TSTP Solution File: SYN444+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN444+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EaCNaOZUnT true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:03:32 EDT 2023
% Result : Theorem 6.41s 1.58s
% Output : Refutation 6.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 64
% Syntax : Number of formulae : 662 ( 1 unt; 63 typ; 0 def)
% Number of atoms : 4241 ( 0 equ; 0 cnn)
% Maximal formula atoms : 614 ( 7 avg)
% Number of connectives : 9388 (2348 ~;2633 |; 517 &;3398 @)
% ( 0 <=>; 194 =>; 298 <=; 0 <~>)
% Maximal formula depth : 92 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 63 usr; 60 con; 0-1 aty)
% Number of variables : 823 ( 0 ^; 823 !; 0 ?; 823 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a216_type,type,
a216: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a230_type,type,
a230: $i ).
thf(a278_type,type,
a278: $i ).
thf(a246_type,type,
a246: $i ).
thf(a239_type,type,
a239: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a213_type,type,
a213: $i ).
thf(a221_type,type,
a221: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a214_type,type,
a214: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a218_type,type,
a218: $i ).
thf(a252_type,type,
a252: $i ).
thf(a263_type,type,
a263: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a229_type,type,
a229: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a228_type,type,
a228: $i ).
thf(a235_type,type,
a235: $i ).
thf(a247_type,type,
a247: $i ).
thf(a260_type,type,
a260: $i ).
thf(a223_type,type,
a223: $i ).
thf(a243_type,type,
a243: $i ).
thf(a238_type,type,
a238: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a259_type,type,
a259: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a224_type,type,
a224: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a288_type,type,
a288: $i ).
thf(a225_type,type,
a225: $i ).
thf(a236_type,type,
a236: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a237_type,type,
a237: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a220_type,type,
a220: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a282_type,type,
a282: $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(a215_type,type,
a215: $i ).
thf(a232_type,type,
a232: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a213 )
& ( c3_1 @ a213 )
& ~ ( c2_1 @ a213 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a214 )
& ( c2_1 @ a214 )
& ~ ( c0_1 @ a214 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a215 )
& ~ ( c0_1 @ a215 )
& ~ ( c1_1 @ a215 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c3_1 @ a216 )
& ~ ( c0_1 @ a216 )
& ~ ( c2_1 @ a216 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a218 )
& ~ ( c0_1 @ a218 )
& ~ ( c1_1 @ a218 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a220 )
& ~ ( c0_1 @ a220 )
& ~ ( c3_1 @ a220 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a221 )
& ( c1_1 @ a221 )
& ~ ( c2_1 @ a221 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a224 )
& ( c3_1 @ a224 )
& ~ ( c1_1 @ a224 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a225 )
& ~ ( c2_1 @ a225 )
& ~ ( c3_1 @ a225 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a228 )
& ~ ( c1_1 @ a228 )
& ~ ( c2_1 @ a228 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c2_1 @ a229 )
& ( c3_1 @ a229 )
& ~ ( c0_1 @ a229 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a230 )
& ( c3_1 @ a230 )
& ~ ( c1_1 @ a230 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a235 )
& ~ ( c1_1 @ a235 )
& ~ ( c3_1 @ a235 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a236 )
& ~ ( c2_1 @ a236 )
& ~ ( c3_1 @ a236 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a237 )
& ( c2_1 @ a237 )
& ~ ( c1_1 @ a237 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a238 )
& ( c2_1 @ a238 )
& ~ ( c3_1 @ a238 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a239 )
& ( c2_1 @ a239 )
& ~ ( c3_1 @ a239 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a243 )
& ~ ( c1_1 @ a243 )
& ~ ( c2_1 @ a243 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a247 )
& ( c3_1 @ a247 )
& ~ ( c2_1 @ a247 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a252 )
& ~ ( c2_1 @ a252 )
& ~ ( c3_1 @ a252 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c0_1 @ a259 )
& ( c1_1 @ a259 )
& ~ ( c3_1 @ a259 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a260 )
& ~ ( c0_1 @ a260 )
& ~ ( c2_1 @ a260 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c1_1 @ a263 )
& ( c3_1 @ a263 )
& ~ ( c0_1 @ a263 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a278 )
& ~ ( c2_1 @ a278 )
& ~ ( c3_1 @ a278 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a282 )
& ~ ( c1_1 @ a282 )
& ~ ( c3_1 @ a282 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a288 )
& ~ ( c0_1 @ a288 )
& ~ ( c3_1 @ a288 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a223 )
& ( c2_1 @ a223 )
& ( c3_1 @ a223 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a232 )
& ( c2_1 @ a232 )
& ( c3_1 @ a232 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a246 )
& ( c1_1 @ a246 )
& ( c2_1 @ a246 ) ) )
& ( ! [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
=> ( ~ ( c0_1 @ W )
| ~ ( c1_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c2_1 @ Y )
| ~ ( c0_1 @ Y )
| ~ ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) )
| hskp1 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| hskp2
| hskp3 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ) )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| hskp1
| hskp4 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) )
| hskp3 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c1_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c2_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 ) ) )
| hskp5 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ( c3_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp6 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c2_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) )
| hskp0 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c3_1 @ X24 )
| ~ ( c1_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) )
| hskp26 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| hskp7 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ( c3_1 @ X27 ) ) )
| hskp8
| hskp0 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) )
| hskp1
| hskp9 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp10
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) ) )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c1_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ( c2_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c0_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c1_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| hskp4 )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c1_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c3_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) ) )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ~ ( c0_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp27 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp9 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c3_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ) )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| hskp10
| hskp12 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp13 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| hskp14
| hskp15 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| hskp16
| hskp2 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp6 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c2_1 @ X58 )
| ( c3_1 @ X58 ) ) )
| ! [X59: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp0 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp17 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| hskp11 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ~ ( c1_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| hskp26 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c2_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| hskp28 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| hskp18 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) )
| hskp28
| hskp15 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp28
| hskp18 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) )
| hskp19 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c0_1 @ X75 ) ) )
| hskp27 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ( c3_1 @ X76 )
| ~ ( c0_1 @ X76 ) ) )
| hskp15
| hskp0 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| hskp26 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c1_1 @ X79 ) ) )
| hskp6
| hskp18 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 ) ) )
| hskp20
| hskp21 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp20
| hskp13 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp22
| hskp12 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c3_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp3 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c3_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp8
| hskp3 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c0_1 @ X86 )
| ~ ( c1_1 @ X86 ) ) )
| hskp0
| hskp12 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c1_1 @ X87 ) ) )
| hskp4
| hskp13 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c3_1 @ X88 )
| ~ ( c0_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) )
| hskp27 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X89 )
| ~ ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X90 )
| ~ ( c1_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp20 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) )
| hskp5
| hskp3 )
& ( hskp20
| hskp18
| hskp23 )
& ( hskp15
| hskp7
| hskp11 )
& ( hskp24
| hskp8
| hskp10 )
& ( hskp16
| hskp9
| hskp23 )
& ( hskp25
| hskp2
| hskp3 )
& ( hskp10
| hskp11
| hskp13 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a213 )
& ( c3_1 @ a213 )
& ~ ( c2_1 @ a213 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a214 )
& ( c2_1 @ a214 )
& ~ ( c0_1 @ a214 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a215 )
& ~ ( c0_1 @ a215 )
& ~ ( c1_1 @ a215 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c3_1 @ a216 )
& ~ ( c0_1 @ a216 )
& ~ ( c2_1 @ a216 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a218 )
& ~ ( c0_1 @ a218 )
& ~ ( c1_1 @ a218 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a220 )
& ~ ( c0_1 @ a220 )
& ~ ( c3_1 @ a220 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a221 )
& ( c1_1 @ a221 )
& ~ ( c2_1 @ a221 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a224 )
& ( c3_1 @ a224 )
& ~ ( c1_1 @ a224 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a225 )
& ~ ( c2_1 @ a225 )
& ~ ( c3_1 @ a225 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c3_1 @ a228 )
& ~ ( c1_1 @ a228 )
& ~ ( c2_1 @ a228 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c2_1 @ a229 )
& ( c3_1 @ a229 )
& ~ ( c0_1 @ a229 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a230 )
& ( c3_1 @ a230 )
& ~ ( c1_1 @ a230 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a235 )
& ~ ( c1_1 @ a235 )
& ~ ( c3_1 @ a235 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a236 )
& ~ ( c2_1 @ a236 )
& ~ ( c3_1 @ a236 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c0_1 @ a237 )
& ( c2_1 @ a237 )
& ~ ( c1_1 @ a237 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a238 )
& ( c2_1 @ a238 )
& ~ ( c3_1 @ a238 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a239 )
& ( c2_1 @ a239 )
& ~ ( c3_1 @ a239 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a243 )
& ~ ( c1_1 @ a243 )
& ~ ( c2_1 @ a243 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a247 )
& ( c3_1 @ a247 )
& ~ ( c2_1 @ a247 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a252 )
& ~ ( c2_1 @ a252 )
& ~ ( c3_1 @ a252 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c0_1 @ a259 )
& ( c1_1 @ a259 )
& ~ ( c3_1 @ a259 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a260 )
& ~ ( c0_1 @ a260 )
& ~ ( c2_1 @ a260 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c1_1 @ a263 )
& ( c3_1 @ a263 )
& ~ ( c0_1 @ a263 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a278 )
& ~ ( c2_1 @ a278 )
& ~ ( c3_1 @ a278 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a282 )
& ~ ( c1_1 @ a282 )
& ~ ( c3_1 @ a282 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a288 )
& ~ ( c0_1 @ a288 )
& ~ ( c3_1 @ a288 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a223 )
& ( c2_1 @ a223 )
& ( c3_1 @ a223 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a232 )
& ( c2_1 @ a232 )
& ( c3_1 @ a232 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a246 )
& ( c1_1 @ a246 )
& ( c2_1 @ a246 ) ) )
& ( ! [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
=> ( ~ ( c0_1 @ W )
| ~ ( c1_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c3_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c2_1 @ Y )
| ~ ( c0_1 @ Y )
| ~ ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) )
| hskp1 )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| hskp2
| hskp3 )
& ( ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) )
| ! [X4: $i] :
( ndr1_0
=> ( ( c1_1 @ X4 )
| ( c3_1 @ X4 )
| ~ ( c2_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c2_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 ) ) ) )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| hskp1
| hskp4 )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) )
| hskp3 )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c1_1 @ X10 )
| ( c3_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c2_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c2_1 @ X13 ) ) )
| hskp5 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| ! [X18: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X18 )
| ~ ( c2_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) )
& ( ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ( c2_1 @ X19 )
| ( c3_1 @ X19 ) ) )
| ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp6 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c2_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c0_1 @ X22 ) ) )
| hskp0 )
& ( ! [X23: $i] :
( ndr1_0
=> ( ( c0_1 @ X23 )
| ( c2_1 @ X23 )
| ( c3_1 @ X23 ) ) )
| ! [X24: $i] :
( ndr1_0
=> ( ( c3_1 @ X24 )
| ~ ( c1_1 @ X24 )
| ~ ( c2_1 @ X24 ) ) )
| hskp26 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| hskp7 )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ( c3_1 @ X27 ) ) )
| hskp8
| hskp0 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) )
| hskp1
| hskp9 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp10
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c1_1 @ X31 )
| ( c2_1 @ X31 )
| ~ ( c0_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) ) )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c1_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ( c2_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c0_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c1_1 @ X36 ) ) )
| ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| hskp4 )
& ( ! [X38: $i] :
( ndr1_0
=> ( ( c0_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c1_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c3_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) ) )
& ( ! [X41: $i] :
( ndr1_0
=> ( ( c0_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c2_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ( c1_1 @ X42 )
| ~ ( c0_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp27 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp9 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| ! [X46: $i] :
( ndr1_0
=> ( ( c1_1 @ X46 )
| ( c3_1 @ X46 )
| ~ ( c0_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c1_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ) )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| hskp10
| hskp12 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp13 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| hskp14
| hskp15 )
& ( ! [X52: $i] :
( ndr1_0
=> ( ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ( c3_1 @ X52 ) ) )
| hskp16
| hskp2 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c2_1 @ X54 )
| ~ ( c0_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) ) )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c2_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| hskp6 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c1_1 @ X58 )
| ( c2_1 @ X58 )
| ( c3_1 @ X58 ) ) )
| ! [X59: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp0 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| hskp17 )
& ( ! [X62: $i] :
( ndr1_0
=> ( ( c1_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c0_1 @ X62 ) ) )
| ! [X63: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| hskp11 )
& ( ! [X64: $i] :
( ndr1_0
=> ( ( c1_1 @ X64 )
| ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| ! [X65: $i] :
( ndr1_0
=> ( ( c2_1 @ X65 )
| ~ ( c1_1 @ X65 )
| ~ ( c3_1 @ X65 ) ) )
| hskp26 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c3_1 @ X66 )
| ~ ( c2_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c2_1 @ X67 )
| ~ ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 ) ) )
| hskp28 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c2_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ( c2_1 @ X69 )
| ~ ( c1_1 @ X69 )
| ~ ( c3_1 @ X69 ) ) )
| hskp18 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) )
| hskp28
| hskp15 )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp28
| hskp18 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ~ ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) )
| hskp19 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ~ ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c0_1 @ X75 ) ) )
| hskp27 )
& ( ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ( c3_1 @ X76 )
| ~ ( c0_1 @ X76 ) ) )
| hskp15
| hskp0 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c2_1 @ X77 )
| ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 ) ) )
| ! [X78: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X78 )
| ~ ( c2_1 @ X78 )
| ~ ( c3_1 @ X78 ) ) )
| hskp26 )
& ( ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c1_1 @ X79 ) ) )
| hskp6
| hskp18 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c0_1 @ X80 )
| ~ ( c1_1 @ X80 ) ) )
| hskp20
| hskp21 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c2_1 @ X81 )
| ~ ( c1_1 @ X81 )
| ~ ( c3_1 @ X81 ) ) )
| hskp20
| hskp13 )
& ( ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp22
| hskp12 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c3_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c1_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp3 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c3_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c1_1 @ X85 ) ) )
| hskp8
| hskp3 )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c0_1 @ X86 )
| ~ ( c1_1 @ X86 ) ) )
| hskp0
| hskp12 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c3_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c1_1 @ X87 ) ) )
| hskp4
| hskp13 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c3_1 @ X88 )
| ~ ( c0_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) )
| hskp27 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X89 )
| ~ ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X90 )
| ~ ( c1_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp20 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) )
| hskp5
| hskp3 )
& ( hskp20
| hskp18
| hskp23 )
& ( hskp15
| hskp7
| hskp11 )
& ( hskp24
| hskp8
| hskp10 )
& ( hskp16
| hskp9
| hskp23 )
& ( hskp25
| hskp2
| hskp3 )
& ( hskp10
| hskp11
| hskp13 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl163,plain,
( ~ hskp3
| ~ ( c2_1 @ a216 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl614,plain,
( ~ ( c2_1 @ a216 )
<= ~ ( c2_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl13,plain,
! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 )
| ~ ndr1_0
| hskp22
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl779,plain,
( ( ~ ( c1_1 @ a216 )
| ~ ( c3_1 @ a216 ) )
<= ( ~ ( c2_1 @ a216 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl221]) ).
thf('0',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c1_1 @ a216 )
| ( c2_1 @ a216 )
| ~ ( c3_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl779]) ).
thf(zip_derived_cl29,plain,
! [X34: $i,X35: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 )
| ~ ndr1_0
| ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl139,plain,
( ~ hskp9
| ~ ( c2_1 @ a228 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl566,plain,
( ~ ( c2_1 @ a228 )
<= ~ ( c2_1 @ a228 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1191,plain,
( ( ~ ( c3_1 @ a228 )
| ~ ( c0_1 @ a228 ) )
<= ( ~ ( c2_1 @ a228 )
& ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl566]) ).
thf('1',plain,
( ( c2_1 @ a228 )
| ~ ( c0_1 @ a228 )
| ~ ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ( c3_1 @ a228 ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf(zip_derived_cl137,plain,
( ~ hskp9
| ( c3_1 @ a228 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( c3_1 @ a228 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf('3',plain,
( ~ ( c2_1 @ a228 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl36,plain,
! [X47: $i,X48: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ndr1_0
| ( c3_1 @ X48 )
| ~ ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( hskp9
| ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl153,plain,
( ~ hskp5
| ( c2_1 @ a220 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl594,plain,
( ( c2_1 @ a220 )
<= ( c2_1 @ a220 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl313,plain,
( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
<= ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1658,plain,
( ( ( c0_1 @ a220 )
| ( c3_1 @ a220 ) )
<= ( ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
& ( c2_1 @ a220 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl313]) ).
thf('5',plain,
( ~ ( c2_1 @ a220 )
| ( c0_1 @ a220 )
| ~ ! [X47: $i] :
( ( c0_1 @ X47 )
| ( c3_1 @ X47 )
| ~ ( c2_1 @ X47 ) )
| ( c3_1 @ a220 ) ),
inference(split,[status(esa)],[zip_derived_cl1658]) ).
thf('6',plain,
( ( c2_1 @ a220 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp5
| ~ ( c0_1 @ a220 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( ~ ( c0_1 @ a220 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl155,plain,
( ~ hskp5
| ~ ( c3_1 @ a220 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ~ ( c3_1 @ a220 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl51,plain,
! [X78: $i,X79: $i] :
( ( c0_1 @ X78 )
| ( c1_1 @ X78 )
| ~ ( c3_1 @ X78 )
| ~ ndr1_0
| ( c1_1 @ X79 )
| ~ ( c0_1 @ X79 )
| ~ ( c2_1 @ X79 )
| ~ ndr1_0
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('9',plain,
( hskp5
| ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl58,plain,
! [X92: $i,X93: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ( c3_1 @ X92 )
| ~ ndr1_0
| ( c2_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c3_1 @ X93 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('10',plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 ) )
| ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ndr1_0
| hskp0 ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf(zip_derived_cl27,plain,
! [X30: $i,X31: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ndr1_0
| ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ( c3_1 @ X31 )
| ~ ndr1_0
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl278,plain,
( ! [X30: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 ) )
<= ! [X30: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl122,plain,
( ~ hskp13
| ~ ( c2_1 @ a236 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl532,plain,
( ~ ( c2_1 @ a236 )
<= ~ ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1140,plain,
( ( ( c3_1 @ a236 )
| ( c1_1 @ a236 ) )
<= ( ~ ( c2_1 @ a236 )
& ! [X30: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl532]) ).
thf('11',plain,
( ~ ! [X30: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 ) )
| ( c1_1 @ a236 )
| ( c2_1 @ a236 )
| ( c3_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl1140]) ).
thf(zip_derived_cl56,plain,
! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 )
| ~ ndr1_0
| hskp2
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl392,plain,
( ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 ) )
<= ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl126,plain,
( ~ hskp12
| ~ ( c1_1 @ a235 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl540,plain,
( ~ ( c1_1 @ a235 )
<= ~ ( c1_1 @ a235 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl1938,plain,
( ( ( c3_1 @ a235 )
| ( c0_1 @ a235 ) )
<= ( ~ ( c1_1 @ a235 )
& ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl540]) ).
thf('12',plain,
( ( c0_1 @ a235 )
| ~ ! [X89: $i] :
( ( c0_1 @ X89 )
| ( c1_1 @ X89 )
| ( c3_1 @ X89 ) )
| ( c1_1 @ a235 )
| ( c3_1 @ a235 ) ),
inference(split,[status(esa)],[zip_derived_cl1938]) ).
thf(zip_derived_cl28,plain,
! [X32: $i,X33: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ( c3_1 @ X32 )
| ~ ndr1_0
| ~ ( c0_1 @ X33 )
| ~ ( c2_1 @ X33 )
| ~ ( c3_1 @ X33 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| hskp0
| ~ ndr1_0
| ! [X30: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ( c3_1 @ X30 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl125,plain,
( ~ hskp12
| ~ ( c0_1 @ a235 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ~ ( c0_1 @ a235 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('15',plain,
( ~ ( c1_1 @ a235 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl127,plain,
( ~ hskp12
| ~ ( c3_1 @ a235 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( ~ ( c3_1 @ a235 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl10,plain,
! [X5: $i] :
( ( c3_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ndr1_0
| hskp0
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('17',plain,
( hskp12
| hskp0
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl40,plain,
! [X56: $i,X57: $i,X58: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 )
| ~ ndr1_0
| ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 )
| ~ ndr1_0
| ( c2_1 @ X58 )
| ( c3_1 @ X58 )
| ~ ( c0_1 @ X58 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
( ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
<= ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl566_001,plain,
( ~ ( c2_1 @ a228 )
<= ~ ( c2_1 @ a228 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1743,plain,
( ( ~ ( c3_1 @ a228 )
| ( c0_1 @ a228 ) )
<= ( ~ ( c2_1 @ a228 )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl566]) ).
thf('18',plain,
( ( c0_1 @ a228 )
| ( c2_1 @ a228 )
| ~ ( c3_1 @ a228 )
| ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1743]) ).
thf(zip_derived_cl118,plain,
( ~ hskp14
| ( c2_1 @ a237 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl524,plain,
( ( c2_1 @ a237 )
<= ( c2_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl19,plain,
! [X16: $i,X17: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 )
| ~ ndr1_0
| ( c2_1 @ X17 )
| ( c3_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl246,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1411,plain,
( ( ( c1_1 @ a237 )
| ~ ( c3_1 @ a237 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c2_1 @ a237 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl246]) ).
thf('19',plain,
( ~ ( c3_1 @ a237 )
| ( c1_1 @ a237 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c2_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl1411]) ).
thf(zip_derived_cl121,plain,
( ~ hskp13
| ~ ( c1_1 @ a236 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('20',plain,
( ~ ( c1_1 @ a236 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl11,plain,
! [X6: $i] :
( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ndr1_0
| hskp8
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( hskp8
| hskp3
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl62,plain,
( ~ hskp28
| ( c1_1 @ a246 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl412,plain,
( ( c1_1 @ a246 )
<= ( c1_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl7,plain,
! [X1: $i,X2: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ndr1_0
| ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1164,plain,
( ( ~ ( c0_1 @ a246 )
| ~ ( c3_1 @ a246 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c1_1 @ a246 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl198]) ).
thf('22',plain,
( ~ ( c3_1 @ a246 )
| ~ ( c1_1 @ a246 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c0_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl1164]) ).
thf(zip_derived_cl412_002,plain,
( ( c1_1 @ a246 )
<= ( c1_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl9,plain,
! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ndr1_0
| hskp4
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl205,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1165,plain,
( ( ( c3_1 @ a246 )
| ~ ( c0_1 @ a246 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a246 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl205]) ).
thf('23',plain,
( ( c3_1 @ a246 )
| ~ ( c0_1 @ a246 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c1_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl1165]) ).
thf(zip_derived_cl38,plain,
! [X51: $i,X52: $i,X53: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ndr1_0
| ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 )
| ~ ndr1_0
| ~ ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) )
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl97,plain,
( ~ hskp19
| ( c1_1 @ a252 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl482,plain,
( ( c1_1 @ a252 )
<= ( c1_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl323,plain,
( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) )
<= ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1681,plain,
( ( ( c0_1 @ a252 )
| ( c3_1 @ a252 ) )
<= ( ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) )
& ( c1_1 @ a252 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl323]) ).
thf('25',plain,
( ( c0_1 @ a252 )
| ~ ( c1_1 @ a252 )
| ~ ! [X51: $i] :
( ( c0_1 @ X51 )
| ( c3_1 @ X51 )
| ~ ( c1_1 @ X51 ) )
| ( c3_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl1681]) ).
thf(zip_derived_cl50,plain,
! [X76: $i,X77: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 )
| ~ ndr1_0
| ~ ( c0_1 @ X77 )
| ~ ( c1_1 @ X77 )
| ~ ( c3_1 @ X77 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl846,plain,
( ~ ( c1_1 @ a216 )
<= ~ ( c1_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl779]) ).
thf(zip_derived_cl1827,plain,
( ( ~ ( c3_1 @ a216 )
| ( c0_1 @ a216 ) )
<= ( ~ ( c1_1 @ a216 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl846]) ).
thf('26',plain,
( ( c1_1 @ a216 )
| ( c0_1 @ a216 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ~ ( c3_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl1827]) ).
thf(zip_derived_cl25,plain,
! [X26: $i,X27: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 )
| ~ ndr1_0
| ( c2_1 @ X27 )
| ~ ( c1_1 @ X27 )
| ~ ( c3_1 @ X27 )
| ~ ndr1_0
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl270,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl614_003,plain,
( ~ ( c2_1 @ a216 )
<= ~ ( c2_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl1022,plain,
( ( ~ ( c3_1 @ a216 )
| ( c1_1 @ a216 ) )
<= ( ~ ( c2_1 @ a216 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl614]) ).
thf(zip_derived_cl2466,plain,
( ( c1_1 @ a216 )
<= ( c1_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl1022]) ).
thf(zip_derived_cl31,plain,
! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 )
| ~ ndr1_0
| hskp16
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl293,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl2476,plain,
( ( ( c0_1 @ a216 )
| ~ ( c3_1 @ a216 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c1_1 @ a216 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2466,zip_derived_cl293]) ).
thf('27',plain,
( ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ( c1_1 @ a216 )
| ( c0_1 @ a216 )
| ~ ( c3_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl2476]) ).
thf(zip_derived_cl26,plain,
! [X28: $i,X29: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ndr1_0
| ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('28',plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
| ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ~ ndr1_0
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl173,plain,
( ~ hskp0
| ( c1_1 @ a213 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl634,plain,
( ( c1_1 @ a213 )
<= ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl293_004,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl1552,plain,
( ( ( c0_1 @ a213 )
| ~ ( c3_1 @ a213 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c1_1 @ a213 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl293]) ).
thf('29',plain,
( ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ( c0_1 @ a213 )
| ~ ( c3_1 @ a213 )
| ~ ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl1552]) ).
thf(zip_derived_cl114,plain,
( ~ hskp15
| ( c2_1 @ a238 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl516,plain,
( ( c2_1 @ a238 )
<= ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl21,plain,
! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ndr1_0
| hskp28
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1394,plain,
( ( ( c1_1 @ a238 )
| ~ ( c0_1 @ a238 ) )
<= ( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c2_1 @ a238 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl253]) ).
thf('30',plain,
( ( c1_1 @ a238 )
| ~ ( c0_1 @ a238 )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl1394]) ).
thf(zip_derived_cl15,plain,
! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ndr1_0
| hskp20
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl98,plain,
( ~ hskp19
| ~ ( c2_1 @ a252 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl484,plain,
( ~ ( c2_1 @ a252 )
<= ~ ( c2_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl724,plain,
( ( ~ ( c1_1 @ a252 )
| ~ ( c0_1 @ a252 ) )
<= ( ~ ( c2_1 @ a252 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl484]) ).
thf('31',plain,
( ~ ( c1_1 @ a252 )
| ~ ( c0_1 @ a252 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ( c2_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl724]) ).
thf(zip_derived_cl66,plain,
( ~ hskp27
| ( c2_1 @ a232 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl420,plain,
( ( c2_1 @ a232 )
<= ( c2_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl273,plain,
( ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
<= ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl1231,plain,
( ( ~ ( c0_1 @ a232 )
| ~ ( c3_1 @ a232 ) )
<= ( ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
& ( c2_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl273]) ).
thf('32',plain,
( ~ ( c2_1 @ a232 )
| ~ ( c0_1 @ a232 )
| ~ ! [X29: $i] :
( ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 ) )
| ~ ( c3_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl1231]) ).
thf(zip_derived_cl117,plain,
( ~ hskp14
| ( c0_1 @ a237 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('33',plain,
( ( c0_1 @ a237 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf('34',plain,
( ( c2_1 @ a237 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp14
| ~ ( c1_1 @ a237 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( ~ ( c1_1 @ a237 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl32,plain,
! [X40: $i] :
( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| hskp14
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('36',plain,
( hskp14
| hskp15
| ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl133,plain,
( ~ hskp10
| ( c2_1 @ a229 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl554,plain,
( ( c2_1 @ a229 )
<= ( c2_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp5
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,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_cl6]) ).
thf(zip_derived_cl1426,plain,
( ( ~ ( c1_1 @ a229 )
| ~ ( c3_1 @ a229 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a229 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl194]) ).
thf(zip_derived_cl2320,plain,
( ~ ( c1_1 @ a229 )
<= ~ ( c1_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl1426]) ).
thf(zip_derived_cl370_005,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl2324,plain,
( ( ( c0_1 @ a229 )
| ~ ( c3_1 @ a229 ) )
<= ( ~ ( c1_1 @ a229 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2320,zip_derived_cl370]) ).
thf('37',plain,
( ( c1_1 @ a229 )
| ( c0_1 @ a229 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ~ ( c3_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl2324]) ).
thf(zip_derived_cl42,plain,
! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ndr1_0
| hskp10
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl337,plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
<= ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl91,plain,
( ~ hskp21
| ~ ( c2_1 @ a260 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl470,plain,
( ~ ( c2_1 @ a260 )
<= ~ ( c2_1 @ a260 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl1792,plain,
( ( ~ ( c1_1 @ a260 )
| ( c0_1 @ a260 ) )
<= ( ~ ( c2_1 @ a260 )
& ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl470]) ).
thf('38',plain,
( ~ ( c1_1 @ a260 )
| ( c2_1 @ a260 )
| ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ( c0_1 @ a260 ) ),
inference(split,[status(esa)],[zip_derived_cl1792]) ).
thf(zip_derived_cl89,plain,
( ~ hskp21
| ( c1_1 @ a260 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('39',plain,
( ( c1_1 @ a260 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf(zip_derived_cl90,plain,
( ~ hskp21
| ~ ( c0_1 @ a260 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( ~ hskp21
| ~ ( c0_1 @ a260 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('41',plain,
( ~ hskp21
| ~ ( c2_1 @ a260 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf('42',plain,
( hskp20
| hskp21
| ~ ndr1_0
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl331_006,plain,
( ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
<= ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl286,plain,
( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1734,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ( c0_1 @ X0 )
| ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl286]) ).
thf(zip_derived_cl1767,plain,
( ! [X0: $i] :
( ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1734]) ).
thf(zip_derived_cl634_007,plain,
( ( c1_1 @ a213 )
<= ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl229_008,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl199,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl720,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl199]) ).
thf(zip_derived_cl733,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl720]) ).
thf(zip_derived_cl1549,plain,
( ~ ( c0_1 @ a213 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ( c1_1 @ a213 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl733]) ).
thf(zip_derived_cl3061,plain,
( ~ ( c3_1 @ a213 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
& ( c1_1 @ a213 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1767,zip_derived_cl1549]) ).
thf(zip_derived_cl18,plain,
! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ndr1_0
| hskp15
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl175,plain,
( ~ hskp0
| ~ ( c2_1 @ a213 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl638,plain,
( ~ ( c2_1 @ a213 )
<= ~ ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl806,plain,
( ( ~ ( c0_1 @ a213 )
| ( c3_1 @ a213 ) )
<= ( ~ ( c2_1 @ a213 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl638]) ).
thf(zip_derived_cl875,plain,
( ( c3_1 @ a213 )
<= ( c3_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf('43',plain,
( ~ ( c3_1 @ a213 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c1_1 @ a213 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3061,zip_derived_cl875]) ).
thf(zip_derived_cl285_009,plain,
( ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl103,plain,
( ~ hskp18
| ~ ( c2_1 @ a247 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl494,plain,
( ~ ( c2_1 @ a247 )
<= ~ ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1194,plain,
( ( ~ ( c3_1 @ a247 )
| ~ ( c0_1 @ a247 ) )
<= ( ~ ( c2_1 @ a247 )
& ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl494]) ).
thf('44',plain,
( ~ ( c0_1 @ a247 )
| ( c2_1 @ a247 )
| ~ ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| ~ ( c3_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl1194]) ).
thf('45',plain,
( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ! [X35: $i] :
( ( c2_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ( c3_1 @ X35 ) )
| hskp6
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl241_010,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl484_011,plain,
( ~ ( c2_1 @ a252 )
<= ~ ( c2_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl814,plain,
( ( ~ ( c0_1 @ a252 )
| ( c3_1 @ a252 ) )
<= ( ~ ( c2_1 @ a252 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl484]) ).
thf('46',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ( c2_1 @ a252 )
| ( c3_1 @ a252 )
| ~ ( c0_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl814]) ).
thf(zip_derived_cl420_012,plain,
( ( c2_1 @ a232 )
<= ( c2_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl199_013,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1226,plain,
( ( ~ ( c0_1 @ a232 )
| ~ ( c1_1 @ a232 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c2_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl199]) ).
thf('47',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c1_1 @ a232 )
| ~ ( c0_1 @ a232 )
| ~ ( c2_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl1226]) ).
thf(zip_derived_cl241_014,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl8,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl202,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl805,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c3_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl202]) ).
thf(zip_derived_cl829,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl93,plain,
( ~ hskp20
| ( c0_1 @ a259 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl474,plain,
( ( c0_1 @ a259 )
<= ( c0_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl2487,plain,
( ( c3_1 @ a259 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a259 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl474]) ).
thf(zip_derived_cl95,plain,
( ~ hskp20
| ~ ( c3_1 @ a259 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl478,plain,
( ~ ( c3_1 @ a259 )
<= ~ ( c3_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf('48',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ( c0_1 @ a259 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ( c3_1 @ a259 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2487,zip_derived_cl478]) ).
thf(zip_derived_cl420_015,plain,
( ( c2_1 @ a232 )
<= ( c2_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl253_016,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1229,plain,
( ( ( c1_1 @ a232 )
| ~ ( c0_1 @ a232 ) )
<= ( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c2_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl253]) ).
thf('49',plain,
( ~ ( c2_1 @ a232 )
| ( c1_1 @ a232 )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ( c0_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl1229]) ).
thf(zip_derived_cl524_017,plain,
( ( c2_1 @ a237 )
<= ( c2_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl253_018,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1412,plain,
( ( ( c1_1 @ a237 )
| ~ ( c0_1 @ a237 ) )
<= ( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c2_1 @ a237 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl253]) ).
thf('50',plain,
( ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ( c2_1 @ a237 )
| ( c1_1 @ a237 )
| ~ ( c0_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl1412]) ).
thf(zip_derived_cl370_019,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl131,plain,
( ~ hskp11
| ~ ( c1_1 @ a230 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl550,plain,
( ~ ( c1_1 @ a230 )
<= ~ ( c1_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1833,plain,
( ( ~ ( c3_1 @ a230 )
| ( c0_1 @ a230 ) )
<= ( ~ ( c1_1 @ a230 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl550]) ).
thf('51',plain,
( ( c0_1 @ a230 )
| ( c1_1 @ a230 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ~ ( c3_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl1833]) ).
thf(zip_derived_cl24,plain,
! [X24: $i,X25: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c2_1 @ X24 )
| ~ ndr1_0
| ( c2_1 @ X25 )
| ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
| hskp28
| ~ ndr1_0
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl638_020,plain,
( ~ ( c2_1 @ a213 )
<= ~ ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl229_021,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl792,plain,
( ( ~ ( c0_1 @ a213 )
| ~ ( c1_1 @ a213 ) )
<= ( ~ ( c2_1 @ a213 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl229]) ).
thf('53',plain,
( ~ ( c0_1 @ a213 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ( c2_1 @ a213 )
| ~ ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl792]) ).
thf(zip_derived_cl20,plain,
! [X18: $i,X19: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 )
| ~ ndr1_0
| ( c1_1 @ X19 )
| ~ ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 )
| ~ ndr1_0
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl250,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl550_022,plain,
( ~ ( c1_1 @ a230 )
<= ~ ( c1_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl892,plain,
( ( ~ ( c3_1 @ a230 )
| ~ ( c0_1 @ a230 ) )
<= ( ~ ( c1_1 @ a230 )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl550]) ).
thf('54',plain,
( ~ ( c0_1 @ a230 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ( c1_1 @ a230 )
| ~ ( c3_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl892]) ).
thf('55',plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ndr1_0
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl516_023,plain,
( ( c2_1 @ a238 )
<= ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl199_024,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1391,plain,
( ( ~ ( c0_1 @ a238 )
| ~ ( c1_1 @ a238 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c2_1 @ a238 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl199]) ).
thf('56',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c1_1 @ a238 )
| ~ ( c0_1 @ a238 )
| ~ ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl1391]) ).
thf(zip_derived_cl516_025,plain,
( ( c2_1 @ a238 )
<= ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl23,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ndr1_0
| ( c2_1 @ X23 )
| ~ ( c1_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl262,plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
<= ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1395,plain,
( ( ( c1_1 @ a238 )
| ( c3_1 @ a238 ) )
<= ( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
& ( c2_1 @ a238 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl262]) ).
thf('57',plain,
( ( c1_1 @ a238 )
| ( c3_1 @ a238 )
| ~ ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
| ~ ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl1395]) ).
thf('58',plain,
( ! [X22: $i] :
( ( c1_1 @ X22 )
| ( c3_1 @ X22 )
| ~ ( c2_1 @ X22 ) )
| hskp18
| ~ ndr1_0
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf('59',plain,
( hskp15
| hskp0
| ~ ndr1_0
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl157,plain,
( ~ hskp4
| ( c3_1 @ a218 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('60',plain,
( ( c3_1 @ a218 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf('61',plain,
( hskp13
| hskp4
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl45,plain,
! [X65: $i,X66: $i] :
( ( c0_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 )
| ~ ndr1_0
| ~ ( c0_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ( c3_1 @ X66 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| hskp7
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl14,plain,
! [X10: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 )
| ~ ndr1_0
| hskp20
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('63',plain,
( hskp20
| hskp13
| ~ ndr1_0
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl829_026,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl113,plain,
( ~ hskp15
| ( c0_1 @ a238 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl514,plain,
( ( c0_1 @ a238 )
<= ( c0_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl2485,plain,
( ( c3_1 @ a238 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a238 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl514]) ).
thf(zip_derived_cl514_027,plain,
( ( c0_1 @ a238 )
<= ( c0_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl250_028,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl198_029,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl882,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl198]) ).
thf(zip_derived_cl926,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl1384,plain,
( ~ ( c3_1 @ a238 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a238 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl926]) ).
thf('64',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ( c0_1 @ a238 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2485,zip_derived_cl1384]) ).
thf(zip_derived_cl22,plain,
! [X21: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c2_1 @ X21 )
| ~ ndr1_0
| hskp28
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('65',plain,
( hskp28
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ndr1_0
| hskp15 ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf('66',plain,
( hskp27
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ndr1_0
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl47,plain,
! [X69: $i,X70: $i] :
( ( c0_1 @ X69 )
| ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ndr1_0
| ( c2_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| hskp0
| ~ ndr1_0
| ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl44,plain,
! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 )
| ~ ndr1_0
| hskp8
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl484_030,plain,
( ~ ( c2_1 @ a252 )
<= ~ ( c2_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl1895,plain,
( ( ( c3_1 @ a252 )
| ( c0_1 @ a252 ) )
<= ( ~ ( c2_1 @ a252 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl484]) ).
thf('68',plain,
( ( c0_1 @ a252 )
| ( c3_1 @ a252 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| ( c2_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl1895]) ).
thf('69',plain,
( ( c1_1 @ a252 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf('70',plain,
( ~ ( c2_1 @ a252 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp19
| ~ ( c3_1 @ a252 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('71',plain,
( ~ ( c3_1 @ a252 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf('72',plain,
( hskp19
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl129,plain,
( ~ hskp11
| ( c2_1 @ a230 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl546,plain,
( ( c2_1 @ a230 )
<= ( c2_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl246_031,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1419,plain,
( ( ( c1_1 @ a230 )
| ~ ( c3_1 @ a230 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c2_1 @ a230 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl246]) ).
thf('73',plain,
( ~ ( c2_1 @ a230 )
| ( c1_1 @ a230 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c3_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl1419]) ).
thf(zip_derived_cl128,plain,
( ~ hskp11
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ndr1_0
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl128]) ).
thf(zip_derived_cl0,plain,
( hskp10
| hskp11
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('75',plain,
( hskp13
| hskp10
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl229_032,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl494_033,plain,
( ~ ( c2_1 @ a247 )
<= ~ ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl723,plain,
( ( ~ ( c1_1 @ a247 )
| ~ ( c0_1 @ a247 ) )
<= ( ~ ( c2_1 @ a247 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl494]) ).
thf('76',plain,
( ~ ( c1_1 @ a247 )
| ( c2_1 @ a247 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl723]) ).
thf('77',plain,
( ~ ( c2_1 @ a247 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl274,plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
<= ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl494_034,plain,
( ~ ( c2_1 @ a247 )
<= ~ ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1099,plain,
( ( ~ ( c0_1 @ a247 )
| ( c1_1 @ a247 ) )
<= ( ~ ( c2_1 @ a247 )
& ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl494]) ).
thf('78',plain,
( ( c1_1 @ a247 )
| ~ ( c0_1 @ a247 )
| ~ ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
| ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl1099]) ).
thf(zip_derived_cl546_035,plain,
( ( c2_1 @ a230 )
<= ( c2_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl253_036,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl1420,plain,
( ( ( c1_1 @ a230 )
| ~ ( c0_1 @ a230 ) )
<= ( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c2_1 @ a230 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl253]) ).
thf('79',plain,
( ~ ( c0_1 @ a230 )
| ( c1_1 @ a230 )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ( c2_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl1420]) ).
thf(zip_derived_cl546_037,plain,
( ( c2_1 @ a230 )
<= ( c2_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl286_038,plain,
( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1423,plain,
( ( ( c0_1 @ a230 )
| ~ ( c3_1 @ a230 ) )
<= ( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ( c2_1 @ a230 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl286]) ).
thf('80',plain,
( ( c0_1 @ a230 )
| ~ ( c2_1 @ a230 )
| ~ ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c3_1 @ a230 ) ),
inference(split,[status(esa)],[zip_derived_cl1423]) ).
thf('81',plain,
( ( c2_1 @ a230 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl130,plain,
( ~ hskp11
| ( c3_1 @ a230 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('82',plain,
( ( c3_1 @ a230 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('83',plain,
( ~ ( c1_1 @ a230 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf('84',plain,
( hskp10
| ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| hskp11
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl337_039,plain,
( ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
<= ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl638_040,plain,
( ~ ( c2_1 @ a213 )
<= ~ ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1783,plain,
( ( ~ ( c1_1 @ a213 )
| ( c0_1 @ a213 ) )
<= ( ~ ( c2_1 @ a213 )
& ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl638]) ).
thf('85',plain,
( ~ ! [X62: $i] :
( ( c0_1 @ X62 )
| ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 ) )
| ( c0_1 @ a213 )
| ( c2_1 @ a213 )
| ~ ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl1783]) ).
thf(zip_derived_cl331_041,plain,
( ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
<= ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl638_042,plain,
( ~ ( c2_1 @ a213 )
<= ~ ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1739,plain,
( ( ~ ( c3_1 @ a213 )
| ( c0_1 @ a213 ) )
<= ( ~ ( c2_1 @ a213 )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl638]) ).
thf('86',plain,
( ( c0_1 @ a213 )
| ~ ( c3_1 @ a213 )
| ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl1739]) ).
thf(zip_derived_cl634_043,plain,
( ( c1_1 @ a213 )
<= ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl198_044,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1550,plain,
( ( ~ ( c0_1 @ a213 )
| ~ ( c3_1 @ a213 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c1_1 @ a213 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl198]) ).
thf('87',plain,
( ~ ( c0_1 @ a213 )
| ~ ( c3_1 @ a213 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl1550]) ).
thf(zip_derived_cl638_045,plain,
( ~ ( c2_1 @ a213 )
<= ~ ( c2_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl221_046,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl791,plain,
( ( ~ ( c1_1 @ a213 )
| ~ ( c3_1 @ a213 ) )
<= ( ~ ( c2_1 @ a213 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl638,zip_derived_cl221]) ).
thf('88',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c3_1 @ a213 )
| ( c2_1 @ a213 )
| ~ ( c1_1 @ a213 ) ),
inference(split,[status(esa)],[zip_derived_cl791]) ).
thf('89',plain,
( ( c1_1 @ a213 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl174,plain,
( ~ hskp0
| ( c3_1 @ a213 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('90',plain,
( ( c3_1 @ a213 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf('91',plain,
( ~ ( c2_1 @ a213 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf('92',plain,
( hskp8
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| ~ ndr1_0
| hskp0 ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl241_047,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl532_048,plain,
( ~ ( c2_1 @ a236 )
<= ~ ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl811,plain,
( ( ~ ( c0_1 @ a236 )
| ( c3_1 @ a236 ) )
<= ( ~ ( c2_1 @ a236 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl532]) ).
thf('93',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ( c0_1 @ a236 )
| ( c3_1 @ a236 )
| ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl811]) ).
thf('94',plain,
( ~ ( c2_1 @ a236 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl123,plain,
( ~ hskp13
| ~ ( c3_1 @ a236 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('95',plain,
( ~ ( c3_1 @ a236 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl345_049,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl532_050,plain,
( ~ ( c2_1 @ a236 )
<= ~ ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1892,plain,
( ( ( c3_1 @ a236 )
| ( c0_1 @ a236 ) )
<= ( ~ ( c2_1 @ a236 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl532]) ).
thf('96',plain,
( ( c0_1 @ a236 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| ( c3_1 @ a236 )
| ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl1892]) ).
thf(zip_derived_cl120,plain,
( ~ hskp13
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ndr1_0
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl120]) ).
thf(zip_derived_cl150,plain,
( ~ hskp6
| ( c1_1 @ a221 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl588,plain,
( ( c1_1 @ a221 )
<= ( c1_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl198_051,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1469,plain,
( ( ~ ( c0_1 @ a221 )
| ~ ( c3_1 @ a221 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c1_1 @ a221 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl198]) ).
thf('98',plain,
( ~ ( c3_1 @ a221 )
| ~ ( c1_1 @ a221 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c0_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl1469]) ).
thf(zip_derived_cl241_052,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl151,plain,
( ~ hskp6
| ~ ( c2_1 @ a221 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl590,plain,
( ~ ( c2_1 @ a221 )
<= ~ ( c2_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl808,plain,
( ( ~ ( c0_1 @ a221 )
| ( c3_1 @ a221 ) )
<= ( ~ ( c2_1 @ a221 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl590]) ).
thf('99',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ( c3_1 @ a221 )
| ( c2_1 @ a221 )
| ~ ( c0_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl808]) ).
thf(zip_derived_cl101,plain,
( ~ hskp18
| ( c0_1 @ a247 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl490,plain,
( ( c0_1 @ a247 )
<= ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl926_053,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl1342,plain,
( ~ ( c3_1 @ a247 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl926]) ).
thf(zip_derived_cl102,plain,
( ~ hskp18
| ( c3_1 @ a247 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl492,plain,
( ( c3_1 @ a247 )
<= ( c3_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf('100',plain,
( ~ ( c0_1 @ a247 )
| ~ ( c3_1 @ a247 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1342,zip_derived_cl492]) ).
thf(zip_derived_cl829_054,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl490_055,plain,
( ( c0_1 @ a247 )
<= ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl2486,plain,
( ( c3_1 @ a247 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl490]) ).
thf(zip_derived_cl490_056,plain,
( ( c0_1 @ a247 )
<= ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl221_057,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl199_058,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl683,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl199]) ).
thf(zip_derived_cl686,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl683]) ).
thf(zip_derived_cl250_059,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl903,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl686,zip_derived_cl250]) ).
thf(zip_derived_cl923,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl903]) ).
thf(zip_derived_cl1341,plain,
( ~ ( c3_1 @ a247 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl923]) ).
thf('101',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c0_1 @ a247 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2486,zip_derived_cl1341]) ).
thf(zip_derived_cl829_060,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl149,plain,
( ~ hskp6
| ( c0_1 @ a221 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl586,plain,
( ( c0_1 @ a221 )
<= ( c0_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl2481,plain,
( ( c3_1 @ a221 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a221 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl586]) ).
thf(zip_derived_cl586_061,plain,
( ( c0_1 @ a221 )
<= ( c0_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl923_062,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl903]) ).
thf(zip_derived_cl1457,plain,
( ~ ( c3_1 @ a221 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a221 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl923]) ).
thf('102',plain,
( ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ( c0_1 @ a221 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2481,zip_derived_cl1457]) ).
thf(zip_derived_cl65,plain,
( ~ hskp27
| ( c0_1 @ a232 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl418,plain,
( ( c0_1 @ a232 )
<= ( c0_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl923_063,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl903]) ).
thf(zip_derived_cl1218,plain,
( ~ ( c3_1 @ a232 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl923]) ).
thf(zip_derived_cl67,plain,
( ~ hskp27
| ( c3_1 @ a232 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl422,plain,
( ( c3_1 @ a232 )
<= ( c3_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('103',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a232 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
| ~ ( c3_1 @ a232 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1218,zip_derived_cl422]) ).
thf(zip_derived_cl16,plain,
! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c1_1 @ X12 )
| ~ ndr1_0
| hskp6
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( hskp18
| hskp6
| ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf('105',plain,
( hskp28
| ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
| ~ ndr1_0
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl132,plain,
( ~ hskp10
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('106',plain,
( ndr1_0
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl132]) ).
thf(zip_derived_cl241_064,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl253_065,plain,
( ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
<= ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl935,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c3_1 @ X0 )
| ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl253]) ).
thf(zip_derived_cl937,plain,
( ! [X0: $i] :
( ( c1_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl935]) ).
thf(zip_derived_cl733_066,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl720]) ).
thf(zip_derived_cl2521,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl937,zip_derived_cl733]) ).
thf(zip_derived_cl2564,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2521]) ).
thf(zip_derived_cl490_067,plain,
( ( c0_1 @ a247 )
<= ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl2583,plain,
( ( c3_1 @ a247 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2564,zip_derived_cl490]) ).
thf(zip_derived_cl490_068,plain,
( ( c0_1 @ a247 )
<= ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl250_069,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl733_070,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl720]) ).
thf(zip_derived_cl1076,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl733]) ).
thf(zip_derived_cl1077,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1076]) ).
thf(zip_derived_cl1343,plain,
( ~ ( c3_1 @ a247 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl1077]) ).
thf('107',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a247 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2583,zip_derived_cl1343]) ).
thf(zip_derived_cl79,plain,
( ~ hskp24
| ~ ( c3_1 @ a282 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('108',plain,
( ~ ( c3_1 @ a282 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl2564_071,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2521]) ).
thf(zip_derived_cl77,plain,
( ~ hskp24
| ( c0_1 @ a282 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442,plain,
( ( c0_1 @ a282 )
<= ( c0_1 @ a282 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl2585,plain,
( ( c3_1 @ a282 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) )
& ( c0_1 @ a282 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2564,zip_derived_cl442]) ).
thf(zip_derived_cl446,plain,
( ~ ( c3_1 @ a282 )
<= ~ ( c3_1 @ a282 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf('109',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ( c3_1 @ a282 )
| ~ ( c0_1 @ a282 )
| ~ ! [X20: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2585,zip_derived_cl446]) ).
thf(zip_derived_cl94,plain,
( ~ hskp20
| ( c1_1 @ a259 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl476,plain,
( ( c1_1 @ a259 )
<= ( c1_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl733_072,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl720]) ).
thf(zip_derived_cl1324,plain,
( ~ ( c0_1 @ a259 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ( c1_1 @ a259 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl733]) ).
thf(zip_derived_cl474_073,plain,
( ( c0_1 @ a259 )
<= ( c0_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('110',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a259 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ( c1_1 @ a259 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1324,zip_derived_cl474]) ).
thf(zip_derived_cl412_074,plain,
( ( c1_1 @ a246 )
<= ( c1_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl733_075,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl720]) ).
thf(zip_derived_cl1163,plain,
( ~ ( c0_1 @ a246 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ( c1_1 @ a246 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl733]) ).
thf(zip_derived_cl61,plain,
( ~ hskp28
| ( c0_1 @ a246 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl410,plain,
( ( c0_1 @ a246 )
<= ( c0_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('111',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a246 )
| ~ ( c1_1 @ a246 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1163,zip_derived_cl410]) ).
thf('112',plain,
( ( c0_1 @ a221 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('113',plain,
( ( c1_1 @ a221 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf('114',plain,
( ~ ( c2_1 @ a221 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl590_076,plain,
( ~ ( c2_1 @ a221 )
<= ~ ( c2_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl229_077,plain,
( ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
<= ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl766,plain,
( ( ~ ( c0_1 @ a221 )
| ~ ( c1_1 @ a221 ) )
<= ( ~ ( c2_1 @ a221 )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl590,zip_derived_cl229]) ).
thf('115',plain,
( ~ ( c0_1 @ a221 )
| ( c2_1 @ a221 )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ( c1_1 @ a221 ) ),
inference(split,[status(esa)],[zip_derived_cl766]) ).
thf(zip_derived_cl1343_078,plain,
( ~ ( c3_1 @ a247 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a247 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl490,zip_derived_cl1077]) ).
thf(zip_derived_cl492_079,plain,
( ( c3_1 @ a247 )
<= ( c3_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf('116',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a247 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X11: $i] :
( ( c2_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 ) )
| ~ ( c3_1 @ a247 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1343,zip_derived_cl492]) ).
thf(zip_derived_cl4,plain,
( hskp15
| hskp7
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('117',plain,
( hskp7
| hskp15
| hskp11 ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('118',plain,
( ( c0_1 @ a246 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl61]) ).
thf('119',plain,
( ( c1_1 @ a246 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl62]) ).
thf(zip_derived_cl63,plain,
( ~ hskp28
| ( c2_1 @ a246 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('120',plain,
( ( c2_1 @ a246 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl414,plain,
( ( c2_1 @ a246 )
<= ( c2_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl63]) ).
thf(zip_derived_cl199_080,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl1172,plain,
( ( ~ ( c0_1 @ a246 )
| ~ ( c1_1 @ a246 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c2_1 @ a246 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl414,zip_derived_cl199]) ).
thf('121',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c1_1 @ a246 )
| ~ ( c2_1 @ a246 )
| ~ ( c0_1 @ a246 ) ),
inference(split,[status(esa)],[zip_derived_cl1172]) ).
thf(zip_derived_cl554_081,plain,
( ( c2_1 @ a229 )
<= ( c2_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl246_082,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1429,plain,
( ( ( c1_1 @ a229 )
| ~ ( c3_1 @ a229 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c2_1 @ a229 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl246]) ).
thf(zip_derived_cl5182,plain,
( ( c1_1 @ a229 )
<= ( c1_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl1429]) ).
thf(zip_derived_cl293_083,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl5205,plain,
( ( ( c0_1 @ a229 )
| ~ ( c3_1 @ a229 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c1_1 @ a229 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5182,zip_derived_cl293]) ).
thf('122',plain,
( ~ ( c1_1 @ a229 )
| ~ ( c3_1 @ a229 )
| ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ( c0_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl5205]) ).
thf('123',plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl158,plain,
( ~ hskp4
| ~ ( c0_1 @ a218 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('124',plain,
( ~ ( c0_1 @ a218 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp4
| ~ ( c1_1 @ a218 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('125',plain,
( ~ ( c1_1 @ a218 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl370_084,plain,
( ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
<= ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl606,plain,
( ~ ( c1_1 @ a218 )
<= ~ ( c1_1 @ a218 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1828,plain,
( ( ~ ( c3_1 @ a218 )
| ( c0_1 @ a218 ) )
<= ( ~ ( c1_1 @ a218 )
& ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl606]) ).
thf('126',plain,
( ( c0_1 @ a218 )
| ( c1_1 @ a218 )
| ~ ! [X76: $i] :
( ( c0_1 @ X76 )
| ( c1_1 @ X76 )
| ~ ( c3_1 @ X76 ) )
| ~ ( c3_1 @ a218 ) ),
inference(split,[status(esa)],[zip_derived_cl1828]) ).
thf(zip_derived_cl145,plain,
( ~ hskp7
| ( c0_1 @ a224 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('127',plain,
( ( c0_1 @ a224 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl146,plain,
( ~ hskp7
| ( c3_1 @ a224 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('128',plain,
( ( c3_1 @ a224 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl147,plain,
( ~ hskp7
| ~ ( c1_1 @ a224 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('129',plain,
( ~ ( c1_1 @ a224 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl250_085,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl582,plain,
( ~ ( c1_1 @ a224 )
<= ~ ( c1_1 @ a224 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl889,plain,
( ( ~ ( c3_1 @ a224 )
| ~ ( c0_1 @ a224 ) )
<= ( ~ ( c1_1 @ a224 )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl582]) ).
thf('130',plain,
( ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ( c0_1 @ a224 )
| ( c1_1 @ a224 )
| ~ ( c3_1 @ a224 ) ),
inference(split,[status(esa)],[zip_derived_cl889]) ).
thf(zip_derived_cl48,plain,
! [X71: $i,X72: $i] :
( ( c0_1 @ X71 )
| ( c2_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ndr1_0
| ( c0_1 @ X72 )
| ~ ( c2_1 @ X72 )
| ~ ( c3_1 @ X72 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('131',plain,
( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| hskp6
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl81,plain,
( ~ hskp23
| ~ ( c0_1 @ a278 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( ~ hskp23
| ~ ( c0_1 @ a278 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ~ hskp23
| ~ ( c2_1 @ a278 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('133',plain,
( ~ hskp23
| ~ ( c2_1 @ a278 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp23
| ~ ( c3_1 @ a278 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( ~ hskp23
| ~ ( c3_1 @ a278 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf('135',plain,
( ( c2_1 @ a229 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl134,plain,
( ~ hskp10
| ( c3_1 @ a229 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('136',plain,
( ( c3_1 @ a229 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp10
| ~ ( c0_1 @ a229 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ~ ( c0_1 @ a229 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl554_086,plain,
( ( c2_1 @ a229 )
<= ( c2_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl286_087,plain,
( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl1433,plain,
( ( ( c0_1 @ a229 )
| ~ ( c3_1 @ a229 ) )
<= ( ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ( c2_1 @ a229 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl554,zip_derived_cl286]) ).
thf('138',plain,
( ~ ( c2_1 @ a229 )
| ( c0_1 @ a229 )
| ~ ! [X34: $i] :
( ( c0_1 @ X34 )
| ~ ( c2_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c3_1 @ a229 ) ),
inference(split,[status(esa)],[zip_derived_cl1433]) ).
thf(zip_derived_cl5,plain,
( hskp20
| hskp18
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('139',plain,
( hskp20
| hskp23
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl3,plain,
( hskp24
| hskp8
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('140',plain,
( hskp24
| hskp8
| hskp10 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('141',plain,
( ( c0_1 @ a282 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl2487_088,plain,
( ( c3_1 @ a259 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a259 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl474]) ).
thf(zip_derived_cl474_089,plain,
( ( c0_1 @ a259 )
<= ( c0_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf(zip_derived_cl926_090,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl1316,plain,
( ~ ( c3_1 @ a259 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a259 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl926]) ).
thf('142',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ( c0_1 @ a259 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2487,zip_derived_cl1316]) ).
thf(zip_derived_cl829_091,plain,
( ! [X0: $i] :
( ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl805]) ).
thf(zip_derived_cl442_092,plain,
( ( c0_1 @ a282 )
<= ( c0_1 @ a282 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl2488,plain,
( ( c3_1 @ a282 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
& ( c0_1 @ a282 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl442]) ).
thf(zip_derived_cl442_093,plain,
( ( c0_1 @ a282 )
<= ( c0_1 @ a282 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl926_094,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl1284,plain,
( ~ ( c3_1 @ a282 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a282 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl926]) ).
thf('143',plain,
( ~ ( c0_1 @ a282 )
| ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2488,zip_derived_cl1284]) ).
thf(zip_derived_cl418_095,plain,
( ( c0_1 @ a232 )
<= ( c0_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl926_096,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl1219,plain,
( ~ ( c3_1 @ a232 )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
& ( c0_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl926]) ).
thf(zip_derived_cl422_097,plain,
( ( c3_1 @ a232 )
<= ( c3_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('144',plain,
( ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ( c0_1 @ a232 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c3_1 @ a232 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1219,zip_derived_cl422]) ).
thf(zip_derived_cl270_098,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl494_099,plain,
( ~ ( c2_1 @ a247 )
<= ~ ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1028,plain,
( ( ~ ( c3_1 @ a247 )
| ( c1_1 @ a247 ) )
<= ( ~ ( c2_1 @ a247 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl270,zip_derived_cl494]) ).
thf(zip_derived_cl3308,plain,
( ( c1_1 @ a247 )
<= ( c1_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl1028]) ).
thf(zip_derived_cl198_100,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl3321,plain,
( ( ~ ( c0_1 @ a247 )
| ~ ( c3_1 @ a247 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c1_1 @ a247 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3308,zip_derived_cl198]) ).
thf('145',plain,
( ~ ( c1_1 @ a247 )
| ~ ( c3_1 @ a247 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl3321]) ).
thf('146',plain,
( ( c0_1 @ a247 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf('147',plain,
( ( c3_1 @ a247 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl250_101,plain,
( ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
<= ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl494_102,plain,
( ~ ( c2_1 @ a247 )
<= ~ ( c2_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl221_103,plain,
( ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) )
<= ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl701,plain,
( ( ~ ( c1_1 @ a247 )
| ~ ( c3_1 @ a247 ) )
<= ( ~ ( c2_1 @ a247 )
& ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl221]) ).
thf(zip_derived_cl707,plain,
( ~ ( c1_1 @ a247 )
<= ~ ( c1_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl701]) ).
thf(zip_derived_cl897,plain,
( ( ~ ( c3_1 @ a247 )
| ~ ( c0_1 @ a247 ) )
<= ( ~ ( c1_1 @ a247 )
& ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl707]) ).
thf('148',plain,
( ( c1_1 @ a247 )
| ~ ( c3_1 @ a247 )
| ~ ! [X18: $i] :
( ( c1_1 @ X18 )
| ~ ( c0_1 @ X18 )
| ~ ( c3_1 @ X18 ) )
| ~ ( c0_1 @ a247 ) ),
inference(split,[status(esa)],[zip_derived_cl897]) ).
thf(zip_derived_cl345_104,plain,
( ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
<= ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl452,plain,
( ~ ( c2_1 @ a278 )
<= ~ ( c2_1 @ a278 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl1897,plain,
( ( ( c3_1 @ a278 )
| ( c0_1 @ a278 ) )
<= ( ~ ( c2_1 @ a278 )
& ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl452]) ).
thf('149',plain,
( ( c0_1 @ a278 )
| ( c2_1 @ a278 )
| ~ ! [X64: $i] :
( ( c0_1 @ X64 )
| ( c2_1 @ X64 )
| ( c3_1 @ X64 ) )
| ( c3_1 @ a278 ) ),
inference(split,[status(esa)],[zip_derived_cl1897]) ).
thf(zip_derived_cl141,plain,
( ~ hskp8
| ( c0_1 @ a225 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ( c0_1 @ a225 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl142,plain,
( ~ hskp8
| ~ ( c2_1 @ a225 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('151',plain,
( ~ ( c2_1 @ a225 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl143,plain,
( ~ hskp8
| ~ ( c3_1 @ a225 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('152',plain,
( ~ ( c3_1 @ a225 )
| ~ hskp8 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl241_105,plain,
( ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
<= ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl572,plain,
( ~ ( c2_1 @ a225 )
<= ~ ( c2_1 @ a225 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl809,plain,
( ( ~ ( c0_1 @ a225 )
| ( c3_1 @ a225 ) )
<= ( ~ ( c2_1 @ a225 )
& ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl572]) ).
thf('153',plain,
( ~ ! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 ) )
| ( c2_1 @ a225 )
| ( c3_1 @ a225 )
| ~ ( c0_1 @ a225 ) ),
inference(split,[status(esa)],[zip_derived_cl809]) ).
thf(zip_derived_cl59,plain,
! [X94: $i,X95: $i,X96: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 )
| ~ ndr1_0
| ( c0_1 @ X95 )
| ~ ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 )
| ~ ndr1_0
| ~ ( c0_1 @ X96 )
| ~ ( c1_1 @ X96 )
| ~ ( c2_1 @ X96 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('154',plain,
( ! [X94: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 ) )
| ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('155',plain,
( ( c0_1 @ a238 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf('156',plain,
( ( c2_1 @ a238 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( ~ hskp15
| ~ ( c3_1 @ a238 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ~ ( c3_1 @ a238 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl516_106,plain,
( ( c2_1 @ a238 )
<= ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl202_107,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1392,plain,
( ( ( c3_1 @ a238 )
| ~ ( c0_1 @ a238 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a238 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl202]) ).
thf('158',plain,
( ~ ( c0_1 @ a238 )
| ( c3_1 @ a238 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a238 ) ),
inference(split,[status(esa)],[zip_derived_cl1392]) ).
thf('159',plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| hskp27
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl72,plain,
( ~ hskp25
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('160',plain,
( ndr1_0
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl160,plain,
( ~ hskp3
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('161',plain,
( ndr1_0
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl164,plain,
( ~ hskp2
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( ndr1_0
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl164]) ).
thf(zip_derived_cl1,plain,
( hskp25
| hskp2
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( hskp2
| hskp3
| hskp25 ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl420_108,plain,
( ( c2_1 @ a232 )
<= ( c2_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl246_109,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl1228,plain,
( ( ( c1_1 @ a232 )
| ~ ( c3_1 @ a232 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c2_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl246]) ).
thf(zip_derived_cl4583,plain,
( ( c1_1 @ a232 )
<= ( c1_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl1228]) ).
thf(zip_derived_cl198_110,plain,
( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
<= ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl4604,plain,
( ( ~ ( c0_1 @ a232 )
| ~ ( c3_1 @ a232 ) )
<= ( ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
& ( c1_1 @ a232 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4583,zip_derived_cl198]) ).
thf('164',plain,
( ~ ( c1_1 @ a232 )
| ~ ( c3_1 @ a232 )
| ~ ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ( c0_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl4604]) ).
thf('165',plain,
( ( c0_1 @ a232 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf('166',plain,
( ( c2_1 @ a232 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf('167',plain,
( ( c3_1 @ a232 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf('168',plain,
( ~ ( c2_1 @ a232 )
| ( c1_1 @ a232 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c3_1 @ a232 ) ),
inference(split,[status(esa)],[zip_derived_cl1228]) ).
thf(zip_derived_cl524_111,plain,
( ( c2_1 @ a237 )
<= ( c2_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl202_112,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl8]) ).
thf(zip_derived_cl1410,plain,
( ( ( c3_1 @ a237 )
| ~ ( c0_1 @ a237 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a237 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl202]) ).
thf('169',plain,
( ( c3_1 @ a237 )
| ~ ( c0_1 @ a237 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c2_1 @ a237 ) ),
inference(split,[status(esa)],[zip_derived_cl1410]) ).
thf(zip_derived_cl482_113,plain,
( ( c1_1 @ a252 )
<= ( c1_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl205_114,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1334,plain,
( ( ( c3_1 @ a252 )
| ~ ( c0_1 @ a252 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a252 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl482,zip_derived_cl205]) ).
thf('170',plain,
( ~ ( c0_1 @ a252 )
| ~ ( c1_1 @ a252 )
| ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ( c3_1 @ a252 ) ),
inference(split,[status(esa)],[zip_derived_cl1334]) ).
thf('171',plain,
( hskp20
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf('172',plain,
( ( c0_1 @ a259 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('173',plain,
( ( c1_1 @ a259 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf('174',plain,
( ~ ( c3_1 @ a259 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl476_115,plain,
( ( c1_1 @ a259 )
<= ( c1_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl205_116,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl1326,plain,
( ( ( c3_1 @ a259 )
| ~ ( c0_1 @ a259 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a259 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl476,zip_derived_cl205]) ).
thf('175',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c0_1 @ a259 )
| ~ ( c1_1 @ a259 )
| ( c3_1 @ a259 ) ),
inference(split,[status(esa)],[zip_derived_cl1326]) ).
thf(zip_derived_cl12,plain,
! [X7: $i,X8: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ndr1_0
| ~ ( c0_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('176',plain,
( hskp3
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ! [X2: $i] :
( ~ ( c0_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl161,plain,
( ~ hskp3
| ( c3_1 @ a216 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('177',plain,
( ( c3_1 @ a216 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp3
| ~ ( c0_1 @ a216 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('178',plain,
( ~ ( c0_1 @ a216 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf('179',plain,
( ~ ( c2_1 @ a216 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl331_117,plain,
( ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
<= ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl614_118,plain,
( ~ ( c2_1 @ a216 )
<= ~ ( c2_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl1740,plain,
( ( ~ ( c3_1 @ a216 )
| ( c0_1 @ a216 ) )
<= ( ~ ( c2_1 @ a216 )
& ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl614]) ).
thf('180',plain,
( ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ( c0_1 @ a216 )
| ( c2_1 @ a216 )
| ~ ( c3_1 @ a216 ) ),
inference(split,[status(esa)],[zip_derived_cl1740]) ).
thf(zip_derived_cl41,plain,
! [X59: $i,X60: $i,X61: $i] :
( ( c0_1 @ X59 )
| ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0
| ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c0_1 @ X60 )
| ~ ndr1_0
| ( c2_1 @ X61 )
| ~ ( c1_1 @ X61 )
| ~ ( c3_1 @ X61 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('181',plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
| ! [X56: $i] :
( ( c0_1 @ X56 )
| ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ndr1_0
| ! [X9: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl274_119,plain,
( ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
<= ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl532_120,plain,
( ~ ( c2_1 @ a236 )
<= ~ ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1097,plain,
( ( ~ ( c0_1 @ a236 )
| ( c1_1 @ a236 ) )
<= ( ~ ( c2_1 @ a236 )
& ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl532]) ).
thf('182',plain,
( ~ ( c0_1 @ a236 )
| ~ ! [X28: $i] :
( ( c1_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 ) )
| ( c1_1 @ a236 )
| ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl1097]) ).
thf(zip_derived_cl405,plain,
( ! [X94: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 ) )
<= ! [X94: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 ) ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(zip_derived_cl532_121,plain,
( ~ ( c2_1 @ a236 )
<= ~ ( c2_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl1992,plain,
( ( ( c1_1 @ a236 )
| ( c0_1 @ a236 ) )
<= ( ~ ( c2_1 @ a236 )
& ! [X94: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl532]) ).
thf('183',plain,
( ( c0_1 @ a236 )
| ~ ! [X94: $i] :
( ( c0_1 @ X94 )
| ( c1_1 @ X94 )
| ( c2_1 @ X94 ) )
| ( c2_1 @ a236 )
| ( c1_1 @ a236 ) ),
inference(split,[status(esa)],[zip_derived_cl1992]) ).
thf(zip_derived_cl7923,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN444+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EaCNaOZUnT true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 20:10:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.41/1.58 % Solved by fo/fo1_av.sh.
% 6.41/1.58 % done 2069 iterations in 0.769s
% 6.41/1.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.41/1.58 % SZS output start Refutation
% See solution above
% 6.98/1.59
% 6.98/1.59
% 6.98/1.59 % Terminating...
% 6.98/1.67 % Runner terminated.
% 6.98/1.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------