%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN483+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.Ge4NMnBw1L true
% Computer : n006.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 05:05:04 PM UTC 2025
% Result : Theorem 9.96s 1.93s
% Output : Refutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 549 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 4003 ( 0 equ; 0 cnn)
% Maximal formula atoms : 711 ( 7 avg)
% Number of connectives : 8544 (2058 ~;2509 |; 483 &;3032 @)
% ( 0 <=>; 222 =>; 240 <=; 0 <~>)
% Maximal formula depth : 109 ( 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 : 706 ( 0 ^; 706 !; 0 ?; 706 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a1855_type,type,
a1855: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a1865_type,type,
a1865: $i ).
thf(a1911_type,type,
a1911: $i ).
thf(a1878_type,type,
a1878: $i ).
thf(a1872_type,type,
a1872: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a1852_type,type,
a1852: $i ).
thf(a1860_type,type,
a1860: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a1853_type,type,
a1853: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a1856_type,type,
a1856: $i ).
thf(a1884_type,type,
a1884: $i ).
thf(a1899_type,type,
a1899: $i ).
thf(a1885_type,type,
a1885: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a1864_type,type,
a1864: $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(a1863_type,type,
a1863: $i ).
thf(a1866_type,type,
a1866: $i ).
thf(a1875_type,type,
a1875: $i ).
thf(a1898_type,type,
a1898: $i ).
thf(a1858_type,type,
a1858: $i ).
thf(a1874_type,type,
a1874: $i ).
thf(a1870_type,type,
a1870: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a1890_type,type,
a1890: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a1861_type,type,
a1861: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a1960_type,type,
a1960: $i ).
thf(a1862_type,type,
a1862: $i ).
thf(a1867_type,type,
a1867: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a1868_type,type,
a1868: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a1857_type,type,
a1857: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a1919_type,type,
a1919: $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(a1854_type,type,
a1854: $i ).
thf(a1877_type,type,
a1877: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a1852 )
& ( c3_1 @ a1852 )
& ~ ( c2_1 @ a1852 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a1853 )
& ( c3_1 @ a1853 )
& ~ ( c0_1 @ a1853 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a1854 )
& ( c2_1 @ a1854 )
& ~ ( c3_1 @ a1854 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a1855 )
& ~ ( c1_1 @ a1855 )
& ~ ( c2_1 @ a1855 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a1856 )
& ( c3_1 @ a1856 )
& ~ ( c1_1 @ a1856 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a1857 )
& ~ ( c0_1 @ a1857 )
& ~ ( c3_1 @ a1857 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a1860 )
& ~ ( c0_1 @ a1860 )
& ~ ( c2_1 @ a1860 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1861 )
& ~ ( c1_1 @ a1861 )
& ~ ( c2_1 @ a1861 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a1862 )
& ( c1_1 @ a1862 )
& ~ ( c2_1 @ a1862 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c2_1 @ a1863 )
& ~ ( c1_1 @ a1863 )
& ~ ( c3_1 @ a1863 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a1864 )
& ( c3_1 @ a1864 )
& ~ ( c1_1 @ a1864 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ ( c0_1 @ a1865 )
& ~ ( c2_1 @ a1865 )
& ~ ( c3_1 @ a1865 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c3_1 @ a1866 )
& ~ ( c0_1 @ a1866 )
& ~ ( c2_1 @ a1866 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a1867 )
& ~ ( c2_1 @ a1867 )
& ~ ( c3_1 @ a1867 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a1868 )
& ( c3_1 @ a1868 )
& ~ ( c2_1 @ a1868 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a1870 )
& ~ ( c0_1 @ a1870 )
& ~ ( c3_1 @ a1870 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a1872 )
& ( c3_1 @ a1872 )
& ~ ( c0_1 @ a1872 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a1874 )
& ( c2_1 @ a1874 )
& ~ ( c1_1 @ a1874 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a1875 )
& ( c1_1 @ a1875 )
& ~ ( c3_1 @ a1875 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a1884 )
& ~ ( c1_1 @ a1884 )
& ~ ( c3_1 @ a1884 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a1890 )
& ~ ( c0_1 @ a1890 )
& ~ ( c1_1 @ a1890 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a1898 )
& ~ ( c0_1 @ a1898 )
& ~ ( c1_1 @ a1898 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a1899 )
& ~ ( c2_1 @ a1899 )
& ~ ( c3_1 @ a1899 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a1911 )
& ~ ( c1_1 @ a1911 )
& ~ ( c3_1 @ a1911 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c3_1 @ a1919 )
& ~ ( c1_1 @ a1919 )
& ~ ( c2_1 @ a1919 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a1960 )
& ( c2_1 @ a1960 )
& ~ ( c0_1 @ a1960 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a1858 )
& ( c1_1 @ a1858 )
& ( c3_1 @ a1858 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a1877 )
& ( c2_1 @ a1877 )
& ( c3_1 @ a1877 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c1_1 @ a1878 )
& ( c2_1 @ a1878 )
& ( c3_1 @ a1878 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a1885 )
& ( c1_1 @ a1885 )
& ( c2_1 @ a1885 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ~ ( c1_1 @ X )
| ~ ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c1_1 @ Y )
| ~ ( c0_1 @ Y )
| ~ ( c2_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c2_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) )
| hskp1 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| hskp2
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c2_1 @ X6 ) ) )
| hskp4
| hskp5 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c1_1 @ X8 )
| ( c2_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| hskp26 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c0_1 @ X10 ) ) )
| hskp3 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ( c3_1 @ X11 ) ) )
| ! [X12: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X12 )
| ~ ( c1_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) )
| hskp6 )
& ( ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c1_1 @ X13 )
| ( c3_1 @ X13 ) ) )
| ! [X14: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| hskp7 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c1_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp8
| hskp9 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp10
| hskp11 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp12
| hskp13 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp14
| hskp4 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp15
| hskp3 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c1_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp16
| hskp13 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ~ ( c1_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| hskp17 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| hskp18
| hskp17 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| hskp27
| hskp28 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| hskp3 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ~ ( c1_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp8 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp1
| hskp9 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp11 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp19 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp29
| hskp26 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ~ ( c0_1 @ X36 ) ) )
| hskp27 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp8 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| hskp29 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) )
| hskp20
| hskp19 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) ) )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| ! [X46: $i] :
( ndr1_0
=> ( ( c2_1 @ X46 )
| ~ ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 ) ) )
| hskp16 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 ) ) )
| hskp15 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| hskp27 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c2_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) ) )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c2_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c1_1 @ X56 ) ) ) )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c3_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) )
| hskp27 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) ) )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ( c2_1 @ X62 )
| ( c3_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c1_1 @ X63 ) ) )
| hskp9 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) )
| hskp8
| hskp21 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| hskp22
| hskp16 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp26
| hskp27 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| hskp9 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| hskp29
| hskp20 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp9
| hskp13 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp5 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) ) )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c2_1 @ X78 ) ) )
| hskp8
| hskp23 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c1_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) )
| hskp8
| hskp18 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c1_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp26
| hskp23 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp7
| hskp1 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| hskp18 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ( c3_1 @ X84 )
| ~ ( c0_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) ) )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 ) ) )
| ! [X88: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X88 )
| ~ ( c2_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp24 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c2_1 @ X89 )
| ( c3_1 @ X89 )
| ~ ( c1_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ( c2_1 @ X90 )
| ~ ( c0_1 @ X90 )
| ~ ( c1_1 @ X90 ) ) )
| ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c1_1 @ X91 ) ) ) )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c2_1 @ X92 )
| ( c3_1 @ X92 )
| ~ ( c1_1 @ X92 ) ) )
| ! [X93: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X93 )
| ~ ( c1_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| hskp20 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c2_1 @ X94 )
| ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 ) ) )
| hskp17
| hskp15 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ( c2_1 @ X95 )
| ( c3_1 @ X95 )
| ~ ( c1_1 @ X95 ) ) )
| hskp15
| hskp9 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ( c2_1 @ X96 )
| ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 ) ) )
| ! [X97: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp10 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ( c2_1 @ X98 )
| ~ ( c0_1 @ X98 )
| ~ ( c1_1 @ X98 ) ) )
| hskp26
| hskp10 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c2_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp27
| hskp22 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c2_1 @ X100 )
| ~ ( c1_1 @ X100 )
| ~ ( c3_1 @ X100 ) ) )
| ! [X101: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ( c3_1 @ X101 ) ) )
| hskp16 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ( c2_1 @ X102 )
| ~ ( c1_1 @ X102 )
| ~ ( c3_1 @ X102 ) ) )
| hskp14
| hskp19 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X103 )
| ~ ( c1_1 @ X103 )
| ~ ( c2_1 @ X103 ) ) )
| hskp26
| hskp3 )
& ( ! [X104: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ( c2_1 @ X104 ) ) )
| hskp0
| hskp24 )
& ( ! [X105: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X105 )
| ~ ( c2_1 @ X105 )
| ~ ( c3_1 @ X105 ) ) )
| hskp28
| hskp0 )
& ( hskp29
| hskp27
| hskp1 )
& ( hskp8
| hskp17
| hskp16 )
& ( hskp8
| hskp10
| hskp24 )
& ( hskp18
| hskp10
| hskp15 )
& ( hskp18
| hskp22
| hskp12 )
& ( hskp18
| hskp1
| hskp6 )
& ( hskp10
| hskp28
| hskp0 )
& ( hskp25
| hskp6
| hskp5 )
& ( hskp25
| hskp9
| hskp24 )
& ( hskp15
| hskp4
| hskp19 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a1852 )
& ( c3_1 @ a1852 )
& ~ ( c2_1 @ a1852 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a1853 )
& ( c3_1 @ a1853 )
& ~ ( c0_1 @ a1853 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a1854 )
& ( c2_1 @ a1854 )
& ~ ( c3_1 @ a1854 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a1855 )
& ~ ( c1_1 @ a1855 )
& ~ ( c2_1 @ a1855 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a1856 )
& ( c3_1 @ a1856 )
& ~ ( c1_1 @ a1856 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a1857 )
& ~ ( c0_1 @ a1857 )
& ~ ( c3_1 @ a1857 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a1860 )
& ~ ( c0_1 @ a1860 )
& ~ ( c2_1 @ a1860 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1861 )
& ~ ( c1_1 @ a1861 )
& ~ ( c2_1 @ a1861 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a1862 )
& ( c1_1 @ a1862 )
& ~ ( c2_1 @ a1862 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c2_1 @ a1863 )
& ~ ( c1_1 @ a1863 )
& ~ ( c3_1 @ a1863 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a1864 )
& ( c3_1 @ a1864 )
& ~ ( c1_1 @ a1864 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ ( c0_1 @ a1865 )
& ~ ( c2_1 @ a1865 )
& ~ ( c3_1 @ a1865 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c3_1 @ a1866 )
& ~ ( c0_1 @ a1866 )
& ~ ( c2_1 @ a1866 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a1867 )
& ~ ( c2_1 @ a1867 )
& ~ ( c3_1 @ a1867 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a1868 )
& ( c3_1 @ a1868 )
& ~ ( c2_1 @ a1868 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a1870 )
& ~ ( c0_1 @ a1870 )
& ~ ( c3_1 @ a1870 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a1872 )
& ( c3_1 @ a1872 )
& ~ ( c0_1 @ a1872 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a1874 )
& ( c2_1 @ a1874 )
& ~ ( c1_1 @ a1874 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a1875 )
& ( c1_1 @ a1875 )
& ~ ( c3_1 @ a1875 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a1884 )
& ~ ( c1_1 @ a1884 )
& ~ ( c3_1 @ a1884 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a1890 )
& ~ ( c0_1 @ a1890 )
& ~ ( c1_1 @ a1890 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a1898 )
& ~ ( c0_1 @ a1898 )
& ~ ( c1_1 @ a1898 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a1899 )
& ~ ( c2_1 @ a1899 )
& ~ ( c3_1 @ a1899 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a1911 )
& ~ ( c1_1 @ a1911 )
& ~ ( c3_1 @ a1911 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c3_1 @ a1919 )
& ~ ( c1_1 @ a1919 )
& ~ ( c2_1 @ a1919 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a1960 )
& ( c2_1 @ a1960 )
& ~ ( c0_1 @ a1960 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a1858 )
& ( c1_1 @ a1858 )
& ( c3_1 @ a1858 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a1877 )
& ( c2_1 @ a1877 )
& ( c3_1 @ a1877 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c1_1 @ a1878 )
& ( c2_1 @ a1878 )
& ( c3_1 @ a1878 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a1885 )
& ( c1_1 @ a1885 )
& ( c2_1 @ a1885 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c2_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ~ ( c1_1 @ X )
| ~ ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c1_1 @ Y )
| ~ ( c0_1 @ Y )
| ~ ( c2_1 @ Y ) ) ) )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c2_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c2_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) )
| hskp1 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| hskp2
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ( c2_1 @ X6 ) ) )
| hskp4
| hskp5 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c1_1 @ X8 )
| ( c2_1 @ X8 )
| ( c3_1 @ X8 ) ) )
| hskp26 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c0_1 @ X10 ) ) )
| hskp3 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ( c3_1 @ X11 ) ) )
| ! [X12: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X12 )
| ~ ( c1_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) )
| hskp6 )
& ( ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c1_1 @ X13 )
| ( c3_1 @ X13 ) ) )
| ! [X14: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| hskp7 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c1_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp8
| hskp9 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp10
| hskp11 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp12
| hskp13 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp14
| hskp4 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp15
| hskp3 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c1_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp16
| hskp13 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ~ ( c1_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| hskp17 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| hskp18
| hskp17 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| hskp27
| hskp28 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| hskp3 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ~ ( c1_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp8 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp1
| hskp9 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp11 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp19 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| hskp29
| hskp26 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ~ ( c0_1 @ X36 ) ) )
| hskp27 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp8 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| hskp29 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) )
| hskp20
| hskp19 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c2_1 @ X44 ) ) ) )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| ! [X46: $i] :
( ndr1_0
=> ( ( c2_1 @ X46 )
| ~ ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 ) ) )
| hskp16 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 ) ) )
| hskp15 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| hskp27 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c2_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) ) )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c2_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c1_1 @ X56 ) ) ) )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ( c3_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 ) ) )
| hskp27 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ( c2_1 @ X59 )
| ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) ) )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ( c2_1 @ X62 )
| ( c3_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c1_1 @ X63 ) ) )
| hskp9 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) )
| hskp8
| hskp21 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| hskp22
| hskp16 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp26
| hskp27 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| hskp9 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| hskp29
| hskp20 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp9
| hskp13 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp5 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) ) )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c2_1 @ X78 ) ) )
| hskp8
| hskp23 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c1_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) )
| hskp8
| hskp18 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c1_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp26
| hskp23 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp7
| hskp1 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| ! [X83: $i] :
( ndr1_0
=> ( ( c2_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| hskp18 )
& ( ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ( c3_1 @ X84 )
| ~ ( c0_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ( c2_1 @ X85 )
| ~ ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 ) ) ) )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c2_1 @ X87 )
| ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 ) ) )
| ! [X88: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X88 )
| ~ ( c2_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp24 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c2_1 @ X89 )
| ( c3_1 @ X89 )
| ~ ( c1_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ( c2_1 @ X90 )
| ~ ( c0_1 @ X90 )
| ~ ( c1_1 @ X90 ) ) )
| ! [X91: $i] :
( ndr1_0
=> ( ( c3_1 @ X91 )
| ~ ( c0_1 @ X91 )
| ~ ( c1_1 @ X91 ) ) ) )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c2_1 @ X92 )
| ( c3_1 @ X92 )
| ~ ( c1_1 @ X92 ) ) )
| ! [X93: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X93 )
| ~ ( c1_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| hskp20 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c2_1 @ X94 )
| ( c3_1 @ X94 )
| ~ ( c1_1 @ X94 ) ) )
| hskp17
| hskp15 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ( c2_1 @ X95 )
| ( c3_1 @ X95 )
| ~ ( c1_1 @ X95 ) ) )
| hskp15
| hskp9 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ( c2_1 @ X96 )
| ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 ) ) )
| ! [X97: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| hskp10 )
& ( ! [X98: $i] :
( ndr1_0
=> ( ( c2_1 @ X98 )
| ~ ( c0_1 @ X98 )
| ~ ( c1_1 @ X98 ) ) )
| hskp26
| hskp10 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c2_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp27
| hskp22 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c2_1 @ X100 )
| ~ ( c1_1 @ X100 )
| ~ ( c3_1 @ X100 ) ) )
| ! [X101: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ( c3_1 @ X101 ) ) )
| hskp16 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ( c2_1 @ X102 )
| ~ ( c1_1 @ X102 )
| ~ ( c3_1 @ X102 ) ) )
| hskp14
| hskp19 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X103 )
| ~ ( c1_1 @ X103 )
| ~ ( c2_1 @ X103 ) ) )
| hskp26
| hskp3 )
& ( ! [X104: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ( c2_1 @ X104 ) ) )
| hskp0
| hskp24 )
& ( ! [X105: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X105 )
| ~ ( c2_1 @ X105 )
| ~ ( c3_1 @ X105 ) ) )
| hskp28
| hskp0 )
& ( hskp29
| hskp27
| hskp1 )
& ( hskp8
| hskp17
| hskp16 )
& ( hskp8
| hskp10
| hskp24 )
& ( hskp18
| hskp10
| hskp15 )
& ( hskp18
| hskp22
| hskp12 )
& ( hskp18
| hskp1
| hskp6 )
& ( hskp10
| hskp28
| hskp0 )
& ( hskp25
| hskp6
| hskp5 )
& ( hskp25
| hskp9
| hskp24 )
& ( hskp15
| hskp4
| hskp19 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl117,plain,
( ~ hskp19
| ~ ( c0_1 @ a1884 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( c0_1 @ a1884 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl118,plain,
( ~ hskp19
| ~ ( c1_1 @ a1884 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ~ ( c1_1 @ a1884 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp19
| ~ ( c3_1 @ a1884 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ~ ( c3_1 @ a1884 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl52,plain,
! [X72: $i,X73: $i] :
( ( c0_1 @ X72 )
| ( c3_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ndr1_0
| ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 )
| ~ ndr1_0
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( hskp19
| ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 ) )
| ~ ndr1_0
| ! [X73: $i] :
( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl51,plain,
! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 )
| ~ ndr1_0
| hskp29
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl390,plain,
( ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 ) )
<= ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl135,plain,
( ~ hskp15
| ~ ( c3_1 @ a1870 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl608,plain,
( ~ ( c3_1 @ a1870 )
<= ~ ( c3_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl1870,plain,
( ( ~ ( c1_1 @ a1870 )
| ( c0_1 @ a1870 ) )
<= ( ~ ( c3_1 @ a1870 )
& ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl608]) ).
thf('4',plain,
( ~ ! [X71: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 ) )
| ( c0_1 @ a1870 )
| ~ ( c1_1 @ a1870 )
| ( c3_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl1870]) ).
thf(zip_derived_cl134,plain,
( ~ hskp15
| ~ ( c0_1 @ a1870 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ~ ( c0_1 @ a1870 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl61,plain,
! [X86: $i] :
( ( c0_1 @ X86 )
| ( c1_1 @ X86 )
| ~ ( c3_1 @ X86 )
| ~ ndr1_0
| hskp15
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( hskp15
| ! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) )
| hskp3
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl109,plain,
( ~ hskp21
| ( c3_1 @ a1898 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl556,plain,
( ( c3_1 @ a1898 )
<= ( c3_1 @ a1898 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl60,plain,
! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 )
| ~ ndr1_0
| hskp16
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl426,plain,
( ! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) )
<= ! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl1762,plain,
( ( ( c0_1 @ a1898 )
| ( c1_1 @ a1898 ) )
<= ( ! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) )
& ( c3_1 @ a1898 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl426]) ).
thf('7',plain,
( ~ ! [X85: $i] :
( ( c0_1 @ X85 )
| ( c1_1 @ X85 )
| ~ ( c3_1 @ X85 ) )
| ~ ( c3_1 @ a1898 )
| ( c0_1 @ a1898 )
| ( c1_1 @ a1898 ) ),
inference(split,[status(esa)],[zip_derived_cl1762]) ).
thf('8',plain,
( ( c3_1 @ a1898 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl110,plain,
( ~ hskp21
| ~ ( c0_1 @ a1898 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ~ ( c0_1 @ a1898 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp21
| ~ ( c1_1 @ a1898 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ~ ( c1_1 @ a1898 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl394,plain,
( ! [X73: $i] :
( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) )
<= ! [X73: $i] :
( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl123,plain,
( ~ hskp18
| ~ ( c3_1 @ a1875 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl584,plain,
( ~ ( c3_1 @ a1875 )
<= ~ ( c3_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1706,plain,
( ( ~ ( c2_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) )
<= ( ~ ( c3_1 @ a1875 )
& ! [X73: $i] :
( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl584]) ).
thf('11',plain,
( ~ ! [X73: $i] :
( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) )
| ~ ( c2_1 @ a1875 )
| ( c3_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl1706]) ).
thf(zip_derived_cl30,plain,
! [X31: $i,X32: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ndr1_0
| ~ ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ndr1_0
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( hskp21
| ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl306,plain,
( ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
<= ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl159,plain,
( ~ hskp9
| ~ ( c3_1 @ a1863 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl656,plain,
( ~ ( c3_1 @ a1863 )
<= ~ ( c3_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1104,plain,
( ( ~ ( c0_1 @ a1863 )
| ( c1_1 @ a1863 ) )
<= ( ~ ( c3_1 @ a1863 )
& ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl656]) ).
thf('13',plain,
( ~ ! [X31: $i] :
( ( c1_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c0_1 @ X31 ) )
| ~ ( c0_1 @ a1863 )
| ( c1_1 @ a1863 )
| ( c3_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl1104]) ).
thf(zip_derived_cl4,plain,
( hskp18
| hskp1
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( hskp18
| hskp6
| hskp1 ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl83,plain,
( ~ hskp28
| ( c3_1 @ a1878 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl504,plain,
( ( c3_1 @ a1878 )
<= ( c3_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl45,plain,
! [X59: $i,X60: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0
| ( c2_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1547,plain,
( ( ( c0_1 @ a1878 )
| ~ ( c1_1 @ a1878 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c3_1 @ a1878 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl367]) ).
thf('15',plain,
( ( c0_1 @ a1878 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ~ ( c3_1 @ a1878 )
| ~ ( c1_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1547]) ).
thf(zip_derived_cl46,plain,
! [X61: $i,X62: $i,X63: $i] :
( ( c0_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 )
| ~ ndr1_0
| ( c1_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ( c2_1 @ X62 )
| ~ ndr1_0
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl656_001,plain,
( ~ ( c3_1 @ a1863 )
<= ~ ( c3_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1590,plain,
( ( ~ ( c2_1 @ a1863 )
| ~ ( c0_1 @ a1863 ) )
<= ( ~ ( c3_1 @ a1863 )
& ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl656]) ).
thf('16',plain,
( ~ ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c0_1 @ a1863 )
| ( c3_1 @ a1863 )
| ~ ( c2_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl1590]) ).
thf(zip_derived_cl87,plain,
( ~ hskp27
| ( c3_1 @ a1877 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl512,plain,
( ( c3_1 @ a1877 )
<= ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl24,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 )
| ~ ndr1_0
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ( c1_1 @ X23 )
| ~ ndr1_0
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,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_cl1173,plain,
( ( ( c1_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl283]) ).
thf('17',plain,
( ( c1_1 @ a1877 )
| ~ ( c3_1 @ a1877 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c2_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1173]) ).
thf(zip_derived_cl504_002,plain,
( ( c3_1 @ a1878 )
<= ( c3_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl17,plain,
! [X8: $i,X9: $i] :
( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ndr1_0
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl254,plain,
( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1155,plain,
( ( ~ ( c1_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) )
<= ( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a1878 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl254]) ).
thf('18',plain,
( ~ ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a1878 )
| ~ ( c3_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1155]) ).
thf(zip_derived_cl194,plain,
( ~ hskp0
| ( c3_1 @ a1852 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl726,plain,
( ( c3_1 @ a1852 )
<= ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp28
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1440,plain,
( ( ~ ( c0_1 @ a1852 )
| ~ ( c2_1 @ a1852 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl226]) ).
thf(zip_derived_cl2723,plain,
( ~ ( c0_1 @ a1852 )
<= ~ ( c0_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1440]) ).
thf(zip_derived_cl54,plain,
! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ndr1_0
| hskp1
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl402,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl2726,plain,
( ( ( c2_1 @ a1852 )
| ~ ( c1_1 @ a1852 ) )
<= ( ~ ( c0_1 @ a1852 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2723,zip_derived_cl402]) ).
thf('19',plain,
( ( c0_1 @ a1852 )
| ~ ( c1_1 @ a1852 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
| ( c2_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl2726]) ).
thf(zip_derived_cl121,plain,
( ~ hskp18
| ( c0_1 @ a1875 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl580,plain,
( ( c0_1 @ a1875 )
<= ( c0_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl16,plain,
! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ndr1_0
| hskp26
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl250,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1260,plain,
( ( ( c2_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c0_1 @ a1875 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl250]) ).
thf('20',plain,
( ( c2_1 @ a1875 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c0_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl1260]) ).
thf(zip_derived_cl91,plain,
( ~ hskp26
| ( c3_1 @ a1858 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl520,plain,
( ( c3_1 @ a1858 )
<= ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl254_003,plain,
( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1209,plain,
( ( ~ ( c1_1 @ a1858 )
| ~ ( c2_1 @ a1858 ) )
<= ( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a1858 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl254]) ).
thf('21',plain,
( ~ ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c2_1 @ a1858 )
| ~ ( c1_1 @ a1858 )
| ~ ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl1209]) ).
thf(zip_derived_cl74,plain,
! [X106: $i,X107: $i,X108: $i] :
( ( c0_1 @ X106 )
| ( c1_1 @ X106 )
| ( c2_1 @ X106 )
| ~ ndr1_0
| ( c0_1 @ X107 )
| ~ ( c1_1 @ X107 )
| ~ ( c2_1 @ X107 )
| ~ ndr1_0
| ( c1_1 @ X108 )
| ~ ( c0_1 @ X108 )
| ~ ( c2_1 @ X108 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
| ~ ndr1_0
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl153,plain,
( ~ hskp10
| ( c0_1 @ a1864 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl644,plain,
( ( c0_1 @ a1864 )
<= ( c0_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl27,plain,
! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 )
| ~ ndr1_0
| hskp8
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1342,plain,
( ( ( c1_1 @ a1864 )
| ~ ( c2_1 @ a1864 ) )
<= ( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
& ( c0_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl644,zip_derived_cl294]) ).
thf('23',plain,
( ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
| ~ ( c2_1 @ a1864 )
| ( c1_1 @ a1864 )
| ~ ( c0_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1342]) ).
thf(zip_derived_cl66,plain,
! [X91: $i,X92: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 )
| ~ ndr1_0
| ~ ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl451,plain,
( ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
<= ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl143,plain,
( ~ hskp13
| ~ ( c3_1 @ a1867 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl624,plain,
( ~ ( c3_1 @ a1867 )
<= ~ ( c3_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl2077,plain,
( ( ( c1_1 @ a1867 )
| ( c0_1 @ a1867 ) )
<= ( ~ ( c3_1 @ a1867 )
& ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl624]) ).
thf('24',plain,
( ( c0_1 @ a1867 )
| ( c3_1 @ a1867 )
| ~ ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
| ( c1_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl2077]) ).
thf(zip_derived_cl22,plain,
! [X17: $i,X18: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ndr1_0
| ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 )
| ~ ( c3_1 @ X18 )
| ~ ndr1_0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl275,plain,
( ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
<= ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl624_004,plain,
( ~ ( c3_1 @ a1867 )
<= ~ ( c3_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl911,plain,
( ( ~ ( c0_1 @ a1867 )
| ( c2_1 @ a1867 ) )
<= ( ~ ( c3_1 @ a1867 )
& ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl624]) ).
thf('25',plain,
( ~ ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ~ ( c0_1 @ a1867 )
| ( c3_1 @ a1867 )
| ( c2_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl911]) ).
thf(zip_derived_cl73,plain,
! [X103: $i,X104: $i,X105: $i] :
( ( c0_1 @ X103 )
| ( c1_1 @ X103 )
| ( c2_1 @ X103 )
| ~ ndr1_0
| ( c0_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ( c2_1 @ X104 )
| ~ ndr1_0
| ( c2_1 @ X105 )
| ~ ( c0_1 @ X105 )
| ~ ( c3_1 @ X105 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ndr1_0
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl154,plain,
( ~ hskp10
| ( c3_1 @ a1864 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl646,plain,
( ( c3_1 @ a1864 )
<= ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl32,plain,
! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 )
| ~ ndr1_0
| hskp9
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl314,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1354,plain,
( ( ( c1_1 @ a1864 )
| ( c2_1 @ a1864 ) )
<= ( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
& ( c3_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl314]) ).
thf('27',plain,
( ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ( c2_1 @ a1864 )
| ( c1_1 @ a1864 )
| ~ ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1354]) ).
thf(zip_derived_cl646_005,plain,
( ( c3_1 @ a1864 )
<= ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl283_006,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_cl1352,plain,
( ( ( c1_1 @ a1864 )
| ~ ( c2_1 @ a1864 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl283]) ).
thf('28',plain,
( ~ ( c2_1 @ a1864 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c3_1 @ a1864 )
| ( c1_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1352]) ).
thf(zip_derived_cl130,plain,
( ~ hskp16
| ( c3_1 @ a1872 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl598,plain,
( ( c3_1 @ a1872 )
<= ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl367_007,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1542,plain,
( ( ( c0_1 @ a1872 )
| ~ ( c1_1 @ a1872 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c3_1 @ a1872 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl367]) ).
thf('29',plain,
( ~ ( c1_1 @ a1872 )
| ( c0_1 @ a1872 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ~ ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1542]) ).
thf(zip_derived_cl598_008,plain,
( ( c3_1 @ a1872 )
<= ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl254_009,plain,
( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1285,plain,
( ( ~ ( c1_1 @ a1872 )
| ~ ( c2_1 @ a1872 ) )
<= ( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a1872 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl254]) ).
thf('30',plain,
( ~ ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a1872 )
| ~ ( c2_1 @ a1872 )
| ~ ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1285]) ).
thf(zip_derived_cl70,plain,
! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 )
| ~ ndr1_0
| hskp4
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
<= ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl21,plain,
! [X14: $i,X15: $i,X16: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c1_1 @ X14 )
| ~ ndr1_0
| ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ndr1_0
| ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl272,plain,
( ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl624_010,plain,
( ~ ( c3_1 @ a1867 )
<= ~ ( c3_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl869,plain,
( ( ~ ( c1_1 @ a1867 )
| ~ ( c0_1 @ a1867 ) )
<= ( ~ ( c3_1 @ a1867 )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl624]) ).
thf(zip_derived_cl900,plain,
( ~ ( c0_1 @ a1867 )
<= ~ ( c0_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl869]) ).
thf(zip_derived_cl2118,plain,
( ( ( c2_1 @ a1867 )
| ( c1_1 @ a1867 ) )
<= ( ~ ( c0_1 @ a1867 )
& ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl900]) ).
thf('31',plain,
( ( c0_1 @ a1867 )
| ( c1_1 @ a1867 )
| ~ ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
| ( c2_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl2118]) ).
thf(zip_derived_cl370_011,plain,
( ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl584_012,plain,
( ~ ( c3_1 @ a1875 )
<= ~ ( c3_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1594,plain,
( ( ~ ( c2_1 @ a1875 )
| ~ ( c0_1 @ a1875 ) )
<= ( ~ ( c3_1 @ a1875 )
& ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl584]) ).
thf('32',plain,
( ~ ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a1875 )
| ( c3_1 @ a1875 )
| ~ ( c0_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl1594]) ).
thf(zip_derived_cl726_013,plain,
( ( c3_1 @ a1852 )
<= ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl40,plain,
! [X47: $i,X48: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 )
| ~ ndr1_0
| ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl346,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1484,plain,
( ( ( c0_1 @ a1852 )
| ~ ( c2_1 @ a1852 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
& ( c3_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl346]) ).
thf(zip_derived_cl4396,plain,
( ( c0_1 @ a1852 )
<= ( c0_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1484]) ).
thf(zip_derived_cl250_014,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl4425,plain,
( ( ( c2_1 @ a1852 )
| ~ ( c1_1 @ a1852 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c0_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4396,zip_derived_cl250]) ).
thf('33',plain,
( ~ ( c0_1 @ a1852 )
| ~ ( c1_1 @ a1852 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ( c2_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl4425]) ).
thf(zip_derived_cl451_015,plain,
( ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
<= ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl656_016,plain,
( ~ ( c3_1 @ a1863 )
<= ~ ( c3_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl2075,plain,
( ( ( c1_1 @ a1863 )
| ( c0_1 @ a1863 ) )
<= ( ~ ( c3_1 @ a1863 )
& ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl656]) ).
thf('34',plain,
( ( c0_1 @ a1863 )
| ~ ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
| ( c3_1 @ a1863 )
| ( c1_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl2075]) ).
thf(zip_derived_cl190,plain,
( ~ hskp1
| ( c3_1 @ a1853 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl718,plain,
( ( c3_1 @ a1853 )
<= ( c3_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl367_017,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1537,plain,
( ( ( c0_1 @ a1853 )
| ~ ( c1_1 @ a1853 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c3_1 @ a1853 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl367]) ).
thf('35',plain,
( ~ ( c1_1 @ a1853 )
| ( c0_1 @ a1853 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ~ ( c3_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl1537]) ).
thf(zip_derived_cl181,plain,
( ~ hskp3
| ~ ( c0_1 @ a1855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('36',plain,
( ~ ( c0_1 @ a1855 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl182,plain,
( ~ hskp3
| ~ ( c1_1 @ a1855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('37',plain,
( ~ ( c1_1 @ a1855 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl183,plain,
( ~ hskp3
| ~ ( c2_1 @ a1855 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('38',plain,
( ~ ( c2_1 @ a1855 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl466_018,plain,
( ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
<= ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl700,plain,
( ~ ( c0_1 @ a1855 )
<= ~ ( c0_1 @ a1855 ) ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl2112,plain,
( ( ( c2_1 @ a1855 )
| ( c1_1 @ a1855 ) )
<= ( ~ ( c0_1 @ a1855 )
& ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl466,zip_derived_cl700]) ).
thf('39',plain,
( ( c0_1 @ a1855 )
| ( c1_1 @ a1855 )
| ~ ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
| ( c2_1 @ a1855 ) ),
inference(split,[status(esa)],[zip_derived_cl2112]) ).
thf('40',plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ndr1_0
| hskp16 ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl56,plain,
! [X79: $i,X80: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ndr1_0
| ( c2_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
| hskp3
| ~ ndr1_0
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl55,plain,
! [X77: $i,X78: $i] :
( ( c0_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ndr1_0
| ~ ( c0_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ( c3_1 @ X78 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('42',plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
| hskp8
| ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl451_019,plain,
( ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
<= ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl175,plain,
( ~ hskp5
| ~ ( c3_1 @ a1857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl688,plain,
( ~ ( c3_1 @ a1857 )
<= ~ ( c3_1 @ a1857 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl2074,plain,
( ( ( c1_1 @ a1857 )
| ( c0_1 @ a1857 ) )
<= ( ~ ( c3_1 @ a1857 )
& ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl688]) ).
thf('43',plain,
( ( c1_1 @ a1857 )
| ( c0_1 @ a1857 )
| ( c3_1 @ a1857 )
| ~ ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2074]) ).
thf(zip_derived_cl67,plain,
! [X93: $i,X94: $i] :
( ( c0_1 @ X93 )
| ( c1_1 @ X93 )
| ( c3_1 @ X93 )
| ~ ndr1_0
| ~ ( c0_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c2_1 @ X94 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('44',plain,
( ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
| hskp6
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl11,plain,
! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ndr1_0
| hskp0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('45',plain,
( hskp24
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| hskp0
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl504_020,plain,
( ( c3_1 @ a1878 )
<= ( c3_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl346_021,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1495,plain,
( ( ( c0_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
& ( c3_1 @ a1878 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl346]) ).
thf(zip_derived_cl4802,plain,
( ( c0_1 @ a1878 )
<= ( c0_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1495]) ).
thf(zip_derived_cl230,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl4830,plain,
( ( ~ ( c1_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c0_1 @ a1878 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4802,zip_derived_cl230]) ).
thf('46',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a1878 )
| ~ ( c2_1 @ a1878 )
| ~ ( c1_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl4830]) ).
thf(zip_derived_cl47,plain,
! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ndr1_0
| hskp20
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl374,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl504_022,plain,
( ( c3_1 @ a1878 )
<= ( c3_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl226_023,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1152,plain,
( ( ~ ( c0_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a1878 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl226]) ).
thf(zip_derived_cl1290,plain,
( ~ ( c0_1 @ a1878 )
<= ~ ( c0_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1152]) ).
thf(zip_derived_cl1642,plain,
( ( ~ ( c2_1 @ a1878 )
| ~ ( c1_1 @ a1878 ) )
<= ( ~ ( c0_1 @ a1878 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl1290]) ).
thf('47',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ( c0_1 @ a1878 )
| ~ ( c1_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1642]) ).
thf(zip_derived_cl81,plain,
( ~ hskp28
| ( c1_1 @ a1878 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('48',plain,
( ( c1_1 @ a1878 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf('49',plain,
( hskp28
| ~ ndr1_0
| ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| hskp0 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl195,plain,
( ~ hskp0
| ~ ( c2_1 @ a1852 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('50',plain,
( ~ ( c2_1 @ a1852 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl726_024,plain,
( ( c3_1 @ a1852 )
<= ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl13,plain,
! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 )
| ~ ndr1_0
| hskp14
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl238,plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
<= ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1441,plain,
( ( ( c2_1 @ a1852 )
| ~ ( c1_1 @ a1852 ) )
<= ( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
& ( c3_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl238]) ).
thf('51',plain,
( ~ ( c1_1 @ a1852 )
| ( c2_1 @ a1852 )
| ~ ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1441]) ).
thf(zip_derived_cl14,plain,
! [X4: $i,X5: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 )
| ~ ndr1_0
| ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 )
| ~ ( c3_1 @ X5 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| hskp16
| ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf('53',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a1878 )
| ~ ( c3_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1152]) ).
thf(zip_derived_cl82,plain,
( ~ hskp28
| ( c2_1 @ a1878 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ( c2_1 @ a1878 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf('55',plain,
( ( c3_1 @ a1878 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl152,plain,
( ~ hskp10
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( ~ hskp10
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl152]) ).
thf('57',plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
| ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl18,plain,
! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ndr1_0
| hskp15
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl107,plain,
( ~ hskp22
| ~ ( c3_1 @ a1899 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl552,plain,
( ~ ( c3_1 @ a1899 )
<= ~ ( c3_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl797,plain,
( ( ~ ( c1_1 @ a1899 )
| ( c2_1 @ a1899 ) )
<= ( ~ ( c3_1 @ a1899 )
& ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl552]) ).
thf('58',plain,
( ~ ( c1_1 @ a1899 )
| ( c2_1 @ a1899 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
| ( c3_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl797]) ).
thf(zip_derived_cl105,plain,
( ~ hskp22
| ( c0_1 @ a1899 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl548,plain,
( ( c0_1 @ a1899 )
<= ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl250_025,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1241,plain,
( ( ( c2_1 @ a1899 )
| ~ ( c1_1 @ a1899 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c0_1 @ a1899 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl250]) ).
thf('59',plain,
( ~ ( c1_1 @ a1899 )
| ( c2_1 @ a1899 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl1241]) ).
thf(zip_derived_cl141,plain,
( ~ hskp13
| ~ ( c1_1 @ a1867 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ~ ( c1_1 @ a1867 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl142,plain,
( ~ hskp13
| ~ ( c2_1 @ a1867 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('61',plain,
( ~ ( c2_1 @ a1867 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf('62',plain,
( ~ ( c3_1 @ a1867 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl36,plain,
! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 )
| ~ ndr1_0
| hskp22
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl330,plain,
( ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) )
<= ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl624_026,plain,
( ~ ( c3_1 @ a1867 )
<= ~ ( c3_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl1379,plain,
( ( ( c2_1 @ a1867 )
| ( c1_1 @ a1867 ) )
<= ( ~ ( c3_1 @ a1867 )
& ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl624]) ).
thf('63',plain,
( ~ ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) )
| ( c1_1 @ a1867 )
| ( c2_1 @ a1867 )
| ( c3_1 @ a1867 ) ),
inference(split,[status(esa)],[zip_derived_cl1379]) ).
thf('64',plain,
( hskp13
| hskp9
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
! [X37: $i,X38: $i] :
( ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ~ ( c3_1 @ X37 )
| ~ ndr1_0
| ( c2_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('65',plain,
( hskp9
| ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf('66',plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ndr1_0
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl370_027,plain,
( ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl226_028,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1578,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl226]) ).
thf(zip_derived_cl1608,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1578]) ).
thf(zip_derived_cl125,plain,
( ~ hskp17
| ( c0_1 @ a1874 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl588,plain,
( ( c0_1 @ a1874 )
<= ( c0_1 @ a1874 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl2170,plain,
( ~ ( c2_1 @ a1874 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c0_1 @ a1874 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1608,zip_derived_cl588]) ).
thf(zip_derived_cl126,plain,
( ~ hskp17
| ( c2_1 @ a1874 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl590,plain,
( ( c2_1 @ a1874 )
<= ( c2_1 @ a1874 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf('67',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a1874 )
| ~ ! [X63: $i] :
( ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a1874 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2170,zip_derived_cl590]) ).
thf(zip_derived_cl726_029,plain,
( ( c3_1 @ a1852 )
<= ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl367_030,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1536,plain,
( ( ( c0_1 @ a1852 )
| ~ ( c1_1 @ a1852 ) )
<= ( ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
& ( c3_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl367]) ).
thf('68',plain,
( ( c0_1 @ a1852 )
| ~ ( c1_1 @ a1852 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c3_1 @ X59 ) )
| ~ ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1536]) ).
thf(zip_derived_cl726_031,plain,
( ( c3_1 @ a1852 )
<= ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl15,plain,
! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 )
| ~ ndr1_0
| hskp27
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,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_cl15]) ).
thf(zip_derived_cl1442,plain,
( ( ( c2_1 @ a1852 )
| ~ ( c0_1 @ a1852 ) )
<= ( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c3_1 @ a1852 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl246]) ).
thf('69',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c0_1 @ a1852 )
| ( c2_1 @ a1852 )
| ~ ( c3_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1442]) ).
thf('70',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a1852 )
| ~ ( c3_1 @ a1852 )
| ~ ( c2_1 @ a1852 ) ),
inference(split,[status(esa)],[zip_derived_cl1440]) ).
thf(zip_derived_cl192,plain,
( ~ hskp0
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('71',plain,
( ~ hskp0
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl192]) ).
thf(zip_derived_cl193,plain,
( ~ hskp0
| ( c1_1 @ a1852 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('72',plain,
( ( c1_1 @ a1852 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf('73',plain,
( ( c3_1 @ a1852 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('74',plain,
( hskp22
| ! [X40: $i] :
( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) )
| hskp16
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl520_032,plain,
( ( c3_1 @ a1858 )
<= ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl238_033,plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
<= ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1207,plain,
( ( ( c2_1 @ a1858 )
| ~ ( c1_1 @ a1858 ) )
<= ( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
& ( c3_1 @ a1858 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl238]) ).
thf('75',plain,
( ( c2_1 @ a1858 )
| ~ ( c3_1 @ a1858 )
| ~ ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ( c1_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl1207]) ).
thf(zip_derived_cl520_034,plain,
( ( c3_1 @ a1858 )
<= ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl20,plain,
! [X12: $i,X13: $i] :
( ( c2_1 @ X12 )
| ( c3_1 @ X12 )
| ~ ( c1_1 @ X12 )
| ~ ndr1_0
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl266,plain,
( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
<= ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1210,plain,
( ( ~ ( c0_1 @ a1858 )
| ~ ( c1_1 @ a1858 ) )
<= ( ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
& ( c3_1 @ a1858 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl266]) ).
thf('76',plain,
( ~ ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) )
| ~ ( c0_1 @ a1858 )
| ~ ( c1_1 @ a1858 )
| ~ ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl1210]) ).
thf(zip_derived_cl90,plain,
( ~ hskp26
| ( c1_1 @ a1858 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( ( c1_1 @ a1858 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl35,plain,
! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ndr1_0
| hskp26
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( hskp26
| hskp27
| ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl272_035,plain,
( ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl552_036,plain,
( ~ ( c3_1 @ a1899 )
<= ~ ( c3_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl873,plain,
( ( ~ ( c1_1 @ a1899 )
| ~ ( c0_1 @ a1899 ) )
<= ( ~ ( c3_1 @ a1899 )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl552]) ).
thf('79',plain,
( ~ ( c1_1 @ a1899 )
| ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ( c3_1 @ a1899 )
| ~ ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl873]) ).
thf(zip_derived_cl548_037,plain,
( ( c0_1 @ a1899 )
<= ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl326,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1328,plain,
( ( ( c1_1 @ a1899 )
| ( c2_1 @ a1899 ) )
<= ( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) )
& ( c0_1 @ a1899 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl548,zip_derived_cl326]) ).
thf('80',plain,
( ~ ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) )
| ( c1_1 @ a1899 )
| ( c2_1 @ a1899 )
| ~ ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl1328]) ).
thf('81',plain,
( ( c0_1 @ a1899 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl106,plain,
( ~ hskp22
| ~ ( c2_1 @ a1899 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('82',plain,
( ~ ( c2_1 @ a1899 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf('83',plain,
( ~ ( c3_1 @ a1899 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl275_038,plain,
( ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
<= ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl552_039,plain,
( ~ ( c3_1 @ a1899 )
<= ~ ( c3_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl915,plain,
( ( ~ ( c0_1 @ a1899 )
| ( c2_1 @ a1899 ) )
<= ( ~ ( c3_1 @ a1899 )
& ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl552]) ).
thf('84',plain,
( ~ ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ( c2_1 @ a1899 )
| ( c3_1 @ a1899 )
| ~ ( c0_1 @ a1899 ) ),
inference(split,[status(esa)],[zip_derived_cl915]) ).
thf('85',plain,
( hskp22
| hskp27
| ~ ndr1_0
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl598_040,plain,
( ( c3_1 @ a1872 )
<= ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl283_041,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_cl1287,plain,
( ( ( c1_1 @ a1872 )
| ~ ( c2_1 @ a1872 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
& ( c3_1 @ a1872 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl283]) ).
thf(zip_derived_cl3880,plain,
( ( c1_1 @ a1872 )
<= ( c1_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1287]) ).
thf(zip_derived_cl272_042,plain,
( ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl226_043,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl860,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl226]) ).
thf(zip_derived_cl885,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl860]) ).
thf(zip_derived_cl374_044,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1643,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl374]) ).
thf(zip_derived_cl1667,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1643]) ).
thf(zip_derived_cl129,plain,
( ~ hskp16
| ( c2_1 @ a1872 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
( ( c2_1 @ a1872 )
<= ( c2_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl1784,plain,
( ~ ( c1_1 @ a1872 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
& ( c2_1 @ a1872 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl596]) ).
thf('86',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a1872 )
| ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c2_1 @ a1872 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3880,zip_derived_cl1784]) ).
thf(zip_derived_cl258_045,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl608_046,plain,
( ~ ( c3_1 @ a1870 )
<= ~ ( c3_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl794,plain,
( ( ~ ( c1_1 @ a1870 )
| ( c2_1 @ a1870 ) )
<= ( ~ ( c3_1 @ a1870 )
& ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl608]) ).
thf('87',plain,
( ( c2_1 @ a1870 )
| ( c3_1 @ a1870 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
| ~ ( c1_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl794]) ).
thf(zip_derived_cl1667_047,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1643]) ).
thf(zip_derived_cl828,plain,
( ( c2_1 @ a1870 )
<= ( c2_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl794]) ).
thf(zip_derived_cl1783,plain,
( ~ ( c1_1 @ a1870 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
& ( c2_1 @ a1870 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1667,zip_derived_cl828]) ).
thf(zip_derived_cl133,plain,
( ~ hskp15
| ( c1_1 @ a1870 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl604,plain,
( ( c1_1 @ a1870 )
<= ( c1_1 @ a1870 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf('88',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a1870 )
| ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ( c1_1 @ a1870 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1783,zip_derived_cl604]) ).
thf(zip_derived_cl8,plain,
( hskp8
| hskp17
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('89',plain,
( hskp17
| hskp8
| hskp16 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl49,plain,
! [X67: $i,X68: $i] :
( ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ndr1_0
| ( c1_1 @ X68 )
| ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( hskp8
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('91',plain,
( ( c0_1 @ a1874 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('92',plain,
( ( c2_1 @ a1874 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl127,plain,
( ~ hskp17
| ~ ( c1_1 @ a1874 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( ~ ( c1_1 @ a1874 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl588_048,plain,
( ( c0_1 @ a1874 )
<= ( c0_1 @ a1874 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl294_049,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1278,plain,
( ( ( c1_1 @ a1874 )
| ~ ( c2_1 @ a1874 ) )
<= ( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
& ( c0_1 @ a1874 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl294]) ).
thf('94',plain,
( ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
| ~ ( c0_1 @ a1874 )
| ( c1_1 @ a1874 )
| ~ ( c2_1 @ a1874 ) ),
inference(split,[status(esa)],[zip_derived_cl1278]) ).
thf(zip_derived_cl97,plain,
( ~ hskp24
| ( c3_1 @ a1919 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('95',plain,
( ( c3_1 @ a1919 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp24
| ~ ( c1_1 @ a1919 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('96',plain,
( ~ ( c1_1 @ a1919 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp24
| ~ ( c2_1 @ a1919 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ~ ( c2_1 @ a1919 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl532,plain,
( ( c3_1 @ a1919 )
<= ( c3_1 @ a1919 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl314_050,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1221,plain,
( ( ( c1_1 @ a1919 )
| ( c2_1 @ a1919 ) )
<= ( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
& ( c3_1 @ a1919 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl314]) ).
thf('98',plain,
( ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ( c1_1 @ a1919 )
| ( c2_1 @ a1919 )
| ~ ( c3_1 @ a1919 ) ),
inference(split,[status(esa)],[zip_derived_cl1221]) ).
thf(zip_derived_cl7,plain,
( hskp8
| hskp10
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( hskp10
| hskp24
| hskp8 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('100',plain,
( ( c1_1 @ a1870 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf('101',plain,
( ~ ( c3_1 @ a1870 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf('102',plain,
( hskp26
| hskp10
| ~ ndr1_0
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl6,plain,
( hskp18
| hskp10
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( hskp15
| hskp10
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl89,plain,
( ~ hskp26
| ( c0_1 @ a1858 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( ( c0_1 @ a1858 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('105',plain,
( ( c3_1 @ a1858 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl520_051,plain,
( ( c3_1 @ a1858 )
<= ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl246_052,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_cl15]) ).
thf(zip_derived_cl1208,plain,
( ( ( c2_1 @ a1858 )
| ~ ( c0_1 @ a1858 ) )
<= ( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c3_1 @ a1858 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl246]) ).
thf('106',plain,
( ( c2_1 @ a1858 )
| ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ~ ( c0_1 @ a1858 )
| ~ ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl1208]) ).
thf(zip_derived_cl520_053,plain,
( ( c3_1 @ a1858 )
<= ( c3_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl226_054,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1206,plain,
( ( ~ ( c0_1 @ a1858 )
| ~ ( c2_1 @ a1858 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a1858 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl226]) ).
thf('107',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a1858 )
| ~ ( c3_1 @ a1858 )
| ~ ( c0_1 @ a1858 ) ),
inference(split,[status(esa)],[zip_derived_cl1206]) ).
thf(zip_derived_cl646_055,plain,
( ( c3_1 @ a1864 )
<= ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl226_056,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1347,plain,
( ( ~ ( c0_1 @ a1864 )
| ~ ( c2_1 @ a1864 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl226]) ).
thf('108',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a1864 )
| ~ ( c3_1 @ a1864 )
| ~ ( c0_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1347]) ).
thf(zip_derived_cl646_057,plain,
( ( c3_1 @ a1864 )
<= ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl246_058,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_cl15]) ).
thf(zip_derived_cl1349,plain,
( ( ( c2_1 @ a1864 )
| ~ ( c0_1 @ a1864 ) )
<= ( ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
& ( c3_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl246]) ).
thf('109',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c3_1 @ X6 ) )
| ( c2_1 @ a1864 )
| ~ ( c3_1 @ a1864 )
| ~ ( c0_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1349]) ).
thf(zip_derived_cl188,plain,
( ~ hskp1
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ~ hskp1
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl188]) ).
thf(zip_derived_cl9,plain,
( hskp29
| hskp27
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('111',plain,
( hskp29
| hskp27
| hskp1 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl77,plain,
( ~ hskp29
| ( c0_1 @ a1885 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ( c0_1 @ a1885 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl78,plain,
( ~ hskp29
| ( c1_1 @ a1885 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( ( c1_1 @ a1885 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl79,plain,
( ~ hskp29
| ( c2_1 @ a1885 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ( c2_1 @ a1885 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl492,plain,
( ( c0_1 @ a1885 )
<= ( c0_1 @ a1885 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl885_059,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl860]) ).
thf(zip_derived_cl1127,plain,
( ( ~ ( c2_1 @ a1885 )
| ~ ( c1_1 @ a1885 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ( c0_1 @ a1885 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl492,zip_derived_cl885]) ).
thf('115',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a1885 )
| ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c2_1 @ a1885 )
| ~ ( c0_1 @ a1885 ) ),
inference(split,[status(esa)],[zip_derived_cl1127]) ).
thf(zip_derived_cl23,plain,
! [X19: $i,X20: $i,X21: $i] :
( ( c2_1 @ X19 )
| ( c3_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ndr1_0
| ( c2_1 @ X20 )
| ~ ( c1_1 @ X20 )
| ~ ( c3_1 @ X20 )
| ~ ndr1_0
| ~ ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('116',plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ~ ndr1_0
| ! [X13: $i] :
( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl512_060,plain,
( ( c3_1 @ a1877 )
<= ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl226_061,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1168,plain,
( ( ~ ( c0_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl226]) ).
thf('117',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a1877 )
| ~ ( c2_1 @ a1877 )
| ~ ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1168]) ).
thf('118',plain,
( ~ ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
| ( c0_1 @ a1878 )
| ~ ( c3_1 @ a1878 )
| ~ ( c2_1 @ a1878 ) ),
inference(split,[status(esa)],[zip_derived_cl1495]) ).
thf(zip_derived_cl272_062,plain,
( ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl584_063,plain,
( ~ ( c3_1 @ a1875 )
<= ~ ( c3_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl871,plain,
( ( ~ ( c1_1 @ a1875 )
| ~ ( c0_1 @ a1875 ) )
<= ( ~ ( c3_1 @ a1875 )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl584]) ).
thf('119',plain,
( ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c0_1 @ a1875 )
| ( c3_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl871]) ).
thf('120',plain,
( ( c0_1 @ a1875 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp18
| ( c1_1 @ a1875 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('121',plain,
( ( c1_1 @ a1875 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('122',plain,
( ~ ( c3_1 @ a1875 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl85,plain,
( ~ hskp27
| ( c0_1 @ a1877 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl508,plain,
( ( c0_1 @ a1877 )
<= ( c0_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl294_064,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1164,plain,
( ( ( c1_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) )
<= ( ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
& ( c0_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl294]) ).
thf('123',plain,
( ( c1_1 @ a1877 )
| ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
| ~ ( c0_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1164]) ).
thf(zip_derived_cl43,plain,
! [X55: $i,X56: $i] :
( ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 )
| ~ ndr1_0
| ( c1_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('124',plain,
( hskp27
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
| ~ ndr1_0
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf('125',plain,
( hskp18
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 ) )
| hskp8
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf('126',plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| hskp18
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl508_065,plain,
( ( c0_1 @ a1877 )
<= ( c0_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl230_066,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1162,plain,
( ( ~ ( c1_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c0_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl508,zip_derived_cl230]) ).
thf('127',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c1_1 @ a1877 )
| ~ ( c0_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1162]) ).
thf('128',plain,
( ( c0_1 @ a1864 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('129',plain,
( ( c3_1 @ a1864 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp10
| ~ ( c1_1 @ a1864 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('130',plain,
( ~ ( c1_1 @ a1864 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf('131',plain,
( hskp10
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl512_067,plain,
( ( c3_1 @ a1877 )
<= ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl254_068,plain,
( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1171,plain,
( ( ~ ( c1_1 @ a1877 )
| ~ ( c2_1 @ a1877 ) )
<= ( ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ( c3_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl254]) ).
thf('132',plain,
( ~ ! [X9: $i] :
( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a1877 )
| ~ ( c2_1 @ a1877 )
| ~ ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1171]) ).
thf(zip_derived_cl512_069,plain,
( ( c3_1 @ a1877 )
<= ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl25,plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 )
| ~ ndr1_0
| hskp7
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl286,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1174,plain,
( ( ( c1_1 @ a1877 )
| ~ ( c0_1 @ a1877 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
& ( c3_1 @ a1877 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl286]) ).
thf('133',plain,
( ( c1_1 @ a1877 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ( c0_1 @ a1877 )
| ~ ( c3_1 @ a1877 ) ),
inference(split,[status(esa)],[zip_derived_cl1174]) ).
thf(zip_derived_cl42,plain,
! [X52: $i,X53: $i,X54: $i] :
( ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 )
| ~ ndr1_0
| ( c1_1 @ X53 )
| ~ ( c0_1 @ X53 )
| ~ ( c3_1 @ X53 )
| ~ ndr1_0
| ( c2_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ( c3_1 @ X54 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ndr1_0
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl718_070,plain,
( ( c3_1 @ a1853 )
<= ( c3_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl238_071,plain,
( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
<= ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1423,plain,
( ( ( c2_1 @ a1853 )
| ~ ( c1_1 @ a1853 ) )
<= ( ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
& ( c3_1 @ a1853 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl718,zip_derived_cl238]) ).
thf('135',plain,
( ( c2_1 @ a1853 )
| ~ ( c1_1 @ a1853 )
| ~ ! [X3: $i] :
( ( c2_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) )
| ~ ( c3_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl1423]) ).
thf(zip_derived_cl374_072,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl191,plain,
( ~ hskp1
| ~ ( c0_1 @ a1853 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl720,plain,
( ~ ( c0_1 @ a1853 )
<= ~ ( c0_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl1622,plain,
( ( ~ ( c2_1 @ a1853 )
| ~ ( c1_1 @ a1853 ) )
<= ( ~ ( c0_1 @ a1853 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl720]) ).
thf('136',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ( c2_1 @ a1853 )
| ( c0_1 @ a1853 )
| ~ ( c1_1 @ a1853 ) ),
inference(split,[status(esa)],[zip_derived_cl1622]) ).
thf(zip_derived_cl189,plain,
( ~ hskp1
| ( c1_1 @ a1853 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ( c1_1 @ a1853 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf('138',plain,
( ( c3_1 @ a1853 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf('139',plain,
( ~ ( c0_1 @ a1853 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf('140',plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
| hskp9
| hskp1
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl402_073,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl170,plain,
( ~ hskp6
| ~ ( c0_1 @ a1860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl678,plain,
( ~ ( c0_1 @ a1860 )
<= ~ ( c0_1 @ a1860 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1908,plain,
( ( ~ ( c1_1 @ a1860 )
| ( c2_1 @ a1860 ) )
<= ( ~ ( c0_1 @ a1860 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl678]) ).
thf('141',plain,
( ~ ( c1_1 @ a1860 )
| ( c0_1 @ a1860 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c1_1 @ X76 ) )
| ( c2_1 @ a1860 ) ),
inference(split,[status(esa)],[zip_derived_cl1908]) ).
thf(zip_derived_cl169,plain,
( ~ hskp6
| ( c1_1 @ a1860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('142',plain,
( ( c1_1 @ a1860 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf('143',plain,
( ~ ( c0_1 @ a1860 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp6
| ~ ( c2_1 @ a1860 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('144',plain,
( ~ ( c2_1 @ a1860 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl161,plain,
( ~ hskp8
| ( c0_1 @ a1862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('145',plain,
( ( c0_1 @ a1862 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp8
| ( c1_1 @ a1862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ( c1_1 @ a1862 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl163,plain,
( ~ hskp8
| ~ ( c2_1 @ a1862 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('147',plain,
( ~ ( c2_1 @ a1862 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl660,plain,
( ( c0_1 @ a1862 )
<= ( c0_1 @ a1862 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl250_074,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl1359,plain,
( ( ( c2_1 @ a1862 )
| ~ ( c1_1 @ a1862 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c0_1 @ a1862 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl660,zip_derived_cl250]) ).
thf('148',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c0_1 @ a1862 )
| ( c2_1 @ a1862 )
| ~ ( c1_1 @ a1862 ) ),
inference(split,[status(esa)],[zip_derived_cl1359]) ).
thf(zip_derived_cl2,plain,
( hskp25
| hskp6
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('149',plain,
( hskp5
| hskp25
| hskp6 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl65,plain,
! [X90: $i] :
( ( c0_1 @ X90 )
| ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ndr1_0
| hskp8
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 ) )
| hskp9
| hskp8
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl28,plain,
! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ndr1_0
| hskp8
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl298,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl688_075,plain,
( ~ ( c3_1 @ a1857 )
<= ~ ( c3_1 @ a1857 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1028,plain,
( ( ~ ( c2_1 @ a1857 )
| ( c1_1 @ a1857 ) )
<= ( ~ ( c3_1 @ a1857 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl688]) ).
thf('151',plain,
( ( c1_1 @ a1857 )
| ( c3_1 @ a1857 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c2_1 @ a1857 ) ),
inference(split,[status(esa)],[zip_derived_cl1028]) ).
thf(zip_derived_cl173,plain,
( ~ hskp5
| ( c2_1 @ a1857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('152',plain,
( ( c2_1 @ a1857 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl174,plain,
( ~ hskp5
| ~ ( c0_1 @ a1857 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('153',plain,
( ~ ( c0_1 @ a1857 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf('154',plain,
( ~ ( c3_1 @ a1857 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl374_076,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl686,plain,
( ~ ( c0_1 @ a1857 )
<= ~ ( c0_1 @ a1857 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl1625,plain,
( ( ~ ( c2_1 @ a1857 )
| ~ ( c1_1 @ a1857 ) )
<= ( ~ ( c0_1 @ a1857 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl686]) ).
thf('155',plain,
( ~ ( c1_1 @ a1857 )
| ~ ( c2_1 @ a1857 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ( c0_1 @ a1857 ) ),
inference(split,[status(esa)],[zip_derived_cl1625]) ).
thf(zip_derived_cl157,plain,
( ~ hskp9
| ( c2_1 @ a1863 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('156',plain,
( ( c2_1 @ a1863 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp9
| ~ ( c1_1 @ a1863 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ~ ( c1_1 @ a1863 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf('158',plain,
( ~ ( c3_1 @ a1863 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl298_077,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl656_078,plain,
( ~ ( c3_1 @ a1863 )
<= ~ ( c3_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1029,plain,
( ( ~ ( c2_1 @ a1863 )
| ( c1_1 @ a1863 ) )
<= ( ~ ( c3_1 @ a1863 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl656]) ).
thf('159',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ( c1_1 @ a1863 )
| ( c3_1 @ a1863 )
| ~ ( c2_1 @ a1863 ) ),
inference(split,[status(esa)],[zip_derived_cl1029]) ).
thf(zip_derived_cl29,plain,
! [X28: $i,X29: $i,X30: $i] :
( ( c1_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ndr1_0
| ( c1_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0
| ~ ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('160',plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl580_079,plain,
( ( c0_1 @ a1875 )
<= ( c0_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl230_080,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1259,plain,
( ( ~ ( c1_1 @ a1875 )
| ~ ( c2_1 @ a1875 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c0_1 @ a1875 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl580,zip_derived_cl230]) ).
thf('161',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c2_1 @ a1875 )
| ~ ( c1_1 @ a1875 )
| ~ ( c0_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl1259]) ).
thf(zip_derived_cl258_081,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl584_082,plain,
( ~ ( c3_1 @ a1875 )
<= ~ ( c3_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl795,plain,
( ( ~ ( c1_1 @ a1875 )
| ( c2_1 @ a1875 ) )
<= ( ~ ( c3_1 @ a1875 )
& ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl584]) ).
thf('162',plain,
( ( c2_1 @ a1875 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
| ( c3_1 @ a1875 )
| ~ ( c1_1 @ a1875 ) ),
inference(split,[status(esa)],[zip_derived_cl795]) ).
thf(zip_derived_cl41,plain,
! [X49: $i,X50: $i,X51: $i] :
( ( c0_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ( c3_1 @ X49 )
| ~ ndr1_0
| ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 )
| ~ ndr1_0
| ( c2_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 ) )
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('164',plain,
( ( c0_1 @ a1877 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
( ~ hskp27
| ( c2_1 @ a1877 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('165',plain,
( ( c2_1 @ a1877 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf('166',plain,
( ( c3_1 @ a1877 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl63,plain,
! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 )
| ~ ndr1_0
| hskp12
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl438,plain,
( ! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 ) )
<= ! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl131,plain,
( ~ hskp16
| ~ ( c0_1 @ a1872 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl600,plain,
( ~ ( c0_1 @ a1872 )
<= ~ ( c0_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1975,plain,
( ( ~ ( c2_1 @ a1872 )
| ( c1_1 @ a1872 ) )
<= ( ~ ( c0_1 @ a1872 )
& ! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl600]) ).
thf('167',plain,
( ( c1_1 @ a1872 )
| ~ ! [X88: $i] :
( ( c0_1 @ X88 )
| ( c1_1 @ X88 )
| ~ ( c2_1 @ X88 ) )
| ( c0_1 @ a1872 )
| ~ ( c2_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1975]) ).
thf('168',plain,
( ( c1_1 @ a1872 )
| ~ ( c2_1 @ a1872 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) )
| ~ ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1287]) ).
thf('169',plain,
( hskp27
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
| ~ ndr1_0
| ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl374_083,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl600_084,plain,
( ~ ( c0_1 @ a1872 )
<= ~ ( c0_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1632,plain,
( ( ~ ( c2_1 @ a1872 )
| ~ ( c1_1 @ a1872 ) )
<= ( ~ ( c0_1 @ a1872 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl600]) ).
thf('170',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ( c1_1 @ a1872 )
| ( c0_1 @ a1872 )
| ~ ( c2_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1632]) ).
thf(zip_derived_cl598_085,plain,
( ( c3_1 @ a1872 )
<= ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl346_086,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl1490,plain,
( ( ( c0_1 @ a1872 )
| ~ ( c2_1 @ a1872 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
& ( c3_1 @ a1872 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl346]) ).
thf('171',plain,
( ~ ! [X47: $i] :
( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) )
| ~ ( c2_1 @ a1872 )
| ( c0_1 @ a1872 )
| ~ ( c3_1 @ a1872 ) ),
inference(split,[status(esa)],[zip_derived_cl1490]) ).
thf('172',plain,
( ( c2_1 @ a1872 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf('173',plain,
( ( c3_1 @ a1872 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('174',plain,
( ~ ( c0_1 @ a1872 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl646_087,plain,
( ( c3_1 @ a1864 )
<= ( c3_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl286_088,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl1353,plain,
( ( ( c1_1 @ a1864 )
| ~ ( c0_1 @ a1864 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
& ( c3_1 @ a1864 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl646,zip_derived_cl286]) ).
thf('175',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ( c0_1 @ a1864 )
| ~ ( c3_1 @ a1864 )
| ( c1_1 @ a1864 ) ),
inference(split,[status(esa)],[zip_derived_cl1353]) ).
thf(zip_derived_cl93,plain,
( ~ hskp25
| ( c1_1 @ a1960 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('176',plain,
( ( c1_1 @ a1960 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl94,plain,
( ~ hskp25
| ( c2_1 @ a1960 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('177',plain,
( ( c2_1 @ a1960 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl95,plain,
( ~ hskp25
| ~ ( c0_1 @ a1960 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('178',plain,
( ~ ( c0_1 @ a1960 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl374_089,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl528,plain,
( ~ ( c0_1 @ a1960 )
<= ~ ( c0_1 @ a1960 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1639,plain,
( ( ~ ( c2_1 @ a1960 )
| ~ ( c1_1 @ a1960 ) )
<= ( ~ ( c0_1 @ a1960 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl528]) ).
thf('179',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ( c2_1 @ X64 ) )
| ~ ( c2_1 @ a1960 )
| ( c0_1 @ a1960 )
| ~ ( c1_1 @ a1960 ) ),
inference(split,[status(esa)],[zip_derived_cl1639]) ).
thf(zip_derived_cl72,plain,
! [X101: $i,X102: $i] :
( ( c0_1 @ X101 )
| ( c1_1 @ X101 )
| ( c2_1 @ X101 )
| ~ ndr1_0
| ( c1_1 @ X102 )
| ( c2_1 @ X102 )
| ~ ( c3_1 @ X102 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('180',plain,
( ! [X99: $i] :
( ( c0_1 @ X99 )
| ( c1_1 @ X99 )
| ( c2_1 @ X99 ) )
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ndr1_0
| hskp1 ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl451_090,plain,
( ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
<= ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl576,plain,
( ~ ( c3_1 @ a1884 )
<= ~ ( c3_1 @ a1884 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl2080,plain,
( ( ( c1_1 @ a1884 )
| ( c0_1 @ a1884 ) )
<= ( ~ ( c3_1 @ a1884 )
& ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl451,zip_derived_cl576]) ).
thf('181',plain,
( ( c0_1 @ a1884 )
| ( c1_1 @ a1884 )
| ~ ! [X91: $i] :
( ( c0_1 @ X91 )
| ( c1_1 @ X91 )
| ( c3_1 @ X91 ) )
| ( c3_1 @ a1884 ) ),
inference(split,[status(esa)],[zip_derived_cl2080]) ).
thf(zip_derived_cl80,plain,
( ~ hskp28
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('182',plain,
( ~ hskp28
| ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl80]) ).
thf(zip_derived_cl3,plain,
( hskp10
| hskp28
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('183',plain,
( hskp28
| hskp0
| hskp10 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl7220,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN483+1 : TPTP v9.2.0. Released v2.1.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ge4NMnBw1L true
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:34:38 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.96/1.93 % Solved by fo/fo1_av.sh.
% 9.96/1.93 % done 2084 iterations in 1.197s
% 9.96/1.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.96/1.93 % SZS output start Refutation
% See solution above
% 9.96/1.94
% 9.96/1.94
% 9.96/1.94 % Terminating...
% 9.96/1.97 % Runner terminated.
% 9.96/1.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------