TSTP Solution File: SYN448+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN448+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9VGxLHoU5D true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:03:34 EDT 2023
% Result : Theorem 27.95s 4.61s
% Output : Refutation 27.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 64
% Syntax : Number of formulae : 719 ( 1 unt; 63 typ; 0 def)
% Number of atoms : 4286 ( 0 equ; 0 cnn)
% Maximal formula atoms : 603 ( 6 avg)
% Number of connectives : 9146 (2121 ~;2663 |; 476 &;3395 @)
% ( 0 <=>; 186 =>; 305 <=; 0 <~>)
% Maximal formula depth : 92 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 63 usr; 60 con; 0-1 aty)
% Number of variables : 779 ( 0 ^; 779 !; 0 ?; 779 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a466_type,type,
a466: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a478_type,type,
a478: $i ).
thf(a533_type,type,
a533: $i ).
thf(a490_type,type,
a490: $i ).
thf(a493_type,type,
a493: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a460_type,type,
a460: $i ).
thf(a471_type,type,
a471: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a463_type,type,
a463: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a467_type,type,
a467: $i ).
thf(a502_type,type,
a502: $i ).
thf(a524_type,type,
a524: $i ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a477_type,type,
a477: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a476_type,type,
a476: $i ).
thf(a480_type,type,
a480: $i ).
thf(a500_type,type,
a500: $i ).
thf(a512_type,type,
a512: $i ).
thf(a470_type,type,
a470: $i ).
thf(a494_type,type,
a494: $i ).
thf(a492_type,type,
a492: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a503_type,type,
a503: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a474_type,type,
a474: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a461_type,type,
a461: $i ).
thf(a475_type,type,
a475: $i ).
thf(a483_type,type,
a483: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a488_type,type,
a488: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a468_type,type,
a468: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a540_type,type,
a540: $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(a465_type,type,
a465: $i ).
thf(a473_type,type,
a473: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c3_1_type,type,
c3_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
& ( c0_1 @ a460 )
& ~ ( c2_1 @ a460 )
& ~ ( c3_1 @ a460 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a463 )
& ~ ( c0_1 @ a463 )
& ~ ( c1_1 @ a463 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c0_1 @ a465 )
& ~ ( c2_1 @ a465 )
& ~ ( c3_1 @ a465 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a466 )
& ( c3_1 @ a466 )
& ~ ( c0_1 @ a466 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a467 )
& ~ ( c0_1 @ a467 )
& ~ ( c1_1 @ a467 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a468 )
& ( c3_1 @ a468 )
& ~ ( c2_1 @ a468 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c2_1 @ a471 )
& ~ ( c1_1 @ a471 )
& ~ ( c3_1 @ a471 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c3_1 @ a474 )
& ~ ( c1_1 @ a474 )
& ~ ( c2_1 @ a474 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a475 )
& ( c1_1 @ a475 )
& ~ ( c3_1 @ a475 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a476 )
& ( c2_1 @ a476 )
& ~ ( c1_1 @ a476 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a477 )
& ( c2_1 @ a477 )
& ~ ( c3_1 @ a477 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a478 )
& ~ ( c0_1 @ a478 )
& ~ ( c3_1 @ a478 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a480 )
& ~ ( c1_1 @ a480 )
& ~ ( c2_1 @ a480 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a483 )
& ( c2_1 @ a483 )
& ~ ( c3_1 @ a483 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c1_1 @ a488 )
& ~ ( c2_1 @ a488 )
& ~ ( c3_1 @ a488 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a492 )
& ( c3_1 @ a492 )
& ~ ( c2_1 @ a492 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a493 )
& ~ ( c0_1 @ a493 )
& ~ ( c2_1 @ a493 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a494 )
& ~ ( c1_1 @ a494 )
& ~ ( c3_1 @ a494 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a500 )
& ( c2_1 @ a500 )
& ~ ( c0_1 @ a500 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c2_1 @ a502 )
& ( c3_1 @ a502 )
& ~ ( c0_1 @ a502 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a503 )
& ( c3_1 @ a503 )
& ~ ( c1_1 @ a503 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a512 )
& ( c3_1 @ a512 )
& ~ ( c1_1 @ a512 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a524 )
& ( c1_1 @ a524 )
& ~ ( c2_1 @ a524 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a533 )
& ~ ( c1_1 @ a533 )
& ~ ( c3_1 @ a533 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a461 )
& ( c2_1 @ a461 )
& ( c3_1 @ a461 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a470 )
& ( c2_1 @ a470 )
& ( c3_1 @ a470 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a473 )
& ( c1_1 @ a473 )
& ( c3_1 @ a473 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a490 )
& ( c1_1 @ a490 )
& ( c2_1 @ a490 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ~ ( c1_1 @ X )
| ~ ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c2_1 @ Y )
| ( c3_1 @ Y )
| ~ ( c0_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| hskp25 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c2_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| hskp0
| hskp1 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c3_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c2_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| hskp0 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp2 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp3 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ( c2_1 @ X13 )
| ( c3_1 @ X13 ) ) )
| ! [X14: $i] :
( ndr1_0
=> ( ( c3_1 @ X14 )
| ~ ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 ) ) ) )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c1_1 @ X15 )
| ( c3_1 @ X15 ) ) )
| ! [X16: $i] :
( ndr1_0
=> ( ( c2_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| hskp4 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ( c2_1 @ X18 ) ) )
| hskp5 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ( c3_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp4 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c1_1 @ X21 )
| ~ ( c2_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| hskp26 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c1_1 @ X23 )
| ~ ( c2_1 @ X23 ) ) )
| hskp6
| hskp2 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c1_1 @ X25 )
| ( c2_1 @ X25 )
| ( c3_1 @ X25 ) ) )
| hskp27 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) )
| hskp7 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ~ ( c1_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) )
| ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) ) )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) )
| hskp8 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| hskp9 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| hskp10 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp11 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp0
| hskp12 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) )
| hskp9 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 ) ) )
| hskp9 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ( c3_1 @ X45 )
| ~ ( c0_1 @ X45 ) ) )
| hskp13 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp27
| hskp10 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| hskp8 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| hskp7 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| hskp14 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c3_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c2_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 ) ) )
| hskp10 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ( c3_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp28 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ( c3_1 @ X63 ) ) )
| hskp3
| hskp15 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c0_1 @ X64 ) ) )
| hskp16
| hskp17 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| hskp7
| hskp12 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c0_1 @ X67 ) ) )
| hskp12 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| hskp27
| hskp16 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| hskp18
| hskp2 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) )
| hskp19
| hskp20 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp12
| hskp14 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c2_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) )
| hskp9 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ~ ( c0_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp17 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp3
| hskp12 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ( c0_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 ) ) )
| hskp1 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ( c0_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp3 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp21 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| hskp11
| hskp7 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 ) ) )
| hskp18
| hskp20 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp15
| hskp2 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c2_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) )
| hskp15
| hskp12 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp26
| hskp10 )
& ( hskp27
| hskp22
| hskp17 )
& ( hskp8
| hskp15
| hskp16 )
& ( hskp25
| hskp5
| hskp14 )
& ( hskp9
| hskp23
| hskp20 )
& ( hskp21
| hskp10
| hskp6 )
& ( hskp5
| hskp11 )
& ( hskp24
| hskp15
| hskp16 )
& ( hskp20
| hskp6
| hskp12 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a460 )
& ~ ( c2_1 @ a460 )
& ~ ( c3_1 @ a460 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a463 )
& ~ ( c0_1 @ a463 )
& ~ ( c1_1 @ a463 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c0_1 @ a465 )
& ~ ( c2_1 @ a465 )
& ~ ( c3_1 @ a465 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a466 )
& ( c3_1 @ a466 )
& ~ ( c0_1 @ a466 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a467 )
& ~ ( c0_1 @ a467 )
& ~ ( c1_1 @ a467 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a468 )
& ( c3_1 @ a468 )
& ~ ( c2_1 @ a468 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c2_1 @ a471 )
& ~ ( c1_1 @ a471 )
& ~ ( c3_1 @ a471 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c3_1 @ a474 )
& ~ ( c1_1 @ a474 )
& ~ ( c2_1 @ a474 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a475 )
& ( c1_1 @ a475 )
& ~ ( c3_1 @ a475 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a476 )
& ( c2_1 @ a476 )
& ~ ( c1_1 @ a476 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a477 )
& ( c2_1 @ a477 )
& ~ ( c3_1 @ a477 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a478 )
& ~ ( c0_1 @ a478 )
& ~ ( c3_1 @ a478 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a480 )
& ~ ( c1_1 @ a480 )
& ~ ( c2_1 @ a480 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a483 )
& ( c2_1 @ a483 )
& ~ ( c3_1 @ a483 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c1_1 @ a488 )
& ~ ( c2_1 @ a488 )
& ~ ( c3_1 @ a488 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a492 )
& ( c3_1 @ a492 )
& ~ ( c2_1 @ a492 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a493 )
& ~ ( c0_1 @ a493 )
& ~ ( c2_1 @ a493 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a494 )
& ~ ( c1_1 @ a494 )
& ~ ( c3_1 @ a494 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a500 )
& ( c2_1 @ a500 )
& ~ ( c0_1 @ a500 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c2_1 @ a502 )
& ( c3_1 @ a502 )
& ~ ( c0_1 @ a502 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a503 )
& ( c3_1 @ a503 )
& ~ ( c1_1 @ a503 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a512 )
& ( c3_1 @ a512 )
& ~ ( c1_1 @ a512 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a524 )
& ( c1_1 @ a524 )
& ~ ( c2_1 @ a524 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a533 )
& ~ ( c1_1 @ a533 )
& ~ ( c3_1 @ a533 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a461 )
& ( c2_1 @ a461 )
& ( c3_1 @ a461 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a470 )
& ( c2_1 @ a470 )
& ( c3_1 @ a470 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a473 )
& ( c1_1 @ a473 )
& ( c3_1 @ a473 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a490 )
& ( c1_1 @ a490 )
& ( c2_1 @ a490 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ~ ( c1_1 @ X )
| ~ ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c2_1 @ Y )
| ( c3_1 @ Y )
| ~ ( c0_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| hskp25 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c2_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) ) )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| hskp0
| hskp1 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c3_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c2_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| hskp0 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp2 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp3 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ( c2_1 @ X13 )
| ( c3_1 @ X13 ) ) )
| ! [X14: $i] :
( ndr1_0
=> ( ( c3_1 @ X14 )
| ~ ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 ) ) ) )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c1_1 @ X15 )
| ( c3_1 @ X15 ) ) )
| ! [X16: $i] :
( ndr1_0
=> ( ( c2_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| hskp4 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ( c2_1 @ X18 ) ) )
| hskp5 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ( c3_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp4 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c1_1 @ X21 )
| ~ ( c2_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| hskp26 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c1_1 @ X23 )
| ~ ( c2_1 @ X23 ) ) )
| hskp6
| hskp2 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c1_1 @ X25 )
| ( c2_1 @ X25 )
| ( c3_1 @ X25 ) ) )
| hskp27 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) )
| hskp7 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ~ ( c1_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) )
| ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) ) )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) )
| hskp8 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| hskp9 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| hskp10 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp11 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp0
| hskp12 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) )
| hskp9 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 ) ) )
| hskp9 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ( c3_1 @ X45 )
| ~ ( c0_1 @ X45 ) ) )
| hskp13 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp27
| hskp10 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| hskp8 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| hskp7 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| hskp14 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c3_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c2_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) ) )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 ) ) )
| hskp10 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ( c3_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp28 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ( c3_1 @ X63 ) ) )
| hskp3
| hskp15 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c0_1 @ X64 ) ) )
| hskp16
| hskp17 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| hskp7
| hskp12 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c0_1 @ X67 ) ) )
| hskp12 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| hskp27
| hskp16 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| hskp18
| hskp2 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) )
| hskp19
| hskp20 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp12
| hskp14 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c2_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) )
| hskp9 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ~ ( c0_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp17 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp3
| hskp12 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ( c0_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 ) ) )
| hskp1 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ( c0_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp3 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp21 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| hskp11
| hskp7 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 ) ) )
| hskp18
| hskp20 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp15
| hskp2 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c2_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) )
| hskp15
| hskp12 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp26
| hskp10 )
& ( hskp27
| hskp22
| hskp17 )
& ( hskp8
| hskp15
| hskp16 )
& ( hskp25
| hskp5
| hskp14 )
& ( hskp9
| hskp23
| hskp20 )
& ( hskp21
| hskp10
| hskp6 )
& ( hskp5
| hskp11 )
& ( hskp24
| hskp15
| hskp16 )
& ( hskp20
| hskp6
| hskp12 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl94,plain,
( ~ hskp20
| ( c3_1 @ a503 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl475,plain,
( ( c3_1 @ a503 )
<= ( c3_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl16,plain,
! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 )
| ~ ndr1_0
| hskp3
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1362,plain,
( ( ( c1_1 @ a503 )
| ~ ( c0_1 @ a503 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c3_1 @ a503 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl231]) ).
thf('0',plain,
( ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c0_1 @ a503 )
| ~ ( c3_1 @ a503 )
| ( c1_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl1362]) ).
thf(zip_derived_cl101,plain,
( ~ hskp18
| ( c1_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl489,plain,
( ( c1_1 @ a500 )
<= ( c1_1 @ a500 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl34,plain,
! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 )
| ~ ndr1_0
| hskp27
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl303,plain,
( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
<= ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1439,plain,
( ( ( c0_1 @ a500 )
| ~ ( c2_1 @ a500 ) )
<= ( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
& ( c1_1 @ a500 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl303]) ).
thf('1',plain,
( ~ ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
| ~ ( c2_1 @ a500 )
| ( c0_1 @ a500 )
| ~ ( c1_1 @ a500 ) ),
inference(split,[status(esa)],[zip_derived_cl1439]) ).
thf('2',plain,
( ( c1_1 @ a500 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp18
| ( c2_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( c2_1 @ a500 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp18
| ~ ( c0_1 @ a500 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ~ ( c0_1 @ a500 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl11,plain,
! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ndr1_0
| hskp18
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( hskp18
| hskp20
| ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl44,plain,
! [X60: $i,X61: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ndr1_0
| ( c2_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c0_1 @ X61 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( hskp7
| ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl12,plain,
! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ndr1_0
| hskp11
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( hskp11
| hskp7
| ~ ndr1_0
| ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ndr1_0
| hskp3
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl271,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl231_001,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1158,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c1_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl231]) ).
thf(zip_derived_cl1183,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1158]) ).
thf(zip_derived_cl146,plain,
( ~ hskp7
| ~ ( c1_1 @ a474 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl579,plain,
( ~ ( c1_1 @ a474 )
<= ~ ( c1_1 @ a474 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl6167,plain,
( ( ( c2_1 @ a474 )
| ~ ( c0_1 @ a474 ) )
<= ( ~ ( c1_1 @ a474 )
& ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1183,zip_derived_cl579]) ).
thf('8',plain,
( ~ ( c0_1 @ a474 )
| ( c1_1 @ a474 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ( c2_1 @ a474 ) ),
inference(split,[status(esa)],[zip_derived_cl6167]) ).
thf('9',plain,
( ~ ( c1_1 @ a474 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl147,plain,
( ~ hskp7
| ~ ( c2_1 @ a474 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ~ ( c2_1 @ a474 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl271_002,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl40,plain,
! [X51: $i,X52: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 )
| ~ ndr1_0
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1701,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl328]) ).
thf(zip_derived_cl1718,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1701]) ).
thf(zip_derived_cl579_003,plain,
( ~ ( c1_1 @ a474 )
<= ~ ( c1_1 @ a474 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl7118,plain,
( ( ( c2_1 @ a474 )
| ( c0_1 @ a474 ) )
<= ( ~ ( c1_1 @ a474 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl579]) ).
thf('11',plain,
( ( c0_1 @ a474 )
| ( c1_1 @ a474 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c2_1 @ a474 ) ),
inference(split,[status(esa)],[zip_derived_cl7118]) ).
thf(zip_derived_cl18,plain,
! [X14: $i,X15: $i] :
( ( c1_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ndr1_0
| ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( hskp9
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl52,plain,
! [X76: $i,X77: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ( c3_1 @ X76 )
| ~ ndr1_0
| ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c3_1 @ X77 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| hskp3
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl161,plain,
( ~ hskp3
| ( c1_1 @ a466 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl609,plain,
( ( c1_1 @ a466 )
<= ( c1_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl42,plain,
! [X55: $i,X56: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ndr1_0
| ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl336,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1730,plain,
( ( ( c0_1 @ a466 )
| ( c2_1 @ a466 ) )
<= ( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
& ( c1_1 @ a466 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl336]) ).
thf('14',plain,
( ( c2_1 @ a466 )
| ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ( c0_1 @ a466 )
| ~ ( c1_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl1730]) ).
thf(zip_derived_cl71,plain,
( ~ hskp26
| ( c3_1 @ a470 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ( c3_1 @ a470 )
<= ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl28,plain,
! [X27: $i,X28: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 )
| ~ ndr1_0
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl280,plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
<= ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1283,plain,
( ( ( c0_1 @ a470 )
| ~ ( c2_1 @ a470 ) )
<= ( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
& ( c3_1 @ a470 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl280]) ).
thf('15',plain,
( ( c0_1 @ a470 )
| ~ ( c2_1 @ a470 )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ~ ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl1283]) ).
thf(zip_derived_cl69,plain,
( ~ hskp26
| ( c1_1 @ a470 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl425,plain,
( ( c1_1 @ a470 )
<= ( c1_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl15,plain,
! [X9: $i,X10: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c0_1 @ X9 )
| ~ ndr1_0
| ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1270,plain,
( ( ~ ( c0_1 @ a470 )
| ~ ( c2_1 @ a470 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ( c1_1 @ a470 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl425,zip_derived_cl227]) ).
thf('16',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| ~ ( c1_1 @ a470 )
| ~ ( c2_1 @ a470 )
| ~ ( c0_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl1270]) ).
thf('17',plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| hskp10
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl158,plain,
( ~ hskp4
| ~ ( c0_1 @ a467 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( ~ ( c0_1 @ a467 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl67,plain,
( ~ hskp27
| ( c3_1 @ a473 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl421,plain,
( ( c3_1 @ a473 )
<= ( c3_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl9,plain,
! [X1: $i] :
( ( c2_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp15
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl203,plain,
( ! [X1: $i] :
( ( c2_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ( c2_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1261,plain,
( ( ( c2_1 @ a473 )
| ~ ( c1_1 @ a473 ) )
<= ( ! [X1: $i] :
( ( c2_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a473 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl203]) ).
thf(zip_derived_cl3138,plain,
( ( c2_1 @ a473 )
<= ( c2_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1261]) ).
thf(zip_derived_cl51,plain,
! [X73: $i,X74: $i,X75: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ndr1_0
| ( c1_1 @ X74 )
| ( c2_1 @ X74 )
| ( c3_1 @ X74 )
| ~ ndr1_0
| ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl371,plain,
( ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
<= ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl48,plain,
! [X67: $i,X68: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ndr1_0
| ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 )
| ~ ndr1_0
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl359,plain,
( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
<= ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1620,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
& ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl359]) ).
thf(zip_derived_cl1647,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
& ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1620]) ).
thf(zip_derived_cl66,plain,
( ~ hskp27
| ( c1_1 @ a473 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl419,plain,
( ( c1_1 @ a473 )
<= ( c1_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl2042,plain,
( ~ ( c2_1 @ a473 )
<= ( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
& ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
& ( c1_1 @ a473 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1647,zip_derived_cl419]) ).
thf('19',plain,
( ~ ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
| ~ ( c1_1 @ a473 )
| ~ ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
| ~ ( c2_1 @ a473 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3138,zip_derived_cl2042]) ).
thf('20',plain,
( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
| hskp27
| hskp10
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl133,plain,
( ~ hskp10
| ( c1_1 @ a477 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ( c1_1 @ a477 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl134,plain,
( ~ hskp10
| ( c2_1 @ a477 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ( c2_1 @ a477 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp10
| ~ ( c3_1 @ a477 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('23',plain,
( ~ ( c3_1 @ a477 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl371_004,plain,
( ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
<= ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl557,plain,
( ~ ( c3_1 @ a477 )
<= ~ ( c3_1 @ a477 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl1625,plain,
( ( ~ ( c2_1 @ a477 )
| ~ ( c1_1 @ a477 ) )
<= ( ~ ( c3_1 @ a477 )
& ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl557]) ).
thf('24',plain,
( ~ ( c1_1 @ a477 )
| ( c3_1 @ a477 )
| ~ ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
| ~ ( c2_1 @ a477 ) ),
inference(split,[status(esa)],[zip_derived_cl1625]) ).
thf('25',plain,
( ! [X75: $i] :
( ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) )
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl271_005,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl175,plain,
( ~ hskp0
| ~ ( c3_1 @ a460 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl637,plain,
( ~ ( c3_1 @ a460 )
<= ~ ( c3_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1161,plain,
( ( ( c2_1 @ a460 )
| ( c1_1 @ a460 ) )
<= ( ~ ( c3_1 @ a460 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl637]) ).
thf('26',plain,
( ( c1_1 @ a460 )
| ( c2_1 @ a460 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ( c3_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl1161]) ).
thf(zip_derived_cl19,plain,
! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ndr1_0
| hskp12
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl243,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl637_006,plain,
( ~ ( c3_1 @ a460 )
<= ~ ( c3_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl938,plain,
( ( ~ ( c2_1 @ a460 )
| ( c1_1 @ a460 ) )
<= ( ~ ( c3_1 @ a460 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl637]) ).
thf(zip_derived_cl3254,plain,
( ( c1_1 @ a460 )
<= ( c1_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl938]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ndr1_0
| hskp15
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl207,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl3256,plain,
( ( ( c2_1 @ a460 )
| ~ ( c0_1 @ a460 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a460 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3254,zip_derived_cl207]) ).
thf('27',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ( c1_1 @ a460 )
| ~ ( c0_1 @ a460 )
| ( c2_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl3256]) ).
thf(zip_derived_cl31,plain,
! [X35: $i,X36: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 )
| ~ ndr1_0
| ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 )
| ~ ndr1_0
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('28',plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| hskp14
| ~ ndr1_0
| ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl75,plain,
( ~ hskp25
| ( c3_1 @ a461 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('29',plain,
( ( c3_1 @ a461 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl437,plain,
( ( c3_1 @ a461 )
<= ( c3_1 @ a461 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl14,plain,
! [X7: $i,X8: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ndr1_0
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl223,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1293,plain,
( ( ~ ( c0_1 @ a461 )
| ~ ( c1_1 @ a461 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a461 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl437,zip_derived_cl223]) ).
thf('30',plain,
( ~ ( c1_1 @ a461 )
| ~ ( c3_1 @ a461 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c0_1 @ a461 ) ),
inference(split,[status(esa)],[zip_derived_cl1293]) ).
thf(zip_derived_cl2124,plain,
( ~ ( c1_1 @ a461 )
<= ~ ( c1_1 @ a461 ) ),
inference(split,[status(esa)],[zip_derived_cl1293]) ).
thf(zip_derived_cl17,plain,
! [X12: $i,X13: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 )
| ~ ndr1_0
| ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl2126,plain,
( ( ~ ( c0_1 @ a461 )
| ~ ( c2_1 @ a461 ) )
<= ( ~ ( c1_1 @ a461 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2124,zip_derived_cl236]) ).
thf('31',plain,
( ( c1_1 @ a461 )
| ~ ( c2_1 @ a461 )
| ~ ( c0_1 @ a461 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2126]) ).
thf(zip_derived_cl243_007,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl167,plain,
( ~ hskp2
| ~ ( c3_1 @ a465 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl621,plain,
( ~ ( c3_1 @ a465 )
<= ~ ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl939,plain,
( ( ~ ( c2_1 @ a465 )
| ( c1_1 @ a465 ) )
<= ( ~ ( c3_1 @ a465 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl621]) ).
thf(zip_derived_cl3297,plain,
( ( c1_1 @ a465 )
<= ( c1_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl939]) ).
thf(zip_derived_cl336_008,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl3302,plain,
( ( ( c0_1 @ a465 )
| ( c2_1 @ a465 ) )
<= ( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
& ( c1_1 @ a465 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3297,zip_derived_cl336]) ).
thf('32',plain,
( ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ~ ( c1_1 @ a465 )
| ( c0_1 @ a465 )
| ( c2_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl3302]) ).
thf(zip_derived_cl1718_009,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1701]) ).
thf(zip_derived_cl621_010,plain,
( ~ ( c3_1 @ a465 )
<= ~ ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl215,plain,
( ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl824,plain,
( ( ( c2_1 @ a465 )
| ~ ( c1_1 @ a465 ) )
<= ( ~ ( c3_1 @ a465 )
& ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl621,zip_derived_cl215]) ).
thf(zip_derived_cl1045,plain,
( ~ ( c1_1 @ a465 )
<= ~ ( c1_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl824]) ).
thf(zip_derived_cl7113,plain,
( ( ( c2_1 @ a465 )
| ( c0_1 @ a465 ) )
<= ( ~ ( c1_1 @ a465 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl1045]) ).
thf('33',plain,
( ( c1_1 @ a465 )
| ( c2_1 @ a465 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c0_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl7113]) ).
thf(zip_derived_cl165,plain,
( ~ hskp2
| ~ ( c0_1 @ a465 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('34',plain,
( ~ ( c0_1 @ a465 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl59,plain,
! [X91: $i,X92: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c2_1 @ X91 )
| ~ ndr1_0
| ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( hskp0
| ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ~ ndr1_0
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl25,plain,
! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ndr1_0
| hskp16
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl267,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl207_011,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1092,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl207]) ).
thf(zip_derived_cl1136,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1092]) ).
thf(zip_derived_cl174,plain,
( ~ hskp0
| ~ ( c2_1 @ a460 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl635,plain,
( ~ ( c2_1 @ a460 )
<= ~ ( c2_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl3037,plain,
( ~ ( c0_1 @ a460 )
<= ( ~ ( c2_1 @ a460 )
& ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1136,zip_derived_cl635]) ).
thf(zip_derived_cl173,plain,
( ~ hskp0
| ( c0_1 @ a460 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl633,plain,
( ( c0_1 @ a460 )
<= ( c0_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf('36',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c2_1 @ a460 )
| ~ ( c0_1 @ a460 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3037,zip_derived_cl633]) ).
thf(zip_derived_cl38,plain,
! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ndr1_0
| hskp0
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl319,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl131,plain,
( ~ hskp11
| ~ ( c3_1 @ a478 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl549,plain,
( ~ ( c3_1 @ a478 )
<= ~ ( c3_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1577,plain,
( ( ~ ( c2_1 @ a478 )
| ( c0_1 @ a478 ) )
<= ( ~ ( c3_1 @ a478 )
& ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl549]) ).
thf('37',plain,
( ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ( c2_1 @ a478 )
| ( c0_1 @ a478 )
| ( c3_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl1577]) ).
thf(zip_derived_cl154,plain,
( ~ hskp5
| ( c3_1 @ a468 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl595,plain,
( ( c3_1 @ a468 )
<= ( c3_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl231_012,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1483,plain,
( ( ( c1_1 @ a468 )
| ~ ( c0_1 @ a468 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c3_1 @ a468 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl231]) ).
thf(zip_derived_cl5188,plain,
( ( c1_1 @ a468 )
<= ( c1_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl1483]) ).
thf(zip_derived_cl207_013,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl5190,plain,
( ( ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a468 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5188,zip_derived_cl207]) ).
thf('38',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ( c1_1 @ a468 )
| ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl5190]) ).
thf(zip_derived_cl595_014,plain,
( ( c3_1 @ a468 )
<= ( c3_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl223_015,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1482,plain,
( ( ~ ( c0_1 @ a468 )
| ~ ( c1_1 @ a468 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a468 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl223]) ).
thf(zip_derived_cl2261,plain,
( ~ ( c1_1 @ a468 )
<= ~ ( c1_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl1482]) ).
thf(zip_derived_cl267_016,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl2264,plain,
( ( ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) )
<= ( ~ ( c1_1 @ a468 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2261,zip_derived_cl267]) ).
thf('39',plain,
( ( c1_1 @ a468 )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl2264]) ).
thf(zip_derived_cl55,plain,
! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 )
| ~ ndr1_0
| hskp0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl387,plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
<= ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl126,plain,
( ~ hskp12
| ~ ( c1_1 @ a480 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539,plain,
( ~ ( c1_1 @ a480 )
<= ~ ( c1_1 @ a480 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl1911,plain,
( ( ( c2_1 @ a480 )
| ( c0_1 @ a480 ) )
<= ( ~ ( c1_1 @ a480 )
& ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl539]) ).
thf('40',plain,
( ~ ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ( c0_1 @ a480 )
| ( c1_1 @ a480 )
| ( c2_1 @ a480 ) ),
inference(split,[status(esa)],[zip_derived_cl1911]) ).
thf('41',plain,
( hskp12
| hskp14
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl30,plain,
! [X32: $i,X33: $i,X34: $i] :
( ( c0_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 )
| ~ ndr1_0
| ( c1_1 @ X33 )
| ( c2_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ndr1_0
| ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('42',plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X49: $i,X50: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ndr1_0
| ~ ( c0_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 )
| ~ ndr1_0
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('43',plain,
( hskp11
| ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
| ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl421_017,plain,
( ( c3_1 @ a473 )
<= ( c3_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl235,plain,
( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1265,plain,
( ( ~ ( c0_1 @ a473 )
| ~ ( c2_1 @ a473 ) )
<= ( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ( c3_1 @ a473 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl235]) ).
thf('44',plain,
( ~ ( c2_1 @ a473 )
| ~ ( c0_1 @ a473 )
| ~ ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ( c3_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1265]) ).
thf('45',plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| hskp16
| hskp17
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl324,plain,
( ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
<= ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl328_018,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1703,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ( c0_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl328]) ).
thf(zip_derived_cl1720,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1703]) ).
thf(zip_derived_cl109,plain,
( ~ hskp16
| ( c1_1 @ a493 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl505,plain,
( ( c1_1 @ a493 )
<= ( c1_1 @ a493 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl6250,plain,
( ( ( c0_1 @ a493 )
| ( c2_1 @ a493 ) )
<= ( ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c1_1 @ a493 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1720,zip_derived_cl505]) ).
thf('46',plain,
( ~ ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) )
| ~ ( c1_1 @ a493 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c0_1 @ a493 )
| ( c2_1 @ a493 ) ),
inference(split,[status(esa)],[zip_derived_cl6250]) ).
thf(zip_derived_cl1136_019,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1092]) ).
thf(zip_derived_cl155,plain,
( ~ hskp5
| ~ ( c2_1 @ a468 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl597,plain,
( ~ ( c2_1 @ a468 )
<= ~ ( c2_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl3042,plain,
( ~ ( c0_1 @ a468 )
<= ( ~ ( c2_1 @ a468 )
& ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1136,zip_derived_cl597]) ).
thf(zip_derived_cl153,plain,
( ~ hskp5
| ( c0_1 @ a468 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl593,plain,
( ( c0_1 @ a468 )
<= ( c0_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('47',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3042,zip_derived_cl593]) ).
thf(zip_derived_cl224,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl83,plain,
( ~ hskp23
| ~ ( c3_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl453,plain,
( ~ ( c3_1 @ a533 )
<= ~ ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl755,plain,
( ( ~ ( c0_1 @ a533 )
| ( c2_1 @ a533 ) )
<= ( ~ ( c3_1 @ a533 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl453]) ).
thf('48',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| ( c2_1 @ a533 )
| ( c3_1 @ a533 )
| ~ ( c0_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl755]) ).
thf('49',plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| hskp1
| ~ ndr1_0
| ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl169,plain,
( ~ hskp1
| ( c2_1 @ a463 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('50',plain,
( ( c2_1 @ a463 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl170,plain,
( ~ hskp1
| ~ ( c0_1 @ a463 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('51',plain,
( ~ ( c0_1 @ a463 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp1
| ~ ( c1_1 @ a463 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ~ ( c1_1 @ a463 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl243_020,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl280_021,plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
<= ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1218,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ( c1_1 @ X0 )
| ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl280]) ).
thf(zip_derived_cl1222,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1218]) ).
thf(zip_derived_cl629,plain,
( ~ ( c1_1 @ a463 )
<= ~ ( c1_1 @ a463 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl6440,plain,
( ( ~ ( c2_1 @ a463 )
| ( c0_1 @ a463 ) )
<= ( ~ ( c1_1 @ a463 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl629]) ).
thf('53',plain,
( ~ ( c2_1 @ a463 )
| ( c0_1 @ a463 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ( c1_1 @ a463 ) ),
inference(split,[status(esa)],[zip_derived_cl6440]) ).
thf(zip_derived_cl114,plain,
( ~ hskp15
| ( c3_1 @ a492 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl515,plain,
( ( c3_1 @ a492 )
<= ( c3_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl223_022,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1401,plain,
( ( ~ ( c0_1 @ a492 )
| ~ ( c1_1 @ a492 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl223]) ).
thf('54',plain,
( ~ ( c0_1 @ a492 )
| ~ ( c1_1 @ a492 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1401]) ).
thf(zip_derived_cl43,plain,
! [X57: $i,X58: $i,X59: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ndr1_0
| ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 )
| ~ ndr1_0
| ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('55',plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl5,plain,
( hskp25
| hskp5
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( hskp25
| hskp5
| hskp14 ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl1,plain,
( hskp24
| hskp15
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('57',plain,
( hskp24
| hskp16
| hskp15 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl515_023,plain,
( ( c3_1 @ a492 )
<= ( c3_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl13,plain,
! [X5: $i,X6: $i] :
( ( c2_1 @ X5 )
| ( c3_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ndr1_0
| ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 )
| ~ ndr1_0
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl219,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1400,plain,
( ( ( c2_1 @ a492 )
| ~ ( c0_1 @ a492 ) )
<= ( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c3_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl219]) ).
thf('58',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c0_1 @ a492 )
| ~ ( c3_1 @ a492 )
| ( c2_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1400]) ).
thf(zip_derived_cl92,plain,
( ~ hskp20
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( ndr1_0
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl92]) ).
thf(zip_derived_cl77,plain,
( ~ hskp24
| ( c0_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ( c0_1 @ a540 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl78,plain,
( ~ hskp24
| ~ ( c1_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('61',plain,
( ~ ( c1_1 @ a540 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl79,plain,
( ~ hskp24
| ~ ( c2_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( ~ ( c2_1 @ a540 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl267_024,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl443,plain,
( ~ ( c1_1 @ a540 )
<= ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl1113,plain,
( ( ~ ( c0_1 @ a540 )
| ( c2_1 @ a540 ) )
<= ( ~ ( c1_1 @ a540 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl443]) ).
thf('63',plain,
( ( c1_1 @ a540 )
| ( c2_1 @ a540 )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ( c0_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1113]) ).
thf(zip_derived_cl236_025,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl91,plain,
( ~ hskp21
| ~ ( c1_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl469,plain,
( ~ ( c1_1 @ a512 )
<= ~ ( c1_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl879,plain,
( ( ~ ( c2_1 @ a512 )
| ~ ( c0_1 @ a512 ) )
<= ( ~ ( c1_1 @ a512 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl469]) ).
thf('64',plain,
( ~ ( c2_1 @ a512 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ( c1_1 @ a512 )
| ~ ( c0_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl879]) ).
thf(zip_derived_cl267_026,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl469_027,plain,
( ~ ( c1_1 @ a512 )
<= ~ ( c1_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1111,plain,
( ( ~ ( c0_1 @ a512 )
| ( c2_1 @ a512 ) )
<= ( ~ ( c1_1 @ a512 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl469]) ).
thf('65',plain,
( ( c2_1 @ a512 )
| ( c1_1 @ a512 )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ( c0_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl1111]) ).
thf(zip_derived_cl453_028,plain,
( ~ ( c3_1 @ a533 )
<= ~ ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ndr1_0
| hskp26
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl687,plain,
( ( ~ ( c0_1 @ a533 )
| ~ ( c2_1 @ a533 ) )
<= ( ~ ( c3_1 @ a533 )
& ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl453,zip_derived_cl199]) ).
thf('66',plain,
( ~ ( c2_1 @ a533 )
| ~ ( c0_1 @ a533 )
| ~ ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl687]) ).
thf(zip_derived_cl33,plain,
! [X39: $i,X40: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 )
| ~ ndr1_0
| ( c3_1 @ X40 )
| ~ ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( hskp8
| ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl515_029,plain,
( ( c3_1 @ a492 )
<= ( c3_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl292,plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1406,plain,
( ( ( c0_1 @ a492 )
| ~ ( c1_1 @ a492 ) )
<= ( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
& ( c3_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl292]) ).
thf('68',plain,
( ( c0_1 @ a492 )
| ~ ( c3_1 @ a492 )
| ~ ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ( c1_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1406]) ).
thf(zip_derived_cl113,plain,
( ~ hskp15
| ( c1_1 @ a492 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl513,plain,
( ( c1_1 @ a492 )
<= ( c1_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl336_030,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1733,plain,
( ( ( c0_1 @ a492 )
| ( c2_1 @ a492 ) )
<= ( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
& ( c1_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl336]) ).
thf('69',plain,
( ( c0_1 @ a492 )
| ~ ( c1_1 @ a492 )
| ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ( c2_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1733]) ).
thf(zip_derived_cl112,plain,
( ~ hskp15
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('70',plain,
( ndr1_0
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl112]) ).
thf('71',plain,
( hskp3
| hskp15
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl37,plain,
! [X46: $i,X47: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ndr1_0
| ( c1_1 @ X47 )
| ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('72',plain,
( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
| ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ndr1_0
| hskp9 ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl108,plain,
( ~ hskp16
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('73',plain,
( ndr1_0
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl108]) ).
thf('74',plain,
( ( c3_1 @ a492 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl515_031,plain,
( ( c3_1 @ a492 )
<= ( c3_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl328_032,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1709,plain,
( ( ( c0_1 @ a492 )
| ( c2_1 @ a492 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl328]) ).
thf('75',plain,
( ( c0_1 @ a492 )
| ~ ( c3_1 @ a492 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c2_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1709]) ).
thf('76',plain,
( ( c1_1 @ a492 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl115,plain,
( ~ hskp15
| ~ ( c2_1 @ a492 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( ~ ( c2_1 @ a492 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl6,plain,
( hskp8
| hskp15
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( hskp8
| hskp16
| hskp15 ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('79',plain,
( ( c1_1 @ a493 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl110,plain,
( ~ hskp16
| ~ ( c0_1 @ a493 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('80',plain,
( ~ ( c0_1 @ a493 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp16
| ~ ( c2_1 @ a493 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('81',plain,
( ~ ( c2_1 @ a493 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl505_033,plain,
( ( c1_1 @ a493 )
<= ( c1_1 @ a493 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl336_034,plain,
( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
<= ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1734,plain,
( ( ( c0_1 @ a493 )
| ( c2_1 @ a493 ) )
<= ( ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
& ( c1_1 @ a493 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl336]) ).
thf('82',plain,
( ~ ( c1_1 @ a493 )
| ( c0_1 @ a493 )
| ~ ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ( c2_1 @ a493 ) ),
inference(split,[status(esa)],[zip_derived_cl1734]) ).
thf('83',plain,
( hskp8
| ! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c1_1 @ X55 ) )
| ! [X56: $i] :
( ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl475_035,plain,
( ( c3_1 @ a503 )
<= ( c3_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl335,plain,
( ! [X56: $i] :
( ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
<= ! [X56: $i] :
( ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1547,plain,
( ( ( c1_1 @ a503 )
| ~ ( c2_1 @ a503 ) )
<= ( ! [X56: $i] :
( ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
& ( c3_1 @ a503 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl335]) ).
thf('84',plain,
( ~ ! [X56: $i] :
( ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ( c3_1 @ a503 )
| ( c1_1 @ a503 )
| ~ ( c2_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl1547]) ).
thf(zip_derived_cl104,plain,
( ~ hskp17
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('85',plain,
( ndr1_0
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl104]) ).
thf(zip_derived_cl7,plain,
( hskp27
| hskp22
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('86',plain,
( hskp22
| hskp27
| hskp17 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl81,plain,
( ~ hskp23
| ( c0_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('87',plain,
( ( c0_1 @ a533 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl267_036,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl82,plain,
( ~ hskp23
| ~ ( c1_1 @ a533 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl451,plain,
( ~ ( c1_1 @ a533 )
<= ~ ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1112,plain,
( ( ~ ( c0_1 @ a533 )
| ( c2_1 @ a533 ) )
<= ( ~ ( c1_1 @ a533 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl451]) ).
thf('88',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ( c0_1 @ a533 )
| ( c1_1 @ a533 )
| ( c2_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl1112]) ).
thf(zip_derived_cl236_037,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl451_038,plain,
( ~ ( c1_1 @ a533 )
<= ~ ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl880,plain,
( ( ~ ( c2_1 @ a533 )
| ~ ( c0_1 @ a533 ) )
<= ( ~ ( c1_1 @ a533 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl451]) ).
thf('89',plain,
( ~ ( c2_1 @ a533 )
| ~ ( c0_1 @ a533 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl880]) ).
thf(zip_derived_cl243_039,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl453_040,plain,
( ~ ( c3_1 @ a533 )
<= ~ ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl947,plain,
( ( ~ ( c2_1 @ a533 )
| ( c1_1 @ a533 ) )
<= ( ~ ( c3_1 @ a533 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl453]) ).
thf(zip_derived_cl3544,plain,
( ( c1_1 @ a533 )
<= ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl947]) ).
thf(zip_derived_cl227_041,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl3546,plain,
( ( ~ ( c0_1 @ a533 )
| ~ ( c2_1 @ a533 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ( c1_1 @ a533 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3544,zip_derived_cl227]) ).
thf('90',plain,
( ~ ( c1_1 @ a533 )
| ~ ( c0_1 @ a533 )
| ~ ( c2_1 @ a533 )
| ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3546]) ).
thf(zip_derived_cl3544_042,plain,
( ( c1_1 @ a533 )
<= ( c1_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl947]) ).
thf(zip_derived_cl207_043,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl3545,plain,
( ( ( c2_1 @ a533 )
| ~ ( c0_1 @ a533 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a533 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3544,zip_derived_cl207]) ).
thf('91',plain,
( ~ ( c1_1 @ a533 )
| ~ ( c0_1 @ a533 )
| ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ( c2_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl3545]) ).
thf(zip_derived_cl421_044,plain,
( ( c3_1 @ a473 )
<= ( c3_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl223_045,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1263,plain,
( ( ~ ( c0_1 @ a473 )
| ~ ( c1_1 @ a473 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a473 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl421,zip_derived_cl223]) ).
thf(zip_derived_cl1883,plain,
( ~ ( c1_1 @ a473 )
<= ~ ( c1_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1263]) ).
thf(zip_derived_cl236_046,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1885,plain,
( ( ~ ( c0_1 @ a473 )
| ~ ( c2_1 @ a473 ) )
<= ( ~ ( c1_1 @ a473 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1883,zip_derived_cl236]) ).
thf('92',plain,
( ( c1_1 @ a473 )
| ~ ( c2_1 @ a473 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ( c0_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1885]) ).
thf(zip_derived_cl419_047,plain,
( ( c1_1 @ a473 )
<= ( c1_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl207_048,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1255,plain,
( ( ( c2_1 @ a473 )
| ~ ( c0_1 @ a473 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a473 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl207]) ).
thf('93',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ( c2_1 @ a473 )
| ~ ( c1_1 @ a473 )
| ~ ( c0_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1255]) ).
thf(zip_derived_cl419_049,plain,
( ( c1_1 @ a473 )
<= ( c1_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl227_050,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1256,plain,
( ( ~ ( c0_1 @ a473 )
| ~ ( c2_1 @ a473 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ( c1_1 @ a473 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl227]) ).
thf('94',plain,
( ~ ( c2_1 @ a473 )
| ~ ( c1_1 @ a473 )
| ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| ~ ( c0_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1256]) ).
thf(zip_derived_cl1883_051,plain,
( ~ ( c1_1 @ a473 )
<= ~ ( c1_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1263]) ).
thf(zip_derived_cl267_052,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1886,plain,
( ( ( c2_1 @ a473 )
| ~ ( c0_1 @ a473 ) )
<= ( ~ ( c1_1 @ a473 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1883,zip_derived_cl267]) ).
thf('95',plain,
( ( c1_1 @ a473 )
| ( c2_1 @ a473 )
| ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ( c0_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1886]) ).
thf(zip_derived_cl513_053,plain,
( ( c1_1 @ a492 )
<= ( c1_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl207_054,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1393,plain,
( ( ( c2_1 @ a492 )
| ~ ( c0_1 @ a492 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a492 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl207]) ).
thf('96',plain,
( ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ( c0_1 @ a492 )
| ~ ( c1_1 @ a492 )
| ( c2_1 @ a492 ) ),
inference(split,[status(esa)],[zip_derived_cl1393]) ).
thf(zip_derived_cl143,plain,
( ~ hskp8
| ~ ( c3_1 @ a475 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl573,plain,
( ~ ( c3_1 @ a475 )
<= ~ ( c3_1 @ a475 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl215_055,plain,
( ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl785,plain,
( ( ( c2_1 @ a475 )
| ~ ( c1_1 @ a475 ) )
<= ( ~ ( c3_1 @ a475 )
& ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl573,zip_derived_cl215]) ).
thf(zip_derived_cl1027,plain,
( ( c2_1 @ a475 )
<= ( c2_1 @ a475 ) ),
inference(split,[status(esa)],[zip_derived_cl785]) ).
thf(zip_derived_cl236_056,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl227_057,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl864,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl227]) ).
thf(zip_derived_cl901,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl2007,plain,
( ~ ( c0_1 @ a475 )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
& ( c2_1 @ a475 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1027,zip_derived_cl901]) ).
thf(zip_derived_cl141,plain,
( ~ hskp8
| ( c0_1 @ a475 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl569,plain,
( ( c0_1 @ a475 )
<= ( c0_1 @ a475 ) ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf('97',plain,
( ~ ( c2_1 @ a475 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| ~ ( c0_1 @ a475 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2007,zip_derived_cl569]) ).
thf('98',plain,
( ( c0_1 @ a475 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl142,plain,
( ~ hskp8
| ( c1_1 @ a475 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( ( c1_1 @ a475 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl571,plain,
( ( c1_1 @ a475 )
<= ( c1_1 @ a475 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl207_058,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1458,plain,
( ( ( c2_1 @ a475 )
| ~ ( c0_1 @ a475 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a475 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl571,zip_derived_cl207]) ).
thf('100',plain,
( ( c2_1 @ a475 )
| ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ( c0_1 @ a475 )
| ~ ( c1_1 @ a475 ) ),
inference(split,[status(esa)],[zip_derived_cl1458]) ).
thf(zip_derived_cl85,plain,
( ~ hskp22
| ( c0_1 @ a524 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( ( c0_1 @ a524 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
( ~ hskp22
| ( c1_1 @ a524 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('102',plain,
( ( c1_1 @ a524 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp22
| ~ ( c2_1 @ a524 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( ~ ( c2_1 @ a524 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl459,plain,
( ( c1_1 @ a524 )
<= ( c1_1 @ a524 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl207_059,plain,
( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
<= ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1317,plain,
( ( ( c2_1 @ a524 )
| ~ ( c0_1 @ a524 ) )
<= ( ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
& ( c1_1 @ a524 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl207]) ).
thf('104',plain,
( ~ ( c0_1 @ a524 )
| ( c2_1 @ a524 )
| ~ ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) )
| ~ ( c1_1 @ a524 ) ),
inference(split,[status(esa)],[zip_derived_cl1317]) ).
thf(zip_derived_cl73,plain,
( ~ hskp25
| ( c0_1 @ a461 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('105',plain,
( ( c0_1 @ a461 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl74,plain,
( ~ hskp25
| ( c2_1 @ a461 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ( c2_1 @ a461 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl901_060,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl435,plain,
( ( c2_1 @ a461 )
<= ( c2_1 @ a461 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl1999,plain,
( ~ ( c0_1 @ a461 )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
& ( c2_1 @ a461 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl435]) ).
thf(zip_derived_cl433,plain,
( ( c0_1 @ a461 )
<= ( c0_1 @ a461 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('107',plain,
( ~ ( c0_1 @ a461 )
| ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| ~ ( c2_1 @ a461 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1999,zip_derived_cl433]) ).
thf(zip_derived_cl62,plain,
( ~ hskp28
| ( c1_1 @ a490 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ( c1_1 @ a490 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl61,plain,
( ~ hskp28
| ( c0_1 @ a490 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( ( c0_1 @ a490 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl63,plain,
( ~ hskp28
| ( c2_1 @ a490 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ( c2_1 @ a490 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl411,plain,
( ( c1_1 @ a490 )
<= ( c1_1 @ a490 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl227_061,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl1228,plain,
( ( ~ ( c0_1 @ a490 )
| ~ ( c2_1 @ a490 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
& ( c1_1 @ a490 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl411,zip_derived_cl227]) ).
thf('111',plain,
( ~ ( c0_1 @ a490 )
| ~ ( c2_1 @ a490 )
| ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) )
| ~ ( c1_1 @ a490 ) ),
inference(split,[status(esa)],[zip_derived_cl1228]) ).
thf(zip_derived_cl125,plain,
( ~ hskp12
| ~ ( c0_1 @ a480 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ~ ( c0_1 @ a480 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('113',plain,
( ~ ( c1_1 @ a480 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl127,plain,
( ~ hskp12
| ~ ( c2_1 @ a480 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ~ ( c2_1 @ a480 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf('115',plain,
( hskp3
| hskp12
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl90,plain,
( ~ hskp21
| ( c3_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ( c3_1 @ a512 )
<= ( c3_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl231_062,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1349,plain,
( ( ( c1_1 @ a512 )
| ~ ( c0_1 @ a512 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c3_1 @ a512 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl231]) ).
thf('116',plain,
( ~ ( c0_1 @ a512 )
| ~ ( c3_1 @ a512 )
| ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ( c1_1 @ a512 ) ),
inference(split,[status(esa)],[zip_derived_cl1349]) ).
thf(zip_derived_cl162,plain,
( ~ hskp3
| ( c3_1 @ a466 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
( ( c3_1 @ a466 )
<= ( c3_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl328_063,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1705,plain,
( ( ( c0_1 @ a466 )
| ( c2_1 @ a466 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a466 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl328]) ).
thf('117',plain,
( ( c2_1 @ a466 )
| ~ ( c3_1 @ a466 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c0_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl1705]) ).
thf(zip_derived_cl609_064,plain,
( ( c1_1 @ a466 )
<= ( c1_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl303_065,plain,
( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
<= ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1500,plain,
( ( ( c0_1 @ a466 )
| ~ ( c2_1 @ a466 ) )
<= ( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
& ( c1_1 @ a466 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl609,zip_derived_cl303]) ).
thf('118',plain,
( ~ ( c2_1 @ a466 )
| ~ ( c1_1 @ a466 )
| ~ ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
| ( c0_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl1500]) ).
thf(zip_derived_cl89,plain,
( ~ hskp21
| ( c0_1 @ a512 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('119',plain,
( ( c0_1 @ a512 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('120',plain,
( ( c3_1 @ a512 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('121',plain,
( ~ ( c1_1 @ a512 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl41,plain,
! [X53: $i,X54: $i] :
( ( c0_1 @ X53 )
| ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 )
| ~ ndr1_0
| ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('122',plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| hskp9
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('123',plain,
( hskp21
| ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('124',plain,
( ~ ! [X4: $i] :
( ( c2_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c1_1 @ a465 )
| ( c2_1 @ a465 )
| ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl824]) ).
thf(zip_derived_cl166,plain,
( ~ hskp2
| ~ ( c2_1 @ a465 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( ~ ( c2_1 @ a465 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf('126',plain,
( ~ ( c3_1 @ a465 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl271_066,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl621_067,plain,
( ~ ( c3_1 @ a465 )
<= ~ ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl1162,plain,
( ( ( c2_1 @ a465 )
| ( c1_1 @ a465 ) )
<= ( ~ ( c3_1 @ a465 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl621]) ).
thf('127',plain,
( ( c1_1 @ a465 )
| ( c3_1 @ a465 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ( c2_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl1162]) ).
thf(zip_derived_cl1222_068,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1218]) ).
thf(zip_derived_cl95,plain,
( ~ hskp20
| ~ ( c1_1 @ a503 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl477,plain,
( ~ ( c1_1 @ a503 )
<= ~ ( c1_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl6457,plain,
( ( ~ ( c2_1 @ a503 )
| ( c0_1 @ a503 ) )
<= ( ~ ( c1_1 @ a503 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1222,zip_derived_cl477]) ).
thf('128',plain,
( ( c0_1 @ a503 )
| ~ ( c2_1 @ a503 )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ( c1_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl6457]) ).
thf(zip_derived_cl46,plain,
! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ndr1_0
| hskp6
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('129',plain,
( hskp2
| hskp6
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl351,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl477_069,plain,
( ~ ( c1_1 @ a503 )
<= ~ ( c1_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1773,plain,
( ( ~ ( c2_1 @ a503 )
| ( c0_1 @ a503 ) )
<= ( ~ ( c1_1 @ a503 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl477]) ).
thf('130',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ( c0_1 @ a503 )
| ( c1_1 @ a503 )
| ~ ( c2_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl1773]) ).
thf(zip_derived_cl236_070,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl477_071,plain,
( ~ ( c1_1 @ a503 )
<= ~ ( c1_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl878,plain,
( ( ~ ( c2_1 @ a503 )
| ~ ( c0_1 @ a503 ) )
<= ( ~ ( c1_1 @ a503 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl477]) ).
thf('131',plain,
( ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ( c0_1 @ a503 )
| ( c1_1 @ a503 )
| ~ ( c2_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl878]) ).
thf('132',plain,
( ~ ( c1_1 @ a503 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl4,plain,
( hskp9
| hskp23
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('133',plain,
( hskp23
| hskp20
| hskp9 ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl27,plain,
! [X25: $i,X26: $i] :
( ( c1_1 @ X25 )
| ( c2_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ndr1_0
| ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c3_1 @ X26 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( hskp28
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('135',plain,
( ( c0_1 @ a468 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('136',plain,
( ( c3_1 @ a468 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('137',plain,
( ~ ( c2_1 @ a468 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl595_072,plain,
( ( c3_1 @ a468 )
<= ( c3_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl219_073,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1481,plain,
( ( ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) )
<= ( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c3_1 @ a468 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl595,zip_derived_cl219]) ).
thf('138',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c3_1 @ a468 )
| ( c2_1 @ a468 )
| ~ ( c0_1 @ a468 ) ),
inference(split,[status(esa)],[zip_derived_cl1481]) ).
thf(zip_derived_cl243_074,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl549_075,plain,
( ~ ( c3_1 @ a478 )
<= ~ ( c3_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl943,plain,
( ( ~ ( c2_1 @ a478 )
| ( c1_1 @ a478 ) )
<= ( ~ ( c3_1 @ a478 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl549]) ).
thf('139',plain,
( ( c1_1 @ a478 )
| ( c3_1 @ a478 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c2_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl943]) ).
thf(zip_derived_cl129,plain,
( ~ hskp11
| ( c2_1 @ a478 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('140',plain,
( ( c2_1 @ a478 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl130,plain,
( ~ hskp11
| ~ ( c0_1 @ a478 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('141',plain,
( ~ ( c0_1 @ a478 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('142',plain,
( ~ ( c3_1 @ a478 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl3396,plain,
( ( c1_1 @ a478 )
<= ( c1_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl943]) ).
thf(zip_derived_cl303_076,plain,
( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
<= ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl3400,plain,
( ( ( c0_1 @ a478 )
| ~ ( c2_1 @ a478 ) )
<= ( ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
& ( c1_1 @ a478 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3396,zip_derived_cl303]) ).
thf('143',plain,
( ~ ( c1_1 @ a478 )
| ~ ! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) )
| ( c0_1 @ a478 )
| ~ ( c2_1 @ a478 ) ),
inference(split,[status(esa)],[zip_derived_cl3400]) ).
thf(zip_derived_cl1718_077,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1701]) ).
thf(zip_derived_cl539_078,plain,
( ~ ( c1_1 @ a480 )
<= ~ ( c1_1 @ a480 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl7123,plain,
( ( ( c2_1 @ a480 )
| ( c0_1 @ a480 ) )
<= ( ~ ( c1_1 @ a480 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1718,zip_derived_cl539]) ).
thf('144',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c1_1 @ a480 )
| ( c0_1 @ a480 )
| ( c2_1 @ a480 ) ),
inference(split,[status(esa)],[zip_derived_cl7123]) ).
thf(zip_derived_cl137,plain,
( ~ hskp9
| ( c0_1 @ a476 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('145',plain,
( ( c0_1 @ a476 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl138,plain,
( ~ hskp9
| ( c2_1 @ a476 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ( c2_1 @ a476 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl139,plain,
( ~ hskp9
| ~ ( c1_1 @ a476 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('147',plain,
( ~ ( c1_1 @ a476 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl236_079,plain,
( ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
<= ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl565,plain,
( ~ ( c1_1 @ a476 )
<= ~ ( c1_1 @ a476 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl871,plain,
( ( ~ ( c2_1 @ a476 )
| ~ ( c0_1 @ a476 ) )
<= ( ~ ( c1_1 @ a476 )
& ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl236,zip_derived_cl565]) ).
thf('148',plain,
( ~ ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) )
| ~ ( c0_1 @ a476 )
| ( c1_1 @ a476 )
| ~ ( c2_1 @ a476 ) ),
inference(split,[status(esa)],[zip_derived_cl871]) ).
thf('149',plain,
( ~ ( c2_1 @ a533 )
| ( c1_1 @ a533 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl947]) ).
thf('150',plain,
( ~ ( c1_1 @ a533 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf('151',plain,
( ~ ( c3_1 @ a533 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl271_080,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl453_081,plain,
( ~ ( c3_1 @ a533 )
<= ~ ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl1170,plain,
( ( ( c2_1 @ a533 )
| ( c1_1 @ a533 ) )
<= ( ~ ( c3_1 @ a533 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl453]) ).
thf('152',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ( c2_1 @ a533 )
| ( c1_1 @ a533 )
| ( c3_1 @ a533 ) ),
inference(split,[status(esa)],[zip_derived_cl1170]) ).
thf(zip_derived_cl271_082,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl107,plain,
( ~ hskp17
| ~ ( c3_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl501,plain,
( ~ ( c3_1 @ a494 )
<= ~ ( c3_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1169,plain,
( ( ( c2_1 @ a494 )
| ( c1_1 @ a494 ) )
<= ( ~ ( c3_1 @ a494 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl501]) ).
thf('153',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ( c2_1 @ a494 )
| ( c3_1 @ a494 )
| ( c1_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1169]) ).
thf(zip_derived_cl243_083,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl235_084,plain,
( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl937,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl235]) ).
thf(zip_derived_cl959,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl937]) ).
thf(zip_derived_cl565_085,plain,
( ~ ( c1_1 @ a476 )
<= ~ ( c1_1 @ a476 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl3830,plain,
( ( ~ ( c2_1 @ a476 )
| ~ ( c0_1 @ a476 ) )
<= ( ~ ( c1_1 @ a476 )
& ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl959,zip_derived_cl565]) ).
thf('154',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c0_1 @ a476 )
| ~ ( c2_1 @ a476 )
| ~ ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ( c1_1 @ a476 ) ),
inference(split,[status(esa)],[zip_derived_cl3830]) ).
thf(zip_derived_cl429_086,plain,
( ( c3_1 @ a470 )
<= ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl223_087,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1279,plain,
( ( ~ ( c0_1 @ a470 )
| ~ ( c1_1 @ a470 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a470 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl223]) ).
thf('155',plain,
( ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c0_1 @ a470 )
| ~ ( c1_1 @ a470 )
| ~ ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl1279]) ).
thf(zip_derived_cl429_088,plain,
( ( c3_1 @ a470 )
<= ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl292_089,plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1342,plain,
( ( ( c0_1 @ a470 )
| ~ ( c1_1 @ a470 ) )
<= ( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
& ( c3_1 @ a470 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl292]) ).
thf('156',plain,
( ( c0_1 @ a470 )
| ~ ( c1_1 @ a470 )
| ~ ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl1342]) ).
thf(zip_derived_cl117,plain,
( ~ hskp14
| ~ ( c1_1 @ a488 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ~ ( c1_1 @ a488 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl118,plain,
( ~ hskp14
| ~ ( c2_1 @ a488 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('158',plain,
( ~ hskp14
| ~ ( c2_1 @ a488 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp14
| ~ ( c3_1 @ a488 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('159',plain,
( ~ hskp14
| ~ ( c3_1 @ a488 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl271_090,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl525,plain,
( ~ ( c3_1 @ a488 )
<= ~ ( c3_1 @ a488 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl1168,plain,
( ( ( c2_1 @ a488 )
| ( c1_1 @ a488 ) )
<= ( ~ ( c3_1 @ a488 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl271,zip_derived_cl525]) ).
thf('160',plain,
( ( c2_1 @ a488 )
| ( c1_1 @ a488 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) )
| ( c3_1 @ a488 ) ),
inference(split,[status(esa)],[zip_derived_cl1168]) ).
thf('161',plain,
( hskp0
| hskp12
| ~ ndr1_0
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl243_091,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl501_092,plain,
( ~ ( c3_1 @ a494 )
<= ~ ( c3_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl946,plain,
( ( ~ ( c2_1 @ a494 )
| ( c1_1 @ a494 ) )
<= ( ~ ( c3_1 @ a494 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl501]) ).
thf('162',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c2_1 @ a494 )
| ( c3_1 @ a494 )
| ( c1_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl946]) ).
thf(zip_derived_cl105,plain,
( ~ hskp17
| ~ ( c0_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ~ ( c0_1 @ a494 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf('164',plain,
( ~ ( c3_1 @ a494 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl149,plain,
( ~ hskp6
| ( c2_1 @ a471 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('165',plain,
( ( c2_1 @ a471 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp6
| ~ ( c1_1 @ a471 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( ~ ( c1_1 @ a471 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl151,plain,
( ~ hskp6
| ~ ( c3_1 @ a471 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('167',plain,
( ~ ( c3_1 @ a471 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl243_093,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl589,plain,
( ~ ( c3_1 @ a471 )
<= ~ ( c3_1 @ a471 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl940,plain,
( ( ~ ( c2_1 @ a471 )
| ( c1_1 @ a471 ) )
<= ( ~ ( c3_1 @ a471 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl589]) ).
thf('168',plain,
( ( c1_1 @ a471 )
| ( c3_1 @ a471 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c2_1 @ a471 ) ),
inference(split,[status(esa)],[zip_derived_cl940]) ).
thf(zip_derived_cl344,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl621_094,plain,
( ~ ( c3_1 @ a465 )
<= ~ ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl1814,plain,
( ( ( c2_1 @ a465 )
| ( c0_1 @ a465 ) )
<= ( ~ ( c3_1 @ a465 )
& ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl621]) ).
thf('169',plain,
( ( c0_1 @ a465 )
| ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
| ( c2_1 @ a465 )
| ( c3_1 @ a465 ) ),
inference(split,[status(esa)],[zip_derived_cl1814]) ).
thf(zip_derived_cl29,plain,
! [X29: $i,X30: $i,X31: $i] :
( ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0
| ( c1_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ndr1_0
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('170',plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ndr1_0
| ! [X2: $i] :
( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl97,plain,
( ~ hskp19
| ( c2_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('171',plain,
( ( c2_1 @ a502 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp19
| ( c3_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('172',plain,
( ( c3_1 @ a502 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp19
| ~ ( c0_1 @ a502 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('173',plain,
( ~ ( c0_1 @ a502 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl483,plain,
( ( c3_1 @ a502 )
<= ( c3_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl280_095,plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
<= ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1376,plain,
( ( ( c0_1 @ a502 )
| ~ ( c2_1 @ a502 ) )
<= ( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
& ( c3_1 @ a502 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl280]) ).
thf('174',plain,
( ~ ( c3_1 @ a502 )
| ( c0_1 @ a502 )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ~ ( c2_1 @ a502 ) ),
inference(split,[status(esa)],[zip_derived_cl1376]) ).
thf(zip_derived_cl20,plain,
! [X17: $i] :
( ( c1_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ndr1_0
| hskp19
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('175',plain,
( hskp20
| hskp19
| ~ ndr1_0
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl475_096,plain,
( ( c3_1 @ a503 )
<= ( c3_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl280_097,plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
<= ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1365,plain,
( ( ( c0_1 @ a503 )
| ~ ( c2_1 @ a503 ) )
<= ( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
& ( c3_1 @ a503 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl280]) ).
thf('176',plain,
( ( c0_1 @ a503 )
| ~ ( c3_1 @ a503 )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ~ ( c2_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl1365]) ).
thf(zip_derived_cl93,plain,
( ~ hskp20
| ( c2_1 @ a503 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('177',plain,
( ( c2_1 @ a503 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('178',plain,
( ( c3_1 @ a503 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl475_098,plain,
( ( c3_1 @ a503 )
<= ( c3_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl235_099,plain,
( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1363,plain,
( ( ~ ( c0_1 @ a503 )
| ~ ( c2_1 @ a503 ) )
<= ( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ( c3_1 @ a503 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl235]) ).
thf('179',plain,
( ~ ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ( c0_1 @ a503 )
| ~ ( c3_1 @ a503 )
| ~ ( c2_1 @ a503 ) ),
inference(split,[status(esa)],[zip_derived_cl1363]) ).
thf('180',plain,
( hskp17
| ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ndr1_0
| ! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl106,plain,
( ~ hskp17
| ~ ( c1_1 @ a494 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('181',plain,
( ~ ( c1_1 @ a494 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl360,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl501_100,plain,
( ~ ( c3_1 @ a494 )
<= ~ ( c3_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1864,plain,
( ( ( c1_1 @ a494 )
| ( c0_1 @ a494 ) )
<= ( ~ ( c3_1 @ a494 )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl501]) ).
thf('182',plain,
( ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) )
| ( c1_1 @ a494 )
| ( c3_1 @ a494 )
| ( c0_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1864]) ).
thf('183',plain,
( hskp3
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| ~ ndr1_0
| ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl58,plain,
! [X88: $i,X89: $i,X90: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ( c2_1 @ X88 )
| ~ ndr1_0
| ( c0_1 @ X89 )
| ~ ( c1_1 @ X89 )
| ~ ( c3_1 @ X89 )
| ~ ndr1_0
| ( c2_1 @ X90 )
| ( c3_1 @ X90 )
| ~ ( c0_1 @ X90 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('184',plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl65,plain,
( ~ hskp27
| ( c0_1 @ a473 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('185',plain,
( ( c0_1 @ a473 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('186',plain,
( ( c1_1 @ a473 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf('187',plain,
( ( c3_1 @ a473 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('188',plain,
( ~ ( c1_1 @ a473 )
| ~ ( c3_1 @ a473 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c0_1 @ a473 ) ),
inference(split,[status(esa)],[zip_derived_cl1263]) ).
thf('189',plain,
( ( c0_1 @ a460 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf('190',plain,
( ~ ( c2_1 @ a460 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf('191',plain,
( ~ ( c3_1 @ a460 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl637_101,plain,
( ~ ( c3_1 @ a460 )
<= ~ ( c3_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl224_102,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl850,plain,
( ( ( c2_1 @ a460 )
| ~ ( c0_1 @ a460 ) )
<= ( ~ ( c3_1 @ a460 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl224]) ).
thf('192',plain,
( ~ ( c0_1 @ a460 )
| ( c2_1 @ a460 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 ) )
| ( c3_1 @ a460 ) ),
inference(split,[status(esa)],[zip_derived_cl850]) ).
thf(zip_derived_cl45,plain,
! [X62: $i,X63: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ndr1_0
| ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('193',plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
| hskp27
| ~ ndr1_0
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl54,plain,
! [X80: $i,X81: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ( c3_1 @ X80 )
| ~ ndr1_0
| ( c0_1 @ X81 )
| ( c2_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('194',plain,
( hskp0
| ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
| ~ ndr1_0
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl128,plain,
( ~ hskp11
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('195',plain,
( ndr1_0
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl128]) ).
thf(zip_derived_cl152,plain,
( ~ hskp5
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('196',plain,
( ndr1_0
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl152]) ).
thf(zip_derived_cl2,plain,
( hskp5
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('197',plain,
( hskp5
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl344_103,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl501_104,plain,
( ~ ( c3_1 @ a494 )
<= ~ ( c3_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1821,plain,
( ( ( c2_1 @ a494 )
| ( c0_1 @ a494 ) )
<= ( ~ ( c3_1 @ a494 )
& ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl501]) ).
thf('198',plain,
( ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) )
| ( c2_1 @ a494 )
| ( c3_1 @ a494 )
| ( c0_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1821]) ).
thf(zip_derived_cl387_105,plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
<= ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl499,plain,
( ~ ( c1_1 @ a494 )
<= ~ ( c1_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1914,plain,
( ( ( c2_1 @ a494 )
| ( c0_1 @ a494 ) )
<= ( ~ ( c1_1 @ a494 )
& ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl499]) ).
thf('199',plain,
( ~ ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ( c2_1 @ a494 )
| ( c1_1 @ a494 )
| ( c0_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1914]) ).
thf('200',plain,
( ( c1_1 @ a466 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf('201',plain,
( ( c3_1 @ a466 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl163,plain,
( ~ hskp3
| ~ ( c0_1 @ a466 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('202',plain,
( ~ ( c0_1 @ a466 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl611_106,plain,
( ( c3_1 @ a466 )
<= ( c3_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl292_107,plain,
( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1512,plain,
( ( ( c0_1 @ a466 )
| ~ ( c1_1 @ a466 ) )
<= ( ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
& ( c3_1 @ a466 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl292]) ).
thf('203',plain,
( ~ ( c3_1 @ a466 )
| ( c0_1 @ a466 )
| ~ ! [X35: $i] :
( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ( c1_1 @ a466 ) ),
inference(split,[status(esa)],[zip_derived_cl1512]) ).
thf(zip_derived_cl351_108,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl499_109,plain,
( ~ ( c1_1 @ a494 )
<= ~ ( c1_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1772,plain,
( ( ~ ( c2_1 @ a494 )
| ( c0_1 @ a494 ) )
<= ( ~ ( c1_1 @ a494 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl499]) ).
thf('204',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ( c2_1 @ a494 )
| ( c0_1 @ a494 )
| ( c1_1 @ a494 ) ),
inference(split,[status(esa)],[zip_derived_cl1772]) ).
thf(zip_derived_cl47,plain,
! [X65: $i,X66: $i] :
( ( c0_1 @ X65 )
| ( c1_1 @ X65 )
| ~ ( c2_1 @ X65 )
| ~ ndr1_0
| ~ ( c0_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 )
| ~ ndr1_0
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('205',plain,
( hskp26
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf('206',plain,
( ( c1_1 @ a470 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl70,plain,
( ~ hskp26
| ( c2_1 @ a470 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('207',plain,
( ( c2_1 @ a470 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf('208',plain,
( ( c3_1 @ a470 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl429_110,plain,
( ( c3_1 @ a470 )
<= ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl359_111,plain,
( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
<= ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl1284,plain,
( ( ~ ( c1_1 @ a470 )
| ~ ( c2_1 @ a470 ) )
<= ( ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
& ( c3_1 @ a470 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl359]) ).
thf('209',plain,
( ~ ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
| ~ ( c2_1 @ a470 )
| ~ ( c1_1 @ a470 )
| ~ ( c3_1 @ a470 ) ),
inference(split,[status(esa)],[zip_derived_cl1284]) ).
thf('210',plain,
( hskp4
| ! [X68: $i] :
( ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) )
| ~ ndr1_0
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl157,plain,
( ~ hskp4
| ( c3_1 @ a467 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('211',plain,
( ( c3_1 @ a467 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl601,plain,
( ( c3_1 @ a467 )
<= ( c3_1 @ a467 ) ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl280_112,plain,
( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
<= ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1495,plain,
( ( ( c0_1 @ a467 )
| ~ ( c2_1 @ a467 ) )
<= ( ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
& ( c3_1 @ a467 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl280]) ).
thf('212',plain,
( ~ ( c2_1 @ a467 )
| ~ ( c3_1 @ a467 )
| ~ ! [X27: $i] :
( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) )
| ( c0_1 @ a467 ) ),
inference(split,[status(esa)],[zip_derived_cl1495]) ).
thf(zip_derived_cl601_113,plain,
( ( c3_1 @ a467 )
<= ( c3_1 @ a467 ) ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl328_114,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1706,plain,
( ( ( c0_1 @ a467 )
| ( c2_1 @ a467 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a467 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl328]) ).
thf('213',plain,
( ( c2_1 @ a467 )
| ~ ( c3_1 @ a467 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c0_1 @ a467 ) ),
inference(split,[status(esa)],[zip_derived_cl1706]) ).
thf(zip_derived_cl32911,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']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN448+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9VGxLHoU5D true
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:33:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 27.95/4.61 % Solved by fo/fo1_av.sh.
% 27.95/4.61 % done 6435 iterations in 3.811s
% 27.95/4.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 27.95/4.61 % SZS output start Refutation
% See solution above
% 27.95/4.62
% 27.95/4.62
% 27.95/4.62 % Terminating...
% 28.40/4.69 % Runner terminated.
% 28.40/4.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------