%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN488+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 : n017.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 03:25:05 PM UTC 2026
% Result : Theorem 29.32s 4.42s
% Output : CNFRefutation 29.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 50
% Syntax : Number of formulae : 665 ( 2 unt; 0 def)
% Number of atoms : 5782 ( 0 equ)
% Maximal formula atoms : 818 ( 8 avg)
% Number of connectives : 7556 (2439 ~;3920 |; 812 &)
% ( 49 <=>; 336 =>; 0 <=; 0 <~>)
% Maximal formula depth : 318 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 87 ( 86 usr; 83 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 749 ( 0 sgn 497 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp7
| hskp9
| hskp8 )
& ( hskp25
| hskp19
| hskp5 )
& ( hskp18
| hskp5
| hskp3 )
& ( hskp11
| hskp8
| hskp26 )
& ( hskp19
| hskp26
| hskp30 )
& ( hskp27
| hskp25
| hskp31 )
& ( hskp11
| hskp15
| ! [X112] :
( ndr1_0
=> ( ~ c3_1(X112)
| ~ c2_1(X112)
| ~ c1_1(X112) ) ) )
& ( hskp0
| hskp21
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c1_1(X111) ) ) )
& ( hskp18
| hskp20
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c2_1(X110)
| ~ c0_1(X110) ) ) )
& ( hskp23
| hskp14
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| ~ c0_1(X109) ) ) )
& ( hskp24
| hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c2_1(X108)
| ~ c1_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp23
| hskp6
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c1_1(X107)
| c3_1(X107) ) ) )
& ( hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) )
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp26
| hskp6
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| ~ c0_1(X104)
| c3_1(X104) ) ) )
& ( hskp10
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) ) )
& ( hskp30
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c3_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c1_1(X100)
| c2_1(X100) ) ) )
& ( hskp7
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp25
| hskp19
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp1
| hskp5
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp1
| hskp6
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp2
| hskp30
| ! [X95] :
( ndr1_0
=> ( ~ c1_1(X95)
| c3_1(X95)
| c2_1(X95) ) ) )
& ( hskp19
| hskp5
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp24
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c2_1(X93)
| c1_1(X93) ) ) )
& ( hskp11
| hskp21
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| c3_1(X90)
| c2_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp12
| hskp16
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp9
| hskp0
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp2
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) ) )
& ( hskp16
| hskp10
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp23
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp1
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp22
| hskp5
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp21
| hskp30
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) ) )
& ( hskp10
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp15
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp9
| hskp28
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp21
| hskp6
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp2
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c2_1(X61)
| c0_1(X61) ) ) )
& ( hskp20
| hskp7
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ) ) )
& ( hskp9
| hskp1
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp17
| hskp21
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| c0_1(X58) ) ) )
& ( hskp7
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c0_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c1_1(X55)
| c2_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp11
| hskp12
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ) ) )
& ( hskp19
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp4
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| c2_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp12
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp2
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c0_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp18
| hskp17
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp13
| hskp16
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp0
| hskp29
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp15
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c1_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp1
| hskp14
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp1
| hskp13
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c1_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp6
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp9
| hskp8
| ! [X24] :
( ndr1_0
=> ( ~ c2_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( hskp7
| hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c2_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp29
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp4
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c1_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp28
| hskp3
| ! [X16] :
( ndr1_0
=> ( c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp2
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c3_1(X12)
| c2_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| ~ c1_1(X10)
| c2_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c2_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c0_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a2498)
& c1_1(a2498)
& c0_1(a2498)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a2450)
& c1_1(a2450)
& c0_1(a2450)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a2409)
& c2_1(a2409)
& c0_1(a2409)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a2406)
& c2_1(a2406)
& c1_1(a2406)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a2500)
& ~ c1_1(a2500)
& ~ c0_1(a2500)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a2484)
& c1_1(a2484)
& c0_1(a2484)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a2478)
& ~ c0_1(a2478)
& c2_1(a2478)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a2468)
& ~ c0_1(a2468)
& c1_1(a2468)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a2455)
& c3_1(a2455)
& c2_1(a2455)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a2453)
& ~ c1_1(a2453)
& ~ c0_1(a2453)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a2437)
& c2_1(a2437)
& c0_1(a2437)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a2435)
& ~ c0_1(a2435)
& c3_1(a2435)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c0_1(a2432)
& c3_1(a2432)
& c1_1(a2432)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a2428)
& ~ c2_1(a2428)
& ~ c0_1(a2428)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a2427)
& c3_1(a2427)
& c2_1(a2427)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a2425)
& ~ c2_1(a2425)
& c0_1(a2425)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a2422)
& c3_1(a2422)
& c1_1(a2422)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a2420)
& c2_1(a2420)
& c1_1(a2420)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a2418)
& c2_1(a2418)
& c1_1(a2418)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a2417)
& ~ c0_1(a2417)
& c3_1(a2417)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a2416)
& ~ c1_1(a2416)
& c3_1(a2416)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a2414)
& ~ c1_1(a2414)
& c0_1(a2414)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a2413)
& ~ c0_1(a2413)
& c2_1(a2413)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a2412)
& ~ c0_1(a2412)
& c1_1(a2412)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a2411)
& ~ c1_1(a2411)
& c2_1(a2411)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a2410)
& c1_1(a2410)
& c0_1(a2410)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a2408)
& c3_1(a2408)
& c0_1(a2408)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a2407)
& ~ c1_1(a2407)
& c0_1(a2407)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a2405)
& c2_1(a2405)
& c0_1(a2405)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a2404)
& ~ c2_1(a2404)
& ~ c1_1(a2404)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a2403)
& ~ c2_1(a2403)
& c1_1(a2403)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2402)
& c3_1(a2402)
& c0_1(a2402)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp7
| hskp9
| hskp8 )
& ( hskp25
| hskp19
| hskp5 )
& ( hskp18
| hskp5
| hskp3 )
& ( hskp11
| hskp8
| hskp26 )
& ( hskp19
| hskp26
| hskp30 )
& ( hskp27
| hskp25
| hskp31 )
& ( hskp11
| hskp15
| ! [X112] :
( ndr1_0
=> ( ~ c3_1(X112)
| ~ c2_1(X112)
| ~ c1_1(X112) ) ) )
& ( hskp0
| hskp21
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c1_1(X111) ) ) )
& ( hskp18
| hskp20
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c2_1(X110)
| ~ c0_1(X110) ) ) )
& ( hskp23
| hskp14
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| ~ c0_1(X109) ) ) )
& ( hskp24
| hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c2_1(X108)
| ~ c1_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp23
| hskp6
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c1_1(X107)
| c3_1(X107) ) ) )
& ( hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) )
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp26
| hskp6
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| ~ c0_1(X104)
| c3_1(X104) ) ) )
& ( hskp10
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) ) )
& ( hskp30
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c3_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c1_1(X100)
| c2_1(X100) ) ) )
& ( hskp7
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp25
| hskp19
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp1
| hskp5
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp1
| hskp6
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp2
| hskp30
| ! [X95] :
( ndr1_0
=> ( ~ c1_1(X95)
| c3_1(X95)
| c2_1(X95) ) ) )
& ( hskp19
| hskp5
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp24
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c2_1(X93)
| c1_1(X93) ) ) )
& ( hskp11
| hskp21
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| c3_1(X90)
| c2_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp12
| hskp16
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp9
| hskp0
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp2
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) ) )
& ( hskp16
| hskp10
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp23
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp1
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp22
| hskp5
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp21
| hskp30
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) ) )
& ( hskp10
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp15
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp9
| hskp28
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp21
| hskp6
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp2
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c2_1(X61)
| c0_1(X61) ) ) )
& ( hskp20
| hskp7
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ) ) )
& ( hskp9
| hskp1
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp17
| hskp21
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| c0_1(X58) ) ) )
& ( hskp7
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c0_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c1_1(X55)
| c2_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp11
| hskp12
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ) ) )
& ( hskp19
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp4
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| c2_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp12
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp2
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c0_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp18
| hskp17
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp13
| hskp16
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp0
| hskp29
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp15
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c1_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp1
| hskp14
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp1
| hskp13
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c1_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp6
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp9
| hskp8
| ! [X24] :
( ndr1_0
=> ( ~ c2_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( hskp7
| hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c2_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp29
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp4
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c1_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp28
| hskp3
| ! [X16] :
( ndr1_0
=> ( c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp2
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c3_1(X12)
| c2_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| ~ c1_1(X10)
| c2_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c2_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c0_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a2498)
& c1_1(a2498)
& c0_1(a2498)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a2450)
& c1_1(a2450)
& c0_1(a2450)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a2409)
& c2_1(a2409)
& c0_1(a2409)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a2406)
& c2_1(a2406)
& c1_1(a2406)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a2500)
& ~ c1_1(a2500)
& ~ c0_1(a2500)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a2484)
& c1_1(a2484)
& c0_1(a2484)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a2478)
& ~ c0_1(a2478)
& c2_1(a2478)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a2468)
& ~ c0_1(a2468)
& c1_1(a2468)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a2455)
& c3_1(a2455)
& c2_1(a2455)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a2453)
& ~ c1_1(a2453)
& ~ c0_1(a2453)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a2437)
& c2_1(a2437)
& c0_1(a2437)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a2435)
& ~ c0_1(a2435)
& c3_1(a2435)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c0_1(a2432)
& c3_1(a2432)
& c1_1(a2432)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a2428)
& ~ c2_1(a2428)
& ~ c0_1(a2428)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a2427)
& c3_1(a2427)
& c2_1(a2427)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a2425)
& ~ c2_1(a2425)
& c0_1(a2425)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a2422)
& c3_1(a2422)
& c1_1(a2422)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a2420)
& c2_1(a2420)
& c1_1(a2420)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a2418)
& c2_1(a2418)
& c1_1(a2418)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a2417)
& ~ c0_1(a2417)
& c3_1(a2417)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a2416)
& ~ c1_1(a2416)
& c3_1(a2416)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a2414)
& ~ c1_1(a2414)
& c0_1(a2414)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a2413)
& ~ c0_1(a2413)
& c2_1(a2413)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a2412)
& ~ c0_1(a2412)
& c1_1(a2412)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a2411)
& ~ c1_1(a2411)
& c2_1(a2411)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a2410)
& c1_1(a2410)
& c0_1(a2410)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a2408)
& c3_1(a2408)
& c0_1(a2408)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a2407)
& ~ c1_1(a2407)
& c0_1(a2407)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a2405)
& c2_1(a2405)
& c0_1(a2405)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a2404)
& ~ c2_1(a2404)
& ~ c1_1(a2404)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a2403)
& ~ c2_1(a2403)
& c1_1(a2403)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2402)
& c3_1(a2402)
& c0_1(a2402)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp7
| hskp9
| hskp8 )
& ( hskp25
| hskp19
| hskp5 )
& ( hskp18
| hskp5
| hskp3 )
& ( hskp11
| hskp8
| hskp26 )
& ( hskp19
| hskp26
| hskp30 )
& ( hskp27
| hskp25
| hskp31 )
& ( hskp11
| hskp15
| ! [X112] :
( ndr1_0
=> ( ~ c3_1(X112)
| ~ c2_1(X112)
| ~ c1_1(X112) ) ) )
& ( hskp0
| hskp21
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c1_1(X111) ) ) )
& ( hskp18
| hskp20
| ! [X110] :
( ndr1_0
=> ( ~ c3_1(X110)
| ~ c2_1(X110)
| ~ c0_1(X110) ) ) )
& ( hskp23
| hskp14
| ! [X109] :
( ndr1_0
=> ( ~ c3_1(X109)
| ~ c1_1(X109)
| ~ c0_1(X109) ) ) )
& ( hskp24
| hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c2_1(X108)
| ~ c1_1(X108)
| ~ c0_1(X108) ) ) )
& ( hskp23
| hskp6
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c1_1(X107)
| c3_1(X107) ) ) )
& ( hskp20
| ! [X106] :
( ndr1_0
=> ( ~ c2_1(X106)
| ~ c1_1(X106)
| ~ c0_1(X106) ) )
| ! [X105] :
( ndr1_0
=> ( ~ c2_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp26
| hskp6
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| ~ c0_1(X104)
| c3_1(X104) ) ) )
& ( hskp10
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c1_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) ) )
& ( hskp30
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c3_1(X101) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c1_1(X100)
| c2_1(X100) ) ) )
& ( hskp7
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp25
| hskp19
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp1
| hskp5
| ! [X97] :
( ndr1_0
=> ( ~ c1_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ) ) )
& ( hskp1
| hskp6
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp2
| hskp30
| ! [X95] :
( ndr1_0
=> ( ~ c1_1(X95)
| c3_1(X95)
| c2_1(X95) ) ) )
& ( hskp19
| hskp5
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp24
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c2_1(X93)
| c1_1(X93) ) ) )
& ( hskp11
| hskp21
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| c3_1(X90)
| c2_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| c1_1(X89) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c1_1(X86) ) ) )
& ( hskp12
| hskp16
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp9
| hskp0
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp2
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| ~ c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c3_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) ) )
& ( hskp16
| hskp10
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp23
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp1
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp22
| hskp5
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp21
| hskp30
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c2_1(X68)
| c1_1(X68) ) ) )
& ( hskp10
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp15
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ) )
& ( hskp9
| hskp28
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp21
| hskp6
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp2
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c2_1(X61)
| c0_1(X61) ) ) )
& ( hskp20
| hskp7
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ) ) )
& ( hskp9
| hskp1
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp17
| hskp21
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c1_1(X58)
| c0_1(X58) ) ) )
& ( hskp7
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c0_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ) ) )
& ( hskp20
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c1_1(X55)
| c2_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| c0_1(X54) ) ) )
& ( hskp11
| hskp12
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ) ) )
& ( hskp19
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp4
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| c2_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp12
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| ~ c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp2
| ! [X46] :
( ndr1_0
=> ( ~ c2_1(X46)
| ~ c0_1(X46)
| c3_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp18
| hskp17
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp13
| hskp16
| ! [X43] :
( ndr1_0
=> ( ~ c1_1(X43)
| c2_1(X43)
| c0_1(X43) ) ) )
& ( hskp0
| hskp29
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp15
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c1_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| c2_1(X38)
| c1_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp1
| hskp14
| ! [X36] :
( ndr1_0
=> ( c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp1
| hskp13
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c1_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| c1_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| hskp6
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c1_1(X30)
| c0_1(X30) ) ) )
& ( hskp10
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| ~ c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| c1_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c2_1(X27)
| ~ c1_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp9
| hskp8
| ! [X24] :
( ndr1_0
=> ( ~ c2_1(X24)
| c1_1(X24)
| c0_1(X24) ) ) )
& ( hskp7
| hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c2_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp29
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| c1_1(X19)
| c0_1(X19) ) ) )
& ( hskp4
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| ~ c1_1(X18)
| c0_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp28
| hskp3
| ! [X16] :
( ndr1_0
=> ( c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp2
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c1_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c3_1(X12)
| c2_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| ~ c1_1(X10)
| c2_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c2_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp1
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp0
| ! [X5] :
( ndr1_0
=> ( ~ c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c0_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a2498)
& c1_1(a2498)
& c0_1(a2498)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a2450)
& c1_1(a2450)
& c0_1(a2450)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a2409)
& c2_1(a2409)
& c0_1(a2409)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a2406)
& c2_1(a2406)
& c1_1(a2406)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a2500)
& ~ c1_1(a2500)
& ~ c0_1(a2500)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a2484)
& c1_1(a2484)
& c0_1(a2484)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a2478)
& ~ c0_1(a2478)
& c2_1(a2478)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a2468)
& ~ c0_1(a2468)
& c1_1(a2468)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a2455)
& c3_1(a2455)
& c2_1(a2455)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a2453)
& ~ c1_1(a2453)
& ~ c0_1(a2453)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a2437)
& c2_1(a2437)
& c0_1(a2437)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a2435)
& ~ c0_1(a2435)
& c3_1(a2435)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c0_1(a2432)
& c3_1(a2432)
& c1_1(a2432)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a2428)
& ~ c2_1(a2428)
& ~ c0_1(a2428)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c1_1(a2427)
& c3_1(a2427)
& c2_1(a2427)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a2425)
& ~ c2_1(a2425)
& c0_1(a2425)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a2422)
& c3_1(a2422)
& c1_1(a2422)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a2420)
& c2_1(a2420)
& c1_1(a2420)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a2418)
& c2_1(a2418)
& c1_1(a2418)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a2417)
& ~ c0_1(a2417)
& c3_1(a2417)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a2416)
& ~ c1_1(a2416)
& c3_1(a2416)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a2414)
& ~ c1_1(a2414)
& c0_1(a2414)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a2413)
& ~ c0_1(a2413)
& c2_1(a2413)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a2412)
& ~ c0_1(a2412)
& c1_1(a2412)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a2411)
& ~ c1_1(a2411)
& c2_1(a2411)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a2410)
& c1_1(a2410)
& c0_1(a2410)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a2408)
& c3_1(a2408)
& c0_1(a2408)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a2407)
& ~ c1_1(a2407)
& c0_1(a2407)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a2405)
& c2_1(a2405)
& c0_1(a2405)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a2404)
& ~ c2_1(a2404)
& ~ c1_1(a2404)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a2403)
& ~ c2_1(a2403)
& c1_1(a2403)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a2402)
& c3_1(a2402)
& c0_1(a2402)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [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,X219,X220,X221,X222,X223,X224] :
( ( hskp7
| hskp9
| hskp8 )
& ( hskp25
| hskp19
| hskp5 )
& ( hskp18
| hskp5
| hskp3 )
& ( hskp11
| hskp8
| hskp26 )
& ( hskp19
| hskp26
| hskp30 )
& ( hskp27
| hskp25
| hskp31 )
& ( hskp11
| hskp15
| ~ c3_1(X224)
| ~ c2_1(X224)
| ~ c1_1(X224)
| ~ ndr1_0 )
& ( hskp0
| hskp21
| ~ c3_1(X223)
| ~ c2_1(X223)
| ~ c1_1(X223)
| ~ ndr1_0 )
& ( hskp18
| hskp20
| ~ c3_1(X222)
| ~ c2_1(X222)
| ~ c0_1(X222)
| ~ ndr1_0 )
& ( hskp23
| hskp14
| ~ c3_1(X221)
| ~ c1_1(X221)
| ~ c0_1(X221)
| ~ ndr1_0 )
& ( hskp24
| hskp3
| ~ c2_1(X220)
| ~ c1_1(X220)
| ~ c0_1(X220)
| ~ ndr1_0 )
& ( hskp23
| hskp6
| ~ c2_1(X219)
| ~ c1_1(X219)
| c3_1(X219)
| ~ ndr1_0 )
& ( hskp20
| ~ c2_1(X218)
| ~ c1_1(X218)
| ~ c0_1(X218)
| ~ ndr1_0
| ~ c2_1(X217)
| ~ c0_1(X217)
| c3_1(X217)
| ~ ndr1_0 )
& ( hskp26
| hskp6
| ~ c1_1(X216)
| ~ c0_1(X216)
| c3_1(X216)
| ~ ndr1_0 )
& ( hskp10
| ~ c3_1(X215)
| ~ c2_1(X215)
| ~ c1_1(X215)
| ~ ndr1_0
| ~ c1_1(X214)
| ~ c0_1(X214)
| c3_1(X214)
| ~ ndr1_0 )
& ( hskp30
| ~ c1_1(X213)
| ~ c0_1(X213)
| c3_1(X213)
| ~ ndr1_0
| ~ c3_1(X212)
| ~ c1_1(X212)
| c2_1(X212)
| ~ ndr1_0 )
& ( hskp7
| hskp25
| ~ c1_1(X211)
| ~ c0_1(X211)
| c2_1(X211)
| ~ ndr1_0 )
& ( hskp25
| hskp19
| ~ c1_1(X210)
| ~ c0_1(X210)
| c2_1(X210)
| ~ ndr1_0 )
& ( hskp1
| hskp5
| ~ c1_1(X209)
| ~ c0_1(X209)
| c2_1(X209)
| ~ ndr1_0 )
& ( hskp1
| hskp6
| ~ c1_1(X208)
| c3_1(X208)
| c2_1(X208)
| ~ ndr1_0 )
& ( hskp2
| hskp30
| ~ c1_1(X207)
| c3_1(X207)
| c2_1(X207)
| ~ ndr1_0 )
& ( hskp19
| hskp5
| ~ c0_1(X206)
| c3_1(X206)
| c2_1(X206)
| ~ ndr1_0 )
& ( hskp24
| hskp15
| ~ c3_1(X205)
| ~ c2_1(X205)
| c1_1(X205)
| ~ ndr1_0 )
& ( hskp11
| hskp21
| ~ c3_1(X204)
| ~ c2_1(X204)
| c1_1(X204)
| ~ ndr1_0 )
& ( ~ c3_1(X203)
| ~ c1_1(X203)
| ~ c0_1(X203)
| ~ ndr1_0
| ~ c0_1(X202)
| c3_1(X202)
| c2_1(X202)
| ~ ndr1_0
| ~ c3_1(X201)
| ~ c2_1(X201)
| c1_1(X201)
| ~ ndr1_0 )
& ( ~ c3_1(X200)
| ~ c2_1(X200)
| ~ c0_1(X200)
| ~ ndr1_0
| ~ c1_1(X199)
| c3_1(X199)
| c2_1(X199)
| ~ ndr1_0
| ~ c2_1(X198)
| ~ c0_1(X198)
| c1_1(X198)
| ~ ndr1_0 )
& ( hskp12
| hskp16
| ~ c2_1(X197)
| c3_1(X197)
| c1_1(X197)
| ~ ndr1_0 )
& ( hskp9
| hskp0
| ~ c2_1(X196)
| c3_1(X196)
| c1_1(X196)
| ~ ndr1_0 )
& ( hskp14
| ~ c1_1(X195)
| ~ c0_1(X195)
| c3_1(X195)
| ~ ndr1_0
| ~ c2_1(X194)
| c3_1(X194)
| c1_1(X194)
| ~ ndr1_0 )
& ( hskp2
| ~ c1_1(X193)
| ~ c0_1(X193)
| c2_1(X193)
| ~ ndr1_0
| ~ c2_1(X192)
| c3_1(X192)
| c1_1(X192)
| ~ ndr1_0 )
& ( hskp3
| ~ c2_1(X191)
| ~ c0_1(X191)
| c1_1(X191)
| ~ ndr1_0
| ~ c2_1(X190)
| c3_1(X190)
| c1_1(X190)
| ~ ndr1_0 )
& ( ~ c3_1(X189)
| ~ c2_1(X189)
| ~ c1_1(X189)
| ~ ndr1_0
| ~ c1_1(X188)
| ~ c0_1(X188)
| c3_1(X188)
| ~ ndr1_0
| ~ c0_1(X187)
| c3_1(X187)
| c1_1(X187)
| ~ ndr1_0 )
& ( hskp16
| hskp10
| ~ c3_1(X186)
| c2_1(X186)
| c1_1(X186)
| ~ ndr1_0 )
& ( hskp23
| ~ c1_1(X185)
| c3_1(X185)
| c2_1(X185)
| ~ ndr1_0
| ~ c3_1(X184)
| c2_1(X184)
| c1_1(X184)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X183)
| ~ c2_1(X183)
| c1_1(X183)
| ~ ndr1_0
| ~ c3_1(X182)
| c2_1(X182)
| c1_1(X182)
| ~ ndr1_0 )
& ( hskp22
| hskp5
| ~ c0_1(X181)
| c2_1(X181)
| c1_1(X181)
| ~ ndr1_0 )
& ( hskp21
| hskp30
| ~ c0_1(X180)
| c2_1(X180)
| c1_1(X180)
| ~ ndr1_0 )
& ( hskp10
| ~ c0_1(X179)
| c3_1(X179)
| c1_1(X179)
| ~ ndr1_0
| ~ c0_1(X178)
| c2_1(X178)
| c1_1(X178)
| ~ ndr1_0 )
& ( hskp15
| ~ c3_1(X177)
| ~ c2_1(X177)
| c0_1(X177)
| ~ ndr1_0 )
& ( hskp9
| hskp28
| ~ c3_1(X176)
| ~ c2_1(X176)
| c0_1(X176)
| ~ ndr1_0 )
& ( hskp21
| hskp6
| ~ c3_1(X175)
| ~ c2_1(X175)
| c0_1(X175)
| ~ ndr1_0 )
& ( hskp2
| ~ c3_1(X174)
| ~ c2_1(X174)
| c1_1(X174)
| ~ ndr1_0
| ~ c3_1(X173)
| ~ c2_1(X173)
| c0_1(X173)
| ~ ndr1_0 )
& ( hskp20
| hskp7
| ~ c3_1(X172)
| ~ c1_1(X172)
| c0_1(X172)
| ~ ndr1_0 )
& ( hskp9
| hskp1
| ~ c3_1(X171)
| ~ c1_1(X171)
| c0_1(X171)
| ~ ndr1_0 )
& ( hskp17
| hskp21
| ~ c3_1(X170)
| ~ c1_1(X170)
| c0_1(X170)
| ~ ndr1_0 )
& ( hskp7
| ~ c2_1(X169)
| ~ c0_1(X169)
| c3_1(X169)
| ~ ndr1_0
| ~ c3_1(X168)
| ~ c1_1(X168)
| c0_1(X168)
| ~ ndr1_0 )
& ( hskp20
| ~ c3_1(X167)
| ~ c1_1(X167)
| c2_1(X167)
| ~ ndr1_0
| ~ c3_1(X166)
| ~ c1_1(X166)
| c0_1(X166)
| ~ ndr1_0 )
& ( hskp11
| hskp12
| ~ c2_1(X165)
| ~ c1_1(X165)
| c0_1(X165)
| ~ ndr1_0 )
& ( hskp19
| ~ c0_1(X164)
| c3_1(X164)
| c1_1(X164)
| ~ ndr1_0
| ~ c2_1(X163)
| ~ c1_1(X163)
| c0_1(X163)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X162)
| c2_1(X162)
| c1_1(X162)
| ~ ndr1_0
| ~ c1_1(X161)
| c3_1(X161)
| c0_1(X161)
| ~ ndr1_0 )
& ( hskp12
| ~ c3_1(X160)
| ~ c1_1(X160)
| ~ c0_1(X160)
| ~ ndr1_0
| ~ c3_1(X159)
| c2_1(X159)
| c0_1(X159)
| ~ ndr1_0 )
& ( hskp2
| ~ c2_1(X158)
| ~ c0_1(X158)
| c3_1(X158)
| ~ ndr1_0
| ~ c3_1(X157)
| c2_1(X157)
| c0_1(X157)
| ~ ndr1_0 )
& ( hskp18
| hskp17
| ~ c1_1(X156)
| c2_1(X156)
| c0_1(X156)
| ~ ndr1_0 )
& ( hskp13
| hskp16
| ~ c1_1(X155)
| c2_1(X155)
| c0_1(X155)
| ~ ndr1_0 )
& ( hskp0
| hskp29
| ~ c1_1(X154)
| c2_1(X154)
| c0_1(X154)
| ~ ndr1_0 )
& ( hskp15
| ~ c2_1(X153)
| ~ c1_1(X153)
| ~ c0_1(X153)
| ~ ndr1_0
| ~ c1_1(X152)
| c2_1(X152)
| c0_1(X152)
| ~ ndr1_0 )
& ( ~ c1_1(X151)
| ~ c0_1(X151)
| c2_1(X151)
| ~ ndr1_0
| ~ c0_1(X150)
| c2_1(X150)
| c1_1(X150)
| ~ ndr1_0
| ~ c1_1(X149)
| c2_1(X149)
| c0_1(X149)
| ~ ndr1_0 )
& ( hskp1
| hskp14
| c3_1(X148)
| c2_1(X148)
| c0_1(X148)
| ~ ndr1_0 )
& ( hskp1
| hskp13
| c3_1(X147)
| c2_1(X147)
| c0_1(X147)
| ~ ndr1_0 )
& ( ~ c3_1(X146)
| ~ c1_1(X146)
| c2_1(X146)
| ~ ndr1_0
| ~ c2_1(X145)
| ~ c1_1(X145)
| c0_1(X145)
| ~ ndr1_0
| c3_1(X144)
| c2_1(X144)
| c0_1(X144)
| ~ ndr1_0 )
& ( hskp12
| ~ c3_1(X143)
| c1_1(X143)
| c0_1(X143)
| ~ ndr1_0 )
& ( hskp11
| hskp6
| ~ c3_1(X142)
| c1_1(X142)
| c0_1(X142)
| ~ ndr1_0 )
& ( hskp10
| ~ c3_1(X141)
| ~ c2_1(X141)
| c1_1(X141)
| ~ ndr1_0
| ~ c3_1(X140)
| c1_1(X140)
| c0_1(X140)
| ~ ndr1_0 )
& ( ~ c3_1(X139)
| ~ c2_1(X139)
| ~ c1_1(X139)
| ~ ndr1_0
| c3_1(X138)
| c2_1(X138)
| c0_1(X138)
| ~ ndr1_0
| ~ c3_1(X137)
| c1_1(X137)
| c0_1(X137)
| ~ ndr1_0 )
& ( hskp9
| hskp8
| ~ c2_1(X136)
| c1_1(X136)
| c0_1(X136)
| ~ ndr1_0 )
& ( hskp7
| hskp6
| ~ c2_1(X135)
| c1_1(X135)
| c0_1(X135)
| ~ ndr1_0 )
& ( hskp29
| ~ c3_1(X134)
| ~ c0_1(X134)
| c1_1(X134)
| ~ ndr1_0
| ~ c2_1(X133)
| c1_1(X133)
| c0_1(X133)
| ~ ndr1_0 )
& ( hskp5
| ~ c3_1(X132)
| ~ c2_1(X132)
| c0_1(X132)
| ~ ndr1_0
| ~ c2_1(X131)
| c1_1(X131)
| c0_1(X131)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X130)
| ~ c1_1(X130)
| c0_1(X130)
| ~ ndr1_0
| ~ c2_1(X129)
| c1_1(X129)
| c0_1(X129)
| ~ ndr1_0 )
& ( hskp28
| hskp3
| c3_1(X128)
| c1_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp2
| ~ c2_1(X127)
| ~ c1_1(X127)
| ~ c0_1(X127)
| ~ ndr1_0
| c3_1(X126)
| c1_1(X126)
| c0_1(X126)
| ~ ndr1_0 )
& ( ~ c3_1(X125)
| ~ c1_1(X125)
| c2_1(X125)
| ~ ndr1_0
| ~ c1_1(X124)
| c3_1(X124)
| c2_1(X124)
| ~ ndr1_0
| c2_1(X123)
| c1_1(X123)
| c0_1(X123)
| ~ ndr1_0 )
& ( ~ c3_1(X122)
| ~ c1_1(X122)
| c2_1(X122)
| ~ ndr1_0
| ~ c0_1(X121)
| c3_1(X121)
| c2_1(X121)
| ~ ndr1_0
| c2_1(X120)
| c1_1(X120)
| c0_1(X120)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X119)
| ~ c2_1(X119)
| c1_1(X119)
| ~ ndr1_0
| c2_1(X118)
| c1_1(X118)
| c0_1(X118)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X117)
| c1_1(X117)
| c0_1(X117)
| ~ ndr1_0
| c2_1(X116)
| c1_1(X116)
| c0_1(X116)
| ~ ndr1_0 )
& ( ~ c2_1(X115)
| ~ c0_1(X115)
| c1_1(X115)
| ~ ndr1_0
| ~ c2_1(X114)
| c1_1(X114)
| c0_1(X114)
| ~ ndr1_0
| c2_1(X113)
| c1_1(X113)
| c0_1(X113)
| ~ ndr1_0 )
& ( ~ hskp31
| c2_1(a2498) )
& ( ~ hskp31
| c1_1(a2498) )
& ( ~ hskp31
| c0_1(a2498) )
& ( ~ hskp31
| ndr1_0 )
& ( ~ hskp30
| c3_1(a2450) )
& ( ~ hskp30
| c1_1(a2450) )
& ( ~ hskp30
| c0_1(a2450) )
& ( ~ hskp30
| ndr1_0 )
& ( ~ hskp29
| c3_1(a2409) )
& ( ~ hskp29
| c2_1(a2409) )
& ( ~ hskp29
| c0_1(a2409) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c3_1(a2406) )
& ( ~ hskp28
| c2_1(a2406) )
& ( ~ hskp28
| c1_1(a2406) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| ~ c3_1(a2500) )
& ( ~ hskp27
| ~ c1_1(a2500) )
& ( ~ hskp27
| ~ c0_1(a2500) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| ~ c3_1(a2484) )
& ( ~ hskp26
| c1_1(a2484) )
& ( ~ hskp26
| c0_1(a2484) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c3_1(a2478) )
& ( ~ hskp25
| ~ c0_1(a2478) )
& ( ~ hskp25
| c2_1(a2478) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c3_1(a2468) )
& ( ~ hskp24
| ~ c0_1(a2468) )
& ( ~ hskp24
| c1_1(a2468) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c0_1(a2455) )
& ( ~ hskp23
| c3_1(a2455) )
& ( ~ hskp23
| c2_1(a2455) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c2_1(a2453) )
& ( ~ hskp22
| ~ c1_1(a2453) )
& ( ~ hskp22
| ~ c0_1(a2453) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c1_1(a2437) )
& ( ~ hskp21
| c2_1(a2437) )
& ( ~ hskp21
| c0_1(a2437) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c2_1(a2435) )
& ( ~ hskp20
| ~ c0_1(a2435) )
& ( ~ hskp20
| c3_1(a2435) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c0_1(a2432) )
& ( ~ hskp19
| c3_1(a2432) )
& ( ~ hskp19
| c1_1(a2432) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c3_1(a2428) )
& ( ~ hskp18
| ~ c2_1(a2428) )
& ( ~ hskp18
| ~ c0_1(a2428) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c1_1(a2427) )
& ( ~ hskp17
| c3_1(a2427) )
& ( ~ hskp17
| c2_1(a2427) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c3_1(a2425) )
& ( ~ hskp16
| ~ c2_1(a2425) )
& ( ~ hskp16
| c0_1(a2425) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c2_1(a2422) )
& ( ~ hskp15
| c3_1(a2422) )
& ( ~ hskp15
| c1_1(a2422) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c3_1(a2420) )
& ( ~ hskp14
| c2_1(a2420) )
& ( ~ hskp14
| c1_1(a2420) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c0_1(a2418) )
& ( ~ hskp13
| c2_1(a2418) )
& ( ~ hskp13
| c1_1(a2418) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c1_1(a2417) )
& ( ~ hskp12
| ~ c0_1(a2417) )
& ( ~ hskp12
| c3_1(a2417) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c2_1(a2416) )
& ( ~ hskp11
| ~ c1_1(a2416) )
& ( ~ hskp11
| c3_1(a2416) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c3_1(a2414) )
& ( ~ hskp10
| ~ c1_1(a2414) )
& ( ~ hskp10
| c0_1(a2414) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c1_1(a2413) )
& ( ~ hskp9
| ~ c0_1(a2413) )
& ( ~ hskp9
| c2_1(a2413) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c2_1(a2412) )
& ( ~ hskp8
| ~ c0_1(a2412) )
& ( ~ hskp8
| c1_1(a2412) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c3_1(a2411) )
& ( ~ hskp7
| ~ c1_1(a2411) )
& ( ~ hskp7
| c2_1(a2411) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c2_1(a2410) )
& ( ~ hskp6
| c1_1(a2410) )
& ( ~ hskp6
| c0_1(a2410) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c2_1(a2408) )
& ( ~ hskp5
| c3_1(a2408) )
& ( ~ hskp5
| c0_1(a2408) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c2_1(a2407) )
& ( ~ hskp4
| ~ c1_1(a2407) )
& ( ~ hskp4
| c0_1(a2407) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a2405) )
& ( ~ hskp3
| c2_1(a2405) )
& ( ~ hskp3
| c0_1(a2405) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c3_1(a2404) )
& ( ~ hskp2
| ~ c2_1(a2404) )
& ( ~ hskp2
| ~ c1_1(a2404) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c3_1(a2403) )
& ( ~ hskp1
| ~ c2_1(a2403) )
& ( ~ hskp1
| c1_1(a2403) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c1_1(a2402) )
& ( ~ hskp0
| c3_1(a2402) )
& ( ~ hskp0
| c0_1(a2402) )
& ( ~ 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,
( ~ hskp18
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( hskp18
| hskp5
| hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_10,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_11,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ hskp25
| ~ c0_1(a2478) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( ~ hskp25
| c2_1(a2478) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp14
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_11])]) ).
cnf(c_0_17,negated_conjecture,
( ~ hskp25
| ~ c3_1(a2478) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_18,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ~ epred44_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_20,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp23
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_21,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp15
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| epred15_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( ~ hskp14
| c2_1(a2420) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( ~ hskp14
| c1_1(a2420) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ c1_1(a2478)
| ~ hskp25
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| hskp14
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_17]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp26
| c0_1(a2484) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ hskp26
| c1_1(a2484) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_29,negated_conjecture,
( ~ hskp26
| ~ c3_1(a2484) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_30,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp5
| c3_1(a2408) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( ~ hskp5
| ~ c2_1(a2408) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_34,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp23
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_20]),c_0_11])]) ).
cnf(c_0_35,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]) ).
cnf(c_0_36,negated_conjecture,
( ~ hskp19
| c3_1(a2432) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2432) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_38,negated_conjecture,
( ~ hskp19
| c1_1(a2432) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp15
| c3_1(a2422) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,negated_conjecture,
( ~ hskp15
| c1_1(a2422) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2422) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,negated_conjecture,
( ~ hskp14
| epred15_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_43,negated_conjecture,
( ~ hskp25
| hskp14
| epred25_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_44,negated_conjecture,
( ~ hskp30
| c0_1(a2450) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
( ~ hskp30
| c1_1(a2450) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_46,negated_conjecture,
( ~ hskp30
| c3_1(a2450) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
( ~ c2_1(a2484)
| ~ hskp26
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_27]),c_0_28]) ).
cnf(c_0_48,negated_conjecture,
( ~ hskp26
| c2_1(a2484)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).
fof(c_0_49,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_50,negated_conjecture,
( ~ hskp23
| c3_1(a2455) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,negated_conjecture,
( ~ hskp23
| c2_1(a2455) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2455) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_53,negated_conjecture,
( ~ c1_1(a2408)
| ~ hskp5
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_54,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| hskp23
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_33]) ).
cnf(c_0_55,negated_conjecture,
( ~ c2_1(a2432)
| ~ hskp19
| hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_56,negated_conjecture,
( ~ hskp19
| c2_1(a2432)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_38]) ).
cnf(c_0_57,negated_conjecture,
( ~ hskp15
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_58,negated_conjecture,
( ~ hskp25
| epred15_0
| epred25_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_59,negated_conjecture,
( hskp25
| hskp19
| hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( ~ c2_1(a2450)
| ~ hskp30
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_44]),c_0_45]) ).
cnf(c_0_61,negated_conjecture,
( ~ hskp30
| c2_1(a2450)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_45]) ).
cnf(c_0_62,negated_conjecture,
( ~ hskp26
| epred10_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_63,negated_conjecture,
( hskp19
| hskp26
| hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_64,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
fof(c_0_65,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| hskp30
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_66,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_67,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| hskp20
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_68,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_69,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_70,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| hskp5
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_71,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp12
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_72,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp2
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_73,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_74,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp23
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_75,negated_conjecture,
( ~ hskp23
| hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_76,negated_conjecture,
( ~ hskp5
| hskp23
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_77,negated_conjecture,
( ~ hskp19
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_78,negated_conjecture,
( hskp5
| hskp19
| epred15_0
| epred25_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_79,negated_conjecture,
( ~ hskp30
| epred15_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_80,negated_conjecture,
( hskp19
| hskp30
| epred10_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_81,negated_conjecture,
( ~ hskp26
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_64]),c_0_27]),c_0_28]) ).
cnf(c_0_82,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp30
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_65]),c_0_11])]) ).
cnf(c_0_83,negated_conjecture,
( ~ hskp20
| c3_1(a2435) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_84,negated_conjecture,
( ~ hskp20
| ~ c2_1(a2435) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2435) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_86,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_66]),c_0_11])]) ).
fof(c_0_87,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp20
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_88,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp20
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_67]),c_0_11])]) ).
cnf(c_0_89,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2404) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_90,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_68]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2404) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_92,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_69]),c_0_11])]) ).
cnf(c_0_93,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2453) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_94,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2453) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp22
| ~ c2_1(a2453) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_96,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp5
| hskp22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_11])]) ).
fof(c_0_97,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_98,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp12
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_99,negated_conjecture,
( ~ ndr1_0
| hskp28
| hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_100,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_101,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_102,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp12
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_71]),c_0_11])]) ).
cnf(c_0_103,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp2
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_72]),c_0_11])]) ).
cnf(c_0_104,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_73]),c_0_11])]) ).
fof(c_0_105,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| hskp2
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_106,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_107,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp29
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_108,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_109,plain,
( ~ epred19_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_110,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp20
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_111,negated_conjecture,
( ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c1_1(X1)
| c3_1(X2)
| hskp23 ),
inference(cn,[status(thm)],[c_0_74]) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp5
| epred9_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_57]) ).
cnf(c_0_113,negated_conjecture,
( hskp5
| epred15_0
| epred25_0
| epred28_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_114,negated_conjecture,
( hskp19
| epred10_0
| epred15_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_115,negated_conjecture,
( hskp19
| hskp30
| epred26_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_63]) ).
fof(c_0_116,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp5
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| c2_1(X1)
| hskp1
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_118,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_119,negated_conjecture,
( ~ c1_1(a2435)
| ~ hskp20
| hskp30
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp20
| c1_1(a2435)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_84]) ).
cnf(c_0_121,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp20
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_87]),c_0_11])]) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp3
| c2_1(a2405) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_123,negated_conjecture,
( ~ hskp3
| c0_1(a2405) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2405) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_125,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_126,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| hskp20
| epred10_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_30]) ).
cnf(c_0_127,negated_conjecture,
( ~ c0_1(a2404)
| ~ hskp2
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_128,negated_conjecture,
( ~ hskp2
| c0_1(a2404)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_92]),c_0_91]) ).
fof(c_0_129,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp19
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp22
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_86]),c_0_94]),c_0_95]) ).
cnf(c_0_131,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp5
| hskp22
| epred41_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_86]) ).
fof(c_0_132,plain,
( ~ epred47_0
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_133,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_97]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp28
| c3_1(a2406) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp28
| c1_1(a2406) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp28
| c2_1(a2406) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_137,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_11])]) ).
cnf(c_0_138,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp3
| hskp28 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_11])]) ).
fof(c_0_139,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_140,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp24
| hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_142,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp23
| hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_143,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_100]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp12
| c3_1(a2417) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2417) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp12
| ~ c0_1(a2417) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_147,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_101]) ).
fof(c_0_148,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp10
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp20
| hskp12
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_83]),c_0_85]),c_0_84]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp15
| hskp20
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp19
| c2_1(a2432)
| hskp12
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_36]),c_0_37]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp20
| hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_83]),c_0_85]),c_0_84]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp19
| c2_1(a2432)
| hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_36]),c_0_37]) ).
cnf(c_0_154,negated_conjecture,
( ~ c1_1(a2435)
| ~ hskp20
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_104]),c_0_84]) ).
cnf(c_0_155,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| hskp2
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_11])]) ).
cnf(c_0_156,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_106]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp29
| c3_1(a2409) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp29
| c0_1(a2409) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp29
| c2_1(a2409) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_160,plain,
( ~ epred52_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp29
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_107]),c_0_11])]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp0
| c3_1(a2402) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2402) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_164,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp10
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_108]),c_0_11])]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp0
| c0_1(a2402) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_166,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_109]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp5
| c0_1(a2408) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_168,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_169,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| hskp20 ),
inference(cn,[status(thm)],[c_0_110]) ).
cnf(c_0_170,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_111,c_0_20]),c_0_18]) ).
cnf(c_0_171,negated_conjecture,
( epred9_0
| epred15_0
| epred25_0
| epred28_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_172,negated_conjecture,
( epred10_0
| epred15_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_114]) ).
cnf(c_0_173,negated_conjecture,
( hskp19
| epred15_0
| epred26_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_115]) ).
cnf(c_0_174,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp5
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_11])]) ).
fof(c_0_175,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp2
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp11
| c3_1(a2416) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2416) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2416) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp10
| c0_1(a2414) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2414) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2414) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_182,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp1
| c2_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_11])]) ).
cnf(c_0_183,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_118]) ).
fof(c_0_184,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp20
| hskp30
| epred37_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp3
| hskp20
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_187,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp3
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_11])]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp7
| c2_1(a2411) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2411) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp7
| ~ c1_1(a2411) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2420) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp30
| c2_1(a2450)
| hskp20
| epred10_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_45]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp2
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_194,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp2
| epred12_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_92]) ).
cnf(c_0_195,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp16
| hskp10
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_196,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp19
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_11])]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp4
| c0_1(a2407) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp4
| ~ c1_1(a2407) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_199,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp13
| hskp16
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2428) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2428) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_202,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp18
| hskp17
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp9
| c2_1(a2413) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2413) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp21
| c2_1(a2437) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp21
| ~ c1_1(a2437) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_207,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp2
| hskp30
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_208,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp5
| epred41_0 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp17
| c3_1(a2427) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2427) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_211,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_132]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp28
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_213,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp12
| hskp28 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_214,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_139]) ).
fof(c_0_215,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2425) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_217,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_140]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp16
| c0_1(a2425) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_219,negated_conjecture,
( ~ ndr1_0
| hskp1
| hskp13
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_220,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp9
| hskp0
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_221,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp0
| hskp29
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_222,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp19
| hskp5
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_223,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp9
| hskp8
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_224,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp12
| hskp16
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_225,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| hskp30
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_226,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| hskp1
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_227,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp21
| hskp6
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_228,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp23
| hskp6
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_229,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp7
| hskp25
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_230,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp11
| hskp12
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_231,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp3
| hskp24 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_11])]) ).
cnf(c_0_232,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp14
| hskp23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_11])]) ).
cnf(c_0_233,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp17
| hskp21
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_234,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp25
| hskp19
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_235,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp18
| hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_236,plain,
( ~ epred51_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_237,plain,
( ~ epred50_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_238,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_239,negated_conjecture,
( ~ c2_1(a2417)
| ~ hskp12
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp12
| c2_1(a2417)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_86]),c_0_145]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp20
| c1_1(a2435)
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_83]),c_0_85]) ).
cnf(c_0_242,negated_conjecture,
( ~ c1_1(a2435)
| ~ hskp20
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_84]) ).
cnf(c_0_243,negated_conjecture,
( ~ c1_1(a2435)
| ~ hskp20
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_83]),c_0_85]) ).
cnf(c_0_244,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp10
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_11])]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp15
| hskp12
| epred33_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp19
| hskp12
| hskp15
| epred33_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_151]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp15
| hskp2
| epred12_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_152,c_0_150]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp19
| hskp2
| hskp15
| epred12_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_153]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2404) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_250,negated_conjecture,
( ~ c2_1(a2417)
| ~ hskp12
| hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_144]),c_0_146]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp20
| epred41_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_154,c_0_120]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2468) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp24
| c1_1(a2468) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_254,negated_conjecture,
( ~ hskp8
| ~ c0_1(a2412) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_255,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp12
| epred33_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_92]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp8
| ~ c2_1(a2412) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_257,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp7
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_258,negated_conjecture,
( ~ c1_1(a2455)
| ~ hskp23
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_13]),c_0_51]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp23
| c1_1(a2455)
| hskp2
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_50]),c_0_51]) ).
cnf(c_0_260,negated_conjecture,
( ~ c2_1(a2417)
| ~ hskp12
| hskp2
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_144]),c_0_145]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp12
| c2_1(a2417)
| hskp23
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_144]),c_0_145]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp24
| ~ c3_1(a2468) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_263,negated_conjecture,
( ~ c1_1(a2409)
| ~ hskp29
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp29
| c1_1(a2409)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_157]),c_0_159]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2413) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_266,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_160]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp17
| c2_1(a2427) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_268,negated_conjecture,
( ~ c1_1(a2455)
| ~ hskp23
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_50]),c_0_52]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp23
| c1_1(a2455)
| hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_51]),c_0_52]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_15]),c_0_14]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2402)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_162]),c_0_163]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp0
| c2_1(a2402)
| hskp10
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_163]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2402)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_165]),c_0_163]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| hskp10
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_167]),c_0_33]) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2425) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_276,negated_conjecture,
( ~ c1_1(a2405)
| ~ hskp3
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_123]),c_0_122]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp3
| c1_1(a2405)
| hskp14
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_122]),c_0_124]) ).
cnf(c_0_278,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| hskp14 ),
inference(cn,[status(thm)],[c_0_168]) ).
cnf(c_0_279,negated_conjecture,
( ~ epred15_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_169,c_0_87]),c_0_8]) ).
cnf(c_0_280,negated_conjecture,
( epred15_0
| epred25_0
| epred28_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_281,negated_conjecture,
( epred15_0
| epred26_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_173]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| hskp5
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_15]),c_0_14]) ).
cnf(c_0_283,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp2
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_11])]) ).
fof(c_0_284,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp1
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp23
| c1_1(a2455)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_50]),c_0_51]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp11
| hskp23
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_176]),c_0_177]),c_0_178]) ).
cnf(c_0_287,negated_conjecture,
( ~ c2_1(a2414)
| ~ hskp10
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_179]),c_0_180]) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp10
| c2_1(a2414)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_90]),c_0_179]) ).
cnf(c_0_289,negated_conjecture,
( ~ hskp12
| hskp1
| c2_1(a2417)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_182]),c_0_145]) ).
fof(c_0_290,plain,
( ~ epred48_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_291,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| hskp4
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_183]),c_0_15]) ).
fof(c_0_293,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_294,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_295,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_296,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_11])]) ).
fof(c_0_297,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_298,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| epred26_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_64]) ).
cnf(c_0_300,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_301,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_302,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_303,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_304,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_305,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| 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_306,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_307,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_308,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c1_1(X3)
| c1_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_309,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_310,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp30
| c3_1(X2)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_311,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_312,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp12
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_313,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp7
| c3_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_314,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp2
| c1_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_315,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp29
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_316,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp19
| c3_1(X2)
| c1_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_317,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp10
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_318,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp5
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_319,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_320,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp2
| c2_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_321,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp2
| c3_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_322,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp1
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_323,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_324,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp4
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_325,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp1
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_326,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp0
| c1_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_327,negated_conjecture,
( ~ hskp3
| hskp30
| epred37_0
| epred40_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp7
| hskp3
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_329,negated_conjecture,
( ~ c0_1(a2420)
| ~ hskp14
| hskp20
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_23]),c_0_191]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp30
| hskp20
| epred10_0
| epred15_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_192]) ).
cnf(c_0_331,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred12_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp7
| c0_1(a2411)
| hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_188]),c_0_190]) ).
cnf(c_0_333,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp10
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_11])]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp4
| c3_1(a2407)
| hskp19
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).
cnf(c_0_335,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp13
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_11])]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp18
| c1_1(a2428)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_86]),c_0_201]) ).
cnf(c_0_337,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp17
| hskp18 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_11])]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp9
| c3_1(a2413)
| hskp3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_203]),c_0_204]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp21
| c3_1(a2437)
| hskp3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_205]),c_0_206]) ).
cnf(c_0_340,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp2
| hskp30 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_11])]) ).
cnf(c_0_341,negated_conjecture,
( ~ hskp18
| c1_1(a2428)
| hskp5
| epred41_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_208]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp11
| c0_1(a2416)
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_176]),c_0_177]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp17
| c0_1(a2427)
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_209]),c_0_210]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp10
| c2_1(a2414)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_179]),c_0_180]) ).
cnf(c_0_345,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp3
| hskp12
| epred39_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_346,negated_conjecture,
( ~ c2_1(a2417)
| ~ hskp12
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_144]),c_0_146]) ).
cnf(c_0_347,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp10
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_215]),c_0_11])]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp16
| c1_1(a2425)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).
cnf(c_0_349,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp1
| c2_1(X1)
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_11])]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp18
| ~ c3_1(a2428) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_351,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c3_1(X1)
| c1_1(X1)
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_11])]) ).
cnf(c_0_352,negated_conjecture,
( ~ c1_1(X1)
| hskp0
| c0_1(X1)
| c2_1(X1)
| hskp29 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_11])]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp1
| c1_1(a2403) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_354,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp5
| hskp19 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_11])]) ).
cnf(c_0_355,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp8
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_11])]) ).
cnf(c_0_356,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp12
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_11])]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp8
| c1_1(a2412) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp21
| hskp30 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_11])]) ).
cnf(c_0_359,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| hskp1
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_11])]) ).
cnf(c_0_360,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp6
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_11])]) ).
cnf(c_0_361,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp6
| hskp23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_11])]) ).
cnf(c_0_362,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp7
| hskp25 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_11])]) ).
cnf(c_0_363,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp11
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_11])]) ).
cnf(c_0_364,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp3
| hskp24
| epred28_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_13]) ).
cnf(c_0_365,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp14
| hskp23
| epred26_0 ),
inference(spm,[status(thm)],[c_0_232,c_0_64]) ).
cnf(c_0_366,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| hskp17
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_11])]) ).
cnf(c_0_367,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp19
| hskp25 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_11])]) ).
cnf(c_0_368,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_11])]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2403) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_370,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_11])]) ).
cnf(c_0_371,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_11])]) ).
cnf(c_0_372,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_238]),c_0_11])]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp12
| epred4_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp3
| hskp12
| epred33_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_186]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp20
| hskp12
| hskp30
| epred37_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_241]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp20
| hskp12
| epred44_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_241]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp20
| hskp12
| epred21_0 ),
inference(spm,[status(thm)],[c_0_243,c_0_241]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp12
| hskp10
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_144]),c_0_146]),c_0_145]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp19
| hskp12
| epred33_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp19
| hskp2
| epred12_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp2
| hskp5
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_208]),c_0_249]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp15
| hskp30
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp12
| hskp15
| epred41_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_240]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp15
| epred36_0
| epred41_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_150]) ).
cnf(c_0_385,negated_conjecture,
( ~ c2_1(a2468)
| ~ hskp24
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_13]),c_0_253]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp24
| c2_1(a2468)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_104]),c_0_253]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp8
| hskp12
| epred33_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]) ).
cnf(c_0_388,negated_conjecture,
( hskp7
| hskp9
| hskp8 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_389,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp7
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_11])]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp23
| hskp2
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp12
| hskp2
| hskp23
| epred9_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp24
| c2_1(a2468)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_92]),c_0_252]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp29
| epred4_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp9
| hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_203]),c_0_265]),c_0_204]) ).
cnf(c_0_395,negated_conjecture,
( ~ c0_1(a2427)
| ~ hskp17
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_209]),c_0_267]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp17
| c0_1(a2427)
| hskp29
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_267]),c_0_210]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp29
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_157]),c_0_158]),c_0_159]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp23
| hskp29
| epred21_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp25
| hskp29
| epred28_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_270]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp3
| c1_1(a2405)
| hskp19
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_123]),c_0_124]) ).
cnf(c_0_401,negated_conjecture,
( ~ c1_1(a2405)
| ~ hskp3
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_64]),c_0_123]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp10
| hskp19
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_179]),c_0_181]),c_0_180]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp0
| hskp10
| epred4_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp0
| hskp10
| epred7_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_273,c_0_272]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp5
| hskp10
| epred7_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_274]) ).
cnf(c_0_406,negated_conjecture,
( ~ c1_1(a2425)
| ~ hskp16
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_30]),c_0_275]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp16
| c1_1(a2425)
| hskp19
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_218]),c_0_216]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp3
| hskp14
| epred15_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_409,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_278,c_0_10]),c_0_49]) ).
cnf(c_0_410,negated_conjecture,
( ~ epred40_0
| epred25_0
| epred28_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_411,negated_conjecture,
( ~ epred40_0
| epred26_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_281]) ).
cnf(c_0_412,negated_conjecture,
( ~ c1_1(a2455)
| ~ hskp23
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_50]),c_0_51]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp23
| c1_1(a2455)
| hskp5
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_51]),c_0_52]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp25
| hskp5
| epred22_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_282]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| hskp3
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_15]),c_0_17]) ).
cnf(c_0_416,negated_conjecture,
( ~ c1_1(a2425)
| ~ hskp16
| hskp2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_218]),c_0_275]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp16
| c1_1(a2425)
| hskp5
| epred41_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_208]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp12
| c2_1(a2417)
| hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_144]),c_0_146]) ).
cnf(c_0_419,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| hskp1
| c2_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_284]),c_0_11])]) ).
cnf(c_0_420,negated_conjecture,
( ~ c1_1(a2408)
| ~ hskp5
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_32]),c_0_167]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp23
| epred4_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_285]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp11
| hskp15
| epred9_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_286]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp12
| hskp15
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_261]),c_0_75]) ).
cnf(c_0_424,negated_conjecture,
( ~ hskp23
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp10
| epred19_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2407) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp23
| c1_1(a2455)
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_50]),c_0_52]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp12
| hskp1
| hskp15
| epred3_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_289]) ).
cnf(c_0_429,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred48_0 ),
inference(split_equiv,[status(thm)],[c_0_290]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp6
| c0_1(a2410) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp6
| c1_1(a2410) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2410) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_433,negated_conjecture,
( ~ c2_1(a2450)
| ~ hskp30
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_46]),c_0_45]) ).
cnf(c_0_434,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp4
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_291]),c_0_11])]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp25
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_292]) ).
cnf(c_0_436,negated_conjecture,
( ~ c1_1(a2409)
| ~ hskp29
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_157]),c_0_159]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp29
| c1_1(a2409)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_158]),c_0_159]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp30
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_46]),c_0_44]),c_0_45]) ).
cnf(c_0_439,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_293]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp13
| ~ c0_1(a2418) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp13
| c1_1(a2418) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp13
| c2_1(a2418) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp3
| c1_1(a2405)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_123]),c_0_122]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp21
| c0_1(a2437) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_445,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_294]) ).
cnf(c_0_446,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_295]) ).
cnf(c_0_447,negated_conjecture,
( ~ hskp12
| hskp0
| c2_1(a2417)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_296]),c_0_145]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2403) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_449,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_297]) ).
cnf(c_0_450,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_298]) ).
cnf(c_0_451,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| epred41_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_86]) ).
cnf(c_0_452,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| epred10_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp26
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_27]),c_0_28]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp30
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_44]),c_0_45]) ).
cnf(c_0_455,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c1_1(X2)
| ~ c3_1(X3)
| ~ c0_1(X1)
| ~ c0_1(X3)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| c3_1(X2) ),
inference(cn,[status(thm)],[c_0_300]) ).
cnf(c_0_456,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| c3_1(X2) ),
inference(cn,[status(thm)],[c_0_301]) ).
cnf(c_0_457,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| c3_1(X2) ),
inference(cn,[status(thm)],[c_0_302]) ).
cnf(c_0_458,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c2_1(X3)
| c1_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_303]) ).
cnf(c_0_459,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X3)
| c3_1(X1)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_304]) ).
cnf(c_0_460,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X3)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| c3_1(X2)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_305]) ).
cnf(c_0_461,negated_conjecture,
( ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c2_1(X3)
| c1_1(X1)
| c3_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_306]) ).
cnf(c_0_462,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c2_1(X3)
| c1_1(X1)
| c3_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_307]) ).
cnf(c_0_463,negated_conjecture,
( ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_308]) ).
cnf(c_0_464,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[c_0_309]) ).
cnf(c_0_465,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X2)
| hskp30 ),
inference(cn,[status(thm)],[c_0_310]) ).
cnf(c_0_466,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X1)
| hskp20 ),
inference(cn,[status(thm)],[c_0_311]) ).
cnf(c_0_467,negated_conjecture,
( ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp12 ),
inference(cn,[status(thm)],[c_0_312]) ).
cnf(c_0_468,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X1)
| hskp7 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_469,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_470,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp29 ),
inference(cn,[status(thm)],[c_0_315]) ).
cnf(c_0_471,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X2)
| c0_1(X1)
| hskp19 ),
inference(cn,[status(thm)],[c_0_316]) ).
cnf(c_0_472,negated_conjecture,
( ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[c_0_317]) ).
cnf(c_0_473,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| hskp5 ),
inference(cn,[status(thm)],[c_0_318]) ).
cnf(c_0_474,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c3_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[c_0_319]) ).
cnf(c_0_475,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| c3_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[c_0_320]) ).
cnf(c_0_476,negated_conjecture,
( ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X2)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[c_0_321]) ).
cnf(c_0_477,negated_conjecture,
( ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp1 ),
inference(cn,[status(thm)],[c_0_322]) ).
cnf(c_0_478,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp10 ),
inference(cn,[status(thm)],[c_0_323]) ).
cnf(c_0_479,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1)
| hskp4 ),
inference(cn,[status(thm)],[c_0_324]) ).
cnf(c_0_480,negated_conjecture,
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_325]) ).
cnf(c_0_481,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| c0_1(X2)
| hskp0 ),
inference(cn,[status(thm)],[c_0_326]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp7
| epred18_0
| hskp30
| epred37_0
| epred40_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_483,negated_conjecture,
( ~ c1_1(a2420)
| ~ c2_1(a2420)
| ~ hskp14
| epred28_0
| hskp20
| epred40_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_13]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp30
| epred10_0
| epred15_0
| epred36_0
| hskp12
| epred33_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_330]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp2
| c2_1(a2404)
| epred12_0
| epred45_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_331]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2411)
| hskp29
| epred29_0
| c1_1(a2411)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_332]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp4
| hskp19
| epred27_0
| c1_1(a2407)
| c2_1(a2407)
| hskp10
| hskp16 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp12
| epred41_0
| c0_1(a2417)
| c1_1(a2417)
| hskp29
| epred29_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_240]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp18
| epred41_0
| c0_1(a2428)
| c2_1(a2428)
| hskp13
| hskp16 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp20
| epred41_0
| c0_1(a2435)
| c2_1(a2435)
| hskp17
| hskp18 ),
inference(spm,[status(thm)],[c_0_337,c_0_120]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp9
| hskp3
| epred18_0
| c0_1(a2413)
| c1_1(a2413)
| hskp12 ),
inference(spm,[status(thm)],[c_0_137,c_0_338]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2437)
| ~ c2_1(a2437)
| hskp3
| epred18_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_339]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2437)
| hskp3
| epred18_0
| c1_1(a2437)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_339]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp18
| hskp5
| epred41_0
| c3_1(a2428)
| c2_1(a2428)
| hskp2
| hskp30 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp12
| hskp23
| epred9_0
| c0_1(a2417)
| c1_1(a2417)
| hskp5
| epred22_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_261]) ).
cnf(c_0_496,negated_conjecture,
( ~ hskp11
| hskp12
| c1_1(a2416)
| c2_1(a2416)
| hskp10
| epred7_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_342]) ).
cnf(c_0_497,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2427)
| hskp12
| c1_1(a2427)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_343]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp10
| epred47_0
| c3_1(a2414)
| c1_1(a2414)
| hskp3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_344]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp2
| c1_1(a2404)
| hskp1
| c2_1(a2404)
| epred3_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_182]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp10
| epred43_0
| c3_1(a2414)
| c1_1(a2414)
| hskp3
| epred18_0 ),
inference(spm,[status(thm)],[c_0_187,c_0_288]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp25
| c1_1(a2478)
| hskp3
| hskp12
| epred39_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_345]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp12
| c1_1(a2417)
| hskp5
| hskp22
| epred41_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_131]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp16
| ~ c0_1(a2425)
| epred8_0
| c3_1(a2425)
| hskp10
| epred38_0 ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp2
| c0_1(a2404)
| hskp1
| c2_1(a2404)
| hskp13 ),
inference(spm,[status(thm)],[c_0_89,c_0_349]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp18
| c0_1(a2428)
| hskp1
| c2_1(a2428)
| hskp13 ),
inference(spm,[status(thm)],[c_0_350,c_0_349]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp18
| c0_1(a2428)
| c1_1(a2428)
| hskp3
| hskp28 ),
inference(spm,[status(thm)],[c_0_350,c_0_138]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp7
| hskp0
| c3_1(a2411)
| c1_1(a2411)
| hskp9 ),
inference(spm,[status(thm)],[c_0_351,c_0_188]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp1
| hskp0
| c0_1(a2403)
| c2_1(a2403)
| hskp29 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp16
| c3_1(a2425)
| c2_1(a2425)
| hskp5
| hskp19 ),
inference(spm,[status(thm)],[c_0_354,c_0_218]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp7
| c0_1(a2411)
| c1_1(a2411)
| hskp8
| hskp9 ),
inference(spm,[status(thm)],[c_0_355,c_0_188]) ).
cnf(c_0_511,negated_conjecture,
( ~ c0_1(X1)
| epred8_0
| c1_1(X1)
| c2_1(X1)
| hskp10
| hskp16 ),
inference(spm,[status(thm)],[c_0_333,c_0_217]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| c2_1(a2408)
| hskp10
| hskp16 ),
inference(spm,[status(thm)],[c_0_333,c_0_32]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp11
| c1_1(a2416)
| c2_1(a2416)
| hskp10
| hskp16 ),
inference(spm,[status(thm)],[c_0_333,c_0_176]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp12
| c1_1(a2417)
| c2_1(a2417)
| hskp10
| hskp16 ),
inference(spm,[status(thm)],[c_0_333,c_0_144]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp3
| c3_1(a2405)
| c1_1(a2405)
| hskp12
| hskp16 ),
inference(spm,[status(thm)],[c_0_356,c_0_122]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp7
| c3_1(a2411)
| c1_1(a2411)
| hskp12
| hskp16 ),
inference(spm,[status(thm)],[c_0_356,c_0_188]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp25
| c3_1(a2478)
| c1_1(a2478)
| hskp12
| hskp16 ),
inference(spm,[status(thm)],[c_0_356,c_0_15]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp19
| c0_1(a2432)
| c2_1(a2432)
| hskp13
| hskp16 ),
inference(spm,[status(thm)],[c_0_335,c_0_38]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp1
| c0_1(a2403)
| c2_1(a2403)
| hskp17
| hskp18 ),
inference(spm,[status(thm)],[c_0_337,c_0_353]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp8
| c0_1(a2412)
| c2_1(a2412)
| hskp17
| hskp18 ),
inference(spm,[status(thm)],[c_0_337,c_0_357]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp0
| c1_1(a2402)
| c2_1(a2402)
| hskp21
| hskp30 ),
inference(spm,[status(thm)],[c_0_358,c_0_165]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| c2_1(a2408)
| hskp21
| hskp30 ),
inference(spm,[status(thm)],[c_0_358,c_0_167]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp10
| c1_1(a2414)
| c2_1(a2414)
| hskp21
| hskp30 ),
inference(spm,[status(thm)],[c_0_358,c_0_179]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp19
| ~ c1_1(a2432)
| c0_1(a2432)
| hskp1
| hskp9 ),
inference(spm,[status(thm)],[c_0_359,c_0_36]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp12
| ~ c2_1(a2417)
| c0_1(a2417)
| hskp6
| hskp21 ),
inference(spm,[status(thm)],[c_0_360,c_0_144]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp23
| ~ c2_1(a2455)
| c0_1(a2455)
| hskp6
| hskp21 ),
inference(spm,[status(thm)],[c_0_360,c_0_50]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2405)
| c3_1(a2405)
| hskp6
| hskp23 ),
inference(spm,[status(thm)],[c_0_361,c_0_122]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2420)
| c3_1(a2420)
| hskp6
| hskp23 ),
inference(spm,[status(thm)],[c_0_361,c_0_23]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp25
| ~ c1_1(a2478)
| c3_1(a2478)
| hskp6
| hskp23 ),
inference(spm,[status(thm)],[c_0_361,c_0_15]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2408)
| c2_1(a2408)
| hskp7
| hskp25 ),
inference(spm,[status(thm)],[c_0_362,c_0_167]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2420)
| c0_1(a2420)
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_363,c_0_23]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp25
| ~ c1_1(a2478)
| c0_1(a2478)
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_363,c_0_15]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2420)
| hskp3
| hskp24
| epred28_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_23]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp29
| ~ c1_1(a2409)
| hskp3
| hskp24
| epred28_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_159]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp30
| ~ c1_1(a2450)
| hskp14
| hskp23
| epred26_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_44]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp19
| ~ c1_1(a2432)
| c0_1(a2432)
| hskp17
| hskp21 ),
inference(spm,[status(thm)],[c_0_366,c_0_36]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2408)
| c2_1(a2408)
| hskp19
| hskp25 ),
inference(spm,[status(thm)],[c_0_367,c_0_167]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp30
| ~ c1_1(a2450)
| c2_1(a2450)
| hskp19
| hskp25 ),
inference(spm,[status(thm)],[c_0_367,c_0_44]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp30
| ~ c1_1(a2450)
| ~ c2_1(a2450)
| hskp3
| hskp24 ),
inference(spm,[status(thm)],[c_0_231,c_0_44]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2408)
| ~ c1_1(a2408)
| hskp14
| hskp23 ),
inference(spm,[status(thm)],[c_0_232,c_0_32]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2450)
| ~ c1_1(a2450)
| hskp14
| hskp23 ),
inference(spm,[status(thm)],[c_0_232,c_0_46]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp29
| ~ c0_1(a2409)
| ~ c2_1(a2409)
| hskp18
| hskp20 ),
inference(spm,[status(thm)],[c_0_368,c_0_157]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp30
| ~ c0_1(a2450)
| ~ c2_1(a2450)
| hskp18
| hskp20 ),
inference(spm,[status(thm)],[c_0_368,c_0_46]) ).
cnf(c_0_544,negated_conjecture,
( ~ c1_1(a2403)
| ~ hskp1
| c2_1(a2403)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_545,negated_conjecture,
( ~ c0_1(a2403)
| ~ hskp1
| c2_1(a2403)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_371]) ).
cnf(c_0_546,negated_conjecture,
( ~ c0_1(a2404)
| ~ hskp2
| c2_1(a2404)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_371]) ).
cnf(c_0_547,negated_conjecture,
( ~ c0_1(a2414)
| ~ hskp10
| c2_1(a2414)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_181,c_0_371]) ).
cnf(c_0_548,negated_conjecture,
( ~ c0_1(a2425)
| ~ hskp16
| c2_1(a2425)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_371]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp10
| epred49_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_372]),c_0_179]),c_0_180]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp3
| epred4_0
| epred33_0
| epred40_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp3
| hskp12
| hskp30
| epred37_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_186]) ).
cnf(c_0_552,negated_conjecture,
( ~ hskp3
| hskp12
| epred40_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_186]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp3
| hskp12
| epred21_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_377,c_0_186]) ).
cnf(c_0_554,negated_conjecture,
( ~ hskp19
| hskp10
| epred24_0
| epred33_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp19
| epred12_0
| epred36_0
| epred43_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_380]) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp19
| hskp5
| epred12_0
| epred36_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_381,c_0_380]) ).
cnf(c_0_557,negated_conjecture,
( ~ c0_1(a2420)
| ~ hskp14
| hskp10
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_24]),c_0_191]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp12
| hskp30
| epred37_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_559,negated_conjecture,
( ~ c1_1(a2408)
| ~ hskp5
| hskp20
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_32]),c_0_33]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp12
| epred36_0
| epred41_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_383]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp30
| c2_1(a2450)
| hskp20
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_46]),c_0_45]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp8
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_104]),c_0_357]),c_0_256]) ).
cnf(c_0_563,negated_conjecture,
( ~ c1_1(a2428)
| ~ hskp18
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_104]),c_0_201]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp24
| epred28_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_565,negated_conjecture,
( hskp7
| hskp9
| hskp12
| epred33_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp3
| hskp7
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp12
| hskp2
| epred9_0
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp18
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_92]),c_0_200]),c_0_201]) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp24
| epred28_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_392]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp9
| epred4_0
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp17
| epred29_0
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_397]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp23
| epred21_0
| epred29_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp25
| epred28_0
| epred29_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_399]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp3
| hskp19
| epred15_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_400]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp3
| hskp19
| epred26_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_400]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp0
| hskp19
| epred4_0
| epred7_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp0
| hskp19
| epred7_0
| epred19_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_404]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp5
| epred7_0
| epred27_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_405]),c_0_77]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp16
| hskp19
| epred10_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp3
| epred15_0
| epred25_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_408]) ).
cnf(c_0_581,negated_conjecture,
( ~ epred40_0
| epred28_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp23
| hskp5
| epred22_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_583,negated_conjecture,
( hskp5
| hskp19
| epred22_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_59]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp25
| hskp3
| epred18_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_415]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp16
| hskp5
| epred16_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_381]) ).
cnf(c_0_586,negated_conjecture,
( ~ c1_1(a2408)
| ~ hskp5
| hskp2
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_167]),c_0_33]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp12
| hskp2
| epred4_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_418]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| hskp1
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_32]),c_0_33]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp11
| hskp1
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_176]),c_0_177]),c_0_178]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp5
| hskp23
| epred9_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_54]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp11
| epred4_0
| epred9_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_421,c_0_286]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp11
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_422]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp12
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_423]) ).
cnf(c_0_594,negated_conjecture,
( ~ hskp12
| epred9_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_261]),c_0_424]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp0
| epred7_0
| epred19_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_404]) ).
cnf(c_0_596,negated_conjecture,
( ~ hskp4
| hskp10
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_197]),c_0_198]),c_0_426]) ).
cnf(c_0_597,negated_conjecture,
( ~ hskp17
| hskp12
| epred52_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_343]) ).
cnf(c_0_598,negated_conjecture,
( ~ hskp23
| hskp12
| epred21_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_427]) ).
cnf(c_0_599,negated_conjecture,
( ~ hskp23
| hskp12
| epred28_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_427]) ).
cnf(c_0_600,negated_conjecture,
( ~ hskp12
| hskp1
| epred3_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_428]) ).
cnf(c_0_601,negated_conjecture,
( ~ c1_1(a2408)
| ~ hskp5
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_167]),c_0_33]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp6
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]),c_0_432]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp30
| c2_1(a2450)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_44]),c_0_45]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_167]),c_0_33]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp10
| epred19_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_344]) ).
cnf(c_0_606,negated_conjecture,
( ~ hskp30
| epred39_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_61]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp16
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_90]),c_0_218]),c_0_275]) ).
cnf(c_0_608,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| hskp4
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_32]),c_0_33]) ).
cnf(c_0_609,negated_conjecture,
( ~ hskp9
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_183]),c_0_203]),c_0_204]) ).
cnf(c_0_610,negated_conjecture,
( hskp5
| hskp19
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_59]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp29
| epred19_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_612,negated_conjecture,
( hskp19
| epred10_0
| epred15_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_80]) ).
cnf(c_0_613,negated_conjecture,
( ~ hskp0
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_162]),c_0_165]),c_0_163]) ).
cnf(c_0_614,negated_conjecture,
( ~ hskp5
| c1_1(a2408)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_32]),c_0_167]) ).
cnf(c_0_615,negated_conjecture,
( ~ hskp13
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_13]),c_0_441]),c_0_442]) ).
cnf(c_0_616,negated_conjecture,
( ~ c2_1(a2432)
| ~ hskp19
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_13]),c_0_38]) ).
cnf(c_0_617,negated_conjecture,
( ~ hskp23
| epred4_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_285]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp3
| epred19_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_443]) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp19
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_36]),c_0_38]),c_0_37]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp3
| epred15_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_443]) ).
cnf(c_0_621,negated_conjecture,
( ~ hskp21
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_444]),c_0_205]),c_0_206]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp3
| c1_1(a2405)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_445]),c_0_122]) ).
cnf(c_0_623,negated_conjecture,
( ~ c2_1(a2414)
| ~ hskp10
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_445]),c_0_180]) ).
cnf(c_0_624,negated_conjecture,
( ~ hskp3
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_446]),c_0_123]),c_0_122]) ).
cnf(c_0_625,negated_conjecture,
( ~ hskp12
| hskp0
| epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_447]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp1
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_30]),c_0_353]),c_0_448]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp16
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_348]) ).
cnf(c_0_628,negated_conjecture,
( ~ c1_1(a2428)
| ~ hskp18
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_30]),c_0_201]) ).
cnf(c_0_629,negated_conjecture,
( ~ c0_1(a2411)
| ~ hskp7
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_217]),c_0_190]) ).
cnf(c_0_630,negated_conjecture,
( ~ hskp10
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_217]),c_0_179]),c_0_180]) ).
cnf(c_0_631,negated_conjecture,
( ~ hskp24
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_449]),c_0_253]),c_0_252]) ).
cnf(c_0_632,negated_conjecture,
( ~ hskp17
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_209]),c_0_267]),c_0_210]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp12
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_144]),c_0_146]),c_0_145]) ).
cnf(c_0_634,negated_conjecture,
( ~ hskp2
| epred41_0
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_451]),c_0_249]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp6
| epred10_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_452]),c_0_431]) ).
cnf(c_0_636,negated_conjecture,
( hskp19
| epred26_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_63]),c_0_454]) ).
cnf(c_0_637,negated_conjecture,
( ~ epred19_0
| ~ epred51_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_236]),c_0_109]),c_0_160]) ).
cnf(c_0_638,negated_conjecture,
( ~ epred4_0
| ~ epred34_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_237]),c_0_100]),c_0_106]) ).
cnf(c_0_639,negated_conjecture,
( ~ epred26_0
| ~ epred39_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_238]),c_0_49]),c_0_97]) ).
cnf(c_0_640,negated_conjecture,
( ~ epred46_0
| ~ epred47_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_73]),c_0_132]),c_0_290]) ).
cnf(c_0_641,negated_conjecture,
( ~ epred28_0
| ~ epred44_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_69]),c_0_19]),c_0_9]) ).
cnf(c_0_642,negated_conjecture,
( ~ epred2_0
| ~ epred39_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_69]),c_0_298]),c_0_97]) ).
cnf(c_0_643,negated_conjecture,
( ~ epred10_0
| ~ epred41_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_66]),c_0_18]),c_0_19]) ).
cnf(c_0_644,negated_conjecture,
( ~ epred41_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_66]),c_0_68]),c_0_19]) ).
cnf(c_0_645,negated_conjecture,
( ~ epred19_0
| ~ epred41_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_66]),c_0_118]),c_0_109]) ).
cnf(c_0_646,negated_conjecture,
( ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_215]),c_0_97]) ).
cnf(c_0_647,negated_conjecture,
( ~ epred26_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_65]),c_0_49]) ).
cnf(c_0_648,negated_conjecture,
( ~ epred21_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_67]),c_0_101]) ).
cnf(c_0_649,negated_conjecture,
( ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_71]),c_0_106]) ).
cnf(c_0_650,negated_conjecture,
( ~ epred21_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_257]),c_0_101]) ).
cnf(c_0_651,negated_conjecture,
( ~ epred23_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_105]),c_0_139]) ).
cnf(c_0_652,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_107]),c_0_293]) ).
cnf(c_0_653,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_129]),c_0_9]) ).
cnf(c_0_654,negated_conjecture,
( ~ epred4_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_148]),c_0_100]) ).
cnf(c_0_655,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_473,c_0_116]),c_0_139]) ).
cnf(c_0_656,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_474,c_0_125]),c_0_109]) ).
cnf(c_0_657,negated_conjecture,
( ~ epred16_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_475,c_0_175]),c_0_294]) ).
cnf(c_0_658,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_476,c_0_72]),c_0_295]) ).
cnf(c_0_659,negated_conjecture,
( ~ epred4_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_477,c_0_284]),c_0_100]) ).
cnf(c_0_660,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_478,c_0_108]),c_0_140]) ).
cnf(c_0_661,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_291]),c_0_297]) ).
cnf(c_0_662,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_480,c_0_117]),c_0_100]) ).
cnf(c_0_663,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_184]),c_0_298]) ).
cnf(c_0_664,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_553,c_0_374,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_375,c_0_559,c_0_560,c_0_379,c_0_380,c_0_150,c_0_561,c_0_149,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_128,c_0_567,c_0_568,c_0_569,c_0_570,c_0_394,c_0_571,c_0_572,c_0_573,c_0_399,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_402,c_0_579,c_0_580,c_0_277,c_0_581,c_0_373,c_0_240,c_0_378,c_0_582,c_0_583,c_0_414,c_0_328,c_0_584,c_0_585,c_0_586,c_0_381,c_0_130,c_0_587,c_0_588,c_0_589,c_0_112,c_0_590,c_0_54,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_405,c_0_597,c_0_598,c_0_599,c_0_600,c_0_172,c_0_77,c_0_75,c_0_397,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_53,c_0_57,c_0_606,c_0_127,c_0_425,c_0_607,c_0_608,c_0_609,c_0_610,c_0_435,c_0_212,c_0_611,c_0_433,c_0_420,c_0_612,c_0_438,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_401,c_0_115,c_0_619,c_0_421,c_0_273,c_0_620,c_0_287,c_0_621,c_0_437,c_0_622,c_0_623,c_0_276,c_0_80,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_631,c_0_271,c_0_239,c_0_632,c_0_633,c_0_634,c_0_635,c_0_636,c_0_42,c_0_637,c_0_638,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_279,c_0_646,c_0_647,c_0_648,c_0_649,c_0_650,c_0_651,c_0_652,c_0_653,c_0_409,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_170,c_0_660,c_0_661,c_0_662,c_0_663,c_0_17,c_0_14,c_0_52,c_0_206,c_0_84,c_0_85,c_0_37,c_0_201,c_0_350,c_0_200,c_0_210,c_0_275,c_0_216,c_0_191,c_0_145,c_0_146,c_0_178,c_0_177,c_0_180,c_0_181,c_0_204,c_0_265,c_0_256,c_0_254,c_0_190,c_0_189,c_0_33,c_0_426,c_0_198,c_0_124,c_0_91,c_0_249,c_0_448,c_0_163,c_0_159,c_0_51,c_0_205,c_0_267,c_0_23,c_0_188,c_0_45,c_0_38,c_0_24,c_0_353,c_0_44,c_0_158,c_0_444,c_0_218,c_0_179,c_0_167,c_0_165,c_0_388,c_0_59,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN488+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 % Computer : n017.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.48 % DateTime : Mon Sep 21 10:57:43 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.19/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.57 Running first-order theorem proving
% 0.23/0.57 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
% 29.32/4.42 % Version: 3.5.1
% 29.32/4.42 % Preprocessing class: FSLSSLSMSSSNFFN.
% 29.32/4.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 29.32/4.42 % Starting new_bool_3 with 300s (1) cores
% 29.32/4.42 % Starting new_bool_1 with 300s (1) cores
% 29.32/4.42 % Starting sh5l with 300s (1) cores
% 29.32/4.42 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2163488 completed with status 0
% 29.32/4.42 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 29.32/4.42 % Preprocessing class: FSLSSLSMSSSNFFN.
% 29.32/4.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 29.32/4.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 29.32/4.42 % No SInE strategy applied
% 29.32/4.42 % Search class: FGHNF-FSMM00-SFFFFFNN
% 29.32/4.42 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 29.32/4.42 % Starting SubtermCWHack with 151s (1) cores
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 29.32/4.42 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 29.32/4.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 29.32/4.42 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2163496 completed with status 0
% 29.32/4.42 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 29.32/4.42 % Preprocessing class: FSLSSLSMSSSNFFN.
% 29.32/4.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 29.32/4.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 29.32/4.42 % No SInE strategy applied
% 29.32/4.42 % Search class: FGHNF-FSMM00-SFFFFFNN
% 29.32/4.42 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 29.32/4.42 % Starting SubtermCWHack with 151s (1) cores
% 29.32/4.42 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 29.32/4.42 % Preprocessing time : 0.004 s
% 29.32/4.42 % SatCheck found unsatisfiable ground set
% 29.32/4.42
% 29.32/4.42 % Proof found!
% 29.32/4.42 % SZS status Theorem
% 29.32/4.42 % SZS output start CNFRefutation
% See solution above
% 29.32/4.43 % Parsed axioms : 1
% 29.32/4.43 % Removed by relevancy pruning/SinE : 0
% 29.32/4.43 % Initial clauses : 204
% 29.32/4.43 % Removed in clause preprocessing : 0
% 29.32/4.43 % Initial clauses in saturation : 204
% 29.32/4.43 % Processed clauses : 7422
% 29.32/4.43 % ...of these trivial : 0
% 29.32/4.43 % ...subsumed : 2422
% 29.32/4.43 % ...remaining for further processing : 5000
% 29.32/4.43 % Other redundant clauses eliminated : 0
% 29.32/4.43 % Clauses deleted for lack of memory : 0
% 29.32/4.43 % Backward-subsumed : 1003
% 29.32/4.43 % Backward-rewritten : 69
% 29.32/4.43 % Generated clauses : 90235
% 29.32/4.43 % ...of the previous two non-redundant : 85484
% 29.32/4.43 % ...aggressively subsumed : 0
% 29.32/4.43 % Contextual simplify-reflections : 552
% 29.32/4.43 % Paramodulations : 90150
% 29.32/4.43 % Factorizations : 0
% 29.32/4.43 % NegExts : 0
% 29.32/4.43 % Equation resolutions : 0
% 29.32/4.43 % Disequality decompositions : 0
% 29.32/4.43 % Total rewrite steps : 99
% 29.32/4.43 % ...of those cached : 98
% 29.32/4.43 % Propositional unsat checks : 1
% 29.32/4.43 % Propositional check models : 0
% 29.32/4.43 % Propositional check unsatisfiable : 1
% 29.32/4.43 % Propositional clauses : 81504
% 29.32/4.43 % Propositional clauses after purity: 80689
% 29.32/4.43 % Propositional unsat core size : 284
% 29.32/4.43 % Propositional preprocessing time : 0.000
% 29.32/4.43 % Propositional encoding time : 0.062
% 29.32/4.43 % Propositional solver time : 0.232
% 29.32/4.43 % Success case prop preproc time : 0.000
% 29.32/4.43 % Success case prop encoding time : 0.062
% 29.32/4.43 % Success case prop solver time : 0.232
% 29.32/4.43 % Current number of processed clauses : 3895
% 29.32/4.43 % Positive orientable unit clauses : 1
% 29.32/4.43 % Positive unorientable unit clauses: 0
% 29.32/4.43 % Negative unit clauses : 0
% 29.32/4.43 % Non-unit-clauses : 3894
% 29.32/4.43 % Current number of unprocessed clauses: 77609
% 29.32/4.43 % ...number of literals in the above : 555838
% 29.32/4.43 % Current number of archived formulas : 0
% 29.32/4.43 % Current number of archived clauses : 1072
% 29.32/4.43 % Clause-clause subsumption calls (NU) : 4565350
% 29.32/4.43 % Rec. Clause-clause subsumption calls : 222405
% 29.32/4.43 % Non-unit clause-clause subsumptions : 4023
% 29.32/4.43 % Unit Clause-clause subsumption calls : 4
% 29.32/4.43 % Rewrite failures with RHS unbound : 0
% 29.32/4.43 % BW rewrite match attempts : 1
% 29.32/4.43 % BW rewrite match successes : 1
% 29.32/4.43 % Condensation attempts : 7422
% 29.32/4.43 % Condensation successes : 0
% 29.32/4.43 % Termbank termtop insertions : 902564
% 29.32/4.43 % Search garbage collected termcells : 2136
% 29.32/4.43
% 29.32/4.43 % -------------------------------------------------
% 29.32/4.43 % User time : 3.590 s
% 29.32/4.43 % System time : 0.146 s
% 29.32/4.43 % Total time : 3.736 s
% 29.32/4.43 % Maximum resident set size: 4700 pages
% 29.32/4.43
% 29.32/4.43 % -------------------------------------------------
% 29.32/4.43 % User time : 17.846 s
% 29.32/4.43 % System time : 0.513 s
% 29.32/4.43 % Total time : 18.359 s
% 29.32/4.43 % Maximum resident set size: 5376 pages
% 29.32/4.43 % E exiting
%------------------------------------------------------------------------------