%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN476+1 : TPTP v9.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3l75cetuGw true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:05:01 PM UTC 2025
% Result : Theorem 9.40s 1.97s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 751 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 4926 ( 0 equ; 0 cnn)
% Maximal formula atoms : 702 ( 6 avg)
% Number of connectives : 10739 (2674 ~;3076 |; 531 &;3890 @)
% ( 0 <=>; 218 =>; 350 <=; 0 <~>)
% Maximal formula depth : 107 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 69 usr; 66 con; 0-1 aty)
% Number of variables : 887 ( 0 ^; 887 !; 0 ?; 887 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp2_type,type,
hskp2: $o ).
thf(a1101_type,type,
a1101: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a1136_type,type,
a1136: $i ).
thf(a1113_type,type,
a1113: $i ).
thf(a1147_type,type,
a1147: $i ).
thf(a1111_type,type,
a1111: $i ).
thf(a1121_type,type,
a1121: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a1098_type,type,
a1098: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a1104_type,type,
a1104: $i ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a1099_type,type,
a1099: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a1102_type,type,
a1102: $i ).
thf(a1127_type,type,
a1127: $i ).
thf(a1145_type,type,
a1145: $i ).
thf(a1116_type,type,
a1116: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a1110_type,type,
a1110: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a1148_type,type,
a1148: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a1108_type,type,
a1108: $i ).
thf(a1114_type,type,
a1114: $i ).
thf(a1125_type,type,
a1125: $i ).
thf(a1131_type,type,
a1131: $i ).
thf(a1180_type,type,
a1180: $i ).
thf(a1124_type,type,
a1124: $i ).
thf(a1119_type,type,
a1119: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a1130_type,type,
a1130: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a1105_type,type,
a1105: $i ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(a1172_type,type,
a1172: $i ).
thf(a1107_type,type,
a1107: $i ).
thf(a1115_type,type,
a1115: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a1118_type,type,
a1118: $i ).
thf(hskp0_type,type,
hskp0: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a1103_type,type,
a1103: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a1149_type,type,
a1149: $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(a1100_type,type,
a1100: $i ).
thf(a1200_type,type,
a1200: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ ( c1_1 @ a1098 )
& ~ ( c2_1 @ a1098 )
& ~ ( c3_1 @ a1098 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a1099 )
& ( c2_1 @ a1099 )
& ~ ( c0_1 @ a1099 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a1100 )
& ( c2_1 @ a1100 )
& ~ ( c3_1 @ a1100 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a1101 )
& ( c2_1 @ a1101 )
& ~ ( c3_1 @ a1101 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a1102 )
& ( c1_1 @ a1102 )
& ~ ( c3_1 @ a1102 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c3_1 @ a1103 )
& ~ ( c0_1 @ a1103 )
& ~ ( c2_1 @ a1103 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a1104 )
& ( c1_1 @ a1104 )
& ~ ( c2_1 @ a1104 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1105 )
& ( c3_1 @ a1105 )
& ~ ( c1_1 @ a1105 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c3_1 @ a1107 )
& ~ ( c0_1 @ a1107 )
& ~ ( c1_1 @ a1107 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a1108 )
& ~ ( c1_1 @ a1108 )
& ~ ( c3_1 @ a1108 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c3_1 @ a1110 )
& ~ ( c1_1 @ a1110 )
& ~ ( c2_1 @ a1110 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a1113 )
& ( c3_1 @ a1113 )
& ~ ( c2_1 @ a1113 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a1114 )
& ~ ( c0_1 @ a1114 )
& ~ ( c3_1 @ a1114 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a1115 )
& ~ ( c1_1 @ a1115 )
& ~ ( c3_1 @ a1115 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c1_1 @ a1118 )
& ~ ( c2_1 @ a1118 )
& ~ ( c3_1 @ a1118 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a1119 )
& ~ ( c0_1 @ a1119 )
& ~ ( c2_1 @ a1119 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a1121 )
& ( c3_1 @ a1121 )
& ~ ( c0_1 @ a1121 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a1124 )
& ~ ( c1_1 @ a1124 )
& ~ ( c2_1 @ a1124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a1125 )
& ( c2_1 @ a1125 )
& ~ ( c1_1 @ a1125 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a1127 )
& ( c3_1 @ a1127 )
& ~ ( c2_1 @ a1127 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a1130 )
& ~ ( c2_1 @ a1130 )
& ~ ( c3_1 @ a1130 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a1131 )
& ~ ( c0_1 @ a1131 )
& ~ ( c3_1 @ a1131 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a1145 )
& ( c3_1 @ a1145 )
& ~ ( c1_1 @ a1145 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a1147 )
& ~ ( c2_1 @ a1147 )
& ~ ( c3_1 @ a1147 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c2_1 @ a1149 )
& ( c3_1 @ a1149 )
& ~ ( c0_1 @ a1149 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a1172 )
& ~ ( c0_1 @ a1172 )
& ~ ( c1_1 @ a1172 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a1180 )
& ~ ( c1_1 @ a1180 )
& ~ ( c2_1 @ a1180 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c0_1 @ a1200 )
& ~ ( c1_1 @ a1200 )
& ~ ( c3_1 @ a1200 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a1111 )
& ( c1_1 @ a1111 )
& ( c2_1 @ a1111 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a1116 )
& ( c2_1 @ a1116 )
& ( c3_1 @ a1116 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a1136 )
& ( c2_1 @ a1136 )
& ( c3_1 @ a1136 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a1148 )
& ( c1_1 @ a1148 )
& ( c3_1 @ a1148 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c2_1 @ V )
| ~ ( c3_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c3_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c3_1 @ X )
| ~ ( c1_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ~ ( c1_1 @ Z )
| ~ ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 ) ) ) )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ( c3_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c3_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 ) ) )
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c1_1 @ X7 )
| ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ) )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c1_1 @ X10 )
| ~ ( c0_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c3_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) ) )
| hskp4 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp5 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| hskp6
| hskp7 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| hskp6
| hskp8 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) )
| hskp9 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c2_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp3 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c1_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) )
| hskp10 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) )
| hskp28
| hskp2 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) )
| hskp11
| hskp12 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c1_1 @ X27 )
| ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) )
| hskp13 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c2_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp29 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| hskp7
| hskp14 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ( c3_1 @ X32 ) ) )
| hskp15 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c2_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| hskp2
| hskp16 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) ) )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) ) )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| hskp29 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp28
| hskp17 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp18
| hskp13 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| hskp19 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c2_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp16 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) ) )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c3_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) )
| hskp15 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c1_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c3_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) )
| hskp20 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp21
| hskp0 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c0_1 @ X60 ) ) )
| hskp4 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c0_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp21 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp7 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ~ ( c0_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp30 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ( c3_1 @ X67 ) ) )
| hskp7
| hskp5 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c2_1 @ X68 )
| ( c3_1 @ X68 ) ) )
| hskp19
| hskp8 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| hskp17
| hskp19 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp9 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c2_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 ) ) )
| hskp11 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp22
| hskp0 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) )
| hskp23 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c1_1 @ X80 )
| ( c3_1 @ X80 )
| ~ ( c0_1 @ X80 ) ) )
| hskp31
| hskp24 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c2_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp7 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c1_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp20 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c1_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c2_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp24 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c1_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp7
| hskp23 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c1_1 @ X88 )
| ~ ( c0_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp18
| hskp30 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 )
| ~ ( c3_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp2 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c1_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) )
| hskp19
| hskp14 )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 ) ) )
| hskp19
| hskp8 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c2_1 @ X93 )
| ~ ( c1_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| ! [X94: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c3_1 @ X94 ) ) )
| hskp28 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ( c2_1 @ X95 )
| ~ ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) ) )
| ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c2_1 @ X96 )
| ~ ( c3_1 @ X96 ) ) )
| hskp2 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ( c3_1 @ X97 )
| ~ ( c0_1 @ X97 )
| ~ ( c1_1 @ X97 ) ) )
| ! [X98: $i] :
( ndr1_0
=> ( ( c3_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) )
| hskp5 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c3_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ( c1_1 @ X99 ) ) )
| hskp18
| hskp15 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c3_1 @ X100 )
| ~ ( c0_1 @ X100 )
| ~ ( c2_1 @ X100 ) ) )
| hskp9
| hskp13 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ( c3_1 @ X101 )
| ~ ( c1_1 @ X101 )
| ~ ( c2_1 @ X101 ) ) )
| hskp30
| hskp21 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X102 )
| ~ ( c2_1 @ X102 )
| ~ ( c3_1 @ X102 ) ) )
| hskp18
| hskp25 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X103 )
| ~ ( c2_1 @ X103 )
| ~ ( c3_1 @ X103 ) ) )
| hskp9
| hskp19 )
& ( hskp6
| hskp21
| hskp24 )
& ( hskp4
| hskp3
| hskp26 )
& ( hskp18
| hskp16
| hskp26 )
& ( hskp18
| hskp19
| hskp25 )
& ( hskp7
| hskp23
| hskp13 )
& ( hskp11
| hskp17
| hskp25 )
& ( hskp23
| hskp30
| hskp0 )
& ( hskp23
| hskp14 )
& ( hskp16
| hskp13
| hskp27 )
& ( hskp19
| hskp12
| hskp26 ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( ~ hskp0
| ( ndr1_0
& ~ ( c1_1 @ a1098 )
& ~ ( c2_1 @ a1098 )
& ~ ( c3_1 @ a1098 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c1_1 @ a1099 )
& ( c2_1 @ a1099 )
& ~ ( c0_1 @ a1099 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a1100 )
& ( c2_1 @ a1100 )
& ~ ( c3_1 @ a1100 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a1101 )
& ( c2_1 @ a1101 )
& ~ ( c3_1 @ a1101 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a1102 )
& ( c1_1 @ a1102 )
& ~ ( c3_1 @ a1102 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c3_1 @ a1103 )
& ~ ( c0_1 @ a1103 )
& ~ ( c2_1 @ a1103 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a1104 )
& ( c1_1 @ a1104 )
& ~ ( c2_1 @ a1104 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1105 )
& ( c3_1 @ a1105 )
& ~ ( c1_1 @ a1105 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c3_1 @ a1107 )
& ~ ( c0_1 @ a1107 )
& ~ ( c1_1 @ a1107 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a1108 )
& ~ ( c1_1 @ a1108 )
& ~ ( c3_1 @ a1108 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c3_1 @ a1110 )
& ~ ( c1_1 @ a1110 )
& ~ ( c2_1 @ a1110 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a1113 )
& ( c3_1 @ a1113 )
& ~ ( c2_1 @ a1113 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a1114 )
& ~ ( c0_1 @ a1114 )
& ~ ( c3_1 @ a1114 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a1115 )
& ~ ( c1_1 @ a1115 )
& ~ ( c3_1 @ a1115 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c1_1 @ a1118 )
& ~ ( c2_1 @ a1118 )
& ~ ( c3_1 @ a1118 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a1119 )
& ~ ( c0_1 @ a1119 )
& ~ ( c2_1 @ a1119 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a1121 )
& ( c3_1 @ a1121 )
& ~ ( c0_1 @ a1121 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a1124 )
& ~ ( c1_1 @ a1124 )
& ~ ( c2_1 @ a1124 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a1125 )
& ( c2_1 @ a1125 )
& ~ ( c1_1 @ a1125 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a1127 )
& ( c3_1 @ a1127 )
& ~ ( c2_1 @ a1127 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a1130 )
& ~ ( c2_1 @ a1130 )
& ~ ( c3_1 @ a1130 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a1131 )
& ~ ( c0_1 @ a1131 )
& ~ ( c3_1 @ a1131 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a1145 )
& ( c3_1 @ a1145 )
& ~ ( c1_1 @ a1145 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c0_1 @ a1147 )
& ~ ( c2_1 @ a1147 )
& ~ ( c3_1 @ a1147 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c2_1 @ a1149 )
& ( c3_1 @ a1149 )
& ~ ( c0_1 @ a1149 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a1172 )
& ~ ( c0_1 @ a1172 )
& ~ ( c1_1 @ a1172 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c0_1 @ a1180 )
& ~ ( c1_1 @ a1180 )
& ~ ( c2_1 @ a1180 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c0_1 @ a1200 )
& ~ ( c1_1 @ a1200 )
& ~ ( c3_1 @ a1200 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a1111 )
& ( c1_1 @ a1111 )
& ( c2_1 @ a1111 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a1116 )
& ( c2_1 @ a1116 )
& ( c3_1 @ a1116 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a1136 )
& ( c2_1 @ a1136 )
& ( c3_1 @ a1136 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a1148 )
& ( c1_1 @ a1148 )
& ( c3_1 @ a1148 ) ) )
& ( ! [U: $i] :
( ndr1_0
=> ( ( c0_1 @ U )
| ( c1_1 @ U )
| ( c2_1 @ U ) ) )
| ! [V: $i] :
( ndr1_0
=> ( ( c0_1 @ V )
| ( c2_1 @ V )
| ~ ( c3_1 @ V ) ) )
| hskp0 )
& ( ! [W: $i] :
( ndr1_0
=> ( ( c0_1 @ W )
| ( c1_1 @ W )
| ( c3_1 @ W ) ) )
| ! [X: $i] :
( ndr1_0
=> ( ( c0_1 @ X )
| ( c3_1 @ X )
| ~ ( c1_1 @ X ) ) )
| hskp1 )
& ( ! [Y: $i] :
( ndr1_0
=> ( ( c0_1 @ Y )
| ( c1_1 @ Y )
| ( c3_1 @ Y ) ) )
| ! [Z: $i] :
( ndr1_0
=> ( ( c0_1 @ Z )
| ~ ( c1_1 @ Z )
| ~ ( c3_1 @ Z ) ) )
| ! [X1: $i] :
( ndr1_0
=> ( ( c3_1 @ X1 )
| ~ ( c0_1 @ X1 )
| ~ ( c1_1 @ X1 ) ) ) )
& ( ! [X2: $i] :
( ndr1_0
=> ( ( c0_1 @ X2 )
| ( c1_1 @ X2 )
| ( c3_1 @ X2 ) ) )
| ! [X3: $i] :
( ndr1_0
=> ( ( c1_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ( c3_1 @ X3 ) ) )
| hskp2 )
& ( ! [X4: $i] :
( ndr1_0
=> ( ( c0_1 @ X4 )
| ( c1_1 @ X4 )
| ( c3_1 @ X4 ) ) )
| ! [X5: $i] :
( ndr1_0
=> ( ( c3_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c2_1 @ X5 ) ) )
| hskp3 )
& ( ! [X6: $i] :
( ndr1_0
=> ( ( c0_1 @ X6 )
| ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 ) ) )
| ! [X7: $i] :
( ndr1_0
=> ( ( c1_1 @ X7 )
| ( c2_1 @ X7 )
| ~ ( c0_1 @ X7 ) ) )
| ! [X8: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 ) ) ) )
& ( ! [X9: $i] :
( ndr1_0
=> ( ( c0_1 @ X9 )
| ( c1_1 @ X9 )
| ~ ( c2_1 @ X9 ) ) )
| ! [X10: $i] :
( ndr1_0
=> ( ( c1_1 @ X10 )
| ~ ( c0_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) )
| ! [X11: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ) )
& ( ! [X12: $i] :
( ndr1_0
=> ( ( c0_1 @ X12 )
| ( c2_1 @ X12 )
| ( c3_1 @ X12 ) ) )
| ! [X13: $i] :
( ndr1_0
=> ( ( c3_1 @ X13 )
| ~ ( c0_1 @ X13 )
| ~ ( c1_1 @ X13 ) ) )
| hskp4 )
& ( ! [X14: $i] :
( ndr1_0
=> ( ( c0_1 @ X14 )
| ( c2_1 @ X14 )
| ( c3_1 @ X14 ) ) )
| ! [X15: $i] :
( ndr1_0
=> ( ( c3_1 @ X15 )
| ~ ( c1_1 @ X15 )
| ~ ( c2_1 @ X15 ) ) )
| hskp5 )
& ( ! [X16: $i] :
( ndr1_0
=> ( ( c0_1 @ X16 )
| ( c2_1 @ X16 )
| ( c3_1 @ X16 ) ) )
| hskp6
| hskp7 )
& ( ! [X17: $i] :
( ndr1_0
=> ( ( c0_1 @ X17 )
| ( c2_1 @ X17 )
| ( c3_1 @ X17 ) ) )
| hskp6
| hskp8 )
& ( ! [X18: $i] :
( ndr1_0
=> ( ( c0_1 @ X18 )
| ( c2_1 @ X18 )
| ~ ( c1_1 @ X18 ) ) )
| ! [X19: $i] :
( ndr1_0
=> ( ( c0_1 @ X19 )
| ~ ( c1_1 @ X19 )
| ~ ( c2_1 @ X19 ) ) )
| hskp9 )
& ( ! [X20: $i] :
( ndr1_0
=> ( ( c0_1 @ X20 )
| ( c2_1 @ X20 )
| ~ ( c1_1 @ X20 ) ) )
| ! [X21: $i] :
( ndr1_0
=> ( ( c0_1 @ X21 )
| ~ ( c2_1 @ X21 )
| ~ ( c3_1 @ X21 ) ) )
| hskp3 )
& ( ! [X22: $i] :
( ndr1_0
=> ( ( c0_1 @ X22 )
| ( c2_1 @ X22 )
| ~ ( c1_1 @ X22 ) ) )
| ! [X23: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X23 )
| ~ ( c2_1 @ X23 )
| ~ ( c3_1 @ X23 ) ) )
| hskp10 )
& ( ! [X24: $i] :
( ndr1_0
=> ( ( c0_1 @ X24 )
| ( c2_1 @ X24 )
| ~ ( c1_1 @ X24 ) ) )
| hskp28
| hskp2 )
& ( ! [X25: $i] :
( ndr1_0
=> ( ( c0_1 @ X25 )
| ( c2_1 @ X25 )
| ~ ( c1_1 @ X25 ) ) )
| hskp11
| hskp12 )
& ( ! [X26: $i] :
( ndr1_0
=> ( ( c0_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) )
| ! [X27: $i] :
( ndr1_0
=> ( ( c1_1 @ X27 )
| ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 ) ) )
| hskp13 )
& ( ! [X28: $i] :
( ndr1_0
=> ( ( c0_1 @ X28 )
| ( c2_1 @ X28 )
| ~ ( c3_1 @ X28 ) ) )
| ! [X29: $i] :
( ndr1_0
=> ( ( c2_1 @ X29 )
| ( c3_1 @ X29 )
| ~ ( c1_1 @ X29 ) ) )
| hskp29 )
& ( ! [X30: $i] :
( ndr1_0
=> ( ( c0_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 ) ) )
| hskp7
| hskp14 )
& ( ! [X31: $i] :
( ndr1_0
=> ( ( c0_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) )
| ! [X32: $i] :
( ndr1_0
=> ( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ( c3_1 @ X32 ) ) )
| hskp15 )
& ( ! [X33: $i] :
( ndr1_0
=> ( ( c0_1 @ X33 )
| ( c3_1 @ X33 )
| ~ ( c1_1 @ X33 ) ) )
| ! [X34: $i] :
( ndr1_0
=> ( ( c2_1 @ X34 )
| ( c3_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) )
| ! [X35: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X35 )
| ~ ( c2_1 @ X35 )
| ~ ( c3_1 @ X35 ) ) ) )
& ( ! [X36: $i] :
( ndr1_0
=> ( ( c0_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ( c2_1 @ X36 ) ) )
| hskp2
| hskp16 )
& ( ! [X37: $i] :
( ndr1_0
=> ( ( c0_1 @ X37 )
| ~ ( c1_1 @ X37 )
| ~ ( c2_1 @ X37 ) ) )
| ! [X38: $i] :
( ndr1_0
=> ( ( c1_1 @ X38 )
| ( c3_1 @ X38 )
| ~ ( c0_1 @ X38 ) ) )
| ! [X39: $i] :
( ndr1_0
=> ( ( c2_1 @ X39 )
| ~ ( c0_1 @ X39 )
| ~ ( c1_1 @ X39 ) ) ) )
& ( ! [X40: $i] :
( ndr1_0
=> ( ( c0_1 @ X40 )
| ~ ( c1_1 @ X40 )
| ~ ( c2_1 @ X40 ) ) )
| ! [X41: $i] :
( ndr1_0
=> ( ( c1_1 @ X41 )
| ( c3_1 @ X41 )
| ~ ( c0_1 @ X41 ) ) )
| ! [X42: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X42 )
| ~ ( c1_1 @ X42 )
| ~ ( c2_1 @ X42 ) ) ) )
& ( ! [X43: $i] :
( ndr1_0
=> ( ( c0_1 @ X43 )
| ~ ( c1_1 @ X43 )
| ~ ( c2_1 @ X43 ) ) )
| ! [X44: $i] :
( ndr1_0
=> ( ( c1_1 @ X44 )
| ( c3_1 @ X44 )
| ~ ( c0_1 @ X44 ) ) )
| hskp29 )
& ( ! [X45: $i] :
( ndr1_0
=> ( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c2_1 @ X45 ) ) )
| hskp28
| hskp17 )
& ( ! [X46: $i] :
( ndr1_0
=> ( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c2_1 @ X46 ) ) )
| hskp18
| hskp13 )
& ( ! [X47: $i] :
( ndr1_0
=> ( ( c0_1 @ X47 )
| ~ ( c1_1 @ X47 )
| ~ ( c3_1 @ X47 ) ) )
| ! [X48: $i] :
( ndr1_0
=> ( ( c1_1 @ X48 )
| ~ ( c2_1 @ X48 )
| ~ ( c3_1 @ X48 ) ) )
| hskp19 )
& ( ! [X49: $i] :
( ndr1_0
=> ( ( c0_1 @ X49 )
| ~ ( c1_1 @ X49 )
| ~ ( c3_1 @ X49 ) ) )
| ! [X50: $i] :
( ndr1_0
=> ( ( c2_1 @ X50 )
| ~ ( c0_1 @ X50 )
| ~ ( c3_1 @ X50 ) ) )
| hskp16 )
& ( ! [X51: $i] :
( ndr1_0
=> ( ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ( c3_1 @ X51 ) ) )
| ! [X52: $i] :
( ndr1_0
=> ( ( c3_1 @ X52 )
| ~ ( c0_1 @ X52 )
| ~ ( c1_1 @ X52 ) ) )
| ! [X53: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X53 )
| ~ ( c2_1 @ X53 )
| ~ ( c3_1 @ X53 ) ) ) )
& ( ! [X54: $i] :
( ndr1_0
=> ( ( c0_1 @ X54 )
| ~ ( c1_1 @ X54 )
| ~ ( c3_1 @ X54 ) ) )
| ! [X55: $i] :
( ndr1_0
=> ( ( c3_1 @ X55 )
| ~ ( c0_1 @ X55 )
| ~ ( c2_1 @ X55 ) ) )
| hskp15 )
& ( ! [X56: $i] :
( ndr1_0
=> ( ( c0_1 @ X56 )
| ~ ( c1_1 @ X56 )
| ~ ( c3_1 @ X56 ) ) )
| ! [X57: $i] :
( ndr1_0
=> ( ( c3_1 @ X57 )
| ~ ( c0_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) )
| hskp20 )
& ( ! [X58: $i] :
( ndr1_0
=> ( ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c3_1 @ X58 ) ) )
| hskp21
| hskp0 )
& ( ! [X59: $i] :
( ndr1_0
=> ( ( c0_1 @ X59 )
| ~ ( c2_1 @ X59 )
| ~ ( c3_1 @ X59 ) ) )
| ! [X60: $i] :
( ndr1_0
=> ( ( c1_1 @ X60 )
| ( c2_1 @ X60 )
| ~ ( c0_1 @ X60 ) ) )
| hskp4 )
& ( ! [X61: $i] :
( ndr1_0
=> ( ( c0_1 @ X61 )
| ~ ( c2_1 @ X61 )
| ~ ( c3_1 @ X61 ) ) )
| ! [X62: $i] :
( ndr1_0
=> ( ( c2_1 @ X62 )
| ~ ( c1_1 @ X62 )
| ~ ( c3_1 @ X62 ) ) )
| hskp21 )
& ( ! [X63: $i] :
( ndr1_0
=> ( ( c0_1 @ X63 )
| ~ ( c2_1 @ X63 )
| ~ ( c3_1 @ X63 ) ) )
| ! [X64: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X64 )
| ~ ( c2_1 @ X64 )
| ~ ( c3_1 @ X64 ) ) )
| hskp7 )
& ( ! [X65: $i] :
( ndr1_0
=> ( ( c1_1 @ X65 )
| ( c2_1 @ X65 )
| ( c3_1 @ X65 ) ) )
| ! [X66: $i] :
( ndr1_0
=> ( ( c1_1 @ X66 )
| ~ ( c0_1 @ X66 )
| ~ ( c3_1 @ X66 ) ) )
| hskp30 )
& ( ! [X67: $i] :
( ndr1_0
=> ( ( c1_1 @ X67 )
| ( c2_1 @ X67 )
| ( c3_1 @ X67 ) ) )
| hskp7
| hskp5 )
& ( ! [X68: $i] :
( ndr1_0
=> ( ( c1_1 @ X68 )
| ( c2_1 @ X68 )
| ( c3_1 @ X68 ) ) )
| hskp19
| hskp8 )
& ( ! [X69: $i] :
( ndr1_0
=> ( ( c1_1 @ X69 )
| ( c2_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) )
| hskp17
| hskp19 )
& ( ! [X70: $i] :
( ndr1_0
=> ( ( c1_1 @ X70 )
| ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 ) ) )
| ! [X71: $i] :
( ndr1_0
=> ( ( c1_1 @ X71 )
| ~ ( c0_1 @ X71 )
| ~ ( c2_1 @ X71 ) ) )
| hskp9 )
& ( ! [X72: $i] :
( ndr1_0
=> ( ( c1_1 @ X72 )
| ( c2_1 @ X72 )
| ~ ( c3_1 @ X72 ) ) )
| ! [X73: $i] :
( ndr1_0
=> ( ( c2_1 @ X73 )
| ( c3_1 @ X73 )
| ~ ( c1_1 @ X73 ) ) )
| hskp11 )
& ( ! [X74: $i] :
( ndr1_0
=> ( ( c1_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 ) ) )
| ! [X75: $i] :
( ndr1_0
=> ( ( c2_1 @ X75 )
| ~ ( c0_1 @ X75 )
| ~ ( c1_1 @ X75 ) ) )
| ! [X76: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X76 )
| ~ ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 ) ) ) )
& ( ! [X77: $i] :
( ndr1_0
=> ( ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 ) ) )
| hskp22
| hskp0 )
& ( ! [X78: $i] :
( ndr1_0
=> ( ( c1_1 @ X78 )
| ( c3_1 @ X78 )
| ~ ( c0_1 @ X78 ) ) )
| ! [X79: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ( c2_1 @ X79 ) ) )
| hskp23 )
& ( ! [X80: $i] :
( ndr1_0
=> ( ( c1_1 @ X80 )
| ( c3_1 @ X80 )
| ~ ( c0_1 @ X80 ) ) )
| hskp31
| hskp24 )
& ( ! [X81: $i] :
( ndr1_0
=> ( ( c1_1 @ X81 )
| ~ ( c0_1 @ X81 )
| ~ ( c2_1 @ X81 ) ) )
| ! [X82: $i] :
( ndr1_0
=> ( ( c2_1 @ X82 )
| ~ ( c0_1 @ X82 )
| ~ ( c3_1 @ X82 ) ) )
| hskp7 )
& ( ! [X83: $i] :
( ndr1_0
=> ( ( c1_1 @ X83 )
| ~ ( c0_1 @ X83 )
| ~ ( c2_1 @ X83 ) ) )
| ! [X84: $i] :
( ndr1_0
=> ( ( c2_1 @ X84 )
| ~ ( c0_1 @ X84 )
| ~ ( c3_1 @ X84 ) ) )
| hskp20 )
& ( ! [X85: $i] :
( ndr1_0
=> ( ( c1_1 @ X85 )
| ~ ( c0_1 @ X85 )
| ~ ( c2_1 @ X85 ) ) )
| ! [X86: $i] :
( ndr1_0
=> ( ( c3_1 @ X86 )
| ~ ( c1_1 @ X86 )
| ~ ( c2_1 @ X86 ) ) )
| hskp24 )
& ( ! [X87: $i] :
( ndr1_0
=> ( ( c1_1 @ X87 )
| ~ ( c0_1 @ X87 )
| ~ ( c2_1 @ X87 ) ) )
| hskp7
| hskp23 )
& ( ! [X88: $i] :
( ndr1_0
=> ( ( c1_1 @ X88 )
| ~ ( c0_1 @ X88 )
| ~ ( c3_1 @ X88 ) ) )
| hskp18
| hskp30 )
& ( ! [X89: $i] :
( ndr1_0
=> ( ( c1_1 @ X89 )
| ~ ( c2_1 @ X89 )
| ~ ( c3_1 @ X89 ) ) )
| ! [X90: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X90 )
| ~ ( c2_1 @ X90 )
| ~ ( c3_1 @ X90 ) ) )
| hskp2 )
& ( ! [X91: $i] :
( ndr1_0
=> ( ( c1_1 @ X91 )
| ~ ( c2_1 @ X91 )
| ~ ( c3_1 @ X91 ) ) )
| hskp19
| hskp14 )
& ( ! [X92: $i] :
( ndr1_0
=> ( ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ( c3_1 @ X92 ) ) )
| hskp19
| hskp8 )
& ( ! [X93: $i] :
( ndr1_0
=> ( ( c2_1 @ X93 )
| ~ ( c1_1 @ X93 )
| ~ ( c3_1 @ X93 ) ) )
| ! [X94: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X94 )
| ~ ( c1_1 @ X94 )
| ~ ( c3_1 @ X94 ) ) )
| hskp28 )
& ( ! [X95: $i] :
( ndr1_0
=> ( ( c2_1 @ X95 )
| ~ ( c1_1 @ X95 )
| ~ ( c3_1 @ X95 ) ) )
| ! [X96: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X96 )
| ~ ( c2_1 @ X96 )
| ~ ( c3_1 @ X96 ) ) )
| hskp2 )
& ( ! [X97: $i] :
( ndr1_0
=> ( ( c3_1 @ X97 )
| ~ ( c0_1 @ X97 )
| ~ ( c1_1 @ X97 ) ) )
| ! [X98: $i] :
( ndr1_0
=> ( ( c3_1 @ X98 )
| ~ ( c1_1 @ X98 )
| ~ ( c2_1 @ X98 ) ) )
| hskp5 )
& ( ! [X99: $i] :
( ndr1_0
=> ( ( c3_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ( c1_1 @ X99 ) ) )
| hskp18
| hskp15 )
& ( ! [X100: $i] :
( ndr1_0
=> ( ( c3_1 @ X100 )
| ~ ( c0_1 @ X100 )
| ~ ( c2_1 @ X100 ) ) )
| hskp9
| hskp13 )
& ( ! [X101: $i] :
( ndr1_0
=> ( ( c3_1 @ X101 )
| ~ ( c1_1 @ X101 )
| ~ ( c2_1 @ X101 ) ) )
| hskp30
| hskp21 )
& ( ! [X102: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ X102 )
| ~ ( c2_1 @ X102 )
| ~ ( c3_1 @ X102 ) ) )
| hskp18
| hskp25 )
& ( ! [X103: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ X103 )
| ~ ( c2_1 @ X103 )
| ~ ( c3_1 @ X103 ) ) )
| hskp9
| hskp19 )
& ( hskp6
| hskp21
| hskp24 )
& ( hskp4
| hskp3
| hskp26 )
& ( hskp18
| hskp16
| hskp26 )
& ( hskp18
| hskp19
| hskp25 )
& ( hskp7
| hskp23
| hskp13 )
& ( hskp11
| hskp17
| hskp25 )
& ( hskp23
| hskp30
| hskp0 )
& ( hskp23
| hskp14 )
& ( hskp16
| hskp13
| hskp27 )
& ( hskp19
| hskp12
| hskp26 ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl145,plain,
( ~ hskp13
| ( c2_1 @ a1115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl623,plain,
( ( c2_1 @ a1115 )
<= ( c2_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl22,plain,
! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 )
| ~ ndr1_0
| hskp7
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl277,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1520,plain,
( ( ( c1_1 @ a1115 )
| ~ ( c0_1 @ a1115 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ( c2_1 @ a1115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl277]) ).
thf('0',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c0_1 @ a1115 )
| ~ ( c2_1 @ a1115 )
| ( c1_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl1520]) ).
thf(zip_derived_cl36,plain,
! [X39: $i,X40: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 )
| ~ ndr1_0
| ~ ( c0_1 @ X40 )
| ~ ( c2_1 @ X40 )
| ~ ( c3_1 @ X40 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| hskp7
| ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl29,plain,
! [X27: $i,X28: $i,X29: $i] :
( ( c1_1 @ X27 )
| ( c2_1 @ X27 )
| ~ ( c3_1 @ X27 )
| ~ ndr1_0
| ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 )
| ~ ndr1_0
| ~ ( c0_1 @ X29 )
| ~ ( c2_1 @ X29 )
| ~ ( c3_1 @ X29 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
( ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
<= ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl155,plain,
( ~ hskp11
| ~ ( c2_1 @ a1113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl643,plain,
( ~ ( c2_1 @ a1113 )
<= ~ ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1184,plain,
( ( ~ ( c1_1 @ a1113 )
| ~ ( c0_1 @ a1113 ) )
<= ( ~ ( c2_1 @ a1113 )
& ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl643]) ).
thf('2',plain,
( ~ ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
| ~ ( c1_1 @ a1113 )
| ( c2_1 @ a1113 )
| ~ ( c0_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl1184]) ).
thf(zip_derived_cl21,plain,
! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 )
| ~ ndr1_0
| hskp18
| hskp30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl273,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl16,plain,
! [X7: $i,X8: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 )
| ~ ndr1_0
| ~ ( c0_1 @ X8 )
| ~ ( c2_1 @ X8 )
| ~ ( c3_1 @ X8 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl254,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl643_001,plain,
( ~ ( c2_1 @ a1113 )
<= ~ ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl791,plain,
( ( ~ ( c3_1 @ a1113 )
| ~ ( c1_1 @ a1113 ) )
<= ( ~ ( c2_1 @ a1113 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl643]) ).
thf(zip_derived_cl818,plain,
( ~ ( c1_1 @ a1113 )
<= ~ ( c1_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl791]) ).
thf(zip_derived_cl890,plain,
( ( ~ ( c3_1 @ a1113 )
| ~ ( c0_1 @ a1113 ) )
<= ( ~ ( c1_1 @ a1113 )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl818]) ).
thf('3',plain,
( ( c1_1 @ a1113 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c0_1 @ a1113 )
| ~ ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl890]) ).
thf(zip_derived_cl78,plain,
( ~ hskp30
| ( c2_1 @ a1136 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl489,plain,
( ( c2_1 @ a1136 )
<= ( c2_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl27,plain,
! [X24: $i,X25: $i] :
( ( c1_1 @ X24 )
| ( c3_1 @ X24 )
| ~ ( c0_1 @ X24 )
| ~ ndr1_0
| ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 )
| ~ ndr1_0
| hskp23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl297,plain,
( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1299,plain,
( ( ~ ( c0_1 @ a1136 )
| ~ ( c1_1 @ a1136 ) )
<= ( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
& ( c2_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl297]) ).
thf('4',plain,
( ~ ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ( c0_1 @ a1136 )
| ~ ( c2_1 @ a1136 )
| ~ ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl1299]) ).
thf(zip_derived_cl109,plain,
( ~ hskp22
| ( c2_1 @ a1145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl551,plain,
( ( c2_1 @ a1145 )
<= ( c2_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl11,plain,
! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 )
| ~ ndr1_0
| hskp18
| hskp25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl233,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1436,plain,
( ( ~ ( c0_1 @ a1145 )
| ~ ( c3_1 @ a1145 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a1145 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl233]) ).
thf('5',plain,
( ~ ( c0_1 @ a1145 )
| ~ ( c2_1 @ a1145 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl1436]) ).
thf(zip_derived_cl551_002,plain,
( ( c2_1 @ a1145 )
<= ( c2_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl334,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1576,plain,
( ( ( c0_1 @ a1145 )
| ~ ( c3_1 @ a1145 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c2_1 @ a1145 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl334]) ).
thf('6',plain,
( ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ( c0_1 @ a1145 )
| ~ ( c2_1 @ a1145 )
| ~ ( c3_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl1576]) ).
thf(zip_derived_cl56,plain,
! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 )
| ~ ndr1_0
| hskp11
| hskp12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('7',plain,
( hskp11
| hskp12
| ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl53,plain,
! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 )
| ~ ndr1_0
| hskp7
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl401,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl95,plain,
( ~ hskp26
| ~ ( c2_1 @ a1180 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl523,plain,
( ~ ( c2_1 @ a1180 )
<= ~ ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1880,plain,
( ( ~ ( c3_1 @ a1180 )
| ( c0_1 @ a1180 ) )
<= ( ~ ( c2_1 @ a1180 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl523]) ).
thf('8',plain,
( ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ~ ( c3_1 @ a1180 )
| ( c2_1 @ a1180 )
| ( c0_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl1880]) ).
thf(zip_derived_cl71,plain,
! [X107: $i,X108: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 )
| ~ ndr1_0
| ( c0_1 @ X108 )
| ( c2_1 @ X108 )
| ~ ( c3_1 @ X108 )
| ~ ndr1_0
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl474,plain,
( ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) )
<= ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl523_003,plain,
( ~ ( c2_1 @ a1180 )
<= ~ ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl2076,plain,
( ( ( c1_1 @ a1180 )
| ( c0_1 @ a1180 ) )
<= ( ~ ( c2_1 @ a1180 )
& ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl523]) ).
thf('9',plain,
( ( c0_1 @ a1180 )
| ( c1_1 @ a1180 )
| ~ ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) )
| ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl2076]) ).
thf(zip_derived_cl33,plain,
! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 )
| ~ ndr1_0
| hskp19
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl321,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl523_004,plain,
( ~ ( c2_1 @ a1180 )
<= ~ ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1418,plain,
( ( ( c3_1 @ a1180 )
| ( c1_1 @ a1180 ) )
<= ( ~ ( c2_1 @ a1180 )
& ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl523]) ).
thf('10',plain,
( ( c3_1 @ a1180 )
| ( c1_1 @ a1180 )
| ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
| ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl1418]) ).
thf(zip_derived_cl110,plain,
( ~ hskp22
| ( c3_1 @ a1145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('11',plain,
( ( c3_1 @ a1145 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl110]) ).
thf('12',plain,
( ( c2_1 @ a1145 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl111,plain,
( ~ hskp22
| ~ ( c1_1 @ a1145 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('13',plain,
( ~ ( c1_1 @ a1145 )
| ~ hskp22 ),
inference(split,[status(esa)],[zip_derived_cl111]) ).
thf(zip_derived_cl551_005,plain,
( ( c2_1 @ a1145 )
<= ( c2_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl109]) ).
thf(zip_derived_cl18,plain,
! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 )
| ~ ndr1_0
| hskp19
| hskp8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl261,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1439,plain,
( ( ( c1_1 @ a1145 )
| ~ ( c3_1 @ a1145 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c2_1 @ a1145 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl551,zip_derived_cl261]) ).
thf('14',plain,
( ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ( c2_1 @ a1145 )
| ( c1_1 @ a1145 )
| ~ ( c3_1 @ a1145 ) ),
inference(split,[status(esa)],[zip_derived_cl1439]) ).
thf(zip_derived_cl28,plain,
! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 )
| ~ ndr1_0
| hskp22
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('15',plain,
( hskp22
| hskp0
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl25,plain,
! [X21: $i,X22: $i] :
( ( c1_1 @ X21 )
| ~ ( c0_1 @ X21 )
| ~ ( c2_1 @ X21 )
| ~ ndr1_0
| ( c2_1 @ X22 )
| ~ ( c0_1 @ X22 )
| ~ ( c3_1 @ X22 )
| ~ ndr1_0
| hskp7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('16',plain,
( hskp7
| ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl25]) ).
thf(zip_derived_cl32,plain,
! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 )
| ~ ndr1_0
| hskp17
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl317,plain,
( ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
<= ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl198,plain,
( ~ hskp0
| ~ ( c2_1 @ a1098 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl729,plain,
( ~ ( c2_1 @ a1098 )
<= ~ ( c2_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl1349,plain,
( ( ~ ( c0_1 @ a1098 )
| ( c1_1 @ a1098 ) )
<= ( ~ ( c2_1 @ a1098 )
& ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl729]) ).
thf('17',plain,
( ~ ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ~ ( c0_1 @ a1098 )
| ( c1_1 @ a1098 )
| ( c2_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl1349]) ).
thf(zip_derived_cl41,plain,
! [X48: $i,X49: $i] :
( ( c0_1 @ X48 )
| ~ ( c1_1 @ X48 )
| ~ ( c3_1 @ X48 )
| ~ ndr1_0
| ( c3_1 @ X49 )
| ~ ( c0_1 @ X49 )
| ~ ( c2_1 @ X49 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('18',plain,
( hskp15
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf(zip_derived_cl67,plain,
! [X98: $i,X99: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 )
| ~ ndr1_0
| ( c3_1 @ X99 )
| ~ ( c0_1 @ X99 )
| ~ ( c2_1 @ X99 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl458,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl197,plain,
( ~ hskp0
| ~ ( c1_1 @ a1098 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl727,plain,
( ~ ( c1_1 @ a1098 )
<= ~ ( c1_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf(zip_derived_cl1996,plain,
( ( ( c3_1 @ a1098 )
| ( c0_1 @ a1098 ) )
<= ( ~ ( c1_1 @ a1098 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl727]) ).
thf('19',plain,
( ( c0_1 @ a1098 )
| ( c1_1 @ a1098 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ( c3_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl1996]) ).
thf('20',plain,
( ( c2_1 @ a1115 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl623_006,plain,
( ( c2_1 @ a1115 )
<= ( c2_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl145]) ).
thf(zip_derived_cl13,plain,
! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 )
| ~ ndr1_0
| hskp9
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl241,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1518,plain,
( ( ( c3_1 @ a1115 )
| ~ ( c0_1 @ a1115 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a1115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl623,zip_derived_cl241]) ).
thf('21',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c0_1 @ a1115 )
| ( c3_1 @ a1115 )
| ~ ( c2_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl1518]) ).
thf(zip_derived_cl55,plain,
! [X76: $i,X77: $i] :
( ( c0_1 @ X76 )
| ( c2_1 @ X76 )
| ~ ( c3_1 @ X76 )
| ~ ndr1_0
| ( c1_1 @ X77 )
| ( c2_1 @ X77 )
| ~ ( c3_1 @ X77 )
| ~ ndr1_0
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('22',plain,
( hskp13
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl55]) ).
thf(zip_derived_cl126,plain,
( ~ hskp18
| ( c2_1 @ a1125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl585,plain,
( ( c2_1 @ a1125 )
<= ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl241_007,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1475,plain,
( ( ( c3_1 @ a1125 )
| ~ ( c0_1 @ a1125 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a1125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl241]) ).
thf('23',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ( c3_1 @ a1125 )
| ~ ( c0_1 @ a1125 )
| ~ ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl1475]) ).
thf(zip_derived_cl24,plain,
! [X19: $i,X20: $i] :
( ( c1_1 @ X19 )
| ~ ( c0_1 @ X19 )
| ~ ( c2_1 @ X19 )
| ~ ndr1_0
| ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
( ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl123,plain,
( ~ hskp19
| ~ ( c2_1 @ a1127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl579,plain,
( ~ ( c2_1 @ a1127 )
<= ~ ( c2_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl979,plain,
( ( ~ ( c3_1 @ a1127 )
| ~ ( c0_1 @ a1127 ) )
<= ( ~ ( c2_1 @ a1127 )
& ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl579]) ).
thf('24',plain,
( ~ ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a1127 )
| ( c2_1 @ a1127 )
| ~ ( c3_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl979]) ).
thf(zip_derived_cl273_008,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl17,plain,
! [X9: $i,X10: $i] :
( ( c2_1 @ X9 )
| ~ ( c1_1 @ X9 )
| ~ ( c3_1 @ X9 )
| ~ ndr1_0
| ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 )
| ~ ndr1_0
| hskp28 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl257,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl882,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl257]) ).
thf(zip_derived_cl933,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl81,plain,
( ~ hskp29
| ( c0_1 @ a1116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl495,plain,
( ( c0_1 @ a1116 )
<= ( c0_1 @ a1116 ) ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl2105,plain,
( ~ ( c3_1 @ a1116 )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a1116 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl933,zip_derived_cl495]) ).
thf(zip_derived_cl83,plain,
( ~ hskp29
| ( c3_1 @ a1116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl499,plain,
( ( c3_1 @ a1116 )
<= ( c3_1 @ a1116 ) ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf('25',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c0_1 @ a1116 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c3_1 @ a1116 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2105,zip_derived_cl499]) ).
thf(zip_derived_cl82,plain,
( ~ hskp29
| ( c2_1 @ a1116 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('26',plain,
( ( c2_1 @ a1116 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf('27',plain,
( ( c3_1 @ a1116 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl83]) ).
thf(zip_derived_cl401_009,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl579_010,plain,
( ~ ( c2_1 @ a1127 )
<= ~ ( c2_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1877,plain,
( ( ~ ( c3_1 @ a1127 )
| ( c0_1 @ a1127 ) )
<= ( ~ ( c2_1 @ a1127 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl579]) ).
thf('28',plain,
( ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ( c0_1 @ a1127 )
| ( c2_1 @ a1127 )
| ~ ( c3_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl1877]) ).
thf(zip_derived_cl44,plain,
! [X55: $i,X56: $i] :
( ( c0_1 @ X55 )
| ~ ( c1_1 @ X55 )
| ~ ( c3_1 @ X55 )
| ~ ndr1_0
| ( c1_1 @ X56 )
| ~ ( c2_1 @ X56 )
| ~ ( c3_1 @ X56 )
| ~ ndr1_0
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('29',plain,
( hskp19
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl44]) ).
thf(zip_derived_cl69,plain,
! [X102: $i,X103: $i,X104: $i] :
( ( c0_1 @ X102 )
| ( c1_1 @ X102 )
| ( c3_1 @ X102 )
| ~ ndr1_0
| ( c0_1 @ X103 )
| ~ ( c1_1 @ X103 )
| ~ ( c3_1 @ X103 )
| ~ ndr1_0
| ( c3_1 @ X104 )
| ~ ( c0_1 @ X104 )
| ~ ( c1_1 @ X104 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('30',plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ndr1_0
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl69]) ).
thf(zip_derived_cl77,plain,
( ~ hskp30
| ( c1_1 @ a1136 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl487,plain,
( ( c1_1 @ a1136 )
<= ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl257_011,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1289,plain,
( ( ~ ( c0_1 @ a1136 )
| ~ ( c3_1 @ a1136 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl257]) ).
thf('31',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c0_1 @ a1136 )
| ~ ( c3_1 @ a1136 )
| ~ ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl1289]) ).
thf('32',plain,
( hskp14
| hskp7
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf('33',plain,
( ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) )
| hskp0
| ~ ndr1_0
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl474_012,plain,
( ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) )
<= ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) ) ),
inference(split,[status(esa)],[zip_derived_cl71]) ).
thf(zip_derived_cl179,plain,
( ~ hskp5
| ~ ( c2_1 @ a1103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl691,plain,
( ~ ( c2_1 @ a1103 )
<= ~ ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl2066,plain,
( ( ( c1_1 @ a1103 )
| ( c0_1 @ a1103 ) )
<= ( ~ ( c2_1 @ a1103 )
& ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl474,zip_derived_cl691]) ).
thf('34',plain,
( ( c1_1 @ a1103 )
| ~ ! [X107: $i] :
( ( c0_1 @ X107 )
| ( c1_1 @ X107 )
| ( c2_1 @ X107 ) )
| ( c0_1 @ a1103 )
| ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl2066]) ).
thf(zip_derived_cl401_013,plain,
( ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
<= ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ),
inference(split,[status(esa)],[zip_derived_cl53]) ).
thf(zip_derived_cl691_014,plain,
( ~ ( c2_1 @ a1103 )
<= ~ ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl1870,plain,
( ( ~ ( c3_1 @ a1103 )
| ( c0_1 @ a1103 ) )
<= ( ~ ( c2_1 @ a1103 )
& ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl691]) ).
thf('35',plain,
( ~ ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ( c0_1 @ a1103 )
| ( c2_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl1870]) ).
thf(zip_derived_cl321_015,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl118,plain,
( ~ hskp20
| ~ ( c2_1 @ a1130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl569,plain,
( ~ ( c2_1 @ a1130 )
<= ~ ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl1416,plain,
( ( ( c3_1 @ a1130 )
| ( c1_1 @ a1130 ) )
<= ( ~ ( c2_1 @ a1130 )
& ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl569]) ).
thf('36',plain,
( ( c1_1 @ a1130 )
| ( c3_1 @ a1130 )
| ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
| ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl1416]) ).
thf(zip_derived_cl301,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl643_016,plain,
( ~ ( c2_1 @ a1113 )
<= ~ ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1129,plain,
( ( ~ ( c3_1 @ a1113 )
| ( c1_1 @ a1113 ) )
<= ( ~ ( c2_1 @ a1113 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl643]) ).
thf(zip_derived_cl3391,plain,
( ( c1_1 @ a1113 )
<= ( c1_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl1129]) ).
thf(zip_derived_cl257_017,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl3404,plain,
( ( ~ ( c0_1 @ a1113 )
| ~ ( c3_1 @ a1113 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a1113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3391,zip_derived_cl257]) ).
thf('37',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c1_1 @ a1113 )
| ~ ( c0_1 @ a1113 )
| ~ ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl3404]) ).
thf(zip_derived_cl933_018,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl882]) ).
thf(zip_derived_cl153,plain,
( ~ hskp11
| ( c0_1 @ a1113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl639,plain,
( ( c0_1 @ a1113 )
<= ( c0_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl2100,plain,
( ~ ( c3_1 @ a1113 )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a1113 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl933,zip_derived_cl639]) ).
thf(zip_derived_cl154,plain,
( ~ hskp11
| ( c3_1 @ a1113 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl641,plain,
( ( c3_1 @ a1113 )
<= ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('38',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c0_1 @ a1113 )
| ~ ( c3_1 @ a1113 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2100,zip_derived_cl641]) ).
thf(zip_derived_cl285_019,plain,
( ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl643_020,plain,
( ~ ( c2_1 @ a1113 )
<= ~ ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl975,plain,
( ( ~ ( c3_1 @ a1113 )
| ~ ( c0_1 @ a1113 ) )
<= ( ~ ( c2_1 @ a1113 )
& ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl643]) ).
thf('39',plain,
( ~ ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a1113 )
| ( c2_1 @ a1113 )
| ~ ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl975]) ).
thf(zip_derived_cl68,plain,
! [X100: $i,X101: $i] :
( ( c0_1 @ X100 )
| ( c1_1 @ X100 )
| ( c3_1 @ X100 )
| ~ ndr1_0
| ( c1_1 @ X101 )
| ~ ( c2_1 @ X101 )
| ~ ( c3_1 @ X101 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('40',plain,
( hskp2
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ~ ndr1_0
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl68]) ).
thf(zip_derived_cl458_021,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl94,plain,
( ~ hskp26
| ~ ( c1_1 @ a1180 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl521,plain,
( ~ ( c1_1 @ a1180 )
<= ~ ( c1_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf(zip_derived_cl2014,plain,
( ( ( c3_1 @ a1180 )
| ( c0_1 @ a1180 ) )
<= ( ~ ( c1_1 @ a1180 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl521]) ).
thf('41',plain,
( ( c3_1 @ a1180 )
| ( c0_1 @ a1180 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ( c1_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl2014]) ).
thf(zip_derived_cl301_022,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl523_023,plain,
( ~ ( c2_1 @ a1180 )
<= ~ ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl1136,plain,
( ( ~ ( c3_1 @ a1180 )
| ( c1_1 @ a1180 ) )
<= ( ~ ( c2_1 @ a1180 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl523]) ).
thf('42',plain,
( ~ ( c3_1 @ a1180 )
| ( c1_1 @ a1180 )
| ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ( c2_1 @ a1180 ) ),
inference(split,[status(esa)],[zip_derived_cl1136]) ).
thf(zip_derived_cl93,plain,
( ~ hskp26
| ~ ( c0_1 @ a1180 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('43',plain,
( ~ ( c0_1 @ a1180 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl93]) ).
thf('44',plain,
( ~ ( c1_1 @ a1180 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl94]) ).
thf('45',plain,
( ~ ( c2_1 @ a1180 )
| ~ hskp26 ),
inference(split,[status(esa)],[zip_derived_cl95]) ).
thf(zip_derived_cl0,plain,
( hskp19
| hskp12
| hskp26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('46',plain,
( hskp19
| hskp26
| hskp12 ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(zip_derived_cl50,plain,
! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 )
| ~ ndr1_0
| hskp2
| hskp16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('47',plain,
( hskp2
| ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) )
| ~ ndr1_0
| hskp16 ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl149,plain,
( ~ hskp12
| ( c2_1 @ a1114 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl631,plain,
( ( c2_1 @ a1114 )
<= ( c2_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl389,plain,
( ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) )
<= ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) ) ),
inference(split,[status(esa)],[zip_derived_cl50]) ).
thf(zip_derived_cl1753,plain,
( ( ( c0_1 @ a1114 )
| ( c3_1 @ a1114 ) )
<= ( ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) )
& ( c2_1 @ a1114 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl389]) ).
thf('48',plain,
( ~ ! [X67: $i] :
( ( c0_1 @ X67 )
| ( c3_1 @ X67 )
| ~ ( c2_1 @ X67 ) )
| ( c0_1 @ a1114 )
| ~ ( c2_1 @ a1114 )
| ( c3_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl1753]) ).
thf(zip_derived_cl631_024,plain,
( ( c2_1 @ a1114 )
<= ( c2_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 )
| ~ ndr1_0
| hskp30
| hskp21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl237,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1524,plain,
( ( ( c3_1 @ a1114 )
| ~ ( c1_1 @ a1114 ) )
<= ( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
& ( c2_1 @ a1114 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl237]) ).
thf('49',plain,
( ~ ( c1_1 @ a1114 )
| ( c3_1 @ a1114 )
| ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl1524]) ).
thf('50',plain,
( ( c2_1 @ a1114 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl150,plain,
( ~ hskp12
| ~ ( c0_1 @ a1114 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('51',plain,
( ~ ( c0_1 @ a1114 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl150]) ).
thf(zip_derived_cl151,plain,
( ~ hskp12
| ~ ( c3_1 @ a1114 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('52',plain,
( ~ ( c3_1 @ a1114 )
| ~ hskp12 ),
inference(split,[status(esa)],[zip_derived_cl151]) ).
thf(zip_derived_cl301_025,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl691_026,plain,
( ~ ( c2_1 @ a1103 )
<= ~ ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl1126,plain,
( ( ~ ( c3_1 @ a1103 )
| ( c1_1 @ a1103 ) )
<= ( ~ ( c2_1 @ a1103 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl691]) ).
thf(zip_derived_cl3331,plain,
( ( c1_1 @ a1103 )
<= ( c1_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl1126]) ).
thf(zip_derived_cl39,plain,
! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 )
| ~ ndr1_0
| hskp21
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl345,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl3345,plain,
( ( ( c0_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
& ( c1_1 @ a1103 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3331,zip_derived_cl345]) ).
thf('53',plain,
( ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ( c1_1 @ a1103 )
| ( c0_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl3345]) ).
thf(zip_derived_cl101,plain,
( ~ hskp24
| ( c2_1 @ a1149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535,plain,
( ( c2_1 @ a1149 )
<= ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl65,plain,
! [X92: $i,X93: $i,X94: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 )
| ~ ndr1_0
| ( c1_1 @ X93 )
| ~ ( c0_1 @ X93 )
| ~ ( c3_1 @ X93 )
| ~ ndr1_0
| ~ ( c0_1 @ X94 )
| ~ ( c2_1 @ X94 )
| ~ ( c3_1 @ X94 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl451,plain,
( ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
<= ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl1805,plain,
( ( ( c0_1 @ a1149 )
| ( c1_1 @ a1149 ) )
<= ( ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
& ( c2_1 @ a1149 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl451]) ).
thf('54',plain,
( ~ ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
| ( c1_1 @ a1149 )
| ( c0_1 @ a1149 )
| ~ ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl1805]) ).
thf(zip_derived_cl535_027,plain,
( ( c2_1 @ a1149 )
<= ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl261_028,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1389,plain,
( ( ( c1_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c2_1 @ a1149 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl261]) ).
thf(zip_derived_cl5307,plain,
( ( c1_1 @ a1149 )
<= ( c1_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl1389]) ).
thf(zip_derived_cl345_029,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl5333,plain,
( ( ( c0_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
& ( c1_1 @ a1149 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5307,zip_derived_cl345]) ).
thf('55',plain,
( ~ ( c1_1 @ a1149 )
| ~ ( c3_1 @ a1149 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ( c0_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl5333]) ).
thf(zip_derived_cl133,plain,
( ~ hskp16
| ( c1_1 @ a1121 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('56',plain,
( ( c1_1 @ a1121 )
| ~ hskp16 ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl134,plain,
( ~ hskp16
| ( c3_1 @ a1121 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('57',plain,
( ~ hskp16
| ( c3_1 @ a1121 ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl135,plain,
( ~ hskp16
| ~ ( c0_1 @ a1121 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('58',plain,
( ~ hskp16
| ~ ( c0_1 @ a1121 ) ),
inference(split,[status(esa)],[zip_derived_cl135]) ).
thf(zip_derived_cl599,plain,
( ( c1_1 @ a1121 )
<= ( c1_1 @ a1121 ) ),
inference(split,[status(esa)],[zip_derived_cl133]) ).
thf(zip_derived_cl345_030,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1682,plain,
( ( ( c0_1 @ a1121 )
| ~ ( c3_1 @ a1121 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
& ( c1_1 @ a1121 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl599,zip_derived_cl345]) ).
thf('59',plain,
( ( c0_1 @ a1121 )
| ~ ( c3_1 @ a1121 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ( c1_1 @ a1121 ) ),
inference(split,[status(esa)],[zip_derived_cl1682]) ).
thf(zip_derived_cl121,plain,
( ~ hskp19
| ( c1_1 @ a1127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl575,plain,
( ( c1_1 @ a1127 )
<= ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl257_031,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1456,plain,
( ( ~ ( c0_1 @ a1127 )
| ~ ( c3_1 @ a1127 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a1127 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl257]) ).
thf('60',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c0_1 @ a1127 )
| ~ ( c3_1 @ a1127 )
| ~ ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl1456]) ).
thf(zip_derived_cl306_032,plain,
( ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
<= ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl579_033,plain,
( ~ ( c2_1 @ a1127 )
<= ~ ( c2_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1188,plain,
( ( ~ ( c1_1 @ a1127 )
| ~ ( c0_1 @ a1127 ) )
<= ( ~ ( c2_1 @ a1127 )
& ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl579]) ).
thf('61',plain,
( ~ ( c0_1 @ a1127 )
| ~ ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
| ( c2_1 @ a1127 )
| ~ ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl1188]) ).
thf(zip_derived_cl575_034,plain,
( ( c1_1 @ a1127 )
<= ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl345_035,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1683,plain,
( ( ( c0_1 @ a1127 )
| ~ ( c3_1 @ a1127 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
& ( c1_1 @ a1127 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl345]) ).
thf('62',plain,
( ( c0_1 @ a1127 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ( c3_1 @ a1127 )
| ~ ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl1683]) ).
thf('63',plain,
( hskp21
| hskp30
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl70,plain,
! [X105: $i,X106: $i] :
( ( c0_1 @ X105 )
| ( c1_1 @ X105 )
| ( c3_1 @ X105 )
| ~ ndr1_0
| ( c0_1 @ X106 )
| ( c3_1 @ X106 )
| ~ ( c1_1 @ X106 )
| ~ ndr1_0
| hskp1 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('64',plain,
( hskp1
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ~ ndr1_0
| ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) ),
inference(split,[status(esa)],[zip_derived_cl70]) ).
thf(zip_derived_cl458_036,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl146,plain,
( ~ hskp13
| ~ ( c1_1 @ a1115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl625,plain,
( ~ ( c1_1 @ a1115 )
<= ~ ( c1_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl2004,plain,
( ( ( c3_1 @ a1115 )
| ( c0_1 @ a1115 ) )
<= ( ~ ( c1_1 @ a1115 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl625]) ).
thf('65',plain,
( ( c0_1 @ a1115 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ( c1_1 @ a1115 )
| ( c3_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl2004]) ).
thf(zip_derived_cl26,plain,
! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 )
| ~ ndr1_0
| hskp31
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl293,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl625_037,plain,
( ~ ( c1_1 @ a1115 )
<= ~ ( c1_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl1057,plain,
( ( ~ ( c0_1 @ a1115 )
| ( c3_1 @ a1115 ) )
<= ( ~ ( c1_1 @ a1115 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl625]) ).
thf('66',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ( c0_1 @ a1115 )
| ( c1_1 @ a1115 )
| ( c3_1 @ a1115 ) ),
inference(split,[status(esa)],[zip_derived_cl1057]) ).
thf('67',plain,
( ~ ( c1_1 @ a1115 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl146]) ).
thf(zip_derived_cl147,plain,
( ~ hskp13
| ~ ( c3_1 @ a1115 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('68',plain,
( ~ ( c3_1 @ a1115 )
| ~ hskp13 ),
inference(split,[status(esa)],[zip_derived_cl147]) ).
thf('69',plain,
( hskp9
| hskp13
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf('70',plain,
( ( c2_1 @ a1136 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl489_038,plain,
( ( c2_1 @ a1136 )
<= ( c2_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 )
| ~ ndr1_0
| hskp9
| hskp19 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl229,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1293,plain,
( ( ~ ( c1_1 @ a1136 )
| ~ ( c3_1 @ a1136 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl229]) ).
thf('71',plain,
( ~ ( c2_1 @ a1136 )
| ~ ( c3_1 @ a1136 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl1293]) ).
thf(zip_derived_cl193,plain,
( ~ hskp1
| ( c1_1 @ a1099 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('72',plain,
( ( c1_1 @ a1099 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl193]) ).
thf(zip_derived_cl194,plain,
( ~ hskp1
| ( c2_1 @ a1099 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('73',plain,
( ( c2_1 @ a1099 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl195,plain,
( ~ hskp1
| ~ ( c0_1 @ a1099 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('74',plain,
( ~ ( c0_1 @ a1099 )
| ~ hskp1 ),
inference(split,[status(esa)],[zip_derived_cl195]) ).
thf(zip_derived_cl721,plain,
( ( c2_1 @ a1099 )
<= ( c2_1 @ a1099 ) ),
inference(split,[status(esa)],[zip_derived_cl194]) ).
thf(zip_derived_cl45,plain,
! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 )
| ~ ndr1_0
| hskp18
| hskp13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
<= ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1710,plain,
( ( ( c0_1 @ a1099 )
| ~ ( c1_1 @ a1099 ) )
<= ( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
& ( c2_1 @ a1099 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl369]) ).
thf('75',plain,
( ( c0_1 @ a1099 )
| ~ ( c1_1 @ a1099 )
| ~ ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
| ~ ( c2_1 @ a1099 ) ),
inference(split,[status(esa)],[zip_derived_cl1710]) ).
thf(zip_derived_cl60,plain,
! [X84: $i,X85: $i] :
( ( c0_1 @ X84 )
| ( c2_1 @ X84 )
| ~ ( c1_1 @ X84 )
| ~ ndr1_0
| ( c0_1 @ X85 )
| ~ ( c1_1 @ X85 )
| ~ ( c2_1 @ X85 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('76',plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
| hskp9
| ~ ndr1_0
| ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl20,plain,
! [X13: $i,X14: $i] :
( ( c1_1 @ X13 )
| ~ ( c2_1 @ X13 )
| ~ ( c3_1 @ X13 )
| ~ ndr1_0
| ~ ( c0_1 @ X14 )
| ~ ( c2_1 @ X14 )
| ~ ( c3_1 @ X14 )
| ~ ndr1_0
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('77',plain,
( hskp2
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ndr1_0
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl20]) ).
thf(zip_derived_cl585_039,plain,
( ( c2_1 @ a1125 )
<= ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl233_040,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1473,plain,
( ( ~ ( c0_1 @ a1125 )
| ~ ( c3_1 @ a1125 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a1125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl233]) ).
thf('78',plain,
( ~ ( c3_1 @ a1125 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c0_1 @ a1125 )
| ~ ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl1473]) ).
thf(zip_derived_cl293_041,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl127,plain,
( ~ hskp18
| ~ ( c1_1 @ a1125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587,plain,
( ~ ( c1_1 @ a1125 )
<= ~ ( c1_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl1061,plain,
( ( ~ ( c0_1 @ a1125 )
| ( c3_1 @ a1125 ) )
<= ( ~ ( c1_1 @ a1125 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl587]) ).
thf('79',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c3_1 @ a1125 )
| ( c1_1 @ a1125 )
| ~ ( c0_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl1061]) ).
thf(zip_derived_cl585_042,plain,
( ( c2_1 @ a1125 )
<= ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl261_043,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1476,plain,
( ( ( c1_1 @ a1125 )
| ~ ( c3_1 @ a1125 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c2_1 @ a1125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl261]) ).
thf('80',plain,
( ~ ( c3_1 @ a1125 )
| ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ( c1_1 @ a1125 )
| ~ ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl1476]) ).
thf(zip_derived_cl190,plain,
( ~ hskp2
| ( c2_1 @ a1100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl713,plain,
( ( c2_1 @ a1100 )
<= ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl237_044,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1648,plain,
( ( ( c3_1 @ a1100 )
| ~ ( c1_1 @ a1100 ) )
<= ( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
& ( c2_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl237]) ).
thf('81',plain,
( ~ ( c1_1 @ a1100 )
| ( c3_1 @ a1100 )
| ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl1648]) ).
thf(zip_derived_cl487_045,plain,
( ( c1_1 @ a1136 )
<= ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl345_046,plain,
( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
<= ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl1686,plain,
( ( ( c0_1 @ a1136 )
| ~ ( c3_1 @ a1136 ) )
<= ( ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
& ( c1_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl345]) ).
thf('82',plain,
( ( c0_1 @ a1136 )
| ~ ( c3_1 @ a1136 )
| ~ ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl1686]) ).
thf('83',plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
| ~ ndr1_0
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl413,plain,
( ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
<= ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl579_047,plain,
( ~ ( c2_1 @ a1127 )
<= ~ ( c2_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl1921,plain,
( ( ~ ( c1_1 @ a1127 )
| ( c0_1 @ a1127 ) )
<= ( ~ ( c2_1 @ a1127 )
& ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl579]) ).
thf('84',plain,
( ( c0_1 @ a1127 )
| ~ ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ( c2_1 @ a1127 )
| ~ ( c1_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl1921]) ).
thf(zip_derived_cl178,plain,
( ~ hskp5
| ~ ( c0_1 @ a1103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('85',plain,
( ~ ( c0_1 @ a1103 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl178]) ).
thf(zip_derived_cl413_048,plain,
( ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
<= ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl691_049,plain,
( ~ ( c2_1 @ a1103 )
<= ~ ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl1914,plain,
( ( ~ ( c1_1 @ a1103 )
| ( c0_1 @ a1103 ) )
<= ( ~ ( c2_1 @ a1103 )
& ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl691]) ).
thf('86',plain,
( ~ ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ~ ( c1_1 @ a1103 )
| ( c0_1 @ a1103 )
| ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl1914]) ).
thf(zip_derived_cl631_050,plain,
( ( c2_1 @ a1114 )
<= ( c2_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl149]) ).
thf(zip_derived_cl229_051,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1522,plain,
( ( ~ ( c1_1 @ a1114 )
| ~ ( c3_1 @ a1114 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a1114 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl631,zip_derived_cl229]) ).
thf(zip_derived_cl2618,plain,
( ~ ( c1_1 @ a1114 )
<= ~ ( c1_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl1522]) ).
thf(zip_derived_cl458_052,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl2624,plain,
( ( ( c0_1 @ a1114 )
| ( c3_1 @ a1114 ) )
<= ( ~ ( c1_1 @ a1114 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2618,zip_derived_cl458]) ).
thf('87',plain,
( ( c0_1 @ a1114 )
| ( c3_1 @ a1114 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ( c1_1 @ a1114 ) ),
inference(split,[status(esa)],[zip_derived_cl2624]) ).
thf(zip_derived_cl14,plain,
! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 )
| ~ ndr1_0
| hskp18
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('88',plain,
( hskp18
| hskp15
| ~ ndr1_0
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl317_053,plain,
( ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
<= ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl643_054,plain,
( ~ ( c2_1 @ a1113 )
<= ~ ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl1353,plain,
( ( ~ ( c0_1 @ a1113 )
| ( c1_1 @ a1113 ) )
<= ( ~ ( c2_1 @ a1113 )
& ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl643]) ).
thf('89',plain,
( ~ ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ( c1_1 @ a1113 )
| ~ ( c0_1 @ a1113 )
| ( c2_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl1353]) ).
thf('90',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1113 )
| ( c2_1 @ a1113 )
| ~ ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl791]) ).
thf('91',plain,
( ~ ( c2_1 @ a1113 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl155]) ).
thf(zip_derived_cl74,plain,
( ~ hskp31
| ( c1_1 @ a1148 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl481,plain,
( ( c1_1 @ a1148 )
<= ( c1_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl254_055,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl233_056,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl786,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl233]) ).
thf(zip_derived_cl810,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl786]) ).
thf(zip_derived_cl1264,plain,
( ( ~ ( c0_1 @ a1148 )
| ~ ( c3_1 @ a1148 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ( c1_1 @ a1148 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl810]) ).
thf('92',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a1148 )
| ~ ( c1_1 @ a1148 )
| ~ ( c0_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl1264]) ).
thf(zip_derived_cl52,plain,
! [X71: $i,X72: $i] :
( ( c0_1 @ X71 )
| ( c3_1 @ X71 )
| ~ ( c1_1 @ X71 )
| ~ ndr1_0
| ( c1_1 @ X72 )
| ( c2_1 @ X72 )
| ( c3_1 @ X72 )
| ~ ndr1_0
| hskp15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('93',plain,
( hskp15
| ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) )
| ~ ndr1_0
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl52]) ).
thf(zip_derived_cl321_057,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl106,plain,
( ~ hskp23
| ~ ( c2_1 @ a1147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl545,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1417,plain,
( ( ( c3_1 @ a1147 )
| ( c1_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl545]) ).
thf('94',plain,
( ( c1_1 @ a1147 )
| ( c3_1 @ a1147 )
| ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
| ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1417]) ).
thf('95',plain,
( hskp3
| ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ~ ndr1_0
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl413_058,plain,
( ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
<= ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl569_059,plain,
( ~ ( c2_1 @ a1130 )
<= ~ ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl1922,plain,
( ( ~ ( c1_1 @ a1130 )
| ( c0_1 @ a1130 ) )
<= ( ~ ( c2_1 @ a1130 )
& ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl569]) ).
thf('96',plain,
( ~ ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ~ ( c1_1 @ a1130 )
| ( c0_1 @ a1130 )
| ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl1922]) ).
thf(zip_derived_cl117,plain,
( ~ hskp20
| ~ ( c0_1 @ a1130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('97',plain,
( ~ ( c0_1 @ a1130 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl117]) ).
thf('98',plain,
( hskp20
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ndr1_0
| ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl23,plain,
! [X17: $i,X18: $i] :
( ( c1_1 @ X17 )
| ~ ( c0_1 @ X17 )
| ~ ( c2_1 @ X17 )
| ~ ndr1_0
| ( c3_1 @ X18 )
| ~ ( c1_1 @ X18 )
| ~ ( c2_1 @ X18 )
| ~ ndr1_0
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('99',plain,
( hskp24
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ndr1_0
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl23]) ).
thf(zip_derived_cl585_060,plain,
( ( c2_1 @ a1125 )
<= ( c2_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf(zip_derived_cl277_061,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1477,plain,
( ( ( c1_1 @ a1125 )
| ~ ( c0_1 @ a1125 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ( c2_1 @ a1125 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl277]) ).
thf('100',plain,
( ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c0_1 @ a1125 )
| ~ ( c2_1 @ a1125 )
| ( c1_1 @ a1125 ) ),
inference(split,[status(esa)],[zip_derived_cl1477]) ).
thf('101',plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl125,plain,
( ~ hskp18
| ( c0_1 @ a1125 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('102',plain,
( ( c0_1 @ a1125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl125]) ).
thf('103',plain,
( ( c2_1 @ a1125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl126]) ).
thf('104',plain,
( ~ ( c1_1 @ a1125 )
| ~ hskp18 ),
inference(split,[status(esa)],[zip_derived_cl127]) ).
thf(zip_derived_cl254_062,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl175,plain,
( ~ hskp6
| ~ ( c2_1 @ a1104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
( ~ ( c2_1 @ a1104 )
<= ~ ( c2_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl789,plain,
( ( ~ ( c3_1 @ a1104 )
| ~ ( c1_1 @ a1104 ) )
<= ( ~ ( c2_1 @ a1104 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl683]) ).
thf('105',plain,
( ~ ( c3_1 @ a1104 )
| ( c2_1 @ a1104 )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl789]) ).
thf(zip_derived_cl306_063,plain,
( ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
<= ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ),
inference(split,[status(esa)],[zip_derived_cl29]) ).
thf(zip_derived_cl683_064,plain,
( ~ ( c2_1 @ a1104 )
<= ~ ( c2_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl1182,plain,
( ( ~ ( c1_1 @ a1104 )
| ~ ( c0_1 @ a1104 ) )
<= ( ~ ( c2_1 @ a1104 )
& ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl683]) ).
thf('106',plain,
( ~ ( c0_1 @ a1104 )
| ( c2_1 @ a1104 )
| ~ ! [X28: $i] :
( ( c2_1 @ X28 )
| ~ ( c0_1 @ X28 )
| ~ ( c1_1 @ X28 ) )
| ~ ( c1_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl1182]) ).
thf('107',plain,
( ~ ( c2_1 @ a1104 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl285_065,plain,
( ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
<= ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ),
inference(split,[status(esa)],[zip_derived_cl24]) ).
thf(zip_derived_cl683_066,plain,
( ~ ( c2_1 @ a1104 )
<= ~ ( c2_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl175]) ).
thf(zip_derived_cl973,plain,
( ( ~ ( c3_1 @ a1104 )
| ~ ( c0_1 @ a1104 ) )
<= ( ~ ( c2_1 @ a1104 )
& ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl683]) ).
thf('108',plain,
( ~ ( c3_1 @ a1104 )
| ( c2_1 @ a1104 )
| ~ ! [X20: $i] :
( ( c2_1 @ X20 )
| ~ ( c0_1 @ X20 )
| ~ ( c3_1 @ X20 ) )
| ~ ( c0_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl973]) ).
thf(zip_derived_cl173,plain,
( ~ hskp6
| ( c0_1 @ a1104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('109',plain,
( ( c0_1 @ a1104 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl173]) ).
thf(zip_derived_cl174,plain,
( ~ hskp6
| ( c1_1 @ a1104 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('110',plain,
( ( c1_1 @ a1104 )
| ~ hskp6 ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl681,plain,
( ( c1_1 @ a1104 )
<= ( c1_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl174]) ).
thf(zip_derived_cl245,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1601,plain,
( ( ( c3_1 @ a1104 )
| ~ ( c0_1 @ a1104 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1104 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl681,zip_derived_cl245]) ).
thf('111',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ( c3_1 @ a1104 )
| ~ ( c0_1 @ a1104 )
| ~ ( c1_1 @ a1104 ) ),
inference(split,[status(esa)],[zip_derived_cl1601]) ).
thf('112',plain,
( hskp18
| hskp25
| ~ ndr1_0
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl9,plain,
( hskp6
| hskp21
| hskp24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('113',plain,
( hskp21
| hskp6
| hskp24 ),
inference(split,[status(esa)],[zip_derived_cl9]) ).
thf(zip_derived_cl113,plain,
( ~ hskp21
| ( c1_1 @ a1131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('114',plain,
( ( c1_1 @ a1131 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl114,plain,
( ~ hskp21
| ~ ( c0_1 @ a1131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('115',plain,
( ~ ( c0_1 @ a1131 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl114]) ).
thf(zip_derived_cl115,plain,
( ~ hskp21
| ~ ( c3_1 @ a1131 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('116',plain,
( ~ ( c3_1 @ a1131 )
| ~ hskp21 ),
inference(split,[status(esa)],[zip_derived_cl115]) ).
thf(zip_derived_cl559,plain,
( ( c1_1 @ a1131 )
<= ( c1_1 @ a1131 ) ),
inference(split,[status(esa)],[zip_derived_cl113]) ).
thf(zip_derived_cl51,plain,
! [X68: $i,X69: $i,X70: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 )
| ~ ndr1_0
| ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 )
| ~ ndr1_0
| ~ ( c0_1 @ X70 )
| ~ ( c2_1 @ X70 )
| ~ ( c3_1 @ X70 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl395,plain,
( ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) )
<= ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl1778,plain,
( ( ( c0_1 @ a1131 )
| ( c3_1 @ a1131 ) )
<= ( ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) )
& ( c1_1 @ a1131 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl395]) ).
thf('117',plain,
( ~ ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) )
| ~ ( c1_1 @ a1131 )
| ( c0_1 @ a1131 )
| ( c3_1 @ a1131 ) ),
inference(split,[status(esa)],[zip_derived_cl1778]) ).
thf(zip_derived_cl97,plain,
( ~ hskp25
| ( c2_1 @ a1172 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('118',plain,
( ( c2_1 @ a1172 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl98,plain,
( ~ hskp25
| ~ ( c0_1 @ a1172 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('119',plain,
( ~ ( c0_1 @ a1172 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl98]) ).
thf(zip_derived_cl99,plain,
( ~ hskp25
| ~ ( c1_1 @ a1172 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('120',plain,
( ~ ( c1_1 @ a1172 )
| ~ hskp25 ),
inference(split,[status(esa)],[zip_derived_cl99]) ).
thf(zip_derived_cl527,plain,
( ( c2_1 @ a1172 )
<= ( c2_1 @ a1172 ) ),
inference(split,[status(esa)],[zip_derived_cl97]) ).
thf(zip_derived_cl451_067,plain,
( ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
<= ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) ),
inference(split,[status(esa)],[zip_derived_cl65]) ).
thf(zip_derived_cl1806,plain,
( ( ( c0_1 @ a1172 )
| ( c1_1 @ a1172 ) )
<= ( ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
& ( c2_1 @ a1172 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl527,zip_derived_cl451]) ).
thf('121',plain,
( ( c0_1 @ a1172 )
| ( c1_1 @ a1172 )
| ~ ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) )
| ~ ( c2_1 @ a1172 ) ),
inference(split,[status(esa)],[zip_derived_cl1806]) ).
thf('122',plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X69: $i] :
( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) )
| ~ ndr1_0
| ! [X68: $i] :
( ( c0_1 @ X68 )
| ( c3_1 @ X68 )
| ~ ( c1_1 @ X68 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl66,plain,
! [X95: $i,X96: $i,X97: $i] :
( ( c0_1 @ X95 )
| ( c1_1 @ X95 )
| ~ ( c2_1 @ X95 )
| ~ ndr1_0
| ( c1_1 @ X96 )
| ( c2_1 @ X96 )
| ~ ( c0_1 @ X96 )
| ~ ndr1_0
| ~ ( c1_1 @ X97 )
| ~ ( c2_1 @ X97 )
| ~ ( c3_1 @ X97 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('123',plain,
( ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0
| ! [X92: $i] :
( ( c0_1 @ X92 )
| ( c1_1 @ X92 )
| ~ ( c2_1 @ X92 ) ) ),
inference(split,[status(esa)],[zip_derived_cl66]) ).
thf(zip_derived_cl394,plain,
( ! [X69: $i] :
( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) )
<= ! [X69: $i] :
( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) ),
inference(split,[status(esa)],[zip_derived_cl51]) ).
thf(zip_derived_cl545_068,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1837,plain,
( ( ~ ( c0_1 @ a1147 )
| ( c3_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X69: $i] :
( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl545]) ).
thf('124',plain,
( ~ ! [X69: $i] :
( ( c2_1 @ X69 )
| ( c3_1 @ X69 )
| ~ ( c0_1 @ X69 ) )
| ( c2_1 @ a1147 )
| ~ ( c0_1 @ a1147 )
| ( c3_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1837]) ).
thf(zip_derived_cl87,plain,
( ~ hskp28
| ( c2_1 @ a1111 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl507,plain,
( ( c2_1 @ a1111 )
<= ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl297_069,plain,
( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1341,plain,
( ( ~ ( c0_1 @ a1111 )
| ~ ( c1_1 @ a1111 ) )
<= ( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
& ( c2_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl297]) ).
thf('125',plain,
( ~ ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ( c0_1 @ a1111 )
| ~ ( c2_1 @ a1111 )
| ~ ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1341]) ).
thf('126',plain,
( ( c0_1 @ a1113 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf('127',plain,
( ( c3_1 @ a1113 )
| ~ hskp11 ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl30,plain,
! [X30: $i,X31: $i] :
( ( c1_1 @ X30 )
| ( c2_1 @ X30 )
| ~ ( c3_1 @ X30 )
| ~ ndr1_0
| ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 )
| ~ ndr1_0
| hskp11 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('128',plain,
( hskp11
| ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl691_070,plain,
( ~ ( c2_1 @ a1103 )
<= ~ ( c2_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf(zip_derived_cl254_071,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl812,plain,
( ( ~ ( c1_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) )
<= ( ~ ( c2_1 @ a1103 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl254]) ).
thf('129',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1103 )
| ( c2_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl812]) ).
thf('130',plain,
( ~ ( c2_1 @ a1103 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl179]) ).
thf('131',plain,
( ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ( c1_1 @ a1103 )
| ( c2_1 @ a1103 )
| ~ ( c3_1 @ a1103 ) ),
inference(split,[status(esa)],[zip_derived_cl1126]) ).
thf(zip_derived_cl34,plain,
! [X36: $i] :
( ( c1_1 @ X36 )
| ( c2_1 @ X36 )
| ( c3_1 @ X36 )
| ~ ndr1_0
| hskp7
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('132',plain,
( hskp5
| hskp7
| ~ ndr1_0
| ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl34]) ).
thf(zip_derived_cl169,plain,
( ~ hskp7
| ( c0_1 @ a1105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('133',plain,
( ( c0_1 @ a1105 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl169]) ).
thf(zip_derived_cl170,plain,
( ~ hskp7
| ( c3_1 @ a1105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('134',plain,
( ( c3_1 @ a1105 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl171,plain,
( ~ hskp7
| ~ ( c1_1 @ a1105 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('135',plain,
( ~ ( c1_1 @ a1105 )
| ~ hskp7 ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl273_072,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl675,plain,
( ~ ( c1_1 @ a1105 )
<= ~ ( c1_1 @ a1105 ) ),
inference(split,[status(esa)],[zip_derived_cl171]) ).
thf(zip_derived_cl886,plain,
( ( ~ ( c3_1 @ a1105 )
| ~ ( c0_1 @ a1105 ) )
<= ( ~ ( c1_1 @ a1105 )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl675]) ).
thf('136',plain,
( ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ( c0_1 @ a1105 )
| ( c1_1 @ a1105 )
| ~ ( c3_1 @ a1105 ) ),
inference(split,[status(esa)],[zip_derived_cl886]) ).
thf(zip_derived_cl35,plain,
! [X37: $i,X38: $i] :
( ( c1_1 @ X37 )
| ( c2_1 @ X37 )
| ( c3_1 @ X37 )
| ~ ndr1_0
| ( c1_1 @ X38 )
| ~ ( c0_1 @ X38 )
| ~ ( c3_1 @ X38 )
| ~ ndr1_0
| hskp30 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('137',plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
| hskp30
| ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(zip_derived_cl639_073,plain,
( ( c0_1 @ a1113 )
<= ( c0_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl153]) ).
thf(zip_derived_cl254_074,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl229_075,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl785,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl229]) ).
thf(zip_derived_cl809,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl273_076,plain,
( ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
<= ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference(split,[status(esa)],[zip_derived_cl21]) ).
thf(zip_derived_cl903,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl809,zip_derived_cl273]) ).
thf(zip_derived_cl926,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl903]) ).
thf(zip_derived_cl1529,plain,
( ~ ( c3_1 @ a1113 )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) )
& ( c0_1 @ a1113 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl926]) ).
thf(zip_derived_cl641_077,plain,
( ( c3_1 @ a1113 )
<= ( c3_1 @ a1113 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('138',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c3_1 @ a1113 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c0_1 @ a1113 )
| ~ ! [X15: $i] :
( ( c1_1 @ X15 )
| ~ ( c0_1 @ X15 )
| ~ ( c3_1 @ X15 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl641]) ).
thf(zip_derived_cl309,plain,
( ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
<= ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl545_078,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1245,plain,
( ( ~ ( c1_1 @ a1147 )
| ( c3_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl545]) ).
thf('139',plain,
( ~ ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
| ~ ( c1_1 @ a1147 )
| ( c2_1 @ a1147 )
| ( c3_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1245]) ).
thf(zip_derived_cl535_079,plain,
( ( c2_1 @ a1149 )
<= ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl229_080,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1385,plain,
( ( ~ ( c1_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a1149 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl229]) ).
thf('140',plain,
( ~ ( c1_1 @ a1149 )
| ~ ( c3_1 @ a1149 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl1385]) ).
thf('141',plain,
( ~ ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ( c1_1 @ a1149 )
| ~ ( c2_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl1389]) ).
thf(zip_derived_cl19,plain,
! [X12: $i] :
( ( c1_1 @ X12 )
| ~ ( c2_1 @ X12 )
| ~ ( c3_1 @ X12 )
| ~ ndr1_0
| hskp19
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('142',plain,
( hskp14
| hskp19
| ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl19]) ).
thf(zip_derived_cl309_081,plain,
( ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
<= ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl142,plain,
( ~ hskp14
| ~ ( c2_1 @ a1118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl617,plain,
( ~ ( c2_1 @ a1118 )
<= ~ ( c2_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl1240,plain,
( ( ~ ( c1_1 @ a1118 )
| ( c3_1 @ a1118 ) )
<= ( ~ ( c2_1 @ a1118 )
& ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl617]) ).
thf('143',plain,
( ~ ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
| ( c2_1 @ a1118 )
| ( c3_1 @ a1118 )
| ~ ( c1_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl1240]) ).
thf('144',plain,
( ( c1_1 @ a1136 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl79,plain,
( ~ hskp30
| ( c3_1 @ a1136 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('145',plain,
( ( c3_1 @ a1136 )
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf(zip_derived_cl487_082,plain,
( ( c1_1 @ a1136 )
<= ( c1_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl77]) ).
thf(zip_derived_cl809_083,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl1285,plain,
( ~ ( c3_1 @ a1136 )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ( c1_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl809]) ).
thf(zip_derived_cl491,plain,
( ( c3_1 @ a1136 )
<= ( c3_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl79]) ).
thf('146',plain,
( ~ ( c1_1 @ a1136 )
| ~ ( c3_1 @ a1136 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1285,zip_derived_cl491]) ).
thf(zip_derived_cl75,plain,
( ~ hskp31
| ( c3_1 @ a1148 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl483,plain,
( ( c3_1 @ a1148 )
<= ( c3_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl481_084,plain,
( ( c1_1 @ a1148 )
<= ( c1_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl809_085,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl785]) ).
thf(zip_derived_cl1263,plain,
( ~ ( c3_1 @ a1148 )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ( c1_1 @ a1148 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl809]) ).
thf('147',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1148 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c3_1 @ a1148 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl483,zip_derived_cl1263]) ).
thf('148',plain,
( hskp28
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ndr1_0
| ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl713_086,plain,
( ( c2_1 @ a1100 )
<= ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl277_087,plain,
( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
<= ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) ) ),
inference(split,[status(esa)],[zip_derived_cl22]) ).
thf(zip_derived_cl1651,plain,
( ( ( c1_1 @ a1100 )
| ~ ( c0_1 @ a1100 ) )
<= ( ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
& ( c2_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl277]) ).
thf('149',plain,
( ( c1_1 @ a1100 )
| ~ ( c0_1 @ a1100 )
| ~ ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ~ ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl1651]) ).
thf(zip_derived_cl31,plain,
! [X32: $i,X33: $i] :
( ( c1_1 @ X32 )
| ( c2_1 @ X32 )
| ~ ( c3_1 @ X32 )
| ~ ndr1_0
| ( c1_1 @ X33 )
| ~ ( c0_1 @ X33 )
| ~ ( c2_1 @ X33 )
| ~ ndr1_0
| hskp9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('150',plain,
( hskp9
| ! [X16: $i] :
( ( c1_1 @ X16 )
| ~ ( c0_1 @ X16 )
| ~ ( c2_1 @ X16 ) )
| ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl31]) ).
thf('151',plain,
( hskp2
| ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl157,plain,
( ~ hskp10
| ( c3_1 @ a1110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('152',plain,
( ( c3_1 @ a1110 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl157]) ).
thf(zip_derived_cl158,plain,
( ~ hskp10
| ~ ( c1_1 @ a1110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('153',plain,
( ~ ( c1_1 @ a1110 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl158]) ).
thf(zip_derived_cl159,plain,
( ~ hskp10
| ~ ( c2_1 @ a1110 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('154',plain,
( ~ ( c2_1 @ a1110 )
| ~ hskp10 ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl301_088,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl651,plain,
( ~ ( c2_1 @ a1110 )
<= ~ ( c2_1 @ a1110 ) ),
inference(split,[status(esa)],[zip_derived_cl159]) ).
thf(zip_derived_cl1128,plain,
( ( ~ ( c3_1 @ a1110 )
| ( c1_1 @ a1110 ) )
<= ( ~ ( c2_1 @ a1110 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl651]) ).
thf('155',plain,
( ~ ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
| ( c1_1 @ a1110 )
| ( c2_1 @ a1110 )
| ~ ( c3_1 @ a1110 ) ),
inference(split,[status(esa)],[zip_derived_cl1128]) ).
thf('156',plain,
( ( c1_1 @ a1127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl121]) ).
thf(zip_derived_cl122,plain,
( ~ hskp19
| ( c3_1 @ a1127 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('157',plain,
( ( c3_1 @ a1127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl122]) ).
thf('158',plain,
( ~ ( c2_1 @ a1127 )
| ~ hskp19 ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl254_089,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl579_090,plain,
( ~ ( c2_1 @ a1127 )
<= ~ ( c2_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl123]) ).
thf(zip_derived_cl795,plain,
( ( ~ ( c3_1 @ a1127 )
| ~ ( c1_1 @ a1127 ) )
<= ( ~ ( c2_1 @ a1127 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl579]) ).
thf('159',plain,
( ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1127 )
| ( c2_1 @ a1127 )
| ~ ( c3_1 @ a1127 ) ),
inference(split,[status(esa)],[zip_derived_cl795]) ).
thf(zip_derived_cl58,plain,
! [X80: $i,X81: $i] :
( ( c0_1 @ X80 )
| ( c2_1 @ X80 )
| ~ ( c1_1 @ X80 )
| ~ ndr1_0
| ~ ( c1_1 @ X81 )
| ~ ( c2_1 @ X81 )
| ~ ( c3_1 @ X81 )
| ~ ndr1_0
| hskp10 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('160',plain,
( hskp10
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('161',plain,
( hskp9
| hskp19
| ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl161,plain,
( ~ hskp9
| ( c0_1 @ a1108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('162',plain,
( ( c0_1 @ a1108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl161]) ).
thf(zip_derived_cl162,plain,
( ~ hskp9
| ~ ( c1_1 @ a1108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('163',plain,
( ~ ( c1_1 @ a1108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl163,plain,
( ~ hskp9
| ~ ( c3_1 @ a1108 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('164',plain,
( ~ ( c3_1 @ a1108 )
| ~ hskp9 ),
inference(split,[status(esa)],[zip_derived_cl163]) ).
thf(zip_derived_cl293_091,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl657,plain,
( ~ ( c1_1 @ a1108 )
<= ~ ( c1_1 @ a1108 ) ),
inference(split,[status(esa)],[zip_derived_cl162]) ).
thf(zip_derived_cl1054,plain,
( ( ~ ( c0_1 @ a1108 )
| ( c3_1 @ a1108 ) )
<= ( ~ ( c1_1 @ a1108 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl657]) ).
thf('165',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c1_1 @ a1108 )
| ( c3_1 @ a1108 )
| ~ ( c0_1 @ a1108 ) ),
inference(split,[status(esa)],[zip_derived_cl1054]) ).
thf(zip_derived_cl129,plain,
( ~ hskp17
| ( c0_1 @ a1124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('166',plain,
( ( c0_1 @ a1124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl129]) ).
thf(zip_derived_cl130,plain,
( ~ hskp17
| ~ ( c1_1 @ a1124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('167',plain,
( ~ ( c1_1 @ a1124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl130]) ).
thf(zip_derived_cl131,plain,
( ~ hskp17
| ~ ( c2_1 @ a1124 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('168',plain,
( ~ ( c2_1 @ a1124 )
| ~ hskp17 ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl46,plain,
! [X58: $i] :
( ( c0_1 @ X58 )
| ~ ( c1_1 @ X58 )
| ~ ( c2_1 @ X58 )
| ~ ndr1_0
| hskp28
| hskp17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('169',plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
| hskp28
| hskp17
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl46]) ).
thf(zip_derived_cl186,plain,
( ~ hskp3
| ( c2_1 @ a1101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl705,plain,
( ( c2_1 @ a1101 )
<= ( c2_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl297_092,plain,
( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl1638,plain,
( ( ~ ( c0_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) )
<= ( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
& ( c2_1 @ a1101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl297]) ).
thf('170',plain,
( ~ ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ( c0_1 @ a1101 )
| ~ ( c2_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl1638]) ).
thf(zip_derived_cl705_093,plain,
( ( c2_1 @ a1101 )
<= ( c2_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl369_094,plain,
( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
<= ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) ) ),
inference(split,[status(esa)],[zip_derived_cl45]) ).
thf(zip_derived_cl1712,plain,
( ( ( c0_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) )
<= ( ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
& ( c2_1 @ a1101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl369]) ).
thf('171',plain,
( ( c0_1 @ a1101 )
| ~ ! [X57: $i] :
( ( c0_1 @ X57 )
| ~ ( c1_1 @ X57 )
| ~ ( c2_1 @ X57 ) )
| ~ ( c2_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl1712]) ).
thf(zip_derived_cl59,plain,
! [X82: $i,X83: $i] :
( ( c0_1 @ X82 )
| ( c2_1 @ X82 )
| ~ ( c1_1 @ X82 )
| ~ ndr1_0
| ( c0_1 @ X83 )
| ~ ( c2_1 @ X83 )
| ~ ( c3_1 @ X83 )
| ~ ndr1_0
| hskp3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('172',plain,
( hskp3
| ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf('173',plain,
( hskp23
| ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl317_095,plain,
( ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
<= ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl545_096,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1359,plain,
( ( ~ ( c0_1 @ a1147 )
| ( c1_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl545]) ).
thf('174',plain,
( ~ ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ( c1_1 @ a1147 )
| ( c2_1 @ a1147 )
| ~ ( c0_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1359]) ).
thf('175',plain,
( ~ ( c2_1 @ a1147 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl38,plain,
! [X43: $i,X44: $i] :
( ( c0_1 @ X43 )
| ~ ( c2_1 @ X43 )
| ~ ( c3_1 @ X43 )
| ~ ndr1_0
| ( c1_1 @ X44 )
| ( c2_1 @ X44 )
| ~ ( c0_1 @ X44 )
| ~ ndr1_0
| hskp4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('176',plain,
( hskp4
| ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl535_097,plain,
( ( c2_1 @ a1149 )
<= ( c2_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl334_098,plain,
( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
<= ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf(zip_derived_cl1577,plain,
( ( ( c0_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) )
<= ( ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
& ( c2_1 @ a1149 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl334]) ).
thf('177',plain,
( ~ ! [X39: $i] :
( ( c0_1 @ X39 )
| ~ ( c2_1 @ X39 )
| ~ ( c3_1 @ X39 ) )
| ~ ( c2_1 @ a1149 )
| ( c0_1 @ a1149 )
| ~ ( c3_1 @ a1149 ) ),
inference(split,[status(esa)],[zip_derived_cl1577]) ).
thf('178',plain,
( ( c2_1 @ a1149 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl101]) ).
thf(zip_derived_cl102,plain,
( ~ hskp24
| ( c3_1 @ a1149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('179',plain,
( ( c3_1 @ a1149 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
( ~ hskp24
| ~ ( c0_1 @ a1149 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('180',plain,
( ~ ( c0_1 @ a1149 )
| ~ hskp24 ),
inference(split,[status(esa)],[zip_derived_cl103]) ).
thf('181',plain,
( hskp31
| hskp24
| ~ ndr1_0
| ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl713_099,plain,
( ( c2_1 @ a1100 )
<= ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl229_100,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1646,plain,
( ( ~ ( c1_1 @ a1100 )
| ~ ( c3_1 @ a1100 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl229]) ).
thf(zip_derived_cl2679,plain,
( ~ ( c1_1 @ a1100 )
<= ~ ( c1_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl1646]) ).
thf(zip_derived_cl293_101,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl2684,plain,
( ( ( c3_1 @ a1100 )
| ~ ( c0_1 @ a1100 ) )
<= ( ~ ( c1_1 @ a1100 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2679,zip_derived_cl293]) ).
thf('182',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c1_1 @ a1100 )
| ~ ( c0_1 @ a1100 )
| ( c3_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl2684]) ).
thf(zip_derived_cl2,plain,
( hskp23
| hskp14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('183',plain,
( hskp14
| hskp23 ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl413_102,plain,
( ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
<= ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl617_103,plain,
( ~ ( c2_1 @ a1118 )
<= ~ ( c2_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl1918,plain,
( ( ~ ( c1_1 @ a1118 )
| ( c0_1 @ a1118 ) )
<= ( ~ ( c2_1 @ a1118 )
& ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl617]) ).
thf('184',plain,
( ( c0_1 @ a1118 )
| ~ ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ( c2_1 @ a1118 )
| ~ ( c1_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl1918]) ).
thf(zip_derived_cl141,plain,
( ~ hskp14
| ( c1_1 @ a1118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('185',plain,
( ( c1_1 @ a1118 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf('186',plain,
( ~ ( c2_1 @ a1118 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl142]) ).
thf(zip_derived_cl143,plain,
( ~ hskp14
| ~ ( c3_1 @ a1118 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('187',plain,
( ~ ( c3_1 @ a1118 )
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl143]) ).
thf(zip_derived_cl615,plain,
( ( c1_1 @ a1118 )
<= ( c1_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl141]) ).
thf(zip_derived_cl245_104,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1508,plain,
( ( ( c3_1 @ a1118 )
| ~ ( c0_1 @ a1118 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1118 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl615,zip_derived_cl245]) ).
thf('188',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c0_1 @ a1118 )
| ( c3_1 @ a1118 )
| ~ ( c1_1 @ a1118 ) ),
inference(split,[status(esa)],[zip_derived_cl1508]) ).
thf(zip_derived_cl713_105,plain,
( ( c2_1 @ a1100 )
<= ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl261_106,plain,
( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
<= ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18]) ).
thf(zip_derived_cl1650,plain,
( ( ( c1_1 @ a1100 )
| ~ ( c3_1 @ a1100 ) )
<= ( ! [X11: $i] :
( ( c1_1 @ X11 )
| ~ ( c2_1 @ X11 )
| ~ ( c3_1 @ X11 ) )
& ( c2_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl261]) ).
thf(zip_derived_cl5742,plain,
( ( c1_1 @ a1100 )
<= ( c1_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl1650]) ).
thf(zip_derived_cl245_107,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl5766,plain,
( ( ( c3_1 @ a1100 )
| ~ ( c0_1 @ a1100 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5742,zip_derived_cl245]) ).
thf('189',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c1_1 @ a1100 )
| ~ ( c0_1 @ a1100 )
| ( c3_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl5766]) ).
thf(zip_derived_cl293_108,plain,
( ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
<= ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ),
inference(split,[status(esa)],[zip_derived_cl26]) ).
thf(zip_derived_cl254_109,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl545_110,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl797,plain,
( ( ~ ( c3_1 @ a1147 )
| ~ ( c1_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl545]) ).
thf(zip_derived_cl832,plain,
( ~ ( c1_1 @ a1147 )
<= ~ ( c1_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl797]) ).
thf(zip_derived_cl1065,plain,
( ( ~ ( c0_1 @ a1147 )
| ( c3_1 @ a1147 ) )
<= ( ~ ( c1_1 @ a1147 )
& ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl832]) ).
thf('190',plain,
( ~ ! [X23: $i] :
( ( c1_1 @ X23 )
| ( c3_1 @ X23 )
| ~ ( c0_1 @ X23 ) )
| ( c1_1 @ a1147 )
| ( c3_1 @ a1147 )
| ~ ( c0_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1065]) ).
thf(zip_derived_cl105,plain,
( ~ hskp23
| ( c0_1 @ a1147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('191',plain,
( ( c0_1 @ a1147 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl105]) ).
thf(zip_derived_cl107,plain,
( ~ hskp23
| ~ ( c3_1 @ a1147 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('192',plain,
( ~ ( c3_1 @ a1147 )
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl107]) ).
thf(zip_derived_cl301_111,plain,
( ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) )
<= ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ),
inference(split,[status(esa)],[zip_derived_cl28]) ).
thf(zip_derived_cl545_112,plain,
( ~ ( c2_1 @ a1147 )
<= ~ ( c2_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl106]) ).
thf(zip_derived_cl1135,plain,
( ( ~ ( c3_1 @ a1147 )
| ( c1_1 @ a1147 ) )
<= ( ~ ( c2_1 @ a1147 )
& ! [X26: $i] :
( ( c1_1 @ X26 )
| ( c2_1 @ X26 )
| ~ ( c3_1 @ X26 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl545]) ).
thf(zip_derived_cl3559,plain,
( ( c1_1 @ a1147 )
<= ( c1_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl1135]) ).
thf(zip_derived_cl245_113,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl3571,plain,
( ( ( c3_1 @ a1147 )
| ~ ( c0_1 @ a1147 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1147 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3559,zip_derived_cl245]) ).
thf('193',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c1_1 @ a1147 )
| ~ ( c0_1 @ a1147 )
| ( c3_1 @ a1147 ) ),
inference(split,[status(esa)],[zip_derived_cl3571]) ).
thf(zip_derived_cl140,plain,
( ~ hskp14
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('194',plain,
( ndr1_0
| ~ hskp14 ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl86,plain,
( ~ hskp28
| ( c1_1 @ a1111 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl505,plain,
( ( c1_1 @ a1111 )
<= ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl245_114,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1330,plain,
( ( ( c3_1 @ a1111 )
| ~ ( c0_1 @ a1111 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl245]) ).
thf('195',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ( c3_1 @ a1111 )
| ~ ( c0_1 @ a1111 )
| ~ ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1330]) ).
thf(zip_derived_cl505_115,plain,
( ( c1_1 @ a1111 )
<= ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf(zip_derived_cl257_116,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1331,plain,
( ( ~ ( c0_1 @ a1111 )
| ~ ( c3_1 @ a1111 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl257]) ).
thf('196',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c3_1 @ a1111 )
| ~ ( c0_1 @ a1111 )
| ~ ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1331]) ).
thf(zip_derived_cl73,plain,
( ~ hskp31
| ( c0_1 @ a1148 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('197',plain,
( ( c0_1 @ a1148 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl73]) ).
thf('198',plain,
( ( c1_1 @ a1148 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf('199',plain,
( ( c3_1 @ a1148 )
| ~ hskp31 ),
inference(split,[status(esa)],[zip_derived_cl75]) ).
thf(zip_derived_cl481_117,plain,
( ( c1_1 @ a1148 )
<= ( c1_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl257_118,plain,
( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
<= ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) ) ),
inference(split,[status(esa)],[zip_derived_cl17]) ).
thf(zip_derived_cl1267,plain,
( ( ~ ( c0_1 @ a1148 )
| ~ ( c3_1 @ a1148 ) )
<= ( ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
& ( c1_1 @ a1148 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl257]) ).
thf('200',plain,
( ~ ! [X10: $i] :
( ~ ( c0_1 @ X10 )
| ~ ( c1_1 @ X10 )
| ~ ( c3_1 @ X10 ) )
| ~ ( c0_1 @ a1148 )
| ~ ( c1_1 @ a1148 )
| ~ ( c3_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl1267]) ).
thf(zip_derived_cl317_119,plain,
( ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
<= ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ),
inference(split,[status(esa)],[zip_derived_cl32]) ).
thf(zip_derived_cl595,plain,
( ~ ( c2_1 @ a1124 )
<= ~ ( c2_1 @ a1124 ) ),
inference(split,[status(esa)],[zip_derived_cl131]) ).
thf(zip_derived_cl1356,plain,
( ( ~ ( c0_1 @ a1124 )
| ( c1_1 @ a1124 ) )
<= ( ~ ( c2_1 @ a1124 )
& ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl317,zip_derived_cl595]) ).
thf('201',plain,
( ~ ! [X34: $i] :
( ( c1_1 @ X34 )
| ( c2_1 @ X34 )
| ~ ( c0_1 @ X34 ) )
| ~ ( c0_1 @ a1124 )
| ( c1_1 @ a1124 )
| ( c2_1 @ a1124 ) ),
inference(split,[status(esa)],[zip_derived_cl1356]) ).
thf(zip_derived_cl181,plain,
( ~ hskp4
| ( c0_1 @ a1102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('202',plain,
( ( c0_1 @ a1102 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl181]) ).
thf(zip_derived_cl182,plain,
( ~ hskp4
| ( c1_1 @ a1102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('203',plain,
( ( c1_1 @ a1102 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl183,plain,
( ~ hskp4
| ~ ( c3_1 @ a1102 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('204',plain,
( ~ ( c3_1 @ a1102 )
| ~ hskp4 ),
inference(split,[status(esa)],[zip_derived_cl183]) ).
thf(zip_derived_cl697,plain,
( ( c1_1 @ a1102 )
<= ( c1_1 @ a1102 ) ),
inference(split,[status(esa)],[zip_derived_cl182]) ).
thf(zip_derived_cl245_120,plain,
( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
<= ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl14]) ).
thf(zip_derived_cl1619,plain,
( ( ( c3_1 @ a1102 )
| ~ ( c0_1 @ a1102 ) )
<= ( ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
& ( c1_1 @ a1102 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl697,zip_derived_cl245]) ).
thf('205',plain,
( ~ ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) )
| ~ ( c0_1 @ a1102 )
| ~ ( c1_1 @ a1102 )
| ( c3_1 @ a1102 ) ),
inference(split,[status(esa)],[zip_derived_cl1619]) ).
thf(zip_derived_cl481_121,plain,
( ( c1_1 @ a1148 )
<= ( c1_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl74]) ).
thf(zip_derived_cl254_122,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl297_123,plain,
( ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
<= ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ),
inference(split,[status(esa)],[zip_derived_cl27]) ).
thf(zip_derived_cl875,plain,
( ! [X0: $i] :
( ~ ( c3_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl297]) ).
thf(zip_derived_cl876,plain,
( ! [X0: $i] :
( ~ ( c0_1 @ X0 )
| ~ ( c1_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl875]) ).
thf(zip_derived_cl1265,plain,
( ( ~ ( c0_1 @ a1148 )
| ~ ( c3_1 @ a1148 ) )
<= ( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
& ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
& ( c1_1 @ a1148 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl481,zip_derived_cl876]) ).
thf('206',plain,
( ~ ! [X25: $i] :
( ~ ( c0_1 @ X25 )
| ~ ( c1_1 @ X25 )
| ~ ( c2_1 @ X25 ) )
| ~ ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
| ~ ( c1_1 @ a1148 )
| ~ ( c3_1 @ a1148 )
| ~ ( c0_1 @ a1148 ) ),
inference(split,[status(esa)],[zip_derived_cl1265]) ).
thf(zip_derived_cl137,plain,
( ~ hskp15
| ( c1_1 @ a1119 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('207',plain,
( ( c1_1 @ a1119 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl137]) ).
thf(zip_derived_cl138,plain,
( ~ hskp15
| ~ ( c0_1 @ a1119 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('208',plain,
( ~ ( c0_1 @ a1119 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl138]) ).
thf(zip_derived_cl139,plain,
( ~ hskp15
| ~ ( c2_1 @ a1119 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('209',plain,
( ~ ( c2_1 @ a1119 )
| ~ hskp15 ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl413_124,plain,
( ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
<= ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl611,plain,
( ~ ( c2_1 @ a1119 )
<= ~ ( c2_1 @ a1119 ) ),
inference(split,[status(esa)],[zip_derived_cl139]) ).
thf(zip_derived_cl1919,plain,
( ( ~ ( c1_1 @ a1119 )
| ( c0_1 @ a1119 ) )
<= ( ~ ( c2_1 @ a1119 )
& ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl611]) ).
thf('210',plain,
( ~ ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) )
| ( c0_1 @ a1119 )
| ( c2_1 @ a1119 )
| ~ ( c1_1 @ a1119 ) ),
inference(split,[status(esa)],[zip_derived_cl1919]) ).
thf(zip_derived_cl489_125,plain,
( ( c2_1 @ a1136 )
<= ( c2_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl78]) ).
thf(zip_derived_cl233_126,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1294,plain,
( ( ~ ( c0_1 @ a1136 )
| ~ ( c3_1 @ a1136 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a1136 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl489,zip_derived_cl233]) ).
thf('211',plain,
( ~ ( c0_1 @ a1136 )
| ~ ( c2_1 @ a1136 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c3_1 @ a1136 ) ),
inference(split,[status(esa)],[zip_derived_cl1294]) ).
thf(zip_derived_cl76,plain,
( ~ hskp30
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('212',plain,
( ndr1_0
| ~ hskp30 ),
inference(split,[status(esa)],[zip_derived_cl76]) ).
thf(zip_derived_cl104,plain,
( ~ hskp23
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('213',plain,
( ndr1_0
| ~ hskp23 ),
inference(split,[status(esa)],[zip_derived_cl104]) ).
thf(zip_derived_cl196,plain,
( ~ hskp0
| ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('214',plain,
( ndr1_0
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl196]) ).
thf(zip_derived_cl3,plain,
( hskp23
| hskp30
| hskp0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('215',plain,
( hskp23
| hskp0
| hskp30 ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl507_127,plain,
( ( c2_1 @ a1111 )
<= ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl237_128,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1337,plain,
( ( ( c3_1 @ a1111 )
| ~ ( c1_1 @ a1111 ) )
<= ( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
& ( c2_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl237]) ).
thf('216',plain,
( ( c3_1 @ a1111 )
| ~ ( c2_1 @ a1111 )
| ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c1_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1337]) ).
thf(zip_derived_cl185,plain,
( ~ hskp3
| ( c1_1 @ a1101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('217',plain,
( ( c1_1 @ a1101 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl185]) ).
thf('218',plain,
( ( c2_1 @ a1101 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl187,plain,
( ~ hskp3
| ~ ( c3_1 @ a1101 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('219',plain,
( ~ ( c3_1 @ a1101 )
| ~ hskp3 ),
inference(split,[status(esa)],[zip_derived_cl187]) ).
thf(zip_derived_cl705_129,plain,
( ( c2_1 @ a1101 )
<= ( c2_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl237_130,plain,
( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
<= ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) ) ),
inference(split,[status(esa)],[zip_derived_cl12]) ).
thf(zip_derived_cl1634,plain,
( ( ( c3_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) )
<= ( ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
& ( c2_1 @ a1101 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl705,zip_derived_cl237]) ).
thf('220',plain,
( ~ ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ( c2_1 @ a1101 )
| ( c3_1 @ a1101 )
| ~ ( c1_1 @ a1101 ) ),
inference(split,[status(esa)],[zip_derived_cl1634]) ).
thf(zip_derived_cl507_131,plain,
( ( c2_1 @ a1111 )
<= ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl233_132,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1336,plain,
( ( ~ ( c0_1 @ a1111 )
| ~ ( c3_1 @ a1111 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl233]) ).
thf('221',plain,
( ~ ( c3_1 @ a1111 )
| ~ ( c0_1 @ a1111 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1336]) ).
thf(zip_derived_cl15,plain,
! [X5: $i,X6: $i] :
( ( c3_1 @ X5 )
| ~ ( c0_1 @ X5 )
| ~ ( c1_1 @ X5 )
| ~ ndr1_0
| ( c3_1 @ X6 )
| ~ ( c1_1 @ X6 )
| ~ ( c2_1 @ X6 )
| ~ ndr1_0
| hskp5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('222',plain,
( hskp5
| ! [X2: $i] :
( ( c3_1 @ X2 )
| ~ ( c1_1 @ X2 )
| ~ ( c2_1 @ X2 ) )
| ~ ndr1_0
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl15]) ).
thf(zip_derived_cl177,plain,
( ~ hskp5
| ( c3_1 @ a1103 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('223',plain,
( ( c3_1 @ a1103 )
| ~ hskp5 ),
inference(split,[status(esa)],[zip_derived_cl177]) ).
thf('224',plain,
( ~ ( c1_1 @ a1098 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl197]) ).
thf('225',plain,
( ~ ( c2_1 @ a1098 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl199,plain,
( ~ hskp0
| ~ ( c3_1 @ a1098 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('226',plain,
( ~ ( c3_1 @ a1098 )
| ~ hskp0 ),
inference(split,[status(esa)],[zip_derived_cl199]) ).
thf(zip_derived_cl321_133,plain,
( ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
<= ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ),
inference(split,[status(esa)],[zip_derived_cl33]) ).
thf(zip_derived_cl729_134,plain,
( ~ ( c2_1 @ a1098 )
<= ~ ( c2_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl198]) ).
thf(zip_derived_cl1407,plain,
( ( ( c3_1 @ a1098 )
| ( c1_1 @ a1098 ) )
<= ( ~ ( c2_1 @ a1098 )
& ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl729]) ).
thf('227',plain,
( ( c1_1 @ a1098 )
| ( c2_1 @ a1098 )
| ~ ! [X35: $i] :
( ( c1_1 @ X35 )
| ( c2_1 @ X35 )
| ( c3_1 @ X35 ) )
| ( c3_1 @ a1098 ) ),
inference(split,[status(esa)],[zip_derived_cl1407]) ).
thf(zip_derived_cl42,plain,
! [X50: $i,X51: $i,X52: $i] :
( ( c0_1 @ X50 )
| ~ ( c1_1 @ X50 )
| ~ ( c3_1 @ X50 )
| ~ ndr1_0
| ( c3_1 @ X51 )
| ~ ( c0_1 @ X51 )
| ~ ( c1_1 @ X51 )
| ~ ndr1_0
| ~ ( c1_1 @ X52 )
| ~ ( c2_1 @ X52 )
| ~ ( c3_1 @ X52 )
| ~ ndr1_0 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('228',plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) )
| ~ ndr1_0
| ! [X4: $i] :
( ( c3_1 @ X4 )
| ~ ( c0_1 @ X4 )
| ~ ( c1_1 @ X4 ) ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf(zip_derived_cl507_135,plain,
( ( c2_1 @ a1111 )
<= ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl229_136,plain,
( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10]) ).
thf(zip_derived_cl1335,plain,
( ( ~ ( c1_1 @ a1111 )
| ~ ( c3_1 @ a1111 ) )
<= ( ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
& ( c2_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl229]) ).
thf('229',plain,
( ~ ( c3_1 @ a1111 )
| ~ ( c1_1 @ a1111 )
| ~ ! [X0: $i] :
( ~ ( c1_1 @ X0 )
| ~ ( c2_1 @ X0 )
| ~ ( c3_1 @ X0 ) )
| ~ ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1335]) ).
thf(zip_derived_cl85,plain,
( ~ hskp28
| ( c0_1 @ a1111 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('230',plain,
( ( c0_1 @ a1111 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl85]) ).
thf('231',plain,
( ( c1_1 @ a1111 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl86]) ).
thf('232',plain,
( ( c2_1 @ a1111 )
| ~ hskp28 ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl507_137,plain,
( ( c2_1 @ a1111 )
<= ( c2_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl87]) ).
thf(zip_derived_cl241_138,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1338,plain,
( ( ( c3_1 @ a1111 )
| ~ ( c0_1 @ a1111 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a1111 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl507,zip_derived_cl241]) ).
thf('233',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ( c3_1 @ a1111 )
| ~ ( c2_1 @ a1111 )
| ~ ( c0_1 @ a1111 ) ),
inference(split,[status(esa)],[zip_derived_cl1338]) ).
thf(zip_derived_cl189,plain,
( ~ hskp2
| ( c0_1 @ a1100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('234',plain,
( ( c0_1 @ a1100 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl189]) ).
thf('235',plain,
( ( c2_1 @ a1100 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl191,plain,
( ~ hskp2
| ~ ( c3_1 @ a1100 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('236',plain,
( ~ ( c3_1 @ a1100 )
| ~ hskp2 ),
inference(split,[status(esa)],[zip_derived_cl191]) ).
thf(zip_derived_cl713_139,plain,
( ( c2_1 @ a1100 )
<= ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl190]) ).
thf(zip_derived_cl241_140,plain,
( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
<= ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl13]) ).
thf(zip_derived_cl1649,plain,
( ( ( c3_1 @ a1100 )
| ~ ( c0_1 @ a1100 ) )
<= ( ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
& ( c2_1 @ a1100 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl713,zip_derived_cl241]) ).
thf('237',plain,
( ~ ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ( c0_1 @ a1100 )
| ( c3_1 @ a1100 )
| ~ ( c2_1 @ a1100 ) ),
inference(split,[status(esa)],[zip_derived_cl1649]) ).
thf(zip_derived_cl57,plain,
! [X79: $i] :
( ( c0_1 @ X79 )
| ( c2_1 @ X79 )
| ~ ( c1_1 @ X79 )
| ~ ndr1_0
| hskp28
| hskp2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('238',plain,
( hskp28
| hskp2
| ~ ndr1_0
| ! [X78: $i] :
( ( c0_1 @ X78 )
| ( c2_1 @ X78 )
| ~ ( c1_1 @ X78 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl40,plain,
! [X46: $i,X47: $i] :
( ( c0_1 @ X46 )
| ~ ( c1_1 @ X46 )
| ~ ( c3_1 @ X46 )
| ~ ndr1_0
| ( c3_1 @ X47 )
| ~ ( c0_1 @ X47 )
| ~ ( c2_1 @ X47 )
| ~ ndr1_0
| hskp20 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('239',plain,
( hskp20
| ! [X3: $i] :
( ( c3_1 @ X3 )
| ~ ( c0_1 @ X3 )
| ~ ( c2_1 @ X3 ) )
| ~ ndr1_0
| ! [X45: $i] :
( ( c0_1 @ X45 )
| ~ ( c1_1 @ X45 )
| ~ ( c3_1 @ X45 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl458_141,plain,
( ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
<= ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ),
inference(split,[status(esa)],[zip_derived_cl67]) ).
thf(zip_derived_cl254_142,plain,
( ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) )
<= ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ),
inference(split,[status(esa)],[zip_derived_cl16]) ).
thf(zip_derived_cl569_143,plain,
( ~ ( c2_1 @ a1130 )
<= ~ ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl796,plain,
( ( ~ ( c3_1 @ a1130 )
| ~ ( c1_1 @ a1130 ) )
<= ( ~ ( c2_1 @ a1130 )
& ! [X7: $i] :
( ( c2_1 @ X7 )
| ~ ( c1_1 @ X7 )
| ~ ( c3_1 @ X7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl569]) ).
thf(zip_derived_cl830,plain,
( ~ ( c1_1 @ a1130 )
<= ~ ( c1_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl796]) ).
thf(zip_derived_cl2010,plain,
( ( ( c3_1 @ a1130 )
| ( c0_1 @ a1130 ) )
<= ( ~ ( c1_1 @ a1130 )
& ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl458,zip_derived_cl830]) ).
thf('240',plain,
( ( c1_1 @ a1130 )
| ( c3_1 @ a1130 )
| ~ ! [X98: $i] :
( ( c0_1 @ X98 )
| ( c1_1 @ X98 )
| ( c3_1 @ X98 ) )
| ( c0_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl2010]) ).
thf('241',plain,
( ~ ( c2_1 @ a1130 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl119,plain,
( ~ hskp20
| ~ ( c3_1 @ a1130 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('242',plain,
( ~ ( c3_1 @ a1130 )
| ~ hskp20 ),
inference(split,[status(esa)],[zip_derived_cl119]) ).
thf(zip_derived_cl309_144,plain,
( ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
<= ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ),
inference(split,[status(esa)],[zip_derived_cl30]) ).
thf(zip_derived_cl569_145,plain,
( ~ ( c2_1 @ a1130 )
<= ~ ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl118]) ).
thf(zip_derived_cl1244,plain,
( ( ~ ( c1_1 @ a1130 )
| ( c3_1 @ a1130 ) )
<= ( ~ ( c2_1 @ a1130 )
& ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl569]) ).
thf('243',plain,
( ~ ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
| ~ ( c1_1 @ a1130 )
| ( c3_1 @ a1130 )
| ( c2_1 @ a1130 ) ),
inference(split,[status(esa)],[zip_derived_cl1244]) ).
thf(zip_derived_cl54,plain,
! [X74: $i,X75: $i] :
( ( c0_1 @ X74 )
| ( c2_1 @ X74 )
| ~ ( c3_1 @ X74 )
| ~ ndr1_0
| ( c2_1 @ X75 )
| ( c3_1 @ X75 )
| ~ ( c1_1 @ X75 )
| ~ ndr1_0
| hskp29 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('244',plain,
( hskp29
| ! [X31: $i] :
( ( c2_1 @ X31 )
| ( c3_1 @ X31 )
| ~ ( c1_1 @ X31 ) )
| ! [X73: $i] :
( ( c0_1 @ X73 )
| ( c2_1 @ X73 )
| ~ ( c3_1 @ X73 ) )
| ~ ndr1_0 ),
inference(split,[status(esa)],[zip_derived_cl54]) ).
thf('245',plain,
( ( c0_1 @ a1116 )
| ~ hskp29 ),
inference(split,[status(esa)],[zip_derived_cl81]) ).
thf(zip_derived_cl497,plain,
( ( c2_1 @ a1116 )
<= ( c2_1 @ a1116 ) ),
inference(split,[status(esa)],[zip_derived_cl82]) ).
thf(zip_derived_cl233_146,plain,
( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
<= ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl11]) ).
thf(zip_derived_cl1307,plain,
( ( ~ ( c0_1 @ a1116 )
| ~ ( c3_1 @ a1116 ) )
<= ( ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
& ( c2_1 @ a1116 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl497,zip_derived_cl233]) ).
thf('246',plain,
( ~ ( c0_1 @ a1116 )
| ~ ( c3_1 @ a1116 )
| ~ ! [X1: $i] :
( ~ ( c0_1 @ X1 )
| ~ ( c2_1 @ X1 )
| ~ ( c3_1 @ X1 ) )
| ~ ( c2_1 @ a1116 ) ),
inference(split,[status(esa)],[zip_derived_cl1307]) ).
thf(zip_derived_cl7509,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43','44','45','46','47','48','49','50','51','52','53','54','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','70','71','72','73','74','75','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN476+1 : TPTP v9.2.0. Released v2.1.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3l75cetuGw true
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 13:32:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.40/1.97 % Solved by fo/fo1_av.sh.
% 9.40/1.97 % done 2278 iterations in 1.141s
% 9.40/1.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.40/1.97 % SZS output start Refutation
% See solution above
% 9.40/1.98
% 9.40/1.98
% 9.40/1.98 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 9.40/1.98 % Terminating...
% 10.23/2.13 % Runner terminated.
% 10.23/2.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------