%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN470+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.umFpuQ2tyx true
% Computer : n025.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 Oct 2 05:04:59 PM UTC 2025
% Result : Theorem 26.76s 4.37s
% Output : Refutation 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 737 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 4843 ( 0 equ; 0 cnn)
% Maximal formula atoms : 679 ( 6 avg)
% Number of connectives : 10393 (2494 ~;3055 |; 514 &;3793 @)
% ( 0 <=>; 210 =>; 327 <=; 0 <~>)
% Maximal formula depth : 103 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 69 usr; 66 con; 0-1 aty)
% Number of variables : 874 ( 0 ^; 874 !; 0 ?; 874 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a497_type,type,
a497: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a512_type,type,
a512: $i ).
thf(a510_type,type,
a510: $i ).
thf(a541_type,type,
a541: $i ).
thf(a500_type,type,
a500: $i ).
thf(a530_type,type,
a530: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a494_type,type,
a494: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a501_type,type,
a501: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a498_type,type,
a498: $i ).
thf(a534_type,type,
a534: $i ).
thf(a540_type,type,
a540: $i ).
thf(a504_type,type,
a504: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a495_type,type,
a495: $i ).
thf(a509_type,type,
a509: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a522_type,type,
a522: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a507_type,type,
a507: $i ).
thf(a514_type,type,
a514: $i ).
thf(a533_type,type,
a533: $i ).
thf(a538_type,type,
a538: $i ).
thf(a559_type,type,
a559: $i ).
thf(a532_type,type,
a532: $i ).
thf(a528_type,type,
a528: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a536_type,type,
a536: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a502_type,type,
a502: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a558_type,type,
a558: $i ).
thf(a505_type,type,
a505: $i ).
thf(a520_type,type,
a520: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a527_type,type,
a527: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a499_type,type,
a499: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a554_type,type,
a554: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(hskp3_type,type,
hskp3: $o ).
thf(hskp23_type,type,
hskp23: $o ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a496_type,type,
a496: $i ).
thf(a568_type,type,
a568: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c3_1 @ a494 )
& ~ ( c0_1 @ a494 )
& ~ ( c2_1 @ a494 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a495 )
& ~ ( c0_1 @ a495 )
& ~ ( c3_1 @ a495 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a496 )
& ~ ( c2_1 @ a496 )
& ~ ( c3_1 @ a496 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a497 )
& ~ ( c0_1 @ a497 )
& ~ ( c1_1 @ a497 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a498 )
& ~ ( c0_1 @ a498 )
& ~ ( c2_1 @ a498 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a499 )
& ( c2_1 @ a499 )
& ~ ( c1_1 @ a499 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a501 )
& ( c2_1 @ a501 )
& ~ ( c3_1 @ a501 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ ( c0_1 @ a502 )
& ~ ( c1_1 @ a502 )
& ~ ( c3_1 @ a502 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c2_1 @ a505 )
& ( c3_1 @ a505 )
& ~ ( c0_1 @ a505 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a507 )
& ~ ( c0_1 @ a507 )
& ~ ( c1_1 @ a507 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a509 )
& ( c3_1 @ a509 )
& ~ ( c2_1 @ a509 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a510 )
& ~ ( c1_1 @ a510 )
& ~ ( c2_1 @ a510 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c1_1 @ a514 )
& ( c3_1 @ a514 )
& ~ ( c2_1 @ a514 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a520 )
& ( c2_1 @ a520 )
& ~ ( c3_1 @ a520 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a527 )
& ~ ( c1_1 @ a527 )
& ~ ( c3_1 @ a527 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a528 )
& ( c1_1 @ a528 )
& ~ ( c3_1 @ a528 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a530 )
& ( c3_1 @ a530 )
& ~ ( c1_1 @ a530 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a532 )
& ~ ( c1_1 @ a532 )
& ~ ( c2_1 @ a532 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a533 )
& ( c2_1 @ a533 )
& ~ ( c0_1 @ a533 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a534 )
& ~ ( c2_1 @ a534 )
& ~ ( c3_1 @ a534 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a536 )
& ~ ( c1_1 @ a536 )
& ~ ( c2_1 @ a536 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a538 )
& ~ ( c1_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c1_1 @ a540 )
& ( c3_1 @ a540 )
& ~ ( c0_1 @ a540 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ~ ( c2_1 @ a541 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a554 )
& ~ ( c2_1 @ a554 )
& ~ ( c3_1 @ a554 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a558 )
& ~ ( c0_1 @ a558 )
& ~ ( c3_1 @ a558 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a559 )
& ~ ( c2_1 @ a559 )
& ~ ( c3_1 @ a559 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a568 )
& ( c3_1 @ a568 )
& ~ ( c1_1 @ a568 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a500 )
& ( c2_1 @ a500 )
& ( c3_1 @ a500 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a504 )
& ( c1_1 @ a504 )
& ( c3_1 @ a504 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a512 )
& ( c2_1 @ a512 )
& ( c3_1 @ a512 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a522 )
& ( c1_1 @ a522 )
& ( c2_1 @ a522 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c1_1 @ V )
| ( c3_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c3_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c2_1 @ X )
| ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c3_1 @ Y )
| ~ ( c1_1 @ Y )
| ~ ( c2_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| hskp1 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) )
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp5 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| hskp28
| hskp6 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ~ ( c1_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ) )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp7 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c3_1 @ X17 ) ) )
| hskp28 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp29
| hskp8 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp6
| hskp9 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c2_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) ) )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c1_1 @ X27 ) ) )
| hskp6 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ( c3_1 @ X28 ) ) )
| hskp10
| hskp11 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c2_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) ) )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c1_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) )
| hskp9 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp30
| hskp4 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c1_1 @ X35 ) ) )
| hskp12
| hskp8 )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c1_1 @ X38 ) ) ) )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ~ ( c0_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| hskp8 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c1_1 @ X41 ) ) )
| hskp1
| hskp7 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ( c3_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| hskp28 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c0_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| hskp13
| hskp30 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp31
| hskp30 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp31
| hskp1 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c2_1 @ X48 )
| ~ ( c0_1 @ X48 ) ) )
| hskp10 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c3_1 @ X51 )
| ~ ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) ) )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ~ ( c0_1 @ X53 ) ) )
| hskp14 )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c2_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) )
| hskp15 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| hskp28
| hskp16 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp4
| hskp17 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c2_1 @ X58 )
| ( c3_1 @ X58 ) ) )
| hskp18
| hskp19 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp9 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) )
| hskp20 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) )
| hskp9 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c3_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 ) ) )
| hskp21 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| hskp3 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c0_1 @ X70 ) ) )
| hskp22 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c3_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| hskp23 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| hskp31
| hskp4 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c3_1 @ X74 )
| ~ ( c0_1 @ X74 ) ) )
| hskp5
| hskp7 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) )
| hskp12
| hskp20 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp29 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| hskp20 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 ) ) )
| ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp2 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 ) ) )
| ! [X83: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X83 )
| ~ ( c2_1 @ X83 )
| ~ ( c3_1 @ X83 ) ) )
| hskp31 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 ) ) )
| hskp5
| hskp4 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c0_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp24 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) )
| hskp15
| hskp10 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c2_1 @ X88 )
| ~ ( c1_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| ! [X89: $i] :
( ndr1_0
=> ( ( c3_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| hskp17 )
& ( ! [X90: $i] :
( ndr1_0
=> ( ( c2_1 @ X90 )
| ~ ( c1_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp25
| hskp26 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c1_1 @ X91 ) ) )
| ! [X92: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 ) ) )
| hskp2 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c3_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c1_1 @ X93 ) ) )
| hskp16
| hskp25 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| ! [X95: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X95 )
| ~ ( c2_1 @ X95 )
| ~ ( c3_1 @ X95 ) ) )
| hskp0 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 )
| ~ ( c2_1 @ X96 ) ) )
| hskp12
| hskp8 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp13
| hskp3 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp27
| hskp19 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp22
| hskp17 )
& ( hskp15
| hskp13
| hskp12 )
& ( hskp28
| hskp13
| hskp10 )
& ( hskp28
| hskp21
| hskp20 )
& ( hskp13
| hskp6
| hskp14 )
& ( hskp27
| hskp10
| hskp26 )
& ( hskp11
| hskp17
| hskp26 )
& ( hskp4
| hskp8
| hskp2 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c3_1 @ a494 )
& ~ ( c0_1 @ a494 )
& ~ ( c2_1 @ a494 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a495 )
& ~ ( c0_1 @ a495 )
& ~ ( c3_1 @ a495 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a496 )
& ~ ( c2_1 @ a496 )
& ~ ( c3_1 @ a496 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a497 )
& ~ ( c0_1 @ a497 )
& ~ ( c1_1 @ a497 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a498 )
& ~ ( c0_1 @ a498 )
& ~ ( c2_1 @ a498 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a499 )
& ( c2_1 @ a499 )
& ~ ( c1_1 @ a499 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a501 )
& ( c2_1 @ a501 )
& ~ ( c3_1 @ a501 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ ( c0_1 @ a502 )
& ~ ( c1_1 @ a502 )
& ~ ( c3_1 @ a502 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c2_1 @ a505 )
& ( c3_1 @ a505 )
& ~ ( c0_1 @ a505 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a507 )
& ~ ( c0_1 @ a507 )
& ~ ( c1_1 @ a507 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a509 )
& ( c3_1 @ a509 )
& ~ ( c2_1 @ a509 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a510 )
& ~ ( c1_1 @ a510 )
& ~ ( c2_1 @ a510 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c1_1 @ a514 )
& ( c3_1 @ a514 )
& ~ ( c2_1 @ a514 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a520 )
& ( c2_1 @ a520 )
& ~ ( c3_1 @ a520 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a527 )
& ~ ( c1_1 @ a527 )
& ~ ( c3_1 @ a527 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a528 )
& ( c1_1 @ a528 )
& ~ ( c3_1 @ a528 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a530 )
& ( c3_1 @ a530 )
& ~ ( c1_1 @ a530 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a532 )
& ~ ( c1_1 @ a532 )
& ~ ( c2_1 @ a532 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a533 )
& ( c2_1 @ a533 )
& ~ ( c0_1 @ a533 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a534 )
& ~ ( c2_1 @ a534 )
& ~ ( c3_1 @ a534 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a536 )
& ~ ( c1_1 @ a536 )
& ~ ( c2_1 @ a536 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a538 )
& ~ ( c1_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c1_1 @ a540 )
& ( c3_1 @ a540 )
& ~ ( c0_1 @ a540 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ~ ( c2_1 @ a541 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a554 )
& ~ ( c2_1 @ a554 )
& ~ ( c3_1 @ a554 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a558 )
& ~ ( c0_1 @ a558 )
& ~ ( c3_1 @ a558 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a559 )
& ~ ( c2_1 @ a559 )
& ~ ( c3_1 @ a559 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a568 )
& ( c3_1 @ a568 )
& ~ ( c1_1 @ a568 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a500 )
& ( c2_1 @ a500 )
& ( c3_1 @ a500 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a504 )
& ( c1_1 @ a504 )
& ( c3_1 @ a504 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a512 )
& ( c2_1 @ a512 )
& ( c3_1 @ a512 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a522 )
& ( c1_1 @ a522 )
& ( c2_1 @ a522 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c1_1 @ V )
| ( c3_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c3_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c2_1 @ X )
| ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c3_1 @ Y )
| ~ ( c1_1 @ Y )
| ~ ( c2_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| hskp1 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) )
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp5 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| hskp28
| hskp6 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ~ ( c1_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ) )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp7 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c3_1 @ X17 ) ) )
| hskp28 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp29
| hskp8 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp6
| hskp9 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c2_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) ) )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c1_1 @ X27 ) ) )
| hskp6 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ( c3_1 @ X28 ) ) )
| hskp10
| hskp11 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c2_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) ) )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c1_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) )
| hskp9 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp30
| hskp4 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c1_1 @ X35 ) ) )
| hskp12
| hskp8 )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c1_1 @ X38 ) ) ) )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ~ ( c0_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| hskp8 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c1_1 @ X41 ) ) )
| hskp1
| hskp7 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ( c3_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| hskp28 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c0_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| hskp13
| hskp30 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp31
| hskp30 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp31
| hskp1 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c2_1 @ X48 )
| ~ ( c0_1 @ X48 ) ) )
| hskp10 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c3_1 @ X51 )
| ~ ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) ) )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ~ ( c0_1 @ X53 ) ) )
| hskp14 )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c2_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) )
| hskp15 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| hskp28
| hskp16 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp4
| hskp17 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c2_1 @ X58 )
| ( c3_1 @ X58 ) ) )
| hskp18
| hskp19 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp9 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) )
| hskp20 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) )
| hskp9 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c3_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 ) ) )
| hskp21 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| hskp3 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c0_1 @ X70 ) ) )
| hskp22 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c3_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| hskp23 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| hskp31
| hskp4 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c3_1 @ X74 )
| ~ ( c0_1 @ X74 ) ) )
| hskp5
| hskp7 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) )
| hskp12
| hskp20 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp29 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| hskp20 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 ) ) )
| ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp2 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 ) ) )
| ! [X83: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X83 )
| ~ ( c2_1 @ X83 )
| ~ ( c3_1 @ X83 ) ) )
| hskp31 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 ) ) )
| hskp5
| hskp4 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c0_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp24 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) )
| hskp15
| hskp10 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c2_1 @ X88 )
| ~ ( c1_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| ! [X89: $i] :
( ndr1_0
=> ( ( c3_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| hskp17 )
& ( ! [X90: $i] :
( ndr1_0
=> ( ( c2_1 @ X90 )
| ~ ( c1_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp25
| hskp26 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c1_1 @ X91 ) ) )
| ! [X92: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 ) ) )
| hskp2 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c3_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c1_1 @ X93 ) ) )
| hskp16
| hskp25 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| ! [X95: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X95 )
| ~ ( c2_1 @ X95 )
| ~ ( c3_1 @ X95 ) ) )
| hskp0 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 )
| ~ ( c2_1 @ X96 ) ) )
| hskp12
| hskp8 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp13
| hskp3 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp27
| hskp19 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp22
| hskp17 )
& ( hskp15
| hskp13
| hskp12 )
& ( hskp28
| hskp13
| hskp10 )
& ( hskp28
| hskp21
| hskp20 )
& ( hskp13
| hskp6
| hskp14 )
& ( hskp27
| hskp10
| hskp26 )
& ( hskp11
| hskp17
| hskp26 )
& ( hskp4
| hskp8
| hskp2 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl106,plain,
( ~ hskp22
| ( c3_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl537,plain,
( ( c3_1 @ a540 )
<= ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl14,plain,
! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 )
| ~ ndr1_0
| hskp25
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1542,plain,
( ( ( c2_1 @ a540 )
| ~ ( c1_1 @ a540 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl245]) ).
thf(zip_derived_cl5241,plain,
( ( c2_1 @ a540 )
<= ( c2_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1542]) ).
thf(zip_derived_cl11,plain,
! [X4: $i,X5: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 )
| ~ ndr1_0
| ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl234,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp22
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl217,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl747,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl217]) ).
thf(zip_derived_cl749,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl747]) ).
thf(zip_derived_cl5243,plain,
( ~ ( c1_1 @ a540 )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
& ( c2_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl749]) ).
thf(zip_derived_cl105,plain,
( ~ hskp22
| ( c1_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ( c1_1 @ a540 )
<= ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf('0',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a540 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ~ ( c2_1 @ a540 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5243,zip_derived_cl535]) ).
thf(zip_derived_cl27,plain,
! [X29: $i,X30: $i] :
( ( c1_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c0_1 @ X29 )
| ~ ndr1_0
| ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 )
| ~ ndr1_0
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl297,plain,
( ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
<= ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl16,plain,
! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 )
| ~ ndr1_0
| hskp15
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1185,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl253]) ).
thf(zip_derived_cl1214,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1185]) ).
thf(zip_derived_cl151,plain,
( ~ hskp11
| ~ ( c2_1 @ a510 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl627,plain,
( ~ ( c2_1 @ a510 )
<= ~ ( c2_1 @ a510 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl3079,plain,
( ~ ( c0_1 @ a510 )
<= ( ~ ( c2_1 @ a510 )
& ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1214,zip_derived_cl627]) ).
thf(zip_derived_cl149,plain,
( ~ hskp11
| ( c0_1 @ a510 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl623,plain,
( ( c0_1 @ a510 )
<= ( c0_1 @ a510 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('1',plain,
( ~ ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
| ~ ( c0_1 @ a510 )
| ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ( c2_1 @ a510 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3079,zip_derived_cl623]) ).
thf(zip_derived_cl44,plain,
! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ndr1_0
| hskp1
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
<= ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl245_001,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1888,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl245]) ).
thf(zip_derived_cl1920,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1888]) ).
thf(zip_derived_cl179,plain,
( ~ hskp4
| ~ ( c2_1 @ a498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
( ~ ( c2_1 @ a498 )
<= ~ ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl7593,plain,
( ( ~ ( c1_1 @ a498 )
| ( c0_1 @ a498 ) )
<= ( ~ ( c2_1 @ a498 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1920,zip_derived_cl683]) ).
thf('2',plain,
( ~ ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a498 )
| ( c0_1 @ a498 )
| ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl7593]) ).
thf(zip_derived_cl195,plain,
( ~ hskp0
| ~ ( c2_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ~ ( c2_1 @ a494 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl193,plain,
( ~ hskp0
| ( c3_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ( c3_1 @ a494 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl115,plain,
( ~ hskp20
| ~ ( c2_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ~ ( c2_1 @ a536 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl114,plain,
( ~ hskp20
| ~ ( c1_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ~ ( c1_1 @ a536 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl135,plain,
( ~ hskp15
| ~ ( c3_1 @ a528 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl595,plain,
( ~ ( c3_1 @ a528 )
<= ~ ( c3_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl15,plain,
! [X10: $i,X11: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 )
| ~ ndr1_0
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ndr1_0
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl249,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl856,plain,
( ( ~ ( c0_1 @ a528 )
| ~ ( c2_1 @ a528 ) )
<= ( ~ ( c3_1 @ a528 )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl249]) ).
thf('7',plain,
( ~ ( c2_1 @ a528 )
| ( c3_1 @ a528 )
| ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ~ ( c0_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl856]) ).
thf(zip_derived_cl249_002,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl217_003,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl789,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl217]) ).
thf(zip_derived_cl794,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl789]) ).
thf(zip_derived_cl71,plain,
( ~ hskp31
| ( c2_1 @ a522 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ( c2_1 @ a522 )
<= ( c2_1 @ a522 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl2397,plain,
( ( ~ ( c0_1 @ a522 )
| ~ ( c1_1 @ a522 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
& ( c2_1 @ a522 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl794,zip_derived_cl467]) ).
thf('8',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a522 )
| ~ ( c0_1 @ a522 )
| ~ ( c2_1 @ a522 )
| ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2397]) ).
thf(zip_derived_cl154,plain,
( ~ hskp10
| ( c3_1 @ a509 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl633,plain,
( ( c3_1 @ a509 )
<= ( c3_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl22,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 )
| ~ ndr1_0
| ( c1_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl278,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1703,plain,
( ( ( c1_1 @ a509 )
| ~ ( c0_1 @ a509 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a509 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl278]) ).
thf('9',plain,
( ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ( c1_1 @ a509 )
| ~ ( c0_1 @ a509 )
| ~ ( c3_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl1703]) ).
thf(zip_derived_cl51,plain,
! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ndr1_0
| hskp10
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl245_004,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl2096,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl245]) ).
thf(zip_derived_cl2131,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2096]) ).
thf(zip_derived_cl683_005,plain,
( ~ ( c2_1 @ a498 )
<= ~ ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl7771,plain,
( ( ( c0_1 @ a498 )
| ~ ( c1_1 @ a498 ) )
<= ( ~ ( c2_1 @ a498 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2131,zip_derived_cl683]) ).
thf('10',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a498 )
| ( c0_1 @ a498 )
| ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl7771]) ).
thf(zip_derived_cl18,plain,
! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ndr1_0
| hskp5
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl261,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl118,plain,
( ~ hskp19
| ~ ( c2_1 @ a534 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl561,plain,
( ~ ( c2_1 @ a534 )
<= ~ ( c2_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl901,plain,
( ( ~ ( c1_1 @ a534 )
| ~ ( c0_1 @ a534 ) )
<= ( ~ ( c2_1 @ a534 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl561]) ).
thf('11',plain,
( ~ ( c0_1 @ a534 )
| ~ ( c1_1 @ a534 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ( c2_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl901]) ).
thf(zip_derived_cl125,plain,
( ~ hskp17
| ( c3_1 @ a532 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl575,plain,
( ( c3_1 @ a532 )
<= ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl278_006,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1607,plain,
( ( ( c1_1 @ a532 )
| ~ ( c0_1 @ a532 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a532 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl278]) ).
thf('12',plain,
( ~ ( c0_1 @ a532 )
| ~ ( c3_1 @ a532 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ( c1_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl1607]) ).
thf('13',plain,
( hskp5
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| hskp4
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl365_007,plain,
( ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
<= ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl191,plain,
( ~ hskp1
| ~ ( c3_1 @ a495 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl707,plain,
( ~ ( c3_1 @ a495 )
<= ~ ( c3_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl1895,plain,
( ( ~ ( c1_1 @ a495 )
| ( c0_1 @ a495 ) )
<= ( ~ ( c3_1 @ a495 )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl707]) ).
thf('14',plain,
( ~ ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
| ~ ( c1_1 @ a495 )
| ( c0_1 @ a495 )
| ( c3_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl1895]) ).
thf(zip_derived_cl39,plain,
! [X51: $i,X52: $i] :
( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 )
| ~ ndr1_0
| ( c1_1 @ X52 )
| ( c2_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('15',plain,
( hskp10
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl297_008,plain,
( ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
<= ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl187,plain,
( ~ hskp2
| ~ ( c3_1 @ a496 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl699,plain,
( ~ ( c3_1 @ a496 )
<= ~ ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl1189,plain,
( ( ~ ( c0_1 @ a496 )
| ( c2_1 @ a496 ) )
<= ( ~ ( c3_1 @ a496 )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl699]) ).
thf('16',plain,
( ~ ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
| ~ ( c0_1 @ a496 )
| ( c3_1 @ a496 )
| ( c2_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl1189]) ).
thf(zip_derived_cl33,plain,
! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ndr1_0
| hskp18
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl321,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl699_009,plain,
( ~ ( c3_1 @ a496 )
<= ~ ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl1492,plain,
( ( ( c2_1 @ a496 )
| ( c1_1 @ a496 ) )
<= ( ~ ( c3_1 @ a496 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl699]) ).
thf('17',plain,
( ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
| ( c1_1 @ a496 )
| ( c2_1 @ a496 )
| ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl1492]) ).
thf(zip_derived_cl249_010,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl278_011,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1047,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl278]) ).
thf(zip_derived_cl1049,plain,
( ! [X0: $i] :
( ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1047]) ).
thf(zip_derived_cl174,plain,
( ~ hskp5
| ( c2_1 @ a499 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl673,plain,
( ( c2_1 @ a499 )
<= ( c2_1 @ a499 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl2656,plain,
( ( ~ ( c0_1 @ a499 )
| ( c1_1 @ a499 ) )
<= ( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c2_1 @ a499 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1049,zip_derived_cl673]) ).
thf('18',plain,
( ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ~ ( c0_1 @ a499 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c2_1 @ a499 )
| ( c1_1 @ a499 ) ),
inference(split,[status(esa)],[zip_derived_cl2656]) ).
thf(zip_derived_cl66,plain,
! [X100: $i,X101: $i,X102: $i] :
( ( c0_1 @ X100 )
| ( c1_1 @ X100 )
| ( c3_1 @ X100 )
| ~ ndr1_0
| ( c0_1 @ X101 )
| ( c2_1 @ X101 )
| ( c3_1 @ X101 )
| ~ ndr1_0
| ( c3_1 @ X102 )
| ~ ( c1_1 @ X102 )
| ~ ( c2_1 @ X102 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('19',plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
| ~ ndr1_0
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl393_012,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl707_013,plain,
( ~ ( c3_1 @ a495 )
<= ~ ( c3_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl2105,plain,
( ( ( c2_1 @ a495 )
| ( c0_1 @ a495 ) )
<= ( ~ ( c3_1 @ a495 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl707]) ).
thf('20',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ( c0_1 @ a495 )
| ( c2_1 @ a495 )
| ( c3_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl2105]) ).
thf(zip_derived_cl189,plain,
( ~ hskp1
| ( c1_1 @ a495 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ( c1_1 @ a495 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf(zip_derived_cl190,plain,
( ~ hskp1
| ~ ( c0_1 @ a495 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ~ ( c0_1 @ a495 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf('23',plain,
( ~ ( c3_1 @ a495 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl65,plain,
! [X98: $i,X99: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 )
| ~ ndr1_0
| ( c1_1 @ X99 )
| ( c3_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( hskp1
| ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
| ~ ndr1_0
| ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl79,plain,
( ~ hskp29
| ( c3_1 @ a504 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl483,plain,
( ( c3_1 @ a504 )
<= ( c3_1 @ a504 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl253_014,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1440,plain,
( ( ( c2_1 @ a504 )
| ~ ( c0_1 @ a504 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c3_1 @ a504 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl253]) ).
thf('25',plain,
( ( c2_1 @ a504 )
| ~ ( c3_1 @ a504 )
| ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ( c0_1 @ a504 ) ),
inference(split,[status(esa)],[zip_derived_cl1440]) ).
thf(zip_derived_cl77,plain,
( ~ hskp29
| ( c0_1 @ a504 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ( c0_1 @ a504 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl78,plain,
( ~ hskp29
| ( c1_1 @ a504 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('27',plain,
( ( c1_1 @ a504 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf('28',plain,
( ( c3_1 @ a504 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf('29',plain,
( hskp29
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ndr1_0
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl86,plain,
( ~ hskp27
| ( c3_1 @ a568 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl497,plain,
( ( c3_1 @ a568 )
<= ( c3_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl21,plain,
! [X20: $i,X21: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 )
| ~ ndr1_0
| ( c2_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl274,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1465,plain,
( ( ( c1_1 @ a568 )
| ~ ( c2_1 @ a568 ) )
<= ( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
& ( c3_1 @ a568 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl274]) ).
thf('30',plain,
( ~ ( c2_1 @ a568 )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ( c1_1 @ a568 )
| ~ ( c3_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl1465]) ).
thf(zip_derived_cl497_015,plain,
( ( c3_1 @ a568 )
<= ( c3_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl217_016,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1461,plain,
( ( ~ ( c1_1 @ a568 )
| ~ ( c2_1 @ a568 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a568 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl217]) ).
thf(zip_derived_cl2501,plain,
( ~ ( c2_1 @ a568 )
<= ~ ( c2_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl1461]) ).
thf(zip_derived_cl28,plain,
! [X31: $i,X32: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ndr1_0
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl2506,plain,
( ( ( c1_1 @ a568 )
| ~ ( c0_1 @ a568 ) )
<= ( ~ ( c2_1 @ a568 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2501,zip_derived_cl301]) ).
thf('31',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ( c2_1 @ a568 )
| ( c1_1 @ a568 )
| ~ ( c0_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl2506]) ).
thf('32',plain,
( hskp10
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ndr1_0
| hskp15 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X16: $i,X17: $i] :
( ( c2_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ndr1_0
| ~ ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ( c3_1 @ X17 )
| ~ ndr1_0
| hskp31 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( hskp31
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ndr1_0
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl41,plain,
! [X54: $i] :
( ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ndr1_0
| hskp31
| hskp30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('34',plain,
( hskp30
| hskp31
| ~ ndr1_0
| ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl64,plain,
! [X96: $i,X97: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 )
| ~ ndr1_0
| ~ ( c0_1 @ X97 )
| ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( hskp2
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0
| ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl446,plain,
( ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
<= ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl167,plain,
( ~ hskp7
| ~ ( c3_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl659,plain,
( ~ ( c3_1 @ a502 )
<= ~ ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl2152,plain,
( ( ( c1_1 @ a502 )
| ( c0_1 @ a502 ) )
<= ( ~ ( c3_1 @ a502 )
& ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl659]) ).
thf('36',plain,
( ~ ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
| ( c0_1 @ a502 )
| ( c1_1 @ a502 )
| ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl2152]) ).
thf(zip_derived_cl166,plain,
( ~ hskp7
| ~ ( c1_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('37',plain,
( ~ ( c1_1 @ a502 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl142,plain,
( ~ hskp13
| ( c2_1 @ a520 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl609,plain,
( ( c2_1 @ a520 )
<= ( c2_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl31,plain,
! [X37: $i,X38: $i] :
( ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ~ ( c0_1 @ X37 )
| ~ ndr1_0
| ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl313,plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
<= ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1665,plain,
( ( ( c1_1 @ a520 )
| ~ ( c0_1 @ a520 ) )
<= ( ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
& ( c2_1 @ a520 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl313]) ).
thf('38',plain,
( ~ ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
| ( c1_1 @ a520 )
| ~ ( c0_1 @ a520 )
| ~ ( c2_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl1665]) ).
thf(zip_derived_cl483_017,plain,
( ( c3_1 @ a504 )
<= ( c3_1 @ a504 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl245_018,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1439,plain,
( ( ( c2_1 @ a504 )
| ~ ( c1_1 @ a504 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a504 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl245]) ).
thf(zip_derived_cl5109,plain,
( ( c2_1 @ a504 )
<= ( c2_1 @ a504 ) ),
inference(split,[status(esa)],[zip_derived_cl1439]) ).
thf(zip_derived_cl10,plain,
! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp12
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl5131,plain,
( ( ~ ( c0_1 @ a504 )
| ~ ( c1_1 @ a504 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a504 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5109,zip_derived_cl229]) ).
thf('39',plain,
( ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a504 )
| ~ ( c1_1 @ a504 )
| ~ ( c0_1 @ a504 ) ),
inference(split,[status(esa)],[zip_derived_cl5131]) ).
thf(zip_derived_cl101,plain,
( ~ hskp23
| ( c0_1 @ a541 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( ( c0_1 @ a541 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp23
| ( c1_1 @ a541 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( ( c1_1 @ a541 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp23
| ~ ( c2_1 @ a541 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('42',plain,
( ~ ( c2_1 @ a541 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl261_019,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl531,plain,
( ~ ( c2_1 @ a541 )
<= ~ ( c2_1 @ a541 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl904,plain,
( ( ~ ( c1_1 @ a541 )
| ~ ( c0_1 @ a541 ) )
<= ( ~ ( c2_1 @ a541 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl531]) ).
thf('43',plain,
( ~ ( c1_1 @ a541 )
| ( c2_1 @ a541 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c0_1 @ a541 ) ),
inference(split,[status(esa)],[zip_derived_cl904]) ).
thf(zip_derived_cl26,plain,
! [X27: $i,X28: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ndr1_0
| ( c3_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ndr1_0
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('44',plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| hskp23
| ~ ndr1_0
| ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl2,plain,
( hskp27
| hskp10
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('45',plain,
( hskp26
| hskp10
| hskp27 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl301_020,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl186,plain,
( ~ hskp2
| ~ ( c2_1 @ a496 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl697,plain,
( ~ ( c2_1 @ a496 )
<= ~ ( c2_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl1241,plain,
( ( ~ ( c0_1 @ a496 )
| ( c1_1 @ a496 ) )
<= ( ~ ( c2_1 @ a496 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl697]) ).
thf('46',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ( c0_1 @ a496 )
| ( c1_1 @ a496 )
| ( c2_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl1241]) ).
thf(zip_derived_cl297_021,plain,
( ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
<= ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl707_022,plain,
( ~ ( c3_1 @ a495 )
<= ~ ( c3_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl1188,plain,
( ( ~ ( c0_1 @ a495 )
| ( c2_1 @ a495 ) )
<= ( ~ ( c3_1 @ a495 )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl707]) ).
thf(zip_derived_cl4078,plain,
( ( c2_1 @ a495 )
<= ( c2_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl1188]) ).
thf(zip_derived_cl40,plain,
! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ndr1_0
| hskp31
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl4096,plain,
( ( ( c0_1 @ a495 )
| ~ ( c1_1 @ a495 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a495 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4078,zip_derived_cl349]) ).
thf('47',plain,
( ~ ( c2_1 @ a495 )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ( c0_1 @ a495 )
| ~ ( c1_1 @ a495 ) ),
inference(split,[status(esa)],[zip_derived_cl4096]) ).
thf(zip_derived_cl446_023,plain,
( ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
<= ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) ) ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl699_024,plain,
( ~ ( c3_1 @ a496 )
<= ~ ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl2150,plain,
( ( ( c1_1 @ a496 )
| ( c0_1 @ a496 ) )
<= ( ~ ( c3_1 @ a496 )
& ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl446,zip_derived_cl699]) ).
thf('48',plain,
( ( c0_1 @ a496 )
| ~ ! [X96: $i] :
( ( c0_1 @ X96 )
| ( c1_1 @ X96 )
| ( c3_1 @ X96 ) )
| ( c3_1 @ a496 )
| ( c1_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl2150]) ).
thf(zip_derived_cl393_025,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl91,plain,
( ~ hskp26
| ~ ( c3_1 @ a559 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl507,plain,
( ~ ( c3_1 @ a559 )
<= ~ ( c3_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl2116,plain,
( ( ( c2_1 @ a559 )
| ( c0_1 @ a559 ) )
<= ( ~ ( c3_1 @ a559 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl507]) ).
thf('49',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ( c0_1 @ a559 )
| ( c2_1 @ a559 )
| ( c3_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl2116]) ).
thf(zip_derived_cl467_026,plain,
( ( c2_1 @ a522 )
<= ( c2_1 @ a522 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl12,plain,
! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ndr1_0
| hskp16
| hskp25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl237,plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl217_027,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl755,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl217]) ).
thf(zip_derived_cl757,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl755]) ).
thf(zip_derived_cl1370,plain,
( ( ~ ( c0_1 @ a522 )
| ~ ( c1_1 @ a522 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
& ( c2_1 @ a522 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl757]) ).
thf('50',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a522 )
| ~ ( c1_1 @ a522 )
| ~ ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ~ ( c2_1 @ a522 ) ),
inference(split,[status(esa)],[zip_derived_cl1370]) ).
thf(zip_derived_cl575_028,plain,
( ( c3_1 @ a532 )
<= ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl32,plain,
! [X39: $i,X40: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ndr1_0
| ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl317,plain,
( ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
<= ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1608,plain,
( ( ( c1_1 @ a532 )
| ( c2_1 @ a532 ) )
<= ( ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
& ( c3_1 @ a532 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl317]) ).
thf('51',plain,
( ~ ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ( c1_1 @ a532 )
| ( c2_1 @ a532 )
| ~ ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl1608]) ).
thf('52',plain,
( hskp9
| ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl47,plain,
! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ndr1_0
| hskp12
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl377,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl349_029,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl2031,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl349]) ).
thf(zip_derived_cl2088,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2031]) ).
thf(zip_derived_cl169,plain,
( ~ hskp6
| ( c1_1 @ a501 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl663,plain,
( ( c1_1 @ a501 )
<= ( c1_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl2945,plain,
( ( c0_1 @ a501 )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
& ( c1_1 @ a501 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2088,zip_derived_cl663]) ).
thf(zip_derived_cl171,plain,
( ~ hskp6
| ~ ( c3_1 @ a501 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl667,plain,
( ~ ( c3_1 @ a501 )
<= ~ ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl237_030,plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl939,plain,
( ( ~ ( c0_1 @ a501 )
| ~ ( c1_1 @ a501 ) )
<= ( ~ ( c3_1 @ a501 )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl237]) ).
thf(zip_derived_cl1216,plain,
( ~ ( c0_1 @ a501 )
<= ~ ( c0_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl939]) ).
thf('53',plain,
( ~ ( c1_1 @ a501 )
| ( c0_1 @ a501 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2945,zip_derived_cl1216]) ).
thf(zip_derived_cl181,plain,
( ~ hskp3
| ( c2_1 @ a497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ( c2_1 @ a497 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl182,plain,
( ~ hskp3
| ~ ( c0_1 @ a497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('55',plain,
( ~ ( c0_1 @ a497 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl183,plain,
( ~ hskp3
| ~ ( c1_1 @ a497 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( ~ ( c1_1 @ a497 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl687,plain,
( ( c2_1 @ a497 )
<= ( c2_1 @ a497 ) ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl60,plain,
! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 )
| ~ ndr1_0
| hskp28
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
<= ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2009,plain,
( ( ( c0_1 @ a497 )
| ( c1_1 @ a497 ) )
<= ( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
& ( c2_1 @ a497 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl687,zip_derived_cl429]) ).
thf('57',plain,
( ~ ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ( c0_1 @ a497 )
| ( c1_1 @ a497 )
| ~ ( c2_1 @ a497 ) ),
inference(split,[status(esa)],[zip_derived_cl2009]) ).
thf(zip_derived_cl69,plain,
( ~ hskp31
| ( c0_1 @ a522 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('58',plain,
( ( c0_1 @ a522 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl70,plain,
( ~ hskp31
| ( c1_1 @ a522 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( ( c1_1 @ a522 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf('60',plain,
( ( c2_1 @ a522 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl467_031,plain,
( ( c2_1 @ a522 )
<= ( c2_1 @ a522 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl229_032,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1372,plain,
( ( ~ ( c0_1 @ a522 )
| ~ ( c1_1 @ a522 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a522 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl229]) ).
thf('61',plain,
( ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c0_1 @ a522 )
| ~ ( c2_1 @ a522 )
| ~ ( c1_1 @ a522 ) ),
inference(split,[status(esa)],[zip_derived_cl1372]) ).
thf(zip_derived_cl62,plain,
! [X92: $i,X93: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ndr1_0
| ( c3_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c2_1 @ X93 )
| ~ ndr1_0
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( hskp4
| ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl25,plain,
! [X26: $i] :
( ( c1_1 @ X26 )
| ( c3_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ndr1_0
| hskp31
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('63',plain,
( hskp31
| hskp4
| ~ ndr1_0
| ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl595_033,plain,
( ~ ( c3_1 @ a528 )
<= ~ ( c3_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl234_034,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl854,plain,
( ( ~ ( c1_1 @ a528 )
| ~ ( c2_1 @ a528 ) )
<= ( ~ ( c3_1 @ a528 )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl234]) ).
thf('64',plain,
( ~ ( c2_1 @ a528 )
| ( c3_1 @ a528 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ~ ( c1_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl143,plain,
( ~ hskp13
| ~ ( c3_1 @ a520 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
( ~ ( c3_1 @ a520 )
<= ~ ( c3_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl234_035,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl866,plain,
( ( ~ ( c1_1 @ a520 )
| ~ ( c2_1 @ a520 ) )
<= ( ~ ( c3_1 @ a520 )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl234]) ).
thf('65',plain,
( ~ ( c1_1 @ a520 )
| ( c3_1 @ a520 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ~ ( c2_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl866]) ).
thf(zip_derived_cl157,plain,
( ~ hskp9
| ( c3_1 @ a507 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( ( c3_1 @ a507 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp9
| ~ ( c0_1 @ a507 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ~ ( c0_1 @ a507 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp9
| ~ ( c1_1 @ a507 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('68',plain,
( ~ ( c1_1 @ a507 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl639,plain,
( ( c3_1 @ a507 )
<= ( c3_1 @ a507 ) ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl55,plain,
! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 )
| ~ ndr1_0
| hskp6
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl409,plain,
( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
<= ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1981,plain,
( ( ( c0_1 @ a507 )
| ( c1_1 @ a507 ) )
<= ( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
& ( c3_1 @ a507 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl409]) ).
thf('69',plain,
( ~ ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ( c0_1 @ a507 )
| ( c1_1 @ a507 )
| ~ ( c3_1 @ a507 ) ),
inference(split,[status(esa)],[zip_derived_cl1981]) ).
thf(zip_derived_cl30,plain,
! [X35: $i,X36: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ndr1_0
| ( c3_1 @ X36 )
| ~ ( c0_1 @ X36 )
| ~ ( c1_1 @ X36 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('70',plain,
( hskp9
| ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl49,plain,
! [X66: $i,X67: $i] :
( ( c0_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ndr1_0
| ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('71',plain,
( hskp9
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl667_036,plain,
( ~ ( c3_1 @ a501 )
<= ~ ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl234_037,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl938,plain,
( ( ~ ( c1_1 @ a501 )
| ~ ( c2_1 @ a501 ) )
<= ( ~ ( c3_1 @ a501 )
& ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl234]) ).
thf('72',plain,
( ~ ( c1_1 @ a501 )
| ( c3_1 @ a501 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ~ ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl938]) ).
thf(zip_derived_cl29,plain,
! [X33: $i,X34: $i] :
( ( c1_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ndr1_0
| ( c3_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ndr1_0
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('73',plain,
( hskp21
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl160,plain,
( ~ hskp8
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ndr1_0
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl176,plain,
( ~ hskp4
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('75',plain,
( ndr1_0
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl184,plain,
( ~ hskp2
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('76',plain,
( ndr1_0
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl184]) ).
thf(zip_derived_cl130,plain,
( ~ hskp16
| ( c3_1 @ a530 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl585,plain,
( ( c3_1 @ a530 )
<= ( c3_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl409_038,plain,
( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
<= ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1984,plain,
( ( ( c0_1 @ a530 )
| ( c1_1 @ a530 ) )
<= ( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
& ( c3_1 @ a530 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl409]) ).
thf('77',plain,
( ( c0_1 @ a530 )
| ~ ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ( c1_1 @ a530 )
| ~ ( c3_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl1984]) ).
thf(zip_derived_cl38,plain,
! [X48: $i,X49: $i,X50: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 )
| ~ ndr1_0
| ( c1_1 @ X49 )
| ~ ( c0_1 @ X49 )
| ~ ( c3_1 @ X49 )
| ~ ndr1_0
| ( c3_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
| ~ ndr1_0
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl162,plain,
( ~ hskp8
| ( c3_1 @ a505 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl649,plain,
( ( c3_1 @ a505 )
<= ( c3_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl343,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1815,plain,
( ( ( c0_1 @ a505 )
| ~ ( c1_1 @ a505 ) )
<= ( ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
& ( c3_1 @ a505 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl343]) ).
thf('79',plain,
( ~ ( c1_1 @ a505 )
| ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
| ~ ( c3_1 @ a505 )
| ( c0_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl1815]) ).
thf(zip_derived_cl75,plain,
( ~ hskp30
| ( c3_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl475,plain,
( ( c3_1 @ a512 )
<= ( c3_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl233,plain,
( ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1401,plain,
( ( ~ ( c0_1 @ a512 )
| ~ ( c2_1 @ a512 ) )
<= ( ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a512 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl233]) ).
thf('80',plain,
( ~ ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ( c0_1 @ a512 )
| ~ ( c3_1 @ a512 )
| ~ ( c2_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl1401]) ).
thf(zip_derived_cl139,plain,
( ~ hskp14
| ~ ( c3_1 @ a527 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl603,plain,
( ~ ( c3_1 @ a527 )
<= ~ ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl249_039,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl862,plain,
( ( ~ ( c0_1 @ a527 )
| ~ ( c2_1 @ a527 ) )
<= ( ~ ( c3_1 @ a527 )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl603,zip_derived_cl249]) ).
thf('81',plain,
( ~ ( c0_1 @ a527 )
| ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ( c3_1 @ a527 )
| ~ ( c2_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf(zip_derived_cl611_040,plain,
( ~ ( c3_1 @ a520 )
<= ~ ( c3_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl249_041,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl868,plain,
( ( ~ ( c0_1 @ a520 )
| ~ ( c2_1 @ a520 ) )
<= ( ~ ( c3_1 @ a520 )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl249]) ).
thf('82',plain,
( ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ~ ( c0_1 @ a520 )
| ~ ( c2_1 @ a520 )
| ( c3_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl868]) ).
thf(zip_derived_cl74,plain,
( ~ hskp30
| ( c2_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl473,plain,
( ( c2_1 @ a512 )
<= ( c2_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl349_042,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1844,plain,
( ( ( c0_1 @ a512 )
| ~ ( c1_1 @ a512 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a512 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl473,zip_derived_cl349]) ).
thf('83',plain,
( ( c0_1 @ a512 )
| ~ ( c1_1 @ a512 )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ~ ( c2_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl1844]) ).
thf(zip_derived_cl537_043,plain,
( ( c3_1 @ a540 )
<= ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl34,plain,
! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 )
| ~ ndr1_0
| hskp4
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl325,plain,
( ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
<= ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1563,plain,
( ( ( c0_1 @ a540 )
| ~ ( c2_1 @ a540 ) )
<= ( ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
& ( c3_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl325]) ).
thf('84',plain,
( ~ ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
| ~ ( c2_1 @ a540 )
| ( c0_1 @ a540 )
| ~ ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1563]) ).
thf(zip_derived_cl537_044,plain,
( ( c3_1 @ a540 )
<= ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl217_045,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1540,plain,
( ( ~ ( c1_1 @ a540 )
| ~ ( c2_1 @ a540 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl217]) ).
thf(zip_derived_cl2521,plain,
( ~ ( c2_1 @ a540 )
<= ~ ( c2_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1540]) ).
thf(zip_derived_cl377_046,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl2527,plain,
( ( ( c0_1 @ a540 )
| ~ ( c1_1 @ a540 ) )
<= ( ~ ( c2_1 @ a540 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2521,zip_derived_cl377]) ).
thf('85',plain,
( ( c2_1 @ a540 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ( c0_1 @ a540 )
| ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl2527]) ).
thf(zip_derived_cl321_047,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl507_048,plain,
( ~ ( c3_1 @ a559 )
<= ~ ( c3_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1502,plain,
( ( ( c2_1 @ a559 )
| ( c1_1 @ a559 ) )
<= ( ~ ( c3_1 @ a559 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl507]) ).
thf('86',plain,
( ( c1_1 @ a559 )
| ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
| ( c3_1 @ a559 )
| ( c2_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl1502]) ).
thf(zip_derived_cl45,plain,
! [X59: $i,X60: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ndr1_0
| ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c3_1 @ X60 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('87',plain,
( hskp8
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf('88',plain,
( hskp19
| hskp18
| ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl121,plain,
( ~ hskp18
| ( c1_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('89',plain,
( ( c1_1 @ a533 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp18
| ( c2_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( ( c2_1 @ a533 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl123,plain,
( ~ hskp18
| ~ ( c0_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('91',plain,
( ~ ( c0_1 @ a533 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl569,plain,
( ( c2_1 @ a533 )
<= ( c2_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl349_049,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1841,plain,
( ( ( c0_1 @ a533 )
| ~ ( c1_1 @ a533 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a533 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl349]) ).
thf('92',plain,
( ~ ( c2_1 @ a533 )
| ( c0_1 @ a533 )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ~ ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl1841]) ).
thf(zip_derived_cl365_050,plain,
( ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
<= ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl507_051,plain,
( ~ ( c3_1 @ a559 )
<= ~ ( c3_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1906,plain,
( ( ~ ( c1_1 @ a559 )
| ( c0_1 @ a559 ) )
<= ( ~ ( c3_1 @ a559 )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl507]) ).
thf('93',plain,
( ~ ( c1_1 @ a559 )
| ~ ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
| ( c3_1 @ a559 )
| ( c0_1 @ a559 ) ),
inference(split,[status(esa)],[zip_derived_cl1906]) ).
thf(zip_derived_cl497_052,plain,
( ( c3_1 @ a568 )
<= ( c3_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl278_053,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1466,plain,
( ( ( c1_1 @ a568 )
| ~ ( c0_1 @ a568 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a568 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl278]) ).
thf('94',plain,
( ~ ( c0_1 @ a568 )
| ( c1_1 @ a568 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c3_1 @ a568 ) ),
inference(split,[status(esa)],[zip_derived_cl1466]) ).
thf(zip_derived_cl85,plain,
( ~ hskp27
| ( c0_1 @ a568 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('95',plain,
( ( c0_1 @ a568 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('96',plain,
( ( c3_1 @ a568 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp27
| ~ ( c1_1 @ a568 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ~ ( c1_1 @ a568 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf('98',plain,
( ( c1_1 @ a540 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl107,plain,
( ~ hskp22
| ~ ( c0_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( ~ ( c0_1 @ a540 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl8,plain,
! [X1: $i] :
( ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp27
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('100',plain,
( hskp19
| hskp27
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('101',plain,
( hskp22
| hskp17
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl42,plain,
! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ndr1_0
| hskp13
| hskp30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl603_054,plain,
( ~ ( c3_1 @ a527 )
<= ~ ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1862,plain,
( ( ~ ( c2_1 @ a527 )
| ( c0_1 @ a527 ) )
<= ( ~ ( c3_1 @ a527 )
& ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl603]) ).
thf('102',plain,
( ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| ( c0_1 @ a527 )
| ~ ( c2_1 @ a527 )
| ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl1862]) ).
thf(zip_derived_cl117,plain,
( ~ hskp19
| ( c1_1 @ a534 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( ( c1_1 @ a534 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl119,plain,
( ~ hskp19
| ~ ( c3_1 @ a534 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl563,plain,
( ~ ( c3_1 @ a534 )
<= ~ ( c3_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl237_055,plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl841,plain,
( ( ~ ( c0_1 @ a534 )
| ~ ( c1_1 @ a534 ) )
<= ( ~ ( c3_1 @ a534 )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl563,zip_derived_cl237]) ).
thf('104',plain,
( ~ ( c0_1 @ a534 )
| ~ ( c1_1 @ a534 )
| ~ ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ( c3_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl841]) ).
thf('105',plain,
( ~ ( c2_1 @ a534 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf('106',plain,
( ~ ( c3_1 @ a534 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl393_056,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl563_057,plain,
( ~ ( c3_1 @ a534 )
<= ~ ( c3_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl2112,plain,
( ( ( c2_1 @ a534 )
| ( c0_1 @ a534 ) )
<= ( ~ ( c3_1 @ a534 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl563]) ).
thf('107',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ( c0_1 @ a534 )
| ( c2_1 @ a534 )
| ( c3_1 @ a534 ) ),
inference(split,[status(esa)],[zip_derived_cl2112]) ).
thf(zip_derived_cl36,plain,
! [X44: $i,X45: $i] :
( ( c0_1 @ X44 )
| ~ ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 )
| ~ ndr1_0
| ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| hskp15
| ~ ndr1_0
| ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('109',plain,
( hskp17
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ndr1_0
| ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl667_058,plain,
( ~ ( c3_1 @ a501 )
<= ~ ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl249_059,plain,
( ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
<= ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl940,plain,
( ( ~ ( c0_1 @ a501 )
| ~ ( c2_1 @ a501 ) )
<= ( ~ ( c3_1 @ a501 )
& ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl249]) ).
thf('110',plain,
( ~ ( c0_1 @ a501 )
| ( c3_1 @ a501 )
| ~ ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) )
| ~ ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl940]) ).
thf(zip_derived_cl649_060,plain,
( ( c3_1 @ a505 )
<= ( c3_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl409_061,plain,
( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
<= ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1980,plain,
( ( ( c0_1 @ a505 )
| ( c1_1 @ a505 ) )
<= ( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
& ( c3_1 @ a505 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl409]) ).
thf('111',plain,
( ~ ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ( c1_1 @ a505 )
| ~ ( c3_1 @ a505 )
| ( c0_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl1980]) ).
thf(zip_derived_cl88,plain,
( ~ hskp26
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ndr1_0
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl89,plain,
( ~ hskp26
| ~ ( c0_1 @ a559 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( ~ ( c0_1 @ a559 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl90,plain,
( ~ hskp26
| ~ ( c2_1 @ a559 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ~ ( c2_1 @ a559 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('115',plain,
( ~ ( c3_1 @ a559 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1,plain,
( hskp11
| hskp17
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('116',plain,
( hskp17
| hskp11
| hskp26 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl575_062,plain,
( ( c3_1 @ a532 )
<= ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl409_063,plain,
( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
<= ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1985,plain,
( ( ( c0_1 @ a532 )
| ( c1_1 @ a532 ) )
<= ( ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
& ( c3_1 @ a532 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl409]) ).
thf('117',plain,
( ~ ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ( c0_1 @ a532 )
| ( c1_1 @ a532 )
| ~ ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl1985]) ).
thf('118',plain,
( ( c0_1 @ a510 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp11
| ~ ( c1_1 @ a510 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('119',plain,
( ~ ( c1_1 @ a510 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf('120',plain,
( ~ ( c2_1 @ a510 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl301_064,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl627_065,plain,
( ~ ( c2_1 @ a510 )
<= ~ ( c2_1 @ a510 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl1246,plain,
( ( ~ ( c0_1 @ a510 )
| ( c1_1 @ a510 ) )
<= ( ~ ( c2_1 @ a510 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl627]) ).
thf('121',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ( c1_1 @ a510 )
| ( c2_1 @ a510 )
| ~ ( c0_1 @ a510 ) ),
inference(split,[status(esa)],[zip_derived_cl1246]) ).
thf(zip_derived_cl3,plain,
( hskp13
| hskp6
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('122',plain,
( hskp14
| hskp6
| hskp13 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('123',plain,
( ~ ( c3_1 @ a527 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl24,plain,
! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ndr1_0
| hskp5
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl603_066,plain,
( ~ ( c3_1 @ a527 )
<= ~ ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1117,plain,
( ( ~ ( c0_1 @ a527 )
| ( c1_1 @ a527 ) )
<= ( ~ ( c3_1 @ a527 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl603]) ).
thf('124',plain,
( ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
| ~ ( c0_1 @ a527 )
| ( c1_1 @ a527 )
| ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl1117]) ).
thf(zip_derived_cl137,plain,
( ~ hskp14
| ( c2_1 @ a527 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( ( c2_1 @ a527 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl599,plain,
( ( c2_1 @ a527 )
<= ( c2_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl429_067,plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
<= ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2014,plain,
( ( ( c0_1 @ a527 )
| ( c1_1 @ a527 ) )
<= ( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
& ( c2_1 @ a527 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl429]) ).
thf('126',plain,
( ( c0_1 @ a527 )
| ~ ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ~ ( c2_1 @ a527 )
| ( c1_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl2014]) ).
thf(zip_derived_cl73,plain,
( ~ hskp30
| ( c1_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('127',plain,
( ( c1_1 @ a512 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('128',plain,
( ( c2_1 @ a512 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('129',plain,
( ( c3_1 @ a512 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('130',plain,
( hskp30
| ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| hskp13
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl357_068,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl667_069,plain,
( ~ ( c3_1 @ a501 )
<= ~ ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl1859,plain,
( ( ~ ( c2_1 @ a501 )
| ( c0_1 @ a501 ) )
<= ( ~ ( c3_1 @ a501 )
& ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl667]) ).
thf('131',plain,
( ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| ( c0_1 @ a501 )
| ~ ( c2_1 @ a501 )
| ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl1859]) ).
thf(zip_derived_cl5,plain,
( hskp28
| hskp13
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( hskp28
| hskp10
| hskp13 ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('133',plain,
( ( c2_1 @ a520 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl609_070,plain,
( ( c2_1 @ a520 )
<= ( c2_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl229_071,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1664,plain,
( ( ~ ( c0_1 @ a520 )
| ~ ( c1_1 @ a520 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a520 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl229]) ).
thf('134',plain,
( ~ ( c1_1 @ a520 )
| ~ ( c2_1 @ a520 )
| ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c0_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl1664]) ).
thf(zip_derived_cl50,plain,
! [X68: $i,X69: $i,X70: $i] :
( ( c0_1 @ X68 )
| ( c2_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ndr1_0
| ( c0_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 )
| ~ ndr1_0
| ( c2_1 @ X70 )
| ~ ( c1_1 @ X70 )
| ~ ( c3_1 @ X70 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('135',plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ndr1_0
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf('136',plain,
( hskp17
| hskp4
| ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl126,plain,
( ~ hskp17
| ~ ( c1_1 @ a532 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ~ ( c1_1 @ a532 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl301_072,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl127,plain,
( ~ hskp17
| ~ ( c2_1 @ a532 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl579,plain,
( ~ ( c2_1 @ a532 )
<= ~ ( c2_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1251,plain,
( ( ~ ( c0_1 @ a532 )
| ( c1_1 @ a532 ) )
<= ( ~ ( c2_1 @ a532 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl579]) ).
thf('138',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ( c0_1 @ a532 )
| ( c1_1 @ a532 )
| ( c2_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl1251]) ).
thf('139',plain,
( ( c3_1 @ a532 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('140',plain,
( ~ ( c2_1 @ a532 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl575_073,plain,
( ( c3_1 @ a532 )
<= ( c3_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl46,plain,
! [X61: $i,X62: $i,X63: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 )
| ~ ndr1_0
| ( c0_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ndr1_0
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl375,plain,
( ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
<= ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1947,plain,
( ( ( c0_1 @ a532 )
| ( c2_1 @ a532 ) )
<= ( ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
& ( c3_1 @ a532 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl375]) ).
thf('141',plain,
( ~ ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ( c0_1 @ a532 )
| ~ ( c3_1 @ a532 )
| ( c2_1 @ a532 ) ),
inference(split,[status(esa)],[zip_derived_cl1947]) ).
thf(zip_derived_cl365_074,plain,
( ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
<= ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl667_075,plain,
( ~ ( c3_1 @ a501 )
<= ~ ( c3_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl1897,plain,
( ( ~ ( c1_1 @ a501 )
| ( c0_1 @ a501 ) )
<= ( ~ ( c3_1 @ a501 )
& ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl667]) ).
thf('142',plain,
( ~ ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) )
| ( c0_1 @ a501 )
| ( c3_1 @ a501 )
| ~ ( c1_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl1897]) ).
thf(zip_derived_cl633_076,plain,
( ( c3_1 @ a509 )
<= ( c3_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl245_077,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1700,plain,
( ( ( c2_1 @ a509 )
| ~ ( c1_1 @ a509 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a509 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl245]) ).
thf('143',plain,
( ~ ( c1_1 @ a509 )
| ( c2_1 @ a509 )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c3_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl1700]) ).
thf(zip_derived_cl129,plain,
( ~ hskp16
| ( c2_1 @ a530 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl583,plain,
( ( c2_1 @ a530 )
<= ( c2_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl429_078,plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
<= ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2015,plain,
( ( ( c0_1 @ a530 )
| ( c1_1 @ a530 ) )
<= ( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
& ( c2_1 @ a530 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl429]) ).
thf('144',plain,
( ( c0_1 @ a530 )
| ~ ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ~ ( c2_1 @ a530 )
| ( c1_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl2015]) ).
thf(zip_derived_cl585_079,plain,
( ( c3_1 @ a530 )
<= ( c3_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl278_080,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1629,plain,
( ( ( c1_1 @ a530 )
| ~ ( c0_1 @ a530 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a530 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl278]) ).
thf('145',plain,
( ( c1_1 @ a530 )
| ~ ( c0_1 @ a530 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c3_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl1629]) ).
thf('146',plain,
( ( c2_1 @ a530 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf('147',plain,
( ( c3_1 @ a530 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl131,plain,
( ~ hskp16
| ~ ( c1_1 @ a530 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('148',plain,
( ~ hskp16
| ~ ( c1_1 @ a530 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl35,plain,
! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 )
| ~ ndr1_0
| hskp28
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('149',plain,
( hskp28
| hskp16
| ~ ndr1_0
| ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl57,plain,
! [X82: $i,X83: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 )
| ~ ndr1_0
| ( c1_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c3_1 @ X83 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( hskp28
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ndr1_0
| ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl475_081,plain,
( ( c3_1 @ a512 )
<= ( c3_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl217_082,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1400,plain,
( ( ~ ( c1_1 @ a512 )
| ~ ( c2_1 @ a512 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a512 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl217]) ).
thf('151',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a512 )
| ~ ( c3_1 @ a512 )
| ~ ( c1_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl1400]) ).
thf(zip_derived_cl0,plain,
( hskp4
| hskp8
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('152',plain,
( hskp8
| hskp2
| hskp4 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('153',plain,
( hskp28
| ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ~ ndr1_0
| hskp6 ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl170,plain,
( ~ hskp6
| ( c2_1 @ a501 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl665,plain,
( ( c2_1 @ a501 )
<= ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl229_083,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1746,plain,
( ( ~ ( c0_1 @ a501 )
| ~ ( c1_1 @ a501 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a501 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl229]) ).
thf('154',plain,
( ~ ( c0_1 @ a501 )
| ~ ( c1_1 @ a501 )
| ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl1746]) ).
thf(zip_derived_cl393_084,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl659_085,plain,
( ~ ( c3_1 @ a502 )
<= ~ ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl2108,plain,
( ( ( c2_1 @ a502 )
| ( c0_1 @ a502 ) )
<= ( ~ ( c3_1 @ a502 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl659]) ).
thf('155',plain,
( ( c2_1 @ a502 )
| ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ( c0_1 @ a502 )
| ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl2108]) ).
thf(zip_derived_cl165,plain,
( ~ hskp7
| ~ ( c0_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('156',plain,
( ~ ( c0_1 @ a502 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf('157',plain,
( ~ ( c3_1 @ a502 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl58,plain,
! [X84: $i,X85: $i] :
( ( c0_1 @ X84 )
| ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 )
| ~ ndr1_0
| ( c1_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('158',plain,
( hskp7
| ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
| ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl173,plain,
( ~ hskp5
| ( c0_1 @ a499 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('159',plain,
( ( c0_1 @ a499 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf('160',plain,
( ( c2_1 @ a499 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl175,plain,
( ~ hskp5
| ~ ( c1_1 @ a499 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('161',plain,
( ~ ( c1_1 @ a499 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl673_086,plain,
( ( c2_1 @ a499 )
<= ( c2_1 @ a499 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl313_087,plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
<= ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1759,plain,
( ( ( c1_1 @ a499 )
| ~ ( c0_1 @ a499 ) )
<= ( ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
& ( c2_1 @ a499 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl673,zip_derived_cl313]) ).
thf('162',plain,
( ~ ! [X38: $i] :
( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 ) )
| ~ ( c0_1 @ a499 )
| ( c1_1 @ a499 )
| ~ ( c2_1 @ a499 ) ),
inference(split,[status(esa)],[zip_derived_cl1759]) ).
thf(zip_derived_cl61,plain,
! [X90: $i,X91: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ndr1_0
| ~ ( c0_1 @ X91 )
| ~ ( c1_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ndr1_0
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( hskp5
| ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ~ ndr1_0
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl161,plain,
( ~ hskp8
| ( c2_1 @ a505 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl647,plain,
( ( c2_1 @ a505 )
<= ( c2_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl429_088,plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
<= ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl2012,plain,
( ( ( c0_1 @ a505 )
| ( c1_1 @ a505 ) )
<= ( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
& ( c2_1 @ a505 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl647,zip_derived_cl429]) ).
thf('164',plain,
( ~ ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) )
| ( c1_1 @ a505 )
| ( c0_1 @ a505 )
| ~ ( c2_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl2012]) ).
thf(zip_derived_cl647_089,plain,
( ( c2_1 @ a505 )
<= ( c2_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl349_090,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1837,plain,
( ( ( c0_1 @ a505 )
| ~ ( c1_1 @ a505 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a505 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl647,zip_derived_cl349]) ).
thf('165',plain,
( ~ ( c1_1 @ a505 )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ( c0_1 @ a505 )
| ~ ( c2_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl1837]) ).
thf(zip_derived_cl43,plain,
! [X56: $i,X57: $i] :
( ( c0_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ndr1_0
| ~ ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( hskp28
| ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| ~ ndr1_0
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf('167',plain,
( hskp8
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| hskp12
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl357_091,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl659_092,plain,
( ~ ( c3_1 @ a502 )
<= ~ ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl1860,plain,
( ( ~ ( c2_1 @ a502 )
| ( c0_1 @ a502 ) )
<= ( ~ ( c3_1 @ a502 )
& ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl659]) ).
thf('168',plain,
( ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| ~ ( c2_1 @ a502 )
| ( c0_1 @ a502 )
| ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl1860]) ).
thf(zip_derived_cl81,plain,
( ~ hskp28
| ( c0_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('169',plain,
( ( c0_1 @ a500 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ~ hskp28
| ( c2_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('170',plain,
( ( c2_1 @ a500 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp28
| ( c3_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('171',plain,
( ( c3_1 @ a500 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl491,plain,
( ( c3_1 @ a500 )
<= ( c3_1 @ a500 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl233_093,plain,
( ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1455,plain,
( ( ~ ( c0_1 @ a500 )
| ~ ( c2_1 @ a500 ) )
<= ( ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a500 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl491,zip_derived_cl233]) ).
thf('172',plain,
( ~ ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ( c0_1 @ a500 )
| ~ ( c2_1 @ a500 )
| ~ ( c3_1 @ a500 ) ),
inference(split,[status(esa)],[zip_derived_cl1455]) ).
thf(zip_derived_cl13,plain,
! [X7: $i,X8: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ndr1_0
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('173',plain,
( hskp2
| ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl611_094,plain,
( ~ ( c3_1 @ a520 )
<= ~ ( c3_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl237_095,plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl867,plain,
( ( ~ ( c0_1 @ a520 )
| ~ ( c1_1 @ a520 ) )
<= ( ~ ( c3_1 @ a520 )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl237]) ).
thf('174',plain,
( ~ ( c1_1 @ a520 )
| ( c3_1 @ a520 )
| ~ ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ~ ( c0_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl867]) ).
thf(zip_derived_cl141,plain,
( ~ hskp13
| ( c0_1 @ a520 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('175',plain,
( ( c0_1 @ a520 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf('176',plain,
( ~ ( c3_1 @ a520 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl285_096,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl611_097,plain,
( ~ ( c3_1 @ a520 )
<= ~ ( c3_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl1116,plain,
( ( ~ ( c0_1 @ a520 )
| ( c1_1 @ a520 ) )
<= ( ~ ( c3_1 @ a520 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl611]) ).
thf('177',plain,
( ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
| ( c1_1 @ a520 )
| ( c3_1 @ a520 )
| ~ ( c0_1 @ a520 ) ),
inference(split,[status(esa)],[zip_derived_cl1116]) ).
thf(zip_derived_cl6,plain,
( hskp15
| hskp13
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('178',plain,
( hskp13
| hskp15
| hskp12 ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl146,plain,
( ~ hskp12
| ( c3_1 @ a514 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl617,plain,
( ( c3_1 @ a514 )
<= ( c3_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl253_098,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1685,plain,
( ( ( c2_1 @ a514 )
| ~ ( c0_1 @ a514 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c3_1 @ a514 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl253]) ).
thf('179',plain,
( ~ ( c0_1 @ a514 )
| ( c2_1 @ a514 )
| ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ( c3_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl1685]) ).
thf(zip_derived_cl261_099,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl147,plain,
( ~ hskp12
| ~ ( c2_1 @ a514 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl619,plain,
( ~ ( c2_1 @ a514 )
<= ~ ( c2_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl899,plain,
( ( ~ ( c1_1 @ a514 )
| ~ ( c0_1 @ a514 ) )
<= ( ~ ( c2_1 @ a514 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl619]) ).
thf('180',plain,
( ~ ( c0_1 @ a514 )
| ( c2_1 @ a514 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c1_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl899]) ).
thf(zip_derived_cl377_100,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl619_101,plain,
( ~ ( c2_1 @ a514 )
<= ~ ( c2_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl2041,plain,
( ( ~ ( c1_1 @ a514 )
| ( c0_1 @ a514 ) )
<= ( ~ ( c2_1 @ a514 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl619]) ).
thf('181',plain,
( ( c0_1 @ a514 )
| ( c2_1 @ a514 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ~ ( c1_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl2041]) ).
thf(zip_derived_cl59,plain,
! [X86: $i,X87: $i,X88: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 )
| ~ ndr1_0
| ( c0_1 @ X87 )
| ( c2_1 @ X87 )
| ~ ( c1_1 @ X87 )
| ~ ndr1_0
| ( c2_1 @ X88 )
| ~ ( c1_1 @ X88 )
| ~ ( c3_1 @ X88 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('182',plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ! [X80: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl617_102,plain,
( ( c3_1 @ a514 )
<= ( c3_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl245_103,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1684,plain,
( ( ( c2_1 @ a514 )
| ~ ( c1_1 @ a514 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a514 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl245]) ).
thf('183',plain,
( ~ ( c3_1 @ a514 )
| ( c2_1 @ a514 )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a514 ) ),
inference(split,[status(esa)],[zip_derived_cl1684]) ).
thf(zip_derived_cl145,plain,
( ~ hskp12
| ( c1_1 @ a514 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('184',plain,
( ( c1_1 @ a514 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('185',plain,
( ( c3_1 @ a514 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf('186',plain,
( ~ ( c2_1 @ a514 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl20,plain,
! [X18: $i,X19: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ndr1_0
| ( c2_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c3_1 @ X19 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('187',plain,
( hskp2
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl185,plain,
( ~ hskp2
| ~ ( c1_1 @ a496 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('188',plain,
( ~ ( c1_1 @ a496 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf(zip_derived_cl285_104,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl699_105,plain,
( ~ ( c3_1 @ a496 )
<= ~ ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl1113,plain,
( ( ~ ( c0_1 @ a496 )
| ( c1_1 @ a496 ) )
<= ( ~ ( c3_1 @ a496 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl699]) ).
thf('189',plain,
( ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
| ~ ( c0_1 @ a496 )
| ( c3_1 @ a496 )
| ( c1_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl1113]) ).
thf('190',plain,
( ~ ( c2_1 @ a496 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf('191',plain,
( ~ ( c3_1 @ a496 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl393_106,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl699_107,plain,
( ~ ( c3_1 @ a496 )
<= ~ ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl2106,plain,
( ( ( c2_1 @ a496 )
| ( c0_1 @ a496 ) )
<= ( ~ ( c3_1 @ a496 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl699]) ).
thf('192',plain,
( ( c0_1 @ a496 )
| ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ( c2_1 @ a496 )
| ( c3_1 @ a496 ) ),
inference(split,[status(esa)],[zip_derived_cl2106]) ).
thf('193',plain,
( ~ ( c0_1 @ a501 )
| ( c3_1 @ a501 )
| ~ ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ~ ( c1_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl939]) ).
thf('194',plain,
( ( c1_1 @ a501 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf('195',plain,
( ( c2_1 @ a501 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('196',plain,
( ~ ( c3_1 @ a501 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl53,plain,
! [X74: $i,X75: $i,X76: $i] :
( ( c0_1 @ X74 )
| ( c2_1 @ X74 )
| ( c3_1 @ X74 )
| ~ ndr1_0
| ( c2_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ndr1_0
| ( c3_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('197',plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ~ ndr1_0
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl52,plain,
! [X72: $i,X73: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ( c3_1 @ X72 )
| ~ ndr1_0
| ( c2_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('198',plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| hskp6
| ~ ndr1_0
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf('199',plain,
( hskp11
| hskp10
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl665_108,plain,
( ( c2_1 @ a501 )
<= ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl349_109,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1836,plain,
( ( ( c0_1 @ a501 )
| ~ ( c1_1 @ a501 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a501 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl665,zip_derived_cl349]) ).
thf('200',plain,
( ( c0_1 @ a501 )
| ~ ( c1_1 @ a501 )
| ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ~ ( c2_1 @ a501 ) ),
inference(split,[status(esa)],[zip_derived_cl1836]) ).
thf(zip_derived_cl261_110,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl155,plain,
( ~ hskp10
| ~ ( c2_1 @ a509 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl635,plain,
( ~ ( c2_1 @ a509 )
<= ~ ( c2_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl897,plain,
( ( ~ ( c1_1 @ a509 )
| ~ ( c0_1 @ a509 ) )
<= ( ~ ( c2_1 @ a509 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl635]) ).
thf('201',plain,
( ~ ( c1_1 @ a509 )
| ( c2_1 @ a509 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c0_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl897]) ).
thf(zip_derived_cl301_111,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl635_112,plain,
( ~ ( c2_1 @ a509 )
<= ~ ( c2_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1245,plain,
( ( ~ ( c0_1 @ a509 )
| ( c1_1 @ a509 ) )
<= ( ~ ( c2_1 @ a509 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl635]) ).
thf('202',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ( c1_1 @ a509 )
| ( c2_1 @ a509 )
| ~ ( c0_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl1245]) ).
thf(zip_derived_cl109,plain,
( ~ hskp21
| ( c0_1 @ a538 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('203',plain,
( ( c0_1 @ a538 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl110,plain,
( ~ hskp21
| ~ ( c1_1 @ a538 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('204',plain,
( ~ ( c1_1 @ a538 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp21
| ~ ( c3_1 @ a538 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('205',plain,
( ~ ( c3_1 @ a538 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl285_113,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl547,plain,
( ~ ( c3_1 @ a538 )
<= ~ ( c3_1 @ a538 ) ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl1120,plain,
( ( ~ ( c0_1 @ a538 )
| ( c1_1 @ a538 ) )
<= ( ~ ( c3_1 @ a538 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl547]) ).
thf('206',plain,
( ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) )
| ( c1_1 @ a538 )
| ~ ( c0_1 @ a538 )
| ( c3_1 @ a538 ) ),
inference(split,[status(esa)],[zip_derived_cl1120]) ).
thf(zip_derived_cl978,plain,
( ~ ( c2_1 @ a528 )
<= ~ ( c2_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl261_114,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl980,plain,
( ( ~ ( c0_1 @ a528 )
| ~ ( c1_1 @ a528 ) )
<= ( ~ ( c2_1 @ a528 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl978,zip_derived_cl261]) ).
thf('207',plain,
( ( c2_1 @ a528 )
| ~ ( c1_1 @ a528 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c0_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl980]) ).
thf('208',plain,
( hskp3
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl177,plain,
( ~ hskp4
| ( c1_1 @ a498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('209',plain,
( ( c1_1 @ a498 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl178,plain,
( ~ hskp4
| ~ ( c0_1 @ a498 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('210',plain,
( ~ ( c0_1 @ a498 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf('211',plain,
( ~ ( c2_1 @ a498 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl377_115,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl683_116,plain,
( ~ ( c2_1 @ a498 )
<= ~ ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl2036,plain,
( ( ~ ( c1_1 @ a498 )
| ( c0_1 @ a498 ) )
<= ( ~ ( c2_1 @ a498 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl683]) ).
thf('212',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| ~ ( c1_1 @ a498 )
| ( c0_1 @ a498 )
| ( c2_1 @ a498 ) ),
inference(split,[status(esa)],[zip_derived_cl2036]) ).
thf('213',plain,
( hskp8
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 ) )
| hskp12
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf('214',plain,
( ( c2_1 @ a505 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf('215',plain,
( ( c3_1 @ a505 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl163,plain,
( ~ hskp8
| ~ ( c0_1 @ a505 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('216',plain,
( ~ ( c0_1 @ a505 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl649_117,plain,
( ( c3_1 @ a505 )
<= ( c3_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl325_118,plain,
( ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
<= ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1731,plain,
( ( ( c0_1 @ a505 )
| ~ ( c2_1 @ a505 ) )
<= ( ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
& ( c3_1 @ a505 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl325]) ).
thf('217',plain,
( ~ ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
| ~ ( c3_1 @ a505 )
| ( c0_1 @ a505 )
| ~ ( c2_1 @ a505 ) ),
inference(split,[status(esa)],[zip_derived_cl1731]) ).
thf(zip_derived_cl37,plain,
! [X46: $i,X47: $i] :
( ( c0_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ( c3_1 @ X46 )
| ~ ndr1_0
| ( c1_1 @ X47 )
| ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ndr1_0
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('218',plain,
( hskp14
| ! [X42: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl138,plain,
( ~ hskp14
| ~ ( c1_1 @ a527 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('219',plain,
( ~ ( c1_1 @ a527 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl23,plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 )
| ~ ndr1_0
| hskp12
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl281,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl603_119,plain,
( ~ ( c3_1 @ a527 )
<= ~ ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1073,plain,
( ( ~ ( c2_1 @ a527 )
| ( c1_1 @ a527 ) )
<= ( ~ ( c3_1 @ a527 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl603]) ).
thf('220',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ( c1_1 @ a527 )
| ~ ( c2_1 @ a527 )
| ( c3_1 @ a527 ) ),
inference(split,[status(esa)],[zip_derived_cl1073]) ).
thf('221',plain,
( hskp20
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| hskp12
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl113,plain,
( ~ hskp20
| ~ ( c0_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('222',plain,
( ~ ( c0_1 @ a536 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl67,plain,
! [X103: $i,X104: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 )
| ~ ndr1_0
| ( c1_1 @ X104 )
| ( c3_1 @ X104 )
| ~ ( c2_1 @ X104 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
( ! [X103: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 ) )
<= ! [X103: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl555,plain,
( ~ ( c2_1 @ a536 )
<= ~ ( c2_1 @ a536 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl2202,plain,
( ( ( c1_1 @ a536 )
| ( c0_1 @ a536 ) )
<= ( ~ ( c2_1 @ a536 )
& ! [X103: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl555]) ).
thf('223',plain,
( ~ ! [X103: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 ) )
| ( c0_1 @ a536 )
| ( c1_1 @ a536 )
| ( c2_1 @ a536 ) ),
inference(split,[status(esa)],[zip_derived_cl2202]) ).
thf('224',plain,
( hskp0
| ! [X103: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 ) )
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl194,plain,
( ~ hskp0
| ~ ( c0_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('225',plain,
( ~ ( c0_1 @ a494 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl711,plain,
( ( c3_1 @ a494 )
<= ( c3_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl375_120,plain,
( ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
<= ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1941,plain,
( ( ( c0_1 @ a494 )
| ( c2_1 @ a494 ) )
<= ( ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
& ( c3_1 @ a494 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl375]) ).
thf('226',plain,
( ~ ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ( c0_1 @ a494 )
| ~ ( c3_1 @ a494 )
| ( c2_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1941]) ).
thf('227',plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ! [X61: $i] :
( ( c0_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ~ ndr1_0
| ! [X58: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl133,plain,
( ~ hskp15
| ( c0_1 @ a528 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('228',plain,
( ( c0_1 @ a528 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl134,plain,
( ~ hskp15
| ( c1_1 @ a528 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('229',plain,
( ( c1_1 @ a528 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf('230',plain,
( ~ ( c3_1 @ a528 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl595_121,plain,
( ~ ( c3_1 @ a528 )
<= ~ ( c3_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl237_122,plain,
( ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl855,plain,
( ( ~ ( c0_1 @ a528 )
| ~ ( c1_1 @ a528 ) )
<= ( ~ ( c3_1 @ a528 )
& ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl595,zip_derived_cl237]) ).
thf('231',plain,
( ~ ( c1_1 @ a528 )
| ( c3_1 @ a528 )
| ~ ! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ~ ( c0_1 @ a528 ) ),
inference(split,[status(esa)],[zip_derived_cl855]) ).
thf(zip_derived_cl537_123,plain,
( ( c3_1 @ a540 )
<= ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl343_124,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1821,plain,
( ( ( c0_1 @ a540 )
| ~ ( c1_1 @ a540 ) )
<= ( ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
& ( c3_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl343]) ).
thf('232',plain,
( ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) )
| ~ ( c1_1 @ a540 )
| ~ ( c3_1 @ a540 )
| ( c0_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1821]) ).
thf(zip_derived_cl153,plain,
( ~ hskp10
| ( c0_1 @ a509 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('233',plain,
( ( c0_1 @ a509 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('234',plain,
( ( c3_1 @ a509 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('235',plain,
( ~ ( c2_1 @ a509 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl633_125,plain,
( ( c3_1 @ a509 )
<= ( c3_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl253_126,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1701,plain,
( ( ( c2_1 @ a509 )
| ~ ( c0_1 @ a509 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c3_1 @ a509 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl633,zip_derived_cl253]) ).
thf('236',plain,
( ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ( c3_1 @ a509 )
| ( c2_1 @ a509 )
| ~ ( c0_1 @ a509 ) ),
inference(split,[status(esa)],[zip_derived_cl1701]) ).
thf(zip_derived_cl17,plain,
! [X13: $i,X14: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ndr1_0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('237',plain,
( hskp24
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ndr1_0
| ! [X11: $i] :
( ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl97,plain,
( ~ hskp24
| ( c0_1 @ a554 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('238',plain,
( ( c0_1 @ a554 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp24
| ~ ( c2_1 @ a554 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('239',plain,
( ~ ( c2_1 @ a554 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp24
| ~ ( c3_1 @ a554 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('240',plain,
( ~ ( c3_1 @ a554 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl297_127,plain,
( ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
<= ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl523,plain,
( ~ ( c3_1 @ a554 )
<= ~ ( c3_1 @ a554 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1197,plain,
( ( ~ ( c0_1 @ a554 )
| ( c2_1 @ a554 ) )
<= ( ~ ( c3_1 @ a554 )
& ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl523]) ).
thf('241',plain,
( ~ ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
| ( c2_1 @ a554 )
| ( c3_1 @ a554 )
| ~ ( c0_1 @ a554 ) ),
inference(split,[status(esa)],[zip_derived_cl1197]) ).
thf('242',plain,
( hskp22
| ! [X30: $i] :
( ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c0_1 @ X30 ) )
| ~ ndr1_0
| ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('243',plain,
( ( c3_1 @ a540 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf('244',plain,
( ( c2_1 @ a540 )
| ~ ( c3_1 @ a540 )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1542]) ).
thf(zip_derived_cl5241_128,plain,
( ( c2_1 @ a540 )
<= ( c2_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1542]) ).
thf(zip_derived_cl349_129,plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
<= ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl5265,plain,
( ( ( c0_1 @ a540 )
| ~ ( c1_1 @ a540 ) )
<= ( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
& ( c2_1 @ a540 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl349]) ).
thf('245',plain,
( ~ ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ~ ( c2_1 @ a540 )
| ~ ( c1_1 @ a540 )
| ( c0_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl5265]) ).
thf(zip_derived_cl54,plain,
! [X77: $i,X78: $i,X79: $i] :
( ( c0_1 @ X77 )
| ( c2_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ndr1_0
| ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ndr1_0
| ~ ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('246',plain,
( ! [X53: $i] :
( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 ) )
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl19366,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYN470+1 : TPTP v9.2.0. Released v2.1.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.umFpuQ2tyx true
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 13:33:08 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.68 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.69 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 26.76/4.37 % Solved by fo/fo1_av.sh.
% 26.76/4.37 % done 5049 iterations in 3.576s
% 26.76/4.37 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.76/4.37 % SZS output start Refutation
% See solution above
% 26.76/4.38
% 26.76/4.38
% 26.76/4.38 % Terminating...
% 27.43/4.51 % Runner terminated.
% 27.43/4.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------