TSTP Solution File: SYN510+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V9CrvcDpin true
% Computer : n001.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 04:04:19 EDT 2023
% Result : Theorem 7.52s 1.67s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 70
% Syntax : Number of formulae : 490 ( 1 unt; 69 typ; 0 def)
% Number of atoms : 3333 ( 0 equ; 0 cnn)
% Maximal formula atoms : 720 ( 7 avg)
% Number of connectives : 7025 (1699 ~;2044 |; 479 &;2414 @)
% ( 0 <=>; 214 =>; 175 <=; 0 <~>)
% Maximal formula depth : 115 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 69 usr; 66 con; 0-1 aty)
% Number of variables : 557 ( 0 ^; 557 !; 0 ?; 557 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a539_type,type,
a539: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a562_type,type,
a562: $i ).
thf(a553_type,type,
a553: $i ).
thf(a587_type,type,
a587: $i ).
thf(a541_type,type,
a541: $i ).
thf(a570_type,type,
a570: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a536_type,type,
a536: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a546_type,type,
a546: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a537_type,type,
a537: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a540_type,type,
a540: $i ).
thf(a576_type,type,
a576: $i ).
thf(a584_type,type,
a584: $i ).
thf(a552_type,type,
a552: $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(a551_type,type,
a551: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a563_type,type,
a563: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a549_type,type,
a549: $i ).
thf(a564_type,type,
a564: $i ).
thf(a573_type,type,
a573: $i ).
thf(a582_type,type,
a582: $i ).
thf(a604_type,type,
a604: $i ).
thf(a571_type,type,
a571: $i ).
thf(a567_type,type,
a567: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a580_type,type,
a580: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a547_type,type,
a547: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a594_type,type,
a594: $i ).
thf(a548_type,type,
a548: $i ).
thf(a565_type,type,
a565: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a566_type,type,
a566: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a544_type,type,
a544: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a590_type,type,
a590: $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(a538_type,type,
a538: $i ).
thf(a615_type,type,
a615: $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 @ a536 )
& ( c2_1 @ a536 )
& ~ ( c3_1 @ a536 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a537 )
& ~ ( c1_1 @ a537 )
& ~ ( c3_1 @ a537 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a538 )
& ~ ( c2_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a539 )
& ~ ( c2_1 @ a539 )
& ~ ( c3_1 @ a539 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a544 )
& ( c1_1 @ a544 )
& ~ ( c3_1 @ a544 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c3_1 @ a546 )
& ~ ( c0_1 @ a546 )
& ~ ( c1_1 @ a546 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a547 )
& ~ ( c0_1 @ a547 )
& ~ ( c3_1 @ a547 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a548 )
& ( c2_1 @ a548 )
& ~ ( c0_1 @ a548 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a549 )
& ~ ( c1_1 @ a549 )
& ~ ( c2_1 @ a549 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a551 )
& ( c3_1 @ a551 )
& ~ ( c0_1 @ a551 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c1_1 @ a553 )
& ( c3_1 @ a553 )
& ~ ( c2_1 @ a553 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a564 )
& ( c3_1 @ a564 )
& ~ ( c1_1 @ a564 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a565 )
& ( c3_1 @ a565 )
& ~ ( c2_1 @ a565 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a566 )
& ( c3_1 @ a566 )
& ~ ( c0_1 @ a566 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a567 )
& ( c1_1 @ a567 )
& ~ ( c2_1 @ a567 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a570 )
& ~ ( c2_1 @ a570 )
& ~ ( c3_1 @ a570 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a571 )
& ~ ( c1_1 @ a571 )
& ~ ( c2_1 @ a571 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a573 )
& ~ ( c1_1 @ a573 )
& ~ ( c3_1 @ a573 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a576 )
& ~ ( c1_1 @ a576 )
& ~ ( c3_1 @ a576 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a580 )
& ~ ( c0_1 @ a580 )
& ~ ( c3_1 @ a580 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a582 )
& ( c3_1 @ a582 )
& ~ ( c1_1 @ a582 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a584 )
& ~ ( c0_1 @ a584 )
& ~ ( c2_1 @ a584 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a587 )
& ~ ( c2_1 @ a587 )
& ~ ( c3_1 @ a587 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a590 )
& ~ ( c0_1 @ a590 )
& ~ ( c2_1 @ a590 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a594 )
& ~ ( c0_1 @ a594 )
& ~ ( c1_1 @ a594 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a604 )
& ( c2_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c2_1 @ a615 )
& ~ ( c1_1 @ a615 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ( c2_1 @ a541 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a552 )
& ( c2_1 @ a552 )
& ( c3_1 @ a552 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a562 )
& ( c2_1 @ a562 )
& ( c3_1 @ a562 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a563 )
& ( c1_1 @ a563 )
& ( c3_1 @ a563 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c3_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c1_1 @ X )
| ~ ( c0_1 @ X )
| ~ ( c3_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c2_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ Z )
| ~ ( c1_1 @ Z )
| ~ ( c2_1 @ Z ) ) )
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c1_1 @ X2 )
| ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp3 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ) )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c3_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| hskp28
| hskp2 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c2_1 @ X13 ) ) )
| hskp1 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| hskp5
| hskp2 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ( c3_1 @ X15 ) ) )
| ! [X16: $i] :
( ndr1_0
=> ( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp6 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) ) )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c2_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp7 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ( c3_1 @ X22 ) ) )
| hskp8
| hskp9 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) ) )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp8
| hskp10 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| hskp29
| hskp11 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp11 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c1_1 @ X36 ) ) )
| hskp11
| hskp9 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp0 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp10
| hskp9 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 ) ) )
| hskp6 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp0
| hskp30 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ) )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) )
| hskp31 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c2_1 @ X49 ) ) )
| hskp12 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c0_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp13
| hskp14 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c2_1 @ X51 )
| ( c3_1 @ X51 ) ) )
| hskp15
| hskp2 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ( c2_1 @ X52 )
| ( c3_1 @ X52 ) ) )
| hskp3
| hskp16 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ~ ( c0_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| hskp17 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c0_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c3_1 @ X56 )
| ~ ( c0_1 @ X56 )
| ~ ( c1_1 @ X56 ) ) )
| hskp12 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| hskp18 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| hskp12
| hskp11 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp19
| hskp9 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) )
| hskp13 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| hskp13
| hskp20 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c3_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) )
| hskp29
| hskp21 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ~ ( c0_1 @ X65 )
| ~ ( c2_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp19 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) )
| hskp22 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c1_1 @ X70 ) ) )
| hskp7 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp3 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp23 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ( c3_1 @ X77 )
| ~ ( c0_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) ) )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c2_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) ) )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ( c3_1 @ X80 )
| ~ ( c0_1 @ X80 ) ) )
| hskp21
| hskp22 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp24 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c2_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp14 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ( c3_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp3
| hskp6 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c2_1 @ X86 )
| ( c3_1 @ X86 )
| ~ ( c1_1 @ X86 ) ) )
| hskp25
| hskp4 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) )
| hskp15
| hskp0 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c2_1 @ X88 )
| ~ ( c1_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp3
| hskp6 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c3_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| hskp12
| hskp21 )
& ( ! [X90: $i] :
( ndr1_0
=> ( ( c3_1 @ X90 )
| ~ ( c0_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) )
| hskp30
| hskp7 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c2_1 @ X91 ) ) )
| hskp26
| hskp24 )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c3_1 @ X92 )
| ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) )
| hskp14
| hskp21 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c3_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c2_1 @ X93 ) ) )
| hskp25
| hskp9 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| hskp5
| hskp4 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X95 )
| ~ ( c1_1 @ X95 )
| ~ ( c2_1 @ X95 ) ) )
| hskp26
| hskp14 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 )
| ~ ( c3_1 @ X96 ) ) )
| ! [X97: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp14 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp27
| hskp26 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp26
| hskp4 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X100 )
| ~ ( c2_1 @ X100 )
| ~ ( c3_1 @ X100 ) ) )
| hskp10
| hskp14 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ( c3_1 @ X101 ) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a536 )
& ( c2_1 @ a536 )
& ~ ( c3_1 @ a536 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a537 )
& ~ ( c1_1 @ a537 )
& ~ ( c3_1 @ a537 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a538 )
& ~ ( c2_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a539 )
& ~ ( c2_1 @ a539 )
& ~ ( c3_1 @ a539 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a544 )
& ( c1_1 @ a544 )
& ~ ( c3_1 @ a544 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c3_1 @ a546 )
& ~ ( c0_1 @ a546 )
& ~ ( c1_1 @ a546 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a547 )
& ~ ( c0_1 @ a547 )
& ~ ( c3_1 @ a547 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a548 )
& ( c2_1 @ a548 )
& ~ ( c0_1 @ a548 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a549 )
& ~ ( c1_1 @ a549 )
& ~ ( c2_1 @ a549 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a551 )
& ( c3_1 @ a551 )
& ~ ( c0_1 @ a551 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c1_1 @ a553 )
& ( c3_1 @ a553 )
& ~ ( c2_1 @ a553 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a564 )
& ( c3_1 @ a564 )
& ~ ( c1_1 @ a564 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a565 )
& ( c3_1 @ a565 )
& ~ ( c2_1 @ a565 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a566 )
& ( c3_1 @ a566 )
& ~ ( c0_1 @ a566 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a567 )
& ( c1_1 @ a567 )
& ~ ( c2_1 @ a567 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a570 )
& ~ ( c2_1 @ a570 )
& ~ ( c3_1 @ a570 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a571 )
& ~ ( c1_1 @ a571 )
& ~ ( c2_1 @ a571 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a573 )
& ~ ( c1_1 @ a573 )
& ~ ( c3_1 @ a573 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a576 )
& ~ ( c1_1 @ a576 )
& ~ ( c3_1 @ a576 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a580 )
& ~ ( c0_1 @ a580 )
& ~ ( c3_1 @ a580 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a582 )
& ( c3_1 @ a582 )
& ~ ( c1_1 @ a582 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a584 )
& ~ ( c0_1 @ a584 )
& ~ ( c2_1 @ a584 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a587 )
& ~ ( c2_1 @ a587 )
& ~ ( c3_1 @ a587 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a590 )
& ~ ( c0_1 @ a590 )
& ~ ( c2_1 @ a590 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a594 )
& ~ ( c0_1 @ a594 )
& ~ ( c1_1 @ a594 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a604 )
& ( c2_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c2_1 @ a615 )
& ~ ( c1_1 @ a615 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ( c2_1 @ a541 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a552 )
& ( c2_1 @ a552 )
& ( c3_1 @ a552 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a562 )
& ( c2_1 @ a562 )
& ( c3_1 @ a562 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a563 )
& ( c1_1 @ a563 )
& ( c3_1 @ a563 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c3_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c1_1 @ X )
| ~ ( c0_1 @ X )
| ~ ( c3_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c2_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ Z )
| ~ ( c1_1 @ Z )
| ~ ( c2_1 @ Z ) ) )
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c1_1 @ X2 )
| ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp3 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ) )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c3_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| hskp28
| hskp2 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c2_1 @ X13 ) ) )
| hskp1 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| hskp5
| hskp2 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ( c3_1 @ X15 ) ) )
| ! [X16: $i] :
( ndr1_0
=> ( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp6 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) ) )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c2_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp7 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ( c3_1 @ X22 ) ) )
| hskp8
| hskp9 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c0_1 @ X25 ) ) ) )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) ) )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp8
| hskp10 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| hskp29
| hskp11 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp11 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c1_1 @ X36 ) ) )
| hskp11
| hskp9 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp0 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp10
| hskp9 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 ) ) )
| hskp6 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp0
| hskp30 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ) )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) )
| hskp31 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c2_1 @ X49 ) ) )
| hskp12 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c0_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp13
| hskp14 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c2_1 @ X51 )
| ( c3_1 @ X51 ) ) )
| hskp15
| hskp2 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ( c2_1 @ X52 )
| ( c3_1 @ X52 ) ) )
| hskp3
| hskp16 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ~ ( c0_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| hskp17 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c0_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c3_1 @ X56 )
| ~ ( c0_1 @ X56 )
| ~ ( c1_1 @ X56 ) ) )
| hskp12 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c3_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| hskp18 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| hskp12
| hskp11 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp19
| hskp9 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) )
| hskp13 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| hskp13
| hskp20 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c3_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) )
| hskp29
| hskp21 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ~ ( c0_1 @ X65 )
| ~ ( c2_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp19 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) )
| hskp22 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c1_1 @ X70 ) ) )
| hskp7 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp3 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp23 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ( c3_1 @ X77 )
| ~ ( c0_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) ) )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c2_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) ) )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ( c3_1 @ X80 )
| ~ ( c0_1 @ X80 ) ) )
| hskp21
| hskp22 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp24 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c2_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp14 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ( c3_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp3
| hskp6 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c2_1 @ X86 )
| ( c3_1 @ X86 )
| ~ ( c1_1 @ X86 ) ) )
| hskp25
| hskp4 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) )
| hskp15
| hskp0 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c2_1 @ X88 )
| ~ ( c1_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp3
| hskp6 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c3_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| hskp12
| hskp21 )
& ( ! [X90: $i] :
( ndr1_0
=> ( ( c3_1 @ X90 )
| ~ ( c0_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) )
| hskp30
| hskp7 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c2_1 @ X91 ) ) )
| hskp26
| hskp24 )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c3_1 @ X92 )
| ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) )
| hskp14
| hskp21 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c3_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c2_1 @ X93 ) ) )
| hskp25
| hskp9 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| hskp5
| hskp4 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X95 )
| ~ ( c1_1 @ X95 )
| ~ ( c2_1 @ X95 ) ) )
| hskp26
| hskp14 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 )
| ~ ( c3_1 @ X96 ) ) )
| ! [X97: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp14 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp27
| hskp26 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp26
| hskp4 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X100 )
| ~ ( c2_1 @ X100 )
| ~ ( c3_1 @ X100 ) ) )
| hskp10
| hskp14 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ( c3_1 @ X101 ) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl40,plain,
! [X35: $i,X36: $i] :
( ( c1_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ndr1_0
| ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 )
| ~ ndr1_0
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl352,plain,
( ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
<= ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl159,plain,
( ~ hskp12
| ~ ( c1_1 @ a564 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl670,plain,
( ~ ( c1_1 @ a564 )
<= ~ ( c1_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1275,plain,
( ( ~ ( c3_1 @ a564 )
| ~ ( c2_1 @ a564 ) )
<= ( ~ ( c1_1 @ a564 )
& ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl670]) ).
thf('0',plain,
( ~ ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
| ~ ( c2_1 @ a564 )
| ~ ( c3_1 @ a564 )
| ( c1_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl1275]) ).
thf(zip_derived_cl58,plain,
! [X63: $i,X64: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ndr1_0
| ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl424,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl35,plain,
! [X24: $i,X25: $i,X26: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 )
| ~ ndr1_0
| ( c2_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ( c3_1 @ X25 )
| ~ ndr1_0
| ( c3_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl107,plain,
( ~ hskp25
| ~ ( c1_1 @ a594 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl566,plain,
( ~ ( c1_1 @ a594 )
<= ~ ( c1_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1019,plain,
( ( ~ ( c3_1 @ a594 )
| ~ ( c0_1 @ a594 ) )
<= ( ~ ( c1_1 @ a594 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl566]) ).
thf(zip_derived_cl1347,plain,
( ~ ( c3_1 @ a594 )
<= ~ ( c3_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1019]) ).
thf(zip_derived_cl1773,plain,
( ( ~ ( c2_1 @ a594 )
| ( c0_1 @ a594 ) )
<= ( ~ ( c3_1 @ a594 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl1347]) ).
thf('1',plain,
( ( c3_1 @ a594 )
| ( c0_1 @ a594 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1773]) ).
thf(zip_derived_cl334_001,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl99,plain,
( ~ hskp27
| ~ ( c1_1 @ a615 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl550,plain,
( ~ ( c1_1 @ a615 )
<= ~ ( c1_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1020,plain,
( ( ~ ( c3_1 @ a615 )
| ~ ( c0_1 @ a615 ) )
<= ( ~ ( c1_1 @ a615 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl550]) ).
thf(zip_derived_cl1353,plain,
( ~ ( c3_1 @ a615 )
<= ~ ( c3_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl1020]) ).
thf(zip_derived_cl22,plain,
! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ndr1_0
| hskp25
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl281,plain,
( ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
<= ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1355,plain,
( ( ~ ( c0_1 @ a615 )
| ~ ( c2_1 @ a615 ) )
<= ( ~ ( c3_1 @ a615 )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1353,zip_derived_cl281]) ).
thf('2',plain,
( ( c3_1 @ a615 )
| ~ ( c0_1 @ a615 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ( c2_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl1355]) ).
thf(zip_derived_cl36,plain,
! [X27: $i,X28: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ndr1_0
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ndr1_0
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl337,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl550_002,plain,
( ~ ( c1_1 @ a615 )
<= ~ ( c1_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1066,plain,
( ( ~ ( c2_1 @ a615 )
| ~ ( c0_1 @ a615 ) )
<= ( ~ ( c1_1 @ a615 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl550]) ).
thf('3',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c0_1 @ a615 )
| ~ ( c2_1 @ a615 )
| ( c1_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl1066]) ).
thf('4',plain,
( ~ ( c1_1 @ a615 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl352_003,plain,
( ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
<= ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl550_004,plain,
( ~ ( c1_1 @ a615 )
<= ~ ( c1_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1281,plain,
( ( ~ ( c3_1 @ a615 )
| ~ ( c2_1 @ a615 ) )
<= ( ~ ( c1_1 @ a615 )
& ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl550]) ).
thf('5',plain,
( ~ ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
| ~ ( c3_1 @ a615 )
| ~ ( c2_1 @ a615 )
| ( c1_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl1281]) ).
thf('6',plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| hskp0
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl281_005,plain,
( ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
<= ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl131,plain,
( ~ hskp19
| ~ ( c3_1 @ a576 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
( ~ ( c3_1 @ a576 )
<= ~ ( c3_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl831,plain,
( ( ~ ( c2_1 @ a576 )
| ~ ( c0_1 @ a576 ) )
<= ( ~ ( c3_1 @ a576 )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl614]) ).
thf('7',plain,
( ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ( c0_1 @ a576 )
| ( c3_1 @ a576 )
| ~ ( c2_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl831]) ).
thf(zip_derived_cl153,plain,
( ~ hskp13
| ( c0_1 @ a565 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( c0_1 @ a565 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp13
| ( c3_1 @ a565 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ( c3_1 @ a565 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp13
| ~ ( c2_1 @ a565 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ~ ( c2_1 @ a565 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl43,plain,
! [X39: $i,X40: $i] :
( ( c1_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ndr1_0
| ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ndr1_0
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( hskp13
| ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl82,plain,
( ~ hskp31
| ( c1_1 @ a563 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl516,plain,
( ( c1_1 @ a563 )
<= ( c1_1 @ a563 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl20,plain,
! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 )
| ~ ndr1_0
| hskp26
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
<= ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl949,plain,
( ( ~ ( c0_1 @ a563 )
| ~ ( c2_1 @ a563 ) )
<= ( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
& ( c1_1 @ a563 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl273]) ).
thf('12',plain,
( ~ ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ( c2_1 @ a563 )
| ~ ( c0_1 @ a563 )
| ~ ( c1_1 @ a563 ) ),
inference(split,[status(esa)],[zip_derived_cl949]) ).
thf(zip_derived_cl516_006,plain,
( ( c1_1 @ a563 )
<= ( c1_1 @ a563 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl27,plain,
! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| hskp3
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl951,plain,
( ( ( c2_1 @ a563 )
| ~ ( c3_1 @ a563 ) )
<= ( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ( c1_1 @ a563 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl301]) ).
thf('13',plain,
( ( c2_1 @ a563 )
| ~ ( c3_1 @ a563 )
| ~ ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ( c1_1 @ a563 ) ),
inference(split,[status(esa)],[zip_derived_cl951]) ).
thf(zip_derived_cl81,plain,
( ~ hskp31
| ( c0_1 @ a563 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ( c0_1 @ a563 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf('15',plain,
( ( c1_1 @ a563 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp31
| ( c3_1 @ a563 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ( c3_1 @ a563 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl53,plain,
! [X54: $i,X55: $i] :
( ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 )
| ~ ndr1_0
| ( c1_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ndr1_0
| hskp31 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( hskp31
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl54,plain,
! [X56: $i,X57: $i,X58: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 )
| ~ ndr1_0
| ( c1_1 @ X57 )
| ( c3_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ndr1_0
| ( c2_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c3_1 @ X58 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
| ~ ndr1_0
| ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl337_007,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl130,plain,
( ~ hskp19
| ~ ( c1_1 @ a576 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl612,plain,
( ~ ( c1_1 @ a576 )
<= ~ ( c1_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl1063,plain,
( ( ~ ( c2_1 @ a576 )
| ~ ( c0_1 @ a576 ) )
<= ( ~ ( c1_1 @ a576 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl612]) ).
thf('19',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c2_1 @ a576 )
| ~ ( c0_1 @ a576 )
| ( c1_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl1063]) ).
thf(zip_derived_cl42,plain,
! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ndr1_0
| hskp13
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl360,plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) )
<= ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl612_008,plain,
( ~ ( c1_1 @ a576 )
<= ~ ( c1_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl1465,plain,
( ( ~ ( c0_1 @ a576 )
| ( c3_1 @ a576 ) )
<= ( ~ ( c1_1 @ a576 )
& ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl360,zip_derived_cl612]) ).
thf('20',plain,
( ~ ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) )
| ~ ( c0_1 @ a576 )
| ( c1_1 @ a576 )
| ( c3_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl1465]) ).
thf(zip_derived_cl41,plain,
! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 )
| ~ ndr1_0
| hskp29
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl356,plain,
( ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
<= ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl612_009,plain,
( ~ ( c1_1 @ a576 )
<= ~ ( c1_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl1391,plain,
( ( ~ ( c2_1 @ a576 )
| ( c3_1 @ a576 ) )
<= ( ~ ( c1_1 @ a576 )
& ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl612]) ).
thf('21',plain,
( ~ ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
| ( c1_1 @ a576 )
| ( c3_1 @ a576 )
| ~ ( c2_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl1391]) ).
thf(zip_derived_cl33,plain,
! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ndr1_0
| hskp21
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl325,plain,
( ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
<= ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl614_010,plain,
( ~ ( c3_1 @ a576 )
<= ~ ( c3_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl921,plain,
( ( ~ ( c0_1 @ a576 )
| ( c2_1 @ a576 ) )
<= ( ~ ( c3_1 @ a576 )
& ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl614]) ).
thf('22',plain,
( ( c2_1 @ a576 )
| ( c3_1 @ a576 )
| ~ ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
| ~ ( c0_1 @ a576 ) ),
inference(split,[status(esa)],[zip_derived_cl921]) ).
thf(zip_derived_cl158,plain,
( ~ hskp12
| ( c3_1 @ a564 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl668,plain,
( ( c3_1 @ a564 )
<= ( c3_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl16,plain,
! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp10
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1141,plain,
( ( ~ ( c0_1 @ a564 )
| ~ ( c2_1 @ a564 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a564 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl257]) ).
thf('23',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c2_1 @ a564 )
| ~ ( c0_1 @ a564 )
| ~ ( c3_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl1141]) ).
thf(zip_derived_cl64,plain,
! [X73: $i,X74: $i,X75: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ndr1_0
| ( c0_1 @ X74 )
| ~ ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 )
| ~ ndr1_0
| ~ ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 ) )
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl64]) ).
thf(zip_derived_cl161,plain,
( ~ hskp11
| ( c1_1 @ a553 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl674,plain,
( ( c1_1 @ a553 )
<= ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl63,plain,
! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ndr1_0
| hskp8
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl444,plain,
( ! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 ) )
<= ! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl1717,plain,
( ( ( c0_1 @ a553 )
| ( c2_1 @ a553 ) )
<= ( ! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 ) )
& ( c1_1 @ a553 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl444]) ).
thf('25',plain,
( ( c0_1 @ a553 )
| ( c2_1 @ a553 )
| ~ ! [X72: $i] :
( ( c0_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 ) )
| ~ ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl1717]) ).
thf(zip_derived_cl163,plain,
( ~ hskp11
| ~ ( c2_1 @ a553 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ~ ( c2_1 @ a553 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl72,plain,
! [X90: $i,X91: $i,X92: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ndr1_0
| ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ~ ( c3_1 @ X91 )
| ~ ndr1_0
| ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl482,plain,
( ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) )
<= ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl566_011,plain,
( ~ ( c1_1 @ a594 )
<= ~ ( c1_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1939,plain,
( ( ~ ( c2_1 @ a594 )
| ( c0_1 @ a594 ) )
<= ( ~ ( c1_1 @ a594 )
& ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl566]) ).
thf('27',plain,
( ~ ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) )
| ( c0_1 @ a594 )
| ( c1_1 @ a594 )
| ~ ( c2_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1939]) ).
thf(zip_derived_cl70,plain,
! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 )
| ~ ndr1_0
| hskp5
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl472,plain,
( ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
<= ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl566_012,plain,
( ~ ( c1_1 @ a594 )
<= ~ ( c1_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1829,plain,
( ( ~ ( c3_1 @ a594 )
| ( c0_1 @ a594 ) )
<= ( ~ ( c1_1 @ a594 )
& ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl566]) ).
thf('28',plain,
( ~ ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
| ~ ( c3_1 @ a594 )
| ( c0_1 @ a594 )
| ( c1_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1829]) ).
thf(zip_derived_cl85,plain,
( ~ hskp30
| ( c1_1 @ a562 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl522,plain,
( ( c1_1 @ a562 )
<= ( c1_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp20
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl971,plain,
( ( ~ ( c2_1 @ a562 )
| ~ ( c3_1 @ a562 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c1_1 @ a562 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl253]) ).
thf('29',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a562 )
| ~ ( c3_1 @ a562 )
| ~ ( c2_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl971]) ).
thf(zip_derived_cl129,plain,
( ~ hskp19
| ( c0_1 @ a576 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('30',plain,
( ( c0_1 @ a576 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf('31',plain,
( ~ ( c1_1 @ a576 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('32',plain,
( ~ ( c3_1 @ a576 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl660,plain,
( ( c3_1 @ a565 )
<= ( c3_1 @ a565 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl28,plain,
! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 )
| ~ ndr1_0
| hskp15
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl305,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1140,plain,
( ( ( c2_1 @ a565 )
| ~ ( c0_1 @ a565 ) )
<= ( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ( c3_1 @ a565 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl660,zip_derived_cl305]) ).
thf('33',plain,
( ~ ( c0_1 @ a565 )
| ~ ( c3_1 @ a565 )
| ~ ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ( c2_1 @ a565 ) ),
inference(split,[status(esa)],[zip_derived_cl1140]) ).
thf(zip_derived_cl165,plain,
( ~ hskp10
| ( c1_1 @ a551 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl682,plain,
( ( c1_1 @ a551 )
<= ( c1_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl301_013,plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1184,plain,
( ( ( c2_1 @ a551 )
| ~ ( c3_1 @ a551 ) )
<= ( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ( c1_1 @ a551 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl301]) ).
thf('34',plain,
( ~ ( c1_1 @ a551 )
| ( c2_1 @ a551 )
| ~ ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ( c3_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl1184]) ).
thf(zip_derived_cl166,plain,
( ~ hskp10
| ( c3_1 @ a551 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl684,plain,
( ( c3_1 @ a551 )
<= ( c3_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl51,plain,
! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 )
| ~ ndr1_0
| hskp13
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl396,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_cl51]) ).
thf(zip_derived_cl1329,plain,
( ( ( c0_1 @ a551 )
| ~ ( c2_1 @ a551 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a551 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl684,zip_derived_cl396]) ).
thf('35',plain,
( ~ ( c2_1 @ a551 )
| ( c0_1 @ a551 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ( c3_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl1329]) ).
thf(zip_derived_cl193,plain,
( ~ hskp3
| ( c0_1 @ a539 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('36',plain,
( ( c0_1 @ a539 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl194,plain,
( ~ hskp3
| ~ ( c2_1 @ a539 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('37',plain,
( ~ ( c2_1 @ a539 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl195,plain,
( ~ hskp3
| ~ ( c3_1 @ a539 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('38',plain,
( ~ ( c3_1 @ a539 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl325_014,plain,
( ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
<= ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl742,plain,
( ~ ( c3_1 @ a539 )
<= ~ ( c3_1 @ a539 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl916,plain,
( ( ~ ( c0_1 @ a539 )
| ( c2_1 @ a539 ) )
<= ( ~ ( c3_1 @ a539 )
& ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl742]) ).
thf('39',plain,
( ( c2_1 @ a539 )
| ( c3_1 @ a539 )
| ~ ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
| ~ ( c0_1 @ a539 ) ),
inference(split,[status(esa)],[zip_derived_cl916]) ).
thf(zip_derived_cl34,plain,
! [X22: $i,X23: $i] :
( ( c2_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ndr1_0
| ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('41',plain,
( ( c1_1 @ a562 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('42',plain,
( ( c1_1 @ a551 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl167,plain,
( ~ hskp10
| ~ ( c0_1 @ a551 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('43',plain,
( ~ ( c0_1 @ a551 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl682_015,plain,
( ( c1_1 @ a551 )
<= ( c1_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl55,plain,
! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0
| hskp0
| hskp30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl412,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1426,plain,
( ( ( c0_1 @ a551 )
| ~ ( c3_1 @ a551 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c1_1 @ a551 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl412]) ).
thf('44',plain,
( ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ~ ( c1_1 @ a551 )
| ( c0_1 @ a551 )
| ~ ( c3_1 @ a551 ) ),
inference(split,[status(esa)],[zip_derived_cl1426]) ).
thf('45',plain,
( ( c3_1 @ a551 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf('46',plain,
( hskp10
| hskp14
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X4: $i,X5: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 )
| ~ ndr1_0
| ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 )
| ~ ndr1_0
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('47',plain,
( hskp14
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl522_016,plain,
( ( c1_1 @ a562 )
<= ( c1_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl18,plain,
! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 )
| ~ ndr1_0
| hskp27
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl265,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl972,plain,
( ( ~ ( c0_1 @ a562 )
| ~ ( c3_1 @ a562 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
& ( c1_1 @ a562 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl265]) ).
thf('48',plain,
( ~ ( c0_1 @ a562 )
| ~ ( c1_1 @ a562 )
| ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ( c3_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl972]) ).
thf(zip_derived_cl205,plain,
( ~ hskp0
| ( c0_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('49',plain,
( ( c0_1 @ a536 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl205]) ).
thf(zip_derived_cl206,plain,
( ~ hskp0
| ( c2_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('50',plain,
( ( c2_1 @ a536 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl206]) ).
thf(zip_derived_cl207,plain,
( ~ hskp0
| ~ ( c3_1 @ a536 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('51',plain,
( ~ ( c3_1 @ a536 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl281_017,plain,
( ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
<= ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl766,plain,
( ~ ( c3_1 @ a536 )
<= ~ ( c3_1 @ a536 ) ),
inference(split,[status(esa)],[zip_derived_cl207]) ).
thf(zip_derived_cl823,plain,
( ( ~ ( c2_1 @ a536 )
| ~ ( c0_1 @ a536 ) )
<= ( ~ ( c3_1 @ a536 )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl766]) ).
thf('52',plain,
( ~ ( c0_1 @ a536 )
| ( c3_1 @ a536 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ( c2_1 @ a536 ) ),
inference(split,[status(esa)],[zip_derived_cl823]) ).
thf(zip_derived_cl23,plain,
! [X9: $i] :
( ( c3_1 @ X9 )
| ~ ( c0_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ndr1_0
| hskp14
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('53',plain,
( hskp14
| hskp21
| ~ ndr1_0
| ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl86,plain,
( ~ hskp30
| ( c2_1 @ a562 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ( c2_1 @ a562 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp30
| ( c3_1 @ a562 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('55',plain,
( ( c3_1 @ a562 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf('56',plain,
( hskp30
| ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| hskp0
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl674_018,plain,
( ( c1_1 @ a553 )
<= ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl412_019,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl1427,plain,
( ( ( c0_1 @ a553 )
| ~ ( c3_1 @ a553 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c1_1 @ a553 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl412]) ).
thf('57',plain,
( ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ( c0_1 @ a553 )
| ~ ( c3_1 @ a553 )
| ~ ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl1427]) ).
thf(zip_derived_cl674_020,plain,
( ( c1_1 @ a553 )
<= ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl265_021,plain,
( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
<= ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1144,plain,
( ( ~ ( c0_1 @ a553 )
| ~ ( c3_1 @ a553 ) )
<= ( ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
& ( c1_1 @ a553 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl674,zip_derived_cl265]) ).
thf('58',plain,
( ~ ( c0_1 @ a553 )
| ~ ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ( c3_1 @ a553 )
| ~ ( c1_1 @ a553 ) ),
inference(split,[status(esa)],[zip_derived_cl1144]) ).
thf(zip_derived_cl356_022,plain,
( ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
<= ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl134,plain,
( ~ hskp18
| ~ ( c1_1 @ a573 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl620,plain,
( ~ ( c1_1 @ a573 )
<= ~ ( c1_1 @ a573 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1390,plain,
( ( ~ ( c2_1 @ a573 )
| ( c3_1 @ a573 ) )
<= ( ~ ( c1_1 @ a573 )
& ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl620]) ).
thf('59',plain,
( ~ ( c2_1 @ a573 )
| ( c3_1 @ a573 )
| ~ ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
| ( c1_1 @ a573 ) ),
inference(split,[status(esa)],[zip_derived_cl1390]) ).
thf(zip_derived_cl133,plain,
( ~ hskp18
| ~ ( c0_1 @ a573 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ~ ( c0_1 @ a573 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf('61',plain,
( ~ ( c1_1 @ a573 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp18
| ~ ( c3_1 @ a573 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( ~ ( c3_1 @ a573 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl46,plain,
! [X43: $i,X44: $i] :
( ( c1_1 @ X43 )
| ( c2_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ndr1_0
| ( c3_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 )
| ~ ndr1_0
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('63',plain,
( hskp18
| ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ndr1_0
| ! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl101,plain,
( ~ hskp26
| ( c1_1 @ a604 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl554,plain,
( ( c1_1 @ a604 )
<= ( c1_1 @ a604 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl21,plain,
! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 )
| ~ ndr1_0
| hskp5
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1086,plain,
( ( ( c3_1 @ a604 )
| ~ ( c2_1 @ a604 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ( c1_1 @ a604 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl277]) ).
thf('64',plain,
( ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ( c1_1 @ a604 )
| ~ ( c2_1 @ a604 )
| ( c3_1 @ a604 ) ),
inference(split,[status(esa)],[zip_derived_cl1086]) ).
thf('65',plain,
( ( c1_1 @ a604 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp26
| ( c2_1 @ a604 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( ( c2_1 @ a604 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp26
| ~ ( c3_1 @ a604 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ~ ( c3_1 @ a604 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl68,plain,
! [X82: $i,X83: $i,X84: $i] :
( ( c0_1 @ X82 )
| ( c2_1 @ X82 )
| ( c3_1 @ X82 )
| ~ ndr1_0
| ( c2_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c1_1 @ X83 )
| ~ ndr1_0
| ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('68',plain,
( ! [X32: $i] :
( ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 ) )
| ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 ) )
| ~ ndr1_0
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf('69',plain,
( hskp26
| hskp27
| ~ ndr1_0
| ! [X3: $i] :
( ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl66,plain,
! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ndr1_0
| hskp8
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl456,plain,
( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 ) )
<= ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl622,plain,
( ~ ( c3_1 @ a573 )
<= ~ ( c3_1 @ a573 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl1988,plain,
( ( ( c2_1 @ a573 )
| ( c0_1 @ a573 ) )
<= ( ~ ( c3_1 @ a573 )
& ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl622]) ).
thf('70',plain,
( ( c2_1 @ a573 )
| ( c0_1 @ a573 )
| ~ ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ( c3_1 @ X79 ) )
| ( c3_1 @ a573 ) ),
inference(split,[status(esa)],[zip_derived_cl1988]) ).
thf(zip_derived_cl45,plain,
! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 )
| ~ ndr1_0
| hskp12
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl372,plain,
( ! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) )
<= ! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl190,plain,
( ~ hskp4
| ~ ( c1_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl732,plain,
( ~ ( c1_1 @ a540 )
<= ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl1647,plain,
( ( ~ ( c0_1 @ a540 )
| ( c2_1 @ a540 ) )
<= ( ~ ( c1_1 @ a540 )
& ! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl372,zip_derived_cl732]) ).
thf('71',plain,
( ~ ! [X42: $i] :
( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) )
| ~ ( c0_1 @ a540 )
| ( c1_1 @ a540 )
| ( c2_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1647]) ).
thf(zip_derived_cl77,plain,
! [X101: $i,X102: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 )
| ~ ndr1_0
| ~ ( c0_1 @ X102 )
| ~ ( c1_1 @ X102 )
| ~ ( c2_1 @ X102 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl501,plain,
( ! [X101: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 ) )
<= ! [X101: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 ) ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl732_023,plain,
( ~ ( c1_1 @ a540 )
<= ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl2106,plain,
( ( ( c2_1 @ a540 )
| ( c0_1 @ a540 ) )
<= ( ~ ( c1_1 @ a540 )
& ! [X101: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl732]) ).
thf('72',plain,
( ~ ! [X101: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 ) )
| ( c0_1 @ a540 )
| ( c2_1 @ a540 )
| ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl2106]) ).
thf(zip_derived_cl472_024,plain,
( ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
<= ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl732_025,plain,
( ~ ( c1_1 @ a540 )
<= ~ ( c1_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl1821,plain,
( ( ~ ( c3_1 @ a540 )
| ( c0_1 @ a540 ) )
<= ( ~ ( c1_1 @ a540 )
& ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl732]) ).
thf('73',plain,
( ~ ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
| ( c0_1 @ a540 )
| ( c1_1 @ a540 )
| ~ ( c3_1 @ a540 ) ),
inference(split,[status(esa)],[zip_derived_cl1821]) ).
thf(zip_derived_cl79,plain,
! [X105: $i,X106: $i] :
( ( c0_1 @ X105 )
| ( c1_1 @ X105 )
| ( c2_1 @ X105 )
| ~ ndr1_0
| ( c0_1 @ X106 )
| ( c1_1 @ X106 )
| ~ ( c3_1 @ X106 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ! [X101: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 ) )
| ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
| ~ ndr1_0
| hskp0 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl189,plain,
( ~ hskp4
| ( c3_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('75',plain,
( ( c3_1 @ a540 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf('76',plain,
( ~ ( c1_1 @ a540 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl191,plain,
( ~ hskp4
| ~ ( c2_1 @ a540 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( ~ ( c2_1 @ a540 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl29,plain,
! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ndr1_0
| hskp25
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( hskp4
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ndr1_0
| hskp25 ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl186,plain,
( ~ hskp5
| ( c1_1 @ a544 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl724,plain,
( ( c1_1 @ a544 )
<= ( c1_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl309,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1225,plain,
( ( ( c2_1 @ a544 )
| ( c3_1 @ a544 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
& ( c1_1 @ a544 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl309]) ).
thf('79',plain,
( ( c2_1 @ a544 )
| ( c3_1 @ a544 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c1_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl1225]) ).
thf(zip_derived_cl724_026,plain,
( ( c1_1 @ a544 )
<= ( c1_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl38,plain,
! [X31: $i,X32: $i] :
( ( c1_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ndr1_0
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
( ! [X32: $i] :
( ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 ) )
<= ! [X32: $i] :
( ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1226,plain,
( ( ( c2_1 @ a544 )
| ~ ( c0_1 @ a544 ) )
<= ( ! [X32: $i] :
( ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 ) )
& ( c1_1 @ a544 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl345]) ).
thf('80',plain,
( ~ ! [X32: $i] :
( ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 ) )
| ~ ( c0_1 @ a544 )
| ~ ( c1_1 @ a544 )
| ( c2_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl1226]) ).
thf(zip_derived_cl325_027,plain,
( ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
<= ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl187,plain,
( ~ hskp5
| ~ ( c3_1 @ a544 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl726,plain,
( ~ ( c3_1 @ a544 )
<= ~ ( c3_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl917,plain,
( ( ~ ( c0_1 @ a544 )
| ( c2_1 @ a544 ) )
<= ( ~ ( c3_1 @ a544 )
& ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl726]) ).
thf(zip_derived_cl1440,plain,
( ( c2_1 @ a544 )
<= ( c2_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl917]) ).
thf(zip_derived_cl281_028,plain,
( ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
<= ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl257_029,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl822,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl257]) ).
thf(zip_derived_cl847,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(zip_derived_cl1442,plain,
( ~ ( c0_1 @ a544 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
& ( c2_1 @ a544 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1440,zip_derived_cl847]) ).
thf(zip_derived_cl185,plain,
( ~ hskp5
| ( c0_1 @ a544 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl722,plain,
( ( c0_1 @ a544 )
<= ( c0_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf('81',plain,
( ~ ( c2_1 @ a544 )
| ~ ( c0_1 @ a544 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1442,zip_derived_cl722]) ).
thf('82',plain,
( ( c1_1 @ a544 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf('83',plain,
( ( c1_1 @ a553 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp11
| ( c3_1 @ a553 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('84',plain,
( ( c3_1 @ a553 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl62,plain,
! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 )
| ~ ndr1_0
| hskp29
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('85',plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 ) )
| hskp29
| hskp11
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl117,plain,
( ~ hskp22
| ( c3_1 @ a584 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('86',plain,
( ( c3_1 @ a584 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl118,plain,
( ~ hskp22
| ~ ( c0_1 @ a584 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('87',plain,
( ~ ( c0_1 @ a584 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp22
| ~ ( c2_1 @ a584 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('88',plain,
( ~ ( c2_1 @ a584 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl586,plain,
( ( c3_1 @ a584 )
<= ( c3_1 @ a584 ) ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl440,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1694,plain,
( ( ( c0_1 @ a584 )
| ( c2_1 @ a584 ) )
<= ( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 ) )
& ( c3_1 @ a584 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl440]) ).
thf('89',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c3_1 @ X71 ) )
| ~ ( c3_1 @ a584 )
| ( c0_1 @ a584 )
| ( c2_1 @ a584 ) ),
inference(split,[status(esa)],[zip_derived_cl1694]) ).
thf(zip_derived_cl116,plain,
( ~ hskp22
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( ndr1_0
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl116]) ).
thf(zip_derived_cl356_030,plain,
( ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
<= ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl566_031,plain,
( ~ ( c1_1 @ a594 )
<= ~ ( c1_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1393,plain,
( ( ~ ( c2_1 @ a594 )
| ( c3_1 @ a594 ) )
<= ( ~ ( c1_1 @ a594 )
& ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl356,zip_derived_cl566]) ).
thf('91',plain,
( ( c3_1 @ a594 )
| ~ ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
| ( c1_1 @ a594 )
| ~ ( c2_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1393]) ).
thf(zip_derived_cl105,plain,
( ~ hskp25
| ( c2_1 @ a594 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('92',plain,
( ( c2_1 @ a594 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl106,plain,
( ~ hskp25
| ~ ( c0_1 @ a594 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( ~ ( c0_1 @ a594 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf('94',plain,
( ~ ( c1_1 @ a594 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl5360,plain,
( ( c3_1 @ a594 )
<= ( c3_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl1393]) ).
thf(zip_derived_cl396_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_cl51]) ).
thf(zip_derived_cl5386,plain,
( ( ( c0_1 @ a594 )
| ~ ( c2_1 @ a594 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a594 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5360,zip_derived_cl396]) ).
thf('95',plain,
( ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ( c3_1 @ a594 )
| ~ ( c2_1 @ a594 )
| ( c0_1 @ a594 ) ),
inference(split,[status(esa)],[zip_derived_cl5386]) ).
thf(zip_derived_cl281_033,plain,
( ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
<= ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl726_034,plain,
( ~ ( c3_1 @ a544 )
<= ~ ( c3_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl827,plain,
( ( ~ ( c2_1 @ a544 )
| ~ ( c0_1 @ a544 ) )
<= ( ~ ( c3_1 @ a544 )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl726]) ).
thf('96',plain,
( ~ ( c2_1 @ a544 )
| ~ ( c0_1 @ a544 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ( c3_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl827]) ).
thf('97',plain,
( ( c0_1 @ a544 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf('98',plain,
( ~ ( c3_1 @ a544 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf('99',plain,
( ( c2_1 @ a544 )
| ( c3_1 @ a544 )
| ~ ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
| ~ ( c0_1 @ a544 ) ),
inference(split,[status(esa)],[zip_derived_cl917]) ).
thf('100',plain,
( hskp29
| ! [X37: $i] :
( ( c1_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ( c2_1 @ X37 ) )
| ~ ndr1_0
| hskp21 ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('101',plain,
( hskp22
| ! [X21: $i] :
( ( c2_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) )
| hskp21
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl112,plain,
( ~ hskp23
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('102',plain,
( ndr1_0
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl112]) ).
thf(zip_derived_cl0,plain,
( hskp21
| hskp22
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( hskp23
| hskp22
| hskp21 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl10,plain,
( hskp5
| hskp27
| hskp25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( hskp25
| hskp27
| hskp5 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl89,plain,
( ~ hskp29
| ( c0_1 @ a552 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('105',plain,
( ~ hskp29
| ( c0_1 @ a552 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl90,plain,
( ~ hskp29
| ( c2_1 @ a552 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ~ hskp29
| ( c2_1 @ a552 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl532,plain,
( ( c2_1 @ a552 )
<= ( c2_1 @ a552 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl847_035,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(zip_derived_cl997,plain,
( ~ ( c0_1 @ a552 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
& ( c2_1 @ a552 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl847]) ).
thf(zip_derived_cl530,plain,
( ( c0_1 @ a552 )
<= ( c0_1 @ a552 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('107',plain,
( ~ ( c0_1 @ a552 )
| ~ ( c2_1 @ a552 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl997,zip_derived_cl530]) ).
thf(zip_derived_cl97,plain,
( ~ hskp27
| ( c0_1 @ a615 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ( c0_1 @ a615 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp27
| ( c2_1 @ a615 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( ( c2_1 @ a615 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl548,plain,
( ( c2_1 @ a615 )
<= ( c2_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl847_036,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(zip_derived_cl1045,plain,
( ~ ( c0_1 @ a615 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
& ( c2_1 @ a615 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl847]) ).
thf(zip_derived_cl546,plain,
( ( c0_1 @ a615 )
<= ( c0_1 @ a615 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf('110',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a615 )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ( c2_1 @ a615 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1045,zip_derived_cl546]) ).
thf(zip_derived_cl122,plain,
( ~ hskp21
| ( c3_1 @ a582 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
( ( c3_1 @ a582 )
<= ( c3_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl257_037,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1107,plain,
( ( ~ ( c0_1 @ a582 )
| ~ ( c2_1 @ a582 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a582 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl257]) ).
thf('111',plain,
( ~ ( c0_1 @ a582 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a582 )
| ~ ( c2_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1107]) ).
thf(zip_derived_cl596_038,plain,
( ( c3_1 @ a582 )
<= ( c3_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl396_039,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_cl51]) ).
thf(zip_derived_cl1334,plain,
( ( ( c0_1 @ a582 )
| ~ ( c2_1 @ a582 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a582 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl396]) ).
thf('112',plain,
( ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ( c0_1 @ a582 )
| ~ ( c2_1 @ a582 )
| ~ ( c3_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1334]) ).
thf(zip_derived_cl526,plain,
( ( c3_1 @ a562 )
<= ( c3_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl396_040,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_cl51]) ).
thf(zip_derived_cl1337,plain,
( ( ( c0_1 @ a562 )
| ~ ( c2_1 @ a562 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a562 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl526,zip_derived_cl396]) ).
thf(zip_derived_cl3511,plain,
( ( c0_1 @ a562 )
<= ( c0_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl524,plain,
( ( c2_1 @ a562 )
<= ( c2_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl847_041,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(zip_derived_cl989,plain,
( ~ ( c0_1 @ a562 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
& ( c2_1 @ a562 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl847]) ).
thf('113',plain,
( ~ ( c0_1 @ a562 )
| ~ ( c2_1 @ a562 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3511,zip_derived_cl989]) ).
thf('114',plain,
( ( c0_1 @ a562 )
| ~ ( c3_1 @ a562 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ( c2_1 @ a562 ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl149,plain,
( ~ hskp14
| ( c2_1 @ a566 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('115',plain,
( ( c2_1 @ a566 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp14
| ( c3_1 @ a566 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('116',plain,
( ( c3_1 @ a566 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl151,plain,
( ~ hskp14
| ~ ( c0_1 @ a566 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('117',plain,
( ~ ( c0_1 @ a566 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl652,plain,
( ( c3_1 @ a566 )
<= ( c3_1 @ a566 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl396_042,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_cl51]) ).
thf(zip_derived_cl1333,plain,
( ( ( c0_1 @ a566 )
| ~ ( c2_1 @ a566 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
& ( c3_1 @ a566 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl396]) ).
thf('118',plain,
( ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) )
| ~ ( c2_1 @ a566 )
| ~ ( c3_1 @ a566 )
| ( c0_1 @ a566 ) ),
inference(split,[status(esa)],[zip_derived_cl1333]) ).
thf(zip_derived_cl37,plain,
! [X29: $i,X30: $i] :
( ( c1_1 @ X29 )
| ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ndr1_0
| ( c2_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c3_1 @ X30 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('119',plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| hskp3
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl482_043,plain,
( ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) )
<= ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl123,plain,
( ~ hskp21
| ~ ( c1_1 @ a582 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl598,plain,
( ~ ( c1_1 @ a582 )
<= ~ ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1938,plain,
( ( ~ ( c2_1 @ a582 )
| ( c0_1 @ a582 ) )
<= ( ~ ( c1_1 @ a582 )
& ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl598]) ).
thf('120',plain,
( ( c0_1 @ a582 )
| ~ ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) )
| ~ ( c2_1 @ a582 )
| ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1938]) ).
thf(zip_derived_cl472_044,plain,
( ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
<= ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl598_045,plain,
( ~ ( c1_1 @ a582 )
<= ~ ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1828,plain,
( ( ~ ( c3_1 @ a582 )
| ( c0_1 @ a582 ) )
<= ( ~ ( c1_1 @ a582 )
& ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl598]) ).
thf('121',plain,
( ~ ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
| ( c0_1 @ a582 )
| ( c1_1 @ a582 )
| ~ ( c3_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1828]) ).
thf(zip_derived_cl337_046,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl598_047,plain,
( ~ ( c1_1 @ a582 )
<= ~ ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1064,plain,
( ( ~ ( c2_1 @ a582 )
| ~ ( c0_1 @ a582 ) )
<= ( ~ ( c1_1 @ a582 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl598]) ).
thf('122',plain,
( ~ ( c0_1 @ a582 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ( c1_1 @ a582 )
| ~ ( c2_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1064]) ).
thf(zip_derived_cl100,plain,
( ~ hskp26
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('123',plain,
( ~ hskp26
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl100]) ).
thf(zip_derived_cl180,plain,
( ~ hskp6
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('124',plain,
( ~ hskp6
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl180]) ).
thf(zip_derived_cl196,plain,
( ~ hskp2
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( ~ hskp2
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl2,plain,
( hskp26
| hskp6
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('126',plain,
( hskp26
| hskp2
| hskp6 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl352_048,plain,
( ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
<= ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl598_049,plain,
( ~ ( c1_1 @ a582 )
<= ~ ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1279,plain,
( ( ~ ( c3_1 @ a582 )
| ~ ( c2_1 @ a582 ) )
<= ( ~ ( c1_1 @ a582 )
& ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl598]) ).
thf('127',plain,
( ~ ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
| ~ ( c2_1 @ a582 )
| ~ ( c3_1 @ a582 )
| ( c1_1 @ a582 ) ),
inference(split,[status(esa)],[zip_derived_cl1279]) ).
thf(zip_derived_cl121,plain,
( ~ hskp21
| ( c2_1 @ a582 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('128',plain,
( ( c2_1 @ a582 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf('129',plain,
( ( c3_1 @ a582 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('130',plain,
( ~ ( c1_1 @ a582 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf('131',plain,
( ! [X87: $i] :
( ( c0_1 @ X87 )
| ( c1_1 @ X87 )
| ~ ( c3_1 @ X87 ) )
| ! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 ) )
| ~ ndr1_0
| ! [X51: $i] :
( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl26,plain,
! [X12: $i] :
( ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c2_1 @ X12 )
| ~ ndr1_0
| hskp12
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( hskp12
| hskp21
| ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl157,plain,
( ~ hskp12
| ( c0_1 @ a564 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('133',plain,
( ( c0_1 @ a564 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf('134',plain,
( ( c3_1 @ a564 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf('135',plain,
( ~ ( c1_1 @ a564 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl334_050,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl670_051,plain,
( ~ ( c1_1 @ a564 )
<= ~ ( c1_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1014,plain,
( ( ~ ( c3_1 @ a564 )
| ~ ( c0_1 @ a564 ) )
<= ( ~ ( c1_1 @ a564 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl670]) ).
thf('136',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ( c3_1 @ a564 )
| ( c1_1 @ a564 )
| ~ ( c0_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl1014]) ).
thf('137',plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ndr1_0
| ! [X8: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl668_052,plain,
( ( c3_1 @ a564 )
<= ( c3_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl305_053,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1142,plain,
( ( ( c2_1 @ a564 )
| ~ ( c0_1 @ a564 ) )
<= ( ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ( c3_1 @ a564 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl305]) ).
thf('138',plain,
( ( c2_1 @ a564 )
| ~ ! [X14: $i] :
( ( c2_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ( c0_1 @ a564 )
| ~ ( c3_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl1142]) ).
thf(zip_derived_cl337_054,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl670_055,plain,
( ~ ( c1_1 @ a564 )
<= ~ ( c1_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1060,plain,
( ( ~ ( c2_1 @ a564 )
| ~ ( c0_1 @ a564 ) )
<= ( ~ ( c1_1 @ a564 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl670]) ).
thf('139',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c2_1 @ a564 )
| ( c1_1 @ a564 )
| ~ ( c0_1 @ a564 ) ),
inference(split,[status(esa)],[zip_derived_cl1060]) ).
thf('140',plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ! [X36: $i] :
( ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) )
| ~ ndr1_0
| hskp19 ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl8692,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']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V9CrvcDpin true
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 20:30:01 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.52/1.67 % Solved by fo/fo1_av.sh.
% 7.52/1.67 % done 2244 iterations in 0.844s
% 7.52/1.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.52/1.67 % SZS output start Refutation
% See solution above
% 7.52/1.67
% 7.52/1.67
% 7.52/1.67 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.52/1.67 % Terminating...
% 8.00/1.78 % Runner terminated.
% 8.00/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------