TSTP Solution File: LCL648+1.005 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.N2JKGsOlxO true
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:00:58 EDT 2023
% Result : Theorem 1.74s 0.94s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 84
% Syntax : Number of formulae : 913 ( 136 unt; 83 typ; 0 def)
% Number of atoms : 3050 ( 0 equ; 0 cnn)
% Maximal formula atoms : 242 ( 3 avg)
% Number of connectives : 8601 (1653 ~;1550 |; 200 &;4728 @)
% ( 0 <=>; 0 =>; 470 <=; 0 <~>)
% Maximal formula depth : 85 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 84 ( 83 usr; 3 con; 0-2 aty)
% Number of variables : 811 ( 0 ^; 809 !; 2 ?; 811 :)
% Comments :
%------------------------------------------------------------------------------
thf(p505_type,type,
p505: $i > $o ).
thf(sk__24_type,type,
sk__24: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(p202_type,type,
p202: $i > $o ).
thf(sk__34_type,type,
sk__34: $i > $i ).
thf(sk__45_type,type,
sk__45: $i > $i ).
thf(p204_type,type,
p204: $i > $o ).
thf(sk__48_type,type,
sk__48: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(sk__33_type,type,
sk__33: $i > $i ).
thf(p501_type,type,
p501: $i > $o ).
thf(p301_type,type,
p301: $i > $o ).
thf(sk__37_type,type,
sk__37: $i > $i ).
thf(sk__40_type,type,
sk__40: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(p502_type,type,
p502: $i > $o ).
thf(p603_type,type,
p603: $i > $o ).
thf(sk__28_type,type,
sk__28: $i > $i ).
thf(sk__32_type,type,
sk__32: $i > $i ).
thf(sk__22_type,type,
sk__22: $i > $i ).
thf(p304_type,type,
p304: $i > $o ).
thf(p405_type,type,
p405: $i > $o ).
thf(sk__50_type,type,
sk__50: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(p601_type,type,
p601: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(p403_type,type,
p403: $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p401_type,type,
p401: $i > $o ).
thf(p205_type,type,
p205: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(sk__38_type,type,
sk__38: $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(p103_type,type,
p103: $i > $o ).
thf(sk__44_type,type,
sk__44: $i > $i ).
thf(p604_type,type,
p604: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(p402_type,type,
p402: $i > $o ).
thf(sk__23_type,type,
sk__23: $i > $i ).
thf(sk__30_type,type,
sk__30: $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__26_type,type,
sk__26: $i > $i ).
thf(p201_type,type,
p201: $i > $o ).
thf(p302_type,type,
p302: $i > $o ).
thf(p605_type,type,
p605: $i > $o ).
thf(sk__31_type,type,
sk__31: $i > $i ).
thf(sk__49_type,type,
sk__49: $i > $i ).
thf(p102_type,type,
p102: $i > $o ).
thf(sk__17_type,type,
sk__17: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(p504_type,type,
p504: $i > $o ).
thf(p503_type,type,
p503: $i > $o ).
thf(sk__35_type,type,
sk__35: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__51_type,type,
sk__51: $i ).
thf(sk__43_type,type,
sk__43: $i > $i ).
thf(sk__42_type,type,
sk__42: $i > $i ).
thf(p203_type,type,
p203: $i > $o ).
thf(sk__46_type,type,
sk__46: $i > $i ).
thf(sk__41_type,type,
sk__41: $i > $i ).
thf(p602_type,type,
p602: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(sk__39_type,type,
sk__39: $i > $i ).
thf(sk__29_type,type,
sk__29: $i > $i ).
thf(p305_type,type,
p305: $i > $o ).
thf(sk__27_type,type,
sk__27: $i > $i ).
thf(p404_type,type,
p404: $i > $o ).
thf(p303_type,type,
p303: $i > $o ).
thf(sk__21_type,type,
sk__21: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(sk__36_type,type,
sk__36: $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__20_type,type,
sk__20: $i > $i ).
thf(sk__47_type,type,
sk__47: $i > $i ).
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( ( ( p605 @ Y )
& ( p505 @ Y ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ( p504 @ Y ) )
| ( ( p604 @ Y )
& ( p404 @ Y ) )
| ( ( p504 @ Y )
& ( p404 @ Y ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p603 @ Y )
& ( p503 @ Y ) )
| ( ( p603 @ Y )
& ( p403 @ Y ) )
| ( ( p503 @ Y )
& ( p403 @ Y ) )
| ( ( p603 @ Y )
& ( p303 @ Y ) )
| ( ( p503 @ Y )
& ( p303 @ Y ) )
| ( ( p403 @ Y )
& ( p303 @ Y ) )
| ( ( p603 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p503 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p403 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p303 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p603 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p503 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p403 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p303 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p602 @ Y )
& ( p502 @ Y ) )
| ( ( p602 @ Y )
& ( p402 @ Y ) )
| ( ( p502 @ Y )
& ( p402 @ Y ) )
| ( ( p602 @ Y )
& ( p302 @ Y ) )
| ( ( p502 @ Y )
& ( p302 @ Y ) )
| ( ( p402 @ Y )
& ( p302 @ Y ) )
| ( ( p602 @ Y )
& ( p202 @ Y ) )
| ( ( p502 @ Y )
& ( p202 @ Y ) )
| ( ( p402 @ Y )
& ( p202 @ Y ) )
| ( ( p302 @ Y )
& ( p202 @ Y ) )
| ( ( p602 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p502 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p402 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p302 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p202 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p601 @ Y )
& ( p501 @ Y ) )
| ( ( p601 @ Y )
& ( p401 @ Y ) )
| ( ( p501 @ Y )
& ( p401 @ Y ) )
| ( ( p601 @ Y )
& ( p301 @ Y ) )
| ( ( p501 @ Y )
& ( p301 @ Y ) )
| ( ( p401 @ Y )
& ( p301 @ Y ) )
| ( ( p601 @ Y )
& ( p201 @ Y ) )
| ( ( p501 @ Y )
& ( p201 @ Y ) )
| ( ( p401 @ Y )
& ( p201 @ Y ) )
| ( ( p301 @ Y )
& ( p201 @ Y ) )
| ( ( p601 @ Y )
& ( p101 @ Y ) )
| ( ( p501 @ Y )
& ( p101 @ Y ) )
| ( ( p401 @ Y )
& ( p101 @ Y ) )
| ( ( p301 @ Y )
& ( p101 @ Y ) )
| ( ( p201 @ Y )
& ( p101 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( ( p605 @ Y )
| ( p604 @ Y )
| ( p603 @ Y )
| ( p602 @ Y )
| ( p601 @ Y ) )
& ( ( p505 @ Y )
| ( p504 @ Y )
| ( p503 @ Y )
| ( p502 @ Y )
| ( p501 @ Y ) )
& ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p404 @ Y )
| ( p403 @ Y )
| ( p402 @ Y )
| ( p401 @ Y ) )
& ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p303 @ Y )
| ( p302 @ Y )
| ( p301 @ Y ) )
& ( ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p202 @ Y )
| ( p201 @ Y ) )
& ( ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p101 @ Y ) ) )
| ~ ( r1 @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( ( ( p605 @ Y )
& ( p505 @ Y ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p605 @ Y )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p505 @ Y )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ( p504 @ Y ) )
| ( ( p604 @ Y )
& ( p404 @ Y ) )
| ( ( p504 @ Y )
& ( p404 @ Y ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p604 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p504 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p404 @ Y )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p603 @ Y )
& ( p503 @ Y ) )
| ( ( p603 @ Y )
& ( p403 @ Y ) )
| ( ( p503 @ Y )
& ( p403 @ Y ) )
| ( ( p603 @ Y )
& ( p303 @ Y ) )
| ( ( p503 @ Y )
& ( p303 @ Y ) )
| ( ( p403 @ Y )
& ( p303 @ Y ) )
| ( ( p603 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p503 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p403 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p303 @ Y )
& ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p603 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p503 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p403 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p303 @ Y )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p602 @ Y )
& ( p502 @ Y ) )
| ( ( p602 @ Y )
& ( p402 @ Y ) )
| ( ( p502 @ Y )
& ( p402 @ Y ) )
| ( ( p602 @ Y )
& ( p302 @ Y ) )
| ( ( p502 @ Y )
& ( p302 @ Y ) )
| ( ( p402 @ Y )
& ( p302 @ Y ) )
| ( ( p602 @ Y )
& ( p202 @ Y ) )
| ( ( p502 @ Y )
& ( p202 @ Y ) )
| ( ( p402 @ Y )
& ( p202 @ Y ) )
| ( ( p302 @ Y )
& ( p202 @ Y ) )
| ( ( p602 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p502 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p402 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p302 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p202 @ Y )
& ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ( ( p601 @ Y )
& ( p501 @ Y ) )
| ( ( p601 @ Y )
& ( p401 @ Y ) )
| ( ( p501 @ Y )
& ( p401 @ Y ) )
| ( ( p601 @ Y )
& ( p301 @ Y ) )
| ( ( p501 @ Y )
& ( p301 @ Y ) )
| ( ( p401 @ Y )
& ( p301 @ Y ) )
| ( ( p601 @ Y )
& ( p201 @ Y ) )
| ( ( p501 @ Y )
& ( p201 @ Y ) )
| ( ( p401 @ Y )
& ( p201 @ Y ) )
| ( ( p301 @ Y )
& ( p201 @ Y ) )
| ( ( p601 @ Y )
& ( p101 @ Y ) )
| ( ( p501 @ Y )
& ( p101 @ Y ) )
| ( ( p401 @ Y )
& ( p101 @ Y ) )
| ( ( p301 @ Y )
& ( p101 @ Y ) )
| ( ( p201 @ Y )
& ( p101 @ Y ) ) )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( ( ( p605 @ Y )
| ( p604 @ Y )
| ( p603 @ Y )
| ( p602 @ Y )
| ( p601 @ Y ) )
& ( ( p505 @ Y )
| ( p504 @ Y )
| ( p503 @ Y )
| ( p502 @ Y )
| ( p501 @ Y ) )
& ( ! [X: $i] :
( ( p405 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p404 @ Y )
| ( p403 @ Y )
| ( p402 @ Y )
| ( p401 @ Y ) )
& ( ! [X: $i] :
( ( p305 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p304 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p303 @ Y )
| ( p302 @ Y )
| ( p301 @ Y ) )
& ( ! [X: $i] :
( ( p205 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p204 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p203 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p202 @ Y )
| ( p201 @ Y ) )
& ( ! [X: $i] :
( ( p105 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p104 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p103 @ X )
| ~ ( r1 @ Y @ X ) )
| ! [X: $i] :
( ( p102 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p101 @ Y ) ) )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl1,plain,
! [X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 )
| ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 )
| ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 )
| ( p202 @ sk__51 )
| ( p201 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl151,plain,
( ( p202 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl116,plain,
! [X10: $i] :
( ~ ( p202 @ X10 )
| ~ ( p302 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
( ( ~ ( p302 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p202 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl116]) ).
thf(zip_derived_cl6,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl307,plain,
( ~ ( p302 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl6]) ).
thf(zip_derived_cl2,plain,
! [X7: $i,X8: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 )
| ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 )
| ( p303 @ sk__51 )
| ( p302 @ sk__51 )
| ( p301 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl155,plain,
( ( p302 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('0',plain,
( ~ ( p302 @ sk__51 )
| ~ ( p202 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl307,zip_derived_cl155]) ).
thf(zip_derived_cl151_001,plain,
( ( p202 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl113,plain,
! [X10: $i] :
( ~ ( p202 @ X10 )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl281,plain,
( ( ~ ( p602 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p202 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl113]) ).
thf(zip_derived_cl6_002,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282,plain,
( ~ ( p602 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
( ( p605 @ sk__51 )
| ( p604 @ sk__51 )
| ( p603 @ sk__51 )
| ( p602 @ sk__51 )
| ( p601 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl168,plain,
( ( p602 @ sk__51 )
<= ( p602 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('1',plain,
( ~ ( p602 @ sk__51 )
| ~ ( p202 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl282,zip_derived_cl168]) ).
thf(zip_derived_cl147,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl92,plain,
! [X10: $i] :
( ~ ( p203 @ ( sk__38 @ X10 ) )
| ~ ( p403 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl453,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__38 @ X0 ) )
| ~ ( p403 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl92]) ).
thf(zip_derived_cl91,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__38 @ X10 ) )
| ~ ( p403 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl666,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p403 @ sk__51 )
| ~ ( p403 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl453,zip_derived_cl91]) ).
thf(zip_derived_cl6_003,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_004,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl667,plain,
( ( ~ ( p403 @ sk__51 )
| ~ ( p403 @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl666,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl668,plain,
( ~ ( p403 @ sk__51 )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl3,plain,
! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 )
| ( p404 @ sk__51 )
| ( p403 @ sk__51 )
| ( p402 @ sk__51 )
| ( p401 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl160,plain,
( ( p403 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('2',plain,
( ~ ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
| ~ ( p403 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl668,zip_derived_cl160]) ).
thf(zip_derived_cl158,plain,
( ( p401 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl128,plain,
! [X10: $i] :
( ~ ( p401 @ X10 )
| ~ ( p601 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl314,plain,
( ( ~ ( p601 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p401 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl128]) ).
thf(zip_derived_cl6_005,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl315,plain,
( ~ ( p601 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl314,zip_derived_cl6]) ).
thf(zip_derived_cl167,plain,
( ( p601 @ sk__51 )
<= ( p601 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('3',plain,
( ~ ( p401 @ sk__51 )
| ~ ( p601 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl315,zip_derived_cl167]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 )
| ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 )
| ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 )
| ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 )
| ( p101 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl142,plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl126,plain,
! [X10: $i] :
( ~ ( p102 @ ( sk__50 @ X10 ) )
| ~ ( p202 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl471,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__50 @ X0 ) )
| ~ ( p202 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl126]) ).
thf(zip_derived_cl125,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__50 @ X10 ) )
| ~ ( p202 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl767,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p202 @ sk__51 )
| ~ ( p202 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl125]) ).
thf(zip_derived_cl6_006,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_007,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl768,plain,
( ( ~ ( p202 @ sk__51 )
| ~ ( p202 @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl767,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl769,plain,
( ~ ( p202 @ sk__51 )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl768]) ).
thf(zip_derived_cl151_008,plain,
( ( p202 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('4',plain,
( ~ ( p202 @ sk__51 )
| ~ ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl151]) ).
thf(zip_derived_cl151_009,plain,
( ( p202 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl114,plain,
! [X10: $i] :
( ~ ( p202 @ X10 )
| ~ ( p502 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ( ~ ( p502 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p202 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl114]) ).
thf(zip_derived_cl6_010,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl286,plain,
( ~ ( p502 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl6]) ).
thf(zip_derived_cl4,plain,
( ( p505 @ sk__51 )
| ( p504 @ sk__51 )
| ( p503 @ sk__51 )
| ( p502 @ sk__51 )
| ( p501 @ sk__51 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl163,plain,
( ( p502 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('5',plain,
( ~ ( p202 @ sk__51 )
| ~ ( p502 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl286,zip_derived_cl163]) ).
thf(zip_derived_cl146,plain,
( ( p101 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl139,plain,
! [X10: $i] :
( ~ ( p101 @ X10 )
| ~ ( p401 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl385,plain,
( ( ~ ( p401 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p101 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl139]) ).
thf(zip_derived_cl6_011,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
( ~ ( p401 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl385,zip_derived_cl6]) ).
thf(zip_derived_cl158_012,plain,
( ( p401 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('6',plain,
( ~ ( p401 @ sk__51 )
| ~ ( p101 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl386,zip_derived_cl158]) ).
thf(zip_derived_cl154,plain,
( ( p301 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl132,plain,
! [X10: $i] :
( ~ ( p301 @ X10 )
| ~ ( p401 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl340,plain,
( ( ~ ( p401 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p301 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl132]) ).
thf(zip_derived_cl6_013,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
( ~ ( p401 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl6]) ).
thf(zip_derived_cl158_014,plain,
( ( p401 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('7',plain,
( ~ ( p401 @ sk__51 )
| ~ ( p301 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl341,zip_derived_cl158]) ).
thf(zip_derived_cl158_015,plain,
( ( p401 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl129,plain,
! [X10: $i] :
( ~ ( p401 @ X10 )
| ~ ( p501 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl327,plain,
( ( ~ ( p501 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p401 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl129]) ).
thf(zip_derived_cl6_016,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328,plain,
( ~ ( p501 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl327,zip_derived_cl6]) ).
thf(zip_derived_cl162,plain,
( ( p501 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('8',plain,
( ~ ( p401 @ sk__51 )
| ~ ( p501 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl328,zip_derived_cl162]) ).
thf(zip_derived_cl24,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__10 @ X10 ) )
| ( r1 @ X10 @ ( sk__9 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl25,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__10 @ X10 ) )
| ( r1 @ X10 @ ( sk__9 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__10 @ X0 ) )
| ( r1 @ X0 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl25]) ).
thf(zip_derived_cl365,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl364]) ).
thf(zip_derived_cl6_017,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_018,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl366,plain,
( ( ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl367,plain,
( ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl366]) ).
thf(zip_derived_cl157,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl26,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__10 @ X10 ) )
| ~ ( p405 @ ( sk__9 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl376,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__9 @ X0 ) )
| ( r1 @ X0 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl26]) ).
thf(zip_derived_cl377,plain,
( ( ( r1 @ sk__51 @ ( sk__10 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl367,zip_derived_cl376]) ).
thf(zip_derived_cl6_019,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl378,plain,
( ( r1 @ sk__51 @ ( sk__10 @ sk__51 ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl6]) ).
thf(zip_derived_cl149_020,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl27,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__10 @ X10 ) )
| ~ ( p405 @ ( sk__9 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl389,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__10 @ X0 ) )
| ~ ( p405 @ ( sk__9 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl27]) ).
thf(zip_derived_cl157_021,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl390,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__10 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__9 @ X0 ) ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl389,zip_derived_cl157]) ).
thf(zip_derived_cl395,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl390]) ).
thf(zip_derived_cl6_022,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367_023,plain,
( ( r1 @ sk__51 @ ( sk__9 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl366]) ).
thf('9',plain,
( ~ ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
| ~ ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl6,zip_derived_cl367]) ).
thf(zip_derived_cl163_024,plain,
( ( p502 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl107,plain,
! [X10: $i] :
( ~ ( p502 @ X10 )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
( ( ~ ( p602 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p502 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl107]) ).
thf(zip_derived_cl6_025,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
( ~ ( p602 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl6]) ).
thf(zip_derived_cl168_026,plain,
( ( p602 @ sk__51 )
<= ( p602 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('10',plain,
( ~ ( p602 @ sk__51 )
| ~ ( p502 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl241,zip_derived_cl168]) ).
thf(zip_derived_cl16,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__6 @ X10 ) )
| ( r1 @ X10 @ ( sk__5 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl17,plain,
! [X10: $i] :
( ~ ( p305 @ ( sk__6 @ X10 ) )
| ( r1 @ X10 @ ( sk__5 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl264,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__6 @ X0 ) )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl17]) ).
thf(zip_derived_cl265,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl264]) ).
thf(zip_derived_cl6_027,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_028,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl266,plain,
( ( ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl267,plain,
( ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl157_029,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl18,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__6 @ X10 ) )
| ~ ( p405 @ ( sk__5 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl276,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__5 @ X0 ) )
| ( r1 @ X0 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl18]) ).
thf(zip_derived_cl277,plain,
( ( ( r1 @ sk__51 @ ( sk__6 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl276]) ).
thf(zip_derived_cl6_030,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl278,plain,
( ( r1 @ sk__51 @ ( sk__6 @ sk__51 ) )
<= ( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl277,zip_derived_cl6]) ).
thf(zip_derived_cl153_031,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl19,plain,
! [X10: $i] :
( ~ ( p305 @ ( sk__6 @ X10 ) )
| ~ ( p405 @ ( sk__5 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl289,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__6 @ X0 ) )
| ~ ( p405 @ ( sk__5 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl19]) ).
thf(zip_derived_cl157_032,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl290,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__6 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__5 @ X0 ) ) )
<= ( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl157]) ).
thf(zip_derived_cl295,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) ) )
<= ( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl290]) ).
thf(zip_derived_cl6_033,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl267_034,plain,
( ( r1 @ sk__51 @ ( sk__5 @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl266]) ).
thf('11',plain,
( ~ ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
| ~ ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl295,zip_derived_cl6,zip_derived_cl267]) ).
thf(zip_derived_cl36,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__16 @ X10 ) )
| ( r1 @ X10 @ ( sk__15 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl145,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl37,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__16 @ X10 ) )
| ( r1 @ X10 @ ( sk__15 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl472,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__16 @ X0 ) )
| ( r1 @ X0 @ ( sk__15 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl37]) ).
thf(zip_derived_cl476,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl472]) ).
thf(zip_derived_cl6_035,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_036,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl477,plain,
( ( ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl476,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl478,plain,
( ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl157_037,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl38,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__16 @ X10 ) )
| ~ ( p405 @ ( sk__15 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl486,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__15 @ X0 ) )
| ( r1 @ X0 @ ( sk__16 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl38]) ).
thf(zip_derived_cl490,plain,
( ( ( r1 @ sk__51 @ ( sk__16 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl478,zip_derived_cl486]) ).
thf(zip_derived_cl6_038,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl491,plain,
( ( r1 @ sk__51 @ ( sk__16 @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl490,zip_derived_cl6]) ).
thf(zip_derived_cl145_039,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl39,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__16 @ X10 ) )
| ~ ( p405 @ ( sk__15 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl473,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__16 @ X0 ) )
| ~ ( p405 @ ( sk__15 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl39]) ).
thf(zip_derived_cl157_040,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl474,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__16 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__15 @ X0 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl473,zip_derived_cl157]) ).
thf(zip_derived_cl493,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl474]) ).
thf(zip_derived_cl6_041,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl478_042,plain,
( ( r1 @ sk__51 @ ( sk__15 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl477]) ).
thf('12',plain,
( ~ ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
| ~ ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl493,zip_derived_cl6,zip_derived_cl478]) ).
thf(zip_derived_cl161,plain,
( ( p404 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl50,plain,
! [X10: $i] :
( ~ ( p404 @ X10 )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ( ~ ( p504 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p404 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl50]) ).
thf(zip_derived_cl6_043,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ~ ( p504 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl6]) ).
thf(zip_derived_cl165,plain,
( ( p504 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('13',plain,
( ~ ( p504 @ sk__51 )
| ~ ( p404 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl185,zip_derived_cl165]) ).
thf(zip_derived_cl8,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__1 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl157_044,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X10: $i] :
( ~ ( p405 @ ( sk__1 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__1 @ X0 ) )
| ~ ( p605 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl9]) ).
thf(zip_derived_cl195,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl192]) ).
thf(zip_derived_cl6_045,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_046,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
( ( ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl197,plain,
( ~ ( p605 @ sk__51 )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl171,plain,
( ( p605 @ sk__51 )
<= ( p605 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('14',plain,
( ~ ( p605 @ sk__51 )
| ~ ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl171]) ).
thf(zip_derived_cl160_047,plain,
( ( p403 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl83,plain,
! [X10: $i] :
( ~ ( p403 @ X10 )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ( ~ ( p503 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p403 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl83]) ).
thf(zip_derived_cl6_048,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
( ~ ( p503 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl6]) ).
thf(zip_derived_cl164,plain,
( ( p503 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('15',plain,
( ~ ( p503 @ sk__51 )
| ~ ( p403 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl215,zip_derived_cl164]) ).
thf(zip_derived_cl155_049,plain,
( ( p302 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl111,plain,
! [X10: $i] :
( ~ ( p302 @ X10 )
| ~ ( p502 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl268,plain,
( ( ~ ( p502 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p302 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl111]) ).
thf(zip_derived_cl6_050,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
( ~ ( p502 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl268,zip_derived_cl6]) ).
thf(zip_derived_cl163_051,plain,
( ( p502 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('16',plain,
( ~ ( p302 @ sk__51 )
| ~ ( p502 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl269,zip_derived_cl163]) ).
thf(zip_derived_cl142_052,plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl118,plain,
! [X10: $i] :
( ~ ( p102 @ ( sk__46 @ X10 ) )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__46 @ X0 ) )
| ~ ( p602 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl118]) ).
thf(zip_derived_cl117,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__46 @ X10 ) )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl722,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p602 @ sk__51 )
| ~ ( p602 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl467,zip_derived_cl117]) ).
thf(zip_derived_cl6_053,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_054,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl723,plain,
( ( ~ ( p602 @ sk__51 )
| ~ ( p602 @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl722,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl724,plain,
( ~ ( p602 @ sk__51 )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl723]) ).
thf(zip_derived_cl168_055,plain,
( ( p602 @ sk__51 )
<= ( p602 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('17',plain,
( ~ ( p602 @ sk__51 )
| ~ ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl724,zip_derived_cl168]) ).
thf(zip_derived_cl152,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl56,plain,
! [X10: $i] :
( ~ ( p304 @ ( sk__23 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl418,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__23 @ X0 ) )
| ~ ( p404 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl56]) ).
thf(zip_derived_cl55,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__23 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl556,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl55]) ).
thf(zip_derived_cl6_056,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_057,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl557,plain,
( ( ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl556,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl558,plain,
( ~ ( p404 @ sk__51 )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl557]) ).
thf(zip_derived_cl161_058,plain,
( ( p404 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('18',plain,
( ~ ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
| ~ ( p404 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl558,zip_derived_cl161]) ).
thf(zip_derived_cl143,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl100,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__42 @ X10 ) )
| ~ ( p403 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl465,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__42 @ X0 ) )
| ~ ( p403 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl100]) ).
thf(zip_derived_cl99,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__42 @ X10 ) )
| ~ ( p403 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl706,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p403 @ sk__51 )
| ~ ( p403 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl465,zip_derived_cl99]) ).
thf(zip_derived_cl6_059,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_060,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl707,plain,
( ( ~ ( p403 @ sk__51 )
| ~ ( p403 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl708,plain,
( ~ ( p403 @ sk__51 )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl707]) ).
thf(zip_derived_cl160_061,plain,
( ( p403 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('19',plain,
( ~ ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
| ~ ( p403 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl708,zip_derived_cl160]) ).
thf(zip_derived_cl142_062,plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl124,plain,
! [X10: $i] :
( ~ ( p102 @ ( sk__49 @ X10 ) )
| ~ ( p302 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl470,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__49 @ X0 ) )
| ~ ( p302 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl124]) ).
thf(zip_derived_cl123,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__49 @ X10 ) )
| ~ ( p302 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl757,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p302 @ sk__51 )
| ~ ( p302 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl123]) ).
thf(zip_derived_cl6_063,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_064,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl758,plain,
( ( ~ ( p302 @ sk__51 )
| ~ ( p302 @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl759,plain,
( ~ ( p302 @ sk__51 )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl758]) ).
thf(zip_derived_cl155_065,plain,
( ( p302 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('20',plain,
( ~ ( p302 @ sk__51 )
| ~ ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl155]) ).
thf(zip_derived_cl161_066,plain,
( ( p404 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl49,plain,
! [X10: $i] :
( ~ ( p404 @ X10 )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( ~ ( p604 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p404 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl49]) ).
thf(zip_derived_cl6_067,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ~ ( p604 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl6]) ).
thf(zip_derived_cl170,plain,
( ( p604 @ sk__51 )
<= ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('21',plain,
( ~ ( p604 @ sk__51 )
| ~ ( p404 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl170]) ).
thf(zip_derived_cl160_068,plain,
( ( p403 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl82,plain,
! [X10: $i] :
( ~ ( p403 @ X10 )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
( ( ~ ( p603 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p403 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl82]) ).
thf(zip_derived_cl6_069,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ~ ( p603 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl6]) ).
thf(zip_derived_cl169,plain,
( ( p603 @ sk__51 )
<= ( p603 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('22',plain,
( ~ ( p603 @ sk__51 )
| ~ ( p403 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl203,zip_derived_cl169]) ).
thf(zip_derived_cl144,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl72,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__31 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl430,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__31 @ X0 ) )
| ~ ( p404 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl72]) ).
thf(zip_derived_cl71,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__31 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl619,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl71]) ).
thf(zip_derived_cl6_070,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_071,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl620,plain,
( ( ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl621,plain,
( ~ ( p404 @ sk__51 )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl161_072,plain,
( ( p404 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('23',plain,
( ~ ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ~ ( p404 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl621,zip_derived_cl161]) ).
thf(zip_derived_cl155_073,plain,
( ( p302 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl110,plain,
! [X10: $i] :
( ~ ( p302 @ X10 )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl260,plain,
( ( ~ ( p602 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p302 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl110]) ).
thf(zip_derived_cl6_074,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl261,plain,
( ~ ( p602 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl6]) ).
thf(zip_derived_cl168_075,plain,
( ( p602 @ sk__51 )
<= ( p602 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('24',plain,
( ~ ( p602 @ sk__51 )
| ~ ( p302 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl168]) ).
thf(zip_derived_cl10,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__2 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl157_076,plain,
( ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X10: $i] :
( ~ ( p405 @ ( sk__2 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__2 @ X0 ) )
| ~ ( p505 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl11]) ).
thf(zip_derived_cl207,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl193]) ).
thf(zip_derived_cl6_077,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_078,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
( ( ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 ) )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl209,plain,
( ~ ( p505 @ sk__51 )
<= ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl166,plain,
( ( p505 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('25',plain,
( ~ ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) )
| ~ ( p505 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl209,zip_derived_cl166]) ).
thf(zip_derived_cl150,plain,
( ( p201 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl135,plain,
! [X10: $i] :
( ~ ( p201 @ X10 )
| ~ ( p401 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
( ( ~ ( p401 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p201 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl135]) ).
thf(zip_derived_cl6_079,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl361,plain,
( ~ ( p401 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl360,zip_derived_cl6]) ).
thf(zip_derived_cl158_080,plain,
( ( p401 @ sk__51 )
<= ( p401 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('26',plain,
( ~ ( p201 @ sk__51 )
| ~ ( p401 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl158]) ).
thf('27',plain,
( ( p404 @ sk__51 )
| ( p403 @ sk__51 )
| ( p402 @ sk__51 )
| ( p401 @ sk__51 )
| ! [X9: $i] :
( ~ ( r1 @ sk__51 @ X9 )
| ( p405 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl28,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__12 @ X10 ) )
| ( r1 @ X10 @ ( sk__11 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149_081,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl29,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__12 @ X10 ) )
| ( r1 @ X10 @ ( sk__11 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl413,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__12 @ X0 ) )
| ( r1 @ X0 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl29]) ).
thf(zip_derived_cl415,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl413]) ).
thf(zip_derived_cl6_082,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_083,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl416,plain,
( ( ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl415,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl417,plain,
( ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl416]) ).
thf(zip_derived_cl153_084,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl30,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__12 @ X10 ) )
| ~ ( p305 @ ( sk__11 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl421,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__11 @ X0 ) )
| ( r1 @ X0 @ ( sk__12 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl30]) ).
thf(zip_derived_cl423,plain,
( ( ( r1 @ sk__51 @ ( sk__12 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl421]) ).
thf(zip_derived_cl6_085,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl424,plain,
( ( r1 @ sk__51 @ ( sk__12 @ sk__51 ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl6]) ).
thf(zip_derived_cl149_086,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl31,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__12 @ X10 ) )
| ~ ( p305 @ ( sk__11 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__12 @ X0 ) )
| ~ ( p305 @ ( sk__11 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl31]) ).
thf(zip_derived_cl153_087,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl431,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__12 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__11 @ X0 ) ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl153]) ).
thf(zip_derived_cl436,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) ) )
<= ( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl431]) ).
thf(zip_derived_cl6_088,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl417_089,plain,
( ( r1 @ sk__51 @ ( sk__11 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl416]) ).
thf('28',plain,
( ~ ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
| ~ ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl6,zip_derived_cl417]) ).
thf(zip_derived_cl152_090,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl54,plain,
! [X10: $i] :
( ~ ( p304 @ ( sk__22 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__22 @ X0 ) )
| ~ ( p504 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl54]) ).
thf(zip_derived_cl53,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__22 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl548,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl414,zip_derived_cl53]) ).
thf(zip_derived_cl6_091,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_092,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl549,plain,
( ( ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl548,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl550,plain,
( ~ ( p504 @ sk__51 )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl549]) ).
thf(zip_derived_cl165_093,plain,
( ( p504 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('29',plain,
( ~ ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
| ~ ( p504 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl550,zip_derived_cl165]) ).
thf(zip_derived_cl150_094,plain,
( ( p201 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl134,plain,
! [X10: $i] :
( ~ ( p201 @ X10 )
| ~ ( p501 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ( ~ ( p501 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p201 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl134]) ).
thf(zip_derived_cl6_095,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
( ~ ( p501 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl6]) ).
thf(zip_derived_cl162_096,plain,
( ( p501 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('30',plain,
( ~ ( p201 @ sk__51 )
| ~ ( p501 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl357,zip_derived_cl162]) ).
thf(zip_derived_cl150_097,plain,
( ( p201 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl133,plain,
! [X10: $i] :
( ~ ( p201 @ X10 )
| ~ ( p601 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl352,plain,
( ( ~ ( p601 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p201 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl133]) ).
thf(zip_derived_cl6_098,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl353,plain,
( ~ ( p601 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl6]) ).
thf(zip_derived_cl167_099,plain,
( ( p601 @ sk__51 )
<= ( p601 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('31',plain,
( ~ ( p201 @ sk__51 )
| ~ ( p601 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl353,zip_derived_cl167]) ).
thf(zip_derived_cl73,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__33 @ X10 ) )
| ( r1 @ X10 @ ( sk__32 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl144_100,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl74,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__33 @ X10 ) )
| ( r1 @ X10 @ ( sk__32 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl617,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__33 @ X0 ) )
| ( r1 @ X0 @ ( sk__32 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl74]) ).
thf(zip_derived_cl638,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl617]) ).
thf(zip_derived_cl6_101,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_102,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl639,plain,
( ( ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl640,plain,
( ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl639]) ).
thf(zip_derived_cl152_103,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl75,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__33 @ X10 ) )
| ~ ( p304 @ ( sk__32 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl641,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__32 @ X0 ) )
| ( r1 @ X0 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl75]) ).
thf(zip_derived_cl642,plain,
( ( ( r1 @ sk__51 @ ( sk__33 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl641]) ).
thf(zip_derived_cl6_104,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl643,plain,
( ( r1 @ sk__51 @ ( sk__33 @ sk__51 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl642,zip_derived_cl6]) ).
thf(zip_derived_cl144_105,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl76,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__33 @ X10 ) )
| ~ ( p304 @ ( sk__32 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl501,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__33 @ X0 ) )
| ~ ( p304 @ ( sk__32 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl76]) ).
thf(zip_derived_cl152_106,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl504,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__33 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__32 @ X0 ) ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl501,zip_derived_cl152]) ).
thf(zip_derived_cl644,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl504]) ).
thf(zip_derived_cl6_107,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl640_108,plain,
( ( r1 @ sk__51 @ ( sk__32 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl639]) ).
thf('32',plain,
( ~ ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ~ ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl6,zip_derived_cl640]) ).
thf(zip_derived_cl152_109,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl52,plain,
! [X10: $i] :
( ~ ( p304 @ ( sk__21 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl412,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__21 @ X0 ) )
| ~ ( p604 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl52]) ).
thf(zip_derived_cl51,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__21 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl412,zip_derived_cl51]) ).
thf(zip_derived_cl6_110,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_111,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl518,plain,
( ( ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl519,plain,
( ~ ( p604 @ sk__51 )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl518]) ).
thf(zip_derived_cl170_112,plain,
( ( p604 @ sk__51 )
<= ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('33',plain,
( ~ ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
| ~ ( p604 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl170]) ).
thf(zip_derived_cl146_113,plain,
( ( p101 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl141,plain,
! [X10: $i] :
( ~ ( p101 @ X10 )
| ~ ( p201 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl406,plain,
( ( ~ ( p201 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p101 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl141]) ).
thf(zip_derived_cl6_114,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl407,plain,
( ~ ( p201 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl6]) ).
thf(zip_derived_cl150_115,plain,
( ( p201 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('34',plain,
( ~ ( p201 @ sk__51 )
| ~ ( p101 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl407,zip_derived_cl150]) ).
thf(zip_derived_cl170_116,plain,
( ( p604 @ sk__51 )
<= ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl165_117,plain,
( ( p504 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl48,plain,
! [X10: $i] :
( ~ ( p504 @ X10 )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl172,plain,
( ( ~ ( p604 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p504 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl48]) ).
thf(zip_derived_cl6_118,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl173,plain,
( ~ ( p604 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl6]) ).
thf('35',plain,
( ~ ( p504 @ sk__51 )
| ~ ( p604 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl173]) ).
thf(zip_derived_cl147_119,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl90,plain,
! [X10: $i] :
( ~ ( p203 @ ( sk__37 @ X10 ) )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl444,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__37 @ X0 ) )
| ~ ( p503 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl90]) ).
thf(zip_derived_cl89,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__37 @ X10 ) )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl657,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p503 @ sk__51 )
| ~ ( p503 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl444,zip_derived_cl89]) ).
thf(zip_derived_cl6_120,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_121,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl658,plain,
( ( ~ ( p503 @ sk__51 )
| ~ ( p503 @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl657,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl659,plain,
( ~ ( p503 @ sk__51 )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl658]) ).
thf(zip_derived_cl164_122,plain,
( ( p503 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('36',plain,
( ~ ( p503 @ sk__51 )
| ~ ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl659,zip_derived_cl164]) ).
thf(zip_derived_cl20,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__7 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149_123,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl21,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__7 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl316,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__7 @ X0 ) )
| ~ ( p605 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl21]) ).
thf(zip_derived_cl320,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl316]) ).
thf(zip_derived_cl6_124,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_125,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl321,plain,
( ( ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl322,plain,
( ~ ( p605 @ sk__51 )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl321]) ).
thf(zip_derived_cl171_126,plain,
( ( p605 @ sk__51 )
<= ( p605 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('37',plain,
( ~ ( p605 @ sk__51 )
| ~ ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl322,zip_derived_cl171]) ).
thf(zip_derived_cl144_127,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl70,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__30 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__30 @ X0 ) )
| ~ ( p504 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl70]) ).
thf(zip_derived_cl69,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__30 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl610,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl69]) ).
thf(zip_derived_cl6_128,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_129,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
( ( ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl610,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl612,plain,
( ~ ( p504 @ sk__51 )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl165_130,plain,
( ( p504 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('38',plain,
( ~ ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ~ ( p504 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl612,zip_derived_cl165]) ).
thf(zip_derived_cl103,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__45 @ X10 ) )
| ( r1 @ X10 @ ( sk__44 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl143_131,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl104,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__45 @ X10 ) )
| ( r1 @ X10 @ ( sk__44 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl679,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__45 @ X0 ) )
| ( r1 @ X0 @ ( sk__44 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl104]) ).
thf(zip_derived_cl730,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl679]) ).
thf(zip_derived_cl6_132,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_133,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl734,plain,
( ( ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl730,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl735,plain,
( ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl734]) ).
thf(zip_derived_cl147_134,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl105,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__45 @ X10 ) )
| ~ ( p203 @ ( sk__44 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl704,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__44 @ X0 ) )
| ( r1 @ X0 @ ( sk__45 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl105]) ).
thf(zip_derived_cl736,plain,
( ( ( r1 @ sk__51 @ ( sk__45 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
& ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl735,zip_derived_cl704]) ).
thf(zip_derived_cl6_135,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl737,plain,
( ( r1 @ sk__51 @ ( sk__45 @ sk__51 ) )
<= ( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
& ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl736,zip_derived_cl6]) ).
thf(zip_derived_cl143_136,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl106,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__45 @ X10 ) )
| ~ ( p203 @ ( sk__44 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl510,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__45 @ X0 ) )
| ~ ( p203 @ ( sk__44 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl106]) ).
thf(zip_derived_cl147_137,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl511,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__45 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__44 @ X0 ) ) )
<= ( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
& ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl147]) ).
thf(zip_derived_cl738,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) ) )
<= ( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
& ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl737,zip_derived_cl511]) ).
thf(zip_derived_cl6_138,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735_139,plain,
( ( r1 @ sk__51 @ ( sk__44 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl734]) ).
thf('39',plain,
( ~ ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
| ~ ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl6,zip_derived_cl735]) ).
thf(zip_derived_cl147_140,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl88,plain,
! [X10: $i] :
( ~ ( p203 @ ( sk__36 @ X10 ) )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl443,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__36 @ X0 ) )
| ~ ( p603 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl88]) ).
thf(zip_derived_cl87,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__36 @ X10 ) )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl631,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p603 @ sk__51 )
| ~ ( p603 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl443,zip_derived_cl87]) ).
thf(zip_derived_cl6_141,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_142,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl632,plain,
( ( ~ ( p603 @ sk__51 )
| ~ ( p603 @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl631,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl633,plain,
( ~ ( p603 @ sk__51 )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl632]) ).
thf(zip_derived_cl169_143,plain,
( ( p603 @ sk__51 )
<= ( p603 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('40',plain,
( ~ ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
| ~ ( p603 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl169]) ).
thf(zip_derived_cl22,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__8 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl149_144,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl23,plain,
! [X10: $i] :
( ~ ( p205 @ ( sk__8 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl339,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__8 @ X0 ) )
| ~ ( p505 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl23]) ).
thf(zip_derived_cl345,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl339]) ).
thf(zip_derived_cl6_145,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_146,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl346,plain,
( ( ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl347,plain,
( ~ ( p505 @ sk__51 )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl346]) ).
thf(zip_derived_cl166_147,plain,
( ( p505 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('41',plain,
( ~ ( p505 @ sk__51 )
| ~ ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl347,zip_derived_cl166]) ).
thf(zip_derived_cl144_148,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl68,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__29 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl427,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__29 @ X0 ) )
| ~ ( p604 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl68]) ).
thf(zip_derived_cl67,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__29 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl602,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl427,zip_derived_cl67]) ).
thf(zip_derived_cl6_149,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_150,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl603,plain,
( ( ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl602,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl604,plain,
( ~ ( p604 @ sk__51 )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl603]) ).
thf(zip_derived_cl170_151,plain,
( ( p604 @ sk__51 )
<= ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('42',plain,
( ~ ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ~ ( p604 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl170]) ).
thf(zip_derived_cl150_152,plain,
( ( p201 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl136,plain,
! [X10: $i] :
( ~ ( p201 @ X10 )
| ~ ( p301 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
( ( ~ ( p301 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p201 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl136]) ).
thf(zip_derived_cl6_153,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ~ ( p301 @ sk__51 )
<= ( p201 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl6]) ).
thf(zip_derived_cl154_154,plain,
( ( p301 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('43',plain,
( ~ ( p201 @ sk__51 )
| ~ ( p301 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl369,zip_derived_cl154]) ).
thf(zip_derived_cl40,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__18 @ X10 ) )
| ( r1 @ X10 @ ( sk__17 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl145_155,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl41,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__18 @ X10 ) )
| ( r1 @ X10 @ ( sk__17 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl509,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__18 @ X0 ) )
| ( r1 @ X0 @ ( sk__17 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl41]) ).
thf(zip_derived_cl513,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl509]) ).
thf(zip_derived_cl6_156,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_157,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl514,plain,
( ( ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl513,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl515,plain,
( ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl153_158,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl42,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__18 @ X10 ) )
| ~ ( p305 @ ( sk__17 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl524,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__17 @ X0 ) )
| ( r1 @ X0 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl42]) ).
thf(zip_derived_cl525,plain,
( ( ( r1 @ sk__51 @ ( sk__18 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl524]) ).
thf(zip_derived_cl6_159,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl526,plain,
( ( r1 @ sk__51 @ ( sk__18 @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl525,zip_derived_cl6]) ).
thf(zip_derived_cl145_160,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl43,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__18 @ X10 ) )
| ~ ( p305 @ ( sk__17 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl479,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__18 @ X0 ) )
| ~ ( p305 @ ( sk__17 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl43]) ).
thf(zip_derived_cl153_161,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl484,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__18 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__17 @ X0 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl479,zip_derived_cl153]) ).
thf(zip_derived_cl527,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl484]) ).
thf(zip_derived_cl6_162,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl515_163,plain,
( ( r1 @ sk__51 @ ( sk__17 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl514]) ).
thf('44',plain,
( ~ ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
| ~ ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl6,zip_derived_cl515]) ).
thf(zip_derived_cl162_164,plain,
( ( p501 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl127,plain,
! [X10: $i] :
( ~ ( p501 @ X10 )
| ~ ( p601 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl310,plain,
( ( ~ ( p601 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p501 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl127]) ).
thf(zip_derived_cl6_165,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl311,plain,
( ~ ( p601 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl6]) ).
thf(zip_derived_cl167_166,plain,
( ( p601 @ sk__51 )
<= ( p601 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('45',plain,
( ~ ( p501 @ sk__51 )
| ~ ( p601 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl311,zip_derived_cl167]) ).
thf(zip_derived_cl164_167,plain,
( ( p503 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl81,plain,
! [X10: $i] :
( ~ ( p503 @ X10 )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
( ( ~ ( p603 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p503 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl81]) ).
thf(zip_derived_cl6_168,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl189,plain,
( ~ ( p603 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl6]) ).
thf(zip_derived_cl169_169,plain,
( ( p603 @ sk__51 )
<= ( p603 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('46',plain,
( ~ ( p503 @ sk__51 )
| ~ ( p603 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl189,zip_derived_cl169]) ).
thf(zip_derived_cl156,plain,
( ( p303 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl84,plain,
! [X10: $i] :
( ~ ( p303 @ X10 )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
( ( ~ ( p603 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p303 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl84]) ).
thf(zip_derived_cl6_170,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,plain,
( ~ ( p603 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl6]) ).
thf(zip_derived_cl169_171,plain,
( ( p603 @ sk__51 )
<= ( p603 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('47',plain,
( ~ ( p603 @ sk__51 )
| ~ ( p303 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl228,zip_derived_cl169]) ).
thf(zip_derived_cl154_172,plain,
( ( p301 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl130,plain,
! [X10: $i] :
( ~ ( p301 @ X10 )
| ~ ( p601 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
( ( ~ ( p601 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p301 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl130]) ).
thf(zip_derived_cl6_173,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl332,plain,
( ~ ( p601 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl6]) ).
thf(zip_derived_cl167_174,plain,
( ( p601 @ sk__51 )
<= ( p601 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('48',plain,
( ~ ( p301 @ sk__51 )
| ~ ( p601 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl167]) ).
thf(zip_derived_cl145_175,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl35,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__14 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl411,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__14 @ X0 ) )
| ~ ( p505 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl35]) ).
thf(zip_derived_cl34,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__14 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl457,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl34]) ).
thf(zip_derived_cl6_176,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_177,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
( ( ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl457,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl459,plain,
( ~ ( p505 @ sk__51 )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl458]) ).
thf(zip_derived_cl166_178,plain,
( ( p505 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('49',plain,
( ~ ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
| ~ ( p505 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl459,zip_derived_cl166]) ).
thf(zip_derived_cl14,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__4 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153_179,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
! [X10: $i] :
( ~ ( p305 @ ( sk__4 @ X10 ) )
| ~ ( p505 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl239,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__4 @ X0 ) )
| ~ ( p505 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl15]) ).
thf(zip_derived_cl245,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl239]) ).
thf(zip_derived_cl6_180,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_181,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,plain,
( ( ~ ( p505 @ sk__51 )
| ~ ( p505 @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl247,plain,
( ~ ( p505 @ sk__51 )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl166_182,plain,
( ( p505 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('50',plain,
( ~ ( p505 @ sk__51 )
| ~ ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl166]) ).
thf(zip_derived_cl146_183,plain,
( ( p101 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl137,plain,
! [X10: $i] :
( ~ ( p101 @ X10 )
| ~ ( p601 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372,plain,
( ( ~ ( p601 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p101 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl137]) ).
thf(zip_derived_cl6_184,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
( ~ ( p601 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl6]) ).
thf(zip_derived_cl167_185,plain,
( ( p601 @ sk__51 )
<= ( p601 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('51',plain,
( ~ ( p101 @ sk__51 )
| ~ ( p601 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl373,zip_derived_cl167]) ).
thf(zip_derived_cl143_186,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl102,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__43 @ X10 ) )
| ~ ( p303 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__43 @ X0 ) )
| ~ ( p303 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl102]) ).
thf(zip_derived_cl101,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__43 @ X10 ) )
| ~ ( p303 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl714,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p303 @ sk__51 )
| ~ ( p303 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl101]) ).
thf(zip_derived_cl6_187,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_188,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl715,plain,
( ( ~ ( p303 @ sk__51 )
| ~ ( p303 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl714,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl716,plain,
( ~ ( p303 @ sk__51 )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl715]) ).
thf(zip_derived_cl156_189,plain,
( ( p303 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('52',plain,
( ~ ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
| ~ ( p303 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl716,zip_derived_cl156]) ).
thf(zip_derived_cl146_190,plain,
( ( p101 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl138,plain,
! [X10: $i] :
( ~ ( p101 @ X10 )
| ~ ( p501 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl381,plain,
( ( ~ ( p501 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p101 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl138]) ).
thf(zip_derived_cl6_191,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl382,plain,
( ~ ( p501 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl381,zip_derived_cl6]) ).
thf(zip_derived_cl162_192,plain,
( ( p501 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('53',plain,
( ~ ( p501 @ sk__51 )
| ~ ( p101 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl162]) ).
thf('54',plain,
( ( p303 @ sk__51 )
| ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
| ( p302 @ sk__51 )
| ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
| ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl156_193,plain,
( ( p303 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl85,plain,
! [X10: $i] :
( ~ ( p303 @ X10 )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ( ~ ( p503 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p303 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl85]) ).
thf(zip_derived_cl6_194,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl232,plain,
( ~ ( p503 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl231,zip_derived_cl6]) ).
thf(zip_derived_cl164_195,plain,
( ( p503 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('55',plain,
( ~ ( p503 @ sk__51 )
| ~ ( p303 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl164]) ).
thf('56',plain,
( ( p502 @ sk__51 )
| ( p504 @ sk__51 )
| ( p503 @ sk__51 )
| ( p501 @ sk__51 )
| ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl146_196,plain,
( ( p101 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl140,plain,
! [X10: $i] :
( ~ ( p101 @ X10 )
| ~ ( p301 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl402,plain,
( ( ~ ( p301 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p101 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl140]) ).
thf(zip_derived_cl6_197,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl403,plain,
( ~ ( p301 @ sk__51 )
<= ( p101 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl6]) ).
thf(zip_derived_cl154_198,plain,
( ( p301 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('57',plain,
( ~ ( p301 @ sk__51 )
| ~ ( p101 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl403,zip_derived_cl154]) ).
thf(zip_derived_cl154_199,plain,
( ( p301 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl131,plain,
! [X10: $i] :
( ~ ( p301 @ X10 )
| ~ ( p501 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl335,plain,
( ( ~ ( p501 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p301 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl131]) ).
thf(zip_derived_cl6_200,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl336,plain,
( ~ ( p501 @ sk__51 )
<= ( p301 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl335,zip_derived_cl6]) ).
thf(zip_derived_cl162_201,plain,
( ( p501 @ sk__51 )
<= ( p501 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('58',plain,
( ~ ( p501 @ sk__51 )
| ~ ( p301 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl162]) ).
thf(zip_derived_cl143_202,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl98,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__41 @ X10 ) )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl464,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__41 @ X0 ) )
| ~ ( p503 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl98]) ).
thf(zip_derived_cl97,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__41 @ X10 ) )
| ~ ( p503 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl697,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p503 @ sk__51 )
| ~ ( p503 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl464,zip_derived_cl97]) ).
thf(zip_derived_cl6_203,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_204,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl698,plain,
( ( ~ ( p503 @ sk__51 )
| ~ ( p503 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl697,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl699,plain,
( ~ ( p503 @ sk__51 )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl698]) ).
thf(zip_derived_cl164_205,plain,
( ( p503 @ sk__51 )
<= ( p503 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('59',plain,
( ~ ( p503 @ sk__51 )
| ~ ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl699,zip_derived_cl164]) ).
thf(zip_derived_cl145_206,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl33,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__13 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl410,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__13 @ X0 ) )
| ~ ( p605 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl33]) ).
thf(zip_derived_cl32,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__13 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl446,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl32]) ).
thf(zip_derived_cl6_207,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_208,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl447,plain,
( ( ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl446,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl448,plain,
( ~ ( p605 @ sk__51 )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl447]) ).
thf(zip_derived_cl171_209,plain,
( ( p605 @ sk__51 )
<= ( p605 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('60',plain,
( ~ ( p605 @ sk__51 )
| ~ ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl448,zip_derived_cl171]) ).
thf(zip_derived_cl12,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__3 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153_210,plain,
( ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl13,plain,
! [X10: $i] :
( ~ ( p305 @ ( sk__3 @ X10 ) )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl216,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__3 @ X0 ) )
| ~ ( p605 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl13]) ).
thf(zip_derived_cl220,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl216]) ).
thf(zip_derived_cl6_211,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_212,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
( ( ~ ( p605 @ sk__51 )
| ~ ( p605 @ sk__51 ) )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl222,plain,
( ~ ( p605 @ sk__51 )
<= ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl171_213,plain,
( ( p605 @ sk__51 )
<= ( p605 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('61',plain,
( ~ ( p605 @ sk__51 )
| ~ ! [X7: $i] :
( ~ ( r1 @ sk__51 @ X7 )
| ( p305 @ X7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl171]) ).
thf(zip_derived_cl171_214,plain,
( ( p605 @ sk__51 )
<= ( p605 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl166_215,plain,
( ( p505 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X10: $i] :
( ~ ( p505 @ X10 )
| ~ ( p605 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
( ( ~ ( p605 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p505 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl7]) ).
thf(zip_derived_cl6_216,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl175,plain,
( ~ ( p605 @ sk__51 )
<= ( p505 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl6]) ).
thf('62',plain,
( ~ ( p605 @ sk__51 )
| ~ ( p505 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl175]) ).
thf(zip_derived_cl77,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__35 @ X10 ) )
| ( r1 @ X10 @ ( sk__34 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl144_217,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl78,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__35 @ X10 ) )
| ( r1 @ X10 @ ( sk__34 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl652,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__35 @ X0 ) )
| ( r1 @ X0 @ ( sk__34 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl78]) ).
thf(zip_derived_cl653,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl652]) ).
thf(zip_derived_cl6_218,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_219,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl654,plain,
( ( ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl653,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl655,plain,
( ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl654]) ).
thf(zip_derived_cl148,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl79,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__35 @ X10 ) )
| ~ ( p204 @ ( sk__34 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl664,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__34 @ X0 ) )
| ( r1 @ X0 @ ( sk__35 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl79]) ).
thf(zip_derived_cl673,plain,
( ( ( r1 @ sk__51 @ ( sk__35 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl655,zip_derived_cl664]) ).
thf(zip_derived_cl6_220,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl674,plain,
( ( r1 @ sk__51 @ ( sk__35 @ sk__51 ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl673,zip_derived_cl6]) ).
thf(zip_derived_cl144_221,plain,
( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl80,plain,
! [X10: $i] :
( ~ ( p104 @ ( sk__35 @ X10 ) )
| ~ ( p204 @ ( sk__34 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl506,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__35 @ X0 ) )
| ~ ( p204 @ ( sk__34 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl80]) ).
thf(zip_derived_cl148_222,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl507,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__35 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__34 @ X0 ) ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl148]) ).
thf(zip_derived_cl675,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) ) )
<= ( ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
& ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl507]) ).
thf(zip_derived_cl6_223,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655_224,plain,
( ( r1 @ sk__51 @ ( sk__34 @ sk__51 ) )
<= ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl654]) ).
thf('63',plain,
( ~ ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ~ ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl675,zip_derived_cl6,zip_derived_cl655]) ).
thf(zip_derived_cl63,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__28 @ X10 ) )
| ( r1 @ X10 @ ( sk__27 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl148_225,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl64,plain,
! [X10: $i] :
( ~ ( p204 @ ( sk__28 @ X10 ) )
| ( r1 @ X10 @ ( sk__27 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl546,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__28 @ X0 ) )
| ( r1 @ X0 @ ( sk__27 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl64]) ).
thf(zip_derived_cl589,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl546]) ).
thf(zip_derived_cl6_226,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_227,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl593,plain,
( ( ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl594,plain,
( ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl593]) ).
thf(zip_derived_cl152_228,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl65,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__28 @ X10 ) )
| ~ ( p304 @ ( sk__27 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl579,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__27 @ X0 ) )
| ( r1 @ X0 @ ( sk__28 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl65]) ).
thf(zip_derived_cl595,plain,
( ( ( r1 @ sk__51 @ ( sk__28 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl579]) ).
thf(zip_derived_cl6_229,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
( ( r1 @ sk__51 @ ( sk__28 @ sk__51 ) )
<= ( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl595,zip_derived_cl6]) ).
thf(zip_derived_cl148_230,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl66,plain,
! [X10: $i] :
( ~ ( p204 @ ( sk__28 @ X10 ) )
| ~ ( p304 @ ( sk__27 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl496,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__28 @ X0 ) )
| ~ ( p304 @ ( sk__27 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl66]) ).
thf(zip_derived_cl152_231,plain,
( ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
<= ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl502,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__28 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__27 @ X0 ) ) )
<= ( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl496,zip_derived_cl152]) ).
thf(zip_derived_cl597,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) ) )
<= ( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
& ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl502]) ).
thf(zip_derived_cl6_232,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl594_233,plain,
( ( r1 @ sk__51 @ ( sk__27 @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl593]) ).
thf('64',plain,
( ~ ! [X8: $i] :
( ~ ( r1 @ sk__51 @ X8 )
| ( p304 @ X8 ) )
| ~ ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl6,zip_derived_cl594]) ).
thf(zip_derived_cl148_234,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl60,plain,
! [X10: $i] :
( ~ ( p204 @ ( sk__25 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl420,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__25 @ X0 ) )
| ~ ( p504 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl60]) ).
thf(zip_derived_cl59,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__25 @ X10 ) )
| ~ ( p504 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl572,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl59]) ).
thf(zip_derived_cl6_235,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_236,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl573,plain,
( ( ~ ( p504 @ sk__51 )
| ~ ( p504 @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl572,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl574,plain,
( ~ ( p504 @ sk__51 )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl573]) ).
thf(zip_derived_cl165_237,plain,
( ( p504 @ sk__51 )
<= ( p504 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('65',plain,
( ~ ( p504 @ sk__51 )
| ~ ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl165]) ).
thf(zip_derived_cl148_238,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl58,plain,
! [X10: $i] :
( ~ ( p204 @ ( sk__24 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl419,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__24 @ X0 ) )
| ~ ( p604 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl58]) ).
thf(zip_derived_cl57,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__24 @ X10 ) )
| ~ ( p604 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl564,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl57]) ).
thf(zip_derived_cl6_239,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_240,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl565,plain,
( ( ~ ( p604 @ sk__51 )
| ~ ( p604 @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl566,plain,
( ~ ( p604 @ sk__51 )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl565]) ).
thf(zip_derived_cl170_241,plain,
( ( p604 @ sk__51 )
<= ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('66',plain,
( ~ ( p604 @ sk__51 )
| ~ ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl566,zip_derived_cl170]) ).
thf('67',plain,
( ( p601 @ sk__51 )
| ( p603 @ sk__51 )
| ( p602 @ sk__51 )
| ( p605 @ sk__51 )
| ( p604 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl143_242,plain,
( ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl96,plain,
! [X10: $i] :
( ~ ( p103 @ ( sk__40 @ X10 ) )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl455,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__40 @ X0 ) )
| ~ ( p603 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl96]) ).
thf(zip_derived_cl95,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__40 @ X10 ) )
| ~ ( p603 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl689,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p603 @ sk__51 )
| ~ ( p603 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl455,zip_derived_cl95]) ).
thf(zip_derived_cl6_243,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_244,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl690,plain,
( ( ~ ( p603 @ sk__51 )
| ~ ( p603 @ sk__51 ) )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl689,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl691,plain,
( ~ ( p603 @ sk__51 )
<= ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl690]) ).
thf(zip_derived_cl169_245,plain,
( ( p603 @ sk__51 )
<= ( p603 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('68',plain,
( ~ ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
| ~ ( p603 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl169]) ).
thf(zip_derived_cl142_246,plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl122,plain,
! [X10: $i] :
( ~ ( p102 @ ( sk__48 @ X10 ) )
| ~ ( p402 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl469,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__48 @ X0 ) )
| ~ ( p402 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl122]) ).
thf(zip_derived_cl121,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__48 @ X10 ) )
| ~ ( p402 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl751,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p402 @ sk__51 )
| ~ ( p402 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl469,zip_derived_cl121]) ).
thf(zip_derived_cl6_247,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_248,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl752,plain,
( ( ~ ( p402 @ sk__51 )
| ~ ( p402 @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl751,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl753,plain,
( ~ ( p402 @ sk__51 )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl752]) ).
thf(zip_derived_cl159,plain,
( ( p402 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('69',plain,
( ~ ( p402 @ sk__51 )
| ~ ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl159]) ).
thf(zip_derived_cl151_249,plain,
( ( p202 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl115,plain,
! [X10: $i] :
( ~ ( p202 @ X10 )
| ~ ( p402 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl302,plain,
( ( ~ ( p402 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p202 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl115]) ).
thf(zip_derived_cl6_250,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl303,plain,
( ~ ( p402 @ sk__51 )
<= ( p202 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl6]) ).
thf(zip_derived_cl159_251,plain,
( ( p402 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('70',plain,
( ~ ( p402 @ sk__51 )
| ~ ( p202 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl159]) ).
thf(zip_derived_cl155_252,plain,
( ( p302 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl112,plain,
! [X10: $i] :
( ~ ( p302 @ X10 )
| ~ ( p402 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl272,plain,
( ( ~ ( p402 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p302 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl112]) ).
thf(zip_derived_cl6_253,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( ~ ( p402 @ sk__51 )
<= ( p302 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl6]) ).
thf(zip_derived_cl159_254,plain,
( ( p402 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('71',plain,
( ~ ( p402 @ sk__51 )
| ~ ( p302 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl273,zip_derived_cl159]) ).
thf(zip_derived_cl159_255,plain,
( ( p402 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl109,plain,
! [X10: $i] :
( ~ ( p402 @ X10 )
| ~ ( p502 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256,plain,
( ( ~ ( p502 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p402 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl109]) ).
thf(zip_derived_cl6_256,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ~ ( p502 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl6]) ).
thf(zip_derived_cl163_257,plain,
( ( p502 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('72',plain,
( ~ ( p402 @ sk__51 )
| ~ ( p502 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl257,zip_derived_cl163]) ).
thf(zip_derived_cl159_258,plain,
( ( p402 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl108,plain,
! [X10: $i] :
( ~ ( p402 @ X10 )
| ~ ( p602 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl252,plain,
( ( ~ ( p602 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p402 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl108]) ).
thf(zip_derived_cl6_259,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ~ ( p602 @ sk__51 )
<= ( p402 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl6]) ).
thf(zip_derived_cl168_260,plain,
( ( p602 @ sk__51 )
<= ( p602 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('73',plain,
( ~ ( p402 @ sk__51 )
| ~ ( p602 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl168]) ).
thf('74',plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
| ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
| ( p201 @ sk__51 )
| ( p202 @ sk__51 )
| ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl147_261,plain,
( ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl94,plain,
! [X10: $i] :
( ~ ( p203 @ ( sk__39 @ X10 ) )
| ~ ( p303 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__39 @ X0 ) )
| ~ ( p303 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl94]) ).
thf(zip_derived_cl93,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__39 @ X10 ) )
| ~ ( p303 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl681,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p303 @ sk__51 )
| ~ ( p303 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl93]) ).
thf(zip_derived_cl6_262,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_263,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl682,plain,
( ( ~ ( p303 @ sk__51 )
| ~ ( p303 @ sk__51 ) )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl681,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl683,plain,
( ~ ( p303 @ sk__51 )
<= ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl156_264,plain,
( ( p303 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('75',plain,
( ~ ! [X6: $i] :
( ~ ( r1 @ sk__51 @ X6 )
| ( p203 @ X6 ) )
| ~ ( p303 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl683,zip_derived_cl156]) ).
thf(zip_derived_cl156_265,plain,
( ( p303 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl86,plain,
! [X10: $i] :
( ~ ( p303 @ X10 )
| ~ ( p403 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl235,plain,
( ( ~ ( p403 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( p303 @ sk__51 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl86]) ).
thf(zip_derived_cl6_266,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ~ ( p403 @ sk__51 )
<= ( p303 @ sk__51 ) ),
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl6]) ).
thf(zip_derived_cl160_267,plain,
( ( p403 @ sk__51 )
<= ( p403 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('76',plain,
( ~ ( p403 @ sk__51 )
| ~ ( p303 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl236,zip_derived_cl160]) ).
thf(zip_derived_cl148_268,plain,
( ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl62,plain,
! [X10: $i] :
( ~ ( p204 @ ( sk__26 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl422,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__26 @ X0 ) )
| ~ ( p404 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl62]) ).
thf(zip_derived_cl61,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__26 @ X10 ) )
| ~ ( p404 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl581,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl61]) ).
thf(zip_derived_cl6_269,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_270,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl582,plain,
( ( ~ ( p404 @ sk__51 )
| ~ ( p404 @ sk__51 ) )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl583,plain,
( ~ ( p404 @ sk__51 )
<= ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl582]) ).
thf(zip_derived_cl161_271,plain,
( ( p404 @ sk__51 )
<= ( p404 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('77',plain,
( ~ ! [X5: $i] :
( ~ ( r1 @ sk__51 @ X5 )
| ( p204 @ X5 ) )
| ~ ( p404 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl583,zip_derived_cl161]) ).
thf(zip_derived_cl44,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__20 @ X10 ) )
| ( r1 @ X10 @ ( sk__19 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl145_272,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl45,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__20 @ X10 ) )
| ( r1 @ X10 @ ( sk__19 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__20 @ X0 ) )
| ( r1 @ X0 @ ( sk__19 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl45]) ).
thf(zip_derived_cl534,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl531]) ).
thf(zip_derived_cl6_273,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_274,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl538,plain,
( ( ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) )
| ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl534,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl539,plain,
( ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl538]) ).
thf(zip_derived_cl149_275,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl46,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__20 @ X10 ) )
| ~ ( p205 @ ( sk__19 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__19 @ X0 ) )
| ( r1 @ X0 @ ( sk__20 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl46]) ).
thf(zip_derived_cl540,plain,
( ( ( r1 @ sk__51 @ ( sk__20 @ sk__51 ) )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl539,zip_derived_cl532]) ).
thf(zip_derived_cl6_276,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl541,plain,
( ( r1 @ sk__51 @ ( sk__20 @ sk__51 ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl540,zip_derived_cl6]) ).
thf(zip_derived_cl145_277,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl47,plain,
! [X10: $i] :
( ~ ( p105 @ ( sk__20 @ X10 ) )
| ~ ( p205 @ ( sk__19 @ X10 ) )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl487,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__20 @ X0 ) )
| ~ ( p205 @ ( sk__19 @ X0 ) )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl47]) ).
thf(zip_derived_cl149_278,plain,
( ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) )
<= ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl488,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ sk__51 @ ( sk__20 @ X0 ) )
| ~ ( r1 @ sk__51 @ ( sk__19 @ X0 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl487,zip_derived_cl149]) ).
thf(zip_derived_cl542,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) ) )
<= ( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
& ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl541,zip_derived_cl488]) ).
thf(zip_derived_cl6_279,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539_280,plain,
( ( r1 @ sk__51 @ ( sk__19 @ sk__51 ) )
<= ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl538]) ).
thf('78',plain,
( ~ ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
| ~ ! [X4: $i] :
( ~ ( r1 @ sk__51 @ X4 )
| ( p205 @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl6,zip_derived_cl539]) ).
thf('79',plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
| ! [X0: $i] :
( ~ ( r1 @ sk__51 @ X0 )
| ( p105 @ X0 ) )
| ! [X1: $i] :
( ~ ( r1 @ sk__51 @ X1 )
| ( p104 @ X1 ) )
| ! [X2: $i] :
( ~ ( r1 @ sk__51 @ X2 )
| ( p103 @ X2 ) )
| ( p101 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl142_281,plain,
( ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl120,plain,
! [X10: $i] :
( ~ ( p102 @ ( sk__47 @ X10 ) )
| ~ ( p502 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl468,plain,
( ! [X0: $i] :
( ~ ( r1 @ sk__51 @ ( sk__47 @ X0 ) )
| ~ ( p502 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl120]) ).
thf(zip_derived_cl119,plain,
! [X10: $i] :
( ( r1 @ X10 @ ( sk__47 @ X10 ) )
| ~ ( p502 @ X10 )
| ~ ( r1 @ sk_ @ X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl743,plain,
( ( ~ ( r1 @ sk_ @ sk__51 )
| ~ ( p502 @ sk__51 )
| ~ ( p502 @ sk__51 )
| ~ ( r1 @ sk_ @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl119]) ).
thf(zip_derived_cl6_282,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_283,plain,
r1 @ sk_ @ sk__51,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl744,plain,
( ( ~ ( p502 @ sk__51 )
| ~ ( p502 @ sk__51 ) )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl743,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl745,plain,
( ~ ( p502 @ sk__51 )
<= ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl744]) ).
thf(zip_derived_cl163_284,plain,
( ( p502 @ sk__51 )
<= ( p502 @ sk__51 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('80',plain,
( ~ ! [X3: $i] :
( ~ ( r1 @ sk__51 @ X3 )
| ( p102 @ X3 ) )
| ~ ( p502 @ sk__51 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl745,zip_derived_cl163]) ).
thf(zip_derived_cl774,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL648+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.N2JKGsOlxO true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 20:13:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.74/0.94 % Solved by fo/fo1_av.sh.
% 1.74/0.94 % done 512 iterations in 0.141s
% 1.74/0.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.74/0.94 % SZS output start Refutation
% See solution above
% 1.74/0.95
% 1.74/0.95
% 1.74/0.95 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.74/0.95 % Terminating...
% 2.18/1.06 % Runner terminated.
% 2.18/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------