%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN474+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 : n001.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 03:24:59 PM UTC 2026
% Result : Theorem 22.63s 3.76s
% Output : CNFRefutation 22.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 52
% Syntax : Number of formulae : 573 ( 2 unt; 0 def)
% Number of atoms : 5358 ( 0 equ)
% Maximal formula atoms : 810 ( 9 avg)
% Number of connectives : 7037 (2252 ~;3599 |; 796 &)
% ( 51 <=>; 339 =>; 0 <=; 0 <~>)
% Maximal formula depth : 315 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 89 ( 88 usr; 85 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 725 ( 0 sgn 503 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp9
| hskp7
| hskp27 )
& ( hskp22
| hskp26
| hskp23 )
& ( hskp25
| hskp24
| hskp3 )
& ( hskp17
| hskp22
| hskp28 )
& ( hskp19
| hskp22
| hskp15 )
& ( hskp25
| hskp21
| hskp0 )
& ( hskp9
| hskp12
| hskp0 )
& ( hskp27
| hskp31
| hskp29 )
& ( hskp2
| hskp13
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c2_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp10
| hskp16
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c0_1(X112)
| c3_1(X112) ) ) )
& ( hskp9
| ! [X111] :
( ndr1_0
=> ( ~ c2_1(X111)
| ~ c1_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c0_1(X110)
| c3_1(X110) ) ) )
& ( hskp17
| hskp26
| ! [X109] :
( ndr1_0
=> ( ~ c1_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp21
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp13
| hskp1
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c1_1(X106)
| c2_1(X106) ) ) )
& ( hskp6
| hskp12
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c1_1(X105)
| c2_1(X105) ) ) )
& ( hskp5
| hskp1
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c0_1(X104)
| c2_1(X104) ) ) )
& ( hskp0
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp20
| hskp1
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp25
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp31
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) )
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| c3_1(X98)
| c2_1(X98) ) ) )
& ( hskp7
| hskp10
| ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| c3_1(X97)
| c2_1(X97) ) ) )
& ( hskp17
| hskp24
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c2_1(X96)
| c1_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| c1_1(X94) ) ) )
& ( hskp18
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c0_1(X92)
| c1_1(X92) ) ) )
& ( hskp23
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c2_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c0_1(X90)
| c1_1(X90) ) ) )
& ( hskp7
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c0_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c0_1(X88)
| c1_1(X88) ) ) )
& ( ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c1_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c0_1(X85)
| c1_1(X85) ) ) )
& ( hskp15
| hskp29
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp21
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp12
| hskp18
| ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| c3_1(X81)
| c1_1(X81) ) ) )
& ( hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| c3_1(X80)
| c2_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( hskp12
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp1
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c2_1(X76)
| ~ c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c0_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c0_1(X73)
| c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp22
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c2_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| ~ c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp20
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c0_1(X68)
| c3_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| c3_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c1_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp10
| hskp12
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp14
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp9
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| ~ c0_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp15
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp14
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ) ) )
& ( hskp19
| hskp18
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| c3_1(X54)
| c0_1(X54) ) ) )
& ( hskp17
| hskp0
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp7
| hskp4
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp9
| hskp16
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp5
| hskp15
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp1
| hskp30
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c0_1(X46) ) ) )
& ( hskp14
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c3_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp12
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp4
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c0_1(X41)
| c3_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| ~ c0_1(X37)
| c2_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c0_1(X36)
| c1_1(X36) ) )
| ! [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)
| c3_1(X33)
| c1_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp29
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c0_1(X28)
| c3_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp10
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c1_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ~ c0_1(X21)
| c3_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp9
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c1_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( hskp8
| hskp7
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp6
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c0_1(X14)
| c2_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp3
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ~ c0_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp1
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| ~ c0_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp2
| hskp28
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c2_1(X6)
| c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| hskp0
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a957)
& c2_1(a957)
& c1_1(a957)
& ndr1_0 )
| ~ hskp31 )
& ( ( c2_1(a919)
& c1_1(a919)
& c0_1(a919)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a911)
& c1_1(a911)
& c0_1(a911)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a900)
& c2_1(a900)
& c0_1(a900)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c0_1(a978)
& c3_1(a978)
& c2_1(a978)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c2_1(a969)
& ~ c1_1(a969)
& c0_1(a969)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a958)
& ~ c1_1(a958)
& ~ c0_1(a958)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a953)
& c3_1(a953)
& c1_1(a953)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a950)
& c3_1(a950)
& c0_1(a950)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a939)
& ~ c0_1(a939)
& c1_1(a939)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a938)
& ~ c2_1(a938)
& c0_1(a938)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a937)
& ~ c0_1(a937)
& c2_1(a937)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a930)
& ~ c0_1(a930)
& c2_1(a930)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a929)
& c2_1(a929)
& c0_1(a929)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a928)
& ~ c2_1(a928)
& c1_1(a928)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a923)
& c2_1(a923)
& c1_1(a923)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a921)
& c1_1(a921)
& c0_1(a921)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a918)
& c3_1(a918)
& c0_1(a918)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a914)
& ~ c1_1(a914)
& c3_1(a914)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a913)
& ~ c1_1(a913)
& c0_1(a913)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a912)
& ~ c2_1(a912)
& ~ c1_1(a912)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a910)
& ~ c0_1(a910)
& c1_1(a910)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a909)
& ~ c1_1(a909)
& ~ c0_1(a909)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a908)
& ~ c0_1(a908)
& c3_1(a908)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a907)
& ~ c0_1(a907)
& c3_1(a907)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a906)
& c3_1(a906)
& c2_1(a906)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a905)
& c3_1(a905)
& c1_1(a905)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a904)
& ~ c1_1(a904)
& c2_1(a904)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a903)
& c2_1(a903)
& c0_1(a903)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a901)
& ~ c2_1(a901)
& ~ c0_1(a901)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a899)
& c2_1(a899)
& c1_1(a899)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a898)
& c1_1(a898)
& c0_1(a898)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp9
| hskp7
| hskp27 )
& ( hskp22
| hskp26
| hskp23 )
& ( hskp25
| hskp24
| hskp3 )
& ( hskp17
| hskp22
| hskp28 )
& ( hskp19
| hskp22
| hskp15 )
& ( hskp25
| hskp21
| hskp0 )
& ( hskp9
| hskp12
| hskp0 )
& ( hskp27
| hskp31
| hskp29 )
& ( hskp2
| hskp13
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c2_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp10
| hskp16
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c0_1(X112)
| c3_1(X112) ) ) )
& ( hskp9
| ! [X111] :
( ndr1_0
=> ( ~ c2_1(X111)
| ~ c1_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c0_1(X110)
| c3_1(X110) ) ) )
& ( hskp17
| hskp26
| ! [X109] :
( ndr1_0
=> ( ~ c1_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp21
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp13
| hskp1
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c1_1(X106)
| c2_1(X106) ) ) )
& ( hskp6
| hskp12
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c1_1(X105)
| c2_1(X105) ) ) )
& ( hskp5
| hskp1
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c0_1(X104)
| c2_1(X104) ) ) )
& ( hskp0
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp20
| hskp1
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp25
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp31
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) )
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| c3_1(X98)
| c2_1(X98) ) ) )
& ( hskp7
| hskp10
| ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| c3_1(X97)
| c2_1(X97) ) ) )
& ( hskp17
| hskp24
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c2_1(X96)
| c1_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| c1_1(X94) ) ) )
& ( hskp18
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c0_1(X92)
| c1_1(X92) ) ) )
& ( hskp23
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c2_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c0_1(X90)
| c1_1(X90) ) ) )
& ( hskp7
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c0_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c0_1(X88)
| c1_1(X88) ) ) )
& ( ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c1_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c0_1(X85)
| c1_1(X85) ) ) )
& ( hskp15
| hskp29
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp21
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp12
| hskp18
| ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| c3_1(X81)
| c1_1(X81) ) ) )
& ( hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| c3_1(X80)
| c2_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( hskp12
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp1
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c2_1(X76)
| ~ c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c0_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c0_1(X73)
| c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp22
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c2_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| ~ c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp20
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c0_1(X68)
| c3_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| c3_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c1_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp10
| hskp12
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp14
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp9
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| ~ c0_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp15
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp14
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ) ) )
& ( hskp19
| hskp18
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| c3_1(X54)
| c0_1(X54) ) ) )
& ( hskp17
| hskp0
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp7
| hskp4
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp9
| hskp16
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp5
| hskp15
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp1
| hskp30
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c0_1(X46) ) ) )
& ( hskp14
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c3_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp12
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp4
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c0_1(X41)
| c3_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| ~ c0_1(X37)
| c2_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c0_1(X36)
| c1_1(X36) ) )
| ! [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)
| c3_1(X33)
| c1_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp29
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c0_1(X28)
| c3_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp10
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c1_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ~ c0_1(X21)
| c3_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp9
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c1_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( hskp8
| hskp7
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp6
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c0_1(X14)
| c2_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp3
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ~ c0_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp1
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| ~ c0_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp2
| hskp28
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c2_1(X6)
| c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| hskp0
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a957)
& c2_1(a957)
& c1_1(a957)
& ndr1_0 )
| ~ hskp31 )
& ( ( c2_1(a919)
& c1_1(a919)
& c0_1(a919)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a911)
& c1_1(a911)
& c0_1(a911)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a900)
& c2_1(a900)
& c0_1(a900)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c0_1(a978)
& c3_1(a978)
& c2_1(a978)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c2_1(a969)
& ~ c1_1(a969)
& c0_1(a969)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a958)
& ~ c1_1(a958)
& ~ c0_1(a958)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a953)
& c3_1(a953)
& c1_1(a953)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a950)
& c3_1(a950)
& c0_1(a950)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a939)
& ~ c0_1(a939)
& c1_1(a939)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a938)
& ~ c2_1(a938)
& c0_1(a938)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a937)
& ~ c0_1(a937)
& c2_1(a937)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a930)
& ~ c0_1(a930)
& c2_1(a930)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a929)
& c2_1(a929)
& c0_1(a929)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a928)
& ~ c2_1(a928)
& c1_1(a928)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a923)
& c2_1(a923)
& c1_1(a923)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a921)
& c1_1(a921)
& c0_1(a921)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a918)
& c3_1(a918)
& c0_1(a918)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a914)
& ~ c1_1(a914)
& c3_1(a914)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a913)
& ~ c1_1(a913)
& c0_1(a913)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a912)
& ~ c2_1(a912)
& ~ c1_1(a912)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a910)
& ~ c0_1(a910)
& c1_1(a910)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a909)
& ~ c1_1(a909)
& ~ c0_1(a909)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a908)
& ~ c0_1(a908)
& c3_1(a908)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a907)
& ~ c0_1(a907)
& c3_1(a907)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a906)
& c3_1(a906)
& c2_1(a906)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a905)
& c3_1(a905)
& c1_1(a905)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a904)
& ~ c1_1(a904)
& c2_1(a904)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a903)
& c2_1(a903)
& c0_1(a903)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a901)
& ~ c2_1(a901)
& ~ c0_1(a901)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a899)
& c2_1(a899)
& c1_1(a899)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a898)
& c1_1(a898)
& c0_1(a898)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp9
| hskp7
| hskp27 )
& ( hskp22
| hskp26
| hskp23 )
& ( hskp25
| hskp24
| hskp3 )
& ( hskp17
| hskp22
| hskp28 )
& ( hskp19
| hskp22
| hskp15 )
& ( hskp25
| hskp21
| hskp0 )
& ( hskp9
| hskp12
| hskp0 )
& ( hskp27
| hskp31
| hskp29 )
& ( hskp2
| hskp13
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c2_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp10
| hskp16
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c0_1(X112)
| c3_1(X112) ) ) )
& ( hskp9
| ! [X111] :
( ndr1_0
=> ( ~ c2_1(X111)
| ~ c1_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c0_1(X110)
| c3_1(X110) ) ) )
& ( hskp17
| hskp26
| ! [X109] :
( ndr1_0
=> ( ~ c1_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp21
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c0_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c1_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp13
| hskp1
| ! [X106] :
( ndr1_0
=> ( ~ c3_1(X106)
| ~ c1_1(X106)
| c2_1(X106) ) ) )
& ( hskp6
| hskp12
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c1_1(X105)
| c2_1(X105) ) ) )
& ( hskp5
| hskp1
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c0_1(X104)
| c2_1(X104) ) ) )
& ( hskp0
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c2_1(X103)
| ~ c0_1(X103) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c3_1(X102)
| ~ c0_1(X102)
| c2_1(X102) ) ) )
& ( hskp20
| hskp1
| ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c0_1(X101)
| c2_1(X101) ) ) )
& ( hskp25
| ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| c3_1(X100)
| c2_1(X100) ) ) )
& ( hskp31
| ! [X99] :
( ndr1_0
=> ( ~ c1_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) )
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| c3_1(X98)
| c2_1(X98) ) ) )
& ( hskp7
| hskp10
| ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| c3_1(X97)
| c2_1(X97) ) ) )
& ( hskp17
| hskp24
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c2_1(X96)
| c1_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| c1_1(X94) ) ) )
& ( hskp18
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c0_1(X92)
| c1_1(X92) ) ) )
& ( hskp23
| ! [X91] :
( ndr1_0
=> ( ~ c3_1(X91)
| ~ c2_1(X91)
| ~ c0_1(X91) ) )
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c0_1(X90)
| c1_1(X90) ) ) )
& ( hskp7
| ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c0_1(X89)
| c2_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c0_1(X88)
| c1_1(X88) ) ) )
& ( ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c1_1(X87)
| c2_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| ~ c0_1(X85)
| c1_1(X85) ) ) )
& ( hskp15
| hskp29
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp21
| ! [X83] :
( ndr1_0
=> ( ~ c1_1(X83)
| ~ c0_1(X83)
| c2_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp12
| hskp18
| ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| c3_1(X81)
| c1_1(X81) ) ) )
& ( hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| c3_1(X80)
| c2_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( hskp12
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c3_1(X78)
| c1_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| c2_1(X77)
| c1_1(X77) ) ) )
& ( hskp1
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c2_1(X76)
| ~ c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c2_1(X75)
| c1_1(X75) ) ) )
& ( hskp22
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c0_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c0_1(X73)
| c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp22
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c2_1(X71)
| c1_1(X71) ) ) )
& ( hskp21
| ! [X70] :
( ndr1_0
=> ( ~ c2_1(X70)
| ~ c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c2_1(X69)
| c1_1(X69) ) ) )
& ( hskp20
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| ~ c0_1(X68)
| c3_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| c2_1(X67)
| c1_1(X67) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| c3_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| c2_1(X65)
| c1_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c0_1(X64) ) ) )
& ( hskp10
| hskp12
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c1_1(X63)
| c0_1(X63) ) ) )
& ( hskp14
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| c3_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp9
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| ~ c0_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp15
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ) ) )
& ( hskp14
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ) ) )
& ( hskp19
| hskp18
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| c3_1(X54)
| c0_1(X54) ) ) )
& ( hskp17
| hskp0
| ! [X53] :
( ndr1_0
=> ( ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ) ) )
& ( hskp7
| hskp4
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| c3_1(X51)
| c1_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c3_1(X50)
| ~ c2_1(X50)
| c0_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c1_1(X49)
| c3_1(X49)
| c0_1(X49) ) ) )
& ( hskp9
| hskp16
| ! [X48] :
( ndr1_0
=> ( ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ) ) )
& ( hskp5
| hskp15
| ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| c2_1(X47)
| c0_1(X47) ) ) )
& ( hskp1
| hskp30
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c0_1(X46) ) ) )
& ( hskp14
| ! [X45] :
( ndr1_0
=> ( ~ c2_1(X45)
| ~ c1_1(X45)
| c3_1(X45) ) )
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp12
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp4
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| ~ c0_1(X41)
| c3_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp8
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| c3_1(X39)
| c2_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| ~ c0_1(X37)
| c2_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| ~ c0_1(X36)
| c1_1(X36) ) )
| ! [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)
| c3_1(X33)
| c1_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp13
| hskp12
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp11
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| ~ c1_1(X30)
| ~ c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp29
| ! [X28] :
( ndr1_0
=> ( ~ c1_1(X28)
| ~ c0_1(X28)
| c3_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp10
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c1_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c2_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| ~ c0_1(X21)
| c3_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| ~ c2_1(X20)
| c1_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp9
| ! [X18] :
( ndr1_0
=> ( c3_1(X18)
| c2_1(X18)
| c1_1(X18) ) )
| ! [X17] :
( ndr1_0
=> ( c3_1(X17)
| c2_1(X17)
| c0_1(X17) ) ) )
& ( hskp8
| hskp7
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp6
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c0_1(X14)
| c2_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp3
| ! [X12] :
( ndr1_0
=> ( ~ c2_1(X12)
| ~ c0_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c3_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( hskp1
| ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| ~ c0_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp2
| hskp28
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| c2_1(X6)
| c0_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp1
| hskp0
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a957)
& c2_1(a957)
& c1_1(a957)
& ndr1_0 )
| ~ hskp31 )
& ( ( c2_1(a919)
& c1_1(a919)
& c0_1(a919)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a911)
& c1_1(a911)
& c0_1(a911)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a900)
& c2_1(a900)
& c0_1(a900)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c0_1(a978)
& c3_1(a978)
& c2_1(a978)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c2_1(a969)
& ~ c1_1(a969)
& c0_1(a969)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a958)
& ~ c1_1(a958)
& ~ c0_1(a958)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a953)
& c3_1(a953)
& c1_1(a953)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a950)
& c3_1(a950)
& c0_1(a950)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a939)
& ~ c0_1(a939)
& c1_1(a939)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a938)
& ~ c2_1(a938)
& c0_1(a938)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a937)
& ~ c0_1(a937)
& c2_1(a937)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a930)
& ~ c0_1(a930)
& c2_1(a930)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a929)
& c2_1(a929)
& c0_1(a929)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a928)
& ~ c2_1(a928)
& c1_1(a928)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a923)
& c2_1(a923)
& c1_1(a923)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a921)
& c1_1(a921)
& c0_1(a921)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c1_1(a918)
& c3_1(a918)
& c0_1(a918)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c2_1(a914)
& ~ c1_1(a914)
& c3_1(a914)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a913)
& ~ c1_1(a913)
& c0_1(a913)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a912)
& ~ c2_1(a912)
& ~ c1_1(a912)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a910)
& ~ c0_1(a910)
& c1_1(a910)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a909)
& ~ c1_1(a909)
& ~ c0_1(a909)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a908)
& ~ c0_1(a908)
& c3_1(a908)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a907)
& ~ c0_1(a907)
& c3_1(a907)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c1_1(a906)
& c3_1(a906)
& c2_1(a906)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c0_1(a905)
& c3_1(a905)
& c1_1(a905)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a904)
& ~ c1_1(a904)
& c2_1(a904)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a903)
& c2_1(a903)
& c0_1(a903)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a901)
& ~ c2_1(a901)
& ~ c0_1(a901)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a899)
& c2_1(a899)
& c1_1(a899)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a898)
& c1_1(a898)
& c0_1(a898)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_4,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
! [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,X225,X226] :
( ( hskp9
| hskp7
| hskp27 )
& ( hskp22
| hskp26
| hskp23 )
& ( hskp25
| hskp24
| hskp3 )
& ( hskp17
| hskp22
| hskp28 )
& ( hskp19
| hskp22
| hskp15 )
& ( hskp25
| hskp21
| hskp0 )
& ( hskp9
| hskp12
| hskp0 )
& ( hskp27
| hskp31
| hskp29 )
& ( hskp2
| hskp13
| ~ c3_1(X226)
| ~ c2_1(X226)
| ~ c0_1(X226)
| ~ ndr1_0 )
& ( hskp10
| hskp16
| ~ c2_1(X225)
| ~ c0_1(X225)
| c3_1(X225)
| ~ ndr1_0 )
& ( hskp9
| ~ c2_1(X224)
| ~ c1_1(X224)
| ~ c0_1(X224)
| ~ ndr1_0
| ~ c2_1(X223)
| ~ c0_1(X223)
| c3_1(X223)
| ~ ndr1_0 )
& ( hskp17
| hskp26
| ~ c1_1(X222)
| ~ c0_1(X222)
| c3_1(X222)
| ~ ndr1_0 )
& ( hskp21
| ~ c3_1(X221)
| ~ c2_1(X221)
| ~ c0_1(X221)
| ~ ndr1_0
| ~ c1_1(X220)
| ~ c0_1(X220)
| c3_1(X220)
| ~ ndr1_0 )
& ( hskp13
| hskp1
| ~ c3_1(X219)
| ~ c1_1(X219)
| c2_1(X219)
| ~ ndr1_0 )
& ( hskp6
| hskp12
| ~ c3_1(X218)
| ~ c1_1(X218)
| c2_1(X218)
| ~ ndr1_0 )
& ( hskp5
| hskp1
| ~ c3_1(X217)
| ~ c0_1(X217)
| c2_1(X217)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X216)
| ~ c2_1(X216)
| ~ c0_1(X216)
| ~ ndr1_0
| ~ c3_1(X215)
| ~ c0_1(X215)
| c2_1(X215)
| ~ ndr1_0 )
& ( hskp20
| hskp1
| ~ c1_1(X214)
| ~ c0_1(X214)
| c2_1(X214)
| ~ ndr1_0 )
& ( hskp25
| ~ c1_1(X213)
| c3_1(X213)
| c2_1(X213)
| ~ ndr1_0 )
& ( hskp31
| ~ c1_1(X212)
| ~ c0_1(X212)
| c2_1(X212)
| ~ ndr1_0
| ~ c1_1(X211)
| c3_1(X211)
| c2_1(X211)
| ~ ndr1_0 )
& ( hskp7
| hskp10
| ~ c0_1(X210)
| c3_1(X210)
| c2_1(X210)
| ~ ndr1_0 )
& ( hskp17
| hskp24
| ~ c3_1(X209)
| ~ c2_1(X209)
| c1_1(X209)
| ~ ndr1_0 )
& ( hskp28
| ~ c3_1(X208)
| ~ c1_1(X208)
| ~ c0_1(X208)
| ~ ndr1_0
| ~ c3_1(X207)
| ~ c2_1(X207)
| c1_1(X207)
| ~ ndr1_0 )
& ( hskp18
| ~ c0_1(X206)
| c3_1(X206)
| c2_1(X206)
| ~ ndr1_0
| ~ c3_1(X205)
| ~ c0_1(X205)
| c1_1(X205)
| ~ ndr1_0 )
& ( hskp23
| ~ c3_1(X204)
| ~ c2_1(X204)
| ~ c0_1(X204)
| ~ ndr1_0
| ~ c2_1(X203)
| ~ c0_1(X203)
| c1_1(X203)
| ~ ndr1_0 )
& ( hskp7
| ~ c1_1(X202)
| ~ c0_1(X202)
| c2_1(X202)
| ~ ndr1_0
| ~ c2_1(X201)
| ~ c0_1(X201)
| c1_1(X201)
| ~ ndr1_0 )
& ( ~ c3_1(X200)
| ~ c1_1(X200)
| c2_1(X200)
| ~ ndr1_0
| ~ c0_1(X199)
| c3_1(X199)
| c2_1(X199)
| ~ ndr1_0
| ~ c2_1(X198)
| ~ c0_1(X198)
| c1_1(X198)
| ~ ndr1_0 )
& ( hskp15
| hskp29
| ~ c2_1(X197)
| c3_1(X197)
| c1_1(X197)
| ~ ndr1_0 )
& ( hskp21
| ~ c1_1(X196)
| ~ c0_1(X196)
| c2_1(X196)
| ~ ndr1_0
| ~ c2_1(X195)
| c3_1(X195)
| c1_1(X195)
| ~ ndr1_0 )
& ( hskp12
| hskp18
| ~ c0_1(X194)
| c3_1(X194)
| c1_1(X194)
| ~ ndr1_0 )
& ( hskp18
| ~ c1_1(X193)
| c3_1(X193)
| c2_1(X193)
| ~ ndr1_0
| ~ c3_1(X192)
| c2_1(X192)
| c1_1(X192)
| ~ ndr1_0 )
& ( hskp12
| ~ c2_1(X191)
| c3_1(X191)
| c1_1(X191)
| ~ ndr1_0
| ~ c3_1(X190)
| c2_1(X190)
| c1_1(X190)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X189)
| ~ c2_1(X189)
| ~ c1_1(X189)
| ~ ndr1_0
| ~ c0_1(X188)
| c2_1(X188)
| c1_1(X188)
| ~ ndr1_0 )
& ( hskp22
| ~ c3_1(X187)
| ~ c0_1(X187)
| c2_1(X187)
| ~ ndr1_0
| ~ c0_1(X186)
| c2_1(X186)
| c1_1(X186)
| ~ ndr1_0 )
& ( hskp22
| ~ c3_1(X185)
| ~ c2_1(X185)
| c1_1(X185)
| ~ ndr1_0
| ~ c0_1(X184)
| c2_1(X184)
| c1_1(X184)
| ~ ndr1_0 )
& ( hskp21
| ~ c2_1(X183)
| ~ c1_1(X183)
| ~ c0_1(X183)
| ~ ndr1_0
| c3_1(X182)
| c2_1(X182)
| c1_1(X182)
| ~ ndr1_0 )
& ( hskp20
| ~ c2_1(X181)
| ~ c0_1(X181)
| c3_1(X181)
| ~ ndr1_0
| c3_1(X180)
| c2_1(X180)
| c1_1(X180)
| ~ ndr1_0 )
& ( ~ c1_1(X179)
| c3_1(X179)
| c2_1(X179)
| ~ ndr1_0
| ~ c3_1(X178)
| c2_1(X178)
| c1_1(X178)
| ~ ndr1_0
| ~ c3_1(X177)
| ~ c2_1(X177)
| c0_1(X177)
| ~ ndr1_0 )
& ( hskp10
| hskp12
| ~ c3_1(X176)
| ~ c1_1(X176)
| c0_1(X176)
| ~ ndr1_0 )
& ( hskp14
| ~ c2_1(X175)
| ~ c0_1(X175)
| c3_1(X175)
| ~ ndr1_0
| ~ c3_1(X174)
| ~ c1_1(X174)
| c0_1(X174)
| ~ ndr1_0 )
& ( hskp9
| ~ c3_1(X173)
| ~ c1_1(X173)
| ~ c0_1(X173)
| ~ ndr1_0
| ~ c2_1(X172)
| ~ c1_1(X172)
| c0_1(X172)
| ~ ndr1_0 )
& ( hskp15
| ~ c2_1(X171)
| ~ c0_1(X171)
| c3_1(X171)
| ~ ndr1_0
| ~ c2_1(X170)
| ~ c1_1(X170)
| c0_1(X170)
| ~ ndr1_0 )
& ( hskp14
| ~ c0_1(X169)
| c3_1(X169)
| c2_1(X169)
| ~ ndr1_0
| ~ c2_1(X168)
| ~ c1_1(X168)
| c0_1(X168)
| ~ ndr1_0 )
& ( hskp19
| hskp18
| ~ c2_1(X167)
| c3_1(X167)
| c0_1(X167)
| ~ ndr1_0 )
& ( hskp17
| hskp0
| ~ c2_1(X166)
| c3_1(X166)
| c0_1(X166)
| ~ ndr1_0 )
& ( hskp7
| hskp4
| ~ c1_1(X165)
| c3_1(X165)
| c0_1(X165)
| ~ ndr1_0 )
& ( ~ c2_1(X164)
| c3_1(X164)
| c1_1(X164)
| ~ ndr1_0
| ~ c3_1(X163)
| ~ c2_1(X163)
| c0_1(X163)
| ~ ndr1_0
| ~ c1_1(X162)
| c3_1(X162)
| c0_1(X162)
| ~ ndr1_0 )
& ( hskp9
| hskp16
| ~ c3_1(X161)
| c2_1(X161)
| c0_1(X161)
| ~ ndr1_0 )
& ( hskp5
| hskp15
| ~ c3_1(X160)
| c2_1(X160)
| c0_1(X160)
| ~ ndr1_0 )
& ( hskp1
| hskp30
| ~ c3_1(X159)
| c2_1(X159)
| c0_1(X159)
| ~ ndr1_0 )
& ( hskp14
| ~ c2_1(X158)
| ~ c1_1(X158)
| c3_1(X158)
| ~ ndr1_0
| ~ c3_1(X157)
| c2_1(X157)
| c0_1(X157)
| ~ ndr1_0 )
& ( hskp12
| ~ c2_1(X156)
| ~ c0_1(X156)
| c3_1(X156)
| ~ ndr1_0
| ~ c3_1(X155)
| c2_1(X155)
| c0_1(X155)
| ~ ndr1_0 )
& ( hskp4
| ~ c1_1(X154)
| ~ c0_1(X154)
| c3_1(X154)
| ~ ndr1_0
| ~ c3_1(X153)
| c2_1(X153)
| c0_1(X153)
| ~ ndr1_0 )
& ( hskp8
| ~ c1_1(X152)
| c3_1(X152)
| c2_1(X152)
| ~ ndr1_0
| ~ c3_1(X151)
| c2_1(X151)
| c0_1(X151)
| ~ ndr1_0 )
& ( ~ c1_1(X150)
| ~ c0_1(X150)
| c2_1(X150)
| ~ ndr1_0
| ~ c3_1(X149)
| ~ c0_1(X149)
| c1_1(X149)
| ~ ndr1_0
| ~ c3_1(X148)
| c2_1(X148)
| c0_1(X148)
| ~ ndr1_0 )
& ( ~ c3_1(X147)
| ~ c1_1(X147)
| c2_1(X147)
| ~ ndr1_0
| ~ c2_1(X146)
| c3_1(X146)
| c1_1(X146)
| ~ ndr1_0
| ~ c3_1(X145)
| c2_1(X145)
| c0_1(X145)
| ~ ndr1_0 )
& ( hskp13
| hskp12
| ~ c1_1(X144)
| c2_1(X144)
| c0_1(X144)
| ~ ndr1_0 )
& ( hskp11
| ~ c3_1(X143)
| ~ c1_1(X143)
| ~ c0_1(X143)
| ~ ndr1_0
| ~ c1_1(X142)
| c2_1(X142)
| c0_1(X142)
| ~ ndr1_0 )
& ( hskp29
| ~ c1_1(X141)
| ~ c0_1(X141)
| c3_1(X141)
| ~ ndr1_0
| ~ c1_1(X140)
| c2_1(X140)
| c0_1(X140)
| ~ ndr1_0 )
& ( hskp10
| c3_1(X139)
| c2_1(X139)
| c1_1(X139)
| ~ ndr1_0
| ~ c1_1(X138)
| c2_1(X138)
| c0_1(X138)
| ~ ndr1_0 )
& ( c3_1(X137)
| c2_1(X137)
| c1_1(X137)
| ~ ndr1_0
| ~ c3_1(X136)
| ~ c2_1(X136)
| c0_1(X136)
| ~ ndr1_0
| ~ c1_1(X135)
| c2_1(X135)
| c0_1(X135)
| ~ ndr1_0 )
& ( ~ c2_1(X134)
| ~ c0_1(X134)
| c3_1(X134)
| ~ ndr1_0
| ~ c3_1(X133)
| ~ c2_1(X133)
| c1_1(X133)
| ~ ndr1_0
| c3_1(X132)
| c2_1(X132)
| c0_1(X132)
| ~ ndr1_0 )
& ( hskp9
| c3_1(X131)
| c2_1(X131)
| c1_1(X131)
| ~ ndr1_0
| c3_1(X130)
| c2_1(X130)
| c0_1(X130)
| ~ ndr1_0 )
& ( hskp8
| hskp7
| ~ c3_1(X129)
| c1_1(X129)
| c0_1(X129)
| ~ ndr1_0 )
& ( hskp6
| hskp5
| ~ c3_1(X128)
| c1_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X127)
| ~ c0_1(X127)
| c2_1(X127)
| ~ ndr1_0
| ~ c3_1(X126)
| c1_1(X126)
| c0_1(X126)
| ~ ndr1_0 )
& ( hskp3
| ~ c2_1(X125)
| ~ c0_1(X125)
| c1_1(X125)
| ~ ndr1_0
| ~ c3_1(X124)
| c1_1(X124)
| c0_1(X124)
| ~ ndr1_0 )
& ( hskp1
| ~ c1_1(X123)
| ~ c0_1(X123)
| c3_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 )
& ( ~ c3_1(X120)
| c2_1(X120)
| c1_1(X120)
| ~ ndr1_0
| ~ c3_1(X119)
| c2_1(X119)
| c0_1(X119)
| ~ ndr1_0
| c3_1(X118)
| c1_1(X118)
| c0_1(X118)
| ~ ndr1_0 )
& ( hskp1
| hskp0
| c2_1(X117)
| c1_1(X117)
| c0_1(X117)
| ~ ndr1_0 )
& ( ~ c3_1(X116)
| ~ c2_1(X116)
| ~ c0_1(X116)
| ~ ndr1_0
| ~ c2_1(X115)
| c3_1(X115)
| c1_1(X115)
| ~ ndr1_0
| c2_1(X114)
| c1_1(X114)
| c0_1(X114)
| ~ ndr1_0 )
& ( ~ hskp31
| c3_1(a957) )
& ( ~ hskp31
| c2_1(a957) )
& ( ~ hskp31
| c1_1(a957) )
& ( ~ hskp31
| ndr1_0 )
& ( ~ hskp30
| c2_1(a919) )
& ( ~ hskp30
| c1_1(a919) )
& ( ~ hskp30
| c0_1(a919) )
& ( ~ hskp30
| ndr1_0 )
& ( ~ hskp29
| c3_1(a911) )
& ( ~ hskp29
| c1_1(a911) )
& ( ~ hskp29
| c0_1(a911) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c3_1(a900) )
& ( ~ hskp28
| c2_1(a900) )
& ( ~ hskp28
| c0_1(a900) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| ~ c0_1(a978) )
& ( ~ hskp27
| c3_1(a978) )
& ( ~ hskp27
| c2_1(a978) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| ~ c2_1(a969) )
& ( ~ hskp26
| ~ c1_1(a969) )
& ( ~ hskp26
| c0_1(a969) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c3_1(a958) )
& ( ~ hskp25
| ~ c1_1(a958) )
& ( ~ hskp25
| ~ c0_1(a958) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c2_1(a953) )
& ( ~ hskp24
| c3_1(a953) )
& ( ~ hskp24
| c1_1(a953) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c2_1(a950) )
& ( ~ hskp23
| c3_1(a950) )
& ( ~ hskp23
| c0_1(a950) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c3_1(a939) )
& ( ~ hskp22
| ~ c0_1(a939) )
& ( ~ hskp22
| c1_1(a939) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c3_1(a938) )
& ( ~ hskp21
| ~ c2_1(a938) )
& ( ~ hskp21
| c0_1(a938) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c3_1(a937) )
& ( ~ hskp20
| ~ c0_1(a937) )
& ( ~ hskp20
| c2_1(a937) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c1_1(a930) )
& ( ~ hskp19
| ~ c0_1(a930) )
& ( ~ hskp19
| c2_1(a930) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c1_1(a929) )
& ( ~ hskp18
| c2_1(a929) )
& ( ~ hskp18
| c0_1(a929) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c3_1(a928) )
& ( ~ hskp17
| ~ c2_1(a928) )
& ( ~ hskp17
| c1_1(a928) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c3_1(a923) )
& ( ~ hskp16
| c2_1(a923) )
& ( ~ hskp16
| c1_1(a923) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c3_1(a921) )
& ( ~ hskp15
| c1_1(a921) )
& ( ~ hskp15
| c0_1(a921) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c1_1(a918) )
& ( ~ hskp14
| c3_1(a918) )
& ( ~ hskp14
| c0_1(a918) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c2_1(a914) )
& ( ~ hskp13
| ~ c1_1(a914) )
& ( ~ hskp13
| c3_1(a914) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c3_1(a913) )
& ( ~ hskp12
| ~ c1_1(a913) )
& ( ~ hskp12
| c0_1(a913) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c3_1(a912) )
& ( ~ hskp11
| ~ c2_1(a912) )
& ( ~ hskp11
| ~ c1_1(a912) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c2_1(a910) )
& ( ~ hskp10
| ~ c0_1(a910) )
& ( ~ hskp10
| c1_1(a910) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c2_1(a909) )
& ( ~ hskp9
| ~ c1_1(a909) )
& ( ~ hskp9
| ~ c0_1(a909) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c2_1(a908) )
& ( ~ hskp8
| ~ c0_1(a908) )
& ( ~ hskp8
| c3_1(a908) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c1_1(a907) )
& ( ~ hskp7
| ~ c0_1(a907) )
& ( ~ hskp7
| c3_1(a907) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c1_1(a906) )
& ( ~ hskp6
| c3_1(a906) )
& ( ~ hskp6
| c2_1(a906) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c0_1(a905) )
& ( ~ hskp5
| c3_1(a905) )
& ( ~ hskp5
| c1_1(a905) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c3_1(a904) )
& ( ~ hskp4
| ~ c1_1(a904) )
& ( ~ hskp4
| c2_1(a904) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a903) )
& ( ~ hskp3
| c2_1(a903) )
& ( ~ hskp3
| c0_1(a903) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c3_1(a901) )
& ( ~ hskp2
| ~ c2_1(a901) )
& ( ~ hskp2
| ~ c0_1(a901) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c0_1(a899) )
& ( ~ hskp1
| c2_1(a899) )
& ( ~ hskp1
| c1_1(a899) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c2_1(a898) )
& ( ~ hskp0
| c1_1(a898) )
& ( ~ hskp0
| c0_1(a898) )
& ( ~ 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])])])])]) ).
fof(c_0_6,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( ~ epred51_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( hskp9
| hskp12
| hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred43_0 ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ hskp31
| c3_1(a957) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( ~ hskp31
| c2_1(a957) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_19,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp7
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_22,plain,
( ~ epred21_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_23,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_24,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
( ~ hskp27
| c3_1(a978) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp27
| c2_1(a978) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp31
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( hskp27
| hskp31
| hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_29,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ ndr1_0
| hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_30,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_31,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp25
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_32,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_33,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ ndr1_0
| hskp21
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_34,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_35,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_36,negated_conjecture,
( ~ hskp29
| c0_1(a911) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_37,negated_conjecture,
( ~ hskp29
| c3_1(a911) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_38,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp7
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_19]),c_0_20])]) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp29
| c1_1(a911) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,negated_conjecture,
( ~ hskp31
| epred43_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_18]) ).
fof(c_0_41,plain,
( ~ epred8_0
<=> ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_42,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
fof(c_0_44,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp31
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_45,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp31
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_46,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred26_0 ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( ~ hskp27
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_25]),c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( hskp27
| hskp29
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_49,negated_conjecture,
( ~ hskp25
| ~ c1_1(a958) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_50,negated_conjecture,
( ~ hskp25
| ~ c0_1(a958) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_51,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp9
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_29]),c_0_20])]) ).
cnf(c_0_52,negated_conjecture,
( ~ hskp25
| ~ c3_1(a958) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_53,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( ~ hskp15
| c1_1(a921) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_55,negated_conjecture,
( ~ hskp15
| c0_1(a921) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_56,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp25 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_20])]) ).
cnf(c_0_57,negated_conjecture,
( ~ hskp15
| ~ c3_1(a921) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_58,plain,
( ~ epred55_0
<=> ! [X1] :
( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_59,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp14
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_60,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp18
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_61,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_62,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp22
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_32]),c_0_20])]) ).
cnf(c_0_63,negated_conjecture,
( ~ hskp26
| c0_1(a969) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_64,negated_conjecture,
( ~ hskp26
| ~ c1_1(a969) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_65,negated_conjecture,
( ~ hskp26
| ~ c2_1(a969) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_66,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_33]),c_0_20])]) ).
cnf(c_0_67,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
fof(c_0_68,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_69,plain,
( ~ epred20_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_70,negated_conjecture,
( ~ hskp7
| ~ c0_1(a907) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_71,negated_conjecture,
( ~ hskp7
| c3_1(a907) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_72,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_35]) ).
cnf(c_0_73,negated_conjecture,
( ~ c2_1(a911)
| ~ hskp29
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_36]),c_0_37]) ).
cnf(c_0_74,negated_conjecture,
( ~ hskp29
| c2_1(a911)
| hskp7
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_36]) ).
cnf(c_0_75,negated_conjecture,
( ~ hskp27
| epred43_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_25]),c_0_26]) ).
cnf(c_0_76,negated_conjecture,
( hskp27
| hskp29
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_77,negated_conjecture,
( ~ hskp7
| ~ c1_1(a907) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_78,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
cnf(c_0_79,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| epred13_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_80,negated_conjecture,
( ~ hskp22
| c1_1(a939) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_81,negated_conjecture,
( ~ hskp22
| ~ c0_1(a939) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_82,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp31
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_44]),c_0_20])]) ).
cnf(c_0_83,negated_conjecture,
( ~ hskp22
| ~ c3_1(a939) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_84,plain,
( ~ epred11_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_85,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_86,negated_conjecture,
( ~ hskp31
| c1_1(a957) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_87,negated_conjecture,
( ~ hskp17
| c1_1(a928) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_88,negated_conjecture,
( ~ hskp17
| ~ c2_1(a928) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_89,negated_conjecture,
( ~ hskp17
| ~ c3_1(a928) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_90,negated_conjecture,
( ~ hskp28
| c0_1(a900) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp28
| c2_1(a900) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_92,negated_conjecture,
( ~ hskp28
| c3_1(a900) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_93,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp31 ),
inference(cn,[status(thm)],[c_0_45]) ).
cnf(c_0_94,negated_conjecture,
( ~ c2_1(a911)
| ~ hskp29
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_37]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp29
| c2_1(a911)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_36]) ).
cnf(c_0_96,negated_conjecture,
( hskp29
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_97,plain,
( ~ epred53_0
<=> ! [X3] :
( ~ c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_98,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp4
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_99,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_100,negated_conjecture,
( ~ c2_1(a958)
| ~ hskp25
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_50]) ).
cnf(c_0_101,negated_conjecture,
( ~ hskp25
| c2_1(a958)
| hskp9
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_102,negated_conjecture,
( ~ c2_1(a921)
| ~ hskp15
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_103,negated_conjecture,
( ~ hskp15
| c2_1(a921)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_57]) ).
cnf(c_0_104,negated_conjecture,
( ~ hskp19
| ~ c1_1(a930) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_105,negated_conjecture,
( ~ hskp19
| c2_1(a930) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp19
| ~ c0_1(a930) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_107,plain,
( ~ epred57_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_108,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred55_0 ),
inference(split_equiv,[status(thm)],[c_0_58]) ).
cnf(c_0_109,negated_conjecture,
( ~ hskp27
| ~ c0_1(a978) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_110,negated_conjecture,
( ~ hskp14
| c0_1(a918) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp14
| c3_1(a918) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp14
| ~ c1_1(a918) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_113,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp14
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_59]),c_0_20])]) ).
cnf(c_0_114,negated_conjecture,
( ~ hskp12
| c0_1(a913) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_115,negated_conjecture,
( ~ hskp12
| ~ c3_1(a913) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_116,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp18
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_60]),c_0_20])]) ).
cnf(c_0_117,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp0
| c2_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_61]),c_0_20])]) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp23
| c0_1(a950) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp23
| c3_1(a950) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp23
| ~ c2_1(a950) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp26
| hskp22
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_122,negated_conjecture,
( hskp22
| hskp26
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_123,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp11
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp11
| ~ c1_1(a912) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_125,negated_conjecture,
( ~ hskp11
| ~ c2_1(a912) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp11
| ~ c3_1(a912) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_127,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp1
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp5
| hskp1
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_129,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp21
| hskp25
| epred27_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_66]) ).
fof(c_0_130,plain,
( ~ epred4_0
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_131,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp21
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_132,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| hskp18
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred7_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| hskp12
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_134,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_135,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp25
| epred2_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_67]) ).
fof(c_0_136,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| hskp14
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_137,plain,
( ~ epred54_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred31_0 ),
inference(split_equiv,[status(thm)],[c_0_68]) ).
cnf(c_0_140,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp14
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_69]),c_0_20])]) ).
fof(c_0_141,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp15
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_142,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
( ~ c3_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_144,negated_conjecture,
( ~ c2_1(a907)
| ~ hskp7
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_15]),c_0_71]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp7
| c2_1(a907)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_72]),c_0_71]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp29
| hskp7
| epred36_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_147,negated_conjecture,
( hskp29
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp7
| c2_1(a907)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_71]) ).
cnf(c_0_149,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred13_0
| epred21_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_79]) ).
cnf(c_0_150,negated_conjecture,
( ~ c2_1(a939)
| ~ hskp22
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_80]),c_0_81]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp22
| c2_1(a939)
| hskp31
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_80]),c_0_83]) ).
cnf(c_0_152,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_84]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp3
| c0_1(a903) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp3
| c2_1(a903) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp3
| ~ c3_1(a903) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_156,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp3
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_85]),c_0_20])]) ).
cnf(c_0_157,negated_conjecture,
( ~ c0_1(a957)
| ~ hskp31
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_86]),c_0_18]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp31
| c0_1(a957)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_86]),c_0_18]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp31
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_86]),c_0_18]),c_0_17]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp17
| hskp31
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp28
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_162,negated_conjecture,
( hskp17
| hskp22
| hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp28
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_92]),c_0_91]) ).
cnf(c_0_164,negated_conjecture,
( ~ epred26_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_93,c_0_44]),c_0_24]) ).
cnf(c_0_165,negated_conjecture,
( epred26_0
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
fof(c_0_166,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp29
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_167,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp18
| c0_1(a929) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp18
| c2_1(a929) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp18
| ~ c1_1(a929) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_171,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred53_0 ),
inference(split_equiv,[status(thm)],[c_0_97]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp12
| ~ c1_1(a913) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_173,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp4
| epred16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_98]),c_0_20])]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp0
| c0_1(a898) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp0
| ~ c2_1(a898) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_176,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_99]) ).
fof(c_0_177,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp25
| hskp9
| epred1_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp15
| hskp25
| epred28_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp19
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_43]),c_0_105]),c_0_106]) ).
cnf(c_0_181,negated_conjecture,
( hskp19
| hskp22
| hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_182,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred57_0 ),
inference(split_equiv,[status(thm)],[c_0_107]) ).
cnf(c_0_183,negated_conjecture,
( ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X3)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp7
| c2_1(a907)
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_108]),c_0_70]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp27
| epred51_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_15]),c_0_26]),c_0_25]) ).
cnf(c_0_186,negated_conjecture,
( hskp9
| hskp7
| hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp9
| ~ c1_1(a909) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp9
| ~ c0_1(a909) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp9
| ~ c2_1(a909) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_190,negated_conjecture,
( ~ c2_1(a918)
| ~ hskp14
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_110]),c_0_111]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp14
| c2_1(a918)
| hskp22
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_110]),c_0_112]) ).
cnf(c_0_192,negated_conjecture,
( ~ c2_1(a913)
| ~ hskp12
| hskp14
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp12
| c2_1(a913)
| hskp18
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_115]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp22
| c2_1(a939)
| hskp9
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_51]),c_0_83]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp23
| hskp0
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_196,negated_conjecture,
( hskp22
| hskp23
| epred29_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_197,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp11
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_20])]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp11
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_67]),c_0_125]),c_0_126]) ).
fof(c_0_199,plain,
( ~ epred47_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp23
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp1
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_20])]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp21
| c0_1(a938) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp21
| ~ c2_1(a938) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_203,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_20])]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp0
| c1_1(a898) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_205,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp17
| hskp0
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_206,negated_conjecture,
( c2_1(a958)
| c3_1(a958)
| hskp21
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_129]) ).
cnf(c_0_207,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
cnf(c_0_208,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp7
| hskp4
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_209,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp21
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_20])]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp20
| c2_1(a937) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp20
| ~ c3_1(a937) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_212,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp18
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_20])]) ).
cnf(c_0_213,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp12
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_133]),c_0_20])]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp6
| ~ c1_1(a906) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_215,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp6
| c3_1(a906) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_217,negated_conjecture,
( ~ c2_1(X1)
| ~ ndr1_0
| hskp15
| hskp29
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_218,negated_conjecture,
( c2_1(a958)
| c3_1(a958)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_67]),c_0_135]) ).
cnf(c_0_219,negated_conjecture,
( ~ ndr1_0
| hskp1
| hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_220,negated_conjecture,
( ~ ndr1_0
| hskp2
| hskp28
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_221,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp14
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_20])]) ).
cnf(c_0_222,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_20])]) ).
cnf(c_0_223,negated_conjecture,
( ~ c1_1(X1)
| ~ ndr1_0
| hskp13
| hskp12
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_224,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp13
| hskp1
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_225,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp6
| hskp12
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_226,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp10
| hskp12
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_227,plain,
( ~ epred60_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_228,plain,
( ~ epred59_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_229,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_230,plain,
( ~ epred52_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_231,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_232,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_233,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| hskp9
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_20])]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp14
| c2_1(a918)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_110]),c_0_111]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp12
| c2_1(a913)
| hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_114]),c_0_115]) ).
cnf(c_0_236,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| hskp15
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_20])]) ).
cnf(c_0_237,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
cnf(c_0_238,negated_conjecture,
( ~ c3_1(X2)
| ~ c3_1(X3)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X2)
| c2_1(X3)
| c1_1(X1)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_143]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp7
| epred6_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_240,negated_conjecture,
( hskp7
| epred36_0
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp7
| epred8_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_148]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp31
| epred13_0
| epred21_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_17]),c_0_18]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp22
| hskp31
| epred21_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp3
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp7
| hskp3
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_71]),c_0_70]),c_0_77]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp31
| epred21_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp17
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_248,negated_conjecture,
( hskp17
| hskp22
| epred43_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_249,negated_conjecture,
( hskp17
| hskp22
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_250,negated_conjecture,
( ~ epred33_0
| epred30_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp21
| ~ c3_1(a938) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_252,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp29
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_166]),c_0_20])]) ).
cnf(c_0_253,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_167]) ).
cnf(c_0_254,negated_conjecture,
( ~ c3_1(a929)
| ~ hskp18
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_168]),c_0_169]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp18
| c3_1(a929)
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_169]) ).
cnf(c_0_256,negated_conjecture,
( ~ c2_1(a913)
| ~ hskp12
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_171]),c_0_115]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp14
| c2_1(a918)
| hskp4
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_110]),c_0_111]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp0
| ~ c3_1(a898)
| hskp4
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp0
| c3_1(a898)
| hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_174]),c_0_175]) ).
cnf(c_0_260,negated_conjecture,
( ~ c2_1(a913)
| ~ hskp12
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_176]),c_0_114]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp14
| c2_1(a918)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_78]),c_0_111]) ).
cnf(c_0_262,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp1
| c3_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_177]),c_0_20])]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp15
| hskp9
| epred1_0
| epred13_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_264,negated_conjecture,
( hskp15
| hskp22
| epred13_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp29
| c2_1(a911)
| epred57_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_39]),c_0_37]) ).
cnf(c_0_266,negated_conjecture,
( ~ c2_1(a907)
| ~ hskp7
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_43]),c_0_70]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp27
| epred13_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_79]),c_0_26]) ).
cnf(c_0_268,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_183]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp7
| epred51_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_144,c_0_184]) ).
cnf(c_0_270,negated_conjecture,
( hskp7
| hskp9
| epred51_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp9
| epred55_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_108]),c_0_188]),c_0_189]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp13
| ~ c1_1(a914) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp13
| c3_1(a914) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_274,negated_conjecture,
( ~ hskp13
| ~ c2_1(a914) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_275,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp5
| c1_1(a905) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp5
| c3_1(a905) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_278,negated_conjecture,
( ~ hskp5
| ~ c0_1(a905) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp6
| c2_1(a906) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_280,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_281,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_282,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_283,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_284,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp23
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_285,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_286,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_287,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp0
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_288,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp15
| c3_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_289,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_290,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp11
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_291,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp7
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_292,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp1
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_293,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp29
| c3_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_294,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_295,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_296,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp21
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_297,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp21
| c2_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_298,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp18
| c3_1(X2)
| c2_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_299,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_300,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X2)
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_301,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp4
| c2_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_302,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp3
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_303,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp1
| c3_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_304,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp18
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_305,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp12
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_306,negated_conjecture,
( ~ ndr1_0
| ~ ndr1_0
| hskp9
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp14
| hskp22
| epred29_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp12
| hskp14
| hskp18
| epred23_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp22
| hskp9
| epred1_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_194]) ).
cnf(c_0_310,negated_conjecture,
( hskp0
| hskp22
| epred29_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp2
| ~ c0_1(a901) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_312,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_67]),c_0_198]) ).
cnf(c_0_313,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| hskp23
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_20])]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp12
| c2_1(a913)
| hskp1
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_114]),c_0_172]) ).
cnf(c_0_315,negated_conjecture,
( ~ hskp21
| c1_1(a938)
| hskp1
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_316,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| hskp1
| hskp5
| epred6_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_72]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp0
| c3_1(a898)
| hskp31
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_204]),c_0_175]) ).
cnf(c_0_318,negated_conjecture,
( c1_1(a950)
| c2_1(a950)
| hskp22
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_118]),c_0_196]) ).
cnf(c_0_319,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c0_1(X1)
| c3_1(X1)
| hskp17 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_20])]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp25
| c2_1(a958)
| hskp21
| epred27_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_206]) ).
cnf(c_0_321,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_66]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp12
| c2_1(a913)
| hskp21
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_66]),c_0_115]) ).
cnf(c_0_323,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp4
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_20])]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp20
| c1_1(a937)
| hskp21
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp22
| c2_1(a939)
| hskp18
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_80]),c_0_83]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp22
| c2_1(a939)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_80]),c_0_83]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp20
| c1_1(a937)
| hskp12
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_210]),c_0_211]) ).
cnf(c_0_328,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred28_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_53,c_0_9]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp6
| c0_1(a906)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_330,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_207,c_0_67]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp12
| c2_1(a913)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_67]),c_0_115]) ).
cnf(c_0_332,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp15
| hskp29 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_20])]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp25
| c2_1(a958)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_52,c_0_218]) ).
cnf(c_0_334,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_20])]) ).
cnf(c_0_335,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp2
| c3_1(X1)
| hskp28 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_20])]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp1
| c2_1(a899) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_337,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| hskp14
| epred22_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_338,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp12
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_20])]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp10
| c1_1(a910) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_340,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp1
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_20])]) ).
cnf(c_0_341,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp6
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_20])]) ).
cnf(c_0_342,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| hskp10
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_20])]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp1
| c1_1(a899) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_344,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred60_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_227]),c_0_20])]) ).
cnf(c_0_345,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred59_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_228]),c_0_20])]) ).
cnf(c_0_346,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_229]),c_0_20])]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp4
| ~ c1_1(a904) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_348,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_230]),c_0_20])]) ).
cnf(c_0_349,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_231]),c_0_20])]) ).
cnf(c_0_350,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp21
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_232]),c_0_20])]) ).
cnf(c_0_351,negated_conjecture,
( ~ c2_1(a939)
| ~ hskp22
| hskp9
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_80]),c_0_81]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp14
| epred31_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_234]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp12
| hskp14
| epred20_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_235]) ).
cnf(c_0_354,negated_conjecture,
( ~ c2_1(a911)
| ~ hskp29
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_36]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp29
| hskp0
| c2_1(a911)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_37]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp18
| c3_1(a929)
| hskp15
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_168]),c_0_169]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp14
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_237]),c_0_110]),c_0_111]) ).
cnf(c_0_358,negated_conjecture,
( ~ epred6_0
| ~ epred8_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_238,c_0_231]),c_0_35]),c_0_41]) ).
cnf(c_0_359,negated_conjecture,
( epred6_0
| epred36_0
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_360,negated_conjecture,
( epred8_0
| epred36_0
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_240]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp17
| epred13_0
| epred21_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_160]) ).
cnf(c_0_362,negated_conjecture,
( ~ hskp22
| epred13_0
| epred21_0
| epred33_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp7
| epred11_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp0
| hskp7
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_204]),c_0_174]),c_0_175]) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_215]),c_0_71]),c_0_70]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp17
| epred21_0
| epred28_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_160]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp22
| epred21_0
| epred28_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_243]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp22
| epred21_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_243]) ).
cnf(c_0_369,negated_conjecture,
( hskp22
| epred33_0
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_370,negated_conjecture,
( hskp22
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_249]),c_0_250]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp21
| hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_201]),c_0_202]),c_0_251]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp29
| epred26_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_95]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp15
| hskp29
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_54]),c_0_55]),c_0_57]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp29
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_39]),c_0_36]),c_0_37]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp0
| c3_1(a898)
| hskp18
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_174]),c_0_175]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp4
| c2_1(a904) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp4
| ~ c3_1(a904) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp18
| c3_1(a929)
| hskp21
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_169]),c_0_170]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp18
| epred43_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp12
| hskp18
| epred23_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_193]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp18
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_176]),c_0_168]),c_0_169]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp21
| hskp18
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_201]),c_0_202]),c_0_251]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp14
| hskp4
| epred16_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_257]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp0
| hskp4
| hskp14
| epred16_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp12
| hskp14
| epred20_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_235]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp12
| hskp14
| epred15_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_235]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp14
| epred8_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_261]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp0
| hskp1
| c3_1(a898)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_204]),c_0_174]) ).
cnf(c_0_389,negated_conjecture,
( hskp9
| hskp22
| epred1_0
| epred13_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp0
| ~ c3_1(a898)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_204]),c_0_174]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp0
| c3_1(a898)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_204]),c_0_175]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp29
| epred43_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_265]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp18
| c3_1(a929)
| hskp12
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_169]),c_0_170]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp7
| epred13_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_184]) ).
cnf(c_0_395,negated_conjecture,
( hskp7
| hskp9
| epred13_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_186]) ).
cnf(c_0_396,negated_conjecture,
( ~ epred51_0
| ~ epred52_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_268,c_0_230]),c_0_97]),c_0_7]) ).
cnf(c_0_397,negated_conjecture,
( epred51_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).
cnf(c_0_398,negated_conjecture,
( ~ c0_1(a914)
| ~ hskp13
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_237]),c_0_273]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp13
| c0_1(a914)
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_108]),c_0_274]) ).
cnf(c_0_400,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_275]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp1
| ~ c0_1(a899) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_402,negated_conjecture,
( ~ c2_1(a905)
| ~ hskp5
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_276]),c_0_277]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp5
| c2_1(a905)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_72]),c_0_277]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp15
| c2_1(a921)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_54]),c_0_55]) ).
cnf(c_0_405,negated_conjecture,
( ~ c2_1(a911)
| ~ hskp29
| epred43_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_406,negated_conjecture,
( ~ c0_1(a906)
| ~ hskp6
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_237]),c_0_216]) ).
cnf(c_0_407,negated_conjecture,
( ~ c0_1(a906)
| ~ hskp6
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_176]),c_0_279]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp2
| ~ c2_1(a901) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp2
| ~ c3_1(a901) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_410,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp20
| hskp1
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp20
| ~ c0_1(a937) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_412,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X1)
| ~ c1_1(X3)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c2_1(X3)
| c1_1(X1) ),
inference(cn,[status(thm)],[c_0_280]) ).
cnf(c_0_413,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X3)
| c1_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_281]) ).
cnf(c_0_414,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X3)
| c2_1(X1)
| c1_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_282]) ).
cnf(c_0_415,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_283]) ).
cnf(c_0_416,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| hskp23 ),
inference(cn,[status(thm)],[c_0_284]) ).
cnf(c_0_417,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| hskp21 ),
inference(cn,[status(thm)],[c_0_285]) ).
cnf(c_0_418,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c0_1(X1)
| hskp9 ),
inference(cn,[status(thm)],[c_0_286]) ).
cnf(c_0_419,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[c_0_287]) ).
cnf(c_0_420,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X1)
| hskp15 ),
inference(cn,[status(thm)],[c_0_288]) ).
cnf(c_0_421,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[c_0_289]) ).
cnf(c_0_422,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1)
| hskp11 ),
inference(cn,[status(thm)],[c_0_290]) ).
cnf(c_0_423,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| hskp7 ),
inference(cn,[status(thm)],[c_0_291]) ).
cnf(c_0_424,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_292]) ).
cnf(c_0_425,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c0_1(X1)
| hskp29 ),
inference(cn,[status(thm)],[c_0_293]) ).
cnf(c_0_426,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c1_1(X1)
| hskp22 ),
inference(cn,[status(thm)],[c_0_294]) ).
cnf(c_0_427,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp22 ),
inference(cn,[status(thm)],[c_0_295]) ).
cnf(c_0_428,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp21 ),
inference(cn,[status(thm)],[c_0_296]) ).
cnf(c_0_429,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X2)
| c1_1(X1)
| hskp21 ),
inference(cn,[status(thm)],[c_0_297]) ).
cnf(c_0_430,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| hskp18 ),
inference(cn,[status(thm)],[c_0_298]) ).
cnf(c_0_431,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c0_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[c_0_299]) ).
cnf(c_0_432,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[c_0_300]) ).
cnf(c_0_433,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X1)
| c0_1(X1)
| hskp4 ),
inference(cn,[status(thm)],[c_0_301]) ).
cnf(c_0_434,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[c_0_302]) ).
cnf(c_0_435,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_303]) ).
cnf(c_0_436,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c2_1(X2)
| c1_1(X1)
| hskp18 ),
inference(cn,[status(thm)],[c_0_304]) ).
cnf(c_0_437,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c1_1(X1)
| c1_1(X2)
| hskp12 ),
inference(cn,[status(thm)],[c_0_305]) ).
cnf(c_0_438,negated_conjecture,
( ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| hskp9 ),
inference(cn,[status(thm)],[c_0_306]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp12
| hskp18
| epred23_0
| epred39_0
| hskp22
| epred29_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_440,negated_conjecture,
( hskp0
| epred29_0
| epred42_0
| hskp9
| epred1_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp2
| c2_1(a901)
| c3_1(a901)
| epred2_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp12
| ~ c0_1(a913)
| hskp1
| epred34_0
| c1_1(a913)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp21
| ~ c0_1(a938)
| epred34_0
| hskp1
| c3_1(a938)
| epred12_0 ),
inference(spm,[status(thm)],[c_0_262,c_0_315]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp0
| hskp31
| epred33_0
| c2_1(a898)
| hskp1
| hskp5
| epred6_0 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_445,negated_conjecture,
( ~ c3_1(a950)
| hskp22
| epred29_0
| c2_1(a950)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_318]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp25
| hskp21
| epred27_0
| hskp0
| c0_1(a958)
| c3_1(a958)
| hskp17 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_447,negated_conjecture,
( ~ hskp25
| epred27_0
| c1_1(a958)
| c3_1(a958)
| hskp21
| epred25_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_320]) ).
cnf(c_0_448,negated_conjecture,
( ~ hskp2
| c2_1(a901)
| c3_1(a901)
| hskp21
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_321]) ).
cnf(c_0_449,negated_conjecture,
( ~ hskp12
| ~ c0_1(a913)
| hskp21
| epred27_0
| c1_1(a913)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_322]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp12
| epred27_0
| c1_1(a913)
| c3_1(a913)
| hskp21
| epred25_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_322]) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp20
| hskp21
| epred25_0
| c0_1(a937)
| c3_1(a937)
| hskp4
| hskp7 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp12
| ~ c0_1(a913)
| hskp18
| epred23_0
| c1_1(a913)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_193]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp12
| hskp18
| epred23_0
| c1_1(a913)
| c3_1(a913)
| hskp21
| epred25_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_193]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp12
| ~ c0_1(a913)
| hskp14
| epred20_0
| c1_1(a913)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_235]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp12
| hskp14
| epred20_0
| c1_1(a913)
| c3_1(a913)
| hskp21
| epred25_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_235]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp22
| hskp18
| epred9_0
| hskp0
| c0_1(a939)
| c3_1(a939)
| hskp17 ),
inference(spm,[status(thm)],[c_0_319,c_0_325]) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp22
| hskp25
| hskp0
| c0_1(a939)
| c3_1(a939)
| hskp17 ),
inference(spm,[status(thm)],[c_0_319,c_0_326]) ).
cnf(c_0_458,negated_conjecture,
( ~ hskp20
| ~ c2_1(a937)
| hskp12
| epred7_0
| c0_1(a937)
| epred21_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_327]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp28
| ~ c2_1(a900)
| ~ c3_1(a900)
| epred28_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_90]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp6
| ~ c2_1(a906)
| ~ c3_1(a906)
| epred17_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_329]) ).
cnf(c_0_461,negated_conjecture,
( ~ hskp2
| c2_1(a901)
| c3_1(a901)
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_330]) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp12
| ~ c0_1(a913)
| epred2_0
| c1_1(a913)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_331]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp25
| hskp9
| epred1_0
| c1_1(a958)
| c3_1(a958)
| hskp15
| hskp29 ),
inference(spm,[status(thm)],[c_0_332,c_0_101]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp25
| epred2_0
| c1_1(a958)
| c3_1(a958)
| hskp15
| hskp29 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp9
| hskp0
| c0_1(a909)
| c2_1(a909)
| hskp1 ),
inference(spm,[status(thm)],[c_0_187,c_0_334]) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp25
| c0_1(a958)
| hskp2
| c3_1(a958)
| hskp28 ),
inference(spm,[status(thm)],[c_0_49,c_0_335]) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp1
| hskp0
| c0_1(a899)
| c3_1(a899)
| hskp17 ),
inference(spm,[status(thm)],[c_0_319,c_0_336]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp20
| c3_1(a937)
| hskp14
| epred22_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_210]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp10
| c0_1(a910)
| c2_1(a910)
| hskp12
| hskp13 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_470,negated_conjecture,
( ~ hskp17
| c0_1(a928)
| c2_1(a928)
| hskp12
| hskp13 ),
inference(spm,[status(thm)],[c_0_338,c_0_87]) ).
cnf(c_0_471,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| epred24_0
| c2_1(X1)
| hskp1
| hskp13 ),
inference(spm,[status(thm)],[c_0_340,c_0_237]) ).
cnf(c_0_472,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| epred24_0
| c2_1(X1)
| hskp6
| hskp12 ),
inference(spm,[status(thm)],[c_0_341,c_0_237]) ).
cnf(c_0_473,negated_conjecture,
( ~ hskp1
| ~ c3_1(a899)
| c0_1(a899)
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp31
| ~ c3_1(a957)
| c0_1(a957)
| hskp10
| hskp12 ),
inference(spm,[status(thm)],[c_0_342,c_0_86]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp21
| c2_1(a938)
| c3_1(a938)
| epred60_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_201]) ).
cnf(c_0_476,negated_conjecture,
( ~ c3_1(a907)
| ~ hskp7
| c2_1(a907)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_345]) ).
cnf(c_0_477,negated_conjecture,
( ~ c3_1(a909)
| ~ hskp9
| c2_1(a909)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_345]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp9
| c2_1(a909)
| c3_1(a909)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_188,c_0_346]) ).
cnf(c_0_479,negated_conjecture,
( ~ c2_1(a904)
| ~ hskp4
| c3_1(a904)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_347,c_0_222]) ).
cnf(c_0_480,negated_conjecture,
( ~ c2_1(a913)
| ~ hskp12
| c3_1(a913)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_222]) ).
cnf(c_0_481,negated_conjecture,
( ~ c2_1(a929)
| ~ hskp18
| c3_1(a929)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_222]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp1
| c0_1(a899)
| c3_1(a899)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_343]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp22
| c0_1(a939)
| c3_1(a939)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_348,c_0_80]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp18
| ~ c0_1(a929)
| c1_1(a929)
| hskp23
| epred47_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_169]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp25
| c0_1(a958)
| c3_1(a958)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_49,c_0_349]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp0
| ~ c0_1(a898)
| c3_1(a898)
| hskp21
| epred46_0 ),
inference(spm,[status(thm)],[c_0_350,c_0_204]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp22
| hskp9
| hskp25
| epred44_0 ),
inference(spm,[status(thm)],[c_0_351,c_0_326]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp12
| epred20_0
| epred31_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp29
| hskp0
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp18
| hskp15
| epred41_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_356]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp12
| epred20_0
| epred24_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_353]) ).
cnf(c_0_492,negated_conjecture,
( ~ epred49_0
| epred36_0
| epred43_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_359]),c_0_360]) ).
cnf(c_0_493,negated_conjecture,
( epred13_0
| epred21_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_248]),c_0_362]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp0
| epred11_0
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_363,c_0_364]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp0
| epred17_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_364]) ).
cnf(c_0_496,negated_conjecture,
( epred21_0
| epred28_0
| epred33_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_248]),c_0_367]) ).
cnf(c_0_497,negated_conjecture,
( epred21_0
| epred33_0
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_498,negated_conjecture,
( epred21_0
| epred30_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_370]),c_0_250]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp21
| hskp22
| epred20_0
| epred29_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_371]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp15
| epred26_0
| epred32_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp15
| epred32_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_373]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp0
| hskp4
| hskp18
| epred16_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_375]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp4
| hskp21
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_376]),c_0_347]),c_0_377]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp18
| hskp21
| epred25_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_378]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp12
| epred23_0
| epred43_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp21
| epred15_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp0
| hskp4
| epred16_0
| epred20_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp12
| epred20_0
| epred24_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_385]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp12
| epred15_0
| epred20_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_386]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp21
| epred8_0
| epred20_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_371]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp21
| epred20_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_371]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp0
| hskp1
| hskp4
| epred12_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_388]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp23
| hskp4
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_514,negated_conjecture,
( hskp9
| epred1_0
| epred13_0
| epred21_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_389]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp15
| hskp1
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_54]),c_0_55]),c_0_57]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp17
| hskp18
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp0
| hskp25
| epred38_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp17
| hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_519,negated_conjecture,
( epred43_0
| epred51_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_147]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp18
| hskp12
| epred7_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_393]) ).
cnf(c_0_521,negated_conjecture,
( epred13_0
| epred21_0
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_271]) ).
cnf(c_0_522,negated_conjecture,
( ~ epred52_0
| ~ epred53_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp13
| epred24_0
| epred55_0 ),
inference(spm,[status(thm)],[c_0_398,c_0_399]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp4
| epred53_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_171]),c_0_376]),c_0_377]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp1
| ~ c3_1(a899)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_343]),c_0_401]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp5
| epred6_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp23
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_528,negated_conjecture,
( ~ c2_1(a907)
| ~ hskp7
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_9]),c_0_71]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp15
| epred26_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_404]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp0
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_204]),c_0_174]),c_0_175]) ).
cnf(c_0_531,negated_conjecture,
( ~ c0_1(a928)
| ~ hskp17
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_87]),c_0_88]) ).
cnf(c_0_532,negated_conjecture,
( epred26_0
| epred43_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_95]),c_0_147]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp6
| epred17_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_329]) ).
cnf(c_0_534,negated_conjecture,
( ~ c3_1(a929)
| ~ hskp18
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_237]),c_0_168]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp1
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_343]),c_0_336]),c_0_401]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp6
| epred15_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_329]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp13
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_78]),c_0_273]),c_0_274]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp2
| hskp9
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_51]),c_0_408]),c_0_409]) ).
cnf(c_0_539,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| hskp1
| hskp13
| epred8_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_78]) ).
cnf(c_0_540,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp1
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_410,c_0_20])]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp20
| epred13_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_79]),c_0_210]) ).
cnf(c_0_542,negated_conjecture,
( ~ epred15_0
| ~ epred57_0
| ~ epred60_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_412,c_0_227]),c_0_107]),c_0_99]) ).
cnf(c_0_543,negated_conjecture,
( ~ epred24_0
| ~ epred26_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_413,c_0_228]),c_0_24]),c_0_142]) ).
cnf(c_0_544,negated_conjecture,
( ~ epred11_0
| ~ epred30_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_414,c_0_229]),c_0_84]),c_0_4]) ).
cnf(c_0_545,negated_conjecture,
( ~ epred43_0
| ~ epred54_0
| ~ epred55_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_415,c_0_137]),c_0_58]),c_0_6]) ).
cnf(c_0_546,negated_conjecture,
( ~ epred43_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_416,c_0_199]),c_0_6]) ).
cnf(c_0_547,negated_conjecture,
( ~ epred43_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_417,c_0_232]),c_0_6]) ).
cnf(c_0_548,negated_conjecture,
( ~ epred38_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_418,c_0_138]),c_0_167]) ).
cnf(c_0_549,negated_conjecture,
( ~ epred42_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_419,c_0_61]),c_0_6]) ).
cnf(c_0_550,negated_conjecture,
( ~ epred21_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_141]),c_0_22]) ).
cnf(c_0_551,negated_conjecture,
( ~ epred39_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_59]),c_0_275]) ).
cnf(c_0_552,negated_conjecture,
( ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_422,c_0_123]),c_0_167]) ).
cnf(c_0_553,negated_conjecture,
( ~ epred15_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_423,c_0_19]),c_0_99]) ).
cnf(c_0_554,negated_conjecture,
( ~ epred34_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_424,c_0_127]),c_0_3]) ).
cnf(c_0_555,negated_conjecture,
( ~ epred4_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_425,c_0_166]),c_0_130]) ).
cnf(c_0_556,negated_conjecture,
( ~ epred29_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_426,c_0_32]),c_0_68]) ).
cnf(c_0_557,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_427,c_0_32]),c_0_4]) ).
cnf(c_0_558,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_33]),c_0_30]) ).
cnf(c_0_559,negated_conjecture,
( ~ epred25_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_429,c_0_131]),c_0_24]) ).
cnf(c_0_560,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_430,c_0_60]),c_0_142]) ).
cnf(c_0_561,negated_conjecture,
( ~ epred6_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_431,c_0_136]),c_0_35]) ).
cnf(c_0_562,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_432,c_0_69]),c_0_22]) ).
cnf(c_0_563,negated_conjecture,
( ~ epred16_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_433,c_0_98]),c_0_134]) ).
cnf(c_0_564,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_434,c_0_85]),c_0_99]) ).
cnf(c_0_565,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_435,c_0_177]),c_0_23]) ).
cnf(c_0_566,negated_conjecture,
( ~ epred8_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_436,c_0_132]),c_0_41]) ).
cnf(c_0_567,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_437,c_0_133]),c_0_41]) ).
cnf(c_0_568,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_438,c_0_29]),c_0_34]) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp10
| ~ c2_1(a910) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp10
| ~ c0_1(a910) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_571,negated_conjecture,
( hskp25
| hskp21
| hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_572,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_439,c_0_440,c_0_441,c_0_442,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_310,c_0_195,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_314,c_0_497,c_0_498,c_0_160,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_193,c_0_506,c_0_382,c_0_507,c_0_508,c_0_509,c_0_235,c_0_510,c_0_511,c_0_371,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_271,c_0_523,c_0_524,c_0_379,c_0_352,c_0_161,c_0_525,c_0_374,c_0_526,c_0_159,c_0_527,c_0_528,c_0_529,c_0_157,c_0_530,c_0_531,c_0_532,c_0_533,c_0_357,c_0_534,c_0_535,c_0_536,c_0_365,c_0_381,c_0_537,c_0_538,c_0_539,c_0_540,c_0_341,c_0_38,c_0_116,c_0_140,c_0_173,c_0_262,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_396,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_554,c_0_164,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_52,c_0_49,c_0_50,c_0_120,c_0_83,c_0_81,c_0_251,c_0_202,c_0_211,c_0_411,c_0_170,c_0_88,c_0_115,c_0_172,c_0_569,c_0_570,c_0_189,c_0_188,c_0_377,c_0_409,c_0_408,c_0_401,c_0_175,c_0_17,c_0_92,c_0_119,c_0_71,c_0_216,c_0_91,c_0_210,c_0_169,c_0_279,c_0_376,c_0_204,c_0_201,c_0_168,c_0_114,c_0_174,c_0_162,c_0_571,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN474+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 11:06:14 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 22.63/3.76 % Version: 3.5.1
% 22.63/3.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.63/3.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.63/3.76 % Starting new_bool_3 with 300s (1) cores
% 22.63/3.76 % Starting new_bool_1 with 300s (1) cores
% 22.63/3.76 % Starting sh5l with 300s (1) cores
% 22.63/3.76 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2965711 completed with status 0
% 22.63/3.76 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.63/3.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.63/3.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.63/3.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.63/3.76 % No SInE strategy applied
% 22.63/3.76 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.63/3.76 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.63/3.76 % Starting SubtermCWHack with 151s (1) cores
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 22.63/3.76 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 22.63/3.76 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 22.63/3.76 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2965719 completed with status 0
% 22.63/3.76 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.63/3.76 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.63/3.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.63/3.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.63/3.76 % No SInE strategy applied
% 22.63/3.76 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.63/3.76 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.63/3.76 % Starting SubtermCWHack with 151s (1) cores
% 22.63/3.76 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.63/3.76 % Preprocessing time : 0.002 s
% 22.63/3.76 % SatCheck found unsatisfiable ground set
% 22.63/3.76
% 22.63/3.76 % Proof found!
% 22.63/3.76 % SZS status Theorem
% 22.63/3.76 % SZS output start CNFRefutation
% See solution above
% 22.63/3.76 % Parsed axioms : 1
% 22.63/3.76 % Removed by relevancy pruning/SinE : 0
% 22.63/3.76 % Initial clauses : 200
% 22.63/3.76 % Removed in clause preprocessing : 0
% 22.63/3.76 % Initial clauses in saturation : 200
% 22.63/3.76 % Processed clauses : 7360
% 22.63/3.76 % ...of these trivial : 0
% 22.63/3.76 % ...subsumed : 2360
% 22.63/3.76 % ...remaining for further processing : 5000
% 22.63/3.76 % Other redundant clauses eliminated : 0
% 22.63/3.76 % Clauses deleted for lack of memory : 0
% 22.63/3.76 % Backward-subsumed : 742
% 22.63/3.76 % Backward-rewritten : 56
% 22.63/3.76 % Generated clauses : 83342
% 22.63/3.76 % ...of the previous two non-redundant : 78033
% 22.63/3.76 % ...aggressively subsumed : 0
% 22.63/3.76 % Contextual simplify-reflections : 569
% 22.63/3.76 % Paramodulations : 83242
% 22.63/3.76 % Factorizations : 0
% 22.63/3.76 % NegExts : 0
% 22.63/3.76 % Equation resolutions : 0
% 22.63/3.76 % Disequality decompositions : 0
% 22.63/3.76 % Total rewrite steps : 94
% 22.63/3.76 % ...of those cached : 93
% 22.63/3.76 % Propositional unsat checks : 1
% 22.63/3.76 % Propositional check models : 0
% 22.63/3.76 % Propositional check unsatisfiable : 1
% 22.63/3.76 % Propositional clauses : 74671
% 22.63/3.76 % Propositional clauses after purity: 74183
% 22.63/3.76 % Propositional unsat core size : 197
% 22.63/3.76 % Propositional preprocessing time : 0.000
% 22.63/3.76 % Propositional encoding time : 0.056
% 22.63/3.76 % Propositional solver time : 0.180
% 22.63/3.76 % Success case prop preproc time : 0.000
% 22.63/3.76 % Success case prop encoding time : 0.056
% 22.63/3.76 % Success case prop solver time : 0.180
% 22.63/3.76 % Current number of processed clauses : 4162
% 22.63/3.76 % Positive orientable unit clauses : 1
% 22.63/3.76 % Positive unorientable unit clauses: 0
% 22.63/3.76 % Negative unit clauses : 0
% 22.63/3.76 % Non-unit-clauses : 4161
% 22.63/3.76 % Current number of unprocessed clauses: 70509
% 22.63/3.76 % ...number of literals in the above : 490309
% 22.63/3.76 % Current number of archived formulas : 0
% 22.63/3.76 % Current number of archived clauses : 798
% 22.63/3.76 % Clause-clause subsumption calls (NU) : 4460635
% 22.63/3.76 % Rec. Clause-clause subsumption calls : 248175
% 22.63/3.76 % Non-unit clause-clause subsumptions : 3729
% 22.63/3.76 % Unit Clause-clause subsumption calls : 5
% 22.63/3.76 % Rewrite failures with RHS unbound : 0
% 22.63/3.76 % BW rewrite match attempts : 1
% 22.63/3.76 % BW rewrite match successes : 1
% 22.63/3.76 % Condensation attempts : 7360
% 22.63/3.76 % Condensation successes : 0
% 22.63/3.76 % Termbank termtop insertions : 825492
% 22.63/3.76 % Search garbage collected termcells : 2082
% 22.63/3.76
% 22.63/3.76 % -------------------------------------------------
% 22.63/3.76 % User time : 3.160 s
% 22.63/3.76 % System time : 0.110 s
% 22.63/3.76 % Total time : 3.270 s
% 22.63/3.76 % Maximum resident set size: 4700 pages
% 22.63/3.76
% 22.63/3.76 % -------------------------------------------------
% 22.63/3.76 % User time : 15.632 s
% 22.63/3.76 % System time : 0.404 s
% 22.63/3.76 % Total time : 16.036 s
% 22.63/3.76 % Maximum resident set size: 4864 pages
% 22.63/3.76 % E exiting
%------------------------------------------------------------------------------