TSTP Solution File: SYN454+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN454+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cWlQ3byqyd true
% Computer : n013.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 04:03:38 EDT 2023
% Result : Theorem 14.49s 2.66s
% Output : Refutation 14.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 66
% Syntax : Number of formulae : 673 ( 1 unt; 65 typ; 0 def)
% Number of atoms : 4116 ( 0 equ; 0 cnn)
% Maximal formula atoms : 576 ( 6 avg)
% Number of connectives : 8973 (2199 ~;2571 |; 481 &;3266 @)
% ( 0 <=>; 166 =>; 290 <=; 0 <~>)
% Maximal formula depth : 93 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 65 usr; 62 con; 0-1 aty)
% Number of variables : 761 ( 0 ^; 761 !; 0 ?; 761 :)
% Comments :
%------------------------------------------------------------------------------
thf(a99_type,type,
a99: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a109_type,type,
a109: $i ).
thf(a152_type,type,
a152: $i ).
thf(a142_type,type,
a142: $i ).
thf(a118_type,type,
a118: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a96_type,type,
a96: $i ).
thf(a102_type,type,
a102: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a97_type,type,
a97: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a100_type,type,
a100: $i ).
thf(a127_type,type,
a127: $i ).
thf(a149_type,type,
a149: $i ).
thf(a165_type,type,
a165: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a106_type,type,
a106: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a105_type,type,
a105: $i ).
thf(a110_type,type,
a110: $i ).
thf(a125_type,type,
a125: $i ).
thf(a145_type,type,
a145: $i ).
thf(a94_type,type,
a94: $i ).
thf(a124_type,type,
a124: $i ).
thf(a116_type,type,
a116: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a133_type,type,
a133: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a103_type,type,
a103: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a159_type,type,
a159: $i ).
thf(a98_type,type,
a98: $i ).
thf(a104_type,type,
a104: $i ).
thf(a112_type,type,
a112: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a115_type,type,
a115: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a101_type,type,
a101: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a153_type,type,
a153: $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(c0_1_type,type,
c0_1: $i > $o ).
thf(a95_type,type,
a95: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ ( c1_1 @ a96 )
& ~ ( c2_1 @ a96 )
& ~ ( c3_1 @ a96 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a97 )
& ( c3_1 @ a97 )
& ~ ( c1_1 @ a97 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a98 )
& ~ ( c0_1 @ a98 )
& ~ ( c3_1 @ a98 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a99 )
& ~ ( c1_1 @ a99 )
& ~ ( c3_1 @ a99 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a100 )
& ~ ( c0_1 @ a100 )
& ~ ( c1_1 @ a100 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c3_1 @ a101 )
& ~ ( c1_1 @ a101 )
& ~ ( c2_1 @ a101 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a102 )
& ( c2_1 @ a102 )
& ~ ( c3_1 @ a102 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a103 )
& ~ ( c1_1 @ a103 )
& ~ ( c3_1 @ a103 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a104 )
& ~ ( c2_1 @ a104 )
& ~ ( c3_1 @ a104 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a105 )
& ( c2_1 @ a105 )
& ~ ( c1_1 @ a105 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a106 )
& ( c3_1 @ a106 )
& ~ ( c2_1 @ a106 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a109 )
& ~ ( c0_1 @ a109 )
& ~ ( c3_1 @ a109 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a110 )
& ( c3_1 @ a110 )
& ~ ( c0_1 @ a110 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a112 )
& ( c3_1 @ a112 )
& ~ ( c1_1 @ a112 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a115 )
& ~ ( c2_1 @ a115 )
& ~ ( c3_1 @ a115 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a116 )
& ( c3_1 @ a116 )
& ~ ( c0_1 @ a116 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a118 )
& ~ ( c2_1 @ a118 )
& ~ ( c3_1 @ a118 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a124 )
& ~ ( c1_1 @ a124 )
& ~ ( c3_1 @ a124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a125 )
& ( c1_1 @ a125 )
& ~ ( c3_1 @ a125 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a127 )
& ( c2_1 @ a127 )
& ~ ( c3_1 @ a127 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c0_1 @ a133 )
& ( c3_1 @ a133 )
& ~ ( c2_1 @ a133 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a145 )
& ~ ( c0_1 @ a145 )
& ~ ( c2_1 @ a145 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a149 )
& ~ ( c0_1 @ a149 )
& ~ ( c1_1 @ a149 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a152 )
& ( c1_1 @ a152 )
& ~ ( c2_1 @ a152 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a153 )
& ~ ( c0_1 @ a153 )
& ~ ( c2_1 @ a153 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a159 )
& ~ ( c1_1 @ a159 )
& ~ ( c2_1 @ a159 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a94 )
& ( c1_1 @ a94 )
& ( c2_1 @ a94 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a95 )
& ( c2_1 @ a95 )
& ( c3_1 @ a95 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a142 )
& ( c1_1 @ a142 )
& ( c3_1 @ a142 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c1_1 @ a165 )
& ( c2_1 @ a165 )
& ( c3_1 @ a165 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ~ ( c1_1 @ V )
| ~ ( c3_1 @ V ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c1_1 @ W )
| ( c3_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| hskp26
| hskp27 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c2_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c1_1 @ Z ) ) )
| hskp0 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp1 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| hskp2
| hskp3 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) )
| hskp4
| hskp5 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c2_1 @ X5 )
| ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c2_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) )
| hskp6 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp7 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ~ ( c2_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c1_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp8 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) )
| hskp9 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c2_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c3_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ~ ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) ) )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ) )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ( c3_1 @ X26 )
| ~ ( c2_1 @ X26 ) ) )
| hskp10 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ~ ( c1_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X29 )
| ~ ( c1_1 @ X29 )
| ~ ( c2_1 @ X29 ) ) ) )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp1 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp26
| hskp11 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c1_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) )
| hskp12 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| hskp3 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ( c3_1 @ X37 ) ) )
| hskp13
| hskp3 )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ( c3_1 @ X38 ) ) )
| hskp1 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c2_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) ) )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| hskp14 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp15 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c2_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ) )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c0_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ) )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) )
| hskp10 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ~ ( c0_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| hskp16 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| hskp14
| hskp10 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ~ ( c0_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| hskp16
| hskp8 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp26
| hskp17 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp18
| hskp14 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp19
| hskp5 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp13 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp6
| hskp4 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ( c0_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| hskp8 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c2_1 @ X64 )
| ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 ) ) )
| hskp20
| hskp10 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp12
| hskp5 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c2_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp1
| hskp17 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| hskp5 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c1_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| ! [X71: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X71 )
| ~ ( c1_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) ) )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| hskp6
| hskp3 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| hskp28
| hskp18 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c3_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp12
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp26
| hskp1 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp9
| hskp22 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp12
| hskp8 )
& ( hskp23
| hskp24
| hskp16 )
& ( hskp18
| hskp19
| hskp13 )
& ( hskp18
| hskp25
| hskp17 )
& ( hskp9
| hskp14
| hskp2 )
& ( hskp20
| hskp29
| hskp0 )
& ( hskp20
| hskp3
| hskp8 )
& ( hskp14
| hskp16
| hskp21 )
& ( hskp14
| hskp12
| hskp11 )
& ( hskp14
| hskp1
| hskp3 )
& ( hskp29
| hskp24
| hskp11 )
& ( hskp6
| hskp22
| hskp17 )
& ( hskp15
| hskp22
| hskp17 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ~ ( c1_1 @ a96 )
& ~ ( c2_1 @ a96 )
& ~ ( c3_1 @ a96 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a97 )
& ( c3_1 @ a97 )
& ~ ( c1_1 @ a97 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a98 )
& ~ ( c0_1 @ a98 )
& ~ ( c3_1 @ a98 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a99 )
& ~ ( c1_1 @ a99 )
& ~ ( c3_1 @ a99 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a100 )
& ~ ( c0_1 @ a100 )
& ~ ( c1_1 @ a100 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c3_1 @ a101 )
& ~ ( c1_1 @ a101 )
& ~ ( c2_1 @ a101 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a102 )
& ( c2_1 @ a102 )
& ~ ( c3_1 @ a102 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a103 )
& ~ ( c1_1 @ a103 )
& ~ ( c3_1 @ a103 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c0_1 @ a104 )
& ~ ( c2_1 @ a104 )
& ~ ( c3_1 @ a104 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a105 )
& ( c2_1 @ a105 )
& ~ ( c1_1 @ a105 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a106 )
& ( c3_1 @ a106 )
& ~ ( c2_1 @ a106 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a109 )
& ~ ( c0_1 @ a109 )
& ~ ( c3_1 @ a109 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a110 )
& ( c3_1 @ a110 )
& ~ ( c0_1 @ a110 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a112 )
& ( c3_1 @ a112 )
& ~ ( c1_1 @ a112 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a115 )
& ~ ( c2_1 @ a115 )
& ~ ( c3_1 @ a115 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a116 )
& ( c3_1 @ a116 )
& ~ ( c0_1 @ a116 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a118 )
& ~ ( c2_1 @ a118 )
& ~ ( c3_1 @ a118 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a124 )
& ~ ( c1_1 @ a124 )
& ~ ( c3_1 @ a124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a125 )
& ( c1_1 @ a125 )
& ~ ( c3_1 @ a125 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a127 )
& ( c2_1 @ a127 )
& ~ ( c3_1 @ a127 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c0_1 @ a133 )
& ( c3_1 @ a133 )
& ~ ( c2_1 @ a133 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a145 )
& ~ ( c0_1 @ a145 )
& ~ ( c2_1 @ a145 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a149 )
& ~ ( c0_1 @ a149 )
& ~ ( c1_1 @ a149 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a152 )
& ( c1_1 @ a152 )
& ~ ( c2_1 @ a152 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a153 )
& ~ ( c0_1 @ a153 )
& ~ ( c2_1 @ a153 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a159 )
& ~ ( c1_1 @ a159 )
& ~ ( c2_1 @ a159 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a94 )
& ( c1_1 @ a94 )
& ( c2_1 @ a94 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a95 )
& ( c2_1 @ a95 )
& ( c3_1 @ a95 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a142 )
& ( c1_1 @ a142 )
& ( c3_1 @ a142 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c1_1 @ a165 )
& ( c2_1 @ a165 )
& ( c3_1 @ a165 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ~ ( c1_1 @ V )
| ~ ( c3_1 @ V ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c1_1 @ W )
| ( c3_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| hskp26
| hskp27 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c2_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c1_1 @ Z ) ) )
| hskp0 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp1 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| hskp2
| hskp3 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) )
| hskp4
| hskp5 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c2_1 @ X5 )
| ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c2_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) )
| hskp6 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp7 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ~ ( c2_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c1_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp8 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) )
| hskp9 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c2_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c3_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c3_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ~ ( c1_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) ) )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ( c1_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c2_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ) )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ( c3_1 @ X26 )
| ~ ( c2_1 @ X26 ) ) )
| hskp10 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ~ ( c1_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X29 )
| ~ ( c1_1 @ X29 )
| ~ ( c2_1 @ X29 ) ) ) )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp1 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp26
| hskp11 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c1_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) )
| hskp12 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| hskp3 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ( c3_1 @ X37 ) ) )
| hskp13
| hskp3 )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ( c3_1 @ X38 ) ) )
| hskp1 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c2_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) ) )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ( c1_1 @ X43 )
| ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| hskp14 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp15 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c2_1 @ X46 )
| ~ ( c3_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ) )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c0_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ) )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c1_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) )
| hskp10 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ~ ( c0_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| hskp16 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c1_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| hskp14
| hskp10 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ~ ( c0_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| hskp16
| hskp8 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp26
| hskp17 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp18
| hskp14 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp19
| hskp5 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ~ ( c2_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp13 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp6
| hskp4 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ( c0_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| hskp8 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c2_1 @ X64 )
| ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 ) ) )
| hskp20
| hskp10 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp12
| hskp5 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c2_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| hskp1
| hskp17 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| ! [X68: $i] :
( ndr1_0
=> ( ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| hskp5 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c1_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| ! [X71: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X71 )
| ~ ( c1_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) ) )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c1_1 @ X72 ) ) )
| hskp6
| hskp3 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 ) ) )
| hskp28
| hskp18 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c3_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp12
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| hskp26
| hskp1 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) )
| hskp9
| hskp22 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X77 )
| ~ ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp12
| hskp8 )
& ( hskp23
| hskp24
| hskp16 )
& ( hskp18
| hskp19
| hskp13 )
& ( hskp18
| hskp25
| hskp17 )
& ( hskp9
| hskp14
| hskp2 )
& ( hskp20
| hskp29
| hskp0 )
& ( hskp20
| hskp3
| hskp8 )
& ( hskp14
| hskp16
| hskp21 )
& ( hskp14
| hskp12
| hskp11 )
& ( hskp14
| hskp1
| hskp3 )
& ( hskp29
| hskp24
| hskp11 )
& ( hskp6
| hskp22
| hskp17 )
& ( hskp15
| hskp22
| hskp17 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl105,plain,
( ~ hskp18
| ( c0_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl495,plain,
( ( c0_1 @ a125 )
<= ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl44,plain,
! [X48: $i,X49: $i,X50: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ndr1_0
| ( c2_1 @ X49 )
| ~ ( c0_1 @ X49 )
| ~ ( c3_1 @ X49 )
| ~ ndr1_0
| ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
<= ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl854,plain,
( ( ~ ( c1_1 @ a125 )
| ~ ( c2_1 @ a125 ) )
<= ( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
& ( c0_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl341]) ).
thf('0',plain,
( ~ ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
| ~ ( c2_1 @ a125 )
| ~ ( c1_1 @ a125 )
| ~ ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl854]) ).
thf(zip_derived_cl50,plain,
! [X64: $i,X65: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 )
| ~ ndr1_0
| ~ ( c0_1 @ X65 )
| ~ ( c1_1 @ X65 )
| ~ ( c3_1 @ X65 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl366,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl18,plain,
! [X6: $i,X7: $i,X8: $i] :
( ( c2_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ndr1_0
| ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 )
| ~ ndr1_0
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl240,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1475,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl240]) ).
thf(zip_derived_cl1506,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1475]) ).
thf(zip_derived_cl137,plain,
( ~ hskp10
| ( c1_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl559,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl3827,plain,
( ( ~ ( c3_1 @ a106 )
| ( c2_1 @ a106 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1506,zip_derived_cl559]) ).
thf('1',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a106 )
| ~ ( c1_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl3827]) ).
thf(zip_derived_cl74,plain,
( ~ hskp26
| ( c1_1 @ a94 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl433,plain,
( ( c1_1 @ a94 )
<= ( c1_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl15,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp12
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl228,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_cl15]) ).
thf(zip_derived_cl793,plain,
( ( ( c3_1 @ a94 )
| ~ ( c2_1 @ a94 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c1_1 @ a94 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl228]) ).
thf('2',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ( c3_1 @ a94 )
| ~ ( c1_1 @ a94 )
| ~ ( c2_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl793]) ).
thf(zip_derived_cl73,plain,
( ~ hskp26
| ( c0_1 @ a94 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl431,plain,
( ( c0_1 @ a94 )
<= ( c0_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl240_001,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl789,plain,
( ( ~ ( c1_1 @ a94 )
| ~ ( c3_1 @ a94 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c0_1 @ a94 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl240]) ).
thf('3',plain,
( ~ ( c3_1 @ a94 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c0_1 @ a94 )
| ~ ( c1_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl789]) ).
thf(zip_derived_cl48,plain,
! [X59: $i,X60: $i,X61: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ndr1_0
| ( c2_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ( c3_1 @ X60 )
| ~ ndr1_0
| ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl359,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl134,plain,
( ~ hskp11
| ~ ( c0_1 @ a109 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl553,plain,
( ~ ( c0_1 @ a109 )
<= ~ ( c0_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1450,plain,
( ( ~ ( c1_1 @ a109 )
| ( c3_1 @ a109 ) )
<= ( ~ ( c0_1 @ a109 )
& ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl553]) ).
thf('4',plain,
( ~ ( c1_1 @ a109 )
| ( c0_1 @ a109 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
| ( c3_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1450]) ).
thf(zip_derived_cl22,plain,
! [X13: $i] :
( ( c2_1 @ X13 )
| ( c3_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ndr1_0
| hskp20
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( hskp10
| hskp20
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl51,plain,
! [X66: $i,X67: $i,X68: $i] :
( ( c0_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c3_1 @ X66 )
| ~ ndr1_0
| ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 )
| ~ ndr1_0
| ( c1_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl240_002,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1247,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl240]) ).
thf(zip_derived_cl1276,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1247]) ).
thf(zip_derived_cl61,plain,
( ~ hskp29
| ( c1_1 @ a165 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl407,plain,
( ( c1_1 @ a165 )
<= ( c1_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2378,plain,
( ( ~ ( c3_1 @ a165 )
| ~ ( c2_1 @ a165 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
& ( c1_1 @ a165 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1276,zip_derived_cl407]) ).
thf('6',plain,
( ~ ( c1_1 @ a165 )
| ~ ( c3_1 @ a165 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ( c2_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl2378]) ).
thf(zip_derived_cl52,plain,
! [X69: $i,X70: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ndr1_0
| ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl374,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl240_003,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1535,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl240]) ).
thf(zip_derived_cl1565,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1535]) ).
thf(zip_derived_cl559_004,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl3874,plain,
( ( ( c2_1 @ a106 )
| ~ ( c3_1 @ a106 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl559]) ).
thf('7',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a106 )
| ~ ( c1_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl3874]) ).
thf(zip_derived_cl45,plain,
! [X51: $i,X52: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ndr1_0
| ( c1_1 @ X52 )
| ( c3_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl346,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl341_005,plain,
( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
<= ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl1352,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl341]) ).
thf(zip_derived_cl1378,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1352]) ).
thf(zip_derived_cl153,plain,
( ~ hskp6
| ( c1_1 @ a102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl591,plain,
( ( c1_1 @ a102 )
<= ( c1_1 @ a102 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl3683,plain,
( ( ~ ( c2_1 @ a102 )
| ( c3_1 @ a102 ) )
<= ( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
& ( c1_1 @ a102 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1378,zip_derived_cl591]) ).
thf('8',plain,
( ~ ( c2_1 @ a102 )
| ~ ( c1_1 @ a102 )
| ~ ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ( c3_1 @ a102 ) ),
inference(split,[status(esa)],[zip_derived_cl3683]) ).
thf(zip_derived_cl36,plain,
! [X34: $i,X35: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 )
| ~ ndr1_0
| ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 )
| ~ ndr1_0
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ~ ndr1_0
| hskp14 ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl58,plain,
! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 )
| ~ ndr1_0
| hskp26
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl397,plain,
( ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) )
<= ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl35,plain,
! [X32: $i,X33: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 )
| ~ ndr1_0
| ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
<= ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1795,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
& ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl306]) ).
thf(zip_derived_cl1823,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c1_1 @ X0 )
| ( c2_1 @ X0 ) )
<= ( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
& ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1795]) ).
thf(zip_derived_cl158,plain,
( ~ hskp5
| ~ ( c1_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl601,plain,
( ~ ( c1_1 @ a101 )
<= ~ ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl6995,plain,
( ( ( c2_1 @ a101 )
| ~ ( c3_1 @ a101 ) )
<= ( ~ ( c1_1 @ a101 )
& ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
& ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1823,zip_derived_cl601]) ).
thf('10',plain,
( ~ ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) )
| ~ ( c3_1 @ a101 )
| ( c1_1 @ a101 )
| ~ ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
| ( c2_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl6995]) ).
thf(zip_derived_cl106,plain,
( ~ hskp18
| ( c1_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl497,plain,
( ( c1_1 @ a125 )
<= ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl228_006,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_cl15]) ).
thf(zip_derived_cl856,plain,
( ( ( c3_1 @ a125 )
| ~ ( c2_1 @ a125 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c1_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl228]) ).
thf('11',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a125 )
| ( c3_1 @ a125 )
| ~ ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl856]) ).
thf(zip_derived_cl59,plain,
! [X80: $i,X81: $i,X82: $i] :
( ( c0_1 @ X80 )
| ( c1_1 @ X80 )
| ( c2_1 @ X80 )
| ~ ndr1_0
| ( c0_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c3_1 @ X81 )
| ~ ndr1_0
| ( c1_1 @ X82 )
| ( c3_1 @ X82 )
| ~ ( c2_1 @ X82 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ! [X79: $i] :
( ( c0_1 @ X79 )
| ( c1_1 @ X79 )
| ( c2_1 @ X79 ) )
| ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl366_007,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl17,plain,
! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ndr1_0
| hskp6
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl236,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1474,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c2_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl236]) ).
thf(zip_derived_cl1505,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1474]) ).
thf(zip_derived_cl559_008,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl3778,plain,
( ( ~ ( c3_1 @ a106 )
| ( c2_1 @ a106 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl559]) ).
thf('13',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ( c3_1 @ a106 )
| ~ ( c1_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl3778]) ).
thf(zip_derived_cl495_009,plain,
( ( c0_1 @ a125 )
<= ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl236_010,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl851,plain,
( ( ( c2_1 @ a125 )
| ~ ( c1_1 @ a125 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ( c0_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl236]) ).
thf('14',plain,
( ( c2_1 @ a125 )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ( c1_1 @ a125 )
| ~ ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl851]) ).
thf(zip_derived_cl374_011,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl236_012,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1534,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl236]) ).
thf(zip_derived_cl1564,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1534]) ).
thf(zip_derived_cl559_013,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl2476,plain,
( ( c2_1 @ a106 )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1564,zip_derived_cl559]) ).
thf(zip_derived_cl139,plain,
( ~ hskp10
| ~ ( c2_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl563,plain,
( ~ ( c2_1 @ a106 )
<= ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf('15',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ( c1_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2476,zip_derived_cl563]) ).
thf(zip_derived_cl57,plain,
! [X77: $i,X78: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 )
| ~ ndr1_0
| ( c2_1 @ X78 )
| ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
( ! [X77: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 ) )
<= ! [X77: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl145,plain,
( ~ hskp8
| ~ ( c0_1 @ a104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl575,plain,
( ~ ( c0_1 @ a104 )
<= ~ ( c0_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl1760,plain,
( ( ( c3_1 @ a104 )
| ( c1_1 @ a104 ) )
<= ( ~ ( c0_1 @ a104 )
& ! [X77: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl575]) ).
thf('16',plain,
( ( c1_1 @ a104 )
| ~ ! [X77: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 ) )
| ( c0_1 @ a104 )
| ( c3_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl1760]) ).
thf('17',plain,
( ! [X77: $i] :
( ( c0_1 @ X77 )
| ( c1_1 @ X77 )
| ( c3_1 @ X77 ) )
| hskp0
| ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl23,plain,
! [X14: $i,X15: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ndr1_0
| ~ ( c0_1 @ X15 )
| ~ ( c2_1 @ X15 )
| ~ ( c3_1 @ X15 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( hskp8
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl370_014,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 )
| ~ ndr1_0
| hskp26
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1245,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl224]) ).
thf(zip_derived_cl1275,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1245]) ).
thf(zip_derived_cl173,plain,
( ~ hskp1
| ( c2_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl631,plain,
( ( c2_1 @ a97 )
<= ( c2_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl1920,plain,
( ~ ( c3_1 @ a97 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
& ( c2_1 @ a97 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1275,zip_derived_cl631]) ).
thf(zip_derived_cl174,plain,
( ~ hskp1
| ( c3_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl633,plain,
( ( c3_1 @ a97 )
<= ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf('19',plain,
( ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ( c3_1 @ a97 )
| ~ ( c2_1 @ a97 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1920,zip_derived_cl633]) ).
thf(zip_derived_cl81,plain,
( ~ hskp24
| ( c1_1 @ a153 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( ( c1_1 @ a153 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ~ hskp24
| ~ ( c0_1 @ a153 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ~ ( c0_1 @ a153 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp24
| ~ ( c2_1 @ a153 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( ~ ( c2_1 @ a153 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl374_015,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl449,plain,
( ~ ( c0_1 @ a153 )
<= ~ ( c0_1 @ a153 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1553,plain,
( ( ~ ( c1_1 @ a153 )
| ( c2_1 @ a153 ) )
<= ( ~ ( c0_1 @ a153 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl449]) ).
thf('23',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
| ( c0_1 @ a153 )
| ( c2_1 @ a153 )
| ~ ( c1_1 @ a153 ) ),
inference(split,[status(esa)],[zip_derived_cl1553]) ).
thf(zip_derived_cl2,plain,
( hskp29
| hskp24
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( hskp24
| hskp29
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl42,plain,
! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 )
| ~ ndr1_0
| hskp26
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl333,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_cl42]) ).
thf(zip_derived_cl240_016,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1153,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl240]) ).
thf(zip_derived_cl1185,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1153]) ).
thf(zip_derived_cl407_017,plain,
( ( c1_1 @ a165 )
<= ( c1_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl2334,plain,
( ( ~ ( c2_1 @ a165 )
| ~ ( c3_1 @ a165 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
& ( c1_1 @ a165 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1185,zip_derived_cl407]) ).
thf('25',plain,
( ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c1_1 @ a165 )
| ~ ( c3_1 @ a165 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c2_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl2334]) ).
thf(zip_derived_cl370_018,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl119,plain,
( ~ hskp15
| ~ ( c0_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl523,plain,
( ~ ( c0_1 @ a116 )
<= ~ ( c0_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl1260,plain,
( ( ~ ( c3_1 @ a116 )
| ~ ( c2_1 @ a116 ) )
<= ( ~ ( c0_1 @ a116 )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl523]) ).
thf('26',plain,
( ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ( c2_1 @ a116 )
| ( c0_1 @ a116 )
| ~ ( c3_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl1260]) ).
thf(zip_derived_cl34,plain,
! [X29: $i,X30: $i,X31: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0
| ( c2_1 @ X30 )
| ~ ( c0_1 @ X30 )
| ~ ( c1_1 @ X30 )
| ~ ndr1_0
| ~ ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c3_1 @ X31 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl304,plain,
( ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
<= ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl601_019,plain,
( ~ ( c1_1 @ a101 )
<= ~ ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl1208,plain,
( ( ~ ( c3_1 @ a101 )
| ( c2_1 @ a101 ) )
<= ( ~ ( c1_1 @ a101 )
& ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl601]) ).
thf('27',plain,
( ~ ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ~ ( c3_1 @ a101 )
| ( c1_1 @ a101 )
| ( c2_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1208]) ).
thf(zip_derived_cl157,plain,
( ~ hskp5
| ( c3_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('28',plain,
( ( c3_1 @ a101 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf('29',plain,
( ~ ( c1_1 @ a101 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp5
| ~ ( c2_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('30',plain,
( ~ ( c2_1 @ a101 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl19,plain,
! [X9: $i,X10: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ndr1_0
| ( c3_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 )
| ~ ndr1_0
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('31',plain,
( hskp5
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf('32',plain,
( ( c1_1 @ a102 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp6
| ( c2_1 @ a102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( ( c2_1 @ a102 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp6
| ~ ( c3_1 @ a102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('34',plain,
( ~ ( c3_1 @ a102 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl591_020,plain,
( ( c1_1 @ a102 )
<= ( c1_1 @ a102 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl228_021,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_cl15]) ).
thf(zip_derived_cl940,plain,
( ( ( c3_1 @ a102 )
| ~ ( c2_1 @ a102 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c1_1 @ a102 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl228]) ).
thf('35',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a102 )
| ( c3_1 @ a102 )
| ~ ( c1_1 @ a102 ) ),
inference(split,[status(esa)],[zip_derived_cl940]) ).
thf('36',plain,
( hskp6
| ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ndr1_0
| hskp3 ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl41,plain,
! [X43: $i,X44: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 )
| ~ ndr1_0
| ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ndr1_0
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl330,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl553_022,plain,
( ~ ( c0_1 @ a109 )
<= ~ ( c0_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1125,plain,
( ( ~ ( c3_1 @ a109 )
| ~ ( c1_1 @ a109 ) )
<= ( ~ ( c0_1 @ a109 )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl553]) ).
thf(zip_derived_cl1623,plain,
( ~ ( c1_1 @ a109 )
<= ~ ( c1_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1125]) ).
thf(zip_derived_cl32,plain,
! [X25: $i,X26: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ndr1_0
| ( c3_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl296,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl1626,plain,
( ( ( c3_1 @ a109 )
| ~ ( c2_1 @ a109 ) )
<= ( ~ ( c1_1 @ a109 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1623,zip_derived_cl296]) ).
thf('37',plain,
( ( c1_1 @ a109 )
| ( c3_1 @ a109 )
| ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ( c2_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1626]) ).
thf(zip_derived_cl40,plain,
! [X41: $i,X42: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ndr1_0
| ~ ( c0_1 @ X42 )
| ~ ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('38',plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0
| hskp3 ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl46,plain,
! [X53: $i,X54: $i,X55: $i] :
( ( c0_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ndr1_0
| ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ndr1_0
| ( c2_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('39',plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ~ ndr1_0
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl113,plain,
( ~ hskp16
| ( c1_1 @ a118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( ( c1_1 @ a118 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl114,plain,
( ~ hskp16
| ~ ( c2_1 @ a118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( ~ ( c2_1 @ a118 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl125,plain,
( ~ hskp13
| ( c0_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ( c0_1 @ a112 )
<= ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl29,plain,
! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 )
| ~ ndr1_0
| hskp16
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl283,plain,
( ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) )
<= ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl897,plain,
( ( ( c1_1 @ a112 )
| ~ ( c3_1 @ a112 ) )
<= ( ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) )
& ( c0_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl283]) ).
thf('42',plain,
( ~ ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) )
| ( c1_1 @ a112 )
| ~ ( c0_1 @ a112 )
| ~ ( c3_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl897]) ).
thf(zip_derived_cl31,plain,
! [X23: $i,X24: $i] :
( ( c1_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('43',plain,
( hskp16
| ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) )
| ~ ndr1_0
| ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl115,plain,
( ~ hskp16
| ~ ( c3_1 @ a118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('44',plain,
( ~ ( c3_1 @ a118 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl511,plain,
( ( c1_1 @ a118 )
<= ( c1_1 @ a118 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl245,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl862,plain,
( ( ( c2_1 @ a118 )
| ( c3_1 @ a118 ) )
<= ( ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
& ( c1_1 @ a118 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl245]) ).
thf('45',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ( c3_1 @ X9 )
| ~ ( c1_1 @ X9 ) )
| ( c3_1 @ a118 )
| ( c2_1 @ a118 )
| ~ ( c1_1 @ a118 ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf(zip_derived_cl346_023,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl33,plain,
! [X27: $i,X28: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 )
| ~ ndr1_0
| ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl300,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1348,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ( c3_1 @ X0 )
| ( c1_1 @ X0 )
| ( c3_1 @ X0 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl300]) ).
thf(zip_derived_cl1376,plain,
( ! [X0: $i] :
( ( c1_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1348]) ).
thf(zip_derived_cl166,plain,
( ~ hskp3
| ~ ( c1_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl617,plain,
( ~ ( c1_1 @ a99 )
<= ~ ( c1_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl4847,plain,
( ( ~ ( c2_1 @ a99 )
| ( c3_1 @ a99 ) )
<= ( ~ ( c1_1 @ a99 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1376,zip_derived_cl617]) ).
thf('46',plain,
( ~ ( c2_1 @ a99 )
| ( c1_1 @ a99 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ( c3_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl4847]) ).
thf(zip_derived_cl535_024,plain,
( ( c0_1 @ a112 )
<= ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl224_025,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl882,plain,
( ( ~ ( c2_1 @ a112 )
| ~ ( c3_1 @ a112 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c0_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl224]) ).
thf('47',plain,
( ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c2_1 @ a112 )
| ~ ( c3_1 @ a112 )
| ~ ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl882]) ).
thf('48',plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ndr1_0
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf('49',plain,
( hskp12
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl38,plain,
! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl318,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl121,plain,
( ~ hskp14
| ( c0_1 @ a115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl527,plain,
( ( c0_1 @ a115 )
<= ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl240_026,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl879,plain,
( ( ~ ( c1_1 @ a115 )
| ~ ( c3_1 @ a115 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c0_1 @ a115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl240]) ).
thf(zip_derived_cl1283,plain,
( ~ ( c1_1 @ a115 )
<= ~ ( c1_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl879]) ).
thf(zip_derived_cl1401,plain,
( ( ( c3_1 @ a115 )
| ( c2_1 @ a115 ) )
<= ( ~ ( c1_1 @ a115 )
& ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl1283]) ).
thf('50',plain,
( ~ ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ( c1_1 @ a115 )
| ( c2_1 @ a115 )
| ( c3_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl1401]) ).
thf(zip_derived_cl141,plain,
( ~ hskp9
| ( c0_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl567,plain,
( ( c0_1 @ a105 )
<= ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl299,plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
<= ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl998,plain,
( ( ( c1_1 @ a105 )
| ~ ( c2_1 @ a105 ) )
<= ( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
& ( c0_1 @ a105 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl299]) ).
thf('51',plain,
( ~ ( c0_1 @ a105 )
| ( c1_1 @ a105 )
| ~ ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
| ~ ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl998]) ).
thf('52',plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
| ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl359_027,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl170,plain,
( ~ hskp2
| ~ ( c0_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl625,plain,
( ~ ( c0_1 @ a98 )
<= ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1447,plain,
( ( ~ ( c1_1 @ a98 )
| ( c3_1 @ a98 ) )
<= ( ~ ( c0_1 @ a98 )
& ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl625]) ).
thf('53',plain,
( ( c0_1 @ a98 )
| ( c3_1 @ a98 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
| ~ ( c1_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1447]) ).
thf(zip_derived_cl97,plain,
( ~ hskp20
| ( c0_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl479,plain,
( ( c0_1 @ a133 )
<= ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl307,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_cl35]) ).
thf(zip_derived_cl1306,plain,
( ( ( c1_1 @ a133 )
| ( c2_1 @ a133 ) )
<= ( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
& ( c0_1 @ a133 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl307]) ).
thf('54',plain,
( ~ ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ( c1_1 @ a133 )
| ( c2_1 @ a133 )
| ~ ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl1306]) ).
thf(zip_derived_cl479_028,plain,
( ( c0_1 @ a133 )
<= ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl240_029,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl832,plain,
( ( ~ ( c1_1 @ a133 )
| ~ ( c3_1 @ a133 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c0_1 @ a133 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl240]) ).
thf('55',plain,
( ~ ( c1_1 @ a133 )
| ~ ( c3_1 @ a133 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl832]) ).
thf(zip_derived_cl296_030,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl110,plain,
( ~ hskp17
| ~ ( c1_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl505,plain,
( ~ ( c1_1 @ a124 )
<= ~ ( c1_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl1047,plain,
( ( ~ ( c2_1 @ a124 )
| ( c3_1 @ a124 ) )
<= ( ~ ( c1_1 @ a124 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl505]) ).
thf('56',plain,
( ~ ( c2_1 @ a124 )
| ( c1_1 @ a124 )
| ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1047]) ).
thf(zip_derived_cl479_031,plain,
( ( c0_1 @ a133 )
<= ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl306_032,plain,
( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
<= ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1015,plain,
( ( ( c2_1 @ a133 )
| ~ ( c3_1 @ a133 ) )
<= ( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
& ( c0_1 @ a133 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl479,zip_derived_cl306]) ).
thf('57',plain,
( ~ ( c3_1 @ a133 )
| ( c2_1 @ a133 )
| ~ ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
| ~ ( c0_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl1015]) ).
thf('58',plain,
( ( c0_1 @ a133 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp20
| ( c3_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( ( c3_1 @ a133 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp20
| ~ ( c2_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ~ ( c2_1 @ a133 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf('61',plain,
( hskp8
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
| ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl43,plain,
! [X46: $i,X47: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ndr1_0
| ~ ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( hskp1
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl1275_033,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1245]) ).
thf(zip_derived_cl62,plain,
( ~ hskp29
| ( c2_1 @ a165 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl409,plain,
( ( c2_1 @ a165 )
<= ( c2_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl1931,plain,
( ~ ( c3_1 @ a165 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
& ( c2_1 @ a165 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1275,zip_derived_cl409]) ).
thf(zip_derived_cl63,plain,
( ~ hskp29
| ( c3_1 @ a165 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl411,plain,
( ( c3_1 @ a165 )
<= ( c3_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf('63',plain,
( ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c2_1 @ a165 )
| ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ( c3_1 @ a165 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1931,zip_derived_cl411]) ).
thf(zip_derived_cl333_034,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_cl42]) ).
thf(zip_derived_cl553_035,plain,
( ~ ( c0_1 @ a109 )
<= ~ ( c0_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1164,plain,
( ( ~ ( c2_1 @ a109 )
| ~ ( c1_1 @ a109 ) )
<= ( ~ ( c0_1 @ a109 )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl553]) ).
thf('64',plain,
( ~ ( c1_1 @ a109 )
| ( c0_1 @ a109 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c2_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1164]) ).
thf(zip_derived_cl333_036,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_cl42]) ).
thf(zip_derived_cl625_037,plain,
( ~ ( c0_1 @ a98 )
<= ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1161,plain,
( ( ~ ( c2_1 @ a98 )
| ~ ( c1_1 @ a98 ) )
<= ( ~ ( c0_1 @ a98 )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl625]) ).
thf('65',plain,
( ~ ( c2_1 @ a98 )
| ( c0_1 @ a98 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c1_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1161]) ).
thf(zip_derived_cl56,plain,
! [X75: $i,X76: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 )
| ~ ndr1_0
| ~ ( c0_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( hskp1
| ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl374_038,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl625_039,plain,
( ~ ( c0_1 @ a98 )
<= ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1544,plain,
( ( ~ ( c1_1 @ a98 )
| ( c2_1 @ a98 ) )
<= ( ~ ( c0_1 @ a98 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl625]) ).
thf('67',plain,
( ( c2_1 @ a98 )
| ( c0_1 @ a98 )
| ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
| ~ ( c1_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1544]) ).
thf(zip_derived_cl346_040,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl625_041,plain,
( ~ ( c0_1 @ a98 )
<= ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1353,plain,
( ( ~ ( c2_1 @ a98 )
| ( c3_1 @ a98 ) )
<= ( ~ ( c0_1 @ a98 )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl625]) ).
thf('68',plain,
( ~ ( c2_1 @ a98 )
| ( c0_1 @ a98 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ( c3_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1353]) ).
thf('69',plain,
( ( c1_1 @ a106 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl138,plain,
( ~ hskp10
| ( c3_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('70',plain,
( ( c3_1 @ a106 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf('71',plain,
( hskp10
| ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf('72',plain,
( ( c0_1 @ a94 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('73',plain,
( ( c1_1 @ a94 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl75,plain,
( ~ hskp26
| ( c2_1 @ a94 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ( c2_1 @ a94 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf('75',plain,
( hskp26
| hskp11
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('76',plain,
( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
| ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
| ~ ndr1_0
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl117,plain,
( ~ hskp15
| ( c1_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl519,plain,
( ( c1_1 @ a116 )
<= ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl241,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl865,plain,
( ( ( c2_1 @ a116 )
| ~ ( c3_1 @ a116 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ( c1_1 @ a116 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl241]) ).
thf('77',plain,
( ( c2_1 @ a116 )
| ~ ( c1_1 @ a116 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c3_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl865]) ).
thf(zip_derived_cl330_042,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl523_043,plain,
( ~ ( c0_1 @ a116 )
<= ~ ( c0_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl1127,plain,
( ( ~ ( c3_1 @ a116 )
| ~ ( c1_1 @ a116 ) )
<= ( ~ ( c0_1 @ a116 )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl523]) ).
thf('78',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ( c3_1 @ a116 )
| ( c0_1 @ a116 )
| ~ ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl1127]) ).
thf('79',plain,
( ( c1_1 @ a116 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl118,plain,
( ~ hskp15
| ( c3_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('80',plain,
( ( c3_1 @ a116 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf('81',plain,
( ~ ( c0_1 @ a116 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl37,plain,
! [X36: $i,X37: $i,X38: $i] :
( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ~ ( c0_1 @ X36 )
| ~ ndr1_0
| ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ~ ( c3_1 @ X37 )
| ~ ndr1_0
| ( c2_1 @ X38 )
| ~ ( c1_1 @ X38 )
| ~ ( c3_1 @ X38 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('82',plain,
( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('83',plain,
( hskp15
| ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ~ ndr1_0
| ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl535_044,plain,
( ( c0_1 @ a112 )
<= ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl307_045,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_cl35]) ).
thf(zip_derived_cl1302,plain,
( ( ( c1_1 @ a112 )
| ( c2_1 @ a112 ) )
<= ( ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
& ( c0_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl307]) ).
thf('84',plain,
( ~ ! [X32: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c0_1 @ X32 ) )
| ( c2_1 @ a112 )
| ( c1_1 @ a112 )
| ~ ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl1302]) ).
thf(zip_derived_cl304_046,plain,
( ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
<= ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl127,plain,
( ~ hskp13
| ~ ( c1_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl539,plain,
( ~ ( c1_1 @ a112 )
<= ~ ( c1_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1211,plain,
( ( ~ ( c3_1 @ a112 )
| ( c2_1 @ a112 ) )
<= ( ~ ( c1_1 @ a112 )
& ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl539]) ).
thf('85',plain,
( ~ ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ( c2_1 @ a112 )
| ( c1_1 @ a112 )
| ~ ( c3_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl1211]) ).
thf(zip_derived_cl535_047,plain,
( ( c0_1 @ a112 )
<= ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl306_048,plain,
( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
<= ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1011,plain,
( ( ( c2_1 @ a112 )
| ~ ( c3_1 @ a112 ) )
<= ( ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
& ( c0_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl306]) ).
thf('86',plain,
( ( c2_1 @ a112 )
| ~ ! [X33: $i] :
( ( c2_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c3_1 @ X33 ) )
| ~ ( c3_1 @ a112 )
| ~ ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl1011]) ).
thf(zip_derived_cl27,plain,
! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 )
| ~ ndr1_0
| hskp18
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('87',plain,
( hskp18
| hskp14
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl535_049,plain,
( ( c0_1 @ a112 )
<= ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl299_050,plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
<= ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl999,plain,
( ( ( c1_1 @ a112 )
| ~ ( c2_1 @ a112 ) )
<= ( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
& ( c0_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl299]) ).
thf('88',plain,
( ~ ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
| ~ ( c2_1 @ a112 )
| ( c1_1 @ a112 )
| ~ ( c0_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl999]) ).
thf(zip_derived_cl24,plain,
! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 )
| ~ ndr1_0
| hskp6
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl264,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl539_051,plain,
( ~ ( c1_1 @ a112 )
<= ~ ( c1_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl765,plain,
( ( ~ ( c3_1 @ a112 )
| ~ ( c2_1 @ a112 ) )
<= ( ~ ( c1_1 @ a112 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl539]) ).
thf('89',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c3_1 @ a112 )
| ( c1_1 @ a112 )
| ~ ( c2_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl765]) ).
thf(zip_derived_cl527_052,plain,
( ( c0_1 @ a115 )
<= ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl291,plain,
( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
<= ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl960,plain,
( ( ( c3_1 @ a115 )
| ~ ( c1_1 @ a115 ) )
<= ( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
& ( c0_1 @ a115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl291]) ).
thf('90',plain,
( ~ ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
| ~ ( c1_1 @ a115 )
| ~ ( c0_1 @ a115 )
| ( c3_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl960]) ).
thf('91',plain,
( ( c0_1 @ a112 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('92',plain,
( ~ ( c1_1 @ a112 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl10,plain,
( hskp18
| hskp19
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( hskp19
| hskp18
| hskp13 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl101,plain,
( ~ hskp19
| ( c0_1 @ a127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl487,plain,
( ( c0_1 @ a127 )
<= ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl300_053,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1103,plain,
( ( ( c1_1 @ a127 )
| ( c3_1 @ a127 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ( c0_1 @ a127 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl300]) ).
thf('94',plain,
( ( c1_1 @ a127 )
| ( c3_1 @ a127 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ~ ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl1103]) ).
thf(zip_derived_cl487_054,plain,
( ( c0_1 @ a127 )
<= ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl291_055,plain,
( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
<= ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl962,plain,
( ( ( c3_1 @ a127 )
| ~ ( c1_1 @ a127 ) )
<= ( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
& ( c0_1 @ a127 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl291]) ).
thf('95',plain,
( ~ ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
| ~ ( c1_1 @ a127 )
| ( c3_1 @ a127 )
| ~ ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl962]) ).
thf(zip_derived_cl102,plain,
( ~ hskp19
| ( c2_1 @ a127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('96',plain,
( ( c2_1 @ a127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl487_056,plain,
( ( c0_1 @ a127 )
<= ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl299_057,plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
<= ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1002,plain,
( ( ( c1_1 @ a127 )
| ~ ( c2_1 @ a127 ) )
<= ( ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
& ( c0_1 @ a127 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl299]) ).
thf('97',plain,
( ( c1_1 @ a127 )
| ~ ( c2_1 @ a127 )
| ~ ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
| ~ ( c0_1 @ a127 ) ),
inference(split,[status(esa)],[zip_derived_cl1002]) ).
thf('98',plain,
( ( c0_1 @ a127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl103,plain,
( ~ hskp19
| ~ ( c3_1 @ a127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( ~ ( c3_1 @ a127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf('100',plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ! [X28: $i] :
( ( c1_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c2_1 @ X28 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf('101',plain,
( ( c0_1 @ a125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf('102',plain,
( ( c1_1 @ a125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl107,plain,
( ~ hskp18
| ~ ( c3_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( ~ ( c3_1 @ a125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl495_058,plain,
( ( c0_1 @ a125 )
<= ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl291_059,plain,
( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
<= ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl961,plain,
( ( ( c3_1 @ a125 )
| ~ ( c1_1 @ a125 ) )
<= ( ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
& ( c0_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl291]) ).
thf('104',plain,
( ~ ! [X24: $i] :
( ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 ) )
| ~ ( c0_1 @ a125 )
| ( c3_1 @ a125 )
| ~ ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl961]) ).
thf(zip_derived_cl169,plain,
( ~ hskp2
| ( c1_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('105',plain,
( ( c1_1 @ a98 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf('106',plain,
( ~ ( c0_1 @ a98 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp2
| ~ ( c3_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('107',plain,
( ~ ( c3_1 @ a98 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl8,plain,
( hskp9
| hskp14
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( hskp2
| hskp9
| hskp14 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl3,plain,
( hskp14
| hskp1
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( hskp1
| hskp3
| hskp14 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('110',plain,
( ~ ( c0_1 @ a104 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl359_060,plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
<= ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl575_061,plain,
( ~ ( c0_1 @ a104 )
<= ~ ( c0_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl1449,plain,
( ( ~ ( c1_1 @ a104 )
| ( c3_1 @ a104 ) )
<= ( ~ ( c0_1 @ a104 )
& ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl575]) ).
thf('111',plain,
( ~ ( c1_1 @ a104 )
| ~ ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
| ( c0_1 @ a104 )
| ( c3_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl1449]) ).
thf(zip_derived_cl146,plain,
( ~ hskp8
| ~ ( c2_1 @ a104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ~ ( c2_1 @ a104 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl147,plain,
( ~ hskp8
| ~ ( c3_1 @ a104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( ~ ( c3_1 @ a104 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp12
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( hskp8
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| hskp12
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl333_062,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_cl42]) ).
thf(zip_derived_cl131,plain,
( ~ hskp12
| ~ ( c0_1 @ a110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl547,plain,
( ~ ( c0_1 @ a110 )
<= ~ ( c0_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1165,plain,
( ( ~ ( c2_1 @ a110 )
| ~ ( c1_1 @ a110 ) )
<= ( ~ ( c0_1 @ a110 )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl547]) ).
thf('115',plain,
( ~ ( c1_1 @ a110 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ( c0_1 @ a110 )
| ~ ( c2_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl1165]) ).
thf(zip_derived_cl330_063,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl547_064,plain,
( ~ ( c0_1 @ a110 )
<= ~ ( c0_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1126,plain,
( ( ~ ( c3_1 @ a110 )
| ~ ( c1_1 @ a110 ) )
<= ( ~ ( c0_1 @ a110 )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl547]) ).
thf(zip_derived_cl1633,plain,
( ~ ( c1_1 @ a110 )
<= ~ ( c1_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl1126]) ).
thf(zip_derived_cl264_065,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl1635,plain,
( ( ~ ( c2_1 @ a110 )
| ~ ( c3_1 @ a110 ) )
<= ( ~ ( c1_1 @ a110 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1633,zip_derived_cl264]) ).
thf('116',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ( c1_1 @ a110 )
| ~ ( c2_1 @ a110 )
| ~ ( c3_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl1635]) ).
thf(zip_derived_cl330_066,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl240_067,plain,
( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1114,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl240]) ).
thf(zip_derived_cl1146,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1114]) ).
thf(zip_derived_cl407_068,plain,
( ( c1_1 @ a165 )
<= ( c1_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl1861,plain,
( ~ ( c3_1 @ a165 )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c1_1 @ a165 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1146,zip_derived_cl407]) ).
thf(zip_derived_cl411_069,plain,
( ( c3_1 @ a165 )
<= ( c3_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf('117',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ( c1_1 @ a165 )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a165 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1861,zip_derived_cl411]) ).
thf(zip_derived_cl318_070,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl505_071,plain,
( ~ ( c1_1 @ a124 )
<= ~ ( c1_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl1402,plain,
( ( ( c3_1 @ a124 )
| ( c2_1 @ a124 ) )
<= ( ~ ( c1_1 @ a124 )
& ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl505]) ).
thf('118',plain,
( ( c2_1 @ a124 )
| ( c1_1 @ a124 )
| ~ ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1402]) ).
thf(zip_derived_cl109,plain,
( ~ hskp17
| ~ ( c0_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('119',plain,
( ~ ( c0_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf('120',plain,
( ~ ( c1_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp17
| ~ ( c3_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('121',plain,
( ~ ( c3_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl346_072,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl503,plain,
( ~ ( c0_1 @ a124 )
<= ~ ( c0_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl1359,plain,
( ( ~ ( c2_1 @ a124 )
| ( c3_1 @ a124 ) )
<= ( ~ ( c0_1 @ a124 )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl503]) ).
thf('122',plain,
( ( c0_1 @ a124 )
| ( c3_1 @ a124 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ~ ( c2_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1359]) ).
thf('123',plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl49,plain,
! [X62: $i,X63: $i] :
( ( c0_1 @ X62 )
| ( c3_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ndr1_0
| ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('124',plain,
( ! [X59: $i] :
( ( c0_1 @ X59 )
| ( c3_1 @ X59 )
| ~ ( c1_1 @ X59 ) )
| hskp9
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl20,plain,
! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ndr1_0
| hskp1
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( hskp1
| hskp17
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl527_073,plain,
( ( c0_1 @ a115 )
<= ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl300_074,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1101,plain,
( ( ( c1_1 @ a115 )
| ( c3_1 @ a115 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ( c0_1 @ a115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl300]) ).
thf('126',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ( c1_1 @ a115 )
| ( c3_1 @ a115 )
| ~ ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl1101]) ).
thf(zip_derived_cl527_075,plain,
( ( c0_1 @ a115 )
<= ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl236_076,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl878,plain,
( ( ( c2_1 @ a115 )
| ~ ( c1_1 @ a115 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ( c0_1 @ a115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl236]) ).
thf('127',plain,
( ~ ( c1_1 @ a115 )
| ( c2_1 @ a115 )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl878]) ).
thf(zip_derived_cl330_077,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl575_078,plain,
( ~ ( c0_1 @ a104 )
<= ~ ( c0_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl1124,plain,
( ( ~ ( c3_1 @ a104 )
| ~ ( c1_1 @ a104 ) )
<= ( ~ ( c0_1 @ a104 )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl575]) ).
thf(zip_derived_cl1613,plain,
( ~ ( c1_1 @ a104 )
<= ~ ( c1_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl1124]) ).
thf(zip_derived_cl318_079,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1618,plain,
( ( ( c2_1 @ a104 )
| ( c3_1 @ a104 ) )
<= ( ~ ( c1_1 @ a104 )
& ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1613,zip_derived_cl318]) ).
thf('128',plain,
( ( c1_1 @ a104 )
| ~ ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ( c2_1 @ a104 )
| ( c3_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl1618]) ).
thf(zip_derived_cl366_080,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl90,plain,
( ~ hskp22
| ~ ( c0_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl465,plain,
( ~ ( c0_1 @ a149 )
<= ~ ( c0_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl1492,plain,
( ( ~ ( c3_1 @ a149 )
| ( c2_1 @ a149 ) )
<= ( ~ ( c0_1 @ a149 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl465]) ).
thf('129',plain,
( ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) )
| ( c2_1 @ a149 )
| ~ ( c3_1 @ a149 )
| ( c0_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl1492]) ).
thf(zip_derived_cl304_081,plain,
( ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
<= ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl91,plain,
( ~ hskp22
| ~ ( c1_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl467,plain,
( ~ ( c1_1 @ a149 )
<= ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1216,plain,
( ( ~ ( c3_1 @ a149 )
| ( c2_1 @ a149 ) )
<= ( ~ ( c1_1 @ a149 )
& ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl467]) ).
thf('130',plain,
( ~ ( c3_1 @ a149 )
| ( c1_1 @ a149 )
| ~ ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ( c2_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl1216]) ).
thf(zip_derived_cl264_082,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl467_083,plain,
( ~ ( c1_1 @ a149 )
<= ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl767,plain,
( ( ~ ( c3_1 @ a149 )
| ~ ( c2_1 @ a149 ) )
<= ( ~ ( c1_1 @ a149 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl467]) ).
thf('131',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c2_1 @ a149 )
| ( c1_1 @ a149 )
| ~ ( c3_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl767]) ).
thf(zip_derived_cl89,plain,
( ~ hskp22
| ( c3_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( ( c3_1 @ a149 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('133',plain,
( ~ hskp22
| ~ ( c0_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('134',plain,
( ~ hskp22
| ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl13,plain,
! [X1: $i] :
( ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp9
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('135',plain,
( hskp22
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| hskp9
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl407_084,plain,
( ( c1_1 @ a165 )
<= ( c1_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf(zip_derived_cl216,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl706,plain,
( ( ~ ( c2_1 @ a165 )
| ~ ( c3_1 @ a165 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c1_1 @ a165 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl407,zip_derived_cl216]) ).
thf('136',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a165 )
| ~ ( c2_1 @ a165 )
| ~ ( c3_1 @ a165 ) ),
inference(split,[status(esa)],[zip_derived_cl706]) ).
thf('137',plain,
( ( c1_1 @ a165 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('138',plain,
( ( c2_1 @ a165 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf('139',plain,
( ( c3_1 @ a165 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl374_085,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl575_086,plain,
( ~ ( c0_1 @ a104 )
<= ~ ( c0_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl1546,plain,
( ( ~ ( c1_1 @ a104 )
| ( c2_1 @ a104 ) )
<= ( ~ ( c0_1 @ a104 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl575]) ).
thf('140',plain,
( ~ ( c1_1 @ a104 )
| ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) )
| ( c0_1 @ a104 )
| ( c2_1 @ a104 ) ),
inference(split,[status(esa)],[zip_derived_cl1546]) ).
thf(zip_derived_cl142,plain,
( ~ hskp9
| ( c2_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('141',plain,
( ( c2_1 @ a105 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl264_087,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl143,plain,
( ~ hskp9
| ~ ( c1_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl571,plain,
( ~ ( c1_1 @ a105 )
<= ~ ( c1_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl764,plain,
( ( ~ ( c3_1 @ a105 )
| ~ ( c2_1 @ a105 ) )
<= ( ~ ( c1_1 @ a105 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl571]) ).
thf('142',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c3_1 @ a105 )
| ( c1_1 @ a105 )
| ~ ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl764]) ).
thf('143',plain,
( ( c0_1 @ a105 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf('144',plain,
( ~ ( c1_1 @ a105 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl567_088,plain,
( ( c0_1 @ a105 )
<= ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl300_089,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1099,plain,
( ( ( c1_1 @ a105 )
| ( c3_1 @ a105 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ( c0_1 @ a105 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl300]) ).
thf('145',plain,
( ( c3_1 @ a105 )
| ( c1_1 @ a105 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ~ ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1099]) ).
thf('146',plain,
( hskp1
| ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl60,plain,
( ~ hskp29
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('147',plain,
( ndr1_0
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl96,plain,
( ~ hskp20
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('148',plain,
( ndr1_0
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl96]) ).
thf(zip_derived_cl176,plain,
( ~ hskp0
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('149',plain,
( ndr1_0
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl7,plain,
( hskp20
| hskp29
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( hskp0
| hskp29
| hskp20 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('151',plain,
( ( c2_1 @ a97 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf('152',plain,
( ( c3_1 @ a97 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl175,plain,
( ~ hskp1
| ~ ( c1_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('153',plain,
( ~ ( c1_1 @ a97 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl264_090,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl635,plain,
( ~ ( c1_1 @ a97 )
<= ~ ( c1_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl759,plain,
( ( ~ ( c3_1 @ a97 )
| ~ ( c2_1 @ a97 ) )
<= ( ~ ( c1_1 @ a97 )
& ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl635]) ).
thf('154',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c2_1 @ a97 )
| ( c1_1 @ a97 )
| ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl759]) ).
thf(zip_derived_cl390,plain,
( ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
<= ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl553_091,plain,
( ~ ( c0_1 @ a109 )
<= ~ ( c0_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1659,plain,
( ( ~ ( c2_1 @ a109 )
| ( c1_1 @ a109 ) )
<= ( ~ ( c0_1 @ a109 )
& ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl390,zip_derived_cl553]) ).
thf('155',plain,
( ~ ! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c2_1 @ X75 ) )
| ( c1_1 @ a109 )
| ( c0_1 @ a109 )
| ~ ( c2_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1659]) ).
thf(zip_derived_cl25,plain,
! [X17: $i] :
( ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ( c3_1 @ X17 )
| ~ ndr1_0
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('156',plain,
( hskp13
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl126,plain,
( ~ hskp13
| ( c3_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ( c3_1 @ a112 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl333_092,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_cl42]) ).
thf(zip_derived_cl523_093,plain,
( ~ ( c0_1 @ a116 )
<= ~ ( c0_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl1166,plain,
( ( ~ ( c2_1 @ a116 )
| ~ ( c1_1 @ a116 ) )
<= ( ~ ( c0_1 @ a116 )
& ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl523]) ).
thf('158',plain,
( ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) )
| ~ ( c2_1 @ a116 )
| ( c0_1 @ a116 )
| ~ ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl1166]) ).
thf(zip_derived_cl304_094,plain,
( ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
<= ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1029,plain,
( ~ ( c1_1 @ a133 )
<= ~ ( c1_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl832]) ).
thf(zip_derived_cl1215,plain,
( ( ~ ( c3_1 @ a133 )
| ( c2_1 @ a133 ) )
<= ( ~ ( c1_1 @ a133 )
& ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl1029]) ).
thf('159',plain,
( ~ ! [X29: $i] :
( ( c1_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ( c1_1 @ a133 )
| ( c2_1 @ a133 )
| ~ ( c3_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl1215]) ).
thf(zip_derived_cl559_095,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl241_096,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl911,plain,
( ( ( c2_1 @ a106 )
| ~ ( c3_1 @ a106 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl241]) ).
thf('160',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a106 )
| ~ ( c3_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl911]) ).
thf(zip_derived_cl1146_097,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1114]) ).
thf(zip_derived_cl559_098,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl1853,plain,
( ~ ( c3_1 @ a106 )
<= ( ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1146,zip_derived_cl559]) ).
thf(zip_derived_cl561,plain,
( ( c3_1 @ a106 )
<= ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf('161',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a106 )
| ~ ( c1_1 @ a106 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1853,zip_derived_cl561]) ).
thf(zip_derived_cl177,plain,
( ~ hskp0
| ~ ( c1_1 @ a96 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( ~ ( c1_1 @ a96 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl178,plain,
( ~ hskp0
| ~ ( c2_1 @ a96 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ~ ( c2_1 @ a96 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl179,plain,
( ~ hskp0
| ~ ( c3_1 @ a96 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('164',plain,
( ~ ( c3_1 @ a96 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl318_099,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl639,plain,
( ~ ( c1_1 @ a96 )
<= ~ ( c1_1 @ a96 ) ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf(zip_derived_cl1393,plain,
( ( ( c3_1 @ a96 )
| ( c2_1 @ a96 ) )
<= ( ~ ( c1_1 @ a96 )
& ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl639]) ).
thf('165',plain,
( ~ ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ( c3_1 @ X39 ) )
| ( c1_1 @ a96 )
| ( c2_1 @ a96 )
| ( c3_1 @ a96 ) ),
inference(split,[status(esa)],[zip_derived_cl1393]) ).
thf(zip_derived_cl165,plain,
( ~ hskp3
| ( c2_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( ( c2_1 @ a99 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf('167',plain,
( ~ ( c1_1 @ a99 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl167,plain,
( ~ hskp3
| ~ ( c3_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('168',plain,
( ~ ( c3_1 @ a99 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl296_100,plain,
( ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl617_101,plain,
( ~ ( c1_1 @ a99 )
<= ~ ( c1_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl1041,plain,
( ( ~ ( c2_1 @ a99 )
| ( c3_1 @ a99 ) )
<= ( ~ ( c1_1 @ a99 )
& ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl617]) ).
thf('169',plain,
( ( c1_1 @ a99 )
| ( c3_1 @ a99 )
| ~ ! [X25: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ( c2_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl1041]) ).
thf(zip_derived_cl431_102,plain,
( ( c0_1 @ a94 )
<= ( c0_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl341_103,plain,
( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
<= ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl791,plain,
( ( ~ ( c1_1 @ a94 )
| ~ ( c2_1 @ a94 ) )
<= ( ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
& ( c0_1 @ a94 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl341]) ).
thf('170',plain,
( ~ ! [X50: $i] :
( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) )
| ~ ( c0_1 @ a94 )
| ~ ( c1_1 @ a94 )
| ~ ( c2_1 @ a94 ) ),
inference(split,[status(esa)],[zip_derived_cl791]) ).
thf('171',plain,
( ( c0_1 @ a115 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp14
| ~ ( c2_1 @ a115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('172',plain,
( ~ ( c2_1 @ a115 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl123,plain,
( ~ hskp14
| ~ ( c3_1 @ a115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('173',plain,
( ~ ( c3_1 @ a115 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl527_104,plain,
( ( c0_1 @ a115 )
<= ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl248,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl880,plain,
( ( ( c2_1 @ a115 )
| ( c3_1 @ a115 ) )
<= ( ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
& ( c0_1 @ a115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl248]) ).
thf('174',plain,
( ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 ) )
| ( c2_1 @ a115 )
| ( c3_1 @ a115 )
| ~ ( c0_1 @ a115 ) ),
inference(split,[status(esa)],[zip_derived_cl880]) ).
thf(zip_derived_cl30,plain,
! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 )
| ~ ndr1_0
| hskp14
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('175',plain,
( hskp10
| hskp14
| ! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf('176',plain,
( ~ ( c2_1 @ a106 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf('177',plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ! [X8: $i] :
( ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl330_105,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl236_106,plain,
( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
<= ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1113,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl236]) ).
thf(zip_derived_cl1145,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1113]) ).
thf(zip_derived_cl559_107,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl3494,plain,
( ( ~ ( c3_1 @ a106 )
| ( c2_1 @ a106 ) )
<= ( ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
& ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1145,zip_derived_cl559]) ).
thf('178',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ! [X5: $i] :
( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) )
| ~ ( c3_1 @ a106 )
| ~ ( c1_1 @ a106 )
| ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl3494]) ).
thf(zip_derived_cl47,plain,
! [X56: $i,X57: $i,X58: $i] :
( ( c0_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ndr1_0
| ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ndr1_0
| ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('179',plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ndr1_0
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl133,plain,
( ~ hskp11
| ( c2_1 @ a109 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('180',plain,
( ( c2_1 @ a109 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf('181',plain,
( ~ ( c0_1 @ a109 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp11
| ~ ( c3_1 @ a109 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('182',plain,
( ~ ( c3_1 @ a109 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl346_108,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl553_109,plain,
( ~ ( c0_1 @ a109 )
<= ~ ( c0_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1356,plain,
( ( ~ ( c2_1 @ a109 )
| ( c3_1 @ a109 ) )
<= ( ~ ( c0_1 @ a109 )
& ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl553]) ).
thf('183',plain,
( ( c0_1 @ a109 )
| ( c3_1 @ a109 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 ) )
| ~ ( c2_1 @ a109 ) ),
inference(split,[status(esa)],[zip_derived_cl1356]) ).
thf(zip_derived_cl4,plain,
( hskp14
| hskp12
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('184',plain,
( hskp12
| hskp11
| hskp14 ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl129,plain,
( ~ hskp12
| ( c2_1 @ a110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('185',plain,
( ( c2_1 @ a110 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl130,plain,
( ~ hskp12
| ( c3_1 @ a110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('186',plain,
( ( c3_1 @ a110 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('187',plain,
( ~ ( c0_1 @ a110 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl370_110,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl547_111,plain,
( ~ ( c0_1 @ a110 )
<= ~ ( c0_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1259,plain,
( ( ~ ( c3_1 @ a110 )
| ~ ( c2_1 @ a110 ) )
<= ( ~ ( c0_1 @ a110 )
& ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl547]) ).
thf('188',plain,
( ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ( c3_1 @ a110 )
| ( c0_1 @ a110 )
| ~ ( c2_1 @ a110 ) ),
inference(split,[status(esa)],[zip_derived_cl1259]) ).
thf('189',plain,
( hskp7
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ( c3_1 @ X67 ) )
| ~ ndr1_0
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl149,plain,
( ~ hskp7
| ( c0_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('190',plain,
( ( c0_1 @ a103 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp7
| ~ ( c1_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('191',plain,
( ~ ( c1_1 @ a103 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl151,plain,
( ~ hskp7
| ~ ( c3_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('192',plain,
( ~ ( c3_1 @ a103 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl583,plain,
( ( c0_1 @ a103 )
<= ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl300_112,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1098,plain,
( ( ( c1_1 @ a103 )
| ( c3_1 @ a103 ) )
<= ( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
& ( c0_1 @ a103 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl300]) ).
thf('193',plain,
( ( c3_1 @ a103 )
| ( c1_1 @ a103 )
| ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c0_1 @ X27 ) )
| ~ ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl1098]) ).
thf(zip_derived_cl18136,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN454+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cWlQ3byqyd true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 16:51:02 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.49/2.66 % Solved by fo/fo1_av.sh.
% 14.49/2.66 % done 4730 iterations in 1.876s
% 14.49/2.66 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.49/2.66 % SZS output start Refutation
% See solution above
% 14.49/2.67
% 14.49/2.67
% 14.49/2.67 % Terminating...
% 14.49/2.79 % Runner terminated.
% 14.85/2.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------