%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN510+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 03:34:48 PM UTC 2026
% Result : Theorem 18.80s 3.43s
% Output : CNFRefutation 18.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 266 ( 2 unt; 0 def)
% Number of atoms : 3995 ( 0 equ)
% Maximal formula atoms : 816 ( 15 avg)
% Number of connectives : 5412 (1683 ~;2558 |; 828 &)
% ( 22 <=>; 321 =>; 0 <=; 0 <~>)
% Maximal formula depth : 317 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 60 ( 59 usr; 56 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 556 ( 1 sgn 450 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp23
| hskp22
| hskp21 )
& ( hskp2
| hskp9
| hskp24 )
& ( hskp2
| hskp6
| hskp26 )
& ( hskp22
| hskp7
| hskp26 )
& ( hskp18
| hskp24
| hskp3 )
& ( hskp22
| hskp25
| hskp13 )
& ( hskp6
| hskp14
| hskp13 )
& ( hskp6
| hskp24
| hskp13 )
& ( hskp4
| hskp7
| hskp12 )
& ( hskp14
| hskp10
| hskp5 )
& ( hskp25
| hskp27
| hskp5 )
& ( hskp22
| hskp20
| hskp31 )
& ( hskp16
| hskp10
| hskp31 )
& ( hskp14
| hskp12
| hskp31 )
& ( hskp23
| hskp15
| hskp28 )
& ( hskp14
| hskp20
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c2_1(X107)
| ~ c1_1(X107) ) ) )
& ( hskp14
| hskp10
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c2_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp4
| hskp26
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp26
| hskp27
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| ~ c0_1(X104) ) ) )
& ( hskp14
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) ) )
& ( hskp14
| hskp26
| ! [X101] :
( ndr1_0
=> ( ~ c2_1(X101)
| ~ c1_1(X101)
| ~ c0_1(X101) ) ) )
& ( hskp4
| hskp5
| ! [X100] :
( ndr1_0
=> ( ~ c2_1(X100)
| ~ c1_1(X100)
| c3_1(X100) ) ) )
& ( hskp9
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c2_1(X99)
| ~ c0_1(X99)
| c3_1(X99) ) ) )
& ( hskp21
| hskp14
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c0_1(X98)
| c3_1(X98) ) ) )
& ( hskp24
| hskp26
| ! [X97] :
( ndr1_0
=> ( ~ c2_1(X97)
| ~ c0_1(X97)
| c3_1(X97) ) ) )
& ( hskp7
| hskp30
| ! [X96] :
( ndr1_0
=> ( ~ c2_1(X96)
| ~ c0_1(X96)
| c3_1(X96) ) ) )
& ( hskp21
| hskp12
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c0_1(X95)
| c3_1(X95) ) ) )
& ( hskp6
| hskp3
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c1_1(X94)
| c2_1(X94) ) ) )
& ( hskp0
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c0_1(X93)
| c2_1(X93) ) ) )
& ( hskp4
| hskp25
| ! [X92] :
( ndr1_0
=> ( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp6
| hskp3
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| c3_1(X91)
| c2_1(X91) ) ) )
& ( hskp14
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| ~ c0_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) ) )
& ( hskp24
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c1_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) ) )
& ( hskp22
| hskp21
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( ~ c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c2_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c2_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c0_1(X82)
| c2_1(X82) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) ) )
& ( hskp23
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) ) )
& ( hskp3
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c2_1(X77)
| ~ c0_1(X77)
| c1_1(X77) ) ) )
& ( hskp7
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c2_1(X75)
| ~ c0_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| c3_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| hskp29
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| c3_1(X70)
| c1_1(X70) ) ) )
& ( hskp20
| hskp13
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ) ) )
& ( hskp13
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c1_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) ) )
& ( hskp9
| hskp19
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp11
| hskp12
| ! [X65] :
( ndr1_0
=> ( ~ c0_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c2_1(X64)
| ~ c1_1(X64)
| c3_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp12
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp17
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c0_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp16
| hskp3
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp2
| hskp15
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp14
| hskp13
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c2_1(X56)
| c0_1(X56) ) ) )
& ( hskp12
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| ~ c0_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c0_1(X54) ) ) )
& ( hskp31
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c0_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| ~ c2_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( hskp30
| hskp0
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ) )
& ( hskp6
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c0_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c0_1(X46) ) ) )
& ( hskp9
| hskp10
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp0
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ) ) )
& ( hskp9
| hskp11
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| ~ c0_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| ~ c0_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c3_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp10
| hskp8
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c2_1(X34)
| ~ c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp8
| ! [X28] :
( ndr1_0
=> ( c3_1(X28)
| c2_1(X28)
| c0_1(X28) ) ) )
& ( hskp7
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c0_1(X27)
| c2_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) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c2_1(X23)
| c0_1(X23) ) ) )
& ( hskp6
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp2
| hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( hskp1
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| c0_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp2
| hskp28
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c0_1(X10)
| c3_1(X10)
| c1_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp3
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp2
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ~ c0_1(X4)
| c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp0
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a563)
& c1_1(a563)
& c0_1(a563)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a562)
& c2_1(a562)
& c1_1(a562)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a552)
& c2_1(a552)
& c0_1(a552)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c1_1(a615)
& c2_1(a615)
& c0_1(a615)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a604)
& c2_1(a604)
& c1_1(a604)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a594)
& ~ c0_1(a594)
& c2_1(a594)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a590)
& ~ c0_1(a590)
& c1_1(a590)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a587)
& ~ c2_1(a587)
& ~ c0_1(a587)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a584)
& ~ c0_1(a584)
& c3_1(a584)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a582)
& c3_1(a582)
& c2_1(a582)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a580)
& ~ c0_1(a580)
& c1_1(a580)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a576)
& ~ c1_1(a576)
& c0_1(a576)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a573)
& ~ c1_1(a573)
& ~ c0_1(a573)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& ~ c1_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a570)
& ~ c2_1(a570)
& c1_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a567)
& c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a566)
& c3_1(a566)
& c2_1(a566)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a565)
& c3_1(a565)
& c0_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a564)
& c3_1(a564)
& c0_1(a564)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a553)
& c3_1(a553)
& c1_1(a553)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a551)
& c3_1(a551)
& c1_1(a551)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a549)
& ~ c1_1(a549)
& ~ c0_1(a549)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a548)
& c2_1(a548)
& c1_1(a548)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a547)
& ~ c0_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a546)
& ~ c0_1(a546)
& c3_1(a546)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a544)
& c1_1(a544)
& c0_1(a544)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a540)
& ~ c1_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a539)
& ~ c2_1(a539)
& c0_1(a539)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a538)
& ~ c2_1(a538)
& ~ c1_1(a538)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a537)
& ~ c1_1(a537)
& c2_1(a537)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a536)
& c2_1(a536)
& c0_1(a536)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp23
| hskp22
| hskp21 )
& ( hskp2
| hskp9
| hskp24 )
& ( hskp2
| hskp6
| hskp26 )
& ( hskp22
| hskp7
| hskp26 )
& ( hskp18
| hskp24
| hskp3 )
& ( hskp22
| hskp25
| hskp13 )
& ( hskp6
| hskp14
| hskp13 )
& ( hskp6
| hskp24
| hskp13 )
& ( hskp4
| hskp7
| hskp12 )
& ( hskp14
| hskp10
| hskp5 )
& ( hskp25
| hskp27
| hskp5 )
& ( hskp22
| hskp20
| hskp31 )
& ( hskp16
| hskp10
| hskp31 )
& ( hskp14
| hskp12
| hskp31 )
& ( hskp23
| hskp15
| hskp28 )
& ( hskp14
| hskp20
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c2_1(X107)
| ~ c1_1(X107) ) ) )
& ( hskp14
| hskp10
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c2_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp4
| hskp26
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp26
| hskp27
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| ~ c0_1(X104) ) ) )
& ( hskp14
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) ) )
& ( hskp14
| hskp26
| ! [X101] :
( ndr1_0
=> ( ~ c2_1(X101)
| ~ c1_1(X101)
| ~ c0_1(X101) ) ) )
& ( hskp4
| hskp5
| ! [X100] :
( ndr1_0
=> ( ~ c2_1(X100)
| ~ c1_1(X100)
| c3_1(X100) ) ) )
& ( hskp9
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c2_1(X99)
| ~ c0_1(X99)
| c3_1(X99) ) ) )
& ( hskp21
| hskp14
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c0_1(X98)
| c3_1(X98) ) ) )
& ( hskp24
| hskp26
| ! [X97] :
( ndr1_0
=> ( ~ c2_1(X97)
| ~ c0_1(X97)
| c3_1(X97) ) ) )
& ( hskp7
| hskp30
| ! [X96] :
( ndr1_0
=> ( ~ c2_1(X96)
| ~ c0_1(X96)
| c3_1(X96) ) ) )
& ( hskp21
| hskp12
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c0_1(X95)
| c3_1(X95) ) ) )
& ( hskp6
| hskp3
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c1_1(X94)
| c2_1(X94) ) ) )
& ( hskp0
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c0_1(X93)
| c2_1(X93) ) ) )
& ( hskp4
| hskp25
| ! [X92] :
( ndr1_0
=> ( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp6
| hskp3
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| c3_1(X91)
| c2_1(X91) ) ) )
& ( hskp14
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| ~ c0_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) ) )
& ( hskp24
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c1_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) ) )
& ( hskp22
| hskp21
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( ~ c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c2_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c2_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c0_1(X82)
| c2_1(X82) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) ) )
& ( hskp23
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) ) )
& ( hskp3
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c2_1(X77)
| ~ c0_1(X77)
| c1_1(X77) ) ) )
& ( hskp7
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c2_1(X75)
| ~ c0_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| c3_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| hskp29
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| c3_1(X70)
| c1_1(X70) ) ) )
& ( hskp20
| hskp13
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ) ) )
& ( hskp13
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c1_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) ) )
& ( hskp9
| hskp19
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp11
| hskp12
| ! [X65] :
( ndr1_0
=> ( ~ c0_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c2_1(X64)
| ~ c1_1(X64)
| c3_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp12
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp17
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c0_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp16
| hskp3
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp2
| hskp15
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp14
| hskp13
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c2_1(X56)
| c0_1(X56) ) ) )
& ( hskp12
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| ~ c0_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c0_1(X54) ) ) )
& ( hskp31
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c0_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| ~ c2_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( hskp30
| hskp0
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ) )
& ( hskp6
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c0_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c0_1(X46) ) ) )
& ( hskp9
| hskp10
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp0
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ) ) )
& ( hskp9
| hskp11
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| ~ c0_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| ~ c0_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c3_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp10
| hskp8
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c2_1(X34)
| ~ c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp8
| ! [X28] :
( ndr1_0
=> ( c3_1(X28)
| c2_1(X28)
| c0_1(X28) ) ) )
& ( hskp7
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c0_1(X27)
| c2_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) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c2_1(X23)
| c0_1(X23) ) ) )
& ( hskp6
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp2
| hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( hskp1
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| c0_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp2
| hskp28
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c0_1(X10)
| c3_1(X10)
| c1_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp3
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp2
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ~ c0_1(X4)
| c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp0
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a563)
& c1_1(a563)
& c0_1(a563)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a562)
& c2_1(a562)
& c1_1(a562)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a552)
& c2_1(a552)
& c0_1(a552)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c1_1(a615)
& c2_1(a615)
& c0_1(a615)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a604)
& c2_1(a604)
& c1_1(a604)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a594)
& ~ c0_1(a594)
& c2_1(a594)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a590)
& ~ c0_1(a590)
& c1_1(a590)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a587)
& ~ c2_1(a587)
& ~ c0_1(a587)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a584)
& ~ c0_1(a584)
& c3_1(a584)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a582)
& c3_1(a582)
& c2_1(a582)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a580)
& ~ c0_1(a580)
& c1_1(a580)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a576)
& ~ c1_1(a576)
& c0_1(a576)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a573)
& ~ c1_1(a573)
& ~ c0_1(a573)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& ~ c1_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a570)
& ~ c2_1(a570)
& c1_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a567)
& c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a566)
& c3_1(a566)
& c2_1(a566)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a565)
& c3_1(a565)
& c0_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a564)
& c3_1(a564)
& c0_1(a564)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a553)
& c3_1(a553)
& c1_1(a553)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a551)
& c3_1(a551)
& c1_1(a551)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a549)
& ~ c1_1(a549)
& ~ c0_1(a549)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a548)
& c2_1(a548)
& c1_1(a548)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a547)
& ~ c0_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a546)
& ~ c0_1(a546)
& c3_1(a546)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a544)
& c1_1(a544)
& c0_1(a544)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a540)
& ~ c1_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a539)
& ~ c2_1(a539)
& c0_1(a539)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a538)
& ~ c2_1(a538)
& ~ c1_1(a538)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a537)
& ~ c1_1(a537)
& c2_1(a537)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a536)
& c2_1(a536)
& c0_1(a536)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp23
| hskp22
| hskp21 )
& ( hskp2
| hskp9
| hskp24 )
& ( hskp2
| hskp6
| hskp26 )
& ( hskp22
| hskp7
| hskp26 )
& ( hskp18
| hskp24
| hskp3 )
& ( hskp22
| hskp25
| hskp13 )
& ( hskp6
| hskp14
| hskp13 )
& ( hskp6
| hskp24
| hskp13 )
& ( hskp4
| hskp7
| hskp12 )
& ( hskp14
| hskp10
| hskp5 )
& ( hskp25
| hskp27
| hskp5 )
& ( hskp22
| hskp20
| hskp31 )
& ( hskp16
| hskp10
| hskp31 )
& ( hskp14
| hskp12
| hskp31 )
& ( hskp23
| hskp15
| hskp28 )
& ( hskp14
| hskp20
| ! [X107] :
( ndr1_0
=> ( ~ c3_1(X107)
| ~ c2_1(X107)
| ~ c1_1(X107) ) ) )
& ( hskp14
| hskp10
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c2_1(X106)
| ~ c0_1(X106) ) ) )
& ( hskp4
| hskp26
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ) ) )
& ( hskp26
| hskp27
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| ~ c0_1(X104) ) ) )
& ( hskp14
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102) ) ) )
& ( hskp14
| hskp26
| ! [X101] :
( ndr1_0
=> ( ~ c2_1(X101)
| ~ c1_1(X101)
| ~ c0_1(X101) ) ) )
& ( hskp4
| hskp5
| ! [X100] :
( ndr1_0
=> ( ~ c2_1(X100)
| ~ c1_1(X100)
| c3_1(X100) ) ) )
& ( hskp9
| hskp25
| ! [X99] :
( ndr1_0
=> ( ~ c2_1(X99)
| ~ c0_1(X99)
| c3_1(X99) ) ) )
& ( hskp21
| hskp14
| ! [X98] :
( ndr1_0
=> ( ~ c2_1(X98)
| ~ c0_1(X98)
| c3_1(X98) ) ) )
& ( hskp24
| hskp26
| ! [X97] :
( ndr1_0
=> ( ~ c2_1(X97)
| ~ c0_1(X97)
| c3_1(X97) ) ) )
& ( hskp7
| hskp30
| ! [X96] :
( ndr1_0
=> ( ~ c2_1(X96)
| ~ c0_1(X96)
| c3_1(X96) ) ) )
& ( hskp21
| hskp12
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c0_1(X95)
| c3_1(X95) ) ) )
& ( hskp6
| hskp3
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c1_1(X94)
| c2_1(X94) ) ) )
& ( hskp0
| hskp15
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c0_1(X93)
| c2_1(X93) ) ) )
& ( hskp4
| hskp25
| ! [X92] :
( ndr1_0
=> ( ~ c1_1(X92)
| c3_1(X92)
| c2_1(X92) ) ) )
& ( hskp6
| hskp3
| ! [X91] :
( ndr1_0
=> ( ~ c1_1(X91)
| c3_1(X91)
| c2_1(X91) ) ) )
& ( hskp14
| ! [X90] :
( ndr1_0
=> ( ~ c3_1(X90)
| ~ c2_1(X90)
| ~ c0_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| c3_1(X89)
| c2_1(X89) ) ) )
& ( hskp24
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c1_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| c3_1(X87)
| c2_1(X87) ) ) )
& ( hskp22
| hskp21
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( ~ c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c2_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c2_1(X83)
| ~ c0_1(X83)
| c3_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c0_1(X82)
| c2_1(X82) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c1_1(X81) ) ) )
& ( hskp23
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| c1_1(X79) ) ) )
& ( hskp3
| ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| c2_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c2_1(X77)
| ~ c0_1(X77)
| c1_1(X77) ) ) )
& ( hskp7
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c0_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c2_1(X75)
| ~ c0_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| c3_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| hskp29
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| c3_1(X70)
| c1_1(X70) ) ) )
& ( hskp20
| hskp13
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ) ) )
& ( hskp13
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c1_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c1_1(X67) ) ) )
& ( hskp9
| hskp19
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp11
| hskp12
| ! [X65] :
( ndr1_0
=> ( ~ c0_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c2_1(X64)
| ~ c1_1(X64)
| c3_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp12
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp17
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c0_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp16
| hskp3
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp2
| hskp15
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp14
| hskp13
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ~ c2_1(X56)
| c0_1(X56) ) ) )
& ( hskp12
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| ~ c0_1(X55) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c0_1(X54) ) ) )
& ( hskp31
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| ~ c0_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| ~ c2_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c1_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( hskp30
| hskp0
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| ~ c1_1(X48)
| c0_1(X48) ) ) )
& ( hskp6
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c0_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c0_1(X46) ) ) )
& ( hskp9
| hskp10
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ) ) )
& ( hskp0
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| ~ c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ) ) )
& ( hskp9
| hskp11
| ! [X42] :
( ndr1_0
=> ( ~ c1_1(X42)
| c3_1(X42)
| c0_1(X42) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c1_1(X40)
| ~ c0_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| ~ c0_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c3_1(X37)
| c0_1(X37) ) ) )
& ( hskp11
| hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp10
| hskp8
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c2_1(X34)
| ~ c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp9
| hskp8
| ! [X28] :
( ndr1_0
=> ( c3_1(X28)
| c2_1(X28)
| c0_1(X28) ) ) )
& ( hskp7
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c0_1(X27)
| c2_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) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| ~ c0_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( c3_1(X23)
| c2_1(X23)
| c0_1(X23) ) ) )
& ( hskp6
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c0_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp2
| hskp5
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( hskp1
| ! [X19] :
( ndr1_0
=> ( ~ c2_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| ~ c2_1(X17)
| c0_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp2
| hskp28
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c0_1(X10)
| c3_1(X10)
| c1_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp3
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp2
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ~ c0_1(X4)
| c1_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp0
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a563)
& c1_1(a563)
& c0_1(a563)
& ndr1_0 )
| ~ hskp31 )
& ( ( c3_1(a562)
& c2_1(a562)
& c1_1(a562)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a552)
& c2_1(a552)
& c0_1(a552)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c1_1(a615)
& c2_1(a615)
& c0_1(a615)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a604)
& c2_1(a604)
& c1_1(a604)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a594)
& ~ c0_1(a594)
& c2_1(a594)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a590)
& ~ c0_1(a590)
& c1_1(a590)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c3_1(a587)
& ~ c2_1(a587)
& ~ c0_1(a587)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a584)
& ~ c0_1(a584)
& c3_1(a584)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a582)
& c3_1(a582)
& c2_1(a582)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a580)
& ~ c0_1(a580)
& c1_1(a580)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a576)
& ~ c1_1(a576)
& c0_1(a576)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a573)
& ~ c1_1(a573)
& ~ c0_1(a573)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& ~ c1_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a570)
& ~ c2_1(a570)
& c1_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a567)
& c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a566)
& c3_1(a566)
& c2_1(a566)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a565)
& c3_1(a565)
& c0_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a564)
& c3_1(a564)
& c0_1(a564)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a553)
& c3_1(a553)
& c1_1(a553)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a551)
& c3_1(a551)
& c1_1(a551)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a549)
& ~ c1_1(a549)
& ~ c0_1(a549)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a548)
& c2_1(a548)
& c1_1(a548)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a547)
& ~ c0_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a546)
& ~ c0_1(a546)
& c3_1(a546)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a544)
& c1_1(a544)
& c0_1(a544)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a540)
& ~ c1_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a539)
& ~ c2_1(a539)
& c0_1(a539)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a538)
& ~ c2_1(a538)
& ~ c1_1(a538)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a537)
& ~ c1_1(a537)
& c2_1(a537)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a536)
& c2_1(a536)
& c0_1(a536)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214] :
( ( hskp23
| hskp22
| hskp21 )
& ( hskp2
| hskp9
| hskp24 )
& ( hskp2
| hskp6
| hskp26 )
& ( hskp22
| hskp7
| hskp26 )
& ( hskp18
| hskp24
| hskp3 )
& ( hskp22
| hskp25
| hskp13 )
& ( hskp6
| hskp14
| hskp13 )
& ( hskp6
| hskp24
| hskp13 )
& ( hskp4
| hskp7
| hskp12 )
& ( hskp14
| hskp10
| hskp5 )
& ( hskp25
| hskp27
| hskp5 )
& ( hskp22
| hskp20
| hskp31 )
& ( hskp16
| hskp10
| hskp31 )
& ( hskp14
| hskp12
| hskp31 )
& ( hskp23
| hskp15
| hskp28 )
& ( hskp14
| hskp20
| ~ c3_1(X214)
| ~ c2_1(X214)
| ~ c1_1(X214)
| ~ ndr1_0 )
& ( hskp14
| hskp10
| ~ c3_1(X213)
| ~ c2_1(X213)
| ~ c0_1(X213)
| ~ ndr1_0 )
& ( hskp4
| hskp26
| ~ c3_1(X212)
| ~ c2_1(X212)
| ~ c0_1(X212)
| ~ ndr1_0 )
& ( hskp26
| hskp27
| ~ c3_1(X211)
| ~ c1_1(X211)
| ~ c0_1(X211)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X210)
| ~ c2_1(X210)
| ~ c0_1(X210)
| ~ ndr1_0
| ~ c3_1(X209)
| ~ c1_1(X209)
| ~ c0_1(X209)
| ~ ndr1_0 )
& ( hskp14
| hskp26
| ~ c2_1(X208)
| ~ c1_1(X208)
| ~ c0_1(X208)
| ~ ndr1_0 )
& ( hskp4
| hskp5
| ~ c2_1(X207)
| ~ c1_1(X207)
| c3_1(X207)
| ~ ndr1_0 )
& ( hskp9
| hskp25
| ~ c2_1(X206)
| ~ c0_1(X206)
| c3_1(X206)
| ~ ndr1_0 )
& ( hskp21
| hskp14
| ~ c2_1(X205)
| ~ c0_1(X205)
| c3_1(X205)
| ~ ndr1_0 )
& ( hskp24
| hskp26
| ~ c2_1(X204)
| ~ c0_1(X204)
| c3_1(X204)
| ~ ndr1_0 )
& ( hskp7
| hskp30
| ~ c2_1(X203)
| ~ c0_1(X203)
| c3_1(X203)
| ~ ndr1_0 )
& ( hskp21
| hskp12
| ~ c2_1(X202)
| ~ c0_1(X202)
| c3_1(X202)
| ~ ndr1_0 )
& ( hskp6
| hskp3
| ~ c3_1(X201)
| ~ c1_1(X201)
| c2_1(X201)
| ~ ndr1_0 )
& ( hskp0
| hskp15
| ~ c3_1(X200)
| ~ c0_1(X200)
| c2_1(X200)
| ~ ndr1_0 )
& ( hskp4
| hskp25
| ~ c1_1(X199)
| c3_1(X199)
| c2_1(X199)
| ~ ndr1_0 )
& ( hskp6
| hskp3
| ~ c1_1(X198)
| c3_1(X198)
| c2_1(X198)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X197)
| ~ c2_1(X197)
| ~ c0_1(X197)
| ~ ndr1_0
| ~ c1_1(X196)
| c3_1(X196)
| c2_1(X196)
| ~ ndr1_0 )
& ( hskp24
| ~ c3_1(X195)
| ~ c1_1(X195)
| ~ c0_1(X195)
| ~ ndr1_0
| ~ c1_1(X194)
| c3_1(X194)
| c2_1(X194)
| ~ ndr1_0 )
& ( hskp22
| hskp21
| ~ c0_1(X193)
| c3_1(X193)
| c2_1(X193)
| ~ ndr1_0 )
& ( ~ c3_1(X192)
| ~ c2_1(X192)
| ~ c0_1(X192)
| ~ ndr1_0
| ~ c0_1(X191)
| c3_1(X191)
| c2_1(X191)
| ~ ndr1_0 )
& ( ~ c2_1(X190)
| ~ c0_1(X190)
| c3_1(X190)
| ~ ndr1_0
| ~ c3_1(X189)
| ~ c0_1(X189)
| c2_1(X189)
| ~ ndr1_0
| ~ c3_1(X188)
| ~ c0_1(X188)
| c1_1(X188)
| ~ ndr1_0 )
& ( hskp23
| ~ c2_1(X187)
| ~ c1_1(X187)
| ~ c0_1(X187)
| ~ ndr1_0
| ~ c2_1(X186)
| ~ c0_1(X186)
| c1_1(X186)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X185)
| ~ c1_1(X185)
| c2_1(X185)
| ~ ndr1_0
| ~ c2_1(X184)
| ~ c0_1(X184)
| c1_1(X184)
| ~ ndr1_0 )
& ( hskp7
| ~ c1_1(X183)
| ~ c0_1(X183)
| c2_1(X183)
| ~ ndr1_0
| ~ c2_1(X182)
| ~ c0_1(X182)
| c1_1(X182)
| ~ ndr1_0 )
& ( hskp22
| ~ c1_1(X181)
| c3_1(X181)
| c2_1(X181)
| ~ ndr1_0
| ~ c2_1(X180)
| ~ c0_1(X180)
| c1_1(X180)
| ~ ndr1_0 )
& ( hskp19
| ~ c3_1(X179)
| ~ c2_1(X179)
| c1_1(X179)
| ~ ndr1_0
| ~ c2_1(X178)
| ~ c0_1(X178)
| c1_1(X178)
| ~ ndr1_0 )
& ( hskp21
| hskp29
| ~ c2_1(X177)
| c3_1(X177)
| c1_1(X177)
| ~ ndr1_0 )
& ( hskp20
| hskp13
| ~ c0_1(X176)
| c3_1(X176)
| c1_1(X176)
| ~ ndr1_0 )
& ( hskp13
| ~ c2_1(X175)
| ~ c1_1(X175)
| ~ c0_1(X175)
| ~ ndr1_0
| ~ c0_1(X174)
| c3_1(X174)
| c1_1(X174)
| ~ ndr1_0 )
& ( hskp9
| hskp19
| ~ c3_1(X173)
| c2_1(X173)
| c1_1(X173)
| ~ ndr1_0 )
& ( hskp11
| hskp12
| ~ c0_1(X172)
| c2_1(X172)
| c1_1(X172)
| ~ ndr1_0 )
& ( hskp18
| ~ c2_1(X171)
| ~ c1_1(X171)
| c3_1(X171)
| ~ ndr1_0
| ~ c0_1(X170)
| c2_1(X170)
| c1_1(X170)
| ~ ndr1_0 )
& ( hskp12
| ~ c1_1(X169)
| ~ c0_1(X169)
| c3_1(X169)
| ~ ndr1_0
| ~ c0_1(X168)
| c2_1(X168)
| c1_1(X168)
| ~ ndr1_0 )
& ( hskp17
| ~ c1_1(X167)
| ~ c0_1(X167)
| c2_1(X167)
| ~ ndr1_0
| ~ c0_1(X166)
| c2_1(X166)
| c1_1(X166)
| ~ ndr1_0 )
& ( hskp16
| hskp3
| c3_1(X165)
| c2_1(X165)
| c1_1(X165)
| ~ ndr1_0 )
& ( hskp2
| hskp15
| c3_1(X164)
| c2_1(X164)
| c1_1(X164)
| ~ ndr1_0 )
& ( hskp14
| hskp13
| ~ c3_1(X163)
| ~ c2_1(X163)
| c0_1(X163)
| ~ ndr1_0 )
& ( hskp12
| ~ c2_1(X162)
| ~ c1_1(X162)
| ~ c0_1(X162)
| ~ ndr1_0
| ~ c3_1(X161)
| ~ c2_1(X161)
| c0_1(X161)
| ~ ndr1_0 )
& ( hskp31
| ~ c2_1(X160)
| ~ c0_1(X160)
| c1_1(X160)
| ~ ndr1_0
| ~ c3_1(X159)
| ~ c2_1(X159)
| c0_1(X159)
| ~ ndr1_0 )
& ( ~ c3_1(X158)
| ~ c0_1(X158)
| c2_1(X158)
| ~ ndr1_0
| ~ c2_1(X157)
| c3_1(X157)
| c1_1(X157)
| ~ ndr1_0
| ~ c3_1(X156)
| ~ c2_1(X156)
| c0_1(X156)
| ~ ndr1_0 )
& ( hskp30
| hskp0
| ~ c3_1(X155)
| ~ c1_1(X155)
| c0_1(X155)
| ~ ndr1_0 )
& ( hskp6
| ~ c1_1(X154)
| ~ c0_1(X154)
| c2_1(X154)
| ~ ndr1_0
| ~ c3_1(X153)
| ~ c1_1(X153)
| c0_1(X153)
| ~ ndr1_0 )
& ( hskp9
| hskp10
| ~ c2_1(X152)
| ~ c1_1(X152)
| c0_1(X152)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X151)
| ~ c2_1(X151)
| ~ c0_1(X151)
| ~ ndr1_0
| ~ c2_1(X150)
| c3_1(X150)
| c0_1(X150)
| ~ ndr1_0 )
& ( hskp9
| hskp11
| ~ c1_1(X149)
| c3_1(X149)
| c0_1(X149)
| ~ ndr1_0 )
& ( ~ c3_1(X148)
| ~ c2_1(X148)
| ~ c0_1(X148)
| ~ ndr1_0
| ~ c3_1(X147)
| ~ c1_1(X147)
| ~ c0_1(X147)
| ~ ndr1_0
| ~ c1_1(X146)
| c3_1(X146)
| c0_1(X146)
| ~ ndr1_0 )
& ( hskp11
| ~ c2_1(X145)
| ~ c1_1(X145)
| ~ c0_1(X145)
| ~ ndr1_0
| ~ c1_1(X144)
| c3_1(X144)
| c0_1(X144)
| ~ ndr1_0 )
& ( hskp11
| hskp29
| ~ c3_1(X143)
| c2_1(X143)
| c0_1(X143)
| ~ ndr1_0 )
& ( hskp10
| hskp8
| ~ c1_1(X142)
| c2_1(X142)
| c0_1(X142)
| ~ ndr1_0 )
& ( ~ c3_1(X141)
| ~ c2_1(X141)
| ~ c1_1(X141)
| ~ ndr1_0
| ~ c3_1(X140)
| ~ c2_1(X140)
| c0_1(X140)
| ~ ndr1_0
| ~ c1_1(X139)
| c2_1(X139)
| c0_1(X139)
| ~ ndr1_0 )
& ( ~ c0_1(X138)
| c3_1(X138)
| c1_1(X138)
| ~ ndr1_0
| ~ c3_1(X137)
| c2_1(X137)
| c0_1(X137)
| ~ ndr1_0
| ~ c1_1(X136)
| c2_1(X136)
| c0_1(X136)
| ~ ndr1_0 )
& ( hskp9
| hskp8
| c3_1(X135)
| c2_1(X135)
| c0_1(X135)
| ~ ndr1_0 )
& ( hskp7
| ~ c3_1(X134)
| ~ c0_1(X134)
| c2_1(X134)
| ~ ndr1_0
| c3_1(X133)
| c2_1(X133)
| c0_1(X133)
| ~ ndr1_0 )
& ( ~ c3_1(X132)
| ~ c1_1(X132)
| ~ c0_1(X132)
| ~ ndr1_0
| ~ c1_1(X131)
| ~ c0_1(X131)
| c2_1(X131)
| ~ ndr1_0
| c3_1(X130)
| c2_1(X130)
| c0_1(X130)
| ~ ndr1_0 )
& ( hskp6
| ~ c2_1(X129)
| ~ c0_1(X129)
| c1_1(X129)
| ~ ndr1_0
| c3_1(X128)
| c2_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp2
| hskp5
| ~ c3_1(X127)
| c1_1(X127)
| c0_1(X127)
| ~ ndr1_0 )
& ( hskp1
| ~ c2_1(X126)
| ~ c1_1(X126)
| ~ c0_1(X126)
| ~ ndr1_0
| ~ c3_1(X125)
| c1_1(X125)
| c0_1(X125)
| ~ ndr1_0 )
& ( ~ c3_1(X124)
| ~ c2_1(X124)
| c0_1(X124)
| ~ ndr1_0
| ~ c3_1(X123)
| c1_1(X123)
| c0_1(X123)
| ~ ndr1_0
| ~ c2_1(X122)
| c1_1(X122)
| c0_1(X122)
| ~ ndr1_0 )
& ( hskp2
| hskp28
| c3_1(X121)
| c1_1(X121)
| c0_1(X121)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X120)
| ~ c0_1(X120)
| c2_1(X120)
| ~ ndr1_0
| c3_1(X119)
| c1_1(X119)
| c0_1(X119)
| ~ ndr1_0 )
& ( ~ c1_1(X118)
| ~ c0_1(X118)
| c2_1(X118)
| ~ ndr1_0
| ~ c0_1(X117)
| c3_1(X117)
| c1_1(X117)
| ~ ndr1_0
| c3_1(X116)
| c1_1(X116)
| c0_1(X116)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X115)
| c2_1(X115)
| c1_1(X115)
| ~ ndr1_0
| c3_1(X114)
| c1_1(X114)
| c0_1(X114)
| ~ ndr1_0 )
& ( hskp2
| ~ c2_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113)
| ~ ndr1_0
| c2_1(X112)
| c1_1(X112)
| c0_1(X112)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X111)
| ~ c0_1(X111)
| c1_1(X111)
| ~ ndr1_0
| c2_1(X110)
| c1_1(X110)
| c0_1(X110)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X109)
| c1_1(X109)
| c0_1(X109)
| ~ ndr1_0
| c2_1(X108)
| c1_1(X108)
| c0_1(X108)
| ~ ndr1_0 )
& ( ~ hskp31
| c3_1(a563) )
& ( ~ hskp31
| c1_1(a563) )
& ( ~ hskp31
| c0_1(a563) )
& ( ~ hskp31
| ndr1_0 )
& ( ~ hskp30
| c3_1(a562) )
& ( ~ hskp30
| c2_1(a562) )
& ( ~ hskp30
| c1_1(a562) )
& ( ~ hskp30
| ndr1_0 )
& ( ~ hskp29
| c3_1(a552) )
& ( ~ hskp29
| c2_1(a552) )
& ( ~ hskp29
| c0_1(a552) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c2_1(a541) )
& ( ~ hskp28
| c1_1(a541) )
& ( ~ hskp28
| c0_1(a541) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| ~ c1_1(a615) )
& ( ~ hskp27
| c2_1(a615) )
& ( ~ hskp27
| c0_1(a615) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| ~ c3_1(a604) )
& ( ~ hskp26
| c2_1(a604) )
& ( ~ hskp26
| c1_1(a604) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c1_1(a594) )
& ( ~ hskp25
| ~ c0_1(a594) )
& ( ~ hskp25
| c2_1(a594) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c2_1(a590) )
& ( ~ hskp24
| ~ c0_1(a590) )
& ( ~ hskp24
| c1_1(a590) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c3_1(a587) )
& ( ~ hskp23
| ~ c2_1(a587) )
& ( ~ hskp23
| ~ c0_1(a587) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c2_1(a584) )
& ( ~ hskp22
| ~ c0_1(a584) )
& ( ~ hskp22
| c3_1(a584) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c1_1(a582) )
& ( ~ hskp21
| c3_1(a582) )
& ( ~ hskp21
| c2_1(a582) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c3_1(a580) )
& ( ~ hskp20
| ~ c0_1(a580) )
& ( ~ hskp20
| c1_1(a580) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c3_1(a576) )
& ( ~ hskp19
| ~ c1_1(a576) )
& ( ~ hskp19
| c0_1(a576) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c3_1(a573) )
& ( ~ hskp18
| ~ c1_1(a573) )
& ( ~ hskp18
| ~ c0_1(a573) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c2_1(a571) )
& ( ~ hskp17
| ~ c1_1(a571) )
& ( ~ hskp17
| c0_1(a571) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c3_1(a570) )
& ( ~ hskp16
| ~ c2_1(a570) )
& ( ~ hskp16
| c1_1(a570) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c2_1(a567) )
& ( ~ hskp15
| c1_1(a567) )
& ( ~ hskp15
| c0_1(a567) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c0_1(a566) )
& ( ~ hskp14
| c3_1(a566) )
& ( ~ hskp14
| c2_1(a566) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c2_1(a565) )
& ( ~ hskp13
| c3_1(a565) )
& ( ~ hskp13
| c0_1(a565) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c1_1(a564) )
& ( ~ hskp12
| c3_1(a564) )
& ( ~ hskp12
| c0_1(a564) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c2_1(a553) )
& ( ~ hskp11
| c3_1(a553) )
& ( ~ hskp11
| c1_1(a553) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c0_1(a551) )
& ( ~ hskp10
| c3_1(a551) )
& ( ~ hskp10
| c1_1(a551) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c2_1(a549) )
& ( ~ hskp9
| ~ c1_1(a549) )
& ( ~ hskp9
| ~ c0_1(a549) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c0_1(a548) )
& ( ~ hskp8
| c2_1(a548) )
& ( ~ hskp8
| c1_1(a548) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c3_1(a547) )
& ( ~ hskp7
| ~ c0_1(a547) )
& ( ~ hskp7
| c2_1(a547) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c1_1(a546) )
& ( ~ hskp6
| ~ c0_1(a546) )
& ( ~ hskp6
| c3_1(a546) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c3_1(a544) )
& ( ~ hskp5
| c1_1(a544) )
& ( ~ hskp5
| c0_1(a544) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c2_1(a540) )
& ( ~ hskp4
| ~ c1_1(a540) )
& ( ~ hskp4
| c3_1(a540) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a539) )
& ( ~ hskp3
| ~ c2_1(a539) )
& ( ~ hskp3
| c0_1(a539) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c3_1(a538) )
& ( ~ hskp2
| ~ c2_1(a538) )
& ( ~ hskp2
| ~ c1_1(a538) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c3_1(a537) )
& ( ~ hskp1
| ~ c1_1(a537) )
& ( ~ hskp1
| c2_1(a537) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c3_1(a536) )
& ( ~ hskp0
| c2_1(a536) )
& ( ~ hskp0
| c0_1(a536) )
& ( ~ 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,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp6
| hskp3
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp6
| hskp3
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( hskp2
| hskp6
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X1)
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_11,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).
fof(c_0_12,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_13,negated_conjecture,
( ~ ndr1_0
| hskp16
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| hskp3
| hskp6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_15,negated_conjecture,
( ~ hskp16
| c1_1(a570) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_17,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_18,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_19,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]),c_0_11])]) ).
cnf(c_0_20,negated_conjecture,
( ~ hskp3
| c0_1(a539) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp3
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_11])]) ).
cnf(c_0_23,negated_conjecture,
( ~ hskp16
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp6
| c3_1(a546) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ hskp3
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_23]) ).
cnf(c_0_30,negated_conjecture,
( ~ hskp24
| c1_1(a590) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ hskp24
| ~ c2_1(a590) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp2
| ~ c3_1(a538) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( ~ hskp2
| ~ c2_1(a538) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_34,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_35,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_36,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ hskp6
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_38,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp6
| epred1_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp24
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_30]),c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( hskp2
| hskp9
| hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,negated_conjecture,
( ~ hskp2
| hskp3
| hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_33]) ).
fof(c_0_42,plain,
( ~ epred17_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_43,plain,
( ~ epred43_0
<=> ! [X3] :
( ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_44,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
fof(c_0_45,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_46,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
( ~ c3_1(a549)
| ~ hskp9
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_36]) ).
cnf(c_0_48,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| epred1_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,negated_conjecture,
( hskp2
| hskp3
| hskp6
| hskp9 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( ~ hskp2
| hskp6
| epred1_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_52,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_43]),c_0_11])]) ).
fof(c_0_54,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_55,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| hskp3
| hskp6
| epred6_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( hskp6
| hskp24
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_57,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ ndr1_0
| hskp3
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_58,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_45]) ).
cnf(c_0_59,negated_conjecture,
( ~ hskp21
| c3_1(a582) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( ~ hskp21
| c2_1(a582) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_61,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_63,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp3
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_25]),c_0_29]),c_0_37]) ).
cnf(c_0_64,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_65,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_46]) ).
cnf(c_0_66,negated_conjecture,
( ~ hskp9
| epred1_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_67,negated_conjecture,
( hskp6
| hskp9
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_50]),c_0_51]) ).
cnf(c_0_68,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| epred17_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_69,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_54]) ).
cnf(c_0_70,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_71,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp6
| epred6_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_29]) ).
cnf(c_0_72,negated_conjecture,
( hskp3
| hskp6
| hskp13 ),
inference(spm,[status(thm)],[c_0_39,c_0_56]) ).
cnf(c_0_73,negated_conjecture,
( ~ hskp18
| ~ c1_1(a573) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_74,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp3
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_11])]) ).
cnf(c_0_75,negated_conjecture,
( ~ hskp18
| ~ c0_1(a573) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_76,negated_conjecture,
( ~ hskp18
| ~ c3_1(a573) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_77,negated_conjecture,
( ~ c0_1(a582)
| ~ hskp21
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_78,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_25]),c_0_59]) ).
cnf(c_0_79,negated_conjecture,
( ~ hskp23
| hskp3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_80,negated_conjecture,
( hskp23
| hskp22
| hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_81,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_65,c_0_12]),c_0_45]) ).
cnf(c_0_82,negated_conjecture,
( epred1_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_37]) ).
fof(c_0_83,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp12
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_84,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_85,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_86,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_87,negated_conjecture,
( ~ hskp3
| epred17_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_68]),c_0_20]) ).
fof(c_0_88,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_89,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ ndr1_0
| hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_90,negated_conjecture,
( ~ c2_1(a546)
| ~ hskp6
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_26]),c_0_27]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp6
| c2_1(a546)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_44]),c_0_26]) ).
cnf(c_0_92,negated_conjecture,
( hskp3
| hskp6
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_93,negated_conjecture,
( ~ hskp18
| hskp3
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]) ).
cnf(c_0_94,negated_conjecture,
( hskp18
| hskp24
| hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_95,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_96,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_97,negated_conjecture,
( ~ hskp21
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_98,negated_conjecture,
( hskp3
| hskp21
| hskp22
| epred4_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_99,negated_conjecture,
( ~ epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_100,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp6
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_101,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp12
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_83]),c_0_11])]) ).
cnf(c_0_102,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_84]) ).
cnf(c_0_103,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_85]) ).
cnf(c_0_104,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_86]),c_0_11])]) ).
cnf(c_0_105,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| hskp21
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp2
| ~ c1_1(a538) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_107,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp6
| epred17_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_87,c_0_29]) ).
cnf(c_0_108,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp2
| hskp5
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_109,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp11
| hskp29
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_110,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp0
| hskp15
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_111,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp30
| hskp0
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_112,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_88]),c_0_11])]) ).
cnf(c_0_113,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| hskp10
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_114,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| hskp12
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_115,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| hskp14
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_116,plain,
( ~ epred53_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp2
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_89]),c_0_11])]) ).
fof(c_0_119,plain,
( ~ epred54_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c0_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_120,plain,
( ~ epred52_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c3_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_121,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp6
| epred6_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_123,negated_conjecture,
( hskp6
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_92]) ).
cnf(c_0_124,negated_conjecture,
( hskp3
| hskp24
| epred5_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_125,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp5
| c1_1(a544) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp5
| c0_1(a544) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_128,negated_conjecture,
( ~ hskp5
| ~ c3_1(a544) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp12
| c3_1(a564) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp12
| c0_1(a564) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_131,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_96]) ).
cnf(c_0_132,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_133,negated_conjecture,
( hskp3
| hskp22
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_134,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_135,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_136,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_137,negated_conjecture,
( ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X3)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_138,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp6
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_139,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp12
| c3_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_140,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_141,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp3
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_142,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_143,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp6
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_100]),c_0_11])]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp3
| c1_1(a539)
| hskp12
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_20]),c_0_21]) ).
cnf(c_0_145,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred4_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_25]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp22
| c3_1(a584) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_147,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c0_1(X1)
| c2_1(X1)
| epred3_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_148,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21
| hskp22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_11])]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp2
| hskp0
| c0_1(a538)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_104]),c_0_33]) ).
cnf(c_0_150,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| epred4_0
| epred17_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_107]) ).
cnf(c_0_151,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp2
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_11])]) ).
cnf(c_0_152,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp11
| hskp29 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_11])]) ).
cnf(c_0_153,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp0
| c2_1(X1)
| hskp15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_11])]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp13
| c3_1(a565) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_155,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| hskp0
| c0_1(X1)
| hskp30 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_11])]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp11
| c1_1(a553) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_157,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| epred3_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_104]) ).
cnf(c_0_158,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| hskp9
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_11])]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp26
| c1_1(a604) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_160,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp12
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_11])]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp0
| c2_1(a536) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_162,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp14
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_11])]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp26
| c2_1(a604) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_165,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_11])]) ).
cnf(c_0_166,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_11])]) ).
cnf(c_0_167,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| epred3_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_104]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp15
| c1_1(a567) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp15
| c0_1(a567) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp6
| c2_1(a546)
| hskp2
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_118]),c_0_27]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_175,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp0
| c0_1(a536) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_177,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_120]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp30
| c1_1(a562) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp30
| c2_1(a562) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp30
| c3_1(a562) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_181,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred45_0 ),
inference(split_equiv,[status(thm)],[c_0_121]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp6
| hskp0
| c2_1(a546)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_104]),c_0_27]) ).
cnf(c_0_183,negated_conjecture,
( epred1_0
| epred6_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp14
| c3_1(a566) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp14
| c2_1(a566) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp21
| c0_1(a582)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_59]),c_0_60]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp10
| c1_1(a551) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp10
| c3_1(a551) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_191,negated_conjecture,
( ~ c0_1(a538)
| ~ hskp2
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_33]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp2
| c0_1(a538)
| hskp3
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_74]),c_0_32]) ).
cnf(c_0_193,negated_conjecture,
( hskp3
| hskp6
| epred5_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_124]) ).
cnf(c_0_194,negated_conjecture,
( ~ c2_1(a544)
| ~ hskp5
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp5
| c2_1(a544)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_19]),c_0_127]) ).
cnf(c_0_196,negated_conjecture,
( ~ c2_1(a564)
| ~ hskp12
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_129]),c_0_130]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp12
| c2_1(a564)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_129]),c_0_130]) ).
cnf(c_0_198,negated_conjecture,
( c0_1(a584)
| hskp3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_63]),c_0_133]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp29
| c3_1(a552) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp29
| c0_1(a552) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp29
| c2_1(a552) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_202,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred4_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_25]) ).
cnf(c_0_203,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X3)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_134]) ).
cnf(c_0_204,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_135]) ).
cnf(c_0_205,negated_conjecture,
( ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| c0_1(X2)
| c0_1(X3) ),
inference(cn,[status(thm)],[c_0_136]) ).
cnf(c_0_206,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c3_1(X3)
| c2_1(X1)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_137]) ).
cnf(c_0_207,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X1)
| hskp6 ),
inference(cn,[status(thm)],[c_0_138]) ).
cnf(c_0_208,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X2)
| c2_1(X1)
| hskp12 ),
inference(cn,[status(thm)],[c_0_139]) ).
cnf(c_0_209,negated_conjecture,
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[c_0_140]) ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[c_0_141]) ).
cnf(c_0_211,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1)
| c0_1(X2)
| hskp0 ),
inference(cn,[status(thm)],[c_0_142]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp3
| ~ c0_1(a539)
| hskp12
| epred16_0
| c2_1(a539)
| hskp6
| epred28_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp22
| c0_1(a584)
| c2_1(a584)
| epred4_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp22
| hskp0
| c0_1(a584)
| c2_1(a584)
| epred3_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_147,c_0_146]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp2
| hskp0
| epred3_0
| c2_1(a538)
| c3_1(a538)
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp3
| c2_1(a539)
| epred4_0
| epred17_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_150]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp6
| c0_1(a546)
| c1_1(a546)
| hskp2
| hskp5 ),
inference(spm,[status(thm)],[c_0_151,c_0_26]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp22
| c0_1(a584)
| c2_1(a584)
| hskp11
| hskp29 ),
inference(spm,[status(thm)],[c_0_152,c_0_146]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp3
| c2_1(a539)
| c3_1(a539)
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_148,c_0_20]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp12
| ~ c0_1(a564)
| hskp0
| c2_1(a564)
| hskp15 ),
inference(spm,[status(thm)],[c_0_153,c_0_129]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp13
| ~ c0_1(a565)
| hskp0
| c2_1(a565)
| hskp15 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp11
| ~ c3_1(a553)
| hskp0
| c0_1(a553)
| hskp30 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp24
| hskp0
| c0_1(a590)
| epred3_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_31,c_0_157]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp26
| ~ c2_1(a604)
| c0_1(a604)
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp0
| ~ c0_1(a536)
| c3_1(a536)
| hskp12
| hskp21 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp26
| ~ c0_1(a604)
| c3_1(a604)
| hskp14
| hskp21 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_227,negated_conjecture,
( ~ c0_1(a564)
| ~ c3_1(a564)
| ~ hskp12
| epred53_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_228,negated_conjecture,
( ~ c2_1(a546)
| ~ hskp6
| c0_1(a546)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_166]) ).
cnf(c_0_229,negated_conjecture,
( ~ c2_1(a582)
| ~ hskp21
| c0_1(a582)
| epred48_0 ),
inference(spm,[status(thm)],[c_0_61,c_0_166]) ).
cnf(c_0_230,negated_conjecture,
( ~ c0_1(a538)
| ~ hskp2
| c3_1(a538)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_53]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp22
| hskp0
| epred3_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_167]),c_0_168]) ).
cnf(c_0_232,negated_conjecture,
( ~ c0_1(a553)
| ~ hskp11
| hskp6
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_156]),c_0_169]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp15
| hskp6
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_170]),c_0_171]),c_0_172]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp6
| hskp2
| epred14_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_173]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp0
| epred54_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_161]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp30
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_180]) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp22
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_146]),c_0_168]),c_0_132]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp6
| hskp0
| epred3_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_182]) ).
cnf(c_0_239,negated_conjecture,
( ~ epred2_0
| epred6_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_183]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp14
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_184]),c_0_185]),c_0_186]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp21
| epred2_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_187]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp10
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_188]),c_0_189]),c_0_190]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp2
| epred1_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_28]) ).
cnf(c_0_244,negated_conjecture,
( hskp6
| epred1_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_193]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp5
| epred1_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp12
| epred2_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_247,negated_conjecture,
( hskp3
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_198]),c_0_133]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp9
| hskp0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_104]),c_0_36]),c_0_49]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp29
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp22
| epred4_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_146]),c_0_168]) ).
cnf(c_0_251,negated_conjecture,
( ~ epred10_0
| ~ epred53_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_116]),c_0_119]),c_0_96]) ).
cnf(c_0_252,negated_conjecture,
( ~ epred39_0
| ~ epred51_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_204,c_0_88]),c_0_54]),c_0_120]) ).
cnf(c_0_253,negated_conjecture,
( ~ epred4_0
| ~ epred39_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_205,c_0_117]),c_0_17]),c_0_54]) ).
cnf(c_0_254,negated_conjecture,
( ~ epred43_0
| ~ epred44_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_206,c_0_43]),c_0_84]),c_0_121]) ).
cnf(c_0_255,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_207,c_0_100]),c_0_85]) ).
cnf(c_0_256,negated_conjecture,
( ~ epred16_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_208,c_0_83]),c_0_42]) ).
cnf(c_0_257,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_209,c_0_89]),c_0_95]) ).
cnf(c_0_258,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_210,c_0_57]),c_0_34]) ).
cnf(c_0_259,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_211,c_0_86]),c_0_17]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp26
| ~ c3_1(a604) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp24
| ~ c0_1(a590) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp11
| c3_1(a553) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp13
| c0_1(a565) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_264,negated_conjecture,
( hskp6
| hskp14
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_265,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_212,c_0_213,c_0_214,c_0_215,c_0_216,c_0_217,c_0_218,c_0_219,c_0_220,c_0_221,c_0_222,c_0_223,c_0_224,c_0_225,c_0_226,c_0_227,c_0_228,c_0_229,c_0_230,c_0_231,c_0_232,c_0_233,c_0_234,c_0_173,c_0_235,c_0_236,c_0_237,c_0_238,c_0_239,c_0_240,c_0_241,c_0_242,c_0_243,c_0_244,c_0_245,c_0_246,c_0_247,c_0_149,c_0_91,c_0_182,c_0_248,c_0_99,c_0_37,c_0_97,c_0_196,c_0_77,c_0_249,c_0_123,c_0_250,c_0_50,c_0_251,c_0_252,c_0_253,c_0_254,c_0_255,c_0_256,c_0_257,c_0_258,c_0_259,c_0_81,c_0_260,c_0_261,c_0_132,c_0_168,c_0_70,c_0_24,c_0_27,c_0_18,c_0_21,c_0_32,c_0_33,c_0_174,c_0_129,c_0_262,c_0_163,c_0_60,c_0_263,c_0_130,c_0_20,c_0_176,c_0_264,c_0_40,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN510+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n016.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 11:09:07 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 18.80/3.43 % Version: 3.5.1
% 18.80/3.43 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.80/3.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.80/3.43 % Starting new_bool_3 with 300s (1) cores
% 18.80/3.43 % Starting new_bool_1 with 300s (1) cores
% 18.80/3.43 % Starting sh5l with 300s (1) cores
% 18.80/3.43 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2278101 completed with status 0
% 18.80/3.43 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.80/3.43 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.80/3.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.80/3.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.80/3.43 % No SInE strategy applied
% 18.80/3.43 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.80/3.43 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.80/3.43 % Starting SubtermCWHack with 151s (1) cores
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.80/3.43 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 18.80/3.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 18.80/3.43 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2278108 completed with status 0
% 18.80/3.43 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 18.80/3.43 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.80/3.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.80/3.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.80/3.43 % No SInE strategy applied
% 18.80/3.43 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.80/3.43 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.80/3.43 % Starting SubtermCWHack with 151s (1) cores
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.80/3.43 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.80/3.43 % Preprocessing time : 0.004 s
% 18.80/3.43 % SatCheck found unsatisfiable ground set
% 18.80/3.43
% 18.80/3.43 % Proof found!
% 18.80/3.43 % SZS status Theorem
% 18.80/3.43 % SZS output start CNFRefutation
% See solution above
% 18.80/3.43 % Parsed axioms : 1
% 18.80/3.43 % Removed by relevancy pruning/SinE : 0
% 18.80/3.43 % Initial clauses : 208
% 18.80/3.43 % Removed in clause preprocessing : 0
% 18.80/3.43 % Initial clauses in saturation : 208
% 18.80/3.43 % Processed clauses : 8120
% 18.80/3.43 % ...of these trivial : 0
% 18.80/3.43 % ...subsumed : 3120
% 18.80/3.43 % ...remaining for further processing : 5000
% 18.80/3.43 % Other redundant clauses eliminated : 0
% 18.80/3.43 % Clauses deleted for lack of memory : 0
% 18.80/3.43 % Backward-subsumed : 1197
% 18.80/3.43 % Backward-rewritten : 62
% 18.80/3.43 % Generated clauses : 44572
% 18.80/3.43 % ...of the previous two non-redundant : 41216
% 18.80/3.43 % ...aggressively subsumed : 0
% 18.80/3.43 % Contextual simplify-reflections : 737
% 18.80/3.43 % Paramodulations : 44483
% 18.80/3.43 % Factorizations : 0
% 18.80/3.43 % NegExts : 0
% 18.80/3.43 % Equation resolutions : 0
% 18.80/3.43 % Disequality decompositions : 0
% 18.80/3.43 % Total rewrite steps : 96
% 18.80/3.43 % ...of those cached : 95
% 18.80/3.43 % Propositional unsat checks : 1
% 18.80/3.43 % Propositional check models : 0
% 18.80/3.43 % Propositional check unsatisfiable : 1
% 18.80/3.43 % Propositional clauses : 36207
% 18.80/3.43 % Propositional clauses after purity: 35659
% 18.80/3.43 % Propositional unsat core size : 83
% 18.80/3.43 % Propositional preprocessing time : 0.000
% 18.80/3.43 % Propositional encoding time : 0.029
% 18.80/3.43 % Propositional solver time : 0.088
% 18.80/3.43 % Success case prop preproc time : 0.000
% 18.80/3.43 % Success case prop encoding time : 0.029
% 18.80/3.43 % Success case prop solver time : 0.088
% 18.80/3.43 % Current number of processed clauses : 3707
% 18.80/3.43 % Positive orientable unit clauses : 1
% 18.80/3.43 % Positive unorientable unit clauses: 0
% 18.80/3.43 % Negative unit clauses : 0
% 18.80/3.43 % Non-unit-clauses : 3706
% 18.80/3.43 % Current number of unprocessed clauses: 32500
% 18.80/3.43 % ...number of literals in the above : 218297
% 18.80/3.43 % Current number of archived formulas : 0
% 18.80/3.43 % Current number of archived clauses : 1259
% 18.80/3.43 % Clause-clause subsumption calls (NU) : 3670448
% 18.80/3.43 % Rec. Clause-clause subsumption calls : 205853
% 18.80/3.43 % Non-unit clause-clause subsumptions : 5096
% 18.80/3.43 % Unit Clause-clause subsumption calls : 2
% 18.80/3.43 % Rewrite failures with RHS unbound : 0
% 18.80/3.43 % BW rewrite match attempts : 1
% 18.80/3.43 % BW rewrite match successes : 1
% 18.80/3.43 % Condensation attempts : 8120
% 18.80/3.43 % Condensation successes : 0
% 18.80/3.43 % Termbank termtop insertions : 427546
% 18.80/3.43 % Search garbage collected termcells : 2092
% 18.80/3.43
% 18.80/3.43 % -------------------------------------------------
% 18.80/3.43 % User time : 2.694 s
% 18.80/3.43 % System time : 0.076 s
% 18.80/3.43 % Total time : 2.770 s
% 18.80/3.43 % Maximum resident set size: 4184 pages
% 18.80/3.43
% 18.80/3.43 % -------------------------------------------------
% 18.80/3.43 % User time : 13.086 s
% 18.80/3.43 % System time : 0.347 s
% 18.80/3.43 % Total time : 13.433 s
% 18.80/3.43 % Maximum resident set size: 5120 pages
% 18.80/3.43 % E exiting
%------------------------------------------------------------------------------