%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN442+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q3bqTsIT2c true
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:04:50 PM UTC 2025
% Result : Theorem 11.66s 2.27s
% Output : Refutation 11.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 569 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 3745 ( 0 equ; 0 cnn)
% Maximal formula atoms : 596 ( 6 avg)
% Number of connectives : 8020 (1978 ~;2303 |; 455 &;2866 @)
% ( 0 <=>; 176 =>; 242 <=; 0 <~>)
% Maximal formula depth : 95 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 67 usr; 64 con; 0-1 aty)
% Number of variables : 640 ( 0 ^; 640 !; 0 ?; 640 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a128_type,type,
a128: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a199_type,type,
a199: $i ).
thf(a139_type,type,
a139: $i ).
thf(a181_type,type,
a181: $i ).
thf(a143_type,type,
a143: $i ).
thf(a151_type,type,
a151: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a124_type,type,
a124: $i ).
thf(a133_type,type,
a133: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a125_type,type,
a125: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a130_type,type,
a130: $i ).
thf(a162_type,type,
a162: $i ).
thf(a179_type,type,
a179: $i ).
thf(a150_type,type,
a150: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a138_type,type,
a138: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a136_type,type,
a136: $i ).
thf(a140_type,type,
a140: $i ).
thf(a159_type,type,
a159: $i ).
thf(a170_type,type,
a170: $i ).
thf(a196_type,type,
a196: $i ).
thf(a158_type,type,
a158: $i ).
thf(a149_type,type,
a149: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a168_type,type,
a168: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a134_type,type,
a134: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a192_type,type,
a192: $i ).
thf(a135_type,type,
a135: $i ).
thf(a144_type,type,
a144: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a145_type,type,
a145: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a131_type,type,
a131: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a183_type,type,
a183: $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(a126_type,type,
a126: $i ).
thf(a137_type,type,
a137: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c2_1 @ a124 )
& ( c3_1 @ a124 )
& ~ ( c0_1 @ a124 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a125 )
& ( c1_1 @ a125 )
& ~ ( c3_1 @ a125 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a126 )
& ~ ( c1_1 @ a126 )
& ~ ( c2_1 @ a126 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a128 )
& ~ ( c2_1 @ a128 )
& ~ ( c3_1 @ a128 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a130 )
& ( c2_1 @ a130 )
& ~ ( c3_1 @ a130 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a131 )
& ( c3_1 @ a131 )
& ~ ( c2_1 @ a131 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c0_1 @ a133 )
& ~ ( c1_1 @ a133 )
& ~ ( c2_1 @ a133 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a134 )
& ~ ( c0_1 @ a134 )
& ~ ( c3_1 @ a134 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c2_1 @ a135 )
& ( c3_1 @ a135 )
& ~ ( c1_1 @ a135 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a136 )
& ( c2_1 @ a136 )
& ~ ( c3_1 @ a136 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a138 )
& ( c3_1 @ a138 )
& ~ ( c1_1 @ a138 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a139 )
& ~ ( c1_1 @ a139 )
& ~ ( c3_1 @ a139 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c1_1 @ a140 )
& ( c3_1 @ a140 )
& ~ ( c0_1 @ a140 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a144 )
& ~ ( c0_1 @ a144 )
& ~ ( c3_1 @ a144 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a145 )
& ~ ( c1_1 @ a145 )
& ~ ( c3_1 @ a145 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c3_1 @ a149 )
& ~ ( c1_1 @ a149 )
& ~ ( c2_1 @ a149 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a151 )
& ( c1_1 @ a151 )
& ~ ( c2_1 @ a151 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c1_1 @ a158 )
& ~ ( c2_1 @ a158 )
& ~ ( c3_1 @ a158 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a159 )
& ~ ( c2_1 @ a159 )
& ~ ( c3_1 @ a159 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a162 )
& ( c3_1 @ a162 )
& ~ ( c2_1 @ a162 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a168 )
& ~ ( c0_1 @ a168 )
& ~ ( c2_1 @ a168 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a170 )
& ~ ( c0_1 @ a170 )
& ~ ( c2_1 @ a170 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a179 )
& ( c2_1 @ a179 )
& ~ ( c1_1 @ a179 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a181 )
& ( c2_1 @ a181 )
& ~ ( c0_1 @ a181 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c1_1 @ a183 )
& ~ ( c2_1 @ a183 )
& ~ ( c3_1 @ a183 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a192 )
& ~ ( c1_1 @ a192 )
& ~ ( c3_1 @ a192 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c2_1 @ a196 )
& ~ ( c0_1 @ a196 )
& ~ ( c1_1 @ a196 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a137 )
& ( c2_1 @ a137 )
& ( c3_1 @ a137 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a143 )
& ( c2_1 @ a143 )
& ( c3_1 @ a143 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a150 )
& ( c1_1 @ a150 )
& ( c3_1 @ a150 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a199 )
& ( c1_1 @ a199 )
& ( c2_1 @ a199 ) ) )
& ( ! [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 )
| ( c2_1 @ W )
| ~ ( c0_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c1_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c3_1 @ Z ) ) ) )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp0 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| hskp1
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| hskp1
| hskp3 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) )
| hskp2 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| hskp4
| hskp5 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp4
| hskp6 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| hskp7
| hskp8 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c2_1 @ X10 )
| ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp9 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp27 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| hskp10
| hskp11 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) )
| hskp12
| hskp8 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c1_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp3 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp28
| hskp13 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp14
| hskp3 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c3_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp6 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c1_1 @ X22 ) ) )
| hskp27
| hskp15 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c2_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) )
| hskp29 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c2_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp16 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp28 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp29
| hskp3 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp9
| hskp10 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c2_1 @ X34 ) ) )
| hskp7
| hskp17 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| hskp18 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c2_1 @ X37 )
| ~ ( c3_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c2_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ) )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) )
| hskp7 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| hskp16 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp19 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c3_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ) )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c0_1 @ X49 ) ) )
| hskp4
| hskp5 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c2_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c2_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) ) )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c2_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp8 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| hskp16
| hskp17 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ~ ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp20 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ~ ( c0_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp16
| hskp21 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp10
| hskp13 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c2_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp17 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp1
| hskp3 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c2_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c1_1 @ X66 ) ) )
| hskp18
| hskp21 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| hskp15 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| hskp22 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp16
| hskp23 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c2_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) )
| hskp5
| hskp24 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp4
| hskp24 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c1_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp13 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c3_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| hskp12 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 ) ) )
| hskp19
| hskp13 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp10
| hskp15 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| hskp25
| hskp24 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X80 )
| ~ ( c2_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp1 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X81 )
| ~ ( c2_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp27
| hskp26 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp18
| hskp12 )
& ( hskp30
| hskp10
| hskp18 )
& ( hskp9
| hskp21
| hskp6 )
& ( hskp10
| hskp5
| hskp0 )
& ( hskp11
| hskp8 )
& ( hskp12
| hskp5
| hskp15 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c2_1 @ a124 )
& ( c3_1 @ a124 )
& ~ ( c0_1 @ a124 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a125 )
& ( c1_1 @ a125 )
& ~ ( c3_1 @ a125 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a126 )
& ~ ( c1_1 @ a126 )
& ~ ( c2_1 @ a126 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a128 )
& ~ ( c2_1 @ a128 )
& ~ ( c3_1 @ a128 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a130 )
& ( c2_1 @ a130 )
& ~ ( c3_1 @ a130 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a131 )
& ( c3_1 @ a131 )
& ~ ( c2_1 @ a131 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c0_1 @ a133 )
& ~ ( c1_1 @ a133 )
& ~ ( c2_1 @ a133 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a134 )
& ~ ( c0_1 @ a134 )
& ~ ( c3_1 @ a134 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c2_1 @ a135 )
& ( c3_1 @ a135 )
& ~ ( c1_1 @ a135 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a136 )
& ( c2_1 @ a136 )
& ~ ( c3_1 @ a136 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a138 )
& ( c3_1 @ a138 )
& ~ ( c1_1 @ a138 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a139 )
& ~ ( c1_1 @ a139 )
& ~ ( c3_1 @ a139 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c1_1 @ a140 )
& ( c3_1 @ a140 )
& ~ ( c0_1 @ a140 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a144 )
& ~ ( c0_1 @ a144 )
& ~ ( c3_1 @ a144 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a145 )
& ~ ( c1_1 @ a145 )
& ~ ( c3_1 @ a145 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c3_1 @ a149 )
& ~ ( c1_1 @ a149 )
& ~ ( c2_1 @ a149 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a151 )
& ( c1_1 @ a151 )
& ~ ( c2_1 @ a151 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c1_1 @ a158 )
& ~ ( c2_1 @ a158 )
& ~ ( c3_1 @ a158 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a159 )
& ~ ( c2_1 @ a159 )
& ~ ( c3_1 @ a159 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a162 )
& ( c3_1 @ a162 )
& ~ ( c2_1 @ a162 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a168 )
& ~ ( c0_1 @ a168 )
& ~ ( c2_1 @ a168 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a170 )
& ~ ( c0_1 @ a170 )
& ~ ( c2_1 @ a170 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a179 )
& ( c2_1 @ a179 )
& ~ ( c1_1 @ a179 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a181 )
& ( c2_1 @ a181 )
& ~ ( c0_1 @ a181 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c1_1 @ a183 )
& ~ ( c2_1 @ a183 )
& ~ ( c3_1 @ a183 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a192 )
& ~ ( c1_1 @ a192 )
& ~ ( c3_1 @ a192 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c2_1 @ a196 )
& ~ ( c0_1 @ a196 )
& ~ ( c1_1 @ a196 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a137 )
& ( c2_1 @ a137 )
& ( c3_1 @ a137 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a143 )
& ( c2_1 @ a143 )
& ( c3_1 @ a143 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a150 )
& ( c1_1 @ a150 )
& ( c3_1 @ a150 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c0_1 @ a199 )
& ( c1_1 @ a199 )
& ( c2_1 @ a199 ) ) )
& ( ! [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 )
| ( c2_1 @ W )
| ~ ( c0_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c1_1 @ Z )
| ~ ( c0_1 @ Z )
| ~ ( c3_1 @ Z ) ) ) )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| hskp0 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ( c3_1 @ X3 ) ) )
| hskp1
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| hskp1
| hskp3 )
& ( ! [X5: $i] :
( ndr1_0
=> ( ( c0_1 @ X5 )
| ( c1_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 )
| ~ ( c3_1 @ X6 ) ) )
| hskp2 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| hskp4
| hskp5 )
& ( ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) )
| hskp4
| hskp6 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| hskp7
| hskp8 )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c2_1 @ X10 )
| ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) )
| hskp9 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c0_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp27 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ~ ( c1_1 @ X14 ) ) )
| hskp10
| hskp11 )
& ( ! [X15: $i] :
( ndr1_0
=> ( ( c0_1 @ X15 )
| ( c2_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) )
| hskp12
| hskp8 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c1_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp3 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| hskp28
| hskp13 )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp14
| hskp3 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c3_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp6 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c1_1 @ X22 ) ) )
| hskp27
| hskp15 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c2_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ~ ( c1_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) )
| hskp29 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) ) )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c2_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp16 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 ) ) )
| hskp28 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ( c2_1 @ X32 ) ) )
| hskp29
| hskp3 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp9
| hskp10 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c2_1 @ X34 ) ) )
| hskp7
| hskp17 )
& ( ! [X35: $i] :
( ndr1_0
=> ( ( c0_1 @ X35 )
| ~ ( c1_1 @ X35 )
| ~ ( c2_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) )
| hskp18 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c2_1 @ X37 )
| ~ ( c3_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c2_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ) )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c1_1 @ X40 )
| ( c2_1 @ X40 )
| ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X41 )
| ~ ( c1_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) )
| hskp7 )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c0_1 @ X42 ) ) )
| ! [X43: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) )
| hskp16 )
& ( ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| ! [X45: $i] :
( ndr1_0
=> ( ( c1_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) )
| hskp19 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c3_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c2_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) ) )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c1_1 @ X49 )
| ( c3_1 @ X49 )
| ~ ( c0_1 @ X49 ) ) )
| hskp4
| hskp5 )
& ( ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) )
| ! [X51: $i] :
( ndr1_0
=> ( ( c2_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c2_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) ) )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c1_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c2_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ( c2_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp8 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c2_1 @ X58 ) ) )
| hskp16
| hskp17 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c1_1 @ X59 )
| ~ ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c2_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ( c3_1 @ X60 ) ) )
| hskp20 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c1_1 @ X61 )
| ~ ( c0_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp16
| hskp21 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ~ ( c0_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp10
| hskp13 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c2_1 @ X63 )
| ( c3_1 @ X63 )
| ~ ( c0_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c2_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp17 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ( c0_1 @ X65 ) ) )
| hskp1
| hskp3 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c2_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c1_1 @ X66 ) ) )
| hskp18
| hskp21 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| hskp15 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 )
| ~ ( c3_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| hskp22 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c2_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| hskp16
| hskp23 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c2_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c3_1 @ X71 ) ) )
| hskp5
| hskp24 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c2_1 @ X72 )
| ~ ( c1_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp4
| hskp24 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c3_1 @ X73 )
| ~ ( c0_1 @ X73 )
| ~ ( c1_1 @ X73 ) ) )
| ! [X74: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X74 )
| ~ ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 ) ) )
| hskp13 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c3_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| hskp12 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X76 )
| ~ ( c1_1 @ X76 )
| ~ ( c2_1 @ X76 ) ) )
| hskp19
| hskp13 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp10
| hskp15 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| hskp25
| hskp24 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ( c3_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X80 )
| ~ ( c2_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) )
| hskp1 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X81 )
| ~ ( c2_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp27
| hskp26 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X82 )
| ~ ( c2_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp18
| hskp12 )
& ( hskp30
| hskp10
| hskp18 )
& ( hskp9
| hskp21
| hskp6 )
& ( hskp10
| hskp5
| hskp0 )
& ( hskp11
| hskp8 )
& ( hskp12
| hskp5
| hskp15 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl91,plain,
( ~ hskp23
| ~ ( c0_1 @ a181 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ~ ( c0_1 @ a181 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl90,plain,
( ~ hskp23
| ( c2_1 @ a181 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( c2_1 @ a181 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl157,plain,
( ~ hskp6
| ~ ( c0_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ~ ( c0_1 @ a133 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp6
| ~ ( c1_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ~ ( c1_1 @ a133 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp6
| ~ ( c2_1 @ a133 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ~ ( c2_1 @ a133 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl69,plain,
( ~ hskp28
| ( c0_1 @ a143 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl434,plain,
( ( c0_1 @ a143 )
<= ( c0_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl21,plain,
! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 )
| ~ ndr1_0
| hskp10
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl260,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl8,plain,
! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 )
| ~ ndr1_0
| hskp25
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl210,plain,
( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
<= ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl850,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl210]) ).
thf(zip_derived_cl879,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl850]) ).
thf(zip_derived_cl1194,plain,
( ~ ( c3_1 @ a143 )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
& ( c0_1 @ a143 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl879]) ).
thf(zip_derived_cl71,plain,
( ~ hskp28
| ( c3_1 @ a143 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl438,plain,
( ( c3_1 @ a143 )
<= ( c3_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('5',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c3_1 @ a143 )
| ~ ( c0_1 @ a143 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1194,zip_derived_cl438]) ).
thf(zip_derived_cl43,plain,
! [X61: $i,X62: $i] :
( ( c0_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ndr1_0
| ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('6',plain,
( hskp6
| ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| ~ ndr1_0
| ! [X62: $i] :
( ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl133,plain,
( ~ hskp12
| ( c1_1 @ a140 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl562,plain,
( ( c1_1 @ a140 )
<= ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl348,plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) )
<= ! [X62: $i] :
( ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl1612,plain,
( ( ( c0_1 @ a140 )
| ~ ( c3_1 @ a140 ) )
<= ( ! [X62: $i] :
( ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) )
& ( c1_1 @ a140 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl348]) ).
thf('7',plain,
( ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) )
| ~ ( c1_1 @ a140 )
| ~ ( c3_1 @ a140 )
| ( c0_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1612]) ).
thf(zip_derived_cl153,plain,
( ~ hskp7
| ( c1_1 @ a134 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( c1_1 @ a134 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp7
| ~ ( c0_1 @ a134 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( ~ ( c0_1 @ a134 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp7
| ~ ( c3_1 @ a134 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ~ ( c3_1 @ a134 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl602,plain,
( ( c1_1 @ a134 )
<= ( c1_1 @ a134 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl42,plain,
! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 )
| ~ ndr1_0
| hskp27
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl344,plain,
( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
<= ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl1687,plain,
( ( ( c0_1 @ a134 )
| ( c3_1 @ a134 ) )
<= ( ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
& ( c1_1 @ a134 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl344]) ).
thf('11',plain,
( ~ ! [X60: $i] :
( ( c0_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ( c1_1 @ X60 ) )
| ~ ( c1_1 @ a134 )
| ( c0_1 @ a134 )
| ( c3_1 @ a134 ) ),
inference(split,[status(esa)],[zip_derived_cl1687]) ).
thf(zip_derived_cl35,plain,
! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ndr1_0
| hskp7
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('12',plain,
( hskp7
| hskp17
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl38,plain,
! [X51: $i,X52: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c2_1 @ X51 )
| ~ ndr1_0
| ~ ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( hskp28
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl39,plain,
! [X53: $i,X54: $i] :
( ( c0_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ndr1_0
| ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ndr1_0
| hskp16 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl178,plain,
( ~ hskp1
| ( c1_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl652,plain,
( ( c1_1 @ a125 )
<= ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl17,plain,
! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1585,plain,
( ( ( c2_1 @ a125 )
| ~ ( c0_1 @ a125 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
& ( c1_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl245]) ).
thf('15',plain,
( ( c2_1 @ a125 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c1_1 @ a125 )
| ~ ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl1585]) ).
thf(zip_derived_cl652_001,plain,
( ( c1_1 @ a125 )
<= ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl10,plain,
! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 )
| ~ ndr1_0
| hskp19
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
<= ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1582,plain,
( ( ~ ( c0_1 @ a125 )
| ~ ( c2_1 @ a125 ) )
<= ( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
& ( c1_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl218]) ).
thf('16',plain,
( ~ ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ( c2_1 @ a125 )
| ~ ( c1_1 @ a125 )
| ~ ( c0_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl1582]) ).
thf(zip_derived_cl51,plain,
! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 )
| ~ ndr1_0
| hskp7
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl380,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl122,plain,
( ~ hskp15
| ~ ( c1_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl540,plain,
( ~ ( c1_1 @ a149 )
<= ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1849,plain,
( ( ~ ( c3_1 @ a149 )
| ( c0_1 @ a149 ) )
<= ( ~ ( c1_1 @ a149 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl540]) ).
thf('17',plain,
( ( c0_1 @ a149 )
| ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ( c1_1 @ a149 )
| ~ ( c3_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl1849]) ).
thf(zip_derived_cl161,plain,
( ~ hskp5
| ( c1_1 @ a131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl618,plain,
( ( c1_1 @ a131 )
<= ( c1_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl245_002,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1526,plain,
( ( ( c2_1 @ a131 )
| ~ ( c0_1 @ a131 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
& ( c1_1 @ a131 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl245]) ).
thf('18',plain,
( ~ ( c0_1 @ a131 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ( c2_1 @ a131 )
| ~ ( c1_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl1526]) ).
thf(zip_derived_cl44,plain,
! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 )
| ~ ndr1_0
| hskp14
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl352,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl103,plain,
( ~ hskp20
| ~ ( c2_1 @ a168 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl502,plain,
( ~ ( c2_1 @ a168 )
<= ~ ( c2_1 @ a168 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1754,plain,
( ( ~ ( c3_1 @ a168 )
| ( c0_1 @ a168 ) )
<= ( ~ ( c2_1 @ a168 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl502]) ).
thf('19',plain,
( ~ ( c3_1 @ a168 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ( c0_1 @ a168 )
| ( c2_1 @ a168 ) ),
inference(split,[status(esa)],[zip_derived_cl1754]) ).
thf(zip_derived_cl101,plain,
( ~ hskp20
| ( c1_1 @ a168 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( ( c1_1 @ a168 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp20
| ~ ( c0_1 @ a168 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ~ ( c0_1 @ a168 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf('22',plain,
( ~ ( c2_1 @ a168 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl23,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ndr1_0
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('23',plain,
( hskp20
| ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
| ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl269,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl151,plain,
( ~ hskp8
| ~ ( c1_1 @ a135 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl598,plain,
( ~ ( c1_1 @ a135 )
<= ~ ( c1_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl925,plain,
( ( ~ ( c2_1 @ a135 )
| ~ ( c0_1 @ a135 ) )
<= ( ~ ( c1_1 @ a135 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl598]) ).
thf('24',plain,
( ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
| ~ ( c0_1 @ a135 )
| ( c1_1 @ a135 )
| ~ ( c2_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl925]) ).
thf(zip_derived_cl24,plain,
! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 )
| ~ ndr1_0
| hskp16
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl272,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl79,plain,
( ~ hskp26
| ~ ( c1_1 @ a196 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl454,plain,
( ~ ( c1_1 @ a196 )
<= ~ ( c1_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl979,plain,
( ( ~ ( c2_1 @ a196 )
| ( c3_1 @ a196 ) )
<= ( ~ ( c1_1 @ a196 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl454]) ).
thf('25',plain,
( ( c3_1 @ a196 )
| ( c1_1 @ a196 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ~ ( c2_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl979]) ).
thf('26',plain,
( ~ ( c1_1 @ a196 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl498,plain,
( ( c1_1 @ a168 )
<= ( c1_1 @ a168 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl18,plain,
! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 )
| ~ ndr1_0
| hskp18
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl248,plain,
( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1333,plain,
( ( ( c2_1 @ a168 )
| ( c3_1 @ a168 ) )
<= ( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ( c1_1 @ a168 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl498,zip_derived_cl248]) ).
thf('27',plain,
( ( c3_1 @ a168 )
| ~ ( c1_1 @ a168 )
| ~ ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ( c2_1 @ a168 ) ),
inference(split,[status(esa)],[zip_derived_cl1333]) ).
thf('28',plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| hskp17
| hskp16
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl27,plain,
! [X30: $i,X31: $i,X32: $i] :
( ( c1_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ndr1_0
| ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ndr1_0
| ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c3_1 @ X32 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('29',plain,
( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ~ ndr1_0
| ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl26,plain,
! [X27: $i,X28: $i,X29: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ndr1_0
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ndr1_0
| ~ ( c1_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('30',plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ~ ndr1_0
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl81,plain,
( ~ hskp25
| ( c2_1 @ a192 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('31',plain,
( ( c2_1 @ a192 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ~ hskp25
| ~ ( c1_1 @ a192 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('32',plain,
( ~ ( c1_1 @ a192 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp25
| ~ ( c3_1 @ a192 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( ~ ( c3_1 @ a192 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl272_003,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl460,plain,
( ~ ( c1_1 @ a192 )
<= ~ ( c1_1 @ a192 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl978,plain,
( ( ~ ( c2_1 @ a192 )
| ( c3_1 @ a192 ) )
<= ( ~ ( c1_1 @ a192 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl460]) ).
thf('34',plain,
( ( c1_1 @ a192 )
| ( c3_1 @ a192 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ~ ( c2_1 @ a192 ) ),
inference(split,[status(esa)],[zip_derived_cl978]) ).
thf('35',plain,
( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| hskp25
| hskp24
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl562_004,plain,
( ( c1_1 @ a140 )
<= ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl13,plain,
! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 )
| ~ ndr1_0
| hskp4
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1424,plain,
( ( ( c2_1 @ a140 )
| ~ ( c3_1 @ a140 ) )
<= ( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a140 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl229]) ).
thf('36',plain,
( ( c2_1 @ a140 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c3_1 @ a140 )
| ~ ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1424]) ).
thf(zip_derived_cl73,plain,
( ~ hskp27
| ( c1_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442,plain,
( ( c1_1 @ a137 )
<= ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl210_005,plain,
( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
<= ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1209,plain,
( ( ~ ( c0_1 @ a137 )
| ~ ( c3_1 @ a137 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ( c1_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl210]) ).
thf('37',plain,
( ~ ( c0_1 @ a137 )
| ~ ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c3_1 @ a137 )
| ~ ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1209]) ).
thf(zip_derived_cl77,plain,
( ~ hskp26
| ( c2_1 @ a196 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl450,plain,
( ( c2_1 @ a196 )
<= ( c2_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl33,plain,
! [X43: $i,X44: $i,X45: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 )
| ~ ndr1_0
| ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 )
| ~ ndr1_0
| ( c2_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl310,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1437,plain,
( ( ( c0_1 @ a196 )
| ~ ( c3_1 @ a196 ) )
<= ( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c2_1 @ a196 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl310]) ).
thf('38',plain,
( ~ ( c3_1 @ a196 )
| ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ( c0_1 @ a196 )
| ~ ( c2_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl1437]) ).
thf('39',plain,
( ( c2_1 @ a196 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl78,plain,
( ~ hskp26
| ~ ( c0_1 @ a196 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( ~ ( c0_1 @ a196 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl6,plain,
! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp27
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( hskp26
| hskp27
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl66,plain,
( ~ hskp29
| ( c1_1 @ a150 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
( ( c1_1 @ a150 )
<= ( c1_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl210_006,plain,
( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
<= ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1187,plain,
( ( ~ ( c0_1 @ a150 )
| ~ ( c3_1 @ a150 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ( c1_1 @ a150 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl210]) ).
thf('42',plain,
( ~ ( c1_1 @ a150 )
| ~ ( c3_1 @ a150 )
| ~ ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c0_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl1187]) ).
thf(zip_derived_cl428_007,plain,
( ( c1_1 @ a150 )
<= ( c1_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl229_008,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1190,plain,
( ( ( c2_1 @ a150 )
| ~ ( c3_1 @ a150 ) )
<= ( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a150 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl229]) ).
thf(zip_derived_cl3850,plain,
( ( c2_1 @ a150 )
<= ( c2_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl1190]) ).
thf(zip_derived_cl202,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl3865,plain,
( ( ~ ( c0_1 @ a150 )
| ~ ( c3_1 @ a150 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a150 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3850,zip_derived_cl202]) ).
thf('43',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c2_1 @ a150 )
| ~ ( c0_1 @ a150 )
| ~ ( c3_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl3865]) ).
thf('44',plain,
( ( c1_1 @ a150 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf('45',plain,
( ( c2_1 @ a150 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c1_1 @ a150 )
| ~ ( c3_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl1190]) ).
thf(zip_derived_cl260_009,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl540_010,plain,
( ~ ( c1_1 @ a149 )
<= ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl862,plain,
( ( ~ ( c3_1 @ a149 )
| ~ ( c0_1 @ a149 ) )
<= ( ~ ( c1_1 @ a149 )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl540]) ).
thf('46',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a149 )
| ( c1_1 @ a149 )
| ~ ( c3_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl862]) ).
thf(zip_derived_cl618_011,plain,
( ( c1_1 @ a131 )
<= ( c1_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl210_012,plain,
( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
<= ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1522,plain,
( ( ~ ( c0_1 @ a131 )
| ~ ( c3_1 @ a131 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ( c1_1 @ a131 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl210]) ).
thf('47',plain,
( ~ ( c0_1 @ a131 )
| ~ ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c1_1 @ a131 )
| ~ ( c3_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl1522]) ).
thf(zip_derived_cl562_013,plain,
( ( c1_1 @ a140 )
<= ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp18
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,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_cl5]) ).
thf(zip_derived_cl1420,plain,
( ( ~ ( c2_1 @ a140 )
| ~ ( c3_1 @ a140 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c1_1 @ a140 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl198]) ).
thf('48',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a140 )
| ~ ( c3_1 @ a140 )
| ~ ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1420]) ).
thf(zip_derived_cl118,plain,
( ~ hskp16
| ( c1_1 @ a151 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
( ( c1_1 @ a151 )
<= ( c1_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl229_014,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1414,plain,
( ( ( c2_1 @ a151 )
| ~ ( c3_1 @ a151 ) )
<= ( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a151 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl229]) ).
thf('49',plain,
( ~ ( c3_1 @ a151 )
| ( c2_1 @ a151 )
| ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c1_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl1414]) ).
thf(zip_derived_cl309,plain,
( ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) )
<= ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl143,plain,
( ~ hskp10
| ~ ( c1_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl582,plain,
( ~ ( c1_1 @ a138 )
<= ~ ( c1_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl1376,plain,
( ( ~ ( c3_1 @ a138 )
| ( c2_1 @ a138 ) )
<= ( ~ ( c1_1 @ a138 )
& ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl582]) ).
thf('50',plain,
( ( c2_1 @ a138 )
| ( c1_1 @ a138 )
| ~ ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) )
| ~ ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl1376]) ).
thf(zip_derived_cl31,plain,
! [X39: $i,X40: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ndr1_0
| ~ ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
( ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) )
<= ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl582_015,plain,
( ~ ( c1_1 @ a138 )
<= ~ ( c1_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl1230,plain,
( ( ~ ( c0_1 @ a138 )
| ( c2_1 @ a138 ) )
<= ( ~ ( c1_1 @ a138 )
& ! [X39: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl582]) ).
thf(zip_derived_cl4035,plain,
( ( c2_1 @ a138 )
<= ( c2_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl1230]) ).
thf(zip_derived_cl202_016,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl4050,plain,
( ( ~ ( c0_1 @ a138 )
| ~ ( c3_1 @ a138 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a138 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4035,zip_derived_cl202]) ).
thf('51',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c2_1 @ a138 )
| ~ ( c0_1 @ a138 )
| ~ ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl4050]) ).
thf(zip_derived_cl113,plain,
( ~ hskp17
| ( c1_1 @ a158 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl522,plain,
( ( c1_1 @ a158 )
<= ( c1_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl47,plain,
! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 )
| ~ ndr1_0
| hskp12
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl1723,plain,
( ( ( c0_1 @ a158 )
| ( c2_1 @ a158 ) )
<= ( ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 ) )
& ( c1_1 @ a158 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl364]) ).
thf('52',plain,
( ( c0_1 @ a158 )
| ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 ) )
| ~ ( c1_1 @ a158 )
| ( c2_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl1723]) ).
thf('53',plain,
( ( c1_1 @ a158 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl114,plain,
( ~ hskp17
| ~ ( c2_1 @ a158 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('54',plain,
( ~ ( c2_1 @ a158 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( ~ hskp17
| ~ ( c3_1 @ a158 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('55',plain,
( ~ ( c3_1 @ a158 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl269_017,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl138,plain,
( ~ hskp11
| ~ ( c1_1 @ a139 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl572,plain,
( ~ ( c1_1 @ a139 )
<= ~ ( c1_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl927,plain,
( ( ~ ( c2_1 @ a139 )
| ~ ( c0_1 @ a139 ) )
<= ( ~ ( c1_1 @ a139 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl572]) ).
thf(zip_derived_cl1019,plain,
( ~ ( c2_1 @ a139 )
<= ~ ( c2_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl927]) ).
thf(zip_derived_cl19,plain,
! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ndr1_0
| hskp1
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl252,plain,
( ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
<= ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1022,plain,
( ( ( c3_1 @ a139 )
| ~ ( c0_1 @ a139 ) )
<= ( ~ ( c2_1 @ a139 )
& ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1019,zip_derived_cl252]) ).
thf('56',plain,
( ~ ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ( c2_1 @ a139 )
| ( c3_1 @ a139 )
| ~ ( c0_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl1022]) ).
thf(zip_derived_cl272_018,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl572_019,plain,
( ~ ( c1_1 @ a139 )
<= ~ ( c1_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl973,plain,
( ( ~ ( c2_1 @ a139 )
| ( c3_1 @ a139 ) )
<= ( ~ ( c1_1 @ a139 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl572]) ).
thf('57',plain,
( ( c3_1 @ a139 )
| ~ ( c2_1 @ a139 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ( c1_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl973]) ).
thf(zip_derived_cl25,plain,
! [X25: $i,X26: $i] :
( ( c1_1 @ X25 )
| ( c3_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ndr1_0
| ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c3_1 @ X26 )
| ~ ndr1_0
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('58',plain,
( hskp8
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf('59',plain,
( hskp8
| hskp12
| ~ ndr1_0
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c2_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl136,plain,
( ~ hskp11
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ndr1_0
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl136]) ).
thf(zip_derived_cl149,plain,
( ~ hskp8
| ( c2_1 @ a135 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl594,plain,
( ( c2_1 @ a135 )
<= ( c2_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl202_020,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1506,plain,
( ( ~ ( c0_1 @ a135 )
| ~ ( c3_1 @ a135 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a135 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl202]) ).
thf('61',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a135 )
| ~ ( c3_1 @ a135 )
| ~ ( c2_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl1506]) ).
thf('62',plain,
( ( c2_1 @ a135 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl594_021,plain,
( ( c2_1 @ a135 )
<= ( c2_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl310_022,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1507,plain,
( ( ( c0_1 @ a135 )
| ~ ( c3_1 @ a135 ) )
<= ( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c2_1 @ a135 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl310]) ).
thf('63',plain,
( ( c0_1 @ a135 )
| ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ( c2_1 @ a135 )
| ~ ( c3_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl1507]) ).
thf(zip_derived_cl522_023,plain,
( ( c1_1 @ a158 )
<= ( c1_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl11,plain,
! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ndr1_0
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl222,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1360,plain,
( ( ( c3_1 @ a158 )
| ~ ( c0_1 @ a158 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c1_1 @ a158 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl222]) ).
thf('64',plain,
( ~ ( c0_1 @ a158 )
| ~ ( c1_1 @ a158 )
| ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ( c3_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl1360]) ).
thf(zip_derived_cl70,plain,
( ~ hskp28
| ( c2_1 @ a143 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('65',plain,
( ( c2_1 @ a143 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl436,plain,
( ( c2_1 @ a143 )
<= ( c2_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl202_024,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1206,plain,
( ( ~ ( c0_1 @ a143 )
| ~ ( c3_1 @ a143 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a143 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl202]) ).
thf('66',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a143 )
| ~ ( c3_1 @ a143 )
| ~ ( c2_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl1206]) ).
thf(zip_derived_cl74,plain,
( ~ hskp27
| ( c2_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl444,plain,
( ( c2_1 @ a137 )
<= ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl202_025,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl1216,plain,
( ( ~ ( c0_1 @ a137 )
| ~ ( c3_1 @ a137 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl202]) ).
thf('67',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a137 )
| ~ ( c2_1 @ a137 )
| ~ ( c3_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1216]) ).
thf(zip_derived_cl37,plain,
! [X50: $i] :
( ( c0_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ndr1_0
| hskp29
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('68',plain,
( hskp3
| hskp29
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl45,plain,
! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 )
| ~ ndr1_0
| hskp28
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('69',plain,
( hskp28
| hskp13
| ~ ndr1_0
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl141,plain,
( ~ hskp10
| ( c0_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl578,plain,
( ( c0_1 @ a138 )
<= ( c0_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl14,plain,
! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 )
| ~ ndr1_0
| hskp5
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl233,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl202_026,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl704,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl233,zip_derived_cl202]) ).
thf(zip_derived_cl705,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl704]) ).
thf(zip_derived_cl1453,plain,
( ~ ( c3_1 @ a138 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c0_1 @ a138 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl578,zip_derived_cl705]) ).
thf(zip_derived_cl142,plain,
( ~ hskp10
| ( c3_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl580,plain,
( ( c3_1 @ a138 )
<= ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf('70',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a138 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a138 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl580]) ).
thf('71',plain,
( ( c0_1 @ a143 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf('72',plain,
( ( c3_1 @ a143 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl434_027,plain,
( ( c0_1 @ a143 )
<= ( c0_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl705_028,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl704]) ).
thf(zip_derived_cl1193,plain,
( ~ ( c3_1 @ a143 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c0_1 @ a143 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl434,zip_derived_cl705]) ).
thf(zip_derived_cl438_029,plain,
( ( c3_1 @ a143 )
<= ( c3_1 @ a143 ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf('73',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a143 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a143 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1193,zip_derived_cl438]) ).
thf(zip_derived_cl65,plain,
( ~ hskp29
| ( c0_1 @ a150 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl426,plain,
( ( c0_1 @ a150 )
<= ( c0_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl705_030,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl704]) ).
thf(zip_derived_cl1178,plain,
( ~ ( c3_1 @ a150 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c0_1 @ a150 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl705]) ).
thf(zip_derived_cl67,plain,
( ~ hskp29
| ( c3_1 @ a150 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl430,plain,
( ( c3_1 @ a150 )
<= ( c3_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('74',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a150 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a150 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1178,zip_derived_cl430]) ).
thf(zip_derived_cl442_031,plain,
( ( c1_1 @ a137 )
<= ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl34,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
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl313,plain,
( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
<= ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1494,plain,
( ( ( c0_1 @ a137 )
| ~ ( c2_1 @ a137 ) )
<= ( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
& ( c1_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl313]) ).
thf('75',plain,
( ~ ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
| ( c0_1 @ a137 )
| ~ ( c1_1 @ a137 )
| ~ ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1494]) ).
thf(zip_derived_cl444_032,plain,
( ( c2_1 @ a137 )
<= ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl310_033,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl1438,plain,
( ( ( c0_1 @ a137 )
| ~ ( c3_1 @ a137 ) )
<= ( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c2_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl310]) ).
thf('76',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ( c0_1 @ a137 )
| ~ ( c3_1 @ a137 )
| ~ ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1438]) ).
thf(zip_derived_cl442_034,plain,
( ( c1_1 @ a137 )
<= ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl218_035,plain,
( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
<= ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1210,plain,
( ( ~ ( c0_1 @ a137 )
| ~ ( c2_1 @ a137 ) )
<= ( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
& ( c1_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl218]) ).
thf('77',plain,
( ~ ( c0_1 @ a137 )
| ~ ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ( c1_1 @ a137 )
| ~ ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1210]) ).
thf(zip_derived_cl450_036,plain,
( ( c2_1 @ a196 )
<= ( c2_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl316,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1541,plain,
( ( ( c0_1 @ a196 )
| ( c3_1 @ a196 ) )
<= ( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
& ( c2_1 @ a196 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl450,zip_derived_cl316]) ).
thf('78',plain,
( ( c3_1 @ a196 )
| ( c0_1 @ a196 )
| ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ( c2_1 @ a196 ) ),
inference(split,[status(esa)],[zip_derived_cl1541]) ).
thf(zip_derived_cl5108,plain,
( ( c2_1 @ a140 )
<= ( c2_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1424]) ).
thf(zip_derived_cl310_037,plain,
( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
<= ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl5130,plain,
( ( ( c0_1 @ a140 )
| ~ ( c3_1 @ a140 ) )
<= ( ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
& ( c2_1 @ a140 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5108,zip_derived_cl310]) ).
thf('79',plain,
( ~ ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ( c2_1 @ a140 )
| ~ ( c3_1 @ a140 )
| ( c0_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl5130]) ).
thf('80',plain,
( hskp13
| hskp19
| ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl41,plain,
! [X58: $i,X59: $i] :
( ( c0_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ndr1_0
| ( c0_1 @ X59 )
| ~ ( c1_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('81',plain,
( hskp29
| ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
| ~ ndr1_0
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl562_038,plain,
( ( c1_1 @ a140 )
<= ( c1_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl313_039,plain,
( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
<= ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1489,plain,
( ( ( c0_1 @ a140 )
| ~ ( c2_1 @ a140 ) )
<= ( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
& ( c1_1 @ a140 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl562,zip_derived_cl313]) ).
thf('82',plain,
( ~ ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
| ~ ( c2_1 @ a140 )
| ~ ( c1_1 @ a140 )
| ( c0_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1489]) ).
thf(zip_derived_cl2184,plain,
( ~ ( c2_1 @ a140 )
<= ~ ( c2_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl1420]) ).
thf(zip_derived_cl352_040,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl2188,plain,
( ( ( c0_1 @ a140 )
| ~ ( c3_1 @ a140 ) )
<= ( ~ ( c2_1 @ a140 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2184,zip_derived_cl352]) ).
thf('83',plain,
( ( c2_1 @ a140 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ~ ( c3_1 @ a140 )
| ( c0_1 @ a140 ) ),
inference(split,[status(esa)],[zip_derived_cl2188]) ).
thf(zip_derived_cl134,plain,
( ~ hskp12
| ( c3_1 @ a140 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('84',plain,
( ( c3_1 @ a140 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp12
| ~ ( c0_1 @ a140 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('85',plain,
( ~ ( c0_1 @ a140 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl0,plain,
( hskp12
| hskp5
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('86',plain,
( hskp12
| hskp15
| hskp5 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl163,plain,
( ~ hskp5
| ~ ( c2_1 @ a131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl622,plain,
( ~ ( c2_1 @ a131 )
<= ~ ( c2_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl233_041,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl762,plain,
( ( ~ ( c0_1 @ a131 )
| ~ ( c3_1 @ a131 ) )
<= ( ~ ( c2_1 @ a131 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl622,zip_derived_cl233]) ).
thf('87',plain,
( ~ ( c0_1 @ a131 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a131 )
| ( c2_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl762]) ).
thf(zip_derived_cl352_042,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl622_043,plain,
( ~ ( c2_1 @ a131 )
<= ~ ( c2_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl1743,plain,
( ( ~ ( c3_1 @ a131 )
| ( c0_1 @ a131 ) )
<= ( ~ ( c2_1 @ a131 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl622]) ).
thf('88',plain,
( ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ( c0_1 @ a131 )
| ( c2_1 @ a131 )
| ~ ( c3_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl1743]) ).
thf(zip_derived_cl9,plain,
! [X5: $i] :
( ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ( c3_1 @ X5 )
| ~ ndr1_0
| hskp10
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('89',plain,
( hskp10
| ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| hskp15
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c3_1 @ X21 )
| ~ ndr1_0
| hskp16
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( hskp21
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| hskp16
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl123,plain,
( ~ hskp15
| ~ ( c2_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl542,plain,
( ~ ( c2_1 @ a149 )
<= ~ ( c2_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl233_044,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl736,plain,
( ( ~ ( c0_1 @ a149 )
| ~ ( c3_1 @ a149 ) )
<= ( ~ ( c2_1 @ a149 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl542,zip_derived_cl233]) ).
thf('91',plain,
( ~ ( c0_1 @ a149 )
| ( c2_1 @ a149 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c3_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl736]) ).
thf(zip_derived_cl352_045,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl542_046,plain,
( ~ ( c2_1 @ a149 )
<= ~ ( c2_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1749,plain,
( ( ~ ( c3_1 @ a149 )
| ( c0_1 @ a149 ) )
<= ( ~ ( c2_1 @ a149 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl542]) ).
thf('92',plain,
( ( c0_1 @ a149 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ( c2_1 @ a149 )
| ~ ( c3_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl1749]) ).
thf('93',plain,
( ( c0_1 @ a150 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('94',plain,
( ( c3_1 @ a150 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl426_047,plain,
( ( c0_1 @ a150 )
<= ( c0_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl879_048,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl850]) ).
thf(zip_derived_cl1179,plain,
( ~ ( c3_1 @ a150 )
<= ( ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
& ( c0_1 @ a150 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl879]) ).
thf(zip_derived_cl430_049,plain,
( ( c3_1 @ a150 )
<= ( c3_1 @ a150 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('95',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ! [X4: $i] :
( ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ( c3_1 @ X4 ) )
| ~ ( c3_1 @ a150 )
| ~ ( c0_1 @ a150 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1179,zip_derived_cl430]) ).
thf(zip_derived_cl97,plain,
( ~ hskp21
| ( c3_1 @ a170 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('96',plain,
( ( c3_1 @ a170 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp21
| ~ ( c0_1 @ a170 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ~ ( c0_1 @ a170 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp21
| ~ ( c2_1 @ a170 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('98',plain,
( ~ ( c2_1 @ a170 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl352_050,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl494,plain,
( ~ ( c2_1 @ a170 )
<= ~ ( c2_1 @ a170 ) ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl1755,plain,
( ( ~ ( c3_1 @ a170 )
| ( c0_1 @ a170 ) )
<= ( ~ ( c2_1 @ a170 )
& ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl494]) ).
thf('99',plain,
( ( c0_1 @ a170 )
| ( c2_1 @ a170 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ~ ( c3_1 @ a170 ) ),
inference(split,[status(esa)],[zip_derived_cl1755]) ).
thf(zip_derived_cl532_051,plain,
( ( c1_1 @ a151 )
<= ( c1_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl222_052,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1413,plain,
( ( ( c3_1 @ a151 )
| ~ ( c0_1 @ a151 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c1_1 @ a151 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl222]) ).
thf('100',plain,
( ( c3_1 @ a151 )
| ~ ( c0_1 @ a151 )
| ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c1_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl1413]) ).
thf(zip_derived_cl126,plain,
( ~ hskp14
| ~ ( c1_1 @ a145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( ~ hskp14
| ~ ( c1_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl272_053,plain,
( ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
<= ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl548,plain,
( ~ ( c1_1 @ a145 )
<= ~ ( c1_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl974,plain,
( ( ~ ( c2_1 @ a145 )
| ( c3_1 @ a145 ) )
<= ( ~ ( c1_1 @ a145 )
& ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl548]) ).
thf('102',plain,
( ( c1_1 @ a145 )
| ( c3_1 @ a145 )
| ~ ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ~ ( c2_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl974]) ).
thf(zip_derived_cl125,plain,
( ~ hskp14
| ~ ( c0_1 @ a145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('103',plain,
( ~ hskp14
| ~ ( c0_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf(zip_derived_cl127,plain,
( ~ hskp14
| ~ ( c3_1 @ a145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( ~ hskp14
| ~ ( c3_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf('105',plain,
( hskp14
| hskp3
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X65: $i,X66: $i] :
( ( c0_1 @ X65 )
| ( c2_1 @ X65 )
| ~ ( c3_1 @ X65 )
| ~ ndr1_0
| ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c2_1 @ X66 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( hskp3
| ! [X24: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 ) )
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl169,plain,
( ~ hskp3
| ~ ( c0_1 @ a128 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('107',plain,
( ~ ( c0_1 @ a128 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl170,plain,
( ~ hskp3
| ~ ( c2_1 @ a128 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ~ ( c2_1 @ a128 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp3
| ~ ( c3_1 @ a128 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( ~ ( c3_1 @ a128 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl49,plain,
! [X69: $i,X70: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ndr1_0
| ( c0_1 @ X70 )
| ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl373,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl636,plain,
( ~ ( c2_1 @ a128 )
<= ~ ( c2_1 @ a128 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1792,plain,
( ( ( c3_1 @ a128 )
| ( c0_1 @ a128 ) )
<= ( ~ ( c2_1 @ a128 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl636]) ).
thf('110',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ( c0_1 @ a128 )
| ( c2_1 @ a128 )
| ( c3_1 @ a128 ) ),
inference(split,[status(esa)],[zip_derived_cl1792]) ).
thf(zip_derived_cl373_054,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl269_055,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl548_056,plain,
( ~ ( c1_1 @ a145 )
<= ~ ( c1_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl928,plain,
( ( ~ ( c2_1 @ a145 )
| ~ ( c0_1 @ a145 ) )
<= ( ~ ( c1_1 @ a145 )
& ! [X22: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl548]) ).
thf(zip_derived_cl1025,plain,
( ~ ( c2_1 @ a145 )
<= ~ ( c2_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl928]) ).
thf(zip_derived_cl1798,plain,
( ( ( c3_1 @ a145 )
| ( c0_1 @ a145 ) )
<= ( ~ ( c2_1 @ a145 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl1025]) ).
thf('111',plain,
( ( c0_1 @ a145 )
| ( c3_1 @ a145 )
| ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ( c2_1 @ a145 ) ),
inference(split,[status(esa)],[zip_derived_cl1798]) ).
thf('112',plain,
( hskp27
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf('113',plain,
( ( c1_1 @ a137 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('114',plain,
( ( c2_1 @ a137 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl75,plain,
( ~ hskp27
| ( c3_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('115',plain,
( ( c3_1 @ a137 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl442_057,plain,
( ( c1_1 @ a137 )
<= ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl198_058,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_cl5]) ).
thf(zip_derived_cl1208,plain,
( ( ~ ( c2_1 @ a137 )
| ~ ( c3_1 @ a137 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c1_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl198]) ).
thf('116',plain,
( ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a137 )
| ~ ( c3_1 @ a137 )
| ~ ( c2_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1208]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X3: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ( c3_1 @ X2 )
| ~ ndr1_0
| ~ ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ( c3_1 @ X3 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('117',plain,
( hskp1
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl177,plain,
( ~ hskp1
| ( c0_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('118',plain,
( ( c0_1 @ a125 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf('119',plain,
( ( c1_1 @ a125 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl179,plain,
( ~ hskp1
| ~ ( c3_1 @ a125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('120',plain,
( ~ ( c3_1 @ a125 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl652_059,plain,
( ( c1_1 @ a125 )
<= ( c1_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl222_060,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1583,plain,
( ( ( c3_1 @ a125 )
| ~ ( c0_1 @ a125 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c1_1 @ a125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl222]) ).
thf('121',plain,
( ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c0_1 @ a125 )
| ~ ( c1_1 @ a125 )
| ( c3_1 @ a125 ) ),
inference(split,[status(esa)],[zip_derived_cl1583]) ).
thf('122',plain,
( hskp12
| ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf('123',plain,
( ( c1_1 @ a140 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl522_061,plain,
( ( c1_1 @ a158 )
<= ( c1_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl248_062,plain,
( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
<= ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1363,plain,
( ( ( c2_1 @ a158 )
| ( c3_1 @ a158 ) )
<= ( ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
& ( c1_1 @ a158 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl248]) ).
thf('124',plain,
( ~ ( c1_1 @ a158 )
| ( c2_1 @ a158 )
| ~ ! [X16: $i] :
( ( c2_1 @ X16 )
| ( c3_1 @ X16 )
| ~ ( c1_1 @ X16 ) )
| ( c3_1 @ a158 ) ),
inference(split,[status(esa)],[zip_derived_cl1363]) ).
thf(zip_derived_cl105,plain,
( ~ hskp19
| ( c0_1 @ a162 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( ( c0_1 @ a162 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl106,plain,
( ~ hskp19
| ( c3_1 @ a162 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('126',plain,
( ( c3_1 @ a162 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl107,plain,
( ~ hskp19
| ~ ( c2_1 @ a162 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('127',plain,
( ~ ( c2_1 @ a162 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl510,plain,
( ~ ( c2_1 @ a162 )
<= ~ ( c2_1 @ a162 ) ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl233_063,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl716,plain,
( ( ~ ( c0_1 @ a162 )
| ~ ( c3_1 @ a162 ) )
<= ( ~ ( c2_1 @ a162 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl233]) ).
thf('128',plain,
( ~ ( c3_1 @ a162 )
| ( c2_1 @ a162 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c0_1 @ a162 ) ),
inference(split,[status(esa)],[zip_derived_cl716]) ).
thf(zip_derived_cl58,plain,
! [X82: $i,X83: $i,X84: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 )
| ~ ndr1_0
| ( c0_1 @ X83 )
| ( c2_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ndr1_0
| ( c1_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c3_1 @ X84 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl410,plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
<= ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl612,plain,
( ~ ( c1_1 @ a133 )
<= ~ ( c1_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl1966,plain,
( ( ( c2_1 @ a133 )
| ( c0_1 @ a133 ) )
<= ( ~ ( c1_1 @ a133 )
& ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl612]) ).
thf('129',plain,
( ( c0_1 @ a133 )
| ( c1_1 @ a133 )
| ~ ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ( c2_1 @ a133 ) ),
inference(split,[status(esa)],[zip_derived_cl1966]) ).
thf(zip_derived_cl29,plain,
! [X34: $i,X35: $i,X36: $i] :
( ( c1_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c0_1 @ X34 )
| ~ ndr1_0
| ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 )
| ~ ndr1_0
| ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('130',plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl260_064,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl598_065,plain,
( ~ ( c1_1 @ a135 )
<= ~ ( c1_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl858,plain,
( ( ~ ( c3_1 @ a135 )
| ~ ( c0_1 @ a135 ) )
<= ( ~ ( c1_1 @ a135 )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl598]) ).
thf('131',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a135 )
| ( c1_1 @ a135 )
| ~ ( c3_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl858]) ).
thf(zip_derived_cl150,plain,
( ~ hskp8
| ( c3_1 @ a135 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( ( c3_1 @ a135 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf('133',plain,
( ~ ( c1_1 @ a135 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl1,plain,
( hskp11
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( hskp8
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl137,plain,
( ~ hskp11
| ( c0_1 @ a139 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('135',plain,
( ( c0_1 @ a139 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf('136',plain,
( ~ hskp11
| ~ ( c1_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl139,plain,
( ~ hskp11
| ~ ( c3_1 @ a139 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ~ hskp11
| ~ ( c3_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl28,plain,
! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ndr1_0
| hskp4
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl288,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl572_066,plain,
( ~ ( c1_1 @ a139 )
<= ~ ( c1_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl1117,plain,
( ( ~ ( c0_1 @ a139 )
| ( c3_1 @ a139 ) )
<= ( ~ ( c1_1 @ a139 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl572]) ).
thf('138',plain,
( ( c1_1 @ a139 )
| ( c3_1 @ a139 )
| ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ~ ( c0_1 @ a139 ) ),
inference(split,[status(esa)],[zip_derived_cl1117]) ).
thf('139',plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| hskp5
| hskp4
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl53,plain,
! [X75: $i] :
( ( c0_1 @ X75 )
| ( c1_1 @ X75 )
| ~ ( c3_1 @ X75 )
| ~ ndr1_0
| hskp4
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('140',plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| hskp5
| hskp4
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl12,plain,
! [X8: $i,X9: $i] :
( ( c3_1 @ X8 )
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ndr1_0
| ~ ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ndr1_0
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('141',plain,
( hskp13
| ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ndr1_0
| ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl165,plain,
( ~ hskp4
| ( c1_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl626,plain,
( ( c1_1 @ a130 )
<= ( c1_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl218_067,plain,
( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
<= ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1549,plain,
( ( ~ ( c0_1 @ a130 )
| ~ ( c2_1 @ a130 ) )
<= ( ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
& ( c1_1 @ a130 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl218]) ).
thf('142',plain,
( ~ ( c0_1 @ a130 )
| ~ ! [X6: $i] :
( ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) )
| ~ ( c1_1 @ a130 )
| ~ ( c2_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl1549]) ).
thf(zip_derived_cl166,plain,
( ~ hskp4
| ( c2_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl628,plain,
( ( c2_1 @ a130 )
<= ( c2_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl316_068,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1558,plain,
( ( ( c0_1 @ a130 )
| ( c3_1 @ a130 ) )
<= ( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
& ( c2_1 @ a130 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl628,zip_derived_cl316]) ).
thf('143',plain,
( ( c0_1 @ a130 )
| ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ( c3_1 @ a130 )
| ~ ( c2_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl1558]) ).
thf('144',plain,
( ( c1_1 @ a130 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf('145',plain,
( ( c2_1 @ a130 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl166]) ).
thf(zip_derived_cl167,plain,
( ~ hskp4
| ~ ( c3_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ~ ( c3_1 @ a130 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl167]) ).
thf(zip_derived_cl626_069,plain,
( ( c1_1 @ a130 )
<= ( c1_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl165]) ).
thf(zip_derived_cl222_070,plain,
( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
<= ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1550,plain,
( ( ( c3_1 @ a130 )
| ~ ( c0_1 @ a130 ) )
<= ( ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
& ( c1_1 @ a130 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl626,zip_derived_cl222]) ).
thf('147',plain,
( ~ ( c0_1 @ a130 )
| ~ ! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 ) )
| ~ ( c1_1 @ a130 )
| ( c3_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl1550]) ).
thf('148',plain,
( hskp10
| hskp13
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl129,plain,
( ~ hskp13
| ( c2_1 @ a144 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('149',plain,
( ( c2_1 @ a144 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl130,plain,
( ~ hskp13
| ~ ( c0_1 @ a144 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ~ ( c0_1 @ a144 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl131,plain,
( ~ hskp13
| ~ ( c3_1 @ a144 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('151',plain,
( ~ ( c3_1 @ a144 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl554,plain,
( ( c2_1 @ a144 )
<= ( c2_1 @ a144 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl316_071,plain,
( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
<= ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1537,plain,
( ( ( c0_1 @ a144 )
| ( c3_1 @ a144 ) )
<= ( ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
& ( c2_1 @ a144 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl316]) ).
thf('152',plain,
( ~ ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ( c0_1 @ a144 )
| ( c3_1 @ a144 )
| ~ ( c2_1 @ a144 ) ),
inference(split,[status(esa)],[zip_derived_cl1537]) ).
thf(zip_derived_cl380_072,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl598_073,plain,
( ~ ( c1_1 @ a135 )
<= ~ ( c1_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl1845,plain,
( ( ~ ( c3_1 @ a135 )
| ( c0_1 @ a135 ) )
<= ( ~ ( c1_1 @ a135 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl598]) ).
thf('153',plain,
( ( c0_1 @ a135 )
| ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c1_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ( c1_1 @ a135 )
| ~ ( c3_1 @ a135 ) ),
inference(split,[status(esa)],[zip_derived_cl1845]) ).
thf('154',plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ndr1_0
| ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl373_074,plain,
( ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
<= ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl49]) ).
thf(zip_derived_cl86,plain,
( ~ hskp24
| ~ ( c2_1 @ a183 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl468,plain,
( ~ ( c2_1 @ a183 )
<= ~ ( c2_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl1807,plain,
( ( ( c3_1 @ a183 )
| ( c0_1 @ a183 ) )
<= ( ~ ( c2_1 @ a183 )
& ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl468]) ).
thf('155',plain,
( ~ ! [X69: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 ) )
| ( c0_1 @ a183 )
| ( c3_1 @ a183 )
| ( c2_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl40,plain,
! [X55: $i,X56: $i,X57: $i] :
( ( c0_1 @ X55 )
| ( c3_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ndr1_0
| ( c1_1 @ X56 )
| ( c2_1 @ X56 )
| ( c3_1 @ X56 )
| ~ ndr1_0
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('156',plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
| ! [X48: $i] :
( ( c0_1 @ X48 )
| ( c3_1 @ X48 )
| ~ ( c2_1 @ X48 ) )
| ~ ndr1_0
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl410_075,plain,
( ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
<= ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl85,plain,
( ~ hskp24
| ~ ( c1_1 @ a183 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl466,plain,
( ~ ( c1_1 @ a183 )
<= ~ ( c1_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1973,plain,
( ( ( c2_1 @ a183 )
| ( c0_1 @ a183 ) )
<= ( ~ ( c1_1 @ a183 )
& ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl466]) ).
thf('157',plain,
( ( c0_1 @ a183 )
| ( c2_1 @ a183 )
| ~ ! [X82: $i] :
( ( c0_1 @ X82 )
| ( c1_1 @ X82 )
| ( c2_1 @ X82 ) )
| ( c1_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl1973]) ).
thf(zip_derived_cl288_076,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl466_077,plain,
( ~ ( c1_1 @ a183 )
<= ~ ( c1_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1121,plain,
( ( ~ ( c0_1 @ a183 )
| ( c3_1 @ a183 ) )
<= ( ~ ( c1_1 @ a183 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl466]) ).
thf('158',plain,
( ~ ( c0_1 @ a183 )
| ( c1_1 @ a183 )
| ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ( c3_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl1121]) ).
thf(zip_derived_cl32,plain,
! [X41: $i,X42: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ndr1_0
| ~ ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c3_1 @ X42 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl305,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl466_078,plain,
( ~ ( c1_1 @ a183 )
<= ~ ( c1_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl1291,plain,
( ( ( c3_1 @ a183 )
| ( c2_1 @ a183 ) )
<= ( ~ ( c1_1 @ a183 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl466]) ).
thf('159',plain,
( ( c1_1 @ a183 )
| ( c2_1 @ a183 )
| ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ( c3_1 @ X41 ) )
| ( c3_1 @ a183 ) ),
inference(split,[status(esa)],[zip_derived_cl1291]) ).
thf('160',plain,
( ~ ( c1_1 @ a183 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('161',plain,
( ~ ( c2_1 @ a183 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp24
| ~ ( c3_1 @ a183 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( ~ ( c3_1 @ a183 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf('163',plain,
( hskp24
| hskp5
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl140,plain,
( ~ hskp10
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('164',plain,
( ndr1_0
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl160,plain,
( ~ hskp5
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('165',plain,
( ndr1_0
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl180,plain,
( ~ hskp0
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( ndr1_0
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl180]) ).
thf(zip_derived_cl2,plain,
( hskp10
| hskp5
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('167',plain,
( hskp0
| hskp10
| hskp5 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf('168',plain,
( ( c0_1 @ a138 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf('169',plain,
( ( c3_1 @ a138 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf('170',plain,
( ~ ( c1_1 @ a138 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl260_079,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl582_080,plain,
( ~ ( c1_1 @ a138 )
<= ~ ( c1_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl859,plain,
( ( ~ ( c3_1 @ a138 )
| ~ ( c0_1 @ a138 ) )
<= ( ~ ( c1_1 @ a138 )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl582]) ).
thf('171',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a138 )
| ( c1_1 @ a138 )
| ~ ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl859]) ).
thf('172',plain,
( ( c1_1 @ a131 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp5
| ( c3_1 @ a131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('173',plain,
( ( c3_1 @ a131 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf('174',plain,
( ~ ( c2_1 @ a131 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl618_081,plain,
( ( c1_1 @ a131 )
<= ( c1_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl229_082,plain,
( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1525,plain,
( ( ( c2_1 @ a131 )
| ~ ( c3_1 @ a131 ) )
<= ( ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a131 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl618,zip_derived_cl229]) ).
thf('175',plain,
( ~ ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c1_1 @ a131 )
| ( c2_1 @ a131 )
| ~ ( c3_1 @ a131 ) ),
inference(split,[status(esa)],[zip_derived_cl1525]) ).
thf('176',plain,
( ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) )
| ! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ! [X43: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl121,plain,
( ~ hskp15
| ( c3_1 @ a149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('177',plain,
( ( c3_1 @ a149 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf('178',plain,
( ~ ( c1_1 @ a149 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('179',plain,
( ~ ( c2_1 @ a149 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl309_083,plain,
( ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) )
<= ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl540_084,plain,
( ~ ( c1_1 @ a149 )
<= ~ ( c1_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1379,plain,
( ( ~ ( c3_1 @ a149 )
| ( c2_1 @ a149 ) )
<= ( ~ ( c1_1 @ a149 )
& ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl540]) ).
thf('180',plain,
( ~ ( c3_1 @ a149 )
| ( c1_1 @ a149 )
| ~ ! [X44: $i] :
( ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c3_1 @ X44 ) )
| ( c2_1 @ a149 ) ),
inference(split,[status(esa)],[zip_derived_cl1379]) ).
thf('181',plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| hskp15
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl117,plain,
( ~ hskp16
| ( c0_1 @ a151 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('182',plain,
( ( c0_1 @ a151 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf('183',plain,
( ( c1_1 @ a151 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp16
| ~ ( c2_1 @ a151 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('184',plain,
( ~ ( c2_1 @ a151 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl532_085,plain,
( ( c1_1 @ a151 )
<= ( c1_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl245_086,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1415,plain,
( ( ( c2_1 @ a151 )
| ~ ( c0_1 @ a151 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
& ( c1_1 @ a151 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl245]) ).
thf('185',plain,
( ~ ( c1_1 @ a151 )
| ( c2_1 @ a151 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 ) )
| ~ ( c0_1 @ a151 ) ),
inference(split,[status(esa)],[zip_derived_cl1415]) ).
thf(zip_derived_cl15,plain,
! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 )
| ~ ndr1_0
| hskp16
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('186',plain,
( hskp23
| hskp16
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl89,plain,
( ~ hskp23
| ( c1_1 @ a181 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('187',plain,
( ( c1_1 @ a181 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl474,plain,
( ( c1_1 @ a181 )
<= ( c1_1 @ a181 ) ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl313_087,plain,
( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
<= ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl1493,plain,
( ( ( c0_1 @ a181 )
| ~ ( c2_1 @ a181 ) )
<= ( ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
& ( c1_1 @ a181 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl313]) ).
thf('188',plain,
( ~ ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
| ~ ( c1_1 @ a181 )
| ~ ( c2_1 @ a181 )
| ( c0_1 @ a181 ) ),
inference(split,[status(esa)],[zip_derived_cl1493]) ).
thf('189',plain,
( hskp18
| ! [X46: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl109,plain,
( ~ hskp18
| ( c0_1 @ a159 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('190',plain,
( ( c0_1 @ a159 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl110,plain,
( ~ hskp18
| ~ ( c2_1 @ a159 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('191',plain,
( ~ ( c2_1 @ a159 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp18
| ~ ( c3_1 @ a159 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('192',plain,
( ~ ( c3_1 @ a159 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl252_088,plain,
( ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
<= ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl516,plain,
( ~ ( c2_1 @ a159 )
<= ~ ( c2_1 @ a159 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl792,plain,
( ( ~ ( c0_1 @ a159 )
| ( c3_1 @ a159 ) )
<= ( ~ ( c2_1 @ a159 )
& ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl516]) ).
thf('193',plain,
( ~ ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| ( c2_1 @ a159 )
| ( c3_1 @ a159 )
| ~ ( c0_1 @ a159 ) ),
inference(split,[status(esa)],[zip_derived_cl792]) ).
thf(zip_derived_cl20,plain,
! [X18: $i,X19: $i] :
( ( c2_1 @ X18 )
| ( c3_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ndr1_0
| ( c2_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c3_1 @ X19 )
| ~ ndr1_0
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('194',plain,
( ! [X17: $i] :
( ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 ) )
| hskp17
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl7783,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','194']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN442+1 : TPTP v9.2.0. Released v2.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Q3bqTsIT2c true
% 0.14/0.34 % Computer : n007.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 : Wed Oct 1 13:38:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.66/2.27 % Solved by fo/fo1_av.sh.
% 11.66/2.27 % done 2063 iterations in 1.423s
% 11.66/2.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.66/2.27 % SZS output start Refutation
% See solution above
% 11.66/2.28
% 11.66/2.28
% 11.66/2.28 % Terminating...
% 12.22/2.37 % Runner terminated.
% 12.22/2.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------