TSTP Solution File: SYN501+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN501+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.3wkbZJEwnf true
% Computer : n026.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 04:04:12 EDT 2023
% Result : Theorem 6.94s 1.59s
% Output : Refutation 6.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 66
% Syntax : Number of formulae : 595 ( 1 unt; 65 typ; 0 def)
% Number of atoms : 3983 ( 0 equ; 0 cnn)
% Maximal formula atoms : 750 ( 7 avg)
% Number of connectives : 8567 (2073 ~;2463 |; 499 &;3041 @)
% ( 0 <=>; 242 =>; 249 <=; 0 <~>)
% Maximal formula depth : 113 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 65 usr; 62 con; 0-1 aty)
% Number of variables : 722 ( 0 ^; 722 !; 0 ?; 722 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a100_type,type,
a100: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a112_type,type,
a112: $i ).
thf(a145_type,type,
a145: $i ).
thf(a137_type,type,
a137: $i ).
thf(a122_type,type,
a122: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a97_type,type,
a97: $i ).
thf(a105_type,type,
a105: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a98_type,type,
a98: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a103_type,type,
a103: $i ).
thf(a130_type,type,
a130: $i ).
thf(a138_type,type,
a138: $i ).
thf(a166_type,type,
a166: $i ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a110_type,type,
a110: $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(a108_type,type,
a108: $i ).
thf(a113_type,type,
a113: $i ).
thf(a129_type,type,
a129: $i ).
thf(a136_type,type,
a136: $i ).
thf(a195_type,type,
a195: $i ).
thf(a124_type,type,
a124: $i ).
thf(a121_type,type,
a121: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a132_type,type,
a132: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a106_type,type,
a106: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a173_type,type,
a173: $i ).
thf(a107_type,type,
a107: $i ).
thf(a116_type,type,
a116: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a120_type,type,
a120: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a104_type,type,
a104: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a147_type,type,
a147: $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(a99_type,type,
a99: $i ).
thf(a101_type,type,
a101: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a97 )
& ~ ( c2_1 @ a97 )
& ~ ( c3_1 @ a97 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a98 )
& ~ ( c1_1 @ a98 )
& ~ ( c3_1 @ a98 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a99 )
& ~ ( c0_1 @ a99 )
& ~ ( c1_1 @ a99 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a100 )
& ( c3_1 @ a100 )
& ~ ( c1_1 @ a100 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a103 )
& ( c2_1 @ a103 )
& ~ ( c3_1 @ a103 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a104 )
& ~ ( c0_1 @ a104 )
& ~ ( c3_1 @ a104 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a105 )
& ( c2_1 @ a105 )
& ~ ( c3_1 @ a105 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a106 )
& ( c3_1 @ a106 )
& ~ ( c0_1 @ a106 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c3_1 @ a107 )
& ~ ( c0_1 @ a107 )
& ~ ( c2_1 @ a107 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a108 )
& ( c2_1 @ a108 )
& ~ ( c0_1 @ a108 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a110 )
& ~ ( c2_1 @ a110 )
& ~ ( c3_1 @ a110 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c3_1 @ a112 )
& ~ ( c0_1 @ a112 )
& ~ ( c1_1 @ a112 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a113 )
& ( c1_1 @ a113 )
& ~ ( c2_1 @ a113 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a116 )
& ( c1_1 @ a116 )
& ~ ( c3_1 @ a116 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a120 )
& ~ ( c1_1 @ a120 )
& ~ ( c2_1 @ a120 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c0_1 @ a121 )
& ~ ( c2_1 @ a121 )
& ~ ( c3_1 @ a121 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a122 )
& ~ ( c1_1 @ a122 )
& ~ ( c2_1 @ a122 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c2_1 @ a124 )
& ~ ( c1_1 @ a124 )
& ~ ( c3_1 @ a124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a129 )
& ( c2_1 @ a129 )
& ~ ( c1_1 @ a129 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a130 )
& ( c3_1 @ a130 )
& ~ ( c2_1 @ a130 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c1_1 @ a132 )
& ~ ( c2_1 @ a132 )
& ~ ( c3_1 @ a132 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a136 )
& ~ ( c1_1 @ a136 )
& ~ ( c2_1 @ a136 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a138 )
& ( c3_1 @ a138 )
& ~ ( c2_1 @ a138 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a145 )
& ( c3_1 @ a145 )
& ~ ( c0_1 @ a145 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c0_1 @ a147 )
& ~ ( c1_1 @ a147 )
& ~ ( c3_1 @ a147 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a173 )
& ~ ( c0_1 @ a173 )
& ~ ( c3_1 @ a173 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a195 )
& ( c3_1 @ a195 )
& ~ ( c1_1 @ a195 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a101 )
& ( c1_1 @ a101 )
& ( c3_1 @ a101 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a137 )
& ( c1_1 @ a137 )
& ( c2_1 @ a137 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a166 )
& ( c2_1 @ a166 )
& ( c3_1 @ a166 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c3_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ~ ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| hskp1
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ( c3_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c1_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) )
| hskp3 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp27 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c1_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp1 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp4
| hskp5 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp6
| hskp7 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c1_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp8 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c1_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp9
| hskp6 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ( c1_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ) )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) ) )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ( c3_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp10 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ( c3_1 @ X29 ) ) )
| hskp5
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 ) ) )
| hskp12 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp10 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ) )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c2_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp10 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) ) )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp13
| hskp5 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c1_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp11 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ( c3_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp1
| hskp14 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| hskp15 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c2_1 @ X49 )
| ~ ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ) )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 ) ) )
| hskp16 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 ) ) )
| hskp0 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c2_1 @ X56 )
| ( c3_1 @ X56 ) ) )
| hskp17 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp1 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp9
| hskp17 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c3_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) ) )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) )
| hskp15 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| hskp18
| hskp19 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| hskp4 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c3_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) ) )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp20 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| hskp6
| hskp20 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c0_1 @ X74 ) ) )
| hskp2
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) )
| hskp28 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp22
| hskp6 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ( c0_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ) )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c0_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp18 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c1_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ( c1_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c2_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) ) )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c1_1 @ X86 )
| ( c3_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp22
| hskp21 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c1_1 @ X87 )
| ( c3_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp1
| hskp19 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c1_1 @ X88 )
| ( c3_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) )
| hskp23
| hskp17 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c1_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| ! [X91: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) ) )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c1_1 @ X92 )
| ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) )
| ! [X93: $i] :
( ndr1_0
=> ( ( c2_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| hskp24 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c1_1 @ X94 )
| ~ ( c0_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| ! [X95: $i] :
( ndr1_0
=> ( ( c3_1 @ X95 )
| ~ ( c0_1 @ X95 )
| ~ ( c1_1 @ X95 ) ) )
| hskp1 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ( c1_1 @ X96 )
| ~ ( c0_1 @ X96 )
| ~ ( c2_1 @ X96 ) ) )
| hskp4
| hskp7 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ( c1_1 @ X97 )
| ~ ( c0_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| ! [X98: $i] :
( ndr1_0
=> ( ( c2_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp19 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c1_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp3
| hskp17 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c2_1 @ X100 )
| ( c3_1 @ X100 )
| ~ ( c0_1 @ X100 ) ) )
| hskp18
| hskp11 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ( c2_1 @ X101 )
| ( c3_1 @ X101 )
| ~ ( c0_1 @ X101 ) ) )
| hskp16
| hskp2 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ( c2_1 @ X102 )
| ~ ( c0_1 @ X102 )
| ~ ( c1_1 @ X102 ) ) )
| hskp7
| hskp20 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ( c2_1 @ X103 )
| ~ ( c0_1 @ X103 )
| ~ ( c3_1 @ X103 ) ) )
| hskp4
| hskp7 )
& ( ! [X104: $i] :
( ndr1_0
=> ( ( c2_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ( c3_1 @ X104 ) ) )
| ! [X105: $i] :
( ndr1_0
=> ( ( c3_1 @ X105 )
| ~ ( c0_1 @ X105 )
| ~ ( c2_1 @ X105 ) ) )
| hskp11 )
& ( ! [X106: $i] :
( ndr1_0
=> ( ( c2_1 @ X106 )
| ~ ( c1_1 @ X106 )
| ~ ( c3_1 @ X106 ) ) )
| ! [X107: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X107 )
| ~ ( c1_1 @ X107 )
| ~ ( c2_1 @ X107 ) ) )
| hskp2 )
& ( ! [X108: $i] :
( ndr1_0
=> ( ( c3_1 @ X108 )
| ~ ( c0_1 @ X108 )
| ~ ( c1_1 @ X108 ) ) )
| hskp27
| hskp19 )
& ( ! [X109: $i] :
( ndr1_0
=> ( ( c3_1 @ X109 )
| ~ ( c0_1 @ X109 )
| ~ ( c1_1 @ X109 ) ) )
| hskp29
| hskp0 )
& ( ! [X110: $i] :
( ndr1_0
=> ( ( c3_1 @ X110 )
| ~ ( c0_1 @ X110 )
| ~ ( c1_1 @ X110 ) ) )
| hskp18
| hskp8 )
& ( ! [X111: $i] :
( ndr1_0
=> ( ( c3_1 @ X111 )
| ~ ( c0_1 @ X111 )
| ~ ( c1_1 @ X111 ) ) )
| hskp0 )
& ( ! [X112: $i] :
( ndr1_0
=> ( ( c3_1 @ X112 )
| ~ ( c0_1 @ X112 )
| ~ ( c1_1 @ X112 ) ) )
| hskp6 )
& ( ! [X113: $i] :
( ndr1_0
=> ( ( c3_1 @ X113 )
| ~ ( c0_1 @ X113 )
| ~ ( c2_1 @ X113 ) ) )
| hskp16
| hskp25 )
& ( ! [X114: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X114 )
| ~ ( c1_1 @ X114 )
| ~ ( c2_1 @ X114 ) ) )
| hskp27
| hskp29 )
& ( ! [X115: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X115 )
| ~ ( c2_1 @ X115 )
| ~ ( c3_1 @ X115 ) ) )
| hskp1
| hskp9 )
& ( hskp28
| hskp4
| hskp22 )
& ( hskp27
| hskp9
| hskp2 )
& ( hskp12
| hskp13 )
& ( hskp13
| hskp18
| hskp8 )
& ( hskp18
| hskp4
| hskp20 )
& ( hskp18
| hskp19
| hskp17 )
& ( hskp26
| hskp25
| hskp5 )
& ( hskp22
| hskp0
| hskp11 )
& ( hskp22
| hskp8
| hskp15 )
& ( hskp16
| hskp6
| hskp15 )
& ( hskp16
| hskp10
| hskp8 )
& ( hskp19
| hskp8
| hskp15 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a97 )
& ~ ( c2_1 @ a97 )
& ~ ( c3_1 @ a97 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a98 )
& ~ ( c1_1 @ a98 )
& ~ ( c3_1 @ a98 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a99 )
& ~ ( c0_1 @ a99 )
& ~ ( c1_1 @ a99 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a100 )
& ( c3_1 @ a100 )
& ~ ( c1_1 @ a100 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a103 )
& ( c2_1 @ a103 )
& ~ ( c3_1 @ a103 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c2_1 @ a104 )
& ~ ( c0_1 @ a104 )
& ~ ( c3_1 @ a104 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c1_1 @ a105 )
& ( c2_1 @ a105 )
& ~ ( c3_1 @ a105 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a106 )
& ( c3_1 @ a106 )
& ~ ( c0_1 @ a106 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c3_1 @ a107 )
& ~ ( c0_1 @ a107 )
& ~ ( c2_1 @ a107 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a108 )
& ( c2_1 @ a108 )
& ~ ( c0_1 @ a108 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a110 )
& ~ ( c2_1 @ a110 )
& ~ ( c3_1 @ a110 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c3_1 @ a112 )
& ~ ( c0_1 @ a112 )
& ~ ( c1_1 @ a112 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a113 )
& ( c1_1 @ a113 )
& ~ ( c2_1 @ a113 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a116 )
& ( c1_1 @ a116 )
& ~ ( c3_1 @ a116 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a120 )
& ~ ( c1_1 @ a120 )
& ~ ( c2_1 @ a120 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c0_1 @ a121 )
& ~ ( c2_1 @ a121 )
& ~ ( c3_1 @ a121 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c0_1 @ a122 )
& ~ ( c1_1 @ a122 )
& ~ ( c2_1 @ a122 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c2_1 @ a124 )
& ~ ( c1_1 @ a124 )
& ~ ( c3_1 @ a124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a129 )
& ( c2_1 @ a129 )
& ~ ( c1_1 @ a129 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a130 )
& ( c3_1 @ a130 )
& ~ ( c2_1 @ a130 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c1_1 @ a132 )
& ~ ( c2_1 @ a132 )
& ~ ( c3_1 @ a132 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c3_1 @ a136 )
& ~ ( c1_1 @ a136 )
& ~ ( c2_1 @ a136 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a138 )
& ( c3_1 @ a138 )
& ~ ( c2_1 @ a138 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a145 )
& ( c3_1 @ a145 )
& ~ ( c0_1 @ a145 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c0_1 @ a147 )
& ~ ( c1_1 @ a147 )
& ~ ( c3_1 @ a147 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c1_1 @ a173 )
& ~ ( c0_1 @ a173 )
& ~ ( c3_1 @ a173 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a195 )
& ( c3_1 @ a195 )
& ~ ( c1_1 @ a195 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a101 )
& ( c1_1 @ a101 )
& ( c3_1 @ a101 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a137 )
& ( c1_1 @ a137 )
& ( c2_1 @ a137 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a166 )
& ( c2_1 @ a166 )
& ( c3_1 @ a166 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c1_1 @ V )
| ~ ( c2_1 @ V ) ) )
| ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c3_1 @ W )
| ~ ( c2_1 @ W ) ) ) )
& ( ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c1_1 @ X )
| ( c2_1 @ X ) ) )
| ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c2_1 @ Y )
| ~ ( c3_1 @ Y ) ) )
| hskp0 )
& ( ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ( c1_1 @ Z )
| ( c2_1 @ Z ) ) )
| hskp1
| hskp2 )
& ( ! [X1: $i] :
( ndr1_0
=> ( ( c0_1 @ X1 )
| ( c1_1 @ X1 )
| ( c3_1 @ X1 ) ) )
| ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ~ ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c0_1 @ X3 )
| ( c3_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ( c3_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c1_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c3_1 @ X5 ) ) )
| ! [X6: $i] :
( ndr1_0
=> ( ( c3_1 @ X6 )
| ~ ( c0_1 @ X6 )
| ~ ( c1_1 @ X6 ) ) ) )
& ( ! [X7: $i] :
( ndr1_0
=> ( ( c0_1 @ X7 )
| ( c1_1 @ X7 )
| ~ ( c2_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ( c0_1 @ X8 )
| ( c3_1 @ X8 )
| ~ ( c1_1 @ X8 ) ) )
| ! [X9: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ( c3_1 @ X9 ) ) ) )
& ( ! [X10: $i] :
( ndr1_0
=> ( ( c0_1 @ X10 )
| ( c1_1 @ X10 )
| ~ ( c2_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ( c0_1 @ X11 )
| ~ ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 ) ) )
| hskp3 )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c1_1 @ X12 )
| ~ ( c2_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c1_1 @ X13 )
| ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 ) ) )
| hskp27 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c1_1 @ X14 )
| ~ ( c2_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c1_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp1 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) )
| hskp4
| hskp5 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c1_1 @ X17 )
| ~ ( c2_1 @ X17 ) ) )
| hskp6
| hskp7 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c1_1 @ X18 )
| ~ ( c3_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c1_1 @ X19 )
| ( c2_1 @ X19 )
| ~ ( c3_1 @ X19 ) ) )
| hskp8 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c1_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) )
| hskp9
| hskp6 )
& ( ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ( c2_1 @ X21 )
| ( c3_1 @ X21 ) ) )
| ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c3_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ( c1_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) ) )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ( c3_1 @ X24 ) ) )
| ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 ) ) )
| ! [X26: $i] :
( ndr1_0
=> ( ( c2_1 @ X26 )
| ~ ( c0_1 @ X26 )
| ~ ( c1_1 @ X26 ) ) ) )
& ( ! [X27: $i] :
( ndr1_0
=> ( ( c0_1 @ X27 )
| ( c2_1 @ X27 )
| ( c3_1 @ X27 ) ) )
| ! [X28: $i] :
( ndr1_0
=> ( ( c2_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| hskp10 )
& ( ! [X29: $i] :
( ndr1_0
=> ( ( c0_1 @ X29 )
| ( c2_1 @ X29 )
| ( c3_1 @ X29 ) ) )
| hskp5
| hskp11 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c1_1 @ X30 ) ) )
| ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ( c2_1 @ X31 ) ) )
| hskp12 )
& ( ! [X32: $i] :
( ndr1_0
=> ( ( c0_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c1_1 @ X32 ) ) )
| ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ~ ( c1_1 @ X33 )
| ~ ( c2_1 @ X33 ) ) )
| hskp10 )
& ( ! [X34: $i] :
( ndr1_0
=> ( ( c0_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c1_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) )
| ! [X36: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X36 )
| ~ ( c2_1 @ X36 )
| ~ ( c3_1 @ X36 ) ) ) )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ( c2_1 @ X37 )
| ~ ( c1_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) )
| hskp10 )
& ( ! [X39: $i] :
( ndr1_0
=> ( ( c0_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) )
| ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c3_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c3_1 @ X41 ) ) ) )
& ( ! [X42: $i] :
( ndr1_0
=> ( ( c0_1 @ X42 )
| ( c2_1 @ X42 )
| ~ ( c3_1 @ X42 ) ) )
| hskp13
| hskp5 )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ( c3_1 @ X43 )
| ~ ( c1_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ( c1_1 @ X44 ) ) )
| hskp11 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ( c3_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp1
| hskp14 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| hskp15 )
& ( ! [X48: $i] :
( ndr1_0
=> ( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 ) ) )
| ! [X49: $i] :
( ndr1_0
=> ( ( c2_1 @ X49 )
| ~ ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c2_1 @ X50 ) ) ) )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c2_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c2_1 @ X52 ) ) )
| hskp16 )
& ( ! [X53: $i] :
( ndr1_0
=> ( ( c0_1 @ X53 )
| ~ ( c1_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) )
| ! [X54: $i] :
( ndr1_0
=> ( ( c1_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c0_1 @ X54 ) ) )
| hskp0 )
& ( ! [X55: $i] :
( ndr1_0
=> ( ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ( c3_1 @ X55 ) ) )
| ! [X56: $i] :
( ndr1_0
=> ( ( c1_1 @ X56 )
| ( c2_1 @ X56 )
| ( c3_1 @ X56 ) ) )
| hskp17 )
& ( ! [X57: $i] :
( ndr1_0
=> ( ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ( c3_1 @ X57 ) ) )
| ! [X58: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp1 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| hskp9
| hskp17 )
& ( ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 ) ) )
| ! [X61: $i] :
( ndr1_0
=> ( ( c2_1 @ X61 )
| ( c3_1 @ X61 )
| ~ ( c1_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c3_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c2_1 @ X62 ) ) ) )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c1_1 @ X63 )
| ( c2_1 @ X63 )
| ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 ) ) )
| hskp15 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| hskp18
| hskp19 )
& ( ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ( c2_1 @ X66 )
| ~ ( c0_1 @ X66 ) ) )
| ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) )
| hskp4 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c2_1 @ X68 )
| ~ ( c0_1 @ X68 ) ) )
| ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ( c2_1 @ X69 ) ) )
| ! [X70: $i] :
( ndr1_0
=> ( ( c3_1 @ X70 )
| ~ ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) ) )
& ( ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ( c2_1 @ X71 )
| ~ ( c0_1 @ X71 ) ) )
| ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ~ ( c0_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| hskp20 )
& ( ! [X73: $i] :
( ndr1_0
=> ( ( c1_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c0_1 @ X73 ) ) )
| hskp6
| hskp20 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c0_1 @ X74 ) ) )
| hskp2
| hskp21 )
& ( ! [X75: $i] :
( ndr1_0
=> ( ( c1_1 @ X75 )
| ( c2_1 @ X75 )
| ~ ( c3_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ( c2_1 @ X76 )
| ~ ( c0_1 @ X76 )
| ~ ( c1_1 @ X76 ) ) )
| hskp28 )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp22
| hskp6 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ( c2_1 @ X79 )
| ( c3_1 @ X79 )
| ~ ( c0_1 @ X79 ) ) )
| ! [X80: $i] :
( ndr1_0
=> ( ( c2_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ( c3_1 @ X80 ) ) ) )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ( c3_1 @ X81 )
| ~ ( c0_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp18 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c1_1 @ X83 )
| ( c3_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ( c1_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c2_1 @ X84 ) ) )
| ! [X85: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ( c3_1 @ X85 ) ) ) )
& ( ! [X86: $i] :
( ndr1_0
=> ( ( c1_1 @ X86 )
| ( c3_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp22
| hskp21 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c1_1 @ X87 )
| ( c3_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp1
| hskp19 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c1_1 @ X88 )
| ( c3_1 @ X88 )
| ~ ( c2_1 @ X88 ) ) )
| hskp23
| hskp17 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c1_1 @ X89 )
| ~ ( c0_1 @ X89 )
| ~ ( c2_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ( c1_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| ! [X91: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) ) )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c1_1 @ X92 )
| ~ ( c0_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) )
| ! [X93: $i] :
( ndr1_0
=> ( ( c2_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| hskp24 )
& ( ! [X94: $i] :
( ndr1_0
=> ( ( c1_1 @ X94 )
| ~ ( c0_1 @ X94 )
| ~ ( c2_1 @ X94 ) ) )
| ! [X95: $i] :
( ndr1_0
=> ( ( c3_1 @ X95 )
| ~ ( c0_1 @ X95 )
| ~ ( c1_1 @ X95 ) ) )
| hskp1 )
& ( ! [X96: $i] :
( ndr1_0
=> ( ( c1_1 @ X96 )
| ~ ( c0_1 @ X96 )
| ~ ( c2_1 @ X96 ) ) )
| hskp4
| hskp7 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ( c1_1 @ X97 )
| ~ ( c0_1 @ X97 )
| ~ ( c3_1 @ X97 ) ) )
| ! [X98: $i] :
( ndr1_0
=> ( ( c2_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c3_1 @ X98 ) ) )
| hskp19 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c1_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ( c3_1 @ X99 ) ) )
| hskp3
| hskp17 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c2_1 @ X100 )
| ( c3_1 @ X100 )
| ~ ( c0_1 @ X100 ) ) )
| hskp18
| hskp11 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ( c2_1 @ X101 )
| ( c3_1 @ X101 )
| ~ ( c0_1 @ X101 ) ) )
| hskp16
| hskp2 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ( c2_1 @ X102 )
| ~ ( c0_1 @ X102 )
| ~ ( c1_1 @ X102 ) ) )
| hskp7
| hskp20 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ( c2_1 @ X103 )
| ~ ( c0_1 @ X103 )
| ~ ( c3_1 @ X103 ) ) )
| hskp4
| hskp7 )
& ( ! [X104: $i] :
( ndr1_0
=> ( ( c2_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ( c3_1 @ X104 ) ) )
| ! [X105: $i] :
( ndr1_0
=> ( ( c3_1 @ X105 )
| ~ ( c0_1 @ X105 )
| ~ ( c2_1 @ X105 ) ) )
| hskp11 )
& ( ! [X106: $i] :
( ndr1_0
=> ( ( c2_1 @ X106 )
| ~ ( c1_1 @ X106 )
| ~ ( c3_1 @ X106 ) ) )
| ! [X107: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X107 )
| ~ ( c1_1 @ X107 )
| ~ ( c2_1 @ X107 ) ) )
| hskp2 )
& ( ! [X108: $i] :
( ndr1_0
=> ( ( c3_1 @ X108 )
| ~ ( c0_1 @ X108 )
| ~ ( c1_1 @ X108 ) ) )
| hskp27
| hskp19 )
& ( ! [X109: $i] :
( ndr1_0
=> ( ( c3_1 @ X109 )
| ~ ( c0_1 @ X109 )
| ~ ( c1_1 @ X109 ) ) )
| hskp29
| hskp0 )
& ( ! [X110: $i] :
( ndr1_0
=> ( ( c3_1 @ X110 )
| ~ ( c0_1 @ X110 )
| ~ ( c1_1 @ X110 ) ) )
| hskp18
| hskp8 )
& ( ! [X111: $i] :
( ndr1_0
=> ( ( c3_1 @ X111 )
| ~ ( c0_1 @ X111 )
| ~ ( c1_1 @ X111 ) ) )
| hskp0 )
& ( ! [X112: $i] :
( ndr1_0
=> ( ( c3_1 @ X112 )
| ~ ( c0_1 @ X112 )
| ~ ( c1_1 @ X112 ) ) )
| hskp6 )
& ( ! [X113: $i] :
( ndr1_0
=> ( ( c3_1 @ X113 )
| ~ ( c0_1 @ X113 )
| ~ ( c2_1 @ X113 ) ) )
| hskp16
| hskp25 )
& ( ! [X114: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X114 )
| ~ ( c1_1 @ X114 )
| ~ ( c2_1 @ X114 ) ) )
| hskp27
| hskp29 )
& ( ! [X115: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X115 )
| ~ ( c2_1 @ X115 )
| ~ ( c3_1 @ X115 ) ) )
| hskp1
| hskp9 )
& ( hskp28
| hskp4
| hskp22 )
& ( hskp27
| hskp9
| hskp2 )
& ( hskp12
| hskp13 )
& ( hskp13
| hskp18
| hskp8 )
& ( hskp18
| hskp4
| hskp20 )
& ( hskp18
| hskp19
| hskp17 )
& ( hskp26
| hskp25
| hskp5 )
& ( hskp22
| hskp0
| hskp11 )
& ( hskp22
| hskp8
| hskp15 )
& ( hskp16
| hskp6
| hskp15 )
& ( hskp16
| hskp10
| hskp8 )
& ( hskp19
| hskp8
| hskp15 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl146,plain,
( ~ hskp13
| ( c1_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl637,plain,
( ( c1_1 @ a116 )
<= ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl23,plain,
! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 )
| ~ ndr1_0
| hskp7
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
<= ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1443,plain,
( ( ( c2_1 @ a116 )
| ~ ( c0_1 @ a116 ) )
<= ( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
& ( c1_1 @ a116 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl637,zip_derived_cl277]) ).
thf('0',plain,
( ( c2_1 @ a116 )
| ~ ( c0_1 @ a116 )
| ~ ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ~ ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl1443]) ).
thf(zip_derived_cl147,plain,
( ~ hskp13
| ~ ( c3_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl639,plain,
( ~ ( c3_1 @ a116 )
<= ~ ( c3_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ndr1_0
| hskp16
| hskp25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl243,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl849,plain,
( ( ~ ( c0_1 @ a116 )
| ~ ( c2_1 @ a116 ) )
<= ( ~ ( c3_1 @ a116 )
& ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl243]) ).
thf('1',plain,
( ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a116 )
| ~ ( c0_1 @ a116 )
| ( c3_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl849]) ).
thf(zip_derived_cl13,plain,
! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ndr1_0
| hskp27
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( hskp27
| hskp29
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl81,plain,
( ~ hskp29
| ( c0_1 @ a166 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
( ( c0_1 @ a166 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
( ~ hskp29
| ( c2_1 @ a166 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
( ( c2_1 @ a166 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl83,plain,
( ~ hskp29
| ( c3_1 @ a166 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('5',plain,
( ~ hskp29
| ( c3_1 @ a166 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl511,plain,
( ( c3_1 @ a166 )
<= ( c3_1 @ a166 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp1
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl235,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1246,plain,
( ( ~ ( c0_1 @ a166 )
| ~ ( c2_1 @ a166 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a166 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl235]) ).
thf('6',plain,
( ~ ( c3_1 @ a166 )
| ~ ( c2_1 @ a166 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a166 ) ),
inference(split,[status(esa)],[zip_derived_cl1246]) ).
thf(zip_derived_cl170,plain,
( ~ hskp7
| ( c3_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl685,plain,
( ( c3_1 @ a106 )
<= ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl26,plain,
! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 )
| ~ ndr1_0
| hskp3
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl289,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_cl26]) ).
thf(zip_derived_cl1517,plain,
( ( ( c1_1 @ a106 )
| ~ ( c2_1 @ a106 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c3_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl289]) ).
thf('7',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ( c1_1 @ a106 )
| ~ ( c3_1 @ a106 )
| ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1517]) ).
thf(zip_derived_cl40,plain,
! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 )
| ~ ndr1_0
| hskp2
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl199,plain,
( ~ hskp0
| ~ ( c3_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl743,plain,
( ~ ( c3_1 @ a97 )
<= ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl15,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 )
| ~ ndr1_0
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl247,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl912,plain,
( ( ~ ( c0_1 @ a97 )
| ~ ( c1_1 @ a97 ) )
<= ( ~ ( c3_1 @ a97 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl743,zip_derived_cl247]) ).
thf(zip_derived_cl953,plain,
( ~ ( c1_1 @ a97 )
<= ~ ( c1_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl912]) ).
thf(zip_derived_cl1540,plain,
( ( ~ ( c0_1 @ a97 )
| ( c2_1 @ a97 ) )
<= ( ~ ( c1_1 @ a97 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl953]) ).
thf('8',plain,
( ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
| ( c1_1 @ a97 )
| ( c2_1 @ a97 )
| ~ ( c0_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl1540]) ).
thf(zip_derived_cl175,plain,
( ~ hskp6
| ~ ( c3_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
( ~ ( c3_1 @ a105 )
<= ~ ( c3_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl247_001,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl874,plain,
( ( ~ ( c0_1 @ a105 )
| ~ ( c1_1 @ a105 ) )
<= ( ~ ( c3_1 @ a105 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl695,zip_derived_cl247]) ).
thf('9',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ( c1_1 @ a105 )
| ( c3_1 @ a105 )
| ~ ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl874]) ).
thf(zip_derived_cl345_002,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl194,plain,
( ~ hskp1
| ~ ( c1_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl733,plain,
( ~ ( c1_1 @ a98 )
<= ~ ( c1_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl1541,plain,
( ( ~ ( c0_1 @ a98 )
| ( c2_1 @ a98 ) )
<= ( ~ ( c1_1 @ a98 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl733]) ).
thf('10',plain,
( ( c2_1 @ a98 )
| ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
| ( c1_1 @ a98 )
| ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1541]) ).
thf(zip_derived_cl32,plain,
! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 )
| ~ ndr1_0
| hskp23
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl313,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl195,plain,
( ~ hskp1
| ~ ( c3_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl735,plain,
( ~ ( c3_1 @ a98 )
<= ~ ( c3_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1190,plain,
( ( ~ ( c2_1 @ a98 )
| ( c1_1 @ a98 ) )
<= ( ~ ( c3_1 @ a98 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl735]) ).
thf('11',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c2_1 @ a98 )
| ( c3_1 @ a98 )
| ( c1_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1190]) ).
thf(zip_derived_cl91,plain,
( ~ hskp27
| ( c3_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl527,plain,
( ( c3_1 @ a101 )
<= ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl235_003,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1319,plain,
( ( ~ ( c0_1 @ a101 )
| ~ ( c2_1 @ a101 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c3_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl235]) ).
thf('12',plain,
( ~ ( c2_1 @ a101 )
| ~ ( c0_1 @ a101 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1319]) ).
thf(zip_derived_cl527_004,plain,
( ( c3_1 @ a101 )
<= ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl35,plain,
! [X30: $i,X31: $i,X32: $i] :
( ( c1_1 @ X30 )
| ( c3_1 @ X30 )
| ~ ( c2_1 @ X30 )
| ~ ndr1_0
| ( c1_1 @ X31 )
| ~ ( c0_1 @ X31 )
| ~ ( c2_1 @ X31 )
| ~ ndr1_0
| ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl327,plain,
( ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
<= ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1324,plain,
( ( ~ ( c1_1 @ a101 )
| ~ ( c2_1 @ a101 ) )
<= ( ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
& ( c3_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl327]) ).
thf('13',plain,
( ~ ( c2_1 @ a101 )
| ~ ( c1_1 @ a101 )
| ~ ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
| ~ ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1324]) ).
thf(zip_derived_cl72,plain,
! [X102: $i,X103: $i] :
( ( c0_1 @ X102 )
| ( c1_1 @ X102 )
| ~ ( c2_1 @ X102 )
| ~ ndr1_0
| ( c1_1 @ X103 )
| ( c2_1 @ X103 )
| ~ ( c3_1 @ X103 )
| ~ ndr1_0
| hskp27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('14',plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
| hskp27
| ~ ndr1_0
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl72]) ).
thf(zip_derived_cl110,plain,
( ~ hskp22
| ( c3_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl565,plain,
( ( c3_1 @ a138 )
<= ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl36,plain,
! [X33: $i,X34: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ndr1_0
| ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 )
| ~ ndr1_0
| hskp18 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329,plain,
( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1374,plain,
( ( ~ ( c0_1 @ a138 )
| ~ ( c1_1 @ a138 ) )
<= ( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ( c3_1 @ a138 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl329]) ).
thf('15',plain,
( ~ ( c1_1 @ a138 )
| ~ ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c0_1 @ a138 )
| ~ ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl1374]) ).
thf(zip_derived_cl126,plain,
( ~ hskp18
| ( c2_1 @ a129 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl597,plain,
( ( c2_1 @ a129 )
<= ( c2_1 @ a129 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl243_005,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl235_006,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl791,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl235]) ).
thf(zip_derived_cl792,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl791]) ).
thf(zip_derived_cl1401,plain,
( ~ ( c0_1 @ a129 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
& ( c2_1 @ a129 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl597,zip_derived_cl792]) ).
thf(zip_derived_cl125,plain,
( ~ hskp18
| ( c0_1 @ a129 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl595,plain,
( ( c0_1 @ a129 )
<= ( c0_1 @ a129 ) ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('16',plain,
( ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a129 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a129 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1401,zip_derived_cl595]) ).
thf(zip_derived_cl313_007,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl103,plain,
( ~ hskp24
| ~ ( c3_1 @ a147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl551,plain,
( ~ ( c3_1 @ a147 )
<= ~ ( c3_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1199,plain,
( ( ~ ( c2_1 @ a147 )
| ( c1_1 @ a147 ) )
<= ( ~ ( c3_1 @ a147 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl551]) ).
thf('17',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ( c2_1 @ a147 )
| ( c3_1 @ a147 )
| ( c1_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl1199]) ).
thf(zip_derived_cl565_008,plain,
( ( c3_1 @ a138 )
<= ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl22,plain,
! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 )
| ~ ndr1_0
| hskp4
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1370,plain,
( ( ( c2_1 @ a138 )
| ~ ( c0_1 @ a138 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c3_1 @ a138 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl273]) ).
thf('18',plain,
( ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ( c0_1 @ a138 )
| ~ ( c3_1 @ a138 )
| ( c2_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl1370]) ).
thf(zip_derived_cl109,plain,
( ~ hskp22
| ( c0_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('19',plain,
( ( c0_1 @ a138 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf('20',plain,
( ( c3_1 @ a138 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl111,plain,
( ~ hskp22
| ~ ( c2_1 @ a138 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('21',plain,
( ~ ( c2_1 @ a138 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl11,plain,
( hskp28
| hskp4
| hskp22 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( hskp22
| hskp4
| hskp28 ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl52,plain,
! [X63: $i,X64: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ndr1_0
| ( c3_1 @ X64 )
| ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ndr1_0
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('23',plain,
( hskp16
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl43,plain,
! [X45: $i,X46: $i,X47: $i] :
( ( c1_1 @ X45 )
| ( c2_1 @ X45 )
| ~ ( c0_1 @ X45 )
| ~ ndr1_0
| ( c1_1 @ X46 )
| ~ ( c0_1 @ X46 )
| ~ ( c2_1 @ X46 )
| ~ ndr1_0
| ( c3_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('24',plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ndr1_0
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf(zip_derived_cl133,plain,
( ~ hskp16
| ( c0_1 @ a122 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('25',plain,
( ( c0_1 @ a122 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl134,plain,
( ~ hskp16
| ~ ( c1_1 @ a122 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ~ ( c1_1 @ a122 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp16
| ~ ( c2_1 @ a122 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('27',plain,
( ~ ( c2_1 @ a122 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl345_009,plain,
( ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
<= ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl613,plain,
( ~ ( c1_1 @ a122 )
<= ~ ( c1_1 @ a122 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl1552,plain,
( ( ~ ( c0_1 @ a122 )
| ( c2_1 @ a122 ) )
<= ( ~ ( c1_1 @ a122 )
& ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl613]) ).
thf('28',plain,
( ( c1_1 @ a122 )
| ( c2_1 @ a122 )
| ~ ! [X41: $i] :
( ( c1_1 @ X41 )
| ( c2_1 @ X41 )
| ~ ( c0_1 @ X41 ) )
| ~ ( c0_1 @ a122 ) ),
inference(split,[status(esa)],[zip_derived_cl1552]) ).
thf(zip_derived_cl31,plain,
! [X24: $i,X25: $i,X26: $i] :
( ( c1_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ( c2_1 @ X24 )
| ~ ndr1_0
| ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ( c3_1 @ X25 )
| ~ ndr1_0
| ~ ( c0_1 @ X26 )
| ~ ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('29',plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ndr1_0
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf(zip_derived_cl186,plain,
( ~ hskp3
| ( c3_1 @ a100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl717,plain,
( ( c3_1 @ a100 )
<= ( c3_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl289_010,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_cl26]) ).
thf(zip_derived_cl1615,plain,
( ( ( c1_1 @ a100 )
| ~ ( c2_1 @ a100 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
& ( c3_1 @ a100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl289]) ).
thf('30',plain,
( ~ ( c3_1 @ a100 )
| ( c1_1 @ a100 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ( c3_1 @ X16 ) )
| ~ ( c2_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl1615]) ).
thf(zip_derived_cl6050,plain,
( ( c1_1 @ a106 )
<= ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1517]) ).
thf(zip_derived_cl393,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl6054,plain,
( ( ( c0_1 @ a106 )
| ~ ( c2_1 @ a106 ) )
<= ( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c1_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6050,zip_derived_cl393]) ).
thf('31',plain,
( ~ ( c1_1 @ a106 )
| ( c0_1 @ a106 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl6054]) ).
thf(zip_derived_cl67,plain,
! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 )
| ~ ndr1_0
| hskp9
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('32',plain,
( hskp6
| ! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) )
| ~ ndr1_0
| hskp9 ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl173,plain,
( ~ hskp6
| ( c1_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl691,plain,
( ( c1_1 @ a105 )
<= ( c1_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl239,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_cl13]) ).
thf(zip_derived_cl1522,plain,
( ( ~ ( c0_1 @ a105 )
| ~ ( c2_1 @ a105 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c1_1 @ a105 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl239]) ).
thf('33',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a105 )
| ~ ( c1_1 @ a105 )
| ~ ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1522]) ).
thf(zip_derived_cl685_011,plain,
( ( c3_1 @ a106 )
<= ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl453,plain,
( ! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) )
<= ! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl1862,plain,
( ( ( c0_1 @ a106 )
| ( c1_1 @ a106 ) )
<= ( ! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) )
& ( c3_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl453]) ).
thf('34',plain,
( ~ ! [X95: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) )
| ( c1_1 @ a106 )
| ( c0_1 @ a106 )
| ~ ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1862]) ).
thf(zip_derived_cl187,plain,
( ~ hskp3
| ~ ( c1_1 @ a100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('35',plain,
( ~ ( c1_1 @ a100 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl28,plain,
! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 )
| ~ ndr1_0
| hskp4
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl297,plain,
( ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
<= ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl719,plain,
( ~ ( c1_1 @ a100 )
<= ~ ( c1_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl1088,plain,
( ( ~ ( c2_1 @ a100 )
| ~ ( c0_1 @ a100 ) )
<= ( ~ ( c1_1 @ a100 )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl719]) ).
thf('36',plain,
( ~ ( c0_1 @ a100 )
| ( c1_1 @ a100 )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ( c2_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl1088]) ).
thf(zip_derived_cl185,plain,
( ~ hskp3
| ( c2_1 @ a100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('37',plain,
( ( c2_1 @ a100 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf('38',plain,
( ( c3_1 @ a100 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl717_012,plain,
( ( c3_1 @ a100 )
<= ( c3_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl48,plain,
! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 )
| ~ ndr1_0
| hskp9
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl377,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_cl48]) ).
thf(zip_derived_cl1654,plain,
( ( ( c0_1 @ a100 )
| ~ ( c2_1 @ a100 ) )
<= ( ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
& ( c3_1 @ a100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl717,zip_derived_cl377]) ).
thf('39',plain,
( ( c0_1 @ a100 )
| ~ ( c2_1 @ a100 )
| ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ( c3_1 @ a100 ) ),
inference(split,[status(esa)],[zip_derived_cl1654]) ).
thf(zip_derived_cl73,plain,
! [X104: $i,X105: $i] :
( ( c0_1 @ X104 )
| ( c1_1 @ X104 )
| ~ ( c2_1 @ X104 )
| ~ ndr1_0
| ( c0_1 @ X105 )
| ~ ( c1_1 @ X105 )
| ~ ( c2_1 @ X105 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( hskp3
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf(zip_derived_cl29,plain,
! [X20: $i,X21: $i] :
( ( c1_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c2_1 @ X20 )
| ~ ndr1_0
| ( c3_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c1_1 @ X21 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('41',plain,
( hskp1
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ndr1_0
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl21,plain,
! [X10: $i,X11: $i] :
( ( c2_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 )
| ~ ndr1_0
| ( c3_1 @ X11 )
| ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ndr1_0
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('42',plain,
( hskp11
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf('43',plain,
( hskp4
| hskp7
| ~ ndr1_0
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf('44',plain,
( ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ndr1_0
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl685_013,plain,
( ( c3_1 @ a106 )
<= ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl327_014,plain,
( ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
<= ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl1519,plain,
( ( ~ ( c1_1 @ a106 )
| ~ ( c2_1 @ a106 ) )
<= ( ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
& ( c3_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl327]) ).
thf('45',plain,
( ~ ( c1_1 @ a106 )
| ~ ( c3_1 @ a106 )
| ~ ! [X32: $i] :
( ~ ( c1_1 @ X32 )
| ~ ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 ) )
| ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1519]) ).
thf(zip_derived_cl2788,plain,
( ~ ( c1_1 @ a106 )
<= ~ ( c1_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1519]) ).
thf(zip_derived_cl69,plain,
! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 )
| ~ ndr1_0
| hskp6
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl461,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl2792,plain,
( ( ( c0_1 @ a106 )
| ~ ( c2_1 @ a106 ) )
<= ( ~ ( c1_1 @ a106 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2788,zip_derived_cl461]) ).
thf('46',plain,
( ( c1_1 @ a106 )
| ( c0_1 @ a106 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl2792]) ).
thf(zip_derived_cl45,plain,
! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 )
| ~ ndr1_0
| hskp18
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl365,plain,
( ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
<= ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl551_015,plain,
( ~ ( c3_1 @ a147 )
<= ~ ( c3_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl1823,plain,
( ( ( c2_1 @ a147 )
| ( c1_1 @ a147 ) )
<= ( ~ ( c3_1 @ a147 )
& ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl551]) ).
thf('47',plain,
( ( c2_1 @ a147 )
| ( c3_1 @ a147 )
| ~ ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
| ( c1_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl1823]) ).
thf(zip_derived_cl461_016,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl102,plain,
( ~ hskp24
| ~ ( c1_1 @ a147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl549,plain,
( ~ ( c1_1 @ a147 )
<= ~ ( c1_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl2060,plain,
( ( ~ ( c2_1 @ a147 )
| ( c0_1 @ a147 ) )
<= ( ~ ( c1_1 @ a147 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl549]) ).
thf('48',plain,
( ~ ( c2_1 @ a147 )
| ( c0_1 @ a147 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ( c1_1 @ a147 ) ),
inference(split,[status(esa)],[zip_derived_cl2060]) ).
thf(zip_derived_cl101,plain,
( ~ hskp24
| ~ ( c0_1 @ a147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('49',plain,
( ~ ( c0_1 @ a147 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf('50',plain,
( ~ ( c1_1 @ a147 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf('51',plain,
( ~ ( c3_1 @ a147 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf(zip_derived_cl30,plain,
! [X22: $i,X23: $i] :
( ( c1_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c2_1 @ X22 )
| ~ ndr1_0
| ( c2_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ( c3_1 @ X23 )
| ~ ndr1_0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( hskp24
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ndr1_0
| ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl150,plain,
( ~ hskp12
| ( c1_1 @ a113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl645,plain,
( ( c1_1 @ a113 )
<= ( c1_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl247_017,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X8: $i,X9: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0
| ~ ( c0_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl266,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl908,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl266]) ).
thf(zip_derived_cl909,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl1457,plain,
( ( ( c2_1 @ a113 )
| ~ ( c0_1 @ a113 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c1_1 @ a113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl909]) ).
thf('53',plain,
( ~ ( c0_1 @ a113 )
| ~ ( c1_1 @ a113 )
| ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ( c2_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl1457]) ).
thf(zip_derived_cl153,plain,
( ~ hskp11
| ( c3_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl651,plain,
( ( c3_1 @ a112 )
<= ( c3_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl38,plain,
! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 )
| ~ ndr1_0
| hskp22
| hskp6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl337,plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
<= ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1471,plain,
( ( ( c1_1 @ a112 )
| ( c2_1 @ a112 ) )
<= ( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
& ( c3_1 @ a112 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl337]) ).
thf('54',plain,
( ( c2_1 @ a112 )
| ( c1_1 @ a112 )
| ~ ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
| ~ ( c3_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl1471]) ).
thf(zip_derived_cl461_018,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl155,plain,
( ~ hskp11
| ~ ( c1_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl655,plain,
( ~ ( c1_1 @ a112 )
<= ~ ( c1_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl2051,plain,
( ( ~ ( c2_1 @ a112 )
| ( c0_1 @ a112 ) )
<= ( ~ ( c1_1 @ a112 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl655]) ).
thf('55',plain,
( ~ ( c2_1 @ a112 )
| ( c0_1 @ a112 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ( c1_1 @ a112 ) ),
inference(split,[status(esa)],[zip_derived_cl2051]) ).
thf('56',plain,
( ( c3_1 @ a112 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl154,plain,
( ~ hskp11
| ~ ( c0_1 @ a112 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('57',plain,
( ~ ( c0_1 @ a112 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('58',plain,
( ~ ( c1_1 @ a112 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl25,plain,
! [X15: $i] :
( ( c2_1 @ X15 )
| ( c3_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ndr1_0
| hskp18
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('59',plain,
( hskp11
| ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
| hskp18
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl330,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl131,plain,
( ~ hskp17
| ~ ( c3_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl607,plain,
( ~ ( c3_1 @ a124 )
<= ~ ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1288,plain,
( ( ~ ( c0_1 @ a124 )
| ( c1_1 @ a124 ) )
<= ( ~ ( c3_1 @ a124 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl607]) ).
thf('60',plain,
( ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ~ ( c0_1 @ a124 )
| ( c1_1 @ a124 )
| ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1288]) ).
thf(zip_derived_cl50,plain,
! [X59: $i,X60: $i] :
( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 )
| ~ ndr1_0
| ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ( c3_1 @ X60 )
| ~ ndr1_0
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('61',plain,
( ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
| hskp17
| ~ ndr1_0
| ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl7,plain,
( hskp18
| hskp4
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('62',plain,
( hskp20
| hskp4
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl7]) ).
thf(zip_derived_cl330_019,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl183,plain,
( ~ hskp4
| ~ ( c3_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl711,plain,
( ~ ( c3_1 @ a103 )
<= ~ ( c3_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl1282,plain,
( ( ~ ( c0_1 @ a103 )
| ( c1_1 @ a103 ) )
<= ( ~ ( c3_1 @ a103 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl711]) ).
thf('63',plain,
( ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ( c1_1 @ a103 )
| ( c3_1 @ a103 )
| ~ ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl1282]) ).
thf(zip_derived_cl313_020,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl711_021,plain,
( ~ ( c3_1 @ a103 )
<= ~ ( c3_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl1191,plain,
( ( ~ ( c2_1 @ a103 )
| ( c1_1 @ a103 ) )
<= ( ~ ( c3_1 @ a103 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl711]) ).
thf(zip_derived_cl3467,plain,
( ( c1_1 @ a103 )
<= ( c1_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf(zip_derived_cl239_022,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_cl13]) ).
thf(zip_derived_cl3469,plain,
( ( ~ ( c0_1 @ a103 )
| ~ ( c2_1 @ a103 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c1_1 @ a103 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3467,zip_derived_cl239]) ).
thf('64',plain,
( ~ ( c1_1 @ a103 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c2_1 @ a103 )
| ~ ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl3469]) ).
thf(zip_derived_cl645_023,plain,
( ( c1_1 @ a113 )
<= ( c1_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl247_024,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl273_025,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl946,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl273]) ).
thf(zip_derived_cl948,plain,
( ! [X0: $i] :
( ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl946]) ).
thf(zip_derived_cl1458,plain,
( ( ( c2_1 @ a113 )
| ~ ( c0_1 @ a113 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c1_1 @ a113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl948]) ).
thf('65',plain,
( ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ~ ( c0_1 @ a113 )
| ~ ( c1_1 @ a113 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ( c2_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl1458]) ).
thf(zip_derived_cl39,plain,
! [X39: $i,X40: $i] :
( ( c1_1 @ X39 )
| ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 )
| ~ ndr1_0
| ( c2_1 @ X40 )
| ~ ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('66',plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
| hskp28
| ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl85,plain,
( ~ hskp28
| ( c0_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('67',plain,
( ( c0_1 @ a137 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf(zip_derived_cl86,plain,
( ~ hskp28
| ( c1_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('68',plain,
( ~ hskp28
| ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl87,plain,
( ~ hskp28
| ( c2_1 @ a137 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('69',plain,
( ( c2_1 @ a137 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl517,plain,
( ( c1_1 @ a137 )
<= ( c1_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl239_026,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_cl13]) ).
thf(zip_derived_cl1253,plain,
( ( ~ ( c0_1 @ a137 )
| ~ ( c2_1 @ a137 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c1_1 @ a137 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl239]) ).
thf('70',plain,
( ~ ( c1_1 @ a137 )
| ~ ( c2_1 @ a137 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c0_1 @ a137 ) ),
inference(split,[status(esa)],[zip_derived_cl1253]) ).
thf(zip_derived_cl565_027,plain,
( ( c3_1 @ a138 )
<= ( c3_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf(zip_derived_cl337_028,plain,
( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
<= ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl1423,plain,
( ( ( c1_1 @ a138 )
| ( c2_1 @ a138 ) )
<= ( ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
& ( c3_1 @ a138 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl337]) ).
thf('71',plain,
( ( c1_1 @ a138 )
| ~ ( c3_1 @ a138 )
| ~ ! [X38: $i] :
( ( c1_1 @ X38 )
| ( c2_1 @ X38 )
| ~ ( c3_1 @ X38 ) )
| ( c2_1 @ a138 ) ),
inference(split,[status(esa)],[zip_derived_cl1423]) ).
thf(zip_derived_cl160,plain,
( ~ hskp9
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('72',plain,
( ndr1_0
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl181,plain,
( ~ hskp4
| ( c0_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('73',plain,
( ( c0_1 @ a103 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf('74',plain,
( ~ ( c3_1 @ a103 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl711_029,plain,
( ~ ( c3_1 @ a103 )
<= ~ ( c3_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl243_030,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl881,plain,
( ( ~ ( c0_1 @ a103 )
| ~ ( c2_1 @ a103 ) )
<= ( ~ ( c3_1 @ a103 )
& ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl243]) ).
thf('75',plain,
( ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c0_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a103 )
| ( c3_1 @ a103 )
| ~ ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl881]) ).
thf('76',plain,
( ( c0_1 @ a129 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('77',plain,
( ( c2_1 @ a129 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl127,plain,
( ~ hskp18
| ~ ( c1_1 @ a129 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('78',plain,
( ~ ( c1_1 @ a129 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl297_031,plain,
( ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
<= ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl599,plain,
( ~ ( c1_1 @ a129 )
<= ~ ( c1_1 @ a129 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1099,plain,
( ( ~ ( c2_1 @ a129 )
| ~ ( c0_1 @ a129 ) )
<= ( ~ ( c1_1 @ a129 )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl599]) ).
thf('79',plain,
( ~ ( c0_1 @ a129 )
| ( c1_1 @ a129 )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ( c2_1 @ a129 ) ),
inference(split,[status(esa)],[zip_derived_cl1099]) ).
thf(zip_derived_cl117,plain,
( ~ hskp20
| ~ ( c1_1 @ a132 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('80',plain,
( ~ ( c1_1 @ a132 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf(zip_derived_cl118,plain,
( ~ hskp20
| ~ ( c2_1 @ a132 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('81',plain,
( ~ ( c2_1 @ a132 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp20
| ~ ( c3_1 @ a132 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('82',plain,
( ~ ( c3_1 @ a132 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf('83',plain,
( hskp20
| ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ~ ndr1_0
| hskp7 ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl47,plain,
! [X53: $i,X54: $i,X55: $i] :
( ( c1_1 @ X53 )
| ( c2_1 @ X53 )
| ( c3_1 @ X53 )
| ~ ndr1_0
| ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ndr1_0
| ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('84',plain,
( ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
| ! [X54: $i] :
( ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 ) )
| ~ ndr1_0
| ! [X55: $i] :
( ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl374,plain,
( ! [X54: $i] :
( ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 ) )
<= ! [X54: $i] :
( ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl743_032,plain,
( ~ ( c3_1 @ a97 )
<= ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl1890,plain,
( ( ~ ( c1_1 @ a97 )
| ( c2_1 @ a97 ) )
<= ( ~ ( c3_1 @ a97 )
& ! [X54: $i] :
( ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl743]) ).
thf('85',plain,
( ~ ! [X54: $i] :
( ( c2_1 @ X54 )
| ( c3_1 @ X54 )
| ~ ( c1_1 @ X54 ) )
| ~ ( c1_1 @ a97 )
| ( c3_1 @ a97 )
| ( c2_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl1890]) ).
thf(zip_derived_cl24,plain,
! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 )
| ~ ndr1_0
| hskp16
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl281,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl743_033,plain,
( ~ ( c3_1 @ a97 )
<= ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl966,plain,
( ( ~ ( c0_1 @ a97 )
| ( c2_1 @ a97 ) )
<= ( ~ ( c3_1 @ a97 )
& ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl743]) ).
thf('86',plain,
( ~ ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
| ( c2_1 @ a97 )
| ( c3_1 @ a97 )
| ~ ( c0_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl966]) ).
thf(zip_derived_cl198,plain,
( ~ hskp0
| ~ ( c2_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('87',plain,
( ~ ( c2_1 @ a97 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf('88',plain,
( ~ ( c3_1 @ a97 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf('89',plain,
( ~ ( c3_1 @ a105 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl373,plain,
( ! [X55: $i] :
( ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
<= ! [X55: $i] :
( ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ),
inference(split,[status(esa)],[zip_derived_cl47]) ).
thf(zip_derived_cl695_034,plain,
( ~ ( c3_1 @ a105 )
<= ~ ( c3_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1726,plain,
( ( ~ ( c2_1 @ a105 )
| ~ ( c1_1 @ a105 ) )
<= ( ~ ( c3_1 @ a105 )
& ! [X55: $i] :
( ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl373,zip_derived_cl695]) ).
thf('90',plain,
( ~ ! [X55: $i] :
( ( c3_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c2_1 @ X55 ) )
| ~ ( c1_1 @ a105 )
| ~ ( c2_1 @ a105 )
| ( c3_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1726]) ).
thf('91',plain,
( hskp1
| ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| hskp9
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl691_035,plain,
( ( c1_1 @ a105 )
<= ( c1_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl393_036,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1696,plain,
( ( ( c0_1 @ a105 )
| ~ ( c2_1 @ a105 ) )
<= ( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c1_1 @ a105 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl393]) ).
thf(zip_derived_cl4033,plain,
( ( c0_1 @ a105 )
<= ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1696]) ).
thf(zip_derived_cl247_037,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl235_038,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl807,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl235]) ).
thf(zip_derived_cl812,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl807]) ).
thf(zip_derived_cl297_039,plain,
( ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
<= ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl1105,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl812,zip_derived_cl297]) ).
thf(zip_derived_cl1129,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1105]) ).
thf(zip_derived_cl281_040,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl695_041,plain,
( ~ ( c3_1 @ a105 )
<= ~ ( c3_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl970,plain,
( ( ~ ( c0_1 @ a105 )
| ( c2_1 @ a105 ) )
<= ( ~ ( c3_1 @ a105 )
& ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl695]) ).
thf(zip_derived_cl1042,plain,
( ( c2_1 @ a105 )
<= ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl970]) ).
thf(zip_derived_cl1145,plain,
( ~ ( c0_1 @ a105 )
<= ( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
& ( c2_1 @ a105 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1129,zip_derived_cl1042]) ).
thf('92',plain,
( ~ ( c0_1 @ a105 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ( c2_1 @ a105 )
| ~ ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4033,zip_derived_cl1145]) ).
thf(zip_derived_cl33,plain,
! [X28: $i] :
( ( c1_1 @ X28 )
| ( c3_1 @ X28 )
| ~ ( c2_1 @ X28 )
| ~ ndr1_0
| hskp1
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( hskp1
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ndr1_0
| hskp19 ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl6,plain,
( hskp18
| hskp19
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('94',plain,
( hskp17
| hskp19
| hskp18 ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('95',plain,
( hskp2
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf('96',plain,
( hskp6
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf('97',plain,
( hskp6
| hskp7
| ~ ndr1_0
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl461_042,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl900,plain,
( ~ ( c1_1 @ a105 )
<= ~ ( c1_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl874]) ).
thf(zip_derived_cl2049,plain,
( ( ~ ( c2_1 @ a105 )
| ( c0_1 @ a105 ) )
<= ( ~ ( c1_1 @ a105 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl900]) ).
thf('98',plain,
( ( c0_1 @ a105 )
| ( c1_1 @ a105 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ~ ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl2049]) ).
thf(zip_derived_cl4033_043,plain,
( ( c0_1 @ a105 )
<= ( c0_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1696]) ).
thf(zip_derived_cl297_044,plain,
( ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
<= ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl239_045,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_cl13]) ).
thf(zip_derived_cl1079,plain,
( ! [X0: $i] :
( ~ ( c2_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl239]) ).
thf(zip_derived_cl1133,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1079]) ).
thf(zip_derived_cl1042_046,plain,
( ( c2_1 @ a105 )
<= ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl970]) ).
thf(zip_derived_cl2311,plain,
( ~ ( c0_1 @ a105 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
& ( c2_1 @ a105 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1133,zip_derived_cl1042]) ).
thf('99',plain,
( ~ ( c0_1 @ a105 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ( c2_1 @ a105 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4033,zip_derived_cl2311]) ).
thf('100',plain,
( ( c1_1 @ a105 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl130,plain,
( ~ hskp17
| ~ ( c1_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('101',plain,
( ~ ( c1_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf('102',plain,
( ~ ( c3_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl313_047,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl607_048,plain,
( ~ ( c3_1 @ a124 )
<= ~ ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1197,plain,
( ( ~ ( c2_1 @ a124 )
| ( c1_1 @ a124 ) )
<= ( ~ ( c3_1 @ a124 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl607]) ).
thf('103',plain,
( ~ ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ( c1_1 @ a124 )
| ( c3_1 @ a124 )
| ~ ( c2_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1197]) ).
thf(zip_derived_cl71,plain,
! [X100: $i,X101: $i] :
( ( c0_1 @ X100 )
| ( c1_1 @ X100 )
| ~ ( c2_1 @ X100 )
| ~ ndr1_0
| ( c1_1 @ X101 )
| ( c3_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('104',plain,
( hskp1
| ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
| ~ ndr1_0
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl193,plain,
( ~ hskp1
| ( c0_1 @ a98 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('105',plain,
( ( c0_1 @ a98 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf('106',plain,
( ~ ( c1_1 @ a98 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf('107',plain,
( ~ ( c3_1 @ a98 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl330_049,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl735_050,plain,
( ~ ( c3_1 @ a98 )
<= ~ ( c3_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl1281,plain,
( ( ~ ( c0_1 @ a98 )
| ( c1_1 @ a98 ) )
<= ( ~ ( c3_1 @ a98 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl735]) ).
thf('108',plain,
( ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ( c1_1 @ a98 )
| ( c3_1 @ a98 )
| ~ ( c0_1 @ a98 ) ),
inference(split,[status(esa)],[zip_derived_cl1281]) ).
thf(zip_derived_cl645_051,plain,
( ( c1_1 @ a113 )
<= ( c1_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl247_052,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl329_053,plain,
( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1017,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl329]) ).
thf(zip_derived_cl1020,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1017]) ).
thf(zip_derived_cl1459,plain,
( ~ ( c0_1 @ a113 )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
& ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ( c1_1 @ a113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl1020]) ).
thf(zip_derived_cl149,plain,
( ~ hskp12
| ( c0_1 @ a113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl643,plain,
( ( c0_1 @ a113 )
<= ( c0_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('109',plain,
( ~ ( c0_1 @ a113 )
| ~ ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c1_1 @ a113 )
| ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1459,zip_derived_cl643]) ).
thf(zip_derived_cl148,plain,
( ~ hskp12
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ndr1_0
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl148]) ).
thf(zip_derived_cl174,plain,
( ~ hskp6
| ( c2_1 @ a105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('111',plain,
( ( c2_1 @ a105 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl169,plain,
( ~ hskp7
| ( c2_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('112',plain,
( ( c2_1 @ a106 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf('113',plain,
( ( c3_1 @ a106 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp7
| ~ ( c0_1 @ a106 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ~ ( c0_1 @ a106 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl685_054,plain,
( ( c3_1 @ a106 )
<= ( c3_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl377_055,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_cl48]) ).
thf(zip_derived_cl1655,plain,
( ( ( c0_1 @ a106 )
| ~ ( c2_1 @ a106 ) )
<= ( ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
& ( c3_1 @ a106 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl377]) ).
thf('115',plain,
( ~ ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| ~ ( c3_1 @ a106 )
| ( c0_1 @ a106 )
| ~ ( c2_1 @ a106 ) ),
inference(split,[status(esa)],[zip_derived_cl1655]) ).
thf(zip_derived_cl527_056,plain,
( ( c3_1 @ a101 )
<= ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl273_057,plain,
( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
<= ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1321,plain,
( ( ( c2_1 @ a101 )
| ~ ( c0_1 @ a101 ) )
<= ( ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
& ( c3_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl273]) ).
thf('116',plain,
( ~ ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) )
| ( c2_1 @ a101 )
| ~ ( c3_1 @ a101 )
| ~ ( c0_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1321]) ).
thf(zip_derived_cl2476,plain,
( ~ ( c1_1 @ a101 )
<= ~ ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1324]) ).
thf(zip_derived_cl297_058,plain,
( ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
<= ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl2477,plain,
( ( ~ ( c0_1 @ a101 )
| ~ ( c2_1 @ a101 ) )
<= ( ~ ( c1_1 @ a101 )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2476,zip_derived_cl297]) ).
thf('117',plain,
( ( c1_1 @ a101 )
| ~ ( c2_1 @ a101 )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ( c0_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl2477]) ).
thf(zip_derived_cl90,plain,
( ~ hskp27
| ( c1_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl525,plain,
( ( c1_1 @ a101 )
<= ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf(zip_derived_cl239_059,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_cl13]) ).
thf(zip_derived_cl1309,plain,
( ( ~ ( c0_1 @ a101 )
| ~ ( c2_1 @ a101 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ( c1_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl525,zip_derived_cl239]) ).
thf('118',plain,
( ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ( c2_1 @ a101 )
| ~ ( c0_1 @ a101 )
| ~ ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1309]) ).
thf('119',plain,
( hskp17
| ! [X56: $i] :
( ( c0_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 ) )
| hskp9
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl48]) ).
thf(zip_derived_cl129,plain,
( ~ hskp17
| ( c2_1 @ a124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('120',plain,
( ( c2_1 @ a124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl182,plain,
( ~ hskp4
| ( c2_1 @ a103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('121',plain,
( ( c2_1 @ a103 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl461_060,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl605,plain,
( ~ ( c1_1 @ a124 )
<= ~ ( c1_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl2056,plain,
( ( ~ ( c2_1 @ a124 )
| ( c0_1 @ a124 ) )
<= ( ~ ( c1_1 @ a124 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl605]) ).
thf('122',plain,
( ~ ( c2_1 @ a124 )
| ( c1_1 @ a124 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ( c0_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl2056]) ).
thf(zip_derived_cl55,plain,
! [X70: $i] :
( ( c0_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 )
| ~ ndr1_0
| hskp1
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl405,plain,
( ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 ) )
<= ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl607_061,plain,
( ~ ( c3_1 @ a124 )
<= ~ ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1961,plain,
( ( ~ ( c2_1 @ a124 )
| ( c0_1 @ a124 ) )
<= ( ~ ( c3_1 @ a124 )
& ! [X70: $i] :
( ( c0_1 @ X70 )
| ( c3_1 @ X70 )
| ~ ( c2_1 @ X70 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl607]) ).
thf(zip_derived_cl4207,plain,
( ( c0_1 @ a124 )
<= ( c0_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1961]) ).
thf(zip_derived_cl1133_062,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1079]) ).
thf(zip_derived_cl281_063,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl607_064,plain,
( ~ ( c3_1 @ a124 )
<= ~ ( c3_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl974,plain,
( ( ~ ( c0_1 @ a124 )
| ( c2_1 @ a124 ) )
<= ( ~ ( c3_1 @ a124 )
& ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl607]) ).
thf(zip_derived_cl1072,plain,
( ( c2_1 @ a124 )
<= ( c2_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl974]) ).
thf(zip_derived_cl2317,plain,
( ~ ( c0_1 @ a124 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
& ( c2_1 @ a124 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1133,zip_derived_cl1072]) ).
thf('123',plain,
( ~ ( c0_1 @ a124 )
| ~ ( c2_1 @ a124 )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4207,zip_derived_cl2317]) ).
thf(zip_derived_cl3920,plain,
( ( c1_1 @ a124 )
<= ( c1_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl1197]) ).
thf(zip_derived_cl393_065,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl3924,plain,
( ( ( c0_1 @ a124 )
| ~ ( c2_1 @ a124 ) )
<= ( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c1_1 @ a124 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3920,zip_derived_cl393]) ).
thf('124',plain,
( ( c0_1 @ a124 )
| ~ ( c1_1 @ a124 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a124 ) ),
inference(split,[status(esa)],[zip_derived_cl3924]) ).
thf(zip_derived_cl3467_066,plain,
( ( c1_1 @ a103 )
<= ( c1_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl1191]) ).
thf(zip_derived_cl393_067,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl3471,plain,
( ( ( c0_1 @ a103 )
| ~ ( c2_1 @ a103 ) )
<= ( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c1_1 @ a103 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3467,zip_derived_cl393]) ).
thf('125',plain,
( ( c0_1 @ a103 )
| ~ ( c1_1 @ a103 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c2_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl3471]) ).
thf(zip_derived_cl1133_068,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c2_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1079]) ).
thf(zip_derived_cl281_069,plain,
( ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) )
<= ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl711_070,plain,
( ~ ( c3_1 @ a103 )
<= ~ ( c3_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl968,plain,
( ( ~ ( c0_1 @ a103 )
| ( c2_1 @ a103 ) )
<= ( ~ ( c3_1 @ a103 )
& ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl711]) ).
thf(zip_derived_cl1025,plain,
( ( c2_1 @ a103 )
<= ( c2_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl968]) ).
thf(zip_derived_cl2309,plain,
( ~ ( c0_1 @ a103 )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
& ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
& ( c2_1 @ a103 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1133,zip_derived_cl1025]) ).
thf(zip_derived_cl707,plain,
( ( c0_1 @ a103 )
<= ( c0_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf('126',plain,
( ~ ( c0_1 @ a103 )
| ~ ( c2_1 @ a103 )
| ~ ! [X19: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2309,zip_derived_cl707]) ).
thf(zip_derived_cl461_071,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl711_072,plain,
( ~ ( c3_1 @ a103 )
<= ~ ( c3_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl247_073,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl882,plain,
( ( ~ ( c0_1 @ a103 )
| ~ ( c1_1 @ a103 ) )
<= ( ~ ( c3_1 @ a103 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl247]) ).
thf(zip_derived_cl927,plain,
( ~ ( c1_1 @ a103 )
<= ~ ( c1_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl882]) ).
thf(zip_derived_cl2047,plain,
( ( ~ ( c2_1 @ a103 )
| ( c0_1 @ a103 ) )
<= ( ~ ( c1_1 @ a103 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl927]) ).
thf('127',plain,
( ( c0_1 @ a103 )
| ( c1_1 @ a103 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ~ ( c2_1 @ a103 ) ),
inference(split,[status(esa)],[zip_derived_cl2047]) ).
thf(zip_derived_cl189,plain,
( ~ hskp2
| ( c2_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('128',plain,
( ( c2_1 @ a99 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf(zip_derived_cl190,plain,
( ~ hskp2
| ~ ( c0_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('129',plain,
( ~ ( c0_1 @ a99 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl191,plain,
( ~ hskp2
| ~ ( c1_1 @ a99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('130',plain,
( ~ ( c1_1 @ a99 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl461_074,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl727,plain,
( ~ ( c1_1 @ a99 )
<= ~ ( c1_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl2045,plain,
( ( ~ ( c2_1 @ a99 )
| ( c0_1 @ a99 ) )
<= ( ~ ( c1_1 @ a99 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl461,zip_derived_cl727]) ).
thf('131',plain,
( ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) )
| ( c0_1 @ a99 )
| ( c1_1 @ a99 )
| ~ ( c2_1 @ a99 ) ),
inference(split,[status(esa)],[zip_derived_cl2045]) ).
thf('132',plain,
( hskp4
| hskp7
| ~ ndr1_0
| ! [X12: $i] :
( ( c2_1 @ X12 )
| ~ ( c0_1 @ X12 )
| ~ ( c3_1 @ X12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf('133',plain,
( ( c0_1 @ a105 )
| ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c1_1 @ a105 )
| ~ ( c2_1 @ a105 ) ),
inference(split,[status(esa)],[zip_derived_cl1696]) ).
thf(zip_derived_cl88,plain,
( ~ hskp27
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( ndr1_0
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl88]) ).
thf(zip_derived_cl188,plain,
( ~ hskp2
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('135',plain,
( ndr1_0
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl188]) ).
thf(zip_derived_cl10,plain,
( hskp27
| hskp9
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('136',plain,
( hskp27
| hskp9
| hskp2 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl365_075,plain,
( ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
<= ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl583,plain,
( ~ ( c3_1 @ a132 )
<= ~ ( c3_1 @ a132 ) ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl1822,plain,
( ( ( c2_1 @ a132 )
| ( c1_1 @ a132 ) )
<= ( ~ ( c3_1 @ a132 )
& ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl583]) ).
thf('137',plain,
( ( c1_1 @ a132 )
| ( c2_1 @ a132 )
| ~ ! [X50: $i] :
( ( c1_1 @ X50 )
| ( c2_1 @ X50 )
| ( c3_1 @ X50 ) )
| ( c3_1 @ a132 ) ),
inference(split,[status(esa)],[zip_derived_cl1822]) ).
thf(zip_derived_cl162,plain,
( ~ hskp9
| ( c2_1 @ a108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('138',plain,
( ( c2_1 @ a108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl161,plain,
( ~ hskp9
| ( c1_1 @ a108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('139',plain,
( ( c1_1 @ a108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl163,plain,
( ~ hskp9
| ~ ( c0_1 @ a108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('140',plain,
( ~ ( c0_1 @ a108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl667,plain,
( ( c1_1 @ a108 )
<= ( c1_1 @ a108 ) ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl393_076,plain,
( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
<= ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl1697,plain,
( ( ( c0_1 @ a108 )
| ~ ( c2_1 @ a108 ) )
<= ( ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
& ( c1_1 @ a108 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl667,zip_derived_cl393]) ).
thf('141',plain,
( ~ ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ~ ( c1_1 @ a108 )
| ( c0_1 @ a108 )
| ~ ( c2_1 @ a108 ) ),
inference(split,[status(esa)],[zip_derived_cl1697]) ).
thf(zip_derived_cl527_077,plain,
( ( c3_1 @ a101 )
<= ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl266_078,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1320,plain,
( ( ( c2_1 @ a101 )
| ~ ( c1_1 @ a101 ) )
<= ( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl266]) ).
thf('142',plain,
( ( c2_1 @ a101 )
| ~ ( c1_1 @ a101 )
| ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1320]) ).
thf(zip_derived_cl53,plain,
! [X65: $i,X66: $i,X67: $i] :
( ( c0_1 @ X65 )
| ~ ( c1_1 @ X65 )
| ~ ( c2_1 @ X65 )
| ~ ndr1_0
| ( c2_1 @ X66 )
| ~ ( c0_1 @ X66 )
| ~ ( c1_1 @ X66 )
| ~ ndr1_0
| ~ ( c0_1 @ X67 )
| ~ ( c1_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('143',plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ! [X63: $i] :
( ( c0_1 @ X63 )
| ~ ( c1_1 @ X63 )
| ~ ( c2_1 @ X63 ) )
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 )
| ~ ( c2_1 @ X1 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf('144',plain,
( ( c0_1 @ a113 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf('145',plain,
( ( c1_1 @ a113 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl151,plain,
( ~ hskp12
| ~ ( c2_1 @ a113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('146',plain,
( ~ ( c2_1 @ a113 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl645_079,plain,
( ( c1_1 @ a113 )
<= ( c1_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl277_080,plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
<= ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl1455,plain,
( ( ( c2_1 @ a113 )
| ~ ( c0_1 @ a113 ) )
<= ( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
& ( c1_1 @ a113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl645,zip_derived_cl277]) ).
thf('147',plain,
( ~ ( c0_1 @ a113 )
| ~ ( c1_1 @ a113 )
| ~ ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ( c2_1 @ a113 ) ),
inference(split,[status(esa)],[zip_derived_cl1455]) ).
thf(zip_derived_cl9,plain,
( hskp12
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('148',plain,
( hskp13
| hskp12 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf('149',plain,
( ( c1_1 @ a116 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl145,plain,
( ~ hskp13
| ( c0_1 @ a116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( ( c0_1 @ a116 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf('151',plain,
( ~ ( c3_1 @ a116 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl639_081,plain,
( ~ ( c3_1 @ a116 )
<= ~ ( c3_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf(zip_derived_cl247_082,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl850,plain,
( ( ~ ( c0_1 @ a116 )
| ~ ( c1_1 @ a116 ) )
<= ( ~ ( c3_1 @ a116 )
& ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl247]) ).
thf('152',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ( c0_1 @ a116 )
| ( c3_1 @ a116 )
| ~ ( c1_1 @ a116 ) ),
inference(split,[status(esa)],[zip_derived_cl850]) ).
thf(zip_derived_cl16,plain,
! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('153',plain,
( hskp0
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl197,plain,
( ~ hskp0
| ( c0_1 @ a97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('154',plain,
( ( c0_1 @ a97 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl313_083,plain,
( ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) )
<= ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl743_084,plain,
( ~ ( c3_1 @ a97 )
<= ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl1189,plain,
( ( ~ ( c2_1 @ a97 )
| ( c1_1 @ a97 ) )
<= ( ~ ( c3_1 @ a97 )
& ! [X27: $i] :
( ( c1_1 @ X27 )
| ( c3_1 @ X27 )
| ~ ( c2_1 @ X27 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl743]) ).
thf(zip_derived_cl3185,plain,
( ( c1_1 @ a97 )
<= ( c1_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl1189]) ).
thf(zip_derived_cl277_085,plain,
( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
<= ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl3188,plain,
( ( ( c2_1 @ a97 )
| ~ ( c0_1 @ a97 ) )
<= ( ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
& ( c1_1 @ a97 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3185,zip_derived_cl277]) ).
thf('155',plain,
( ~ ( c1_1 @ a97 )
| ~ ( c0_1 @ a97 )
| ~ ! [X13: $i] :
( ( c2_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) )
| ( c2_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl3188]) ).
thf(zip_derived_cl330_086,plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
<= ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl743_087,plain,
( ~ ( c3_1 @ a97 )
<= ~ ( c3_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl1280,plain,
( ( ~ ( c0_1 @ a97 )
| ( c1_1 @ a97 ) )
<= ( ~ ( c3_1 @ a97 )
& ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl743]) ).
thf('156',plain,
( ~ ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ( c1_1 @ a97 )
| ( c3_1 @ a97 )
| ~ ( c0_1 @ a97 ) ),
inference(split,[status(esa)],[zip_derived_cl1280]) ).
thf(zip_derived_cl89,plain,
( ~ hskp27
| ( c0_1 @ a101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ( c0_1 @ a101 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl89]) ).
thf('158',plain,
( ( c1_1 @ a101 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl90]) ).
thf('159',plain,
( ( c3_1 @ a101 )
| ~ hskp27 ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl19,plain,
! [X7: $i] :
( ( c3_1 @ X7 )
| ~ ( c0_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ndr1_0
| hskp27
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('160',plain,
( hskp27
| hskp19
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c1_1 @ X3 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl121,plain,
( ~ hskp19
| ( c1_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('161',plain,
( ( c1_1 @ a130 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp19
| ( c3_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( ( c3_1 @ a130 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl123,plain,
( ~ hskp19
| ~ ( c2_1 @ a130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ~ ( c2_1 @ a130 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl589,plain,
( ( c3_1 @ a130 )
<= ( c3_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf(zip_derived_cl266_088,plain,
( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
<= ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl1393,plain,
( ( ( c2_1 @ a130 )
| ~ ( c1_1 @ a130 ) )
<= ( ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
& ( c3_1 @ a130 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl266]) ).
thf('164',plain,
( ~ ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ( c3_1 @ a130 )
| ( c2_1 @ a130 )
| ~ ( c1_1 @ a130 ) ),
inference(split,[status(esa)],[zip_derived_cl1393]) ).
thf('165',plain,
( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| hskp18
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl37,plain,
! [X35: $i,X36: $i,X37: $i] :
( ( c1_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ( c0_1 @ X35 )
| ~ ndr1_0
| ( c2_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c0_1 @ X36 )
| ~ ndr1_0
| ( c2_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c3_1 @ X37 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( ! [X33: $i] :
( ( c1_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c0_1 @ X33 ) )
| ! [X8: $i] :
( ( c2_1 @ X8 )
| ~ ( c1_1 @ X8 )
| ~ ( c3_1 @ X8 ) )
| ~ ndr1_0
| ! [X14: $i] :
( ( c2_1 @ X14 )
| ( c3_1 @ X14 )
| ~ ( c0_1 @ X14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl527_089,plain,
( ( c3_1 @ a101 )
<= ( c3_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl91]) ).
thf(zip_derived_cl329_090,plain,
( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
<= ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1325,plain,
( ( ~ ( c0_1 @ a101 )
| ~ ( c1_1 @ a101 ) )
<= ( ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
& ( c3_1 @ a101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl329]) ).
thf('167',plain,
( ~ ! [X34: $i] :
( ~ ( c0_1 @ X34 )
| ~ ( c1_1 @ X34 )
| ~ ( c3_1 @ X34 ) )
| ~ ( c0_1 @ a101 )
| ~ ( c3_1 @ a101 )
| ~ ( c1_1 @ a101 ) ),
inference(split,[status(esa)],[zip_derived_cl1325]) ).
thf(zip_derived_cl7682,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']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3wkbZJEwnf true
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 20:50:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.21/0.60 % Total configuration time : 435
% 0.21/0.60 % Estimated wc time : 1092
% 0.21/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.94/1.59 % Solved by fo/fo1_av.sh.
% 6.94/1.59 % done 2228 iterations in 0.793s
% 6.94/1.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.94/1.59 % SZS output start Refutation
% See solution above
% 6.94/1.59
% 6.94/1.59
% 6.94/1.59 % Terminating...
% 7.30/1.68 % Runner terminated.
% 7.30/1.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------