%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN452+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VhgqBAlsq0 true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:04:53 PM UTC 2025
% Result : Theorem 7.33s 1.66s
% Output : Refutation 7.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 543 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 3769 ( 0 equ; 0 cnn)
% Maximal formula atoms : 603 ( 6 avg)
% Number of connectives : 8010 (1859 ~;2383 |; 437 &;2925 @)
% ( 0 <=>; 184 =>; 222 <=; 0 <~>)
% Maximal formula depth : 93 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 65 usr; 62 con; 0-1 aty)
% Number of variables : 669 ( 0 ^; 669 !; 0 ?; 669 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a820_type,type,
a820: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a835_type,type,
a835: $i ).
thf(a862_type,type,
a862: $i ).
thf(a833_type,type,
a833: $i ).
thf(a848_type,type,
a848: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a815_type,type,
a815: $i ).
thf(a827_type,type,
a827: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a816_type,type,
a816: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a821_type,type,
a821: $i ).
thf(a855_type,type,
a855: $i ).
thf(a860_type,type,
a860: $i ).
thf(a865_type,type,
a865: $i ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a834_type,type,
a834: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a831_type,type,
a831: $i ).
thf(a838_type,type,
a838: $i ).
thf(a854_type,type,
a854: $i ).
thf(a857_type,type,
a857: $i ).
thf(a818_type,type,
a818: $i ).
thf(a852_type,type,
a852: $i ).
thf(a844_type,type,
a844: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a856_type,type,
a856: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a828_type,type,
a828: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a892_type,type,
a892: $i ).
thf(a830_type,type,
a830: $i ).
thf(a839_type,type,
a839: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a842_type,type,
a842: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a825_type,type,
a825: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a878_type,type,
a878: $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(a817_type,type,
a817: $i ).
thf(a826_type,type,
a826: $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 @ a815 )
& ( c1_1 @ a815 )
& ~ ( c3_1 @ a815 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a816 )
& ( c3_1 @ a816 )
& ~ ( c2_1 @ a816 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a817 )
& ~ ( c0_1 @ a817 )
& ~ ( c3_1 @ a817 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a820 )
& ~ ( c1_1 @ a820 )
& ~ ( c3_1 @ a820 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a821 )
& ~ ( c0_1 @ a821 )
& ~ ( c1_1 @ a821 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a825 )
& ( c3_1 @ a825 )
& ~ ( c0_1 @ a825 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a827 )
& ( c2_1 @ a827 )
& ~ ( c0_1 @ a827 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a828 )
& ~ ( c1_1 @ a828 )
& ~ ( c2_1 @ a828 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a830 )
& ~ ( c2_1 @ a830 )
& ~ ( c3_1 @ a830 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a831 )
& ~ ( c0_1 @ a831 )
& ~ ( c1_1 @ a831 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a834 )
& ( c2_1 @ a834 )
& ~ ( c1_1 @ a834 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a835 )
& ( c3_1 @ a835 )
& ~ ( c0_1 @ a835 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a838 )
& ( c2_1 @ a838 )
& ~ ( c3_1 @ a838 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c1_1 @ a839 )
& ( c3_1 @ a839 )
& ~ ( c2_1 @ a839 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a842 )
& ( c1_1 @ a842 )
& ~ ( c2_1 @ a842 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c2_1 @ a844 )
& ~ ( c1_1 @ a844 )
& ~ ( c3_1 @ a844 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a848 )
& ( c3_1 @ a848 )
& ~ ( c1_1 @ a848 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c1_1 @ a852 )
& ~ ( c2_1 @ a852 )
& ~ ( c3_1 @ a852 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a854 )
& ~ ( c0_1 @ a854 )
& ~ ( c2_1 @ a854 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a855 )
& ~ ( c1_1 @ a855 )
& ~ ( c3_1 @ a855 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c3_1 @ a856 )
& ~ ( c1_1 @ a856 )
& ~ ( c2_1 @ a856 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a857 )
& ~ ( c2_1 @ a857 )
& ~ ( c3_1 @ a857 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ ( c0_1 @ a860 )
& ~ ( c1_1 @ a860 )
& ~ ( c2_1 @ a860 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a862 )
& ( c3_1 @ a862 )
& ~ ( c1_1 @ a862 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a878 )
& ~ ( c0_1 @ a878 )
& ~ ( c3_1 @ a878 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a892 )
& ( c2_1 @ a892 )
& ~ ( c3_1 @ a892 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a818 )
& ( c1_1 @ a818 )
& ( c2_1 @ a818 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a826 )
& ( c2_1 @ a826 )
& ( c3_1 @ a826 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a833 )
& ( c1_1 @ a833 )
& ( c3_1 @ a833 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c1_1 @ a865 )
& ( c2_1 @ a865 )
& ( c3_1 @ a865 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c1_1 @ V )
| ( c2_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 )
| ( c2_1 @ X )
| ~ ( c0_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c2_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c3_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c2_1 @ Z ) ) )
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| hskp26
| hskp0 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| hskp3
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp3 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c1_1 @ X11 )
| ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp2 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp4 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) )
| hskp5 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| hskp27
| hskp6 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| hskp7
| hskp4 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c2_1 @ X19 )
| ( c3_1 @ X19 )
| ~ ( c0_1 @ X19 ) ) )
| hskp8 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c2_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c2_1 @ X22 )
| ~ ( c1_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| hskp9 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ~ ( c1_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp26
| hskp28 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) )
| hskp10
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| hskp26 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp6 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp12
| hskp13 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ( c3_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c2_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp2 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 ) ) ) )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp9 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp14
| hskp13 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| hskp15
| hskp8 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c2_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) ) ) )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c0_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) ) )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| hskp6 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ( c2_1 @ X55 )
| ( c3_1 @ X55 ) ) )
| hskp27 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c0_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) ) )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp16 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp9 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp3 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp12
| hskp17 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp3
| hskp18 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) )
| hskp19 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ~ ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp20 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) )
| hskp21
| hskp13 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c2_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp14
| hskp22 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c2_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| hskp15 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp23 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ( c1_1 @ X77 ) ) )
| hskp1
| hskp22 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c2_1 @ X78 )
| ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) )
| hskp29
| hskp19 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp29 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c2_1 @ X81 ) ) )
| hskp14
| hskp7 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c3_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 ) ) )
| hskp14
| hskp15 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| hskp1
| hskp2 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| hskp8 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X86 )
| ~ ( c2_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) )
| hskp23
| hskp3 )
& ( hskp28
| hskp24
| hskp20 )
& ( hskp14
| hskp12
| hskp11 )
& ( hskp14
| hskp24 )
& ( hskp27
| hskp18
| hskp9 )
& ( hskp27
| hskp17
| hskp15 )
& ( hskp23
| hskp25
| hskp5 )
& ( hskp7
| hskp5
| hskp13 )
& ( hskp13
| hskp16
| hskp19 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a815 )
& ( c1_1 @ a815 )
& ~ ( c3_1 @ a815 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a816 )
& ( c3_1 @ a816 )
& ~ ( c2_1 @ a816 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a817 )
& ~ ( c0_1 @ a817 )
& ~ ( c3_1 @ a817 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a820 )
& ~ ( c1_1 @ a820 )
& ~ ( c3_1 @ a820 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a821 )
& ~ ( c0_1 @ a821 )
& ~ ( c1_1 @ a821 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a825 )
& ( c3_1 @ a825 )
& ~ ( c0_1 @ a825 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a827 )
& ( c2_1 @ a827 )
& ~ ( c0_1 @ a827 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a828 )
& ~ ( c1_1 @ a828 )
& ~ ( c2_1 @ a828 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a830 )
& ~ ( c2_1 @ a830 )
& ~ ( c3_1 @ a830 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a831 )
& ~ ( c0_1 @ a831 )
& ~ ( c1_1 @ a831 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a834 )
& ( c2_1 @ a834 )
& ~ ( c1_1 @ a834 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a835 )
& ( c3_1 @ a835 )
& ~ ( c0_1 @ a835 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a838 )
& ( c2_1 @ a838 )
& ~ ( c3_1 @ a838 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c1_1 @ a839 )
& ( c3_1 @ a839 )
& ~ ( c2_1 @ a839 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a842 )
& ( c1_1 @ a842 )
& ~ ( c2_1 @ a842 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c2_1 @ a844 )
& ~ ( c1_1 @ a844 )
& ~ ( c3_1 @ a844 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a848 )
& ( c3_1 @ a848 )
& ~ ( c1_1 @ a848 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c1_1 @ a852 )
& ~ ( c2_1 @ a852 )
& ~ ( c3_1 @ a852 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c1_1 @ a854 )
& ~ ( c0_1 @ a854 )
& ~ ( c2_1 @ a854 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a855 )
& ~ ( c1_1 @ a855 )
& ~ ( c3_1 @ a855 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c3_1 @ a856 )
& ~ ( c1_1 @ a856 )
& ~ ( c2_1 @ a856 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c0_1 @ a857 )
& ~ ( c2_1 @ a857 )
& ~ ( c3_1 @ a857 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ ( c0_1 @ a860 )
& ~ ( c1_1 @ a860 )
& ~ ( c2_1 @ a860 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a862 )
& ( c3_1 @ a862 )
& ~ ( c1_1 @ a862 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a878 )
& ~ ( c0_1 @ a878 )
& ~ ( c3_1 @ a878 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a892 )
& ( c2_1 @ a892 )
& ~ ( c3_1 @ a892 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a818 )
& ( c1_1 @ a818 )
& ( c2_1 @ a818 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a826 )
& ( c2_1 @ a826 )
& ( c3_1 @ a826 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a833 )
& ( c1_1 @ a833 )
& ( c3_1 @ a833 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c1_1 @ a865 )
& ( c2_1 @ a865 )
& ( c3_1 @ a865 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c1_1 @ V )
| ( c2_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 )
| ( c2_1 @ X )
| ~ ( c0_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c2_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c3_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c2_1 @ Z ) ) )
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| hskp26
| hskp0 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| hskp3
| hskp4 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| hskp3 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c1_1 @ X11 )
| ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp2 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp4 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) )
| hskp5 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| hskp27
| hskp6 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| hskp7
| hskp4 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c2_1 @ X19 )
| ( c3_1 @ X19 )
| ~ ( c0_1 @ X19 ) ) )
| hskp8 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c2_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c2_1 @ X22 )
| ~ ( c1_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| hskp9 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c2_1 @ X27 )
| ~ ( c1_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp26
| hskp28 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) )
| hskp10
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| hskp26 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp6 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp12
| hskp13 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ( c3_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c3_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c2_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp2 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 ) ) ) )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp9 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp14
| hskp13 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| hskp15
| hskp8 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c2_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c1_1 @ X49 ) ) ) )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c2_1 @ X51 )
| ~ ( c0_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) ) )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| hskp6 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ( c2_1 @ X55 )
| ( c3_1 @ X55 ) ) )
| hskp27 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c0_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) ) )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp16 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp9 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp3 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp12
| hskp17 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp3
| hskp18 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) )
| hskp19 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ~ ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp20 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) )
| hskp21
| hskp13 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c2_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp14
| hskp22 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c2_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| hskp15 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp23 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ( c1_1 @ X77 ) ) )
| hskp1
| hskp22 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c2_1 @ X78 )
| ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) )
| hskp29
| hskp19 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp29 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c3_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c2_1 @ X81 ) ) )
| hskp14
| hskp7 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c3_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 ) ) )
| hskp14
| hskp15 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c3_1 @ X83 )
| ~ ( c1_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| hskp1
| hskp2 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| hskp8 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X86 )
| ~ ( c2_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) )
| hskp23
| hskp3 )
& ( hskp28
| hskp24
| hskp20 )
& ( hskp14
| hskp12
| hskp11 )
& ( hskp14
| hskp24 )
& ( hskp27
| hskp18
| hskp9 )
& ( hskp27
| hskp17
| hskp15 )
& ( hskp23
| hskp25
| hskp5 )
& ( hskp7
| hskp5
| hskp13 )
& ( hskp13
| hskp16
| hskp19 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl25,plain,
! [X24: $i,X25: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ndr1_0
| ( c2_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ( c3_1 @ X25 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl272,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl99,plain,
( ~ hskp20
| ~ ( c2_1 @ a856 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl487,plain,
( ~ ( c2_1 @ a856 )
<= ~ ( c2_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1032,plain,
( ( ~ ( c0_1 @ a856 )
| ( c1_1 @ a856 ) )
<= ( ~ ( c2_1 @ a856 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl487]) ).
thf('0',plain,
( ~ ( c0_1 @ a856 )
| ( c2_1 @ a856 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
| ( c1_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl1032]) ).
thf(zip_derived_cl272_001,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl18,plain,
! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 )
| ~ ndr1_0
| hskp14
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl243,plain,
( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
<= ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1023,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl243]) ).
thf(zip_derived_cl1046,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1023]) ).
thf(zip_derived_cl16,plain,
! [X10: $i,X11: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ndr1_0
| ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 )
| ~ ndr1_0
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| hskp23
| ~ ndr1_0
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl85,plain,
( ~ hskp23
| ( c0_1 @ a862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( c0_1 @ a862 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
( ~ hskp23
| ( c3_1 @ a862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( c3_1 @ a862 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp23
| ~ ( c1_1 @ a862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ~ ( c1_1 @ a862 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl459,plain,
( ( c0_1 @ a862 )
<= ( c0_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl19,plain,
! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 )
| ~ ndr1_0
| hskp21
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1186,plain,
( ( ( c1_1 @ a862 )
| ~ ( c3_1 @ a862 ) )
<= ( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a862 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl247]) ).
thf('5',plain,
( ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c3_1 @ a862 )
| ( c1_1 @ a862 )
| ~ ( c0_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl1186]) ).
thf(zip_derived_cl20,plain,
! [X16: $i,X17: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c3_1 @ X16 )
| ~ ndr1_0
| ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ( c3_1 @ X17 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| hskp20
| ~ ndr1_0
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl113,plain,
( ~ hskp16
| ( c2_1 @ a848 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl515,plain,
( ( c2_1 @ a848 )
<= ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl53,plain,
! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ndr1_0
| hskp3
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl382,plain,
( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
<= ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1714,plain,
( ( ( c0_1 @ a848 )
| ( c1_1 @ a848 ) )
<= ( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
& ( c2_1 @ a848 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl382]) ).
thf('7',plain,
( ~ ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
| ( c0_1 @ a848 )
| ( c1_1 @ a848 )
| ~ ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl1714]) ).
thf(zip_derived_cl515_002,plain,
( ( c2_1 @ a848 )
<= ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl243_003,plain,
( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
<= ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1212,plain,
( ( ( c1_1 @ a848 )
| ~ ( c3_1 @ a848 ) )
<= ( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ( c2_1 @ a848 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl243]) ).
thf('8',plain,
( ( c1_1 @ a848 )
| ~ ( c3_1 @ a848 )
| ~ ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl1212]) ).
thf(zip_derived_cl515_004,plain,
( ( c2_1 @ a848 )
<= ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl21,plain,
! [X18: $i,X19: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 )
| ~ ndr1_0
| ( c2_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ndr1_0
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl256,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1213,plain,
( ( ( c1_1 @ a848 )
| ~ ( c0_1 @ a848 ) )
<= ( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
& ( c2_1 @ a848 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl515,zip_derived_cl256]) ).
thf('9',plain,
( ( c1_1 @ a848 )
| ~ ( c0_1 @ a848 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
| ~ ( c2_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl1213]) ).
thf('10',plain,
( ( c2_1 @ a848 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl114,plain,
( ~ hskp16
| ( c3_1 @ a848 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ( c3_1 @ a848 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( ~ hskp16
| ~ ( c1_1 @ a848 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( ~ hskp16
| ~ ( c1_1 @ a848 ) ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl0,plain,
( hskp13
| hskp16
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( hskp19
| hskp16
| hskp13 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('14',plain,
( hskp19
| ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
| ~ ndr1_0
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl97,plain,
( ~ hskp20
| ( c3_1 @ a856 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('15',plain,
( ( c3_1 @ a856 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp20
| ~ ( c1_1 @ a856 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ~ hskp20
| ~ ( c1_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('17',plain,
( ~ hskp20
| ~ ( c2_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl24,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 )
| ~ ndr1_0
| ~ ( c0_1 @ X23 )
| ~ ( c1_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl268,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl487_005,plain,
( ~ ( c2_1 @ a856 )
<= ~ ( c2_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl978,plain,
( ( ~ ( c3_1 @ a856 )
| ( c1_1 @ a856 ) )
<= ( ~ ( c2_1 @ a856 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl487]) ).
thf('18',plain,
( ( c1_1 @ a856 )
| ( c2_1 @ a856 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c3_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl978]) ).
thf(zip_derived_cl44,plain,
! [X62: $i,X63: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ndr1_0
| ( c2_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c3_1 @ X63 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('19',plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| hskp9
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl121,plain,
( ~ hskp14
| ( c0_1 @ a842 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531,plain,
( ( c0_1 @ a842 )
<= ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl9,plain,
! [X1: $i,X2: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl208,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1231,plain,
( ( ~ ( c1_1 @ a842 )
| ~ ( c3_1 @ a842 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c0_1 @ a842 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl208]) ).
thf('20',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a842 )
| ~ ( c0_1 @ a842 )
| ~ ( c1_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl1231]) ).
thf(zip_derived_cl127,plain,
( ~ hskp13
| ~ ( c2_1 @ a839 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl543,plain,
( ~ ( c2_1 @ a839 )
<= ~ ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl14,plain,
! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ndr1_0
| hskp29
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl227,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl766,plain,
( ( ~ ( c0_1 @ a839 )
| ~ ( c1_1 @ a839 ) )
<= ( ~ ( c2_1 @ a839 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl543,zip_derived_cl227]) ).
thf('21',plain,
( ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
| ~ ( c0_1 @ a839 )
| ~ ( c1_1 @ a839 )
| ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl766]) ).
thf('22',plain,
( hskp13
| hskp21
| ~ ndr1_0
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl227_006,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl94,plain,
( ~ hskp21
| ~ ( c2_1 @ a857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl477,plain,
( ~ ( c2_1 @ a857 )
<= ~ ( c2_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl724,plain,
( ( ~ ( c1_1 @ a857 )
| ~ ( c0_1 @ a857 ) )
<= ( ~ ( c2_1 @ a857 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl227,zip_derived_cl477]) ).
thf('23',plain,
( ( c2_1 @ a857 )
| ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
| ~ ( c1_1 @ a857 )
| ~ ( c0_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl724]) ).
thf(zip_derived_cl93,plain,
( ~ hskp21
| ( c0_1 @ a857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ( c0_1 @ a857 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('25',plain,
( ~ hskp21
| ~ ( c2_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl95,plain,
( ~ hskp21
| ~ ( c3_1 @ a857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ~ hskp21
| ~ ( c3_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl28,plain,
! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl477_007,plain,
( ~ ( c2_1 @ a857 )
<= ~ ( c2_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1113,plain,
( ( ( c3_1 @ a857 )
| ( c1_1 @ a857 ) )
<= ( ~ ( c2_1 @ a857 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl477]) ).
thf('27',plain,
( ( c1_1 @ a857 )
| ( c2_1 @ a857 )
| ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
| ( c3_1 @ a857 ) ),
inference(split,[status(esa)],[zip_derived_cl1113]) ).
thf(zip_derived_cl149,plain,
( ~ hskp7
| ( c0_1 @ a828 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587,plain,
( ( c0_1 @ a828 )
<= ( c0_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl247_008,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1288,plain,
( ( ( c1_1 @ a828 )
| ~ ( c3_1 @ a828 ) )
<= ( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a828 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl247]) ).
thf('28',plain,
( ( c1_1 @ a828 )
| ~ ( c3_1 @ a828 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c0_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl1288]) ).
thf(zip_derived_cl268_009,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl151,plain,
( ~ hskp7
| ~ ( c2_1 @ a828 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl591,plain,
( ~ ( c2_1 @ a828 )
<= ~ ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl972,plain,
( ( ~ ( c3_1 @ a828 )
| ( c1_1 @ a828 ) )
<= ( ~ ( c2_1 @ a828 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl591]) ).
thf('29',plain,
( ( c1_1 @ a828 )
| ~ ( c3_1 @ a828 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl972]) ).
thf('30',plain,
( hskp19
| hskp29
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl101,plain,
( ~ hskp19
| ~ ( c0_1 @ a855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('31',plain,
( ~ ( c0_1 @ a855 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp19
| ~ ( c1_1 @ a855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('32',plain,
( ~ ( c1_1 @ a855 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp19
| ~ ( c3_1 @ a855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( ~ ( c3_1 @ a855 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl55,plain,
! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ndr1_0
| hskp26
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
( ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
<= ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl491,plain,
( ~ ( c0_1 @ a855 )
<= ~ ( c0_1 @ a855 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl2063,plain,
( ( ( c3_1 @ a855 )
| ( c1_1 @ a855 ) )
<= ( ~ ( c0_1 @ a855 )
& ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl491]) ).
thf('34',plain,
( ~ ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
| ( c0_1 @ a855 )
| ( c1_1 @ a855 )
| ( c3_1 @ a855 ) ),
inference(split,[status(esa)],[zip_derived_cl2063]) ).
thf('35',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
| hskp9
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl347,plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
<= ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl146,plain,
( ~ hskp8
| ~ ( c2_1 @ a830 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl581,plain,
( ~ ( c2_1 @ a830 )
<= ~ ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl1867,plain,
( ( ~ ( c1_1 @ a830 )
| ( c0_1 @ a830 ) )
<= ( ~ ( c2_1 @ a830 )
& ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl581]) ).
thf('36',plain,
( ~ ( c1_1 @ a830 )
| ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ( c2_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1867]) ).
thf(zip_derived_cl61,plain,
( ~ hskp29
| ( c1_1 @ a865 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('37',plain,
( ( c1_1 @ a865 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl62,plain,
( ~ hskp29
| ( c2_1 @ a865 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('38',plain,
( ( c2_1 @ a865 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl63,plain,
( ~ hskp29
| ( c3_1 @ a865 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('39',plain,
( ( c3_1 @ a865 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl413,plain,
( ( c2_1 @ a865 )
<= ( c2_1 @ a865 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl207,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1083,plain,
( ( ~ ( c1_1 @ a865 )
| ~ ( c3_1 @ a865 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c2_1 @ a865 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl207]) ).
thf('40',plain,
( ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c1_1 @ a865 )
| ~ ( c2_1 @ a865 )
| ~ ( c3_1 @ a865 ) ),
inference(split,[status(esa)],[zip_derived_cl1083]) ).
thf(zip_derived_cl13,plain,
! [X6: $i,X7: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 )
| ~ ndr1_0
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( hskp29
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl41,plain,
! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 )
| ~ ndr1_0
| hskp10
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334,plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
<= ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl543_010,plain,
( ~ ( c2_1 @ a839 )
<= ~ ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1818,plain,
( ( ~ ( c3_1 @ a839 )
| ( c0_1 @ a839 ) )
<= ( ~ ( c2_1 @ a839 )
& ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl543]) ).
thf(zip_derived_cl4948,plain,
( ( c0_1 @ a839 )
<= ( c0_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1818]) ).
thf(zip_derived_cl208_011,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl4969,plain,
( ( ~ ( c1_1 @ a839 )
| ~ ( c3_1 @ a839 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c0_1 @ a839 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4948,zip_derived_cl208]) ).
thf('42',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a839 )
| ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl4969]) ).
thf(zip_derived_cl45,plain,
! [X64: $i,X65: $i,X66: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ndr1_0
| ( c2_1 @ X65 )
| ~ ( c0_1 @ X65 )
| ~ ( c3_1 @ X65 )
| ~ ndr1_0
| ( c2_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('43',plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ~ ndr1_0
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl57,plain,
! [X86: $i,X87: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 )
| ~ ndr1_0
| ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c2_1 @ X87 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl398,plain,
( ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
<= ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl581_012,plain,
( ~ ( c2_1 @ a830 )
<= ~ ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl2116,plain,
( ( ( c1_1 @ a830 )
| ( c0_1 @ a830 ) )
<= ( ~ ( c2_1 @ a830 )
& ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl581]) ).
thf('44',plain,
( ~ ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| ( c1_1 @ a830 )
| ( c2_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl2116]) ).
thf(zip_derived_cl59,plain,
! [X90: $i,X91: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ( c2_1 @ X90 )
| ~ ndr1_0
| ( c1_1 @ X91 )
| ( c2_1 @ X91 )
| ( c3_1 @ X91 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('45',plain,
( hskp0
| ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl177,plain,
( ~ hskp0
| ( c0_1 @ a815 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('46',plain,
( ( c0_1 @ a815 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl178,plain,
( ~ hskp0
| ( c1_1 @ a815 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('47',plain,
( ( c1_1 @ a815 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl179,plain,
( ~ hskp0
| ~ ( c3_1 @ a815 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('48',plain,
( ~ ( c3_1 @ a815 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl643,plain,
( ( c0_1 @ a815 )
<= ( c0_1 @ a815 ) ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl34,plain,
! [X42: $i,X43: $i] :
( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 )
| ~ ndr1_0
| ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
<= ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1451,plain,
( ( ( c3_1 @ a815 )
| ~ ( c1_1 @ a815 ) )
<= ( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
& ( c0_1 @ a815 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl306]) ).
thf('49',plain,
( ~ ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ~ ( c1_1 @ a815 )
| ( c3_1 @ a815 )
| ~ ( c0_1 @ a815 ) ),
inference(split,[status(esa)],[zip_derived_cl1451]) ).
thf(zip_derived_cl50,plain,
! [X73: $i,X74: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ndr1_0
| ( c0_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 )
| ~ ndr1_0
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('50',plain,
( hskp4
| ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ~ ndr1_0
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl47,plain,
! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ndr1_0
| hskp7
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl358,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl581_013,plain,
( ~ ( c2_1 @ a830 )
<= ~ ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl1918,plain,
( ( ( c3_1 @ a830 )
| ( c0_1 @ a830 ) )
<= ( ~ ( c2_1 @ a830 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl581]) ).
thf('51',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ( c0_1 @ a830 )
| ( c2_1 @ a830 )
| ( c3_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1918]) ).
thf(zip_derived_cl69,plain,
( ~ hskp27
| ( c0_1 @ a826 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl427,plain,
( ( c0_1 @ a826 )
<= ( c0_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl208_014,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1136,plain,
( ( ~ ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c0_1 @ a826 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl208]) ).
thf('52',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 )
| ~ ( c0_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl1136]) ).
thf(zip_derived_cl427_015,plain,
( ( c0_1 @ a826 )
<= ( c0_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl247_016,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1137,plain,
( ( ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 ) )
<= ( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a826 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl247]) ).
thf('53',plain,
( ( c1_1 @ a826 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c0_1 @ a826 )
| ~ ( c3_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl1137]) ).
thf(zip_derived_cl43,plain,
! [X59: $i,X60: $i,X61: $i] :
( ( c0_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0
| ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c3_1 @ X60 )
| ~ ndr1_0
| ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ndr1_0
| ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl358_017,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl91,plain,
( ~ hskp22
| ~ ( c2_1 @ a860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl471,plain,
( ~ ( c2_1 @ a860 )
<= ~ ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1925,plain,
( ( ( c3_1 @ a860 )
| ( c0_1 @ a860 ) )
<= ( ~ ( c2_1 @ a860 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl471]) ).
thf('55',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ( c3_1 @ a860 )
| ( c2_1 @ a860 )
| ( c0_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl1925]) ).
thf('56',plain,
( hskp4
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| hskp7
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl161,plain,
( ~ hskp4
| ( c2_1 @ a821 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('57',plain,
( ( c2_1 @ a821 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp4
| ~ ( c0_1 @ a821 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('58',plain,
( ~ ( c0_1 @ a821 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl163,plain,
( ~ hskp4
| ~ ( c1_1 @ a821 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( ~ ( c1_1 @ a821 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl611,plain,
( ( c2_1 @ a821 )
<= ( c2_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl382_018,plain,
( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
<= ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1708,plain,
( ( ( c0_1 @ a821 )
| ( c1_1 @ a821 ) )
<= ( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
& ( c2_1 @ a821 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl382]) ).
thf('60',plain,
( ~ ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
| ~ ( c2_1 @ a821 )
| ( c0_1 @ a821 )
| ( c1_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl1708]) ).
thf('61',plain,
( ( c0_1 @ a826 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl272_019,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl591_020,plain,
( ~ ( c2_1 @ a828 )
<= ~ ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl1026,plain,
( ( ~ ( c0_1 @ a828 )
| ( c1_1 @ a828 ) )
<= ( ~ ( c2_1 @ a828 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl591]) ).
thf('62',plain,
( ( c1_1 @ a828 )
| ( c2_1 @ a828 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
| ~ ( c0_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl1026]) ).
thf(zip_derived_cl65,plain,
( ~ hskp28
| ( c0_1 @ a833 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl419,plain,
( ( c0_1 @ a833 )
<= ( c0_1 @ a833 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl208_021,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1091,plain,
( ( ~ ( c1_1 @ a833 )
| ~ ( c3_1 @ a833 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c0_1 @ a833 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl208]) ).
thf('63',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a833 )
| ~ ( c3_1 @ a833 )
| ~ ( c1_1 @ a833 ) ),
inference(split,[status(esa)],[zip_derived_cl1091]) ).
thf(zip_derived_cl581_022,plain,
( ~ ( c2_1 @ a830 )
<= ~ ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl15,plain,
! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ndr1_0
| hskp1
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl231,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl781,plain,
( ( ( c3_1 @ a830 )
| ~ ( c1_1 @ a830 ) )
<= ( ~ ( c2_1 @ a830 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl581,zip_derived_cl231]) ).
thf('64',plain,
( ~ ( c1_1 @ a830 )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ( c3_1 @ a830 )
| ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl781]) ).
thf(zip_derived_cl390_023,plain,
( ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
<= ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl170,plain,
( ~ hskp2
| ~ ( c0_1 @ a817 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl629,plain,
( ~ ( c0_1 @ a817 )
<= ~ ( c0_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl2051,plain,
( ( ( c3_1 @ a817 )
| ( c1_1 @ a817 ) )
<= ( ~ ( c0_1 @ a817 )
& ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl629]) ).
thf('65',plain,
( ~ ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
| ( c1_1 @ a817 )
| ( c3_1 @ a817 )
| ( c0_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl2051]) ).
thf(zip_derived_cl171,plain,
( ~ hskp2
| ~ ( c3_1 @ a817 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( ~ ( c3_1 @ a817 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl56,plain,
! [X84: $i,X85: $i] :
( ( c0_1 @ X84 )
| ( c1_1 @ X84 )
| ( c3_1 @ X84 )
| ~ ndr1_0
| ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl51,plain,
! [X75: $i,X76: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 )
| ~ ndr1_0
| ( c1_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl375,plain,
( ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
<= ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl89,plain,
( ~ hskp22
| ~ ( c0_1 @ a860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ~ ( c0_1 @ a860 )
<= ~ ( c0_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl1975,plain,
( ( ~ ( c3_1 @ a860 )
| ( c1_1 @ a860 ) )
<= ( ~ ( c0_1 @ a860 )
& ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl467]) ).
thf('68',plain,
( ~ ( c3_1 @ a860 )
| ( c0_1 @ a860 )
| ~ ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ( c1_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl1975]) ).
thf('69',plain,
( ~ ( c0_1 @ a860 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl169,plain,
( ~ hskp2
| ( c2_1 @ a817 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl627,plain,
( ( c2_1 @ a817 )
<= ( c2_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl10,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp1
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl211,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1354,plain,
( ( ( c3_1 @ a817 )
| ~ ( c1_1 @ a817 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a817 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl211]) ).
thf('70',plain,
( ~ ( c1_1 @ a817 )
| ~ ( c2_1 @ a817 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ( c3_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl1354]) ).
thf(zip_derived_cl73,plain,
( ~ hskp26
| ( c0_1 @ a818 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl435,plain,
( ( c0_1 @ a818 )
<= ( c0_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl208_024,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1152,plain,
( ( ~ ( c1_1 @ a818 )
| ~ ( c3_1 @ a818 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c0_1 @ a818 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl435,zip_derived_cl208]) ).
thf('71',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a818 )
| ~ ( c1_1 @ a818 )
| ~ ( c0_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl1152]) ).
thf(zip_derived_cl123,plain,
( ~ hskp14
| ~ ( c2_1 @ a842 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ~ ( c2_1 @ a842 )
<= ~ ( c2_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl224,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl734,plain,
( ( ~ ( c0_1 @ a842 )
| ~ ( c3_1 @ a842 ) )
<= ( ~ ( c2_1 @ a842 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl224]) ).
thf('72',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c3_1 @ a842 )
| ( c2_1 @ a842 )
| ~ ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl734]) ).
thf(zip_derived_cl32,plain,
! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| hskp15
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl298,plain,
( ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
<= ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl543_025,plain,
( ~ ( c2_1 @ a839 )
<= ~ ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl224_026,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl765,plain,
( ( ~ ( c0_1 @ a839 )
| ~ ( c3_1 @ a839 ) )
<= ( ~ ( c2_1 @ a839 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl543,zip_derived_cl224]) ).
thf(zip_derived_cl848,plain,
( ~ ( c0_1 @ a839 )
<= ~ ( c0_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl765]) ).
thf(zip_derived_cl1378,plain,
( ( ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 ) )
<= ( ~ ( c0_1 @ a839 )
& ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl848]) ).
thf('73',plain,
( ( c0_1 @ a839 )
| ~ ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1378]) ).
thf(zip_derived_cl148,plain,
( ~ hskp7
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ndr1_0
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl148]) ).
thf(zip_derived_cl124,plain,
( ~ hskp13
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('75',plain,
( ndr1_0
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl124]) ).
thf(zip_derived_cl156,plain,
( ~ hskp5
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('76',plain,
( ndr1_0
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl156]) ).
thf('77',plain,
( ( c0_1 @ a833 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl66,plain,
( ~ hskp28
| ( c1_1 @ a833 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( ( c1_1 @ a833 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl67,plain,
( ~ hskp28
| ( c3_1 @ a833 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('79',plain,
( ( c3_1 @ a833 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl419_027,plain,
( ( c0_1 @ a833 )
<= ( c0_1 @ a833 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl224_028,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl207_029,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl696,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl207]) ).
thf(zip_derived_cl705,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl696]) ).
thf(zip_derived_cl1088,plain,
( ( ~ ( c1_1 @ a833 )
| ~ ( c3_1 @ a833 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c0_1 @ a833 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl705]) ).
thf('80',plain,
( ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c0_1 @ a833 )
| ~ ( c3_1 @ a833 )
| ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c1_1 @ a833 ) ),
inference(split,[status(esa)],[zip_derived_cl1088]) ).
thf(zip_derived_cl154,plain,
( ~ hskp6
| ( c2_1 @ a827 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl597,plain,
( ( c2_1 @ a827 )
<= ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl211_030,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1298,plain,
( ( ( c3_1 @ a827 )
| ~ ( c1_1 @ a827 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a827 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl211]) ).
thf('81',plain,
( ( c3_1 @ a827 )
| ~ ( c1_1 @ a827 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl1298]) ).
thf(zip_derived_cl597_031,plain,
( ( c2_1 @ a827 )
<= ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl36,plain,
! [X47: $i,X48: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ndr1_0
| ( c1_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl314,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1626,plain,
( ( ( c0_1 @ a827 )
| ( c3_1 @ a827 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
& ( c2_1 @ a827 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl314]) ).
thf('82',plain,
( ~ ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ( c3_1 @ a827 )
| ( c0_1 @ a827 )
| ~ ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl1626]) ).
thf(zip_derived_cl597_032,plain,
( ( c2_1 @ a827 )
<= ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl207_033,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1297,plain,
( ( ~ ( c1_1 @ a827 )
| ~ ( c3_1 @ a827 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c2_1 @ a827 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl207]) ).
thf('83',plain,
( ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c3_1 @ a827 )
| ~ ( c1_1 @ a827 )
| ~ ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl1297]) ).
thf(zip_derived_cl29,plain,
! [X32: $i,X33: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ndr1_0
| ( c1_1 @ X33 )
| ~ ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('84',plain,
( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| hskp6
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl70,plain,
( ~ hskp27
| ( c2_1 @ a826 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl429,plain,
( ( c2_1 @ a826 )
<= ( c2_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl243_034,plain,
( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
<= ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1146,plain,
( ( ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 ) )
<= ( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ( c2_1 @ a826 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl243]) ).
thf('85',plain,
( ( c1_1 @ a826 )
| ~ ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ( c3_1 @ a826 )
| ~ ( c2_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl1146]) ).
thf('86',plain,
( ( c2_1 @ a826 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl627_035,plain,
( ( c2_1 @ a817 )
<= ( c2_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl35,plain,
! [X44: $i,X45: $i,X46: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 )
| ~ ndr1_0
| ( c1_1 @ X45 )
| ( c2_1 @ X45 )
| ~ ( c3_1 @ X45 )
| ~ ndr1_0
| ( c2_1 @ X46 )
| ~ ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl312,plain,
( ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
<= ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1479,plain,
( ( ( c0_1 @ a817 )
| ~ ( c1_1 @ a817 ) )
<= ( ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
& ( c2_1 @ a817 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl312]) ).
thf('87',plain,
( ~ ( c1_1 @ a817 )
| ~ ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
| ~ ( c2_1 @ a817 )
| ( c0_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl1479]) ).
thf('88',plain,
( ( c2_1 @ a817 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf('89',plain,
( ~ ( c0_1 @ a817 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('90',plain,
( hskp2
| ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ~ ndr1_0
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl141,plain,
( ~ hskp9
| ( c3_1 @ a831 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('91',plain,
( ( c3_1 @ a831 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl142,plain,
( ~ hskp9
| ~ ( c0_1 @ a831 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('92',plain,
( ~ hskp9
| ~ ( c0_1 @ a831 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl143,plain,
( ~ hskp9
| ~ ( c1_1 @ a831 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( ~ hskp9
| ~ ( c1_1 @ a831 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl375_036,plain,
( ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
<= ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl573,plain,
( ~ ( c0_1 @ a831 )
<= ~ ( c0_1 @ a831 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl1966,plain,
( ( ~ ( c3_1 @ a831 )
| ( c1_1 @ a831 ) )
<= ( ~ ( c0_1 @ a831 )
& ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl573]) ).
thf('94',plain,
( ( c0_1 @ a831 )
| ( c1_1 @ a831 )
| ~ ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ~ ( c3_1 @ a831 ) ),
inference(split,[status(esa)],[zip_derived_cl1966]) ).
thf(zip_derived_cl54,plain,
! [X80: $i,X81: $i,X82: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ~ ( c2_1 @ X80 )
| ~ ndr1_0
| ( c0_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c3_1 @ X81 )
| ~ ndr1_0
| ( c3_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('95',plain,
( ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ~ ndr1_0
| ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf('96',plain,
( ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| hskp9
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl531_037,plain,
( ( c0_1 @ a842 )
<= ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl306_038,plain,
( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
<= ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1457,plain,
( ( ( c3_1 @ a842 )
| ~ ( c1_1 @ a842 ) )
<= ( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
& ( c0_1 @ a842 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl306]) ).
thf('97',plain,
( ( c3_1 @ a842 )
| ~ ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ~ ( c1_1 @ a842 )
| ~ ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl1457]) ).
thf(zip_derived_cl157,plain,
( ~ hskp5
| ( c1_1 @ a825 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('98',plain,
( ( c1_1 @ a825 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp5
| ( c3_1 @ a825 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( ( c3_1 @ a825 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp5
| ~ ( c0_1 @ a825 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('100',plain,
( ~ hskp5
| ~ ( c0_1 @ a825 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl33,plain,
! [X41: $i] :
( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c3_1 @ X41 )
| ~ ndr1_0
| hskp14
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( hskp14
| ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ndr1_0
| hskp13 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl298_039,plain,
( ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
<= ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl607,plain,
( ~ ( c0_1 @ a825 )
<= ~ ( c0_1 @ a825 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1372,plain,
( ( ~ ( c3_1 @ a825 )
| ~ ( c1_1 @ a825 ) )
<= ( ~ ( c0_1 @ a825 )
& ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl607]) ).
thf('102',plain,
( ( c0_1 @ a825 )
| ~ ( c3_1 @ a825 )
| ~ ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ( c1_1 @ a825 ) ),
inference(split,[status(esa)],[zip_derived_cl1372]) ).
thf(zip_derived_cl1,plain,
( hskp7
| hskp5
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( hskp13
| hskp5
| hskp7 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl153,plain,
( ~ hskp6
| ( c1_1 @ a827 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( ( c1_1 @ a827 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('105',plain,
( ( c2_1 @ a827 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp6
| ~ ( c0_1 @ a827 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ~ hskp6
| ~ ( c0_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl39,plain,
! [X53: $i,X54: $i] :
( ( c0_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ndr1_0
| ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('107',plain,
( ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) )
| ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) )
| ~ ndr1_0
| hskp6 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl145,plain,
( ~ hskp8
| ~ ( c0_1 @ a830 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ~ ( c0_1 @ a830 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('109',plain,
( ~ ( c2_1 @ a830 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl147,plain,
( ~ hskp8
| ~ ( c3_1 @ a830 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ~ ( c3_1 @ a830 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl38,plain,
! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ndr1_0
| hskp12
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl322,plain,
( ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) )
<= ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl579,plain,
( ~ ( c0_1 @ a830 )
<= ~ ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl1739,plain,
( ( ~ ( c1_1 @ a830 )
| ( c3_1 @ a830 ) )
<= ( ~ ( c0_1 @ a830 )
& ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl579]) ).
thf('111',plain,
( ~ ( c1_1 @ a830 )
| ~ ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) )
| ( c3_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1739]) ).
thf(zip_derived_cl46,plain,
! [X67: $i,X68: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 )
| ~ ndr1_0
| ( c2_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| hskp8
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl283_040,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl471_041,plain,
( ~ ( c2_1 @ a860 )
<= ~ ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1114,plain,
( ( ( c3_1 @ a860 )
| ( c1_1 @ a860 ) )
<= ( ~ ( c2_1 @ a860 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl471]) ).
thf('113',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
| ( c3_1 @ a860 )
| ( c2_1 @ a860 )
| ( c1_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl1114]) ).
thf(zip_derived_cl90,plain,
( ~ hskp22
| ~ ( c1_1 @ a860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ~ ( c1_1 @ a860 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('115',plain,
( ~ ( c2_1 @ a860 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf('116',plain,
( hskp1
| hskp22
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl231_042,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl535_043,plain,
( ~ ( c2_1 @ a842 )
<= ~ ( c2_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl751,plain,
( ( ~ ( c1_1 @ a842 )
| ( c3_1 @ a842 ) )
<= ( ~ ( c2_1 @ a842 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl231,zip_derived_cl535]) ).
thf('117',plain,
( ( c3_1 @ a842 )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ( c2_1 @ a842 )
| ~ ( c1_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl751]) ).
thf('118',plain,
( ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl535_044,plain,
( ~ ( c2_1 @ a842 )
<= ~ ( c2_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl227_045,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl735,plain,
( ( ~ ( c0_1 @ a842 )
| ~ ( c1_1 @ a842 ) )
<= ( ~ ( c2_1 @ a842 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl535,zip_derived_cl227]) ).
thf('119',plain,
( ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 ) )
| ~ ( c0_1 @ a842 )
| ( c2_1 @ a842 )
| ~ ( c1_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl735]) ).
thf(zip_derived_cl268_046,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl471_047,plain,
( ~ ( c2_1 @ a860 )
<= ~ ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl980,plain,
( ( ~ ( c3_1 @ a860 )
| ( c1_1 @ a860 ) )
<= ( ~ ( c2_1 @ a860 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl471]) ).
thf('120',plain,
( ~ ( c3_1 @ a860 )
| ( c1_1 @ a860 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl980]) ).
thf(zip_derived_cl17,plain,
! [X12: $i,X13: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ndr1_0
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl535_048,plain,
( ~ ( c2_1 @ a842 )
<= ~ ( c2_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl828,plain,
( ( ~ ( c0_1 @ a842 )
| ( c3_1 @ a842 ) )
<= ( ~ ( c2_1 @ a842 )
& ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl535]) ).
thf('121',plain,
( ( c3_1 @ a842 )
| ( c2_1 @ a842 )
| ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) )
| ~ ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl828]) ).
thf('122',plain,
( ( c0_1 @ a842 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp14
| ( c1_1 @ a842 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('123',plain,
( ( c1_1 @ a842 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('124',plain,
( ~ ( c2_1 @ a842 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl531_049,plain,
( ( c0_1 @ a842 )
<= ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl705_050,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl696]) ).
thf(zip_derived_cl1228,plain,
( ( ~ ( c1_1 @ a842 )
| ~ ( c3_1 @ a842 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c0_1 @ a842 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl705]) ).
thf('125',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c3_1 @ a842 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c1_1 @ a842 )
| ~ ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl1228]) ).
thf(zip_derived_cl12,plain,
! [X5: $i] :
( ( c3_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ndr1_0
| hskp14
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('126',plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| hskp14
| hskp7
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl75,plain,
( ~ hskp26
| ( c2_1 @ a818 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl439,plain,
( ( c2_1 @ a818 )
<= ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl211_051,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1163,plain,
( ( ( c3_1 @ a818 )
| ~ ( c1_1 @ a818 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a818 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl211]) ).
thf('127',plain,
( ( c3_1 @ a818 )
| ~ ( c1_1 @ a818 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl1163]) ).
thf('128',plain,
( ( c0_1 @ a818 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl439_052,plain,
( ( c2_1 @ a818 )
<= ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl326,plain,
( ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) )
<= ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1518,plain,
( ( ( c3_1 @ a818 )
| ~ ( c0_1 @ a818 ) )
<= ( ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) )
& ( c2_1 @ a818 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl326]) ).
thf('129',plain,
( ( c3_1 @ a818 )
| ~ ( c0_1 @ a818 )
| ~ ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) )
| ~ ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl1518]) ).
thf(zip_derived_cl439_053,plain,
( ( c2_1 @ a818 )
<= ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl207_054,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1162,plain,
( ( ~ ( c1_1 @ a818 )
| ~ ( c3_1 @ a818 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c2_1 @ a818 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl207]) ).
thf('130',plain,
( ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c3_1 @ a818 )
| ~ ( c2_1 @ a818 )
| ~ ( c1_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl1162]) ).
thf(zip_derived_cl74,plain,
( ~ hskp26
| ( c1_1 @ a818 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('131',plain,
( ( c1_1 @ a818 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('132',plain,
( ( c2_1 @ a818 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl42,plain,
! [X58: $i] :
( ( c0_1 @ X58 )
| ( c2_1 @ X58 )
| ~ ( c3_1 @ X58 )
| ~ ndr1_0
| hskp26
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('133',plain,
( hskp26
| ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ~ ndr1_0
| hskp28 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl347_055,plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
<= ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl543_056,plain,
( ~ ( c2_1 @ a839 )
<= ~ ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1868,plain,
( ( ~ ( c1_1 @ a839 )
| ( c0_1 @ a839 ) )
<= ( ~ ( c2_1 @ a839 )
& ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl543]) ).
thf('134',plain,
( ( c0_1 @ a839 )
| ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ~ ( c1_1 @ a839 )
| ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1868]) ).
thf('135',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c0_1 @ a839 )
| ~ ( c3_1 @ a839 )
| ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl765]) ).
thf('136',plain,
( ( c0_1 @ a839 )
| ~ ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ( c2_1 @ a839 )
| ~ ( c3_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1818]) ).
thf(zip_derived_cl150,plain,
( ~ hskp7
| ~ ( c1_1 @ a828 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ~ hskp7
| ~ ( c1_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl283_057,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl591_058,plain,
( ~ ( c2_1 @ a828 )
<= ~ ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl1106,plain,
( ( ( c3_1 @ a828 )
| ( c1_1 @ a828 ) )
<= ( ~ ( c2_1 @ a828 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl591]) ).
thf('138',plain,
( ( c3_1 @ a828 )
| ( c2_1 @ a828 )
| ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
| ( c1_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl1106]) ).
thf('139',plain,
( ( c0_1 @ a828 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('140',plain,
( ~ hskp7
| ~ ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl591_059,plain,
( ~ ( c2_1 @ a828 )
<= ~ ( c2_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl224_060,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl793,plain,
( ( ~ ( c0_1 @ a828 )
| ~ ( c3_1 @ a828 ) )
<= ( ~ ( c2_1 @ a828 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl591,zip_derived_cl224]) ).
thf('141',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c3_1 @ a828 )
| ( c2_1 @ a828 )
| ~ ( c0_1 @ a828 ) ),
inference(split,[status(esa)],[zip_derived_cl793]) ).
thf(zip_derived_cl627_061,plain,
( ( c2_1 @ a817 )
<= ( c2_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl382_062,plain,
( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
<= ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl1707,plain,
( ( ( c0_1 @ a817 )
| ( c1_1 @ a817 ) )
<= ( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
& ( c2_1 @ a817 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl382]) ).
thf('142',plain,
( ~ ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) )
| ( c1_1 @ a817 )
| ~ ( c2_1 @ a817 )
| ( c0_1 @ a817 ) ),
inference(split,[status(esa)],[zip_derived_cl1707]) ).
thf(zip_derived_cl37,plain,
! [X49: $i,X50: $i,X51: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ndr1_0
| ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ndr1_0
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('143',plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl173,plain,
( ~ hskp1
| ( c0_1 @ a816 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('144',plain,
( ( c0_1 @ a816 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl174,plain,
( ~ hskp1
| ( c3_1 @ a816 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('145',plain,
( ( c3_1 @ a816 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl175,plain,
( ~ hskp1
| ~ ( c2_1 @ a816 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ~ ( c2_1 @ a816 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl639,plain,
( ~ ( c2_1 @ a816 )
<= ~ ( c2_1 @ a816 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl224_063,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl807,plain,
( ( ~ ( c0_1 @ a816 )
| ~ ( c3_1 @ a816 ) )
<= ( ~ ( c2_1 @ a816 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl224]) ).
thf('147',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c0_1 @ a816 )
| ( c2_1 @ a816 )
| ~ ( c3_1 @ a816 ) ),
inference(split,[status(esa)],[zip_derived_cl807]) ).
thf(zip_derived_cl398_064,plain,
( ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
<= ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl471_065,plain,
( ~ ( c2_1 @ a860 )
<= ~ ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl2123,plain,
( ( ( c1_1 @ a860 )
| ( c0_1 @ a860 ) )
<= ( ~ ( c2_1 @ a860 )
& ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl398,zip_derived_cl471]) ).
thf('148',plain,
( ~ ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| ( c0_1 @ a860 )
| ( c1_1 @ a860 )
| ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl2123]) ).
thf(zip_derived_cl342,plain,
( ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
<= ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl543_066,plain,
( ~ ( c2_1 @ a839 )
<= ~ ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1572,plain,
( ( ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 ) )
<= ( ~ ( c2_1 @ a839 )
& ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl543]) ).
thf('149',plain,
( ~ ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 )
| ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1572]) ).
thf(zip_derived_cl125,plain,
( ~ hskp13
| ( c1_1 @ a839 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ( c1_1 @ a839 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl126,plain,
( ~ hskp13
| ( c3_1 @ a839 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('151',plain,
( ( c3_1 @ a839 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf('152',plain,
( ~ ( c2_1 @ a839 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl283_067,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl581_068,plain,
( ~ ( c2_1 @ a830 )
<= ~ ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl1107,plain,
( ( ( c3_1 @ a830 )
| ( c1_1 @ a830 ) )
<= ( ~ ( c2_1 @ a830 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl581]) ).
thf('153',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
| ( c1_1 @ a830 )
| ( c2_1 @ a830 )
| ( c3_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1107]) ).
thf('154',plain,
( hskp8
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0
| ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('155',plain,
( hskp27
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl71,plain,
( ~ hskp27
| ( c3_1 @ a826 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('156',plain,
( ( c3_1 @ a826 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl597_069,plain,
( ( c2_1 @ a827 )
<= ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl312_070,plain,
( ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
<= ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1481,plain,
( ( ( c0_1 @ a827 )
| ~ ( c1_1 @ a827 ) )
<= ( ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
& ( c2_1 @ a827 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl312]) ).
thf('157',plain,
( ( c0_1 @ a827 )
| ~ ( c1_1 @ a827 )
| ~ ! [X44: $i] :
( ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 )
| ~ ( c2_1 @ X44 ) )
| ~ ( c2_1 @ a827 ) ),
inference(split,[status(esa)],[zip_derived_cl1481]) ).
thf(zip_derived_cl429_071,plain,
( ( c2_1 @ a826 )
<= ( c2_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl207_072,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1144,plain,
( ( ~ ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c2_1 @ a826 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl429,zip_derived_cl207]) ).
thf('158',plain,
( ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c1_1 @ a826 )
| ~ ( c3_1 @ a826 )
| ~ ( c2_1 @ a826 ) ),
inference(split,[status(esa)],[zip_derived_cl1144]) ).
thf(zip_derived_cl30,plain,
! [X34: $i,X35: $i,X36: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ndr1_0
| ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ndr1_0
| ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('159',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
| ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf('160',plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ),
inference('sat_resolution*',[status(thm)],['1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159']) ).
thf(zip_derived_cl7835,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1046,'160']) ).
thf(zip_derived_cl459_073,plain,
( ( c0_1 @ a862 )
<= ( c0_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl8006,plain,
( ( ( c1_1 @ a862 )
| ~ ( c3_1 @ a862 ) )
<= ( ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
& ( c0_1 @ a862 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7835,zip_derived_cl459]) ).
thf('161',plain,
( ~ ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ( c0_1 @ a862 )
| ~ ( c3_1 @ a862 )
| ( c1_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl8006]) ).
thf(zip_derived_cl2,plain,
( hskp23
| hskp25
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( hskp23
| hskp25
| hskp5 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl77,plain,
( ~ hskp25
| ( c1_1 @ a892 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ~ hskp25
| ( c1_1 @ a892 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl78,plain,
( ~ hskp25
| ( c2_1 @ a892 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('164',plain,
( ( c2_1 @ a892 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl79,plain,
( ~ hskp25
| ~ ( c3_1 @ a892 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('165',plain,
( ~ hskp25
| ~ ( c3_1 @ a892 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl445,plain,
( ( c2_1 @ a892 )
<= ( c2_1 @ a892 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl211_074,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1168,plain,
( ( ( c3_1 @ a892 )
| ~ ( c1_1 @ a892 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a892 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl211]) ).
thf('166',plain,
( ( c3_1 @ a892 )
| ~ ( c1_1 @ a892 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a892 ) ),
inference(split,[status(esa)],[zip_derived_cl1168]) ).
thf(zip_derived_cl611_075,plain,
( ( c2_1 @ a821 )
<= ( c2_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl314_076,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1625,plain,
( ( ( c0_1 @ a821 )
| ( c3_1 @ a821 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
& ( c2_1 @ a821 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl314]) ).
thf('167',plain,
( ~ ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ( c3_1 @ a821 )
| ( c0_1 @ a821 )
| ~ ( c2_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl1625]) ).
thf(zip_derived_cl375_077,plain,
( ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
<= ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl613,plain,
( ~ ( c0_1 @ a821 )
<= ~ ( c0_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl1961,plain,
( ( ~ ( c3_1 @ a821 )
| ( c1_1 @ a821 ) )
<= ( ~ ( c0_1 @ a821 )
& ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl613]) ).
thf('168',plain,
( ~ ( c3_1 @ a821 )
| ~ ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ( c0_1 @ a821 )
| ( c1_1 @ a821 ) ),
inference(split,[status(esa)],[zip_derived_cl1961]) ).
thf(zip_derived_cl390_078,plain,
( ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
<= ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl579_079,plain,
( ~ ( c0_1 @ a830 )
<= ~ ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl2056,plain,
( ( ( c3_1 @ a830 )
| ( c1_1 @ a830 ) )
<= ( ~ ( c0_1 @ a830 )
& ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl579]) ).
thf('169',plain,
( ~ ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
| ( c1_1 @ a830 )
| ( c3_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl2056]) ).
thf('170',plain,
( hskp20
| ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ndr1_0
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf('171',plain,
( ~ ( c1_1 @ a856 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf('172',plain,
( ~ ( c2_1 @ a856 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf('173',plain,
( ( c1_1 @ a856 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ( c2_1 @ a856 )
| ~ ( c3_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl978]) ).
thf('174',plain,
( hskp9
| ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf('175',plain,
( ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ~ ( c1_1 @ a830 )
| ( c2_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1867]) ).
thf('176',plain,
( ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ~ ndr1_0
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf('177',plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ~ ndr1_0
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf('178',plain,
( ~ ( c3_1 @ a839 )
| ~ ( c1_1 @ a839 )
| ~ ! [X61: $i] :
( ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 ) )
| ( c2_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1572]) ).
thf('179',plain,
( ! [X83: $i] :
( ( c0_1 @ X83 )
| ( c1_1 @ X83 )
| ( c3_1 @ X83 ) )
| ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('180',plain,
( ( c0_1 @ a839 )
| ~ ( c3_1 @ a839 )
| ~ ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ( c1_1 @ a839 ) ),
inference(split,[status(esa)],[zip_derived_cl1378]) ).
thf('181',plain,
( hskp6
| ! [X14: $i] :
( ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) )
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf('182',plain,
( hskp2
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ndr1_0
| ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf('183',plain,
( ~ ( c0_1 @ a831 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf('184',plain,
( ~ ( c1_1 @ a831 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf('185',plain,
( ~ ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) )
| ( c0_1 @ a831 )
| ( c1_1 @ a831 )
| ~ ( c3_1 @ a831 ) ),
inference(split,[status(esa)],[zip_derived_cl1966]) ).
thf('186',plain,
( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| hskp9
| ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('187',plain,
( ( c3_1 @ a842 )
| ~ ( c1_1 @ a842 )
| ~ ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ~ ( c0_1 @ a842 ) ),
inference(split,[status(esa)],[zip_derived_cl1457]) ).
thf('188',plain,
( hskp14
| hskp13
| ~ ndr1_0
| ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('189',plain,
( ~ ( c0_1 @ a827 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf('190',plain,
( ! [X54: $i] :
( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 ) )
| hskp6
| ~ ndr1_0
| ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('191',plain,
( ~ ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) )
| ~ ( c1_1 @ a830 )
| ( c3_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl1739]) ).
thf('192',plain,
( hskp8
| ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c0_1 @ X12 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf('193',plain,
( ( c3_1 @ a818 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c1_1 @ a818 )
| ~ ( c2_1 @ a818 ) ),
inference(split,[status(esa)],[zip_derived_cl1163]) ).
thf('194',plain,
( ( c0_1 @ a860 )
| ( c1_1 @ a860 )
| ~ ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| ( c2_1 @ a860 ) ),
inference(split,[status(esa)],[zip_derived_cl2123]) ).
thf(zip_derived_cl334_080,plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
<= ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl487_081,plain,
( ~ ( c2_1 @ a856 )
<= ~ ( c2_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1822,plain,
( ( ~ ( c3_1 @ a856 )
| ( c0_1 @ a856 ) )
<= ( ~ ( c2_1 @ a856 )
& ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl487]) ).
thf('195',plain,
( ( c0_1 @ a856 )
| ( c2_1 @ a856 )
| ~ ! [X57: $i] :
( ( c0_1 @ X57 )
| ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) )
| ~ ( c3_1 @ a856 ) ),
inference(split,[status(esa)],[zip_derived_cl1822]) ).
thf('196',plain,
( ~ ( c0_1 @ a825 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf('197',plain,
( ~ ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ( c3_1 @ a825 )
| ( c0_1 @ a825 )
| ~ ( c1_1 @ a825 ) ),
inference(split,[status(esa)],[zip_derived_cl1372]) ).
thf('198',plain,
( ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) )
| ~ ndr1_0
| ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf('199',plain,
( ~ ( c1_1 @ a815 )
| ( c3_1 @ a815 )
| ~ ! [X43: $i] :
( ( c3_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 ) )
| ~ ( c0_1 @ a815 ) ),
inference(split,[status(esa)],[zip_derived_cl1451]) ).
thf('200',plain,
( ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| hskp0
| ~ ndr1_0
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ( c3_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('201',plain,
( ( c1_1 @ a830 )
| ~ ! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ( c2_1 @ X86 ) )
| ( c2_1 @ a830 )
| ( c0_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl2116]) ).
thf('202',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ~ ( c1_1 @ a830 )
| ( c3_1 @ a830 )
| ( c2_1 @ a830 ) ),
inference(split,[status(esa)],[zip_derived_cl781]) ).
thf('203',plain,
( hskp23
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ~ ndr1_0
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl272_082,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl256_083,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1024,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c1_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl256]) ).
thf(zip_derived_cl1047,plain,
( ! [X0: $i] :
( ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1024]) ).
thf('204',plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c0_1 @ X24 ) ),
inference('sat_resolution*',[status(thm)],['1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159']) ).
thf(zip_derived_cl7836,plain,
( ! [X0: $i] :
( ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl1047,'204']) ).
thf(zip_derived_cl459_084,plain,
( ( c0_1 @ a862 )
<= ( c0_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl7916,plain,
( ( c1_1 @ a862 )
<= ( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
& ( c0_1 @ a862 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7836,zip_derived_cl459]) ).
thf(zip_derived_cl463,plain,
( ~ ( c1_1 @ a862 )
<= ~ ( c1_1 @ a862 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf('205',plain,
( ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 ) )
| ~ ( c0_1 @ a862 )
| ( c1_1 @ a862 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7916,zip_derived_cl463]) ).
thf(zip_derived_cl8844,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','161','162','163','164','165','166','167','168','169','3','4','5','170','7','8','9','10','11','12','13','15','171','172','173','174','20','175','41','42','176','21','22','23','24','25','26','27','28','37','38','39','40','29','30','35','50','51','52','53','177','178','55','56','57','58','59','60','61','159','63','154','65','66','179','68','69','70','71','72','180','77','78','79','80','81','82','83','181','85','158','86','156','155','87','88','89','182','91','183','184','185','186','187','188','104','105','189','190','153','108','109','110','191','192','113','114','115','116','117','118','119','120','121','122','123','124','125','126','193','128','129','130','131','132','133','150','134','135','151','152','136','157','138','141','142','144','145','146','147','194','74','75','76','103','62','139','137','140','143','195','98','99','196','197','198','46','47','48','199','200','201','202','203','2','205','14','31','32','33','34']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN452+1 : TPTP v9.2.0. Released v2.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VhgqBAlsq0 true
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 13:38:08 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.58/0.64 % Total configuration time : 435
% 0.58/0.64 % Estimated wc time : 1092
% 0.58/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 7.33/1.66 % Solved by fo/fo1_av.sh.
% 7.33/1.66 % done 2343 iterations in 0.844s
% 7.33/1.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.33/1.66 % SZS output start Refutation
% See solution above
% 7.49/1.67
% 7.49/1.67
% 7.49/1.67 % Terminating...
% 7.49/1.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 7.90/1.79 % Runner terminated.
% 7.90/1.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------