%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN477+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:00 PM UTC 2026
% Result : Theorem 27.67s 4.47s
% Output : CNFRefutation 27.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 46
% Syntax : Number of formulae : 844 ( 3 unt; 0 def)
% Number of atoms : 5944 ( 0 equ)
% Maximal formula atoms : 770 ( 7 avg)
% Number of connectives : 7476 (2376 ~;3980 |; 748 &)
% ( 45 <=>; 327 =>; 0 <=; 0 <~>)
% Maximal formula depth : 299 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 80 ( 79 usr; 76 prp; 0-1 aty)
% Number of functors : 29 ( 29 usr; 29 con; 0-0 aty)
% Number of variables : 686 ( 0 sgn 481 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp23
| hskp14
| hskp18 )
& ( hskp2
| hskp10
| hskp18 )
& ( hskp7
| hskp18
| hskp4 )
& ( hskp2
| hskp19
| hskp27 )
& ( hskp7
| hskp6
| hskp22 )
& ( hskp8
| hskp6
| hskp22 )
& ( hskp23
| hskp20
| hskp16 )
& ( hskp14
| hskp19
| hskp24 )
& ( hskp4
| hskp12
| hskp17 )
& ( hskp21
| hskp25 )
& ( hskp7
| hskp24
| hskp3 )
& ( hskp5
| hskp6
| hskp15 )
& ( hskp1
| hskp25
| hskp26 )
& ( hskp24
| hskp28
| hskp26 )
& ( hskp1
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c2_1(X109)
| ~ c1_1(X109) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp7
| hskp2
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c1_1(X107)
| ~ c0_1(X107) ) ) )
& ( hskp23
| hskp0
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp22
| hskp13
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c1_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp21
| hskp0
| ! [X104] :
( ndr1_0
=> ( ~ c2_1(X104)
| ~ c1_1(X104)
| c3_1(X104) ) ) )
& ( hskp3
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp8
| hskp11
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp10
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c0_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp8
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c1_1(X98)
| ~ c0_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp20
| hskp19
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp0
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp19
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| ~ c0_1(X91)
| c2_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| c1_1(X90) ) ) )
& ( hskp18
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| c1_1(X88) ) ) )
& ( hskp6
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp14
| hskp13
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp6
| hskp13
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp9
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp5
| hskp17
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| c3_1(X79)
| c1_1(X79) ) ) )
& ( hskp16
| hskp1
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| c2_1(X78)
| c1_1(X78) ) ) )
& ( hskp4
| hskp15
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp14
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c0_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp10
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp12
| hskp13
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp12
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c2_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| ~ c1_1(X66)
| c3_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c1_1(X65)
| c0_1(X65) ) ) )
& ( hskp3
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp1
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c2_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c2_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c2_1(X59)
| ~ c1_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| ~ c0_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp10
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( hskp0
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp0
| hskp27
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c2_1(X51)
| ~ c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c1_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( hskp9
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| ~ c0_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c1_1(X48)
| c3_1(X48)
| c0_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c0_1(X46)
| c3_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c1_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c1_1(X43)
| c2_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp25
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c3_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp7
| hskp6
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp28
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c3_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp27
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| ~ c0_1(X32)
| c2_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp5
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c1_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| c1_1(X26)
| c0_1(X26) ) ) )
& ( hskp4
| ! [X25] :
( ndr1_0
=> ( ~ c0_1(X25)
| c3_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| ~ c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c2_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp3
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp25
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c0_1(X16)
| c2_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp26
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c2_1(X13)
| c1_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp0
| hskp25
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a1214)
& c1_1(a1214)
& c0_1(a1214)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a1213)
& c2_1(a1213)
& c1_1(a1213)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a1208)
& c1_1(a1208)
& c0_1(a1208)
& ndr1_0 )
| ~ hskp26 )
& ( ( c3_1(a1204)
& c2_1(a1204)
& c0_1(a1204)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a1267)
& ~ c1_1(a1267)
& c0_1(a1267)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a1261)
& ~ c2_1(a1261)
& ~ c0_1(a1261)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a1259)
& ~ c2_1(a1259)
& c0_1(a1259)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a1257)
& ~ c0_1(a1257)
& c3_1(a1257)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a1250)
& c3_1(a1250)
& c2_1(a1250)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a1247)
& ~ c2_1(a1247)
& c1_1(a1247)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a1246)
& c3_1(a1246)
& c2_1(a1246)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a1237)
& c3_1(a1237)
& c0_1(a1237)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a1236)
& ~ c1_1(a1236)
& c0_1(a1236)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a1233)
& c1_1(a1233)
& c0_1(a1233)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a1232)
& ~ c0_1(a1232)
& c3_1(a1232)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a1229)
& c2_1(a1229)
& c0_1(a1229)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a1228)
& c3_1(a1228)
& c0_1(a1228)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a1224)
& c3_1(a1224)
& c1_1(a1224)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a1223)
& ~ c1_1(a1223)
& c2_1(a1223)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a1219)
& c2_1(a1219)
& c1_1(a1219)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a1217)
& ~ c1_1(a1217)
& ~ c0_1(a1217)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a1216)
& ~ c2_1(a1216)
& ~ c1_1(a1216)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a1215)
& c2_1(a1215)
& c1_1(a1215)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a1212)
& ~ c0_1(a1212)
& c2_1(a1212)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a1211)
& ~ c0_1(a1211)
& c1_1(a1211)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a1210)
& c1_1(a1210)
& c0_1(a1210)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a1207)
& ~ c1_1(a1207)
& ~ c0_1(a1207)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a1206)
& c2_1(a1206)
& c0_1(a1206)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a1205)
& ~ c0_1(a1205)
& c2_1(a1205)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp23
| hskp14
| hskp18 )
& ( hskp2
| hskp10
| hskp18 )
& ( hskp7
| hskp18
| hskp4 )
& ( hskp2
| hskp19
| hskp27 )
& ( hskp7
| hskp6
| hskp22 )
& ( hskp8
| hskp6
| hskp22 )
& ( hskp23
| hskp20
| hskp16 )
& ( hskp14
| hskp19
| hskp24 )
& ( hskp4
| hskp12
| hskp17 )
& ( hskp21
| hskp25 )
& ( hskp7
| hskp24
| hskp3 )
& ( hskp5
| hskp6
| hskp15 )
& ( hskp1
| hskp25
| hskp26 )
& ( hskp24
| hskp28
| hskp26 )
& ( hskp1
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c2_1(X109)
| ~ c1_1(X109) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp7
| hskp2
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c1_1(X107)
| ~ c0_1(X107) ) ) )
& ( hskp23
| hskp0
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp22
| hskp13
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c1_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp21
| hskp0
| ! [X104] :
( ndr1_0
=> ( ~ c2_1(X104)
| ~ c1_1(X104)
| c3_1(X104) ) ) )
& ( hskp3
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp8
| hskp11
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp10
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c0_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp8
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c1_1(X98)
| ~ c0_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp20
| hskp19
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp0
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp19
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| ~ c0_1(X91)
| c2_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| c1_1(X90) ) ) )
& ( hskp18
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| c1_1(X88) ) ) )
& ( hskp6
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp14
| hskp13
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp6
| hskp13
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp9
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp5
| hskp17
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| c3_1(X79)
| c1_1(X79) ) ) )
& ( hskp16
| hskp1
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| c2_1(X78)
| c1_1(X78) ) ) )
& ( hskp4
| hskp15
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp14
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c0_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp10
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp12
| hskp13
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp12
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c2_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| ~ c1_1(X66)
| c3_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c1_1(X65)
| c0_1(X65) ) ) )
& ( hskp3
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp1
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c2_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c2_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c2_1(X59)
| ~ c1_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| ~ c0_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp10
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( hskp0
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp0
| hskp27
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c2_1(X51)
| ~ c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c1_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( hskp9
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| ~ c0_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c1_1(X48)
| c3_1(X48)
| c0_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c0_1(X46)
| c3_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c1_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c1_1(X43)
| c2_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp25
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c3_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp7
| hskp6
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp28
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c3_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp27
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| ~ c0_1(X32)
| c2_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp5
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c1_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| c1_1(X26)
| c0_1(X26) ) ) )
& ( hskp4
| ! [X25] :
( ndr1_0
=> ( ~ c0_1(X25)
| c3_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| ~ c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c2_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp3
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp25
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c0_1(X16)
| c2_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp26
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c2_1(X13)
| c1_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp0
| hskp25
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a1214)
& c1_1(a1214)
& c0_1(a1214)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a1213)
& c2_1(a1213)
& c1_1(a1213)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a1208)
& c1_1(a1208)
& c0_1(a1208)
& ndr1_0 )
| ~ hskp26 )
& ( ( c3_1(a1204)
& c2_1(a1204)
& c0_1(a1204)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a1267)
& ~ c1_1(a1267)
& c0_1(a1267)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a1261)
& ~ c2_1(a1261)
& ~ c0_1(a1261)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a1259)
& ~ c2_1(a1259)
& c0_1(a1259)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a1257)
& ~ c0_1(a1257)
& c3_1(a1257)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a1250)
& c3_1(a1250)
& c2_1(a1250)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a1247)
& ~ c2_1(a1247)
& c1_1(a1247)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a1246)
& c3_1(a1246)
& c2_1(a1246)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a1237)
& c3_1(a1237)
& c0_1(a1237)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a1236)
& ~ c1_1(a1236)
& c0_1(a1236)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a1233)
& c1_1(a1233)
& c0_1(a1233)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a1232)
& ~ c0_1(a1232)
& c3_1(a1232)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a1229)
& c2_1(a1229)
& c0_1(a1229)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a1228)
& c3_1(a1228)
& c0_1(a1228)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a1224)
& c3_1(a1224)
& c1_1(a1224)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a1223)
& ~ c1_1(a1223)
& c2_1(a1223)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a1219)
& c2_1(a1219)
& c1_1(a1219)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a1217)
& ~ c1_1(a1217)
& ~ c0_1(a1217)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a1216)
& ~ c2_1(a1216)
& ~ c1_1(a1216)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a1215)
& c2_1(a1215)
& c1_1(a1215)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a1212)
& ~ c0_1(a1212)
& c2_1(a1212)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a1211)
& ~ c0_1(a1211)
& c1_1(a1211)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a1210)
& c1_1(a1210)
& c0_1(a1210)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a1207)
& ~ c1_1(a1207)
& ~ c0_1(a1207)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a1206)
& c2_1(a1206)
& c0_1(a1206)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a1205)
& ~ c0_1(a1205)
& c2_1(a1205)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp23
| hskp14
| hskp18 )
& ( hskp2
| hskp10
| hskp18 )
& ( hskp7
| hskp18
| hskp4 )
& ( hskp2
| hskp19
| hskp27 )
& ( hskp7
| hskp6
| hskp22 )
& ( hskp8
| hskp6
| hskp22 )
& ( hskp23
| hskp20
| hskp16 )
& ( hskp14
| hskp19
| hskp24 )
& ( hskp4
| hskp12
| hskp17 )
& ( hskp21
| hskp25 )
& ( hskp7
| hskp24
| hskp3 )
& ( hskp5
| hskp6
| hskp15 )
& ( hskp1
| hskp25
| hskp26 )
& ( hskp24
| hskp28
| hskp26 )
& ( hskp1
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c2_1(X109)
| ~ c1_1(X109) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp7
| hskp2
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c1_1(X107)
| ~ c0_1(X107) ) ) )
& ( hskp23
| hskp0
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp22
| hskp13
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c1_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp21
| hskp0
| ! [X104] :
( ndr1_0
=> ( ~ c2_1(X104)
| ~ c1_1(X104)
| c3_1(X104) ) ) )
& ( hskp3
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp8
| hskp11
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp10
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c0_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp8
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c1_1(X98)
| ~ c0_1(X98) ) )
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp20
| hskp19
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp0
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp19
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| ~ c0_1(X91)
| c2_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| c1_1(X90) ) ) )
& ( hskp18
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| c1_1(X88) ) ) )
& ( hskp6
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c0_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp14
| hskp13
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp6
| hskp13
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp9
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp5
| hskp17
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| c3_1(X79)
| c1_1(X79) ) ) )
& ( hskp16
| hskp1
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| c2_1(X78)
| c1_1(X78) ) ) )
& ( hskp4
| hskp15
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp14
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c0_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp10
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp12
| hskp13
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp12
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c2_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp11
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| ~ c1_1(X66)
| c3_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c1_1(X65)
| c0_1(X65) ) ) )
& ( hskp3
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp1
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c2_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c2_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp11
| ! [X60] :
( ndr1_0
=> ( ~ c2_1(X60)
| c3_1(X60)
| c0_1(X60) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c2_1(X59)
| ~ c1_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| ~ c0_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp10
| ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( hskp0
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp0
| hskp27
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c2_1(X51)
| ~ c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c1_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( hskp9
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| ~ c0_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c1_1(X48)
| c3_1(X48)
| c0_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c0_1(X46)
| c3_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c1_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c1_1(X43)
| c2_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp25
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c3_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp7
| hskp6
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp28
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c3_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( c3_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp27
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| ~ c0_1(X32)
| c2_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp5
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c1_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c1_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c2_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| c1_1(X26)
| c0_1(X26) ) ) )
& ( hskp4
| ! [X25] :
( ndr1_0
=> ( ~ c0_1(X25)
| c3_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| ~ c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| c3_1(X22)
| c2_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c3_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp3
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp25
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c0_1(X16)
| c2_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c2_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp26
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c2_1(X13)
| c1_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp0
| hskp25
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c1_1(X8)
| c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| c3_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a1214)
& c1_1(a1214)
& c0_1(a1214)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a1213)
& c2_1(a1213)
& c1_1(a1213)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a1208)
& c1_1(a1208)
& c0_1(a1208)
& ndr1_0 )
| ~ hskp26 )
& ( ( c3_1(a1204)
& c2_1(a1204)
& c0_1(a1204)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a1267)
& ~ c1_1(a1267)
& c0_1(a1267)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a1261)
& ~ c2_1(a1261)
& ~ c0_1(a1261)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a1259)
& ~ c2_1(a1259)
& c0_1(a1259)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a1257)
& ~ c0_1(a1257)
& c3_1(a1257)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a1250)
& c3_1(a1250)
& c2_1(a1250)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a1247)
& ~ c2_1(a1247)
& c1_1(a1247)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a1246)
& c3_1(a1246)
& c2_1(a1246)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a1237)
& c3_1(a1237)
& c0_1(a1237)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a1236)
& ~ c1_1(a1236)
& c0_1(a1236)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a1233)
& c1_1(a1233)
& c0_1(a1233)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a1232)
& ~ c0_1(a1232)
& c3_1(a1232)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a1229)
& c2_1(a1229)
& c0_1(a1229)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a1228)
& c3_1(a1228)
& c0_1(a1228)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a1224)
& c3_1(a1224)
& c1_1(a1224)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a1223)
& ~ c1_1(a1223)
& c2_1(a1223)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c0_1(a1219)
& c2_1(a1219)
& c1_1(a1219)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a1217)
& ~ c1_1(a1217)
& ~ c0_1(a1217)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a1216)
& ~ c2_1(a1216)
& ~ c1_1(a1216)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a1215)
& c2_1(a1215)
& c1_1(a1215)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a1212)
& ~ c0_1(a1212)
& c2_1(a1212)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a1211)
& ~ c0_1(a1211)
& c1_1(a1211)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a1210)
& c1_1(a1210)
& c0_1(a1210)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a1207)
& ~ c1_1(a1207)
& ~ c0_1(a1207)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a1206)
& c2_1(a1206)
& c0_1(a1206)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a1205)
& ~ c0_1(a1205)
& c2_1(a1205)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218] :
( ( hskp23
| hskp14
| hskp18 )
& ( hskp2
| hskp10
| hskp18 )
& ( hskp7
| hskp18
| hskp4 )
& ( hskp2
| hskp19
| hskp27 )
& ( hskp7
| hskp6
| hskp22 )
& ( hskp8
| hskp6
| hskp22 )
& ( hskp23
| hskp20
| hskp16 )
& ( hskp14
| hskp19
| hskp24 )
& ( hskp4
| hskp12
| hskp17 )
& ( hskp21
| hskp25 )
& ( hskp7
| hskp24
| hskp3 )
& ( hskp5
| hskp6
| hskp15 )
& ( hskp1
| hskp25
| hskp26 )
& ( hskp24
| hskp28
| hskp26 )
& ( hskp1
| ~ c3_1(X218)
| ~ c2_1(X218)
| ~ c1_1(X218)
| ~ ndr1_0
| ~ c3_1(X217)
| ~ c2_1(X217)
| ~ c0_1(X217)
| ~ ndr1_0 )
& ( hskp7
| hskp2
| ~ c3_1(X216)
| ~ c1_1(X216)
| ~ c0_1(X216)
| ~ ndr1_0 )
& ( hskp23
| hskp0
| ~ c2_1(X215)
| ~ c1_1(X215)
| ~ c0_1(X215)
| ~ ndr1_0 )
& ( hskp22
| hskp13
| ~ c2_1(X214)
| ~ c1_1(X214)
| ~ c0_1(X214)
| ~ ndr1_0 )
& ( hskp21
| hskp0
| ~ c2_1(X213)
| ~ c1_1(X213)
| c3_1(X213)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X212)
| ~ c2_1(X212)
| ~ c1_1(X212)
| ~ ndr1_0
| ~ c3_1(X211)
| ~ c0_1(X211)
| c2_1(X211)
| ~ ndr1_0 )
& ( hskp8
| hskp11
| ~ c1_1(X210)
| ~ c0_1(X210)
| c2_1(X210)
| ~ ndr1_0 )
& ( hskp10
| ~ c3_1(X209)
| ~ c2_1(X209)
| ~ c0_1(X209)
| ~ ndr1_0
| ~ c1_1(X208)
| ~ c0_1(X208)
| c2_1(X208)
| ~ ndr1_0 )
& ( hskp8
| ~ c2_1(X207)
| ~ c1_1(X207)
| ~ c0_1(X207)
| ~ ndr1_0
| ~ c1_1(X206)
| ~ c0_1(X206)
| c2_1(X206)
| ~ ndr1_0 )
& ( hskp20
| hskp19
| ~ c1_1(X205)
| c3_1(X205)
| c2_1(X205)
| ~ ndr1_0 )
& ( hskp0
| ~ c2_1(X204)
| ~ c1_1(X204)
| c3_1(X204)
| ~ ndr1_0
| ~ c1_1(X203)
| c3_1(X203)
| c2_1(X203)
| ~ ndr1_0 )
& ( ~ c2_1(X202)
| ~ c1_1(X202)
| ~ c0_1(X202)
| ~ ndr1_0
| ~ c0_1(X201)
| c3_1(X201)
| c2_1(X201)
| ~ ndr1_0 )
& ( hskp19
| ~ c1_1(X200)
| ~ c0_1(X200)
| c2_1(X200)
| ~ ndr1_0
| ~ c3_1(X199)
| ~ c2_1(X199)
| c1_1(X199)
| ~ ndr1_0 )
& ( hskp18
| ~ c1_1(X198)
| c3_1(X198)
| c2_1(X198)
| ~ ndr1_0
| ~ c3_1(X197)
| ~ c2_1(X197)
| c1_1(X197)
| ~ ndr1_0 )
& ( hskp6
| ~ c3_1(X196)
| ~ c0_1(X196)
| c2_1(X196)
| ~ ndr1_0
| ~ c2_1(X195)
| ~ c0_1(X195)
| c1_1(X195)
| ~ ndr1_0 )
& ( hskp14
| hskp13
| ~ c2_1(X194)
| c3_1(X194)
| c1_1(X194)
| ~ ndr1_0 )
& ( hskp6
| hskp13
| ~ c2_1(X193)
| c3_1(X193)
| c1_1(X193)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X192)
| ~ c1_1(X192)
| c2_1(X192)
| ~ ndr1_0
| ~ c2_1(X191)
| c3_1(X191)
| c1_1(X191)
| ~ ndr1_0 )
& ( hskp9
| ~ c3_1(X190)
| ~ c0_1(X190)
| c1_1(X190)
| ~ ndr1_0
| ~ c2_1(X189)
| c3_1(X189)
| c1_1(X189)
| ~ ndr1_0 )
& ( hskp5
| hskp17
| ~ c0_1(X188)
| c3_1(X188)
| c1_1(X188)
| ~ ndr1_0 )
& ( hskp16
| hskp1
| ~ c3_1(X187)
| c2_1(X187)
| c1_1(X187)
| ~ ndr1_0 )
& ( hskp4
| hskp15
| ~ c3_1(X186)
| c2_1(X186)
| c1_1(X186)
| ~ ndr1_0 )
& ( hskp14
| ~ c2_1(X185)
| ~ c0_1(X185)
| c3_1(X185)
| ~ ndr1_0
| ~ c0_1(X184)
| c2_1(X184)
| c1_1(X184)
| ~ ndr1_0 )
& ( ~ c1_1(X183)
| ~ c0_1(X183)
| c3_1(X183)
| ~ ndr1_0
| ~ c1_1(X182)
| c3_1(X182)
| c2_1(X182)
| ~ ndr1_0
| ~ c0_1(X181)
| c2_1(X181)
| c1_1(X181)
| ~ ndr1_0 )
& ( hskp10
| ~ c0_1(X180)
| c3_1(X180)
| c2_1(X180)
| ~ ndr1_0
| ~ c0_1(X179)
| c2_1(X179)
| c1_1(X179)
| ~ ndr1_0 )
& ( hskp12
| hskp13
| c3_1(X178)
| c2_1(X178)
| c1_1(X178)
| ~ ndr1_0 )
& ( hskp12
| ~ c3_1(X177)
| ~ c0_1(X177)
| c2_1(X177)
| ~ ndr1_0
| c3_1(X176)
| c2_1(X176)
| c1_1(X176)
| ~ ndr1_0 )
& ( hskp11
| ~ c2_1(X175)
| ~ c1_1(X175)
| c3_1(X175)
| ~ ndr1_0
| ~ c3_1(X174)
| ~ c1_1(X174)
| c0_1(X174)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X173)
| ~ c2_1(X173)
| c0_1(X173)
| ~ ndr1_0
| ~ c3_1(X172)
| ~ c1_1(X172)
| c0_1(X172)
| ~ ndr1_0 )
& ( hskp1
| ~ c1_1(X171)
| ~ c0_1(X171)
| c2_1(X171)
| ~ ndr1_0
| ~ c2_1(X170)
| ~ c1_1(X170)
| c0_1(X170)
| ~ ndr1_0 )
& ( hskp11
| ~ c2_1(X169)
| c3_1(X169)
| c0_1(X169)
| ~ ndr1_0 )
& ( ~ c3_1(X168)
| ~ c2_1(X168)
| ~ c1_1(X168)
| ~ ndr1_0
| ~ c3_1(X167)
| ~ c1_1(X167)
| ~ c0_1(X167)
| ~ ndr1_0
| ~ c2_1(X166)
| c3_1(X166)
| c0_1(X166)
| ~ ndr1_0 )
& ( hskp10
| ~ c2_1(X165)
| ~ c0_1(X165)
| c3_1(X165)
| ~ ndr1_0
| ~ c2_1(X164)
| c3_1(X164)
| c0_1(X164)
| ~ ndr1_0 )
& ( hskp0
| ~ c0_1(X163)
| c3_1(X163)
| c1_1(X163)
| ~ ndr1_0
| ~ c2_1(X162)
| c3_1(X162)
| c0_1(X162)
| ~ ndr1_0 )
& ( hskp0
| hskp27
| ~ c1_1(X161)
| c3_1(X161)
| c0_1(X161)
| ~ ndr1_0 )
& ( ~ c3_1(X160)
| ~ c2_1(X160)
| ~ c1_1(X160)
| ~ ndr1_0
| ~ c1_1(X159)
| c3_1(X159)
| c0_1(X159)
| ~ ndr1_0 )
& ( hskp9
| ~ c3_1(X158)
| ~ c2_1(X158)
| ~ c0_1(X158)
| ~ ndr1_0
| ~ c1_1(X157)
| c3_1(X157)
| c0_1(X157)
| ~ ndr1_0 )
& ( ~ c0_1(X156)
| c3_1(X156)
| c2_1(X156)
| ~ ndr1_0
| ~ c0_1(X155)
| c3_1(X155)
| c1_1(X155)
| ~ ndr1_0
| ~ c1_1(X154)
| c3_1(X154)
| c0_1(X154)
| ~ ndr1_0 )
& ( ~ c2_1(X153)
| ~ c1_1(X153)
| ~ c0_1(X153)
| ~ ndr1_0
| ~ c3_1(X152)
| ~ c1_1(X152)
| c2_1(X152)
| ~ ndr1_0
| ~ c3_1(X151)
| c2_1(X151)
| c0_1(X151)
| ~ ndr1_0 )
& ( hskp25
| ~ c0_1(X150)
| c3_1(X150)
| c1_1(X150)
| ~ ndr1_0
| ~ c1_1(X149)
| c2_1(X149)
| c0_1(X149)
| ~ ndr1_0 )
& ( hskp8
| ~ c1_1(X148)
| c3_1(X148)
| c0_1(X148)
| ~ ndr1_0
| ~ c1_1(X147)
| c2_1(X147)
| c0_1(X147)
| ~ ndr1_0 )
& ( hskp7
| hskp6
| c3_1(X146)
| c2_1(X146)
| c0_1(X146)
| ~ ndr1_0 )
& ( hskp28
| c3_1(X145)
| c2_1(X145)
| c0_1(X145)
| ~ ndr1_0 )
& ( ~ c3_1(X144)
| ~ c1_1(X144)
| ~ c0_1(X144)
| ~ ndr1_0
| ~ c2_1(X143)
| ~ c1_1(X143)
| c3_1(X143)
| ~ ndr1_0
| c3_1(X142)
| c2_1(X142)
| c0_1(X142)
| ~ ndr1_0 )
& ( hskp27
| ~ c1_1(X141)
| ~ c0_1(X141)
| c2_1(X141)
| ~ ndr1_0
| c3_1(X140)
| c2_1(X140)
| c0_1(X140)
| ~ ndr1_0 )
& ( hskp5
| ~ c3_1(X139)
| ~ c1_1(X139)
| ~ c0_1(X139)
| ~ ndr1_0
| ~ c3_1(X138)
| c1_1(X138)
| c0_1(X138)
| ~ ndr1_0 )
& ( ~ c3_1(X137)
| ~ c1_1(X137)
| ~ c0_1(X137)
| ~ ndr1_0
| ~ c2_1(X136)
| ~ c0_1(X136)
| c3_1(X136)
| ~ ndr1_0
| ~ c3_1(X135)
| c1_1(X135)
| c0_1(X135)
| ~ ndr1_0 )
& ( hskp4
| ~ c0_1(X134)
| c3_1(X134)
| c2_1(X134)
| ~ ndr1_0
| ~ c3_1(X133)
| c1_1(X133)
| c0_1(X133)
| ~ ndr1_0 )
& ( ~ c3_1(X132)
| ~ c2_1(X132)
| ~ c0_1(X132)
| ~ ndr1_0
| ~ c0_1(X131)
| c3_1(X131)
| c2_1(X131)
| ~ ndr1_0
| ~ c3_1(X130)
| c1_1(X130)
| c0_1(X130)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X129)
| ~ c2_1(X129)
| c0_1(X129)
| ~ ndr1_0
| ~ c3_1(X128)
| c1_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp25
| c3_1(X127)
| c2_1(X127)
| c0_1(X127)
| ~ ndr1_0
| ~ c2_1(X126)
| c1_1(X126)
| c0_1(X126)
| ~ ndr1_0 )
& ( ~ c3_1(X125)
| ~ c0_1(X125)
| c2_1(X125)
| ~ ndr1_0
| c3_1(X124)
| c2_1(X124)
| c0_1(X124)
| ~ ndr1_0
| ~ c2_1(X123)
| c1_1(X123)
| c0_1(X123)
| ~ ndr1_0 )
& ( hskp26
| ~ c3_1(X122)
| c2_1(X122)
| c1_1(X122)
| ~ ndr1_0
| c3_1(X121)
| c1_1(X121)
| c0_1(X121)
| ~ ndr1_0 )
& ( hskp2
| hskp1
| c2_1(X120)
| c1_1(X120)
| c0_1(X120)
| ~ ndr1_0 )
& ( hskp0
| hskp25
| c2_1(X119)
| c1_1(X119)
| c0_1(X119)
| ~ ndr1_0 )
& ( ~ c3_1(X118)
| ~ c0_1(X118)
| c1_1(X118)
| ~ ndr1_0
| ~ c2_1(X117)
| ~ c1_1(X117)
| c0_1(X117)
| ~ ndr1_0
| c2_1(X116)
| c1_1(X116)
| c0_1(X116)
| ~ ndr1_0 )
& ( ~ c0_1(X115)
| c2_1(X115)
| c1_1(X115)
| ~ ndr1_0
| ~ c2_1(X114)
| c3_1(X114)
| c0_1(X114)
| ~ ndr1_0
| c2_1(X113)
| c1_1(X113)
| c0_1(X113)
| ~ ndr1_0 )
& ( ~ c1_1(X112)
| c3_1(X112)
| c0_1(X112)
| ~ ndr1_0
| ~ c3_1(X111)
| c2_1(X111)
| c0_1(X111)
| ~ ndr1_0
| c2_1(X110)
| c1_1(X110)
| c0_1(X110)
| ~ ndr1_0 )
& ( ~ hskp28
| c3_1(a1214) )
& ( ~ hskp28
| c1_1(a1214) )
& ( ~ hskp28
| c0_1(a1214) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| c3_1(a1213) )
& ( ~ hskp27
| c2_1(a1213) )
& ( ~ hskp27
| c1_1(a1213) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| c2_1(a1208) )
& ( ~ hskp26
| c1_1(a1208) )
& ( ~ hskp26
| c0_1(a1208) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| c3_1(a1204) )
& ( ~ hskp25
| c2_1(a1204) )
& ( ~ hskp25
| c0_1(a1204) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c2_1(a1267) )
& ( ~ hskp24
| ~ c1_1(a1267) )
& ( ~ hskp24
| c0_1(a1267) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c3_1(a1261) )
& ( ~ hskp23
| ~ c2_1(a1261) )
& ( ~ hskp23
| ~ c0_1(a1261) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c3_1(a1259) )
& ( ~ hskp22
| ~ c2_1(a1259) )
& ( ~ hskp22
| c0_1(a1259) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c1_1(a1257) )
& ( ~ hskp21
| ~ c0_1(a1257) )
& ( ~ hskp21
| c3_1(a1257) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c0_1(a1250) )
& ( ~ hskp20
| c3_1(a1250) )
& ( ~ hskp20
| c2_1(a1250) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c3_1(a1247) )
& ( ~ hskp19
| ~ c2_1(a1247) )
& ( ~ hskp19
| c1_1(a1247) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c1_1(a1246) )
& ( ~ hskp18
| c3_1(a1246) )
& ( ~ hskp18
| c2_1(a1246) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c1_1(a1237) )
& ( ~ hskp17
| c3_1(a1237) )
& ( ~ hskp17
| c0_1(a1237) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c3_1(a1236) )
& ( ~ hskp16
| ~ c1_1(a1236) )
& ( ~ hskp16
| c0_1(a1236) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c2_1(a1233) )
& ( ~ hskp15
| c1_1(a1233) )
& ( ~ hskp15
| c0_1(a1233) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c2_1(a1232) )
& ( ~ hskp14
| ~ c0_1(a1232) )
& ( ~ hskp14
| c3_1(a1232) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c1_1(a1229) )
& ( ~ hskp13
| c2_1(a1229) )
& ( ~ hskp13
| c0_1(a1229) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c2_1(a1228) )
& ( ~ hskp12
| c3_1(a1228) )
& ( ~ hskp12
| c0_1(a1228) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c2_1(a1224) )
& ( ~ hskp11
| c3_1(a1224) )
& ( ~ hskp11
| c1_1(a1224) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c3_1(a1223) )
& ( ~ hskp10
| ~ c1_1(a1223) )
& ( ~ hskp10
| c2_1(a1223) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c0_1(a1219) )
& ( ~ hskp9
| c2_1(a1219) )
& ( ~ hskp9
| c1_1(a1219) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c3_1(a1217) )
& ( ~ hskp8
| ~ c1_1(a1217) )
& ( ~ hskp8
| ~ c0_1(a1217) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c3_1(a1216) )
& ( ~ hskp7
| ~ c2_1(a1216) )
& ( ~ hskp7
| ~ c1_1(a1216) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c3_1(a1215) )
& ( ~ hskp6
| c2_1(a1215) )
& ( ~ hskp6
| c1_1(a1215) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c3_1(a1212) )
& ( ~ hskp5
| ~ c0_1(a1212) )
& ( ~ hskp5
| c2_1(a1212) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c2_1(a1211) )
& ( ~ hskp4
| ~ c0_1(a1211) )
& ( ~ hskp4
| c1_1(a1211) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a1210) )
& ( ~ hskp3
| c1_1(a1210) )
& ( ~ hskp3
| c0_1(a1210) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c2_1(a1207) )
& ( ~ hskp2
| ~ c1_1(a1207) )
& ( ~ hskp2
| ~ c0_1(a1207) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c3_1(a1206) )
& ( ~ hskp1
| c2_1(a1206) )
& ( ~ hskp1
| c0_1(a1206) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c1_1(a1205) )
& ( ~ hskp0
| ~ c0_1(a1205) )
& ( ~ hskp0
| c2_1(a1205) )
& ( ~ hskp0
| ndr1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( hskp21
| hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ ndr1_0
| hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_10,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_12,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1247) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1247) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp28 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
fof(c_0_16,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_17,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_8])]) ).
cnf(c_0_18,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( ~ hskp28
| c1_1(a1214) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
( ~ hskp28
| c0_1(a1214) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
( ~ hskp28
| c3_1(a1214) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ c0_1(a1247)
| ~ hskp19
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_23,negated_conjecture,
( ~ hskp19
| c0_1(a1247)
| hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_15]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1267) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp24
| c0_1(a1267) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1267) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1232) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp28
| epred58_0 ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_30,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1232) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ hskp28
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp19
| hskp28
| epred1_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( ~ hskp24
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( hskp14
| hskp19
| hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_35,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_36,negated_conjecture,
( hskp24
| hskp28
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_38,negated_conjecture,
( ~ hskp14
| hskp28
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp19
| epred1_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( hskp14
| hskp19
| epred16_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( ~ hskp26
| c1_1(a1208) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,negated_conjecture,
( ~ hskp26
| c2_1(a1208) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_44,negated_conjecture,
( ~ hskp26
| c0_1(a1208) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
( hskp24
| hskp26
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
fof(c_0_46,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_47,plain,
( ~ epred59_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_48,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_49,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1216) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1216) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( ~ hskp14
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_54,negated_conjecture,
( hskp14
| epred1_0
| epred16_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_55,negated_conjecture,
( ~ hskp26
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( hskp26
| epred16_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
fof(c_0_57,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_58,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_46]) ).
cnf(c_0_59,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| epred59_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_47]),c_0_8])]) ).
cnf(c_0_60,negated_conjecture,
( ~ hskp27
| c1_1(a1213) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_61,negated_conjecture,
( ~ hskp27
| c3_1(a1213) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_63,negated_conjecture,
( ~ hskp11
| c1_1(a1224) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_64,negated_conjecture,
( ~ hskp11
| c3_1(a1224) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_65,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| hskp11
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_66,negated_conjecture,
( ~ c0_1(a1216)
| ~ hskp7
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_13]),c_0_50]) ).
cnf(c_0_67,negated_conjecture,
( ~ hskp7
| c0_1(a1216)
| hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_15]),c_0_50]) ).
cnf(c_0_68,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1259) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_69,negated_conjecture,
( ~ hskp22
| c0_1(a1259) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_70,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1259) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_71,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| hskp14
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_72,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c2_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[c_0_51]) ).
cnf(c_0_73,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52,c_0_7]),c_0_35]) ).
cnf(c_0_74,negated_conjecture,
( epred1_0
| epred16_0
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_75,negated_conjecture,
( epred2_0
| epred16_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_76,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1257) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_77,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_57]) ).
cnf(c_0_78,negated_conjecture,
( ~ hskp21
| c3_1(a1257) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_79,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1257) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_80,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| epred41_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_81,negated_conjecture,
( ~ c0_1(a1213)
| ~ hskp27
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_60]),c_0_61]) ).
cnf(c_0_82,negated_conjecture,
( ~ hskp27
| c0_1(a1213)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_61]) ).
cnf(c_0_83,negated_conjecture,
( ~ c0_1(a1224)
| ~ hskp11
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_63]),c_0_64]) ).
cnf(c_0_84,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_29]) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1224) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_86,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp11
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_65]),c_0_8])]) ).
cnf(c_0_87,negated_conjecture,
( ~ hskp6
| c1_1(a1215) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_88,negated_conjecture,
( ~ hskp6
| c2_1(a1215) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_89,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1215) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_90,negated_conjecture,
( ~ hskp7
| hskp28
| epred1_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp22
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_13]),c_0_69]),c_0_70]) ).
cnf(c_0_92,negated_conjecture,
( hskp7
| hskp6
| hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_93,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| hskp14
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_71]),c_0_8])]) ).
cnf(c_0_94,negated_conjecture,
( ~ hskp1
| c0_1(a1206) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp1
| c2_1(a1206) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_96,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1206) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_97,negated_conjecture,
( ~ epred16_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_72,c_0_71]),c_0_16]) ).
cnf(c_0_98,negated_conjecture,
( epred16_0
| epred38_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_99,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_100,negated_conjecture,
( ~ hskp25
| c3_1(a1204) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_101,negated_conjecture,
( ~ hskp25
| c2_1(a1204) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_102,negated_conjecture,
( ~ hskp25
| c0_1(a1204) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_103,negated_conjecture,
( ~ hskp21
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]) ).
cnf(c_0_104,negated_conjecture,
( ~ hskp26
| epred41_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_43]) ).
cnf(c_0_105,negated_conjecture,
( hskp1
| hskp25
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1207) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_107,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1207) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_108,negated_conjecture,
( ~ hskp27
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_109,negated_conjecture,
( hskp2
| hskp19
| hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_110,negated_conjecture,
( ~ hskp11
| epred38_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp6
| hskp11
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp7
| epred1_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_90]) ).
cnf(c_0_113,negated_conjecture,
( hskp6
| hskp7
| epred1_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_114,negated_conjecture,
( ~ hskp1
| hskp14
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_115,negated_conjecture,
( ~ epred32_0
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_116,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_99]) ).
cnf(c_0_117,negated_conjecture,
( ~ hskp25
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_100]),c_0_101]),c_0_102]) ).
cnf(c_0_118,negated_conjecture,
( hskp25
| epred12_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_5]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp1
| epred41_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_94]),c_0_95]) ).
cnf(c_0_120,negated_conjecture,
( hskp1
| hskp25
| epred41_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp25
| epred41_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_102]),c_0_101]) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp2
| hskp28
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_29]),c_0_107]) ).
cnf(c_0_123,negated_conjecture,
( hskp2
| hskp19
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp6
| epred38_0
| epred42_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_125,negated_conjecture,
( hskp6
| epred1_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp1
| epred38_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_114]),c_0_115]) ).
cnf(c_0_127,negated_conjecture,
( hskp1
| hskp25
| epred2_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_105]) ).
cnf(c_0_128,negated_conjecture,
( ~ epred12_0
| ~ epred38_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_116,c_0_47]),c_0_57]),c_0_11]) ).
cnf(c_0_129,negated_conjecture,
( epred12_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_130,negated_conjecture,
( epred41_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp2
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_122]) ).
cnf(c_0_132,negated_conjecture,
( hskp2
| epred1_0
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_123]) ).
cnf(c_0_133,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_134,negated_conjecture,
( epred1_0
| epred38_0
| epred42_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,negated_conjecture,
( hskp25
| epred2_0
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,negated_conjecture,
( ~ epred38_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( epred1_0
| epred38_0
| epred43_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp11
| c3_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_139,plain,
( ~ epred47_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_140,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c2_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[c_0_133]) ).
cnf(c_0_141,negated_conjecture,
( ~ epred2_0
| epred38_0
| epred42_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_134]) ).
cnf(c_0_142,negated_conjecture,
( epred2_0
| epred41_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_135]),c_0_136]) ).
cnf(c_0_143,negated_conjecture,
( ~ epred2_0
| epred38_0
| epred43_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_137]) ).
fof(c_0_144,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_145,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X1)
| hskp11 ),
inference(cn,[status(thm)],[c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( ~ epred41_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_140,c_0_139]),c_0_46]) ).
cnf(c_0_147,negated_conjecture,
( epred41_0
| epred42_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_136]) ).
cnf(c_0_148,negated_conjecture,
( epred41_0
| epred43_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_142]),c_0_136]) ).
cnf(c_0_149,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_144]) ).
cnf(c_0_150,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp11
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_151,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_152,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp10
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_8])]) ).
cnf(c_0_153,negated_conjecture,
( ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_145,c_0_65]),c_0_48]) ).
cnf(c_0_154,negated_conjecture,
( ~ epred47_0
| epred42_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
( ~ epred47_0
| epred43_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_148]) ).
cnf(c_0_156,negated_conjecture,
( ~ c0_1(a1224)
| ~ hskp11
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_63]),c_0_85]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp11
| c0_1(a1224)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_64]),c_0_85]) ).
cnf(c_0_158,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_8])]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp5
| c2_1(a1212) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1212) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1212) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp15
| c1_1(a1233) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp15
| c0_1(a1233) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1233) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_165,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp10
| ~ c3_1(a1223) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp10
| c2_1(a1223) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_168,negated_conjecture,
( ~ c0_1(a1224)
| ~ hskp11
| hskp10
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_63]),c_0_85]) ).
cnf(c_0_169,negated_conjecture,
( ~ epred47_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
fof(c_0_170,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_172,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp6
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_174,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp6
| hskp13
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp11
| epred21_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp5
| hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_161]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp15
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_178,negated_conjecture,
( hskp5
| hskp6
| hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_179,negated_conjecture,
( ~ c0_1(a1224)
| ~ hskp11
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_64]),c_0_85]) ).
cnf(c_0_180,negated_conjecture,
( ~ c0_1(a1223)
| ~ hskp10
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_59]),c_0_167]) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp10
| c0_1(a1223)
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_167]),c_0_166]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp11
| hskp10
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_157]),c_0_169]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp15
| hskp10
| epred47_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_184,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_59]),c_0_88]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp6
| c0_1(a1215)
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_88]),c_0_89]) ).
fof(c_0_186,plain,
( ~ epred55_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_187,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_188,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_170]) ).
cnf(c_0_189,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred31_0 ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1205) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1205) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_192,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp14
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_8])]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp0
| c2_1(a1205) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_194,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp21
| hskp0
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_195,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp1
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_196,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| hskp6
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_8])]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp13
| c0_1(a1229) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp13
| c2_1(a1229) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1229) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_200,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp6
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_8])]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1223) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_202,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp1
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp5
| epred21_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_204,negated_conjecture,
( hskp5
| hskp6
| epred21_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_205,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp6
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp11
| epred18_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_157]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp10
| hskp11
| epred59_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp5
| hskp10
| epred58_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_176]) ).
cnf(c_0_209,negated_conjecture,
( hskp5
| hskp6
| hskp10
| epred47_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_178]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp6
| hskp11
| epred59_0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
fof(c_0_211,plain,
( ~ epred54_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp11
| c0_1(a1224)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_213,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred55_0 ),
inference(split_equiv,[status(thm)],[c_0_186]) ).
cnf(c_0_214,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_8])]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp19
| c1_1(a1247) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_216,negated_conjecture,
( ~ c2_1(a1214)
| ~ hskp28
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_19]),c_0_21]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_19]),c_0_21]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp27
| c2_1(a1213) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp14
| c3_1(a1232) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1205)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_77]),c_0_191]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp0
| c3_1(a1205)
| hskp14
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_190]) ).
cnf(c_0_222,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c3_1(X1)
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_8])]) ).
cnf(c_0_223,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| hskp1
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_8])]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp13
| hskp6
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp10
| hskp6
| hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_167]),c_0_201]),c_0_166]) ).
cnf(c_0_226,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X2)
| hskp1 ),
inference(cn,[status(thm)],[c_0_202]) ).
cnf(c_0_227,negated_conjecture,
( hskp6
| epred21_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_228,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X2)
| hskp6 ),
inference(cn,[status(thm)],[c_0_205]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp10
| epred18_0
| epred58_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_230,negated_conjecture,
( hskp6
| hskp10
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_169]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp6
| epred18_0
| epred58_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_210]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp0
| c3_1(a1205)
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_193]),c_0_191]) ).
cnf(c_0_233,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_211]),c_0_8])]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp11
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_212]) ).
cnf(c_0_235,negated_conjecture,
( ~ c3_1(a1233)
| ~ hskp15
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_162]),c_0_163]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp15
| c3_1(a1233)
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_162]),c_0_163]) ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_87]),c_0_89]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp19
| c0_1(a1247)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_12]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp28
| epred4_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp27
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_60]),c_0_218]),c_0_61]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp14
| epred58_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_219]),c_0_30]),c_0_28]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp0
| hskp14
| epred12_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp6
| hskp0
| hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp10
| hskp14
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_167]),c_0_201]),c_0_166]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp6
| c0_1(a1215)
| hskp1
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_87]),c_0_88]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp1
| epred59_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_59]),c_0_95]),c_0_94]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp10
| hskp6
| epred39_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_248,negated_conjecture,
( ~ epred21_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_195]),c_0_144]) ).
cnf(c_0_249,negated_conjecture,
( epred21_0
| epred58_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_210]),c_0_227]) ).
cnf(c_0_250,negated_conjecture,
( ~ epred18_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_228,c_0_173]),c_0_151]) ).
cnf(c_0_251,negated_conjecture,
( epred18_0
| epred58_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp11
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_63]),c_0_64]),c_0_85]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp0
| hskp11
| epred12_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_232]) ).
cnf(c_0_254,negated_conjecture,
( ~ c3_1(a1233)
| ~ hskp15
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_162]),c_0_164]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp15
| c3_1(a1233)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_162]),c_0_164]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp5
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_176]) ).
cnf(c_0_257,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp15
| epred38_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp6
| hskp11
| epred55_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_185]) ).
cnf(c_0_260,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp19
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp19
| epred1_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_238]) ).
cnf(c_0_262,negated_conjecture,
( ~ c2_1(a1214)
| ~ hskp28
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_19]),c_0_20]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp19
| epred1_0
| epred4_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_32]) ).
cnf(c_0_264,negated_conjecture,
( hskp2
| hskp19
| epred4_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_109]) ).
cnf(c_0_265,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c2_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp0
| epred12_0
| epred30_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp6
| hskp0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_243]) ).
cnf(c_0_268,negated_conjecture,
( hskp6
| epred30_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_230]),c_0_241]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp6
| epred35_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_245]),c_0_246]) ).
cnf(c_0_270,negated_conjecture,
( hskp6
| epred39_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_230]) ).
cnf(c_0_271,negated_conjecture,
( ~ epred35_0
| epred58_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_272,negated_conjecture,
( ~ epred39_0
| epred58_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp0
| epred12_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp15
| epred31_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp5
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_176]) ).
fof(c_0_276,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp19
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1261) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp23
| ~ c2_1(a1261) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp0
| epred12_0
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_253]) ).
cnf(c_0_280,negated_conjecture,
( hskp6
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_204]) ).
cnf(c_0_281,negated_conjecture,
( ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X1)
| ~ c0_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c3_1(X3)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_257]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp5
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_176]) ).
cnf(c_0_283,negated_conjecture,
( hskp5
| hskp6
| epred38_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_178]) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp6
| epred38_0
| epred55_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_259]) ).
cnf(c_0_285,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X2)
| hskp19 ),
inference(cn,[status(thm)],[c_0_260]) ).
cnf(c_0_286,negated_conjecture,
( hskp14
| epred1_0
| epred3_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_40]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp28
| epred2_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_217]) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp2
| epred4_0
| epred31_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_122]) ).
cnf(c_0_289,negated_conjecture,
( hskp2
| epred1_0
| epred4_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_290,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| c2_1(X2)
| hskp14 ),
inference(cn,[status(thm)],[c_0_265]) ).
cnf(c_0_291,negated_conjecture,
( epred12_0
| epred30_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).
cnf(c_0_292,negated_conjecture,
( epred58_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]),c_0_272]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp6
| epred12_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_267]) ).
cnf(c_0_294,negated_conjecture,
( hskp6
| epred31_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_178]),c_0_275]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp10
| epred31_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_207]) ).
cnf(c_0_296,negated_conjecture,
( hskp6
| hskp10
| epred31_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_209]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp6
| epred31_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_210]) ).
cnf(c_0_298,negated_conjecture,
( ~ epred47_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_130]) ).
cnf(c_0_299,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| hskp19
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_276]),c_0_8])]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp18
| c3_1(a1246) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp18
| c2_1(a1246) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp18
| ~ c1_1(a1246) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp23
| hskp28
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_29]),c_0_278]) ).
cnf(c_0_304,negated_conjecture,
( epred12_0
| epred21_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_267]),c_0_280]) ).
cnf(c_0_305,negated_conjecture,
( epred21_0
| epred43_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_210]),c_0_280]) ).
cnf(c_0_306,negated_conjecture,
( ~ hskp19
| epred54_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_215]),c_0_14]),c_0_12]) ).
cnf(c_0_307,negated_conjecture,
( ~ epred16_0
| ~ epred54_0
| ~ epred55_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_281,c_0_211]),c_0_186]),c_0_16]) ).
cnf(c_0_308,negated_conjecture,
( epred38_0
| epred55_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]) ).
cnf(c_0_309,negated_conjecture,
( ~ epred21_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_285,c_0_276]),c_0_144]) ).
cnf(c_0_310,negated_conjecture,
( epred21_0
| epred42_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_111]),c_0_227]) ).
cnf(c_0_311,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_312,negated_conjecture,
( epred1_0
| epred3_0
| epred16_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_286]) ).
cnf(c_0_313,negated_conjecture,
( hskp24
| epred2_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_36]),c_0_55]) ).
cnf(c_0_314,negated_conjecture,
( epred1_0
| epred4_0
| epred31_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_315,negated_conjecture,
( ~ epred30_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_172]),c_0_171]) ).
cnf(c_0_316,negated_conjecture,
( ~ epred38_0
| epred30_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_291]),c_0_292]) ).
cnf(c_0_317,negated_conjecture,
( epred12_0
| epred31_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_318,negated_conjecture,
( epred31_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]),c_0_298]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp18
| hskp19
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301]),c_0_302]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp23
| epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_303]) ).
cnf(c_0_321,negated_conjecture,
( hskp23
| hskp14
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_322,negated_conjecture,
( ~ epred38_0
| epred21_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_304]),c_0_305]) ).
cnf(c_0_323,negated_conjecture,
( hskp2
| epred38_0
| epred43_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_123]) ).
cnf(c_0_324,negated_conjecture,
( ~ epred54_0
| epred38_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_98]),c_0_308]) ).
cnf(c_0_325,negated_conjecture,
( ~ epred44_0
| epred42_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp15
| epred31_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_236]) ).
fof(c_0_327,plain,
( ~ epred36_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp3
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_328,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_311]) ).
cnf(c_0_329,negated_conjecture,
( ~ epred2_0
| epred3_0
| epred16_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_312]) ).
cnf(c_0_330,negated_conjecture,
( epred2_0
| epred16_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_313]) ).
cnf(c_0_331,negated_conjecture,
( ~ epred2_0
| epred4_0
| epred31_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_314]) ).
cnf(c_0_332,negated_conjecture,
( ~ epred31_0
| ~ epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_333,negated_conjecture,
( ~ epred38_0
| epred31_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_317]),c_0_318]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp18
| epred44_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_319]) ).
cnf(c_0_335,negated_conjecture,
( hskp18
| epred38_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_53]) ).
cnf(c_0_336,negated_conjecture,
( ~ epred38_0
| ~ epred44_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_322]) ).
cnf(c_0_337,negated_conjecture,
( epred38_0
| epred43_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_323]),c_0_324]) ).
cnf(c_0_338,negated_conjecture,
( ~ epred43_0
| ~ epred44_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_325]) ).
cnf(c_0_339,negated_conjecture,
( hskp5
| hskp6
| epred31_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_178]) ).
cnf(c_0_340,negated_conjecture,
( ~ hskp6
| epred31_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_259]) ).
cnf(c_0_341,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp3
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_327]),c_0_8])]) ).
cnf(c_0_342,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp7
| hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_343,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_344,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_328,c_0_187]),c_0_170]) ).
cnf(c_0_345,negated_conjecture,
( epred3_0
| epred16_0
| epred31_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_346,negated_conjecture,
( epred4_0
| epred16_0
| epred31_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_330]) ).
cnf(c_0_347,negated_conjecture,
( ~ epred38_0
| epred54_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_348,negated_conjecture,
( epred38_0
| epred44_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_324]) ).
cnf(c_0_349,negated_conjecture,
( ~ epred44_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]) ).
cnf(c_0_350,negated_conjecture,
( epred31_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_339]),c_0_340]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp11
| c0_1(a1224)
| hskp3
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_63]),c_0_64]) ).
fof(c_0_352,plain,
( ~ epred49_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_353,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp2
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_8])]) ).
cnf(c_0_354,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_343]) ).
cnf(c_0_355,negated_conjecture,
( epred16_0
| epred31_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_356,negated_conjecture,
( epred54_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]) ).
cnf(c_0_357,negated_conjecture,
( epred55_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_350]),c_0_308]) ).
cnf(c_0_358,negated_conjecture,
( ~ hskp3
| c1_1(a1210) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp3
| c0_1(a1210) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp11
| hskp3
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_351]) ).
cnf(c_0_361,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_25]) ).
cnf(c_0_362,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_352]),c_0_8])]) ).
fof(c_0_363,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_364,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_365,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp8
| hskp11
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_366,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp23
| hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_367,negated_conjecture,
( ~ c0_1(a1213)
| ~ hskp27
| hskp2
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_60]),c_0_61]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp27
| c0_1(a1213)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_61]),c_0_218]) ).
fof(c_0_369,plain,
( ~ epred50_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_370,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_371,negated_conjecture,
( epred31_0
| epred58_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_355]),c_0_356]),c_0_357]) ).
cnf(c_0_372,negated_conjecture,
( ~ c2_1(a1210)
| ~ hskp3
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_358]),c_0_359]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp3
| c2_1(a1210)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_358]),c_0_359]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp5
| hskp3
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_176]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_20]) ).
cnf(c_0_376,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_87]),c_0_88]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp6
| c0_1(a1215)
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_362]),c_0_88]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp5
| epred49_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_362]),c_0_159]),c_0_160]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1217) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_380,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_363]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1217) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1217) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_383,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_364]) ).
cnf(c_0_384,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp8
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_8])]) ).
cnf(c_0_385,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| hskp0
| hskp23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_8])]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp28
| hskp2
| hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp27
| hskp2
| hskp7
| epred25_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1216) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_389,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred50_0 ),
inference(split_equiv,[status(thm)],[c_0_369]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_19]),c_0_20]) ).
cnf(c_0_391,negated_conjecture,
( ~ c0_1(a1247)
| ~ hskp19
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_215]),c_0_14]) ).
cnf(c_0_392,negated_conjecture,
( ~ c0_1(a1213)
| ~ hskp27
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_218]) ).
cnf(c_0_393,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_370]) ).
cnf(c_0_394,negated_conjecture,
( ~ epred38_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_371]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp6
| c0_1(a1215)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_87]),c_0_89]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp3
| epred2_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_397,negated_conjecture,
( hskp3
| hskp6
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_204]) ).
cnf(c_0_398,negated_conjecture,
( ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp28
| epred2_0
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_375]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp24
| epred16_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_26]),c_0_27]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp6
| epred2_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_402,negated_conjecture,
( hskp6
| epred21_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_204]) ).
cnf(c_0_403,negated_conjecture,
( ~ c2_1(a1217)
| ~ hskp8
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_381]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp8
| c2_1(a1217)
| hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_15]),c_0_381]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp11
| c0_1(a1224)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_63]),c_0_85]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp15
| hskp8
| hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_162]),c_0_163]),c_0_164]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1261) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_408,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| hskp0
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_87]),c_0_88]) ).
cnf(c_0_409,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1207) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp19
| hskp2
| hskp7
| epred1_0 ),
inference(spm,[status(thm)],[c_0_386,c_0_32]) ).
cnf(c_0_412,negated_conjecture,
( hskp2
| hskp7
| hskp19
| epred25_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_109]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp7
| c0_1(a1216)
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_50]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp28
| epred2_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_390]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp19
| hskp28
| epred21_0 ),
inference(spm,[status(thm)],[c_0_391,c_0_23]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp27
| epred2_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_368]) ).
cnf(c_0_417,negated_conjecture,
( ~ epred2_0
| ~ epred31_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_393,c_0_10]),c_0_171]),c_0_35]) ).
cnf(c_0_418,negated_conjecture,
epred58_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_324]),c_0_356]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp6
| epred2_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_395]) ).
cnf(c_0_420,negated_conjecture,
( hskp6
| epred2_0
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp28
| epred4_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_390]) ).
cnf(c_0_422,negated_conjecture,
( ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_398]) ).
cnf(c_0_423,negated_conjecture,
( epred2_0
| epred16_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_36]),c_0_400]),c_0_55]) ).
cnf(c_0_424,negated_conjecture,
( epred2_0
| epred21_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp8
| hskp28
| epred6_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp11
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_405]) ).
cnf(c_0_427,negated_conjecture,
( hskp6
| hskp8
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_178]),c_0_176]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp23
| hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_15]),c_0_278]),c_0_277]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp6
| hskp0
| hskp11
| hskp23 ),
inference(spm,[status(thm)],[c_0_408,c_0_185]) ).
fof(c_0_430,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_431,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp5
| hskp17
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_432,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| hskp13
| hskp22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_8])]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp2
| epred50_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_389]),c_0_107]),c_0_106]) ).
cnf(c_0_434,negated_conjecture,
( hskp2
| hskp7
| epred1_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp7
| epred1_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_413]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp19
| epred2_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_437,negated_conjecture,
( hskp2
| hskp19
| epred2_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_416,c_0_109]) ).
cnf(c_0_438,negated_conjecture,
( ~ epred2_0
| ~ epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_417,c_0_418])]) ).
cnf(c_0_439,negated_conjecture,
( epred2_0
| epred3_0
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp19
| epred4_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_421,c_0_415]) ).
cnf(c_0_441,negated_conjecture,
( ~ epred16_0
| ~ epred49_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_422,c_0_352]),c_0_369]),c_0_16]) ).
cnf(c_0_442,negated_conjecture,
( ~ epred31_0
| ~ epred58_0
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_417,c_0_423]) ).
cnf(c_0_443,negated_conjecture,
( ~ epred31_0
| ~ epred58_0
| epred21_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_417,c_0_424]) ).
fof(c_0_444,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp6
| hskp11
| epred2_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_185]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp8
| epred6_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_425]) ).
cnf(c_0_447,negated_conjecture,
( hskp6
| hskp8
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp23
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_428]) ).
cnf(c_0_449,negated_conjecture,
( ~ hskp6
| hskp0
| hskp23
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_429]) ).
cnf(c_0_450,negated_conjecture,
( hskp6
| hskp8
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_427]) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp17
| c3_1(a1237) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp17
| c0_1(a1237) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_453,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_430]) ).
cnf(c_0_454,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp5
| hskp17 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_8])]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1237) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_456,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| hskp13
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_87]),c_0_88]) ).
cnf(c_0_457,negated_conjecture,
( epred1_0
| epred25_0
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_435]) ).
cnf(c_0_458,negated_conjecture,
( hskp2
| epred2_0
| epred21_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_459,negated_conjecture,
( ~ epred31_0
| epred3_0
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_460,negated_conjecture,
( hskp2
| epred4_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_264]) ).
cnf(c_0_461,negated_conjecture,
( ~ epred31_0
| ~ epred49_0
| ~ epred50_0
| ~ epred58_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_462,negated_conjecture,
( ~ epred31_0
| epred21_0
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_418])]) ).
fof(c_0_463,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ ndr1_0
| hskp27
| c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_464,plain,
( ~ epred51_0
<=> ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_465,plain,
( ~ epred56_0
<=> ! [X1] :
( ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1210) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_467,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp3
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_444]),c_0_8])]) ).
cnf(c_0_468,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp6
| epred2_0
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_445]) ).
cnf(c_0_470,negated_conjecture,
( hskp6
| epred6_0
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp0
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_380]),c_0_193]),c_0_191]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp6
| hskp0
| epred31_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_473,negated_conjecture,
( hskp6
| epred6_0
| epred31_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_446,c_0_450]) ).
cnf(c_0_474,negated_conjecture,
( ~ c2_1(a1237)
| ~ hskp17
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_451]),c_0_452]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp17
| c2_1(a1237)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_451]),c_0_452]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp12
| c3_1(a1228) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp12
| c0_1(a1228) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp12
| ~ c2_1(a1228) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_479,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp25
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp20
| c3_1(a1250) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp20
| c2_1(a1250) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp20
| ~ c0_1(a1250) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_483,negated_conjecture,
( ~ c2_1(a1214)
| ~ hskp28
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_20]) ).
cnf(c_0_484,negated_conjecture,
( ~ c3_1(a1229)
| ~ hskp13
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_453]),c_0_197]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp13
| c3_1(a1229)
| hskp5
| hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_197]),c_0_199]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp17
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_453]),c_0_452]),c_0_451]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp6
| hskp11
| hskp13
| hskp22 ),
inference(spm,[status(thm)],[c_0_456,c_0_185]) ).
cnf(c_0_488,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp3
| c0_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_489,negated_conjecture,
( ~ epred2_0
| epred25_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_457]) ).
cnf(c_0_490,negated_conjecture,
( epred2_0
| epred21_0
| epred25_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_458]) ).
cnf(c_0_491,negated_conjecture,
( ~ epred4_0
| ~ epred31_0
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_459]) ).
cnf(c_0_492,negated_conjecture,
( epred4_0
| epred21_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_460]) ).
cnf(c_0_493,negated_conjecture,
( ~ epred31_0
| ~ epred50_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_461,c_0_418])]),c_0_462]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp6
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_111]) ).
cnf(c_0_495,negated_conjecture,
( hskp6
| epred21_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_204]) ).
cnf(c_0_496,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp27
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_463]),c_0_8])]) ).
cnf(c_0_497,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_464]) ).
cnf(c_0_498,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred56_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_465]),c_0_8])]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp3
| c2_1(a1210)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_358]),c_0_466]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp21
| hskp3
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_78]),c_0_79]),c_0_76]) ).
cnf(c_0_501,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp25
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_502,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_503,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_468]) ).
cnf(c_0_504,negated_conjecture,
( epred2_0
| epred6_0
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
cnf(c_0_505,negated_conjecture,
( epred6_0
| epred31_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_472]),c_0_473]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp4
| c1_1(a1211) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp4
| ~ c2_1(a1211) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1211) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp17
| epred18_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_510,negated_conjecture,
( hskp4
| hskp12
| hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp12
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_476]),c_0_477]),c_0_478]) ).
cnf(c_0_512,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp25
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_479]),c_0_8])]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp16
| c0_1(a1236) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp16
| ~ c1_1(a1236) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1236) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp20
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_480]),c_0_481]),c_0_482]) ).
cnf(c_0_517,negated_conjecture,
( hskp23
| hskp20
| hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp28
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_217]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp13
| hskp5
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_486]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp6
| hskp13
| hskp22
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_487]) ).
cnf(c_0_521,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| hskp3 ),
inference(cn,[status(thm)],[c_0_488]) ).
cnf(c_0_522,negated_conjecture,
( epred21_0
| epred25_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_523,negated_conjecture,
( ~ epred31_0
| epred21_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_493]) ).
cnf(c_0_524,negated_conjecture,
( epred21_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp19
| epred21_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_415]) ).
cnf(c_0_526,negated_conjecture,
( ~ c0_1(a1247)
| ~ hskp19
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_215]),c_0_12]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp19
| c0_1(a1247)
| hskp27
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_496]),c_0_14]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp11
| c0_1(a1224)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_64]),c_0_85]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp19
| c0_1(a1247)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_215]),c_0_14]) ).
fof(c_0_530,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp7
| c0_1(a1216)
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_498]),c_0_50]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp3
| epred2_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_499]) ).
cnf(c_0_533,negated_conjecture,
( hskp3
| hskp25
| epred24_0 ),
inference(spm,[status(thm)],[c_0_500,c_0_5]) ).
cnf(c_0_534,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c0_1(X1)
| c2_1(X1)
| hskp25 ),
inference(cn,[status(thm)],[c_0_501]) ).
cnf(c_0_535,negated_conjecture,
( ~ epred6_0
| ~ epred18_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_503,c_0_502]),c_0_363]),c_0_151]) ).
cnf(c_0_536,negated_conjecture,
( epred6_0
| epred14_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_504]),c_0_505]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp4
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_506]),c_0_507]),c_0_508]) ).
cnf(c_0_538,negated_conjecture,
( hskp4
| epred18_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp16
| hskp25
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]),c_0_515]) ).
cnf(c_0_540,negated_conjecture,
( hskp16
| hskp23
| epred25_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp23
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_428]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp8
| epred6_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_425]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp13
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_519]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp6
| hskp13
| epred1_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_91,c_0_520]) ).
cnf(c_0_545,negated_conjecture,
( ~ epred25_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_521,c_0_327]),c_0_343]) ).
cnf(c_0_546,negated_conjecture,
( ~ epred44_0
| epred25_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_522]) ).
cnf(c_0_547,negated_conjecture,
( ~ epred31_0
| ~ epred44_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_523]) ).
cnf(c_0_548,negated_conjecture,
( ~ epred44_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_524]) ).
cnf(c_0_549,negated_conjecture,
( ~ epred31_0
| ~ epred44_0
| ~ epred50_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_493]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp2
| epred56_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_498]),c_0_107]),c_0_106]) ).
cnf(c_0_551,negated_conjecture,
( hskp2
| epred21_0
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_123]) ).
cnf(c_0_552,negated_conjecture,
( hskp2
| hskp7
| hskp24
| hskp26 ),
inference(spm,[status(thm)],[c_0_386,c_0_36]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp19
| hskp27
| epred20_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_554,negated_conjecture,
( ~ hskp11
| epred21_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_528]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp19
| epred1_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_529]) ).
cnf(c_0_556,negated_conjecture,
( hskp7
| hskp18
| hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_557,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp10
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_530]),c_0_8])]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp7
| epred1_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_531]) ).
cnf(c_0_559,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp3
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_560,negated_conjecture,
( hskp25
| epred2_0
| epred24_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_561,negated_conjecture,
( ~ epred14_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_534,c_0_479]),c_0_364]) ).
cnf(c_0_562,negated_conjecture,
( ~ epred18_0
| ~ epred52_0
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_535,c_0_536]) ).
cnf(c_0_563,negated_conjecture,
( epred14_0
| epred18_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_564,negated_conjecture,
( hskp23
| hskp25
| epred19_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp6
| hskp0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_541,c_0_449]) ).
cnf(c_0_566,negated_conjecture,
( hskp6
| epred6_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_542,c_0_450]) ).
cnf(c_0_567,negated_conjecture,
( ~ c3_1(a1211)
| ~ hskp4
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_506]),c_0_507]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp4
| c3_1(a1211)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_506]),c_0_507]) ).
cnf(c_0_569,negated_conjecture,
( ~ c3_1(a1267)
| ~ hskp24
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_453]),c_0_26]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp24
| c3_1(a1267)
| hskp5
| hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_26]),c_0_24]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp6
| epred1_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp6
| epred2_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_445]) ).
cnf(c_0_573,negated_conjecture,
( ~ epred36_0
| ~ epred44_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_574,negated_conjecture,
( ~ epred44_0
| epred36_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_575,negated_conjecture,
( ~ epred44_0
| ~ epred50_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_549,c_0_548]) ).
cnf(c_0_576,negated_conjecture,
( epred21_0
| epred38_0
| epred43_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_577,negated_conjecture,
( hskp2
| hskp7
| epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_264]) ).
cnf(c_0_578,negated_conjecture,
( hskp2
| hskp7
| hskp26
| epred16_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_552]) ).
cnf(c_0_579,negated_conjecture,
( ~ c0_1(a1216)
| ~ hskp7
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_25]),c_0_50]) ).
cnf(c_0_580,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp3
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp19
| epred4_0
| epred20_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_553]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp14
| epred51_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_219]),c_0_30]),c_0_28]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp11
| epred38_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_528]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp5
| epred21_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_554,c_0_176]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp18
| epred1_0
| epred14_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_555,c_0_319]) ).
cnf(c_0_586,negated_conjecture,
( hskp7
| hskp18
| epred14_0 ),
inference(spm,[status(thm)],[c_0_537,c_0_556]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp15
| epred38_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_255]) ).
fof(c_0_588,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp3
| epred55_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_358]),c_0_359]),c_0_466]) ).
fof(c_0_590,plain,
( ~ epred57_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_591,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp5
| hskp10
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_159]),c_0_160]),c_0_161]) ).
cnf(c_0_593,negated_conjecture,
( hskp6
| epred1_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_113]) ).
fof(c_0_594,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp3
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_595,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_596,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| hskp3 ),
inference(cn,[status(thm)],[c_0_559]) ).
cnf(c_0_597,negated_conjecture,
( epred2_0
| epred24_0
| epred41_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_560]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred18_0
| ~ epred19_0
| ~ epred52_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred19_0
| epred18_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_563]) ).
cnf(c_0_600,negated_conjecture,
( hskp25
| epred19_0
| epred25_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_564]) ).
cnf(c_0_601,negated_conjecture,
( epred6_0
| epred31_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_565]),c_0_566]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp4
| epred31_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_567,c_0_568]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp10
| hskp6
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_543,c_0_225]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp24
| hskp5
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_486]) ).
cnf(c_0_605,negated_conjecture,
( epred2_0
| epred21_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_445]),c_0_280]) ).
cnf(c_0_606,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c1_1(X3)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_607,negated_conjecture,
( epred1_0
| epred21_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_495]) ).
cnf(c_0_608,negated_conjecture,
( epred2_0
| epred21_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_572,c_0_495]) ).
cnf(c_0_609,negated_conjecture,
( ~ epred44_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_575]) ).
cnf(c_0_610,negated_conjecture,
( ~ epred44_0
| epred38_0
| epred43_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_576]) ).
cnf(c_0_611,negated_conjecture,
( epred1_0
| epred4_0
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_577]),c_0_558]) ).
cnf(c_0_612,negated_conjecture,
( hskp2
| hskp7
| epred2_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_578]) ).
cnf(c_0_613,negated_conjecture,
( ~ hskp7
| epred16_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_531]) ).
cnf(c_0_614,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp27
| c2_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_615,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c2_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[c_0_580]) ).
cnf(c_0_616,negated_conjecture,
( hskp2
| epred4_0
| epred20_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_581,c_0_264]) ).
cnf(c_0_617,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp28
| epred51_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_15]) ).
cnf(c_0_618,negated_conjecture,
( epred1_0
| epred16_0
| epred38_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_54]) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp5
| epred38_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_176]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp6
| epred38_0
| epred51_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_259]) ).
cnf(c_0_621,negated_conjecture,
( hskp6
| epred21_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_584,c_0_204]) ).
cnf(c_0_622,negated_conjecture,
( hskp7
| epred1_0
| epred14_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_623,negated_conjecture,
( ~ hskp5
| epred14_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_176]) ).
cnf(c_0_624,negated_conjecture,
( hskp5
| hskp6
| epred38_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_587,c_0_178]) ).
fof(c_0_625,plain,
( ~ epred48_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_626,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_588]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp6
| epred14_0
| epred38_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_259]) ).
cnf(c_0_628,negated_conjecture,
( hskp25
| epred24_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_589,c_0_533]) ).
cnf(c_0_629,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred57_0 ),
inference(split_equiv,[status(thm)],[c_0_590]) ).
cnf(c_0_630,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_631,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_591]) ).
cnf(c_0_632,negated_conjecture,
( hskp6
| hskp10
| epred28_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_592,c_0_209]) ).
cnf(c_0_633,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp4
| hskp15
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_634,negated_conjecture,
( epred1_0
| epred31_0
| epred42_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_593]) ).
cnf(c_0_635,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_502]),c_0_8])]) ).
cnf(c_0_636,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp3
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_594]),c_0_8])]) ).
cnf(c_0_637,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp9
| c1_1(a1219) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_639,negated_conjecture,
( ~ hskp9
| ~ c0_1(a1219) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_640,negated_conjecture,
( ~ hskp9
| c2_1(a1219) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_641,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp9
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_595]),c_0_8])]) ).
cnf(c_0_642,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_643,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_596,c_0_444]),c_0_343]) ).
cnf(c_0_644,negated_conjecture,
( ~ epred31_0
| epred24_0
| epred41_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_597]) ).
cnf(c_0_645,negated_conjecture,
( ~ epred19_0
| ~ epred52_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_136]) ).
cnf(c_0_646,negated_conjecture,
( epred19_0
| epred25_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_600]),c_0_136]) ).
cnf(c_0_647,negated_conjecture,
( ~ epred18_0
| ~ epred52_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_535,c_0_601]) ).
cnf(c_0_648,negated_conjecture,
( epred18_0
| epred31_0
| epred41_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_538]) ).
cnf(c_0_649,negated_conjecture,
( hskp6
| epred27_0
| epred31_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_603,c_0_296]) ).
cnf(c_0_650,negated_conjecture,
( ~ hskp24
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_604]) ).
cnf(c_0_651,negated_conjecture,
( ~ epred31_0
| ~ epred58_0
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_417,c_0_605]) ).
cnf(c_0_652,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_606]) ).
cnf(c_0_653,negated_conjecture,
( epred21_0
| epred27_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_607]),c_0_608]) ).
cnf(c_0_654,negated_conjecture,
( ~ epred43_0
| ~ epred44_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_609]) ).
cnf(c_0_655,negated_conjecture,
( ~ epred44_0
| epred43_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_610]) ).
cnf(c_0_656,negated_conjecture,
( epred21_0
| epred38_0
| epred43_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_551]) ).
cnf(c_0_657,negated_conjecture,
( ~ epred2_0
| epred4_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_611]) ).
cnf(c_0_658,negated_conjecture,
( epred2_0
| epred16_0
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_612]),c_0_613]) ).
cnf(c_0_659,negated_conjecture,
( hskp2
| epred4_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_264]) ).
cnf(c_0_660,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp27 ),
inference(cn,[status(thm)],[c_0_614]) ).
cnf(c_0_661,negated_conjecture,
( ~ epred4_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_615,c_0_594]),c_0_170]) ).
cnf(c_0_662,negated_conjecture,
( epred4_0
| epred20_0
| epred55_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_616]) ).
cnf(c_0_663,negated_conjecture,
( epred4_0
| epred21_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_460]) ).
cnf(c_0_664,negated_conjecture,
( epred12_0
| epred21_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_495]) ).
cnf(c_0_665,negated_conjecture,
( ~ hskp2
| hskp28
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_617]),c_0_107]) ).
cnf(c_0_666,negated_conjecture,
( epred16_0
| epred38_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_618]),c_0_75]) ).
cnf(c_0_667,negated_conjecture,
( epred38_0
| epred51_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_283]),c_0_620]) ).
cnf(c_0_668,negated_conjecture,
( epred21_0
| epred42_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_111]),c_0_621]) ).
cnf(c_0_669,negated_conjecture,
( epred1_0
| epred14_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_622]) ).
cnf(c_0_670,negated_conjecture,
( hskp6
| epred14_0
| epred38_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_623,c_0_624]) ).
cnf(c_0_671,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp1
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_625]),c_0_8])]) ).
cnf(c_0_672,negated_conjecture,
( ~ c0_1(a1223)
| ~ hskp10
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_626]),c_0_167]) ).
cnf(c_0_673,negated_conjecture,
( ~ c0_1(a1215)
| ~ hskp6
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_626]),c_0_88]) ).
fof(c_0_674,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp9
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_675,negated_conjecture,
( epred14_0
| epred38_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_283]),c_0_627]) ).
cnf(c_0_676,negated_conjecture,
( epred24_0
| epred41_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_628]) ).
cnf(c_0_677,negated_conjecture,
( ~ hskp27
| c0_1(a1213)
| epred57_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_60]),c_0_218]) ).
cnf(c_0_678,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_626]) ).
cnf(c_0_679,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_630]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp6
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_681,negated_conjecture,
( hskp6
| epred28_0
| epred39_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_632]) ).
cnf(c_0_682,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp4
| hskp15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_633,c_0_8])]) ).
cnf(c_0_683,negated_conjecture,
( ~ epred2_0
| epred31_0
| epred42_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_634]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp7
| c0_1(a1216)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_635]),c_0_50]) ).
cnf(c_0_685,negated_conjecture,
( hskp7
| hskp18
| epred31_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_556]) ).
cnf(c_0_686,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| hskp3
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_21]),c_0_20]) ).
cnf(c_0_687,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c0_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_637]) ).
cnf(c_0_688,negated_conjecture,
( ~ c3_1(a1219)
| ~ hskp9
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_638]),c_0_639]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp9
| c3_1(a1219)
| hskp10
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_640]),c_0_639]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp19
| c0_1(a1247)
| hskp9
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_215]),c_0_12]) ).
fof(c_0_691,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp5
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_692,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| hskp1 ),
inference(cn,[status(thm)],[c_0_642]) ).
cnf(c_0_693,negated_conjecture,
( ~ epred25_0
| ~ epred31_0
| epred41_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_643,c_0_644]) ).
cnf(c_0_694,negated_conjecture,
( ~ epred52_0
| epred25_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_695,negated_conjecture,
( ~ epred52_0
| epred31_0
| epred41_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_648]) ).
cnf(c_0_696,negated_conjecture,
( epred1_0
| epred27_0
| epred31_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_571,c_0_649]) ).
cnf(c_0_697,negated_conjecture,
( epred2_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_313]) ).
cnf(c_0_698,negated_conjecture,
( ~ epred31_0
| ~ epred44_0
| ~ epred58_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_651]) ).
cnf(c_0_699,negated_conjecture,
( ~ epred27_0
| ~ epred56_0
| ~ epred57_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_652,c_0_465]),c_0_430]),c_0_590]) ).
cnf(c_0_700,negated_conjecture,
( ~ epred44_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_653]) ).
cnf(c_0_701,negated_conjecture,
( ~ epred44_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_702,negated_conjecture,
( ~ epred44_0
| epred38_0
| epred43_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_656]) ).
cnf(c_0_703,negated_conjecture,
( epred4_0
| epred16_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_657,c_0_658]) ).
cnf(c_0_704,negated_conjecture,
( epred4_0
| epred54_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_659]) ).
cnf(c_0_705,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_660,c_0_463]),c_0_144]) ).
cnf(c_0_706,negated_conjecture,
( ~ epred45_0
| epred20_0
| epred55_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_662]) ).
cnf(c_0_707,negated_conjecture,
( ~ epred45_0
| epred21_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_663]) ).
cnf(c_0_708,negated_conjecture,
( ~ epred38_0
| epred21_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_664]),c_0_318]) ).
cnf(c_0_709,negated_conjecture,
( ~ hskp2
| epred38_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_665]) ).
cnf(c_0_710,negated_conjecture,
( ~ epred54_0
| epred38_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_666]),c_0_667]) ).
cnf(c_0_711,negated_conjecture,
( ~ epred44_0
| epred42_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_668]) ).
cnf(c_0_712,negated_conjecture,
( ~ epred2_0
| epred14_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_669]) ).
cnf(c_0_713,negated_conjecture,
( epred2_0
| epred14_0
| epred38_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_469,c_0_670]) ).
cnf(c_0_714,negated_conjecture,
( ~ c2_1(a1214)
| ~ hskp28
| hskp1
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_19]),c_0_21]) ).
cnf(c_0_715,negated_conjecture,
( ~ hskp10
| hskp11
| epred29_0 ),
inference(spm,[status(thm)],[c_0_672,c_0_181]) ).
cnf(c_0_716,negated_conjecture,
( ~ hskp6
| hskp11
| epred29_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_185]) ).
cnf(c_0_717,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| hskp10
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_19]),c_0_20]) ).
cnf(c_0_718,negated_conjecture,
( ~ c0_1(a1247)
| ~ hskp19
| hskp10
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_215]),c_0_14]) ).
cnf(c_0_719,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp9
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_674]),c_0_8])]) ).
cnf(c_0_720,negated_conjecture,
( ~ hskp9
| c3_1(a1219)
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_640]),c_0_639]) ).
cnf(c_0_721,negated_conjecture,
( ~ epred19_0
| epred38_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_675]) ).
cnf(c_0_722,negated_conjecture,
( ~ epred25_0
| epred41_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_643,c_0_676]) ).
cnf(c_0_723,negated_conjecture,
( ~ hskp27
| epred38_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_677]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp26
| epred29_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_44]),c_0_43]) ).
cnf(c_0_725,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| epred1_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_13]) ).
cnf(c_0_726,negated_conjecture,
( ~ c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_727,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_728,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp5
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_729,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_730,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp9
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_731,negated_conjecture,
( ~ epred23_0
| ~ epred38_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_679,c_0_502]),c_0_591]),c_0_11]) ).
cnf(c_0_732,negated_conjecture,
( epred23_0
| epred28_0
| epred39_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_680,c_0_681]) ).
cnf(c_0_733,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp4
| hskp15
| hskp28 ),
inference(spm,[status(thm)],[c_0_682,c_0_15]) ).
cnf(c_0_734,negated_conjecture,
( ~ c2_1(a1257)
| ~ hskp21
| hskp19
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_78]),c_0_76]) ).
cnf(c_0_735,negated_conjecture,
( ~ hskp21
| c2_1(a1257)
| hskp4
| hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_78]),c_0_76]) ).
cnf(c_0_736,negated_conjecture,
( epred16_0
| epred31_0
| epred42_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_683,c_0_330]) ).
cnf(c_0_737,negated_conjecture,
( ~ hskp6
| c0_1(a1215)
| hskp10
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_88]),c_0_89]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp7
| epred1_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_684]) ).
cnf(c_0_739,negated_conjecture,
( hskp7
| epred31_0
| epred44_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_685]) ).
cnf(c_0_740,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1)
| hskp1
| epred27_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_671,c_0_453]) ).
cnf(c_0_741,negated_conjecture,
( ~ hskp28
| hskp3
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_686]) ).
cnf(c_0_742,negated_conjecture,
( ~ hskp19
| hskp28
| epred55_0 ),
inference(spm,[status(thm)],[c_0_526,c_0_23]) ).
cnf(c_0_743,negated_conjecture,
( ~ epred1_0
| ~ epred12_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_687,c_0_7]),c_0_57]),c_0_46]) ).
cnf(c_0_744,negated_conjecture,
( ~ hskp25
| c1_1(a1204)
| hskp19
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_100]),c_0_101]) ).
cnf(c_0_745,negated_conjecture,
( ~ hskp9
| hskp10
| epred28_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_688,c_0_689]) ).
cnf(c_0_746,negated_conjecture,
( ~ hskp19
| hskp9
| epred1_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_690]) ).
cnf(c_0_747,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp5
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_691]),c_0_8])]) ).
cnf(c_0_748,negated_conjecture,
( ~ hskp0
| c3_1(a1205)
| hskp10
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_193]),c_0_191]) ).
cnf(c_0_749,negated_conjecture,
( ~ hskp1
| c1_1(a1206)
| hskp25
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_94]),c_0_96]) ).
cnf(c_0_750,negated_conjecture,
( ~ c3_1(a1211)
| ~ hskp4
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_506]),c_0_508]) ).
cnf(c_0_751,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1)
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_453]) ).
cnf(c_0_752,negated_conjecture,
( ~ epred41_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_692,c_0_625]),c_0_46]) ).
cnf(c_0_753,negated_conjecture,
( ~ epred52_0
| epred41_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_694]),c_0_695]) ).
cnf(c_0_754,negated_conjecture,
( epred27_0
| epred31_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_696]),c_0_697]) ).
cnf(c_0_755,negated_conjecture,
( ~ epred31_0
| ~ epred44_0
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_418])]) ).
cnf(c_0_756,negated_conjecture,
( ~ epred44_0
| ~ epred57_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_701]) ).
cnf(c_0_757,negated_conjecture,
( ~ epred44_0
| epred43_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_702]) ).
cnf(c_0_758,negated_conjecture,
( ~ epred45_0
| epred16_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_703]) ).
cnf(c_0_759,negated_conjecture,
( ~ epred45_0
| epred54_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_661,c_0_704]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred45_0
| epred55_0
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_707]) ).
cnf(c_0_761,negated_conjecture,
( ~ epred31_0
| epred16_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_658]) ).
cnf(c_0_762,negated_conjecture,
( ~ epred38_0
| ~ epred44_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_708]) ).
cnf(c_0_763,negated_conjecture,
( epred38_0
| epred43_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_323]),c_0_710]) ).
cnf(c_0_764,negated_conjecture,
( ~ epred43_0
| ~ epred44_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_711]) ).
cnf(c_0_765,negated_conjecture,
( epred14_0
| epred38_0
| epred44_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_712,c_0_713]) ).
cnf(c_0_766,negated_conjecture,
( ~ hskp28
| hskp1
| epred21_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_714,c_0_390]) ).
cnf(c_0_767,negated_conjecture,
( ~ hskp10
| epred29_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_715]) ).
cnf(c_0_768,negated_conjecture,
( ~ hskp6
| epred29_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_716]) ).
cnf(c_0_769,negated_conjecture,
( ~ hskp28
| hskp10
| epred2_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_717]) ).
cnf(c_0_770,negated_conjecture,
( ~ hskp19
| hskp10
| hskp28
| epred47_0 ),
inference(spm,[status(thm)],[c_0_718,c_0_23]) ).
cnf(c_0_771,negated_conjecture,
( epred1_0
| epred31_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_125]) ).
cnf(c_0_772,negated_conjecture,
( ~ hskp9
| hskp1
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_638]),c_0_640]),c_0_639]) ).
cnf(c_0_773,negated_conjecture,
( ~ hskp10
| hskp9
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_167]),c_0_201]),c_0_166]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp9
| hskp11
| epred43_0 ),
inference(spm,[status(thm)],[c_0_688,c_0_720]) ).
cnf(c_0_775,negated_conjecture,
( epred41_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_646]),c_0_722]),c_0_136]) ).
cnf(c_0_776,negated_conjecture,
( ~ hskp9
| epred57_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_638]),c_0_640]),c_0_639]) ).
cnf(c_0_777,negated_conjecture,
( hskp2
| hskp19
| epred38_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_723,c_0_109]) ).
cnf(c_0_778,negated_conjecture,
( ~ hskp4
| c3_1(a1211)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_506]),c_0_508]) ).
cnf(c_0_779,negated_conjecture,
( ~ hskp28
| c2_1(a1214)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_21]),c_0_20]) ).
cnf(c_0_780,negated_conjecture,
( ~ hskp1
| epred29_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_94]),c_0_95]) ).
cnf(c_0_781,negated_conjecture,
( hskp1
| hskp25
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_724,c_0_105]) ).
cnf(c_0_782,negated_conjecture,
( ~ hskp25
| epred29_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_102]),c_0_101]) ).
cnf(c_0_783,negated_conjecture,
( ~ hskp15
| epred1_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_163]),c_0_164]) ).
cnf(c_0_784,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_726]) ).
cnf(c_0_785,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| hskp9 ),
inference(cn,[status(thm)],[c_0_727]) ).
cnf(c_0_786,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| hskp5 ),
inference(cn,[status(thm)],[c_0_728]) ).
cnf(c_0_787,negated_conjecture,
( ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[c_0_729]) ).
cnf(c_0_788,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp9 ),
inference(cn,[status(thm)],[c_0_730]) ).
cnf(c_0_789,negated_conjecture,
( ~ epred38_0
| ~ epred52_0
| epred28_0
| epred39_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_790,negated_conjecture,
( ~ hskp2
| c2_1(a1207)
| c0_1(a1207)
| hskp4
| hskp15
| hskp28 ),
inference(spm,[status(thm)],[c_0_410,c_0_733]) ).
cnf(c_0_791,negated_conjecture,
( ~ hskp21
| hskp4
| hskp15
| hskp19
| epred44_0 ),
inference(spm,[status(thm)],[c_0_734,c_0_735]) ).
cnf(c_0_792,negated_conjecture,
( ~ epred54_0
| ~ epred55_0
| epred31_0
| epred42_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_736]) ).
cnf(c_0_793,negated_conjecture,
( ~ hskp6
| hskp10
| epred28_0
| hskp0
| hskp23 ),
inference(spm,[status(thm)],[c_0_408,c_0_737]) ).
cnf(c_0_794,negated_conjecture,
( epred31_0
| epred44_0
| epred54_0
| epred1_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_738,c_0_739]) ).
cnf(c_0_795,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1204)
| ~ c0_1(a1204)
| hskp1
| epred27_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_740,c_0_100]) ).
cnf(c_0_796,negated_conjecture,
( ~ hskp19
| hskp27
| epred20_0
| hskp10
| epred47_0 ),
inference(spm,[status(thm)],[c_0_718,c_0_527]) ).
cnf(c_0_797,negated_conjecture,
( ~ hskp19
| epred55_0
| hskp3
| epred2_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_741,c_0_742]) ).
cnf(c_0_798,negated_conjecture,
( ~ epred12_0
| ~ epred41_0
| epred14_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_743,c_0_669]) ).
cnf(c_0_799,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1204)
| ~ c3_1(a1204)
| hskp19
| epred44_0
| hskp1
| epred48_0 ),
inference(spm,[status(thm)],[c_0_671,c_0_744]) ).
cnf(c_0_800,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1204)
| ~ c0_1(a1204)
| hskp19
| epred44_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_744]) ).
cnf(c_0_801,negated_conjecture,
( ~ hskp19
| epred1_0
| epred40_0
| hskp10
| epred28_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_745,c_0_746]) ).
cnf(c_0_802,negated_conjecture,
( ~ hskp0
| hskp10
| epred28_0
| c0_1(a1205)
| c1_1(a1205)
| hskp5
| epred37_0 ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_803,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1205)
| hskp10
| epred28_0
| c1_1(a1205)
| hskp19
| epred44_0 ),
inference(spm,[status(thm)],[c_0_299,c_0_748]) ).
cnf(c_0_804,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1206)
| hskp25
| epred19_0
| c3_1(a1206)
| hskp11
| epred42_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_749]) ).
cnf(c_0_805,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1206)
| ~ c0_1(a1206)
| hskp25
| epred19_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_41,c_0_749]) ).
cnf(c_0_806,negated_conjecture,
( ~ hskp0
| hskp11
| c0_1(a1205)
| c1_1(a1205)
| hskp5
| epred37_0 ),
inference(spm,[status(thm)],[c_0_747,c_0_232]) ).
cnf(c_0_807,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1205)
| hskp11
| c1_1(a1205)
| hskp19
| epred44_0 ),
inference(spm,[status(thm)],[c_0_299,c_0_232]) ).
cnf(c_0_808,negated_conjecture,
( ~ hskp4
| c2_1(a1211)
| c0_1(a1211)
| epred52_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_750,c_0_635]) ).
cnf(c_0_809,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1204)
| ~ c0_1(a1204)
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_751,c_0_100]) ).
cnf(c_0_810,negated_conjecture,
( ~ epred48_0
| ~ epred52_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_752,c_0_753]) ).
cnf(c_0_811,negated_conjecture,
( ~ epred56_0
| ~ epred57_0
| epred31_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_699,c_0_754]) ).
cnf(c_0_812,negated_conjecture,
( ~ epred44_0
| ~ epred57_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_654]) ).
cnf(c_0_813,negated_conjecture,
( ~ epred44_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_757]) ).
cnf(c_0_814,negated_conjecture,
( ~ epred45_0
| epred56_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_758]),c_0_759]),c_0_760]) ).
cnf(c_0_815,negated_conjecture,
( ~ epred31_0
| ~ epred54_0
| ~ epred55_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_761]) ).
cnf(c_0_816,negated_conjecture,
( ~ epred38_0
| ~ epred44_0
| ~ epred50_0 ),
inference(spm,[status(thm)],[c_0_549,c_0_762]) ).
cnf(c_0_817,negated_conjecture,
( ~ epred44_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_763]),c_0_764]) ).
cnf(c_0_818,negated_conjecture,
( ~ epred19_0
| epred38_0
| epred44_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_561,c_0_765]) ).
cnf(c_0_819,negated_conjecture,
( ~ hskp26
| hskp0
| hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_42]),c_0_43]),c_0_44]) ).
cnf(c_0_820,negated_conjecture,
( epred31_0
| epred42_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_294]) ).
cnf(c_0_821,negated_conjecture,
( ~ hskp23
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_635]),c_0_278]),c_0_277]) ).
cnf(c_0_822,negated_conjecture,
( ~ hskp27
| hskp1
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_60]),c_0_218]),c_0_61]) ).
cnf(c_0_823,negated_conjecture,
( ~ hskp19
| hskp1
| epred21_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_766,c_0_415]) ).
cnf(c_0_824,negated_conjecture,
( epred29_0
| epred31_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_296]),c_0_768]) ).
cnf(c_0_825,negated_conjecture,
( ~ hskp19
| hskp10
| epred2_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_769,c_0_770]) ).
cnf(c_0_826,negated_conjecture,
( ~ epred2_0
| epred31_0
| epred38_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_771]) ).
cnf(c_0_827,negated_conjecture,
( ~ hskp10
| hskp1
| epred26_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_773]) ).
cnf(c_0_828,negated_conjecture,
( ~ hskp6
| hskp10
| epred2_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_737]) ).
cnf(c_0_829,negated_conjecture,
( ~ hskp10
| hskp11
| epred26_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_774,c_0_773]) ).
cnf(c_0_830,negated_conjecture,
( ~ epred48_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_752,c_0_775]) ).
cnf(c_0_831,negated_conjecture,
( ~ hskp10
| epred26_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_776,c_0_773]) ).
cnf(c_0_832,negated_conjecture,
( hskp2
| epred21_0
| epred38_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_525,c_0_777]) ).
cnf(c_0_833,negated_conjecture,
( ~ hskp4
| epred3_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_750,c_0_778]) ).
cnf(c_0_834,negated_conjecture,
( ~ hskp1
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_626]),c_0_95]),c_0_94]) ).
cnf(c_0_835,negated_conjecture,
( ~ hskp28
| epred2_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_779]) ).
cnf(c_0_836,negated_conjecture,
( epred29_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_782]) ).
cnf(c_0_837,negated_conjecture,
( hskp5
| hskp6
| epred1_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_783,c_0_178]) ).
cnf(c_0_838,negated_conjecture,
( ~ epred3_0
| ~ epred50_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_784,c_0_187]),c_0_369]),c_0_464]) ).
cnf(c_0_839,negated_conjecture,
( ~ epred40_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_785,c_0_595]),c_0_46]) ).
cnf(c_0_840,negated_conjecture,
( ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_786,c_0_691]),c_0_11]) ).
cnf(c_0_841,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_787,c_0_530]),c_0_588]) ).
cnf(c_0_842,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_788,c_0_674]),c_0_430]) ).
cnf(c_0_843,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_797,c_0_798,c_0_799,c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_810,c_0_753,c_0_811,c_0_812,c_0_754,c_0_813,c_0_654,c_0_814,c_0_815,c_0_816,c_0_438,c_0_817,c_0_818,c_0_819,c_0_246,c_0_820,c_0_587,c_0_306,c_0_821,c_0_822,c_0_823,c_0_824,c_0_632,c_0_825,c_0_826,c_0_827,c_0_828,c_0_592,c_0_829,c_0_830,c_0_775,c_0_831,c_0_832,c_0_32,c_0_448,c_0_428,c_0_350,c_0_275,c_0_589,c_0_833,c_0_136,c_0_117,c_0_56,c_0_31,c_0_252,c_0_834,c_0_680,c_0_177,c_0_835,c_0_118,c_0_55,c_0_836,c_0_837,c_0_128,c_0_731,c_0_699,c_0_307,c_0_838,c_0_752,c_0_146,c_0_309,c_0_153,c_0_839,c_0_250,c_0_840,c_0_248,c_0_841,c_0_842,c_0_705,c_0_561,c_0_73,c_0_508,c_0_507,c_0_106,c_0_107,c_0_96,c_0_190,c_0_191,c_0_100,c_0_102,c_0_94,c_0_101,c_0_95,c_0_193,c_0_105,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN477+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:03:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.67/4.47 % Version: 3.5.1
% 27.67/4.47 % Preprocessing class: FSLSSLSMSSSNFFN.
% 27.67/4.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 27.67/4.47 % Starting new_bool_3 with 300s (1) cores
% 27.67/4.47 % Starting new_bool_1 with 300s (1) cores
% 27.67/4.47 % Starting sh5l with 300s (1) cores
% 27.67/4.47 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3134290 completed with status 0
% 27.67/4.47 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 27.67/4.47 % Preprocessing class: FSLSSLSMSSSNFFN.
% 27.67/4.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 27.67/4.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 27.67/4.47 % No SInE strategy applied
% 27.67/4.47 % Search class: FGHNF-FSMM00-SFFFFFNN
% 27.67/4.47 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 27.67/4.47 % Starting SubtermCWHack with 151s (1) cores
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 27.67/4.47 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 27.67/4.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 27.67/4.47 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 3134296 completed with status 0
% 27.67/4.47 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 27.67/4.47 % Preprocessing class: FSLSSLSMSSSNFFN.
% 27.67/4.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 27.67/4.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 27.67/4.47 % No SInE strategy applied
% 27.67/4.47 % Search class: FGHNF-FSMM00-SFFFFFNN
% 27.67/4.47 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 27.67/4.47 % Starting SubtermCWHack with 151s (1) cores
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 27.67/4.47 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 27.67/4.47 % Preprocessing time : 0.001 s
% 27.67/4.47 % SatCheck found unsatisfiable ground set
% 27.67/4.47
% 27.67/4.47 % Proof found!
% 27.67/4.47 % SZS status Theorem
% 27.67/4.47 % SZS output start CNFRefutation
% See solution above
% 27.67/4.47 % Parsed axioms : 1
% 27.67/4.47 % Removed by relevancy pruning/SinE : 0
% 27.67/4.47 % Initial clauses : 188
% 27.67/4.47 % Removed in clause preprocessing : 0
% 27.67/4.47 % Initial clauses in saturation : 188
% 27.67/4.47 % Processed clauses : 18164
% 27.67/4.47 % ...of these trivial : 0
% 27.67/4.47 % ...subsumed : 8164
% 27.67/4.47 % ...remaining for further processing : 10000
% 27.67/4.47 % Other redundant clauses eliminated : 0
% 27.67/4.47 % Clauses deleted for lack of memory : 0
% 27.67/4.47 % Backward-subsumed : 4321
% 27.67/4.47 % Backward-rewritten : 290
% 27.67/4.47 % Generated clauses : 197387
% 27.67/4.47 % ...of the previous two non-redundant : 185925
% 27.67/4.47 % ...aggressively subsumed : 0
% 27.67/4.47 % Contextual simplify-reflections : 1149
% 27.67/4.47 % Paramodulations : 197288
% 27.67/4.47 % Factorizations : 0
% 27.67/4.47 % NegExts : 0
% 27.67/4.47 % Equation resolutions : 0
% 27.67/4.47 % Disequality decompositions : 0
% 27.67/4.47 % Total rewrite steps : 325
% 27.67/4.47 % ...of those cached : 323
% 27.67/4.47 % Propositional unsat checks : 2
% 27.67/4.47 % Propositional check models : 1
% 27.67/4.47 % Propositional check unsatisfiable : 1
% 27.67/4.47 % Propositional clauses : 169319
% 27.67/4.47 % Propositional clauses after purity: 167543
% 27.67/4.47 % Propositional unsat core size : 107
% 27.67/4.47 % Propositional preprocessing time : 0.000
% 27.67/4.47 % Propositional encoding time : 0.062
% 27.67/4.47 % Propositional solver time : 0.263
% 27.67/4.47 % Success case prop preproc time : 0.000
% 27.67/4.47 % Success case prop encoding time : 0.042
% 27.67/4.47 % Success case prop solver time : 0.177
% 27.67/4.47 % Current number of processed clauses : 5349
% 27.67/4.47 % Positive orientable unit clauses : 2
% 27.67/4.47 % Positive unorientable unit clauses: 0
% 27.67/4.47 % Negative unit clauses : 0
% 27.67/4.47 % Non-unit-clauses : 5347
% 27.67/4.47 % Current number of unprocessed clauses: 163970
% 27.67/4.47 % ...number of literals in the above : 1013797
% 27.67/4.47 % Current number of archived formulas : 0
% 27.67/4.47 % Current number of archived clauses : 4611
% 27.67/4.47 % Clause-clause subsumption calls (NU) : 17372566
% 27.67/4.47 % Rec. Clause-clause subsumption calls : 2641467
% 27.67/4.47 % Non-unit clause-clause subsumptions : 13697
% 27.67/4.47 % Unit Clause-clause subsumption calls : 5053
% 27.67/4.47 % Rewrite failures with RHS unbound : 0
% 27.67/4.47 % BW rewrite match attempts : 2
% 27.67/4.47 % BW rewrite match successes : 2
% 27.67/4.47 % Condensation attempts : 18164
% 27.67/4.47 % Condensation successes : 0
% 27.67/4.47 % Termbank termtop insertions : 1718131
% 27.67/4.47 % Search garbage collected termcells : 1972
% 27.67/4.47
% 27.67/4.47 % -------------------------------------------------
% 27.67/4.47 % User time : 3.842 s
% 27.67/4.47 % System time : 0.096 s
% 27.67/4.47 % Total time : 3.938 s
% 27.67/4.47 % Maximum resident set size: 4428 pages
% 27.67/4.47
% 27.67/4.47 % -------------------------------------------------
% 27.67/4.47 % User time : 19.482 s
% 27.67/4.47 % System time : 0.437 s
% 27.67/4.47 % Total time : 19.919 s
% 27.67/4.47 % Maximum resident set size: 5376 pages
% 27.67/4.47 % E exiting
%------------------------------------------------------------------------------