TSTP Solution File: SYN443+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.edWio8sjS5 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:03:31 EDT 2023
% Result : Theorem 5.63s 1.57s
% Output : Refutation 5.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 68
% Syntax : Number of formulae : 632 ( 1 unt; 67 typ; 0 def)
% Number of atoms : 3739 ( 0 equ; 0 cnn)
% Maximal formula atoms : 588 ( 6 avg)
% Number of connectives : 8037 (1968 ~;2279 |; 466 &;2895 @)
% ( 0 <=>; 170 =>; 259 <=; 0 <~>)
% Maximal formula depth : 94 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 67 usr; 64 con; 0-1 aty)
% Number of variables : 648 ( 0 ^; 648 !; 0 ?; 648 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a4_type,type,
a4: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a33_type,type,
a33: $i ).
thf(a19_type,type,
a19: $i ).
thf(a52_type,type,
a52: $i ).
thf(a15_type,type,
a15: $i ).
thf(a31_type,type,
a31: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a1_type,type,
a1: $i ).
thf(a8_type,type,
a8: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a2_type,type,
a2: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a5_type,type,
a5: $i ).
thf(a36_type,type,
a36: $i ).
thf(a43_type,type,
a43: $i ).
thf(a25_type,type,
a25: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a18_type,type,
a18: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a12_type,type,
a12: $i ).
thf(a21_type,type,
a21: $i ).
thf(a34_type,type,
a34: $i ).
thf(a42_type,type,
a42: $i ).
thf(a92_type,type,
a92: $i ).
thf(a32_type,type,
a32: $i ).
thf(a27_type,type,
a27: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a38_type,type,
a38: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a9_type,type,
a9: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a64_type,type,
a64: $i ).
thf(a11_type,type,
a11: $i ).
thf(a22_type,type,
a22: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a26_type,type,
a26: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a6_type,type,
a6: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a58_type,type,
a58: $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(a3_type,type,
a3: $i ).
thf(a10_type,type,
a10: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c0_1_type,type,
c0_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 @ a1 )
& ( c2_1 @ a1 )
& ~ ( c0_1 @ a1 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a2 )
& ( c3_1 @ a2 )
& ~ ( c2_1 @ a2 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a3 )
& ( c2_1 @ a3 )
& ~ ( c1_1 @ a3 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c3_1 @ a4 )
& ~ ( c0_1 @ a4 )
& ~ ( c1_1 @ a4 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a5 )
& ( c3_1 @ a5 )
& ~ ( c1_1 @ a5 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a6 )
& ( c2_1 @ a6 )
& ~ ( c3_1 @ a6 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a8 )
& ~ ( c2_1 @ a8 )
& ~ ( c3_1 @ a8 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a9 )
& ~ ( c0_1 @ a9 )
& ~ ( c2_1 @ a9 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a11 )
& ( c2_1 @ a11 )
& ~ ( c3_1 @ a11 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a12 )
& ~ ( c2_1 @ a12 )
& ~ ( c3_1 @ a12 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ ( c0_1 @ a18 )
& ~ ( c1_1 @ a18 )
& ~ ( c3_1 @ a18 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a19 )
& ( c1_1 @ a19 )
& ~ ( c3_1 @ a19 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a21 )
& ~ ( c1_1 @ a21 )
& ~ ( c3_1 @ a21 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c0_1 @ a22 )
& ~ ( c2_1 @ a22 )
& ~ ( c3_1 @ a22 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a26 )
& ~ ( c1_1 @ a26 )
& ~ ( c2_1 @ a26 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a27 )
& ( c1_1 @ a27 )
& ~ ( c2_1 @ a27 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a31 )
& ~ ( c0_1 @ a31 )
& ~ ( c1_1 @ a31 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a32 )
& ~ ( c0_1 @ a32 )
& ~ ( c2_1 @ a32 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c3_1 @ a34 )
& ~ ( c1_1 @ a34 )
& ~ ( c2_1 @ a34 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c1_1 @ a36 )
& ~ ( c2_1 @ a36 )
& ~ ( c3_1 @ a36 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a38 )
& ( c3_1 @ a38 )
& ~ ( c0_1 @ a38 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a42 )
& ( c3_1 @ a42 )
& ~ ( c0_1 @ a42 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a43 )
& ~ ( c1_1 @ a43 )
& ~ ( c3_1 @ a43 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a52 )
& ~ ( c1_1 @ a52 )
& ~ ( c2_1 @ a52 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a58 )
& ( c3_1 @ a58 )
& ~ ( c1_1 @ a58 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a64 )
& ( c3_1 @ a64 )
& ~ ( c2_1 @ a64 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c2_1 @ a92 )
& ~ ( c0_1 @ a92 )
& ~ ( c3_1 @ a92 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a10 )
& ( c2_1 @ a10 )
& ( c3_1 @ a10 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a15 )
& ( c1_1 @ a15 )
& ( c3_1 @ a15 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a25 )
& ( c1_1 @ a25 )
& ( c2_1 @ a25 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a33 )
& ( c2_1 @ a33 )
& ( c3_1 @ a33 ) ) )
& ( ! [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 ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c1_1 @ W )
| ( c3_1 @ W )
| ~ ( c0_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c2_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c2_1 @ X2 )
| ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| hskp1 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 ) ) )
| hskp2 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp3 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ( c3_1 @ X9 ) ) )
| hskp4 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| hskp5
| hskp0 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp6
| hskp7 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| hskp27
| hskp8 )
& ( ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp9
| hskp3 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) )
| hskp6 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ~ ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c1_1 @ X18 )
| ( c3_1 @ X18 )
| ~ ( c0_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c1_1 @ X19 ) ) )
| hskp28
| hskp27 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c1_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) )
| hskp9 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) )
| hskp10 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| hskp11
| hskp6 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| hskp12
| hskp13 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c3_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) )
| hskp0 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c1_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c0_1 @ X29 ) ) )
| hskp3 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| hskp29
| hskp14 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ) )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c2_1 @ X34 ) ) )
| hskp15
| hskp4 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c3_1 @ X37 )
| ~ ( c0_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp5 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| hskp9
| hskp16 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c3_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| hskp17 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c2_1 @ X43 )
| ( c3_1 @ X43 ) ) )
| hskp30
| hskp18 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ( c3_1 @ X44 ) ) )
| hskp1
| hskp19 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 ) ) )
| hskp29
| hskp20 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c2_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| hskp1
| hskp13 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 ) ) )
| hskp0
| hskp21 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| hskp22 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c3_1 @ X51 )
| ~ ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) )
| hskp0 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c3_1 @ X53 )
| ~ ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) )
| hskp5 )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| hskp29 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c0_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp29 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| ! [X59: $i] :
( ndr1_0
=> ( ( c2_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| hskp13 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c2_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) ) )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) )
| hskp16 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ~ ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp19 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) )
| hskp2
| hskp23 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) )
| hskp1
| hskp0 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c1_1 @ X70 ) ) )
| hskp22 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c2_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| hskp2
| hskp4 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ( c3_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| hskp24 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c2_1 @ X74 )
| ~ ( c0_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| hskp22
| hskp19 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp18
| hskp14 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c3_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 ) ) )
| hskp27
| hskp25 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a1 )
& ( c2_1 @ a1 )
& ~ ( c0_1 @ a1 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a2 )
& ( c3_1 @ a2 )
& ~ ( c2_1 @ a2 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a3 )
& ( c2_1 @ a3 )
& ~ ( c1_1 @ a3 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c3_1 @ a4 )
& ~ ( c0_1 @ a4 )
& ~ ( c1_1 @ a4 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a5 )
& ( c3_1 @ a5 )
& ~ ( c1_1 @ a5 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a6 )
& ( c2_1 @ a6 )
& ~ ( c3_1 @ a6 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a8 )
& ~ ( c2_1 @ a8 )
& ~ ( c3_1 @ a8 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a9 )
& ~ ( c0_1 @ a9 )
& ~ ( c2_1 @ a9 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a11 )
& ( c2_1 @ a11 )
& ~ ( c3_1 @ a11 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a12 )
& ~ ( c2_1 @ a12 )
& ~ ( c3_1 @ a12 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ ( c0_1 @ a18 )
& ~ ( c1_1 @ a18 )
& ~ ( c3_1 @ a18 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a19 )
& ( c1_1 @ a19 )
& ~ ( c3_1 @ a19 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a21 )
& ~ ( c1_1 @ a21 )
& ~ ( c3_1 @ a21 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c0_1 @ a22 )
& ~ ( c2_1 @ a22 )
& ~ ( c3_1 @ a22 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a26 )
& ~ ( c1_1 @ a26 )
& ~ ( c2_1 @ a26 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a27 )
& ( c1_1 @ a27 )
& ~ ( c2_1 @ a27 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a31 )
& ~ ( c0_1 @ a31 )
& ~ ( c1_1 @ a31 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a32 )
& ~ ( c0_1 @ a32 )
& ~ ( c2_1 @ a32 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c3_1 @ a34 )
& ~ ( c1_1 @ a34 )
& ~ ( c2_1 @ a34 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c1_1 @ a36 )
& ~ ( c2_1 @ a36 )
& ~ ( c3_1 @ a36 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a38 )
& ( c3_1 @ a38 )
& ~ ( c0_1 @ a38 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a42 )
& ( c3_1 @ a42 )
& ~ ( c0_1 @ a42 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a43 )
& ~ ( c1_1 @ a43 )
& ~ ( c3_1 @ a43 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a52 )
& ~ ( c1_1 @ a52 )
& ~ ( c2_1 @ a52 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a58 )
& ( c3_1 @ a58 )
& ~ ( c1_1 @ a58 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a64 )
& ( c3_1 @ a64 )
& ~ ( c2_1 @ a64 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c2_1 @ a92 )
& ~ ( c0_1 @ a92 )
& ~ ( c3_1 @ a92 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a10 )
& ( c2_1 @ a10 )
& ( c3_1 @ a10 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a15 )
& ( c1_1 @ a15 )
& ( c3_1 @ a15 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a25 )
& ( c1_1 @ a25 )
& ( c2_1 @ a25 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a33 )
& ( c2_1 @ a33 )
& ( c3_1 @ a33 ) ) )
& ( ! [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 ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c1_1 @ W )
| ( c3_1 @ W )
| ~ ( c0_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c1_1 @ X1 )
| ( c2_1 @ X1 )
| ~ ( c0_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c2_1 @ X2 )
| ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 ) ) ) )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| hskp1 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ( c2_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 ) ) )
| hskp2 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c2_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp3 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ( c3_1 @ X9 ) ) )
| hskp4 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| hskp5
| hskp0 )
& ( ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp6
| hskp7 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| hskp27
| hskp8 )
& ( ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp9
| hskp3 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) )
| hskp6 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ~ ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c1_1 @ X18 )
| ( c3_1 @ X18 )
| ~ ( c0_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c1_1 @ X19 ) ) )
| hskp28
| hskp27 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c1_1 @ X21 )
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 ) ) )
| hskp9 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) )
| hskp10 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) )
| hskp11
| hskp6 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| hskp12
| hskp13 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c3_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) )
| hskp0 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c1_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c0_1 @ X29 ) ) )
| hskp3 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| hskp29
| hskp14 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ) )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c2_1 @ X34 ) ) )
| hskp15
| hskp4 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ( c1_1 @ X36 )
| ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c3_1 @ X37 )
| ~ ( c0_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) ) )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ~ ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 ) ) )
| hskp5 )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| hskp9
| hskp16 )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c3_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| hskp17 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c2_1 @ X43 )
| ( c3_1 @ X43 ) ) )
| hskp30
| hskp18 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ( c3_1 @ X44 ) ) )
| hskp1
| hskp19 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 ) ) )
| hskp29
| hskp20 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c2_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| hskp1
| hskp13 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 ) ) )
| hskp0
| hskp21 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| hskp22 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c3_1 @ X51 )
| ~ ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) )
| hskp0 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c1_1 @ X52 )
| ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ( c3_1 @ X53 )
| ~ ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) )
| hskp5 )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| hskp29 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c0_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp29 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| ! [X59: $i] :
( ndr1_0
=> ( ( c2_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c0_1 @ X59 ) ) )
| hskp13 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c2_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ~ ( c0_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) ) )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c1_1 @ X64 ) ) )
| hskp16 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ~ ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp19 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) )
| hskp2
| hskp23 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) )
| hskp1
| hskp0 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c1_1 @ X70 ) ) )
| hskp22 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c2_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| hskp2
| hskp4 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ( c3_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| hskp24 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c2_1 @ X74 )
| ~ ( c0_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| hskp22
| hskp19 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp18
| hskp14 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c3_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 ) ) )
| hskp27
| hskp25 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl169,plain,
( ~ hskp3
| ( c3_1 @ a4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl630,plain,
( ( c3_1 @ a4 )
<= ( c3_1 @ a4 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl34,plain,
! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 )
| ~ ndr1_0
| hskp9
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl309,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1589,plain,
( ( ( c0_1 @ a4 )
| ~ ( c2_1 @ a4 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c3_1 @ a4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl309]) ).
thf('0',plain,
( ~ ( c2_1 @ a4 )
| ~ ( c3_1 @ a4 )
| ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ( c0_1 @ a4 ) ),
inference(split,[status(esa)],[zip_derived_cl1589]) ).
thf('1',plain,
( ( c3_1 @ a4 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl170,plain,
( ~ hskp3
| ~ ( c0_1 @ a4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ~ ( c0_1 @ a4 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp3
| ~ ( c1_1 @ a4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ~ ( c1_1 @ a4 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl54,plain,
! [X71: $i,X72: $i] :
( ( c0_1 @ X71 )
| ( c1_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ndr1_0
| ( c2_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c3_1 @ X72 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( hskp3
| ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
| ~ ndr1_0
| ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf(zip_derived_cl23,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ndr1_0
| ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl266,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl163,plain,
( ~ hskp5
| ~ ( c3_1 @ a6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl618,plain,
( ~ ( c3_1 @ a6 )
<= ~ ( c3_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl1130,plain,
( ( ~ ( c0_1 @ a6 )
| ( c1_1 @ a6 ) )
<= ( ~ ( c3_1 @ a6 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl618]) ).
thf('5',plain,
( ( c1_1 @ a6 )
| ( c3_1 @ a6 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
| ~ ( c0_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl1130]) ).
thf(zip_derived_cl53,plain,
! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ndr1_0
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl385,plain,
( ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
<= ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl95,plain,
( ~ hskp22
| ~ ( c3_1 @ a43 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl482,plain,
( ~ ( c3_1 @ a43 )
<= ~ ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1947,plain,
( ( ( c1_1 @ a43 )
| ( c0_1 @ a43 ) )
<= ( ~ ( c3_1 @ a43 )
& ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl482]) ).
thf('6',plain,
( ~ ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
| ( c0_1 @ a43 )
| ( c3_1 @ a43 )
| ( c1_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1947]) ).
thf(zip_derived_cl81,plain,
( ~ hskp25
| ( c1_1 @ a64 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
( ( c1_1 @ a64 )
<= ( c1_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl21,plain,
! [X17: $i,X18: $i,X19: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ndr1_0
| ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ndr1_0
| ~ ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ( c3_1 @ X19 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
<= ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1364,plain,
( ( ( c2_1 @ a64 )
| ~ ( c0_1 @ a64 ) )
<= ( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
& ( c1_1 @ a64 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl258]) ).
thf('7',plain,
( ~ ( c0_1 @ a64 )
| ~ ( c1_1 @ a64 )
| ~ ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
| ( c2_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl1364]) ).
thf(zip_derived_cl178,plain,
( ~ hskp1
| ( c3_1 @ a2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl648,plain,
( ( c3_1 @ a2 )
<= ( c3_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ndr1_0
| ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1616,plain,
( ( ~ ( c0_1 @ a2 )
| ~ ( c1_1 @ a2 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl214]) ).
thf('8',plain,
( ~ ( c1_1 @ a2 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a2 )
| ~ ( c0_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl1616]) ).
thf(zip_derived_cl138,plain,
( ~ hskp11
| ( c1_1 @ a19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl568,plain,
( ( c1_1 @ a19 )
<= ( c1_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl215,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1501,plain,
( ( ~ ( c0_1 @ a19 )
| ~ ( c2_1 @ a19 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ( c1_1 @ a19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl215]) ).
thf('9',plain,
( ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ~ ( c2_1 @ a19 )
| ~ ( c0_1 @ a19 )
| ~ ( c1_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl1501]) ).
thf(zip_derived_cl139,plain,
( ~ hskp11
| ~ ( c3_1 @ a19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl570,plain,
( ~ ( c3_1 @ a19 )
<= ~ ( c3_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl11,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp27
| hskp25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl217,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl810,plain,
( ( ~ ( c1_1 @ a19 )
| ~ ( c2_1 @ a19 ) )
<= ( ~ ( c3_1 @ a19 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl570,zip_derived_cl217]) ).
thf('10',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a19 )
| ( c3_1 @ a19 )
| ~ ( c1_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl810]) ).
thf(zip_derived_cl568_001,plain,
( ( c1_1 @ a19 )
<= ( c1_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl258_002,plain,
( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
<= ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1505,plain,
( ( ( c2_1 @ a19 )
| ~ ( c0_1 @ a19 ) )
<= ( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
& ( c1_1 @ a19 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl568,zip_derived_cl258]) ).
thf('11',plain,
( ( c2_1 @ a19 )
| ~ ( c0_1 @ a19 )
| ~ ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
| ~ ( c1_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl1505]) ).
thf('12',plain,
( ( c1_1 @ a19 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl66,plain,
( ~ hskp29
| ( c1_1 @ a25 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl424,plain,
( ( c1_1 @ a25 )
<= ( c1_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl217_003,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl213,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl693,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl213]) ).
thf(zip_derived_cl695,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl693]) ).
thf(zip_derived_cl1262,plain,
( ~ ( c2_1 @ a25 )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c1_1 @ a25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl695]) ).
thf(zip_derived_cl67,plain,
( ~ hskp29
| ( c2_1 @ a25 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl426,plain,
( ( c2_1 @ a25 )
<= ( c2_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('13',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c1_1 @ a25 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c2_1 @ a25 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1262,zip_derived_cl426]) ).
thf(zip_derived_cl82,plain,
( ~ hskp25
| ( c3_1 @ a64 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl456,plain,
( ( c3_1 @ a64 )
<= ( c3_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl12,plain,
! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 )
| ~ ndr1_0
| hskp18
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
( ! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
<= ! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1372,plain,
( ( ( c2_1 @ a64 )
| ~ ( c1_1 @ a64 ) )
<= ( ! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ( c3_1 @ a64 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl221]) ).
thf('14',plain,
( ~ ! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c1_1 @ a64 )
| ~ ( c3_1 @ a64 )
| ( c2_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl1372]) ).
thf('15',plain,
( hskp18
| hskp14
| ! [X4: $i] :
( ( c2_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl125,plain,
( ~ hskp14
| ~ ( c0_1 @ a26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ~ ( c0_1 @ a26 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl126,plain,
( ~ hskp14
| ~ ( c1_1 @ a26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( ~ ( c1_1 @ a26 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl127,plain,
( ~ hskp14
| ~ ( c2_1 @ a26 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( ~ ( c2_1 @ a26 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl55,plain,
! [X73: $i,X74: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ndr1_0
| ( c2_1 @ X74 )
| ( c3_1 @ X74 )
| ~ ( c0_1 @ X74 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl544,plain,
( ~ ( c1_1 @ a26 )
<= ~ ( c1_1 @ a26 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl1984,plain,
( ( ( c2_1 @ a26 )
| ( c0_1 @ a26 ) )
<= ( ~ ( c1_1 @ a26 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl544]) ).
thf('19',plain,
( ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) )
| ( c0_1 @ a26 )
| ( c1_1 @ a26 )
| ( c2_1 @ a26 ) ),
inference(split,[status(esa)],[zip_derived_cl1984]) ).
thf(zip_derived_cl56,plain,
! [X75: $i,X76: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ( c2_1 @ X75 )
| ~ ndr1_0
| ( c1_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( hskp1
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) )
| ~ ndr1_0
| ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl39,plain,
! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ndr1_0
| hskp29
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( hskp14
| ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 ) )
| hskp29
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl70,plain,
( ~ hskp28
| ( c1_1 @ a15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl432,plain,
( ( c1_1 @ a15 )
<= ( c1_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl258_004,plain,
( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
<= ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1280,plain,
( ( ( c2_1 @ a15 )
| ~ ( c0_1 @ a15 ) )
<= ( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
& ( c1_1 @ a15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl258]) ).
thf('22',plain,
( ( c2_1 @ a15 )
| ~ ( c1_1 @ a15 )
| ~ ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
| ~ ( c0_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl1280]) ).
thf(zip_derived_cl14,plain,
! [X6: $i,X7: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ndr1_0
| ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 )
| ~ ndr1_0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl265,plain,
( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
<= ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1104,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl265]) ).
thf(zip_derived_cl1108,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1104]) ).
thf(zip_derived_cl161,plain,
( ~ hskp5
| ( c0_1 @ a6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
( ( c0_1 @ a6 )
<= ( c0_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl2120,plain,
( ~ ( c2_1 @ a6 )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c0_1 @ a6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1108,zip_derived_cl614]) ).
thf(zip_derived_cl162,plain,
( ~ hskp5
| ( c2_1 @ a6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl616,plain,
( ( c2_1 @ a6 )
<= ( c2_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf('23',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c0_1 @ a6 )
| ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ( c2_1 @ a6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2120,zip_derived_cl616]) ).
thf(zip_derived_cl20,plain,
! [X15: $i,X16: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 )
| ~ ndr1_0
| ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl254,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_cl20]) ).
thf(zip_derived_cl151,plain,
( ~ hskp8
| ~ ( c3_1 @ a11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl594,plain,
( ~ ( c3_1 @ a11 )
<= ~ ( c3_1 @ a11 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl960,plain,
( ( ~ ( c1_1 @ a11 )
| ~ ( c0_1 @ a11 ) )
<= ( ~ ( c3_1 @ a11 )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl594]) ).
thf('24',plain,
( ~ ( c0_1 @ a11 )
| ( c3_1 @ a11 )
| ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c1_1 @ a11 ) ),
inference(split,[status(esa)],[zip_derived_cl960]) ).
thf(zip_derived_cl149,plain,
( ~ hskp8
| ( c1_1 @ a11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl590,plain,
( ( c1_1 @ a11 )
<= ( c1_1 @ a11 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl37,plain,
! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 )
| ~ ndr1_0
| hskp15
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl321,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1641,plain,
( ( ( c0_1 @ a11 )
| ~ ( c2_1 @ a11 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
& ( c1_1 @ a11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl590,zip_derived_cl321]) ).
thf('25',plain,
( ( c0_1 @ a11 )
| ~ ( c2_1 @ a11 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c1_1 @ a11 ) ),
inference(split,[status(esa)],[zip_derived_cl1641]) ).
thf('26',plain,
( ( c1_1 @ a11 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp8
| ( c2_1 @ a11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('27',plain,
( ( c2_1 @ a11 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf('28',plain,
( ~ hskp8
| ~ ( c3_1 @ a11 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl50,plain,
! [X67: $i] :
( ( c0_1 @ X67 )
| ( c1_1 @ X67 )
| ~ ( c3_1 @ X67 )
| ~ ndr1_0
| hskp27
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('29',plain,
( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
| hskp8
| ~ ndr1_0
| hskp27 ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl166,plain,
( ~ hskp4
| ( c3_1 @ a5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl624,plain,
( ( c3_1 @ a5 )
<= ( c3_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl49,plain,
! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 )
| ~ ndr1_0
| hskp9
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
<= ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1807,plain,
( ( ( c0_1 @ a5 )
| ( c1_1 @ a5 ) )
<= ( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
& ( c3_1 @ a5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl369]) ).
thf('30',plain,
( ~ ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
| ( c0_1 @ a5 )
| ( c1_1 @ a5 )
| ~ ( c3_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl113,plain,
( ~ hskp17
| ( c3_1 @ a32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('31',plain,
( ( c3_1 @ a32 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl114,plain,
( ~ hskp17
| ~ ( c0_1 @ a32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('32',plain,
( ~ ( c0_1 @ a32 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( ~ hskp17
| ~ ( c2_1 @ a32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( ~ ( c2_1 @ a32 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl518,plain,
( ( c3_1 @ a32 )
<= ( c3_1 @ a32 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl42,plain,
! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 )
| ~ ndr1_0
| hskp12
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
<= ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1675,plain,
( ( ( c0_1 @ a32 )
| ( c2_1 @ a32 ) )
<= ( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
& ( c3_1 @ a32 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl341]) ).
thf('34',plain,
( ~ ( c3_1 @ a32 )
| ( c0_1 @ a32 )
| ~ ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
| ( c2_1 @ a32 ) ),
inference(split,[status(esa)],[zip_derived_cl1675]) ).
thf(zip_derived_cl2,plain,
( hskp30
| hskp27
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( hskp17
| hskp30
| hskp27 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl177,plain,
( ~ hskp1
| ( c0_1 @ a2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('36',plain,
( ( c0_1 @ a2 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf('37',plain,
( ( c3_1 @ a2 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl179,plain,
( ~ hskp1
| ~ ( c2_1 @ a2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('38',plain,
( ~ ( c2_1 @ a2 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf('39',plain,
( hskp24
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl86,plain,
( ~ hskp24
| ( c3_1 @ a58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl464,plain,
( ( c3_1 @ a58 )
<= ( c3_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl265_005,plain,
( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
<= ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1390,plain,
( ( ~ ( c0_1 @ a58 )
| ~ ( c2_1 @ a58 ) )
<= ( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c3_1 @ a58 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl265]) ).
thf('40',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c2_1 @ a58 )
| ~ ( c3_1 @ a58 )
| ~ ( c0_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl1390]) ).
thf('41',plain,
( ( c3_1 @ a58 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl464_006,plain,
( ( c3_1 @ a58 )
<= ( c3_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl13,plain,
! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 )
| ~ ndr1_0
| hskp22
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl225,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1387,plain,
( ( ( c2_1 @ a58 )
| ~ ( c0_1 @ a58 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a58 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl464,zip_derived_cl225]) ).
thf('42',plain,
( ( c2_1 @ a58 )
| ~ ( c0_1 @ a58 )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ( c3_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl1387]) ).
thf(zip_derived_cl648_007,plain,
( ( c3_1 @ a2 )
<= ( c3_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl225_008,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1619,plain,
( ( ( c2_1 @ a2 )
| ~ ( c0_1 @ a2 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl225]) ).
thf('43',plain,
( ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ( c3_1 @ a2 )
| ( c2_1 @ a2 )
| ~ ( c0_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl1619]) ).
thf(zip_derived_cl1108_009,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1104]) ).
thf(zip_derived_cl65,plain,
( ~ hskp29
| ( c0_1 @ a25 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl422,plain,
( ( c0_1 @ a25 )
<= ( c0_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl2128,plain,
( ~ ( c2_1 @ a25 )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
& ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c0_1 @ a25 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1108,zip_derived_cl422]) ).
thf(zip_derived_cl426_010,plain,
( ( c2_1 @ a25 )
<= ( c2_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('44',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c0_1 @ a25 )
| ~ ( c2_1 @ a25 )
| ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2128,zip_derived_cl426]) ).
thf(zip_derived_cl73,plain,
( ~ hskp27
| ( c1_1 @ a10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl438,plain,
( ( c1_1 @ a10 )
<= ( c1_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl321_011,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1647,plain,
( ( ( c0_1 @ a10 )
| ~ ( c2_1 @ a10 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
& ( c1_1 @ a10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl438,zip_derived_cl321]) ).
thf('45',plain,
( ( c0_1 @ a10 )
| ~ ( c2_1 @ a10 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c1_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl1647]) ).
thf(zip_derived_cl75,plain,
( ~ hskp27
| ( c3_1 @ a10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442,plain,
( ( c3_1 @ a10 )
<= ( c3_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl265_012,plain,
( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
<= ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1358,plain,
( ( ~ ( c0_1 @ a10 )
| ~ ( c2_1 @ a10 ) )
<= ( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c3_1 @ a10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl265]) ).
thf('46',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c0_1 @ a10 )
| ~ ( c3_1 @ a10 )
| ~ ( c2_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl1358]) ).
thf(zip_derived_cl3,plain,
( hskp30
| hskp27
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('47',plain,
( hskp30
| hskp7
| hskp27 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl442_013,plain,
( ( c3_1 @ a10 )
<= ( c3_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl213_014,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1353,plain,
( ( ~ ( c1_1 @ a10 )
| ~ ( c2_1 @ a10 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c3_1 @ a10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl213]) ).
thf('48',plain,
( ~ ( c1_1 @ a10 )
| ~ ( c3_1 @ a10 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c2_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl1353]) ).
thf(zip_derived_cl43,plain,
! [X55: $i] :
( ( c0_1 @ X55 )
| ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 )
| ~ ndr1_0
| hskp11
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('49',plain,
( hskp11
| hskp6
| ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl102,plain,
( ~ hskp20
| ( c3_1 @ a38 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl496,plain,
( ( c3_1 @ a38 )
<= ( c3_1 @ a38 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl341_015,plain,
( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
<= ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1677,plain,
( ( ( c0_1 @ a38 )
| ( c2_1 @ a38 ) )
<= ( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
& ( c3_1 @ a38 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl341]) ).
thf('50',plain,
( ( c2_1 @ a38 )
| ( c0_1 @ a38 )
| ~ ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
| ~ ( c3_1 @ a38 ) ),
inference(split,[status(esa)],[zip_derived_cl1677]) ).
thf(zip_derived_cl496_016,plain,
( ( c3_1 @ a38 )
<= ( c3_1 @ a38 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl213_017,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1452,plain,
( ( ~ ( c1_1 @ a38 )
| ~ ( c2_1 @ a38 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c3_1 @ a38 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl213]) ).
thf('51',plain,
( ~ ( c2_1 @ a38 )
| ~ ( c3_1 @ a38 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c1_1 @ a38 ) ),
inference(split,[status(esa)],[zip_derived_cl1452]) ).
thf(zip_derived_cl101,plain,
( ~ hskp20
| ( c1_1 @ a38 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ( c1_1 @ a38 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf('53',plain,
( ( c3_1 @ a38 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp20
| ~ ( c0_1 @ a38 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ~ ( c0_1 @ a38 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl24,plain,
! [X24: $i,X25: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 )
| ~ ndr1_0
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('55',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| hskp29
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 )
| ~ ndr1_0
| hskp29
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( hskp20
| ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ~ ndr1_0
| hskp29 ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl570_018,plain,
( ~ ( c3_1 @ a19 )
<= ~ ( c3_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl230,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl811,plain,
( ( ( c2_1 @ a19 )
| ~ ( c1_1 @ a19 ) )
<= ( ~ ( c3_1 @ a19 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl570,zip_derived_cl230]) ).
thf(zip_derived_cl3075,plain,
( ( c2_1 @ a19 )
<= ( c2_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl811]) ).
thf(zip_derived_cl259,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl215_019,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1019,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl215]) ).
thf(zip_derived_cl1065,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1019]) ).
thf(zip_derived_cl137,plain,
( ~ hskp11
| ( c0_1 @ a19 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl566,plain,
( ( c0_1 @ a19 )
<= ( c0_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl2098,plain,
( ~ ( c2_1 @ a19 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
& ( c0_1 @ a19 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1065,zip_derived_cl566]) ).
thf('57',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c2_1 @ a19 )
| ~ ( c0_1 @ a19 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3075,zip_derived_cl2098]) ).
thf('58',plain,
( ( c0_1 @ a19 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf('59',plain,
( ~ ( c3_1 @ a19 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl5,plain,
( hskp11
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( hskp11
| hskp22 ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl259_020,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl167,plain,
( ~ hskp4
| ~ ( c1_1 @ a5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl626,plain,
( ~ ( c1_1 @ a5 )
<= ~ ( c1_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl1025,plain,
( ( ~ ( c2_1 @ a5 )
| ~ ( c0_1 @ a5 ) )
<= ( ~ ( c1_1 @ a5 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl626]) ).
thf('61',plain,
( ~ ( c0_1 @ a5 )
| ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ( c1_1 @ a5 )
| ~ ( c2_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl1025]) ).
thf(zip_derived_cl52,plain,
! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 )
| ~ ndr1_0
| hskp5
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl381,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl626_021,plain,
( ~ ( c1_1 @ a5 )
<= ~ ( c1_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl1879,plain,
( ( ~ ( c2_1 @ a5 )
| ( c0_1 @ a5 ) )
<= ( ~ ( c1_1 @ a5 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl626]) ).
thf('62',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) )
| ( c0_1 @ a5 )
| ( c1_1 @ a5 )
| ~ ( c2_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl1879]) ).
thf(zip_derived_cl570_022,plain,
( ~ ( c3_1 @ a19 )
<= ~ ( c3_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl15,plain,
! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ndr1_0
| hskp2
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl233,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl813,plain,
( ( ( c2_1 @ a19 )
| ~ ( c0_1 @ a19 ) )
<= ( ~ ( c3_1 @ a19 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl570,zip_derived_cl233]) ).
thf('63',plain,
( ( c2_1 @ a19 )
| ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ( c3_1 @ a19 )
| ~ ( c0_1 @ a19 ) ),
inference(split,[status(esa)],[zip_derived_cl813]) ).
thf(zip_derived_cl1065_023,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1019]) ).
thf(zip_derived_cl614_024,plain,
( ( c0_1 @ a6 )
<= ( c0_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl2096,plain,
( ~ ( c2_1 @ a6 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
& ( c0_1 @ a6 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1065,zip_derived_cl614]) ).
thf(zip_derived_cl616_025,plain,
( ( c2_1 @ a6 )
<= ( c2_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf('64',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c0_1 @ a6 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ~ ( c2_1 @ a6 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2096,zip_derived_cl616]) ).
thf(zip_derived_cl71,plain,
( ~ hskp28
| ( c3_1 @ a15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl434,plain,
( ( c3_1 @ a15 )
<= ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl265_026,plain,
( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
<= ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1290,plain,
( ( ~ ( c0_1 @ a15 )
| ~ ( c2_1 @ a15 ) )
<= ( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c3_1 @ a15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl265]) ).
thf('65',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c2_1 @ a15 )
| ~ ( c3_1 @ a15 )
| ~ ( c0_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl1290]) ).
thf(zip_derived_cl434_027,plain,
( ( c3_1 @ a15 )
<= ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl225_028,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1287,plain,
( ( ( c2_1 @ a15 )
| ~ ( c0_1 @ a15 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl225]) ).
thf('66',plain,
( ( c2_1 @ a15 )
| ~ ( c0_1 @ a15 )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl1287]) ).
thf(zip_derived_cl63,plain,
( ~ hskp30
| ( c3_1 @ a33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl418,plain,
( ( c3_1 @ a33 )
<= ( c3_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl265_029,plain,
( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
<= ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1254,plain,
( ( ~ ( c0_1 @ a33 )
| ~ ( c2_1 @ a33 ) )
<= ( ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
& ( c3_1 @ a33 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl265]) ).
thf('67',plain,
( ~ ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ( c0_1 @ a33 )
| ~ ( c3_1 @ a33 )
| ~ ( c2_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl1254]) ).
thf('68',plain,
( ! [X18: $i] :
( ( c2_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c1_1 @ X18 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl266_030,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl482_031,plain,
( ~ ( c3_1 @ a43 )
<= ~ ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1139,plain,
( ( ~ ( c0_1 @ a43 )
| ( c1_1 @ a43 ) )
<= ( ~ ( c3_1 @ a43 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl482]) ).
thf('69',plain,
( ~ ( c0_1 @ a43 )
| ( c1_1 @ a43 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
| ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1139]) ).
thf(zip_derived_cl329,plain,
( ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 ) )
<= ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl482_032,plain,
( ~ ( c3_1 @ a43 )
<= ~ ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1767,plain,
( ( ~ ( c2_1 @ a43 )
| ( c0_1 @ a43 ) )
<= ( ~ ( c3_1 @ a43 )
& ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl329,zip_derived_cl482]) ).
thf('70',plain,
( ~ ! [X49: $i] :
( ( c0_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c2_1 @ X49 ) )
| ( c0_1 @ a43 )
| ~ ( c2_1 @ a43 )
| ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1767]) ).
thf(zip_derived_cl16,plain,
! [X9: $i,X10: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c0_1 @ X9 )
| ~ ndr1_0
| ( c2_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ndr1_0
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('71',plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| hskp22
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl147,plain,
( ~ hskp9
| ~ ( c3_1 @ a12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl586,plain,
( ~ ( c3_1 @ a12 )
<= ~ ( c3_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl233_033,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl851,plain,
( ( ( c2_1 @ a12 )
| ~ ( c0_1 @ a12 ) )
<= ( ~ ( c3_1 @ a12 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl586,zip_derived_cl233]) ).
thf('72',plain,
( ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ~ ( c0_1 @ a12 )
| ( c3_1 @ a12 )
| ( c2_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl851]) ).
thf(zip_derived_cl41,plain,
! [X52: $i,X53: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ndr1_0
| ( c1_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl338,plain,
( ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) )
<= ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl586_034,plain,
( ~ ( c3_1 @ a12 )
<= ~ ( c3_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl1839,plain,
( ( ~ ( c1_1 @ a12 )
| ( c0_1 @ a12 ) )
<= ( ~ ( c3_1 @ a12 )
& ! [X52: $i] :
( ( c0_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl586]) ).
thf(zip_derived_cl3972,plain,
( ( c0_1 @ a12 )
<= ( c0_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl1839]) ).
thf(zip_derived_cl145,plain,
( ~ hskp9
| ( c1_1 @ a12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl582,plain,
( ( c1_1 @ a12 )
<= ( c1_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl254_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_cl20]) ).
thf(zip_derived_cl214_036,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl952,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl214]) ).
thf(zip_derived_cl980,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl952]) ).
thf(zip_derived_cl1514,plain,
( ~ ( c0_1 @ a12 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ( c1_1 @ a12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl980]) ).
thf('73',plain,
( ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c0_1 @ a12 )
| ~ ( c1_1 @ a12 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3972,zip_derived_cl1514]) ).
thf(zip_derived_cl582_037,plain,
( ( c1_1 @ a12 )
<= ( c1_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl46,plain,
! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ndr1_0
| hskp28
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl357,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1738,plain,
( ( ( c0_1 @ a12 )
| ( c2_1 @ a12 ) )
<= ( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
& ( c1_1 @ a12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl582,zip_derived_cl357]) ).
thf('74',plain,
( ( c0_1 @ a12 )
| ~ ( c1_1 @ a12 )
| ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| ( c2_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl1738]) ).
thf(zip_derived_cl586_038,plain,
( ~ ( c3_1 @ a12 )
<= ~ ( c3_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl230_039,plain,
( ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
<= ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl849,plain,
( ( ( c2_1 @ a12 )
| ~ ( c1_1 @ a12 ) )
<= ( ~ ( c3_1 @ a12 )
& ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl586,zip_derived_cl230]) ).
thf('75',plain,
( ~ ! [X6: $i] :
( ( c2_1 @ X6 )
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 ) )
| ( c2_1 @ a12 )
| ( c3_1 @ a12 )
| ~ ( c1_1 @ a12 ) ),
inference(split,[status(esa)],[zip_derived_cl849]) ).
thf('76',plain,
( ( c1_1 @ a12 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl146,plain,
( ~ hskp9
| ~ ( c2_1 @ a12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( ~ ( c2_1 @ a12 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf('78',plain,
( ~ ( c3_1 @ a12 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl8,plain,
( hskp28
| hskp7
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('79',plain,
( hskp9
| hskp7
| hskp28 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf('80',plain,
( hskp25
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0
| hskp27 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf('81',plain,
( hskp28
| ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| hskp27
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl424_040,plain,
( ( c1_1 @ a25 )
<= ( c1_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl217_041,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl214_042,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl692,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl214]) ).
thf(zip_derived_cl694,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl692]) ).
thf(zip_derived_cl1261,plain,
( ( ~ ( c0_1 @ a25 )
| ~ ( c2_1 @ a25 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c1_1 @ a25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl694]) ).
thf('82',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c1_1 @ a25 )
| ~ ( c2_1 @ a25 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c0_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl1261]) ).
thf('83',plain,
( ( c3_1 @ a64 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl456_043,plain,
( ( c3_1 @ a64 )
<= ( c3_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl214_044,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1370,plain,
( ( ~ ( c0_1 @ a64 )
| ~ ( c1_1 @ a64 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a64 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl456,zip_derived_cl214]) ).
thf('84',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c1_1 @ a64 )
| ~ ( c3_1 @ a64 )
| ~ ( c0_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl1370]) ).
thf('85',plain,
( ( c1_1 @ a64 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
( ~ hskp25
| ~ ( c2_1 @ a64 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('86',plain,
( ~ ( c2_1 @ a64 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl454_045,plain,
( ( c1_1 @ a64 )
<= ( c1_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl357_046,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1742,plain,
( ( ( c0_1 @ a64 )
| ( c2_1 @ a64 ) )
<= ( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
& ( c1_1 @ a64 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl357]) ).
thf('87',plain,
( ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| ( c0_1 @ a64 )
| ( c2_1 @ a64 )
| ~ ( c1_1 @ a64 ) ),
inference(split,[status(esa)],[zip_derived_cl1742]) ).
thf('88',plain,
( ( c1_1 @ a10 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl442_047,plain,
( ( c3_1 @ a10 )
<= ( c3_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl214_048,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1352,plain,
( ( ~ ( c0_1 @ a10 )
| ~ ( c1_1 @ a10 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl214]) ).
thf('89',plain,
( ~ ( c0_1 @ a10 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a10 )
| ~ ( c1_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl1352]) ).
thf(zip_derived_cl74,plain,
( ~ hskp27
| ( c2_1 @ a10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( ( c2_1 @ a10 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('91',plain,
( ( c3_1 @ a10 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl442_049,plain,
( ( c3_1 @ a10 )
<= ( c3_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl309_050,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1597,plain,
( ( ( c0_1 @ a10 )
| ~ ( c2_1 @ a10 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c3_1 @ a10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl309]) ).
thf('92',plain,
( ( c0_1 @ a10 )
| ~ ( c3_1 @ a10 )
| ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ( c2_1 @ a10 ) ),
inference(split,[status(esa)],[zip_derived_cl1597]) ).
thf(zip_derived_cl36,plain,
! [X42: $i,X43: $i,X44: $i] :
( ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 )
| ~ ndr1_0
| ( c1_1 @ X43 )
| ~ ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ndr1_0
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c2_1 @ X44 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ndr1_0
| ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl35,plain,
! [X40: $i,X41: $i] :
( ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| ( c1_1 @ X41 )
| ~ ( c0_1 @ X41 )
| ~ ( c2_1 @ X41 )
| ~ ndr1_0
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('94',plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| hskp5
| ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl259_051,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl618_052,plain,
( ~ ( c3_1 @ a6 )
<= ~ ( c3_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl217_053,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl880,plain,
( ( ~ ( c1_1 @ a6 )
| ~ ( c2_1 @ a6 ) )
<= ( ~ ( c3_1 @ a6 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl217]) ).
thf(zip_derived_cl942,plain,
( ~ ( c1_1 @ a6 )
<= ~ ( c1_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl880]) ).
thf(zip_derived_cl1026,plain,
( ( ~ ( c2_1 @ a6 )
| ~ ( c0_1 @ a6 ) )
<= ( ~ ( c1_1 @ a6 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl942]) ).
thf('95',plain,
( ( c1_1 @ a6 )
| ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c0_1 @ a6 )
| ~ ( c2_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl1026]) ).
thf(zip_derived_cl26,plain,
! [X28: $i,X29: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 )
| ~ ndr1_0
| ( c3_1 @ X29 )
| ~ ( c0_1 @ X29 )
| ~ ( c1_1 @ X29 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('96',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| hskp0
| ~ ndr1_0
| ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl181,plain,
( ~ hskp0
| ( c1_1 @ a1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ( c1_1 @ a1 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl182,plain,
( ~ hskp0
| ( c2_1 @ a1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('98',plain,
( ( c2_1 @ a1 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl183,plain,
( ~ hskp0
| ~ ( c0_1 @ a1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( ~ ( c0_1 @ a1 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl654,plain,
( ( c1_1 @ a1 )
<= ( c1_1 @ a1 ) ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl321_054,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl1639,plain,
( ( ( c0_1 @ a1 )
| ~ ( c2_1 @ a1 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
& ( c1_1 @ a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl654,zip_derived_cl321]) ).
thf('100',plain,
( ~ ( c1_1 @ a1 )
| ~ ( c2_1 @ a1 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ( c0_1 @ a1 ) ),
inference(split,[status(esa)],[zip_derived_cl1639]) ).
thf(zip_derived_cl38,plain,
! [X46: $i,X47: $i,X48: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ndr1_0
| ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ndr1_0
| ( c2_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c3_1 @ X48 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ! [X47: $i] :
( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ~ ndr1_0
| ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl259_055,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl94,plain,
( ~ hskp22
| ~ ( c1_1 @ a43 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl480,plain,
( ~ ( c1_1 @ a43 )
<= ~ ( c1_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1038,plain,
( ( ~ ( c2_1 @ a43 )
| ~ ( c0_1 @ a43 ) )
<= ( ~ ( c1_1 @ a43 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl480]) ).
thf('102',plain,
( ~ ( c0_1 @ a43 )
| ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ( c1_1 @ a43 )
| ~ ( c2_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1038]) ).
thf(zip_derived_cl381_056,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl480_057,plain,
( ~ ( c1_1 @ a43 )
<= ~ ( c1_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl1892,plain,
( ( ~ ( c2_1 @ a43 )
| ( c0_1 @ a43 ) )
<= ( ~ ( c1_1 @ a43 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl480]) ).
thf('103',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) )
| ( c0_1 @ a43 )
| ( c1_1 @ a43 )
| ~ ( c2_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1892]) ).
thf('104',plain,
( hskp4
| hskp2
| ~ ndr1_0
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl105,plain,
( ~ hskp19
| ~ ( c1_1 @ a36 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('105',plain,
( ~ ( c1_1 @ a36 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl106,plain,
( ~ hskp19
| ~ ( c2_1 @ a36 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ~ ( c2_1 @ a36 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl233_058,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl107,plain,
( ~ hskp19
| ~ ( c3_1 @ a36 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl506,plain,
( ~ ( c3_1 @ a36 )
<= ~ ( c3_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl767,plain,
( ( ~ ( c0_1 @ a36 )
| ( c2_1 @ a36 ) )
<= ( ~ ( c3_1 @ a36 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl506]) ).
thf('107',plain,
( ~ ( c0_1 @ a36 )
| ( c3_1 @ a36 )
| ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ( c2_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl767]) ).
thf(zip_derived_cl109,plain,
( ~ hskp18
| ( c3_1 @ a34 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl510,plain,
( ( c3_1 @ a34 )
<= ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl270,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1466,plain,
( ( ( c1_1 @ a34 )
| ( c2_1 @ a34 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
& ( c3_1 @ a34 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl270]) ).
thf('108',plain,
( ~ ( c3_1 @ a34 )
| ( c1_1 @ a34 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ( c2_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl1466]) ).
thf(zip_derived_cl57,plain,
! [X77: $i,X78: $i,X79: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ndr1_0
| ( c1_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c0_1 @ X78 )
| ~ ndr1_0
| ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ~ ndr1_0
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl48,plain,
! [X64: $i,X65: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c1_1 @ X64 )
| ~ ndr1_0
| ( c0_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( hskp6
| ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
| ~ ndr1_0
| ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl51,plain,
! [X68: $i] :
( ( c0_1 @ X68 )
| ( c1_1 @ X68 )
| ~ ( c3_1 @ X68 )
| ~ ndr1_0
| hskp6
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('111',plain,
( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
| hskp6
| hskp7
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl153,plain,
( ~ hskp7
| ( c1_1 @ a9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ( c1_1 @ a9 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp7
| ~ ( c0_1 @ a9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( ~ ( c0_1 @ a9 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp7
| ~ ( c2_1 @ a9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ~ ( c2_1 @ a9 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl598,plain,
( ( c1_1 @ a9 )
<= ( c1_1 @ a9 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl357_059,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl1736,plain,
( ( ( c0_1 @ a9 )
| ( c2_1 @ a9 ) )
<= ( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
& ( c1_1 @ a9 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl598,zip_derived_cl357]) ).
thf('115',plain,
( ( c0_1 @ a9 )
| ( c2_1 @ a9 )
| ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| ~ ( c1_1 @ a9 ) ),
inference(split,[status(esa)],[zip_derived_cl1736]) ).
thf(zip_derived_cl393_060,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl110,plain,
( ~ hskp18
| ~ ( c1_1 @ a34 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl512,plain,
( ~ ( c1_1 @ a34 )
<= ~ ( c1_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl1986,plain,
( ( ( c2_1 @ a34 )
| ( c0_1 @ a34 ) )
<= ( ~ ( c1_1 @ a34 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl512]) ).
thf('116',plain,
( ( c0_1 @ a34 )
| ( c2_1 @ a34 )
| ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ( c2_1 @ X73 ) )
| ( c1_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl1986]) ).
thf(zip_derived_cl510_061,plain,
( ( c3_1 @ a34 )
<= ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl369_062,plain,
( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
<= ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl1809,plain,
( ( ( c0_1 @ a34 )
| ( c1_1 @ a34 ) )
<= ( ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
& ( c3_1 @ a34 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl369]) ).
thf('117',plain,
( ( c0_1 @ a34 )
| ( c1_1 @ a34 )
| ~ ! [X66: $i] :
( ( c0_1 @ X66 )
| ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 ) )
| ~ ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl1809]) ).
thf(zip_derived_cl510_063,plain,
( ( c3_1 @ a34 )
<= ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl341_064,plain,
( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
<= ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1676,plain,
( ( ( c0_1 @ a34 )
| ( c2_1 @ a34 ) )
<= ( ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
& ( c3_1 @ a34 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl341]) ).
thf('118',plain,
( ( c0_1 @ a34 )
| ( c2_1 @ a34 )
| ~ ! [X54: $i] :
( ( c0_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c3_1 @ X54 ) )
| ~ ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl1676]) ).
thf(zip_derived_cl510_065,plain,
( ( c3_1 @ a34 )
<= ( c3_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl225_066,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1462,plain,
( ( ( c2_1 @ a34 )
| ~ ( c0_1 @ a34 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
& ( c3_1 @ a34 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl510,zip_derived_cl225]) ).
thf('119',plain,
( ~ ( c0_1 @ a34 )
| ~ ( c3_1 @ a34 )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ( c2_1 @ a34 ) ),
inference(split,[status(esa)],[zip_derived_cl1462]) ).
thf(zip_derived_cl157,plain,
( ~ hskp6
| ( c0_1 @ a8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('120',plain,
( ( c0_1 @ a8 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp6
| ~ ( c2_1 @ a8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('121',plain,
( ~ ( c2_1 @ a8 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp6
| ~ ( c3_1 @ a8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('122',plain,
( ~ ( c3_1 @ a8 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl610,plain,
( ~ ( c3_1 @ a8 )
<= ~ ( c3_1 @ a8 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl233_067,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl875,plain,
( ( ( c2_1 @ a8 )
| ~ ( c0_1 @ a8 ) )
<= ( ~ ( c3_1 @ a8 )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl610,zip_derived_cl233]) ).
thf('123',plain,
( ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 ) )
| ( c2_1 @ a8 )
| ( c3_1 @ a8 )
| ~ ( c0_1 @ a8 ) ),
inference(split,[status(esa)],[zip_derived_cl875]) ).
thf('124',plain,
( ( c3_1 @ a34 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf('125',plain,
( ~ ( c1_1 @ a34 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp18
| ~ ( c2_1 @ a34 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('126',plain,
( ~ ( c2_1 @ a34 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl4,plain,
( hskp30
| hskp2
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('127',plain,
( hskp30
| hskp2
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('128',plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl418_068,plain,
( ( c3_1 @ a33 )
<= ( c3_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl214_069,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1248,plain,
( ( ~ ( c0_1 @ a33 )
| ~ ( c1_1 @ a33 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a33 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl214]) ).
thf(zip_derived_cl2142,plain,
( ~ ( c1_1 @ a33 )
<= ~ ( c1_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl1248]) ).
thf(zip_derived_cl259_070,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl2144,plain,
( ( ~ ( c0_1 @ a33 )
| ~ ( c2_1 @ a33 ) )
<= ( ~ ( c1_1 @ a33 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2142,zip_derived_cl259]) ).
thf('129',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ( c1_1 @ a33 )
| ~ ( c0_1 @ a33 )
| ~ ( c2_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl2144]) ).
thf('130',plain,
( ~ ( c1_1 @ a33 )
| ~ ( c3_1 @ a33 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl1248]) ).
thf(zip_derived_cl1065_071,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1019]) ).
thf(zip_derived_cl61,plain,
( ~ hskp30
| ( c0_1 @ a33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl414,plain,
( ( c0_1 @ a33 )
<= ( c0_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2105,plain,
( ~ ( c2_1 @ a33 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
& ( c0_1 @ a33 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1065,zip_derived_cl414]) ).
thf(zip_derived_cl62,plain,
( ~ hskp30
| ( c2_1 @ a33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl416,plain,
( ( c2_1 @ a33 )
<= ( c2_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('131',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c0_1 @ a33 )
| ~ ( c2_1 @ a33 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2105,zip_derived_cl416]) ).
thf('132',plain,
( ( c0_1 @ a33 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('133',plain,
( ( c2_1 @ a33 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('134',plain,
( ( c3_1 @ a33 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl418_072,plain,
( ( c3_1 @ a33 )
<= ( c3_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl213_073,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1249,plain,
( ( ~ ( c1_1 @ a33 )
| ~ ( c2_1 @ a33 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c3_1 @ a33 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl213]) ).
thf('135',plain,
( ~ ( c1_1 @ a33 )
| ~ ( c3_1 @ a33 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c2_1 @ a33 ) ),
inference(split,[status(esa)],[zip_derived_cl1249]) ).
thf(zip_derived_cl259_074,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl87,plain,
( ~ hskp24
| ~ ( c1_1 @ a58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( ~ ( c1_1 @ a58 )
<= ~ ( c1_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1040,plain,
( ( ~ ( c2_1 @ a58 )
| ~ ( c0_1 @ a58 ) )
<= ( ~ ( c1_1 @ a58 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl466]) ).
thf('136',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c2_1 @ a58 )
| ~ ( c0_1 @ a58 )
| ( c1_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl1040]) ).
thf(zip_derived_cl85,plain,
( ~ hskp24
| ( c0_1 @ a58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ( c0_1 @ a58 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('138',plain,
( ~ ( c1_1 @ a58 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1,plain,
( hskp2
| hskp24
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('139',plain,
( hskp24
| hskp2
| hskp23 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl89,plain,
( ~ hskp23
| ( c0_1 @ a52 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('140',plain,
( ( c0_1 @ a52 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl90,plain,
( ~ hskp23
| ~ ( c1_1 @ a52 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('141',plain,
( ~ ( c1_1 @ a52 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl91,plain,
( ~ hskp23
| ~ ( c2_1 @ a52 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('142',plain,
( ~ ( c2_1 @ a52 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl28,plain,
! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ndr1_0
| hskp0
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
<= ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl472,plain,
( ~ ( c1_1 @ a52 )
<= ~ ( c1_1 @ a52 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl1313,plain,
( ( ~ ( c0_1 @ a52 )
| ( c2_1 @ a52 ) )
<= ( ~ ( c1_1 @ a52 )
& ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl472]) ).
thf('143',plain,
( ~ ( c0_1 @ a52 )
| ( c1_1 @ a52 )
| ~ ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ( c2_1 @ a52 ) ),
inference(split,[status(esa)],[zip_derived_cl1313]) ).
thf(zip_derived_cl285_075,plain,
( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
<= ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl466_076,plain,
( ~ ( c1_1 @ a58 )
<= ~ ( c1_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl1314,plain,
( ( ~ ( c0_1 @ a58 )
| ( c2_1 @ a58 ) )
<= ( ~ ( c1_1 @ a58 )
& ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl466]) ).
thf('144',plain,
( ( c2_1 @ a58 )
| ~ ( c0_1 @ a58 )
| ~ ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ( c1_1 @ a58 ) ),
inference(split,[status(esa)],[zip_derived_cl1314]) ).
thf(zip_derived_cl173,plain,
( ~ hskp2
| ( c0_1 @ a3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('145',plain,
( ( c0_1 @ a3 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl174,plain,
( ~ hskp2
| ( c2_1 @ a3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ( c2_1 @ a3 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl175,plain,
( ~ hskp2
| ~ ( c1_1 @ a3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('147',plain,
( ~ ( c1_1 @ a3 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl259_077,plain,
( ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
<= ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl642,plain,
( ~ ( c1_1 @ a3 )
<= ~ ( c1_1 @ a3 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1023,plain,
( ( ~ ( c2_1 @ a3 )
| ~ ( c0_1 @ a3 ) )
<= ( ~ ( c1_1 @ a3 )
& ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl642]) ).
thf('148',plain,
( ~ ! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 ) )
| ~ ( c0_1 @ a3 )
| ( c1_1 @ a3 )
| ~ ( c2_1 @ a3 ) ),
inference(split,[status(esa)],[zip_derived_cl1023]) ).
thf(zip_derived_cl254_078,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_cl20]) ).
thf(zip_derived_cl618_079,plain,
( ~ ( c3_1 @ a6 )
<= ~ ( c3_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl958,plain,
( ( ~ ( c1_1 @ a6 )
| ~ ( c0_1 @ a6 ) )
<= ( ~ ( c3_1 @ a6 )
& ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl618]) ).
thf('149',plain,
( ~ ! [X16: $i] :
( ( c3_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ~ ( c1_1 @ a6 )
| ~ ( c0_1 @ a6 )
| ( c3_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl68,plain,
( ~ hskp28
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ndr1_0
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl144,plain,
( ~ hskp9
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('151',plain,
( ndr1_0
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl144]) ).
thf(zip_derived_cl176,plain,
( ~ hskp1
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('152',plain,
( ndr1_0
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl9,plain,
( hskp28
| hskp1
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('153',plain,
( hskp9
| hskp1
| hskp28 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('154',plain,
( ( c0_1 @ a6 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf('155',plain,
( ( c2_1 @ a6 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf('156',plain,
( ~ ( c3_1 @ a6 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl618_080,plain,
( ~ ( c3_1 @ a6 )
<= ~ ( c3_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl229_081,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl882,plain,
( ( ~ ( c0_1 @ a6 )
| ~ ( c2_1 @ a6 ) )
<= ( ~ ( c3_1 @ a6 )
& ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl618,zip_derived_cl229]) ).
thf('157',plain,
( ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c2_1 @ X7 ) )
| ~ ( c0_1 @ a6 )
| ( c3_1 @ a6 )
| ~ ( c2_1 @ a6 ) ),
inference(split,[status(esa)],[zip_derived_cl882]) ).
thf('158',plain,
( ( c3_1 @ a15 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl69,plain,
( ~ hskp28
| ( c0_1 @ a15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('159',plain,
( ( c0_1 @ a15 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf('160',plain,
( ( c1_1 @ a15 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl434_082,plain,
( ( c3_1 @ a15 )
<= ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl214_083,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1284,plain,
( ( ~ ( c0_1 @ a15 )
| ~ ( c1_1 @ a15 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c3_1 @ a15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl214]) ).
thf('161',plain,
( ~ ( c0_1 @ a15 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c1_1 @ a15 )
| ~ ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl1284]) ).
thf(zip_derived_cl648_084,plain,
( ( c3_1 @ a2 )
<= ( c3_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl270_085,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1623,plain,
( ( ( c1_1 @ a2 )
| ( c2_1 @ a2 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
& ( c3_1 @ a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl648,zip_derived_cl270]) ).
thf('162',plain,
( ( c1_1 @ a2 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ( c3_1 @ a2 )
| ( c2_1 @ a2 ) ),
inference(split,[status(esa)],[zip_derived_cl1623]) ).
thf('163',plain,
( ( c0_1 @ a25 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('164',plain,
( ( c1_1 @ a25 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf('165',plain,
( ( c2_1 @ a25 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl424_086,plain,
( ( c1_1 @ a25 )
<= ( c1_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl215_087,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1260,plain,
( ( ~ ( c0_1 @ a25 )
| ~ ( c2_1 @ a25 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
& ( c1_1 @ a25 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl215]) ).
thf('166',plain,
( ~ ( c0_1 @ a25 )
| ~ ( c2_1 @ a25 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
| ~ ( c1_1 @ a25 ) ),
inference(split,[status(esa)],[zip_derived_cl1260]) ).
thf(zip_derived_cl434_088,plain,
( ( c3_1 @ a15 )
<= ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl213_089,plain,
( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1285,plain,
( ( ~ ( c1_1 @ a15 )
| ~ ( c2_1 @ a15 ) )
<= ( ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c3_1 @ a15 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl213]) ).
thf('167',plain,
( ~ ( c2_1 @ a15 )
| ~ ( c1_1 @ a15 )
| ~ ! [X2: $i] :
( ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c3_1 @ a15 ) ),
inference(split,[status(esa)],[zip_derived_cl1285]) ).
thf('168',plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
| hskp29
| ! [X23: $i] :
( ~ ( c0_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf('169',plain,
( hskp5
| hskp0
| ~ ndr1_0
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl93,plain,
( ~ hskp22
| ( c2_1 @ a43 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('170',plain,
( ( c2_1 @ a43 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl325,plain,
( ! [X47: $i] :
( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
<= ! [X47: $i] :
( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl482_090,plain,
( ~ ( c3_1 @ a43 )
<= ~ ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1711,plain,
( ( ~ ( c2_1 @ a43 )
| ( c1_1 @ a43 ) )
<= ( ~ ( c3_1 @ a43 )
& ! [X47: $i] :
( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl325,zip_derived_cl482]) ).
thf('171',plain,
( ~ ! [X47: $i] :
( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ~ ( c2_1 @ a43 )
| ( c1_1 @ a43 )
| ( c3_1 @ a43 ) ),
inference(split,[status(esa)],[zip_derived_cl1711]) ).
thf('172',plain,
( ~ ( c1_1 @ a43 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf('173',plain,
( ~ ( c3_1 @ a43 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('174',plain,
( hskp19
| hskp22
| ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('175',plain,
( ~ ( c3_1 @ a36 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl266_091,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl506_092,plain,
( ~ ( c3_1 @ a36 )
<= ~ ( c3_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1138,plain,
( ( ~ ( c0_1 @ a36 )
| ( c1_1 @ a36 ) )
<= ( ~ ( c3_1 @ a36 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl506]) ).
thf('176',plain,
( ~ ( c0_1 @ a36 )
| ( c3_1 @ a36 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) )
| ( c1_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl1138]) ).
thf(zip_derived_cl385_093,plain,
( ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
<= ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl506_094,plain,
( ~ ( c3_1 @ a36 )
<= ~ ( c3_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl1946,plain,
( ( ( c1_1 @ a36 )
| ( c0_1 @ a36 ) )
<= ( ~ ( c3_1 @ a36 )
& ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl506]) ).
thf('177',plain,
( ~ ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
| ( c0_1 @ a36 )
| ( c3_1 @ a36 )
| ( c1_1 @ a36 ) ),
inference(split,[status(esa)],[zip_derived_cl1946]) ).
thf('178',plain,
( hskp4
| ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c1_1 @ X70 )
| ( c3_1 @ X70 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl165,plain,
( ~ hskp4
| ( c2_1 @ a5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('179',plain,
( ( c2_1 @ a5 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf('180',plain,
( ( c3_1 @ a5 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf('181',plain,
( ~ ( c1_1 @ a5 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl624_095,plain,
( ( c3_1 @ a5 )
<= ( c3_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl17,plain,
! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 )
| ~ ndr1_0
| hskp1
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1563,plain,
( ( ( c1_1 @ a5 )
| ~ ( c2_1 @ a5 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c3_1 @ a5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl241]) ).
thf('182',plain,
( ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a5 )
| ( c1_1 @ a5 )
| ~ ( c2_1 @ a5 ) ),
inference(split,[status(esa)],[zip_derived_cl1563]) ).
thf(zip_derived_cl27,plain,
! [X30: $i,X31: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 )
| ~ ndr1_0
| ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 )
| ~ ndr1_0
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('183',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| hskp22
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl630_096,plain,
( ( c3_1 @ a4 )
<= ( c3_1 @ a4 ) ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl270_097,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1574,plain,
( ( ( c1_1 @ a4 )
| ( c2_1 @ a4 ) )
<= ( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
& ( c3_1 @ a4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl630,zip_derived_cl270]) ).
thf('184',plain,
( ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c3_1 @ X24 ) )
| ~ ( c3_1 @ a4 )
| ( c1_1 @ a4 )
| ( c2_1 @ a4 ) ),
inference(split,[status(esa)],[zip_derived_cl1574]) ).
thf(zip_derived_cl7669,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.edWio8sjS5 true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:59:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.99/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.63/1.57 % Solved by fo/fo1_av.sh.
% 5.63/1.57 % done 2079 iterations in 0.747s
% 5.63/1.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.63/1.57 % SZS output start Refutation
% See solution above
% 5.63/1.58
% 5.63/1.58
% 5.63/1.58 % Terminating...
% 7.27/1.66 % Runner terminated.
% 7.27/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------