%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN472+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 03:24:58 PM UTC 2026
% Result : Theorem 22.13s 3.88s
% Output : CNFRefutation 22.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 53
% Syntax : Number of formulae : 623 ( 2 unt; 0 def)
% Number of atoms : 5564 ( 0 equ)
% Maximal formula atoms : 806 ( 8 avg)
% Number of connectives : 7223 (2282 ~;3767 |; 780 &)
% ( 52 <=>; 342 =>; 0 <=; 0 <~>)
% Maximal formula depth : 312 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 89 ( 88 usr; 85 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 737 ( 0 sgn 508 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp12
| hskp20
| hskp13 )
& ( hskp1
| hskp20
| hskp30 )
& ( hskp21
| hskp18
| hskp23 )
& ( hskp13
| hskp23
| hskp11 )
& ( hskp13
| hskp7
| hskp29 )
& ( hskp26
| hskp7
| hskp14 )
& ( hskp22
| hskp25
| hskp28 )
& ( hskp12
| hskp30
| hskp28 )
& ( hskp20
| hskp30
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c1_1(X114)
| ~ c0_1(X114) ) ) )
& ( hskp18
| hskp27
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp24
| hskp23
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| ~ c0_1(X112) ) ) )
& ( hskp20
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c1_1(X110)
| c3_1(X110) ) ) )
& ( hskp22
| hskp21
| ! [X109] :
( ndr1_0
=> ( ~ c2_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c1_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp15
| hskp16
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c0_1(X106)
| c3_1(X106) ) ) )
& ( hskp7
| hskp11
| ! [X105] :
( ndr1_0
=> ( ~ c1_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp20
| hskp16
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| c2_1(X104) ) ) )
& ( hskp19
| hskp18
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c1_1(X103)
| c2_1(X103) ) ) )
& ( hskp17
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) ) )
& ( hskp28
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c1_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp1
| hskp5
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp30
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| ~ c0_1(X97) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp17
| hskp29
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) ) )
& ( hskp13
| hskp7
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( hskp16
| hskp7
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) ) )
& ( hskp16
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| ~ c0_1(X89)
| c1_1(X89) ) ) )
& ( hskp14
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c2_1(X87)
| c3_1(X87)
| c1_1(X87) ) ) )
& ( hskp28
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp12
| hskp15
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp30
| hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| c3_1(X83)
| c1_1(X83) ) ) )
& ( hskp3
| hskp14
| ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp0
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c0_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp1
| hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp13
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp12
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| ~ c0_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp3
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c0_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c1_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c2_1(X68)
| c0_1(X68) ) ) )
& ( hskp11
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp4
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp5
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp8
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c2_1(X58)
| ~ c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp6
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| c2_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp10
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| c3_1(X48)
| c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp28
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| c3_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c2_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c0_1(X38)
| c3_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c1_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( hskp29
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c0_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp9
| hskp3
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp8
| hskp5
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp7
| hskp2
| ! [X30] :
( ndr1_0
=> ( c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp27
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| ~ c0_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| c3_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c3_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp6
| hskp5
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp0
| ! [X17] :
( ndr1_0
=> ( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp2
| ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ~ c2_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c1_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp28
| ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp27
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c2_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| hskp0
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp27
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a733)
& c2_1(a733)
& c1_1(a733)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a713)
& c2_1(a713)
& c0_1(a713)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a695)
& c1_1(a695)
& c0_1(a695)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a691)
& c1_1(a691)
& c0_1(a691)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c1_1(a777)
& ~ c0_1(a777)
& c3_1(a777)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c0_1(a773)
& c2_1(a773)
& c1_1(a773)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a764)
& ~ c2_1(a764)
& c1_1(a764)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a763)
& ~ c1_1(a763)
& c0_1(a763)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a761)
& ~ c0_1(a761)
& c1_1(a761)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a760)
& c3_1(a760)
& c1_1(a760)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a754)
& ~ c0_1(a754)
& c2_1(a754)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a752)
& ~ c2_1(a752)
& c0_1(a752)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a751)
& ~ c1_1(a751)
& c0_1(a751)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a744)
& ~ c2_1(a744)
& ~ c1_1(a744)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a738)
& c3_1(a738)
& c2_1(a738)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a734)
& ~ c1_1(a734)
& c3_1(a734)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a730)
& c1_1(a730)
& c0_1(a730)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a726)
& ~ c0_1(a726)
& c1_1(a726)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a725)
& ~ c1_1(a725)
& ~ c0_1(a725)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a722)
& c3_1(a722)
& c0_1(a722)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a717)
& c3_1(a717)
& c1_1(a717)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a712)
& ~ c1_1(a712)
& ~ c0_1(a712)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a710)
& c3_1(a710)
& c2_1(a710)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a708)
& c2_1(a708)
& c1_1(a708)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a702)
& c3_1(a702)
& c0_1(a702)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a701)
& c2_1(a701)
& c0_1(a701)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a698)
& ~ c2_1(a698)
& ~ c0_1(a698)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a697)
& c2_1(a697)
& c0_1(a697)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a696)
& c1_1(a696)
& c0_1(a696)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a693)
& ~ c1_1(a693)
& c2_1(a693)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a692)
& ~ c0_1(a692)
& c2_1(a692)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp12
| hskp20
| hskp13 )
& ( hskp1
| hskp20
| hskp30 )
& ( hskp21
| hskp18
| hskp23 )
& ( hskp13
| hskp23
| hskp11 )
& ( hskp13
| hskp7
| hskp29 )
& ( hskp26
| hskp7
| hskp14 )
& ( hskp22
| hskp25
| hskp28 )
& ( hskp12
| hskp30
| hskp28 )
& ( hskp20
| hskp30
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c1_1(X114)
| ~ c0_1(X114) ) ) )
& ( hskp18
| hskp27
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp24
| hskp23
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| ~ c0_1(X112) ) ) )
& ( hskp20
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c1_1(X110)
| c3_1(X110) ) ) )
& ( hskp22
| hskp21
| ! [X109] :
( ndr1_0
=> ( ~ c2_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c1_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp15
| hskp16
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c0_1(X106)
| c3_1(X106) ) ) )
& ( hskp7
| hskp11
| ! [X105] :
( ndr1_0
=> ( ~ c1_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp20
| hskp16
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| c2_1(X104) ) ) )
& ( hskp19
| hskp18
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c1_1(X103)
| c2_1(X103) ) ) )
& ( hskp17
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) ) )
& ( hskp28
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c1_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp1
| hskp5
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp30
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| ~ c0_1(X97) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp17
| hskp29
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) ) )
& ( hskp13
| hskp7
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( hskp16
| hskp7
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) ) )
& ( hskp16
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| ~ c0_1(X89)
| c1_1(X89) ) ) )
& ( hskp14
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c2_1(X87)
| c3_1(X87)
| c1_1(X87) ) ) )
& ( hskp28
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp12
| hskp15
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp30
| hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| c3_1(X83)
| c1_1(X83) ) ) )
& ( hskp3
| hskp14
| ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp0
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c0_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp1
| hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp13
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp12
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| ~ c0_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp3
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c0_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c1_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c2_1(X68)
| c0_1(X68) ) ) )
& ( hskp11
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp4
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp5
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp8
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c2_1(X58)
| ~ c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp6
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| c2_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp10
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| c3_1(X48)
| c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp28
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| c3_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c2_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c0_1(X38)
| c3_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c1_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( hskp29
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c0_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp9
| hskp3
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp8
| hskp5
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp7
| hskp2
| ! [X30] :
( ndr1_0
=> ( c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp27
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| ~ c0_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| c3_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c3_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp6
| hskp5
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp0
| ! [X17] :
( ndr1_0
=> ( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp2
| ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ~ c2_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c1_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp28
| ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp27
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c2_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| hskp0
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp27
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a733)
& c2_1(a733)
& c1_1(a733)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a713)
& c2_1(a713)
& c0_1(a713)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a695)
& c1_1(a695)
& c0_1(a695)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a691)
& c1_1(a691)
& c0_1(a691)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c1_1(a777)
& ~ c0_1(a777)
& c3_1(a777)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c0_1(a773)
& c2_1(a773)
& c1_1(a773)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a764)
& ~ c2_1(a764)
& c1_1(a764)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a763)
& ~ c1_1(a763)
& c0_1(a763)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a761)
& ~ c0_1(a761)
& c1_1(a761)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a760)
& c3_1(a760)
& c1_1(a760)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a754)
& ~ c0_1(a754)
& c2_1(a754)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a752)
& ~ c2_1(a752)
& c0_1(a752)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a751)
& ~ c1_1(a751)
& c0_1(a751)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a744)
& ~ c2_1(a744)
& ~ c1_1(a744)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a738)
& c3_1(a738)
& c2_1(a738)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a734)
& ~ c1_1(a734)
& c3_1(a734)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a730)
& c1_1(a730)
& c0_1(a730)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a726)
& ~ c0_1(a726)
& c1_1(a726)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a725)
& ~ c1_1(a725)
& ~ c0_1(a725)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a722)
& c3_1(a722)
& c0_1(a722)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a717)
& c3_1(a717)
& c1_1(a717)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a712)
& ~ c1_1(a712)
& ~ c0_1(a712)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a710)
& c3_1(a710)
& c2_1(a710)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a708)
& c2_1(a708)
& c1_1(a708)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a702)
& c3_1(a702)
& c0_1(a702)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a701)
& c2_1(a701)
& c0_1(a701)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a698)
& ~ c2_1(a698)
& ~ c0_1(a698)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a697)
& c2_1(a697)
& c0_1(a697)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a696)
& c1_1(a696)
& c0_1(a696)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a693)
& ~ c1_1(a693)
& c2_1(a693)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a692)
& ~ c0_1(a692)
& c2_1(a692)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp12
| hskp20
| hskp13 )
& ( hskp1
| hskp20
| hskp30 )
& ( hskp21
| hskp18
| hskp23 )
& ( hskp13
| hskp23
| hskp11 )
& ( hskp13
| hskp7
| hskp29 )
& ( hskp26
| hskp7
| hskp14 )
& ( hskp22
| hskp25
| hskp28 )
& ( hskp12
| hskp30
| hskp28 )
& ( hskp20
| hskp30
| ! [X114] :
( ndr1_0
=> ( ~ c3_1(X114)
| ~ c1_1(X114)
| ~ c0_1(X114) ) ) )
& ( hskp18
| hskp27
| ! [X113] :
( ndr1_0
=> ( ~ c3_1(X113)
| ~ c1_1(X113)
| ~ c0_1(X113) ) ) )
& ( hskp24
| hskp23
| ! [X112] :
( ndr1_0
=> ( ~ c2_1(X112)
| ~ c1_1(X112)
| ~ c0_1(X112) ) ) )
& ( hskp20
| ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ~ c2_1(X111)
| ~ c0_1(X111) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c2_1(X110)
| ~ c1_1(X110)
| c3_1(X110) ) ) )
& ( hskp22
| hskp21
| ! [X109] :
( ndr1_0
=> ( ~ c2_1(X109)
| ~ c0_1(X109)
| c3_1(X109) ) ) )
& ( hskp3
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| ~ c2_1(X108)
| ~ c1_1(X108) ) )
| ! [X107] :
( ndr1_0
=> ( ~ c2_1(X107)
| ~ c0_1(X107)
| c3_1(X107) ) ) )
& ( hskp15
| hskp16
| ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c0_1(X106)
| c3_1(X106) ) ) )
& ( hskp7
| hskp11
| ! [X105] :
( ndr1_0
=> ( ~ c1_1(X105)
| ~ c0_1(X105)
| c3_1(X105) ) ) )
& ( hskp20
| hskp16
| ! [X104] :
( ndr1_0
=> ( ~ c3_1(X104)
| ~ c1_1(X104)
| c2_1(X104) ) ) )
& ( hskp19
| hskp18
| ! [X103] :
( ndr1_0
=> ( ~ c3_1(X103)
| ~ c1_1(X103)
| c2_1(X103) ) ) )
& ( hskp17
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ) )
| ! [X101] :
( ndr1_0
=> ( ~ c3_1(X101)
| ~ c1_1(X101)
| c2_1(X101) ) ) )
& ( hskp28
| ! [X100] :
( ndr1_0
=> ( ~ c3_1(X100)
| ~ c2_1(X100)
| ~ c1_1(X100) ) )
| ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| ~ c0_1(X99)
| c2_1(X99) ) ) )
& ( hskp1
| hskp5
| ! [X98] :
( ndr1_0
=> ( ~ c1_1(X98)
| ~ c0_1(X98)
| c2_1(X98) ) ) )
& ( hskp30
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| ~ c2_1(X97)
| ~ c0_1(X97) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c1_1(X96)
| c3_1(X96)
| c2_1(X96) ) ) )
& ( hskp28
| ! [X95] :
( ndr1_0
=> ( ~ c2_1(X95)
| ~ c1_1(X95)
| c3_1(X95) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ) ) )
& ( hskp17
| hskp29
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| c3_1(X93)
| c2_1(X93) ) ) )
& ( hskp13
| hskp7
| ! [X92] :
( ndr1_0
=> ( ~ c3_1(X92)
| ~ c2_1(X92)
| c1_1(X92) ) ) )
& ( hskp16
| hskp7
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c0_1(X91)
| c1_1(X91) ) ) )
& ( hskp16
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| ~ c0_1(X89)
| c1_1(X89) ) ) )
& ( hskp14
| ! [X88] :
( ndr1_0
=> ( ~ c3_1(X88)
| ~ c2_1(X88)
| ~ c0_1(X88) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c2_1(X87)
| c3_1(X87)
| c1_1(X87) ) ) )
& ( hskp28
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c3_1(X86)
| c2_1(X86) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c2_1(X85)
| c3_1(X85)
| c1_1(X85) ) ) )
& ( hskp12
| hskp15
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| c3_1(X84)
| c1_1(X84) ) ) )
& ( hskp30
| hskp14
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| c3_1(X83)
| c1_1(X83) ) ) )
& ( hskp3
| hskp14
| ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| c3_1(X82)
| c1_1(X82) ) ) )
& ( hskp0
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c0_1(X81)
| c2_1(X81) ) )
| ! [X80] :
( ndr1_0
=> ( ~ c0_1(X80)
| c3_1(X80)
| c1_1(X80) ) ) )
& ( hskp1
| hskp3
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| c2_1(X79)
| c1_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c2_1(X77)
| c1_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| c2_1(X76)
| c1_1(X76) ) ) )
& ( hskp13
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c1_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp12
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| ~ c0_1(X73)
| c2_1(X73) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp3
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c0_1(X71)
| c2_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c1_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c2_1(X68)
| c0_1(X68) ) ) )
& ( hskp11
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) ) )
& ( hskp4
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c2_1(X62)
| c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ) ) )
& ( hskp5
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c2_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c1_1(X59)
| c0_1(X59) ) ) )
& ( hskp8
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| ~ c2_1(X58)
| ~ c1_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c0_1(X57) ) ) )
& ( hskp6
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| c3_1(X56)
| c2_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c2_1(X55)
| c3_1(X55)
| c0_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| c2_1(X53)
| c1_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c2_1(X52)
| c3_1(X52)
| c0_1(X52) ) ) )
& ( hskp10
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c2_1(X50)
| c3_1(X50)
| c0_1(X50) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c0_1(X49)
| c2_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| c3_1(X48)
| c0_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp28
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c2_1(X46)
| ~ c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| c2_1(X45)
| c0_1(X45) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| c3_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| ! [X41] :
( ndr1_0
=> ( ~ c0_1(X41)
| c2_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c0_1(X38)
| c3_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c1_1(X37)
| c2_1(X37)
| c0_1(X37) ) ) )
& ( hskp29
| ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c2_1(X36)
| c1_1(X36) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c1_1(X35)
| c2_1(X35)
| c0_1(X35) ) ) )
& ( hskp29
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c1_1(X34)
| c0_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c2_1(X33)
| c0_1(X33) ) ) )
& ( hskp9
| hskp3
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( hskp8
| hskp5
| ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| c2_1(X31)
| c0_1(X31) ) ) )
& ( hskp7
| hskp2
| ! [X30] :
( ndr1_0
=> ( c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp27
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| ~ c0_1(X27)
| c3_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| ~ c0_1(X25)
| c2_1(X25) ) )
| ! [X24] :
( ndr1_0
=> ( c3_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( hskp6
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| c3_1(X23)
| c0_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c3_1(X22)
| c2_1(X22)
| c0_1(X22) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| c2_1(X21)
| c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp6
| hskp5
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp0
| ! [X17] :
( ndr1_0
=> ( ~ c1_1(X17)
| c3_1(X17)
| c2_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp3
| ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| c2_1(X15)
| c0_1(X15) ) )
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp4
| hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| c1_1(X13)
| c0_1(X13) ) ) )
& ( hskp2
| ! [X12] :
( ndr1_0
=> ( ~ c3_1(X12)
| ~ c2_1(X12)
| c1_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c2_1(X11)
| c1_1(X11)
| c0_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c2_1(X10)
| ~ c1_1(X10)
| c3_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| c3_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( hskp28
| ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c2_1(X7)
| c1_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| c1_1(X6)
| c0_1(X6) ) ) )
& ( hskp27
| ! [X5] :
( ndr1_0
=> ( ~ c1_1(X5)
| c2_1(X5)
| c0_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( hskp1
| hskp0
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( hskp27
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a733)
& c2_1(a733)
& c1_1(a733)
& ndr1_0 )
| ~ hskp30 )
& ( ( c3_1(a713)
& c2_1(a713)
& c0_1(a713)
& ndr1_0 )
| ~ hskp29 )
& ( ( c2_1(a695)
& c1_1(a695)
& c0_1(a695)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a691)
& c1_1(a691)
& c0_1(a691)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c1_1(a777)
& ~ c0_1(a777)
& c3_1(a777)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c0_1(a773)
& c2_1(a773)
& c1_1(a773)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a764)
& ~ c2_1(a764)
& c1_1(a764)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a763)
& ~ c1_1(a763)
& c0_1(a763)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c2_1(a761)
& ~ c0_1(a761)
& c1_1(a761)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a760)
& c3_1(a760)
& c1_1(a760)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a754)
& ~ c0_1(a754)
& c2_1(a754)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a752)
& ~ c2_1(a752)
& c0_1(a752)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a751)
& ~ c1_1(a751)
& c0_1(a751)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a744)
& ~ c2_1(a744)
& ~ c1_1(a744)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a738)
& c3_1(a738)
& c2_1(a738)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a734)
& ~ c1_1(a734)
& c3_1(a734)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a730)
& c1_1(a730)
& c0_1(a730)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a726)
& ~ c0_1(a726)
& c1_1(a726)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a725)
& ~ c1_1(a725)
& ~ c0_1(a725)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c1_1(a722)
& c3_1(a722)
& c0_1(a722)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a717)
& c3_1(a717)
& c1_1(a717)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c2_1(a712)
& ~ c1_1(a712)
& ~ c0_1(a712)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a710)
& c3_1(a710)
& c2_1(a710)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a708)
& c2_1(a708)
& c1_1(a708)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a702)
& c3_1(a702)
& c0_1(a702)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a701)
& c2_1(a701)
& c0_1(a701)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c3_1(a698)
& ~ c2_1(a698)
& ~ c0_1(a698)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a697)
& c2_1(a697)
& c0_1(a697)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c2_1(a696)
& c1_1(a696)
& c0_1(a696)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c3_1(a693)
& ~ c1_1(a693)
& c2_1(a693)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c1_1(a692)
& ~ c0_1(a692)
& c2_1(a692)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [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,X227,X228] :
( ( hskp12
| hskp20
| hskp13 )
& ( hskp1
| hskp20
| hskp30 )
& ( hskp21
| hskp18
| hskp23 )
& ( hskp13
| hskp23
| hskp11 )
& ( hskp13
| hskp7
| hskp29 )
& ( hskp26
| hskp7
| hskp14 )
& ( hskp22
| hskp25
| hskp28 )
& ( hskp12
| hskp30
| hskp28 )
& ( hskp20
| hskp30
| ~ c3_1(X228)
| ~ c1_1(X228)
| ~ c0_1(X228)
| ~ ndr1_0 )
& ( hskp18
| hskp27
| ~ c3_1(X227)
| ~ c1_1(X227)
| ~ c0_1(X227)
| ~ ndr1_0 )
& ( hskp24
| hskp23
| ~ c2_1(X226)
| ~ c1_1(X226)
| ~ c0_1(X226)
| ~ ndr1_0 )
& ( hskp20
| ~ c3_1(X225)
| ~ c2_1(X225)
| ~ c0_1(X225)
| ~ ndr1_0
| ~ c2_1(X224)
| ~ c1_1(X224)
| c3_1(X224)
| ~ ndr1_0 )
& ( hskp22
| hskp21
| ~ c2_1(X223)
| ~ c0_1(X223)
| c3_1(X223)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X222)
| ~ c2_1(X222)
| ~ c1_1(X222)
| ~ ndr1_0
| ~ c2_1(X221)
| ~ c0_1(X221)
| c3_1(X221)
| ~ ndr1_0 )
& ( hskp15
| hskp16
| ~ c1_1(X220)
| ~ c0_1(X220)
| c3_1(X220)
| ~ ndr1_0 )
& ( hskp7
| hskp11
| ~ c1_1(X219)
| ~ c0_1(X219)
| c3_1(X219)
| ~ ndr1_0 )
& ( hskp20
| hskp16
| ~ c3_1(X218)
| ~ c1_1(X218)
| c2_1(X218)
| ~ ndr1_0 )
& ( hskp19
| hskp18
| ~ c3_1(X217)
| ~ c1_1(X217)
| c2_1(X217)
| ~ ndr1_0 )
& ( hskp17
| ~ c1_1(X216)
| ~ c0_1(X216)
| c3_1(X216)
| ~ ndr1_0
| ~ c3_1(X215)
| ~ c1_1(X215)
| c2_1(X215)
| ~ ndr1_0 )
& ( hskp28
| ~ c3_1(X214)
| ~ c2_1(X214)
| ~ c1_1(X214)
| ~ ndr1_0
| ~ c3_1(X213)
| ~ c0_1(X213)
| c2_1(X213)
| ~ ndr1_0 )
& ( hskp1
| hskp5
| ~ c1_1(X212)
| ~ c0_1(X212)
| c2_1(X212)
| ~ ndr1_0 )
& ( hskp30
| ~ c3_1(X211)
| ~ c2_1(X211)
| ~ c0_1(X211)
| ~ ndr1_0
| ~ c1_1(X210)
| c3_1(X210)
| c2_1(X210)
| ~ ndr1_0 )
& ( hskp28
| ~ c2_1(X209)
| ~ c1_1(X209)
| c3_1(X209)
| ~ ndr1_0
| ~ c1_1(X208)
| c3_1(X208)
| c2_1(X208)
| ~ ndr1_0 )
& ( hskp17
| hskp29
| ~ c0_1(X207)
| c3_1(X207)
| c2_1(X207)
| ~ ndr1_0 )
& ( hskp13
| hskp7
| ~ c3_1(X206)
| ~ c2_1(X206)
| c1_1(X206)
| ~ ndr1_0 )
& ( hskp16
| hskp7
| ~ c2_1(X205)
| ~ c0_1(X205)
| c1_1(X205)
| ~ ndr1_0 )
& ( hskp16
| ~ c2_1(X204)
| ~ c1_1(X204)
| c3_1(X204)
| ~ ndr1_0
| ~ c2_1(X203)
| ~ c0_1(X203)
| c1_1(X203)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X202)
| ~ c2_1(X202)
| ~ c0_1(X202)
| ~ ndr1_0
| ~ c2_1(X201)
| c3_1(X201)
| c1_1(X201)
| ~ ndr1_0 )
& ( hskp28
| ~ c0_1(X200)
| c3_1(X200)
| c2_1(X200)
| ~ ndr1_0
| ~ c2_1(X199)
| c3_1(X199)
| c1_1(X199)
| ~ ndr1_0 )
& ( hskp12
| hskp15
| ~ c0_1(X198)
| c3_1(X198)
| c1_1(X198)
| ~ ndr1_0 )
& ( hskp30
| hskp14
| ~ c0_1(X197)
| c3_1(X197)
| c1_1(X197)
| ~ ndr1_0 )
& ( hskp3
| hskp14
| ~ c0_1(X196)
| c3_1(X196)
| c1_1(X196)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X195)
| ~ c0_1(X195)
| c2_1(X195)
| ~ ndr1_0
| ~ c0_1(X194)
| c3_1(X194)
| c1_1(X194)
| ~ ndr1_0 )
& ( hskp1
| hskp3
| ~ c3_1(X193)
| c2_1(X193)
| c1_1(X193)
| ~ ndr1_0 )
& ( ~ c1_1(X192)
| ~ c0_1(X192)
| c3_1(X192)
| ~ ndr1_0
| ~ c3_1(X191)
| ~ c2_1(X191)
| c1_1(X191)
| ~ ndr1_0
| ~ c3_1(X190)
| c2_1(X190)
| c1_1(X190)
| ~ ndr1_0 )
& ( hskp13
| ~ c0_1(X189)
| c3_1(X189)
| c1_1(X189)
| ~ ndr1_0
| ~ c3_1(X188)
| c2_1(X188)
| c1_1(X188)
| ~ ndr1_0 )
& ( hskp12
| ~ c1_1(X187)
| ~ c0_1(X187)
| c2_1(X187)
| ~ ndr1_0
| ~ c0_1(X186)
| c2_1(X186)
| c1_1(X186)
| ~ ndr1_0 )
& ( hskp3
| ~ c1_1(X185)
| ~ c0_1(X185)
| c2_1(X185)
| ~ ndr1_0
| c3_1(X184)
| c2_1(X184)
| c1_1(X184)
| ~ ndr1_0 )
& ( hskp8
| ~ c3_1(X183)
| ~ c1_1(X183)
| ~ c0_1(X183)
| ~ ndr1_0
| ~ c3_1(X182)
| ~ c2_1(X182)
| c0_1(X182)
| ~ ndr1_0 )
& ( hskp11
| ~ c0_1(X181)
| c3_1(X181)
| c2_1(X181)
| ~ ndr1_0
| ~ c3_1(X180)
| ~ c2_1(X180)
| c0_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 )
& ( hskp4
| ~ c0_1(X176)
| c2_1(X176)
| c1_1(X176)
| ~ ndr1_0
| ~ c3_1(X175)
| ~ c1_1(X175)
| c0_1(X175)
| ~ ndr1_0 )
& ( hskp5
| ~ c1_1(X174)
| ~ c0_1(X174)
| c2_1(X174)
| ~ ndr1_0
| ~ c2_1(X173)
| ~ c1_1(X173)
| c0_1(X173)
| ~ ndr1_0 )
& ( hskp8
| ~ c3_1(X172)
| ~ c2_1(X172)
| ~ c1_1(X172)
| ~ ndr1_0
| ~ c2_1(X171)
| c3_1(X171)
| c0_1(X171)
| ~ ndr1_0 )
& ( hskp6
| ~ c1_1(X170)
| c3_1(X170)
| c2_1(X170)
| ~ ndr1_0
| ~ c2_1(X169)
| c3_1(X169)
| c0_1(X169)
| ~ ndr1_0 )
& ( ~ c0_1(X168)
| c3_1(X168)
| c2_1(X168)
| ~ ndr1_0
| ~ c0_1(X167)
| c2_1(X167)
| c1_1(X167)
| ~ ndr1_0
| ~ c2_1(X166)
| c3_1(X166)
| c0_1(X166)
| ~ ndr1_0 )
& ( hskp10
| ~ c3_1(X165)
| ~ c1_1(X165)
| c0_1(X165)
| ~ ndr1_0
| ~ c2_1(X164)
| c3_1(X164)
| c0_1(X164)
| ~ ndr1_0 )
& ( ~ c3_1(X163)
| ~ c0_1(X163)
| c2_1(X163)
| ~ ndr1_0
| ~ c2_1(X162)
| c3_1(X162)
| c0_1(X162)
| ~ ndr1_0
| ~ c1_1(X161)
| c3_1(X161)
| c0_1(X161)
| ~ ndr1_0 )
& ( hskp28
| ~ c3_1(X160)
| ~ c2_1(X160)
| ~ c1_1(X160)
| ~ ndr1_0
| ~ c3_1(X159)
| c2_1(X159)
| c0_1(X159)
| ~ ndr1_0 )
& ( ~ c2_1(X158)
| c3_1(X158)
| c1_1(X158)
| ~ ndr1_0
| ~ c3_1(X157)
| c2_1(X157)
| c1_1(X157)
| ~ ndr1_0
| ~ c3_1(X156)
| c2_1(X156)
| c0_1(X156)
| ~ ndr1_0 )
& ( hskp5
| ~ c0_1(X155)
| c2_1(X155)
| c1_1(X155)
| ~ ndr1_0
| ~ c3_1(X154)
| c2_1(X154)
| c0_1(X154)
| ~ ndr1_0 )
& ( ~ c2_1(X153)
| ~ c1_1(X153)
| c3_1(X153)
| ~ ndr1_0
| ~ c1_1(X152)
| ~ c0_1(X152)
| c3_1(X152)
| ~ ndr1_0
| ~ c1_1(X151)
| c2_1(X151)
| c0_1(X151)
| ~ ndr1_0 )
& ( hskp29
| ~ c3_1(X150)
| c2_1(X150)
| c1_1(X150)
| ~ ndr1_0
| ~ c1_1(X149)
| c2_1(X149)
| c0_1(X149)
| ~ ndr1_0 )
& ( hskp29
| ~ c2_1(X148)
| ~ c1_1(X148)
| c0_1(X148)
| ~ ndr1_0
| ~ c1_1(X147)
| c2_1(X147)
| c0_1(X147)
| ~ ndr1_0 )
& ( hskp9
| hskp3
| c3_1(X146)
| c2_1(X146)
| c0_1(X146)
| ~ ndr1_0 )
& ( hskp8
| hskp5
| c3_1(X145)
| c2_1(X145)
| c0_1(X145)
| ~ ndr1_0 )
& ( hskp7
| hskp2
| c3_1(X144)
| c2_1(X144)
| c0_1(X144)
| ~ ndr1_0 )
& ( hskp6
| hskp27
| c3_1(X143)
| c2_1(X143)
| c0_1(X143)
| ~ ndr1_0 )
& ( ~ c3_1(X142)
| ~ c2_1(X142)
| ~ c0_1(X142)
| ~ ndr1_0
| ~ c1_1(X141)
| ~ c0_1(X141)
| c3_1(X141)
| ~ ndr1_0
| c3_1(X140)
| c2_1(X140)
| c0_1(X140)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X139)
| ~ c0_1(X139)
| c2_1(X139)
| ~ ndr1_0
| c3_1(X138)
| c2_1(X138)
| c0_1(X138)
| ~ ndr1_0 )
& ( hskp6
| ~ c1_1(X137)
| c3_1(X137)
| c0_1(X137)
| ~ ndr1_0
| c3_1(X136)
| c2_1(X136)
| c0_1(X136)
| ~ ndr1_0 )
& ( c3_1(X135)
| c2_1(X135)
| c1_1(X135)
| ~ ndr1_0
| ~ c1_1(X134)
| c2_1(X134)
| c0_1(X134)
| ~ ndr1_0
| c3_1(X133)
| c2_1(X133)
| c0_1(X133)
| ~ ndr1_0 )
& ( hskp6
| hskp5
| ~ c3_1(X132)
| c1_1(X132)
| c0_1(X132)
| ~ ndr1_0 )
& ( hskp0
| ~ c1_1(X131)
| c3_1(X131)
| c2_1(X131)
| ~ ndr1_0
| ~ c3_1(X130)
| c1_1(X130)
| c0_1(X130)
| ~ ndr1_0 )
& ( hskp3
| ~ c1_1(X129)
| c2_1(X129)
| c0_1(X129)
| ~ ndr1_0
| ~ c3_1(X128)
| c1_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp4
| hskp3
| ~ c2_1(X127)
| c1_1(X127)
| c0_1(X127)
| ~ ndr1_0 )
& ( hskp2
| ~ c3_1(X126)
| ~ c2_1(X126)
| c1_1(X126)
| ~ ndr1_0
| ~ c2_1(X125)
| c1_1(X125)
| c0_1(X125)
| ~ ndr1_0 )
& ( ~ c2_1(X124)
| ~ c1_1(X124)
| c3_1(X124)
| ~ ndr1_0
| ~ c0_1(X123)
| c3_1(X123)
| c1_1(X123)
| ~ ndr1_0
| ~ c2_1(X122)
| c1_1(X122)
| c0_1(X122)
| ~ ndr1_0 )
& ( hskp28
| ~ c0_1(X121)
| c2_1(X121)
| c1_1(X121)
| ~ ndr1_0
| ~ c2_1(X120)
| c1_1(X120)
| c0_1(X120)
| ~ ndr1_0 )
& ( hskp27
| ~ c1_1(X119)
| c2_1(X119)
| c0_1(X119)
| ~ ndr1_0
| ~ c2_1(X118)
| c1_1(X118)
| c0_1(X118)
| ~ ndr1_0 )
& ( hskp1
| hskp0
| c3_1(X117)
| c1_1(X117)
| c0_1(X117)
| ~ ndr1_0 )
& ( hskp27
| ~ c0_1(X116)
| c3_1(X116)
| c1_1(X116)
| ~ ndr1_0
| c3_1(X115)
| c1_1(X115)
| c0_1(X115)
| ~ ndr1_0 )
& ( ~ hskp30
| c3_1(a733) )
& ( ~ hskp30
| c2_1(a733) )
& ( ~ hskp30
| c1_1(a733) )
& ( ~ hskp30
| ndr1_0 )
& ( ~ hskp29
| c3_1(a713) )
& ( ~ hskp29
| c2_1(a713) )
& ( ~ hskp29
| c0_1(a713) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c2_1(a695) )
& ( ~ hskp28
| c1_1(a695) )
& ( ~ hskp28
| c0_1(a695) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| c3_1(a691) )
& ( ~ hskp27
| c1_1(a691) )
& ( ~ hskp27
| c0_1(a691) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| ~ c1_1(a777) )
& ( ~ hskp26
| ~ c0_1(a777) )
& ( ~ hskp26
| c3_1(a777) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c0_1(a773) )
& ( ~ hskp25
| c2_1(a773) )
& ( ~ hskp25
| c1_1(a773) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c3_1(a764) )
& ( ~ hskp24
| ~ c2_1(a764) )
& ( ~ hskp24
| c1_1(a764) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c2_1(a763) )
& ( ~ hskp23
| ~ c1_1(a763) )
& ( ~ hskp23
| c0_1(a763) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c2_1(a761) )
& ( ~ hskp22
| ~ c0_1(a761) )
& ( ~ hskp22
| c1_1(a761) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c0_1(a760) )
& ( ~ hskp21
| c3_1(a760) )
& ( ~ hskp21
| c1_1(a760) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c3_1(a754) )
& ( ~ hskp20
| ~ c0_1(a754) )
& ( ~ hskp20
| c2_1(a754) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c3_1(a752) )
& ( ~ hskp19
| ~ c2_1(a752) )
& ( ~ hskp19
| c0_1(a752) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c3_1(a751) )
& ( ~ hskp18
| ~ c1_1(a751) )
& ( ~ hskp18
| c0_1(a751) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c3_1(a744) )
& ( ~ hskp17
| ~ c2_1(a744) )
& ( ~ hskp17
| ~ c1_1(a744) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c1_1(a738) )
& ( ~ hskp16
| c3_1(a738) )
& ( ~ hskp16
| c2_1(a738) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c2_1(a734) )
& ( ~ hskp15
| ~ c1_1(a734) )
& ( ~ hskp15
| c3_1(a734) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c3_1(a730) )
& ( ~ hskp14
| c1_1(a730) )
& ( ~ hskp14
| c0_1(a730) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c3_1(a726) )
& ( ~ hskp13
| ~ c0_1(a726) )
& ( ~ hskp13
| c1_1(a726) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c3_1(a725) )
& ( ~ hskp12
| ~ c1_1(a725) )
& ( ~ hskp12
| ~ c0_1(a725) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c1_1(a722) )
& ( ~ hskp11
| c3_1(a722) )
& ( ~ hskp11
| c0_1(a722) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c2_1(a717) )
& ( ~ hskp10
| c3_1(a717) )
& ( ~ hskp10
| c1_1(a717) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c2_1(a712) )
& ( ~ hskp9
| ~ c1_1(a712) )
& ( ~ hskp9
| ~ c0_1(a712) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c0_1(a710) )
& ( ~ hskp8
| c3_1(a710) )
& ( ~ hskp8
| c2_1(a710) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c3_1(a708) )
& ( ~ hskp7
| c2_1(a708) )
& ( ~ hskp7
| c1_1(a708) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c2_1(a702) )
& ( ~ hskp6
| c3_1(a702) )
& ( ~ hskp6
| c0_1(a702) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c1_1(a701) )
& ( ~ hskp5
| c2_1(a701) )
& ( ~ hskp5
| c0_1(a701) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c3_1(a698) )
& ( ~ hskp4
| ~ c2_1(a698) )
& ( ~ hskp4
| ~ c0_1(a698) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a697) )
& ( ~ hskp3
| c2_1(a697) )
& ( ~ hskp3
| c0_1(a697) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c2_1(a696) )
& ( ~ hskp2
| c1_1(a696) )
& ( ~ hskp2
| c0_1(a696) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c3_1(a693) )
& ( ~ hskp1
| ~ c1_1(a693) )
& ( ~ hskp1
| c2_1(a693) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c1_1(a692) )
& ( ~ hskp0
| ~ c0_1(a692) )
& ( ~ hskp0
| c2_1(a692) )
& ( ~ hskp0
| ndr1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ hskp1
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( hskp1
| hskp20
| hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
( ~ epred59_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ ndr1_0
| hskp6
| c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
fof(c_0_11,plain,
( ~ epred55_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_12,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_13,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_14,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_15,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_17,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp0 ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
( ~ hskp13
| ~ c0_1(a726) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_21,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred59_0 ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
( ~ hskp13
| ~ c3_1(a726) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp6
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_10])]) ).
cnf(c_0_24,negated_conjecture,
( ~ hskp12
| ~ c0_1(a725) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ hskp12
| ~ c3_1(a725) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp12
| ~ c1_1(a725) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred55_0 ),
inference(split_equiv,[status(thm)],[c_0_11]) ).
fof(c_0_28,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_29,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_30,negated_conjecture,
( ~ hskp18
| ~ c1_1(a751) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp18
| c0_1(a751) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
cnf(c_0_34,negated_conjecture,
( ~ hskp18
| ~ c3_1(a751) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_35,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
cnf(c_0_36,negated_conjecture,
( ~ hskp21
| c1_1(a760) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ hskp21
| c3_1(a760) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_38,negated_conjecture,
( ~ hskp21
| ~ c0_1(a760) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_40,negated_conjecture,
( ~ hskp13
| c1_1(a726) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_41,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_42,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1)
| epred42_0 ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_43,negated_conjecture,
( ~ hskp29
| c0_1(a713) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_44,negated_conjecture,
( ~ hskp29
| c2_1(a713) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
( ~ hskp29
| c3_1(a713) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_46,negated_conjecture,
( ~ hskp0
| ~ c1_1(a692) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_48,negated_conjecture,
( ~ hskp0
| c2_1(a692) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_49,negated_conjecture,
( ~ hskp0
| ~ c0_1(a692) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_50,negated_conjecture,
( hskp0
| c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_10])]) ).
cnf(c_0_51,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( ~ hskp6
| c0_1(a702) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_53,negated_conjecture,
( ~ hskp6
| c3_1(a702) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_54,negated_conjecture,
( ~ hskp6
| ~ c2_1(a702) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_55,negated_conjecture,
( ~ c2_1(a726)
| ~ hskp13
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_56,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| hskp6
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_23]),c_0_22]) ).
cnf(c_0_57,negated_conjecture,
( ~ c2_1(a725)
| ~ hskp12
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_25]) ).
cnf(c_0_58,negated_conjecture,
( ~ hskp12
| c2_1(a725)
| epred55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25]) ).
cnf(c_0_59,negated_conjecture,
( ~ hskp20
| ~ c0_1(a754) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( ~ hskp20
| c2_1(a754) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_61,negated_conjecture,
( ~ hskp20
| ~ c3_1(a754) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_28]) ).
fof(c_0_63,plain,
( ~ epred62_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_64,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_29]) ).
cnf(c_0_65,negated_conjecture,
( ~ hskp23
| c0_1(a763) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_66,negated_conjecture,
( ~ hskp23
| ~ c2_1(a763) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_67,negated_conjecture,
( ~ c2_1(a751)
| ~ hskp18
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( ~ hskp18
| c2_1(a751)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_34]) ).
cnf(c_0_69,negated_conjecture,
( ~ hskp21
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_70,negated_conjecture,
( hskp21
| hskp18
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_71,negated_conjecture,
( ~ c2_1(a726)
| ~ hskp13
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_22]) ).
cnf(c_0_72,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
cnf(c_0_73,negated_conjecture,
( ~ hskp29
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_74,negated_conjecture,
( hskp13
| hskp7
| hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_75,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp4
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_76,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_77,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp11
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_78,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp5
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_79,negated_conjecture,
( ~ hskp0
| ~ c3_1(a692)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_80,negated_conjecture,
( ~ hskp0
| c3_1(a692)
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_21]),c_0_48]) ).
cnf(c_0_81,negated_conjecture,
( ~ hskp13
| hskp0
| c2_1(a726)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_50]),c_0_22]) ).
cnf(c_0_82,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp6
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_83,negated_conjecture,
( ~ hskp6
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_84,negated_conjecture,
( ~ hskp13
| hskp6
| epred1_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp12
| epred55_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_86,negated_conjecture,
( hskp12
| hskp20
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_87,negated_conjecture,
( ~ hskp20
| epred59_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_60]),c_0_61]) ).
cnf(c_0_88,negated_conjecture,
( ~ hskp0
| ~ c3_1(a692)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62]),c_0_48]) ).
cnf(c_0_89,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred62_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_63]),c_0_10])]) ).
cnf(c_0_90,negated_conjecture,
( ~ c0_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_91,negated_conjecture,
( ~ hskp18
| c2_1(a751)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_64]),c_0_32]) ).
cnf(c_0_92,negated_conjecture,
( ~ hskp23
| ~ c1_1(a763) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_93,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_94,negated_conjecture,
( ~ c3_1(a763)
| ~ hskp23
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_65]),c_0_66]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp23
| c3_1(a763)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_65]),c_0_66]) ).
cnf(c_0_96,negated_conjecture,
( ~ hskp18
| epred23_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_97,negated_conjecture,
( hskp18
| hskp23
| epred29_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_98,negated_conjecture,
( ~ hskp13
| hskp6
| epred1_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_56]) ).
cnf(c_0_99,negated_conjecture,
( ~ hskp7
| c1_1(a708) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_100,negated_conjecture,
( ~ hskp7
| c2_1(a708) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_101,negated_conjecture,
( ~ hskp7
| ~ c3_1(a708) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_102,negated_conjecture,
( ~ hskp13
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_40]),c_0_20]),c_0_22]) ).
cnf(c_0_103,negated_conjecture,
( hskp7
| hskp13
| epred42_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_104,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_105,negated_conjecture,
( ~ hskp11
| c0_1(a722) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp11
| c3_1(a722) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_107,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp4
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_75]),c_0_10])]) ).
cnf(c_0_108,negated_conjecture,
( ~ hskp11
| ~ c1_1(a722) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_109,negated_conjecture,
( ~ hskp4
| ~ c0_1(a698) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_110,negated_conjecture,
( ~ hskp4
| ~ c2_1(a698) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp4
| ~ c3_1(a698) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_112,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_76]) ).
cnf(c_0_113,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp11
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_77]),c_0_10])]) ).
fof(c_0_114,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_115,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_116,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_117,plain,
( ~ epred17_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp13
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp5
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_78]),c_0_10])]) ).
fof(c_0_119,plain,
( ~ epred61_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_120,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp0
| c2_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp0
| epred27_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_122,negated_conjecture,
( ~ hskp13
| hskp0
| epred5_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_123,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp6 ),
inference(cn,[status(thm)],[c_0_82]) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp13
| epred1_0
| epred6_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_125,negated_conjecture,
( hskp13
| epred55_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp0
| epred32_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_80]) ).
cnf(c_0_127,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| epred55_0
| epred62_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_27]) ).
fof(c_0_128,plain,
( ~ epred56_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X3)
| c1_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_90]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp18
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_91]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp23
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_64]),c_0_65]),c_0_66]) ).
fof(c_0_132,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_133,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X1)
| ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_93]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp23
| epred6_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_135,negated_conjecture,
( hskp23
| epred23_0
| epred29_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp13
| epred1_0
| epred6_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_98]) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp7
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_99]),c_0_100]),c_0_101]) ).
cnf(c_0_138,negated_conjecture,
( hskp7
| epred2_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
fof(c_0_139,plain,
( ~ epred63_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_140,plain,
( ~ epred60_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_104]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp27
| c1_1(a691) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp27
| c3_1(a691) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp27
| c0_1(a691) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_145,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| hskp27
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_147,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_148,negated_conjecture,
( ~ c2_1(a722)
| ~ hskp11
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_105]),c_0_106]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp11
| c2_1(a722)
| hskp4
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_105]),c_0_108]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp4
| hskp0
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_50]),c_0_110]),c_0_111]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp23
| hskp4
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_65]),c_0_66]),c_0_92]) ).
fof(c_0_152,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_153,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp2
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_154,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| hskp29
| c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_155,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp28
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_156,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp27
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_157,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_158,negated_conjecture,
( ~ ndr1_0
| hskp1
| hskp0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_159,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp22
| hskp21
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_160,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| hskp16
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_161,plain,
( ~ epred57_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_162,negated_conjecture,
( ~ c3_1(a763)
| ~ hskp23
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_112]),c_0_66]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp23
| c3_1(a763)
| hskp11
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_65]),c_0_66]) ).
cnf(c_0_164,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_114]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp10
| c1_1(a717) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp10
| ~ c2_1(a717) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_167,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_115]) ).
cnf(c_0_168,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_116]) ).
fof(c_0_169,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_170,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp13
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_10])]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp5
| ~ c1_1(a701) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp5
| c2_1(a701) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp5
| c0_1(a701) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_174,negated_conjecture,
( ~ c2_1(a722)
| ~ hskp11
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_47]),c_0_106]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp11
| c2_1(a722)
| hskp5
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_108]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp23
| hskp5
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_65]),c_0_66]),c_0_92]) ).
cnf(c_0_177,negated_conjecture,
( hskp13
| hskp23
| hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_178,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp6
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred61_0 ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
cnf(c_0_180,negated_conjecture,
( ~ c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c1_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_181,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp0 ),
inference(cn,[status(thm)],[c_0_120]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp13
| epred5_0
| epred27_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_123,c_0_9]),c_0_41]) ).
cnf(c_0_184,negated_conjecture,
( epred1_0
| epred6_0
| epred55_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_185,negated_conjecture,
( epred2_0
| epred55_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_102,c_0_125]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp13
| epred5_0
| epred32_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_126,c_0_122]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| epred55_0
| epred62_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_127]) ).
cnf(c_0_188,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ epred21_0
| ~ epred23_0
| ~ epred56_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_129,c_0_128]),c_0_13]),c_0_29]) ).
cnf(c_0_190,negated_conjecture,
( epred21_0
| epred29_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_97]),c_0_131]) ).
cnf(c_0_191,negated_conjecture,
( ~ epred6_0
| ~ epred58_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_133,c_0_132]),c_0_8]),c_0_19]) ).
cnf(c_0_192,negated_conjecture,
( epred6_0
| epred23_0
| epred29_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_193,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_194,negated_conjecture,
( epred1_0
| epred6_0
| epred35_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_103]),c_0_137]) ).
cnf(c_0_195,negated_conjecture,
( epred2_0
| epred35_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_196,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred63_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_10])]) ).
cnf(c_0_197,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred60_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_10])]) ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a691)
| ~ hskp27
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp27
| c2_1(a691)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_144]),c_0_143]) ).
cnf(c_0_200,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp27
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_10])]) ).
cnf(c_0_201,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred37_0 ),
inference(split_equiv,[status(thm)],[c_0_146]) ).
cnf(c_0_202,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_147]) ).
fof(c_0_203,plain,
( ~ epred54_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp11
| hskp4
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp23
| hskp0
| epred5_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_206,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp10
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_10])]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp1
| c2_1(a693) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp1
| ~ c3_1(a693) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_209,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp19
| c0_1(a752) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp19
| ~ c2_1(a752) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_212,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp2
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_10])]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp8
| c2_1(a710) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp8
| ~ c0_1(a710) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp16
| c2_1(a738) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp16
| ~ c1_1(a738) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_217,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp20
| hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_218,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp29
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_154]),c_0_10])]) ).
cnf(c_0_219,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp28
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_10])]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp1
| ~ c1_1(a693) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_221,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp12
| hskp15
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_222,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp27
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_156]),c_0_10])]) ).
cnf(c_0_223,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp13
| hskp7
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_224,plain,
( ~ epred64_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp19
| ~ c3_1(a752) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp30
| c1_1(a733) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp30
| c2_1(a733) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp10
| c3_1(a717) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp30
| c3_1(a733) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp17
| ~ c1_1(a744) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp17
| ~ c2_1(a744) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_232,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_157]) ).
fof(c_0_233,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp8
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_234,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_10])]) ).
cnf(c_0_235,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| hskp1
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_10])]) ).
cnf(c_0_236,negated_conjecture,
( ~ ndr1_0
| hskp7
| hskp2
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_237,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp1
| hskp5
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_238,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp7
| hskp11
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_239,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp15
| hskp16
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_240,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| hskp16
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_241,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp19
| hskp18
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_242,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| hskp21
| hskp22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_10])]) ).
cnf(c_0_243,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred56_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_10])]) ).
cnf(c_0_244,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp24
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_245,plain,
( ~ epred52_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp20
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_246,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp30
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_247,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp16
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_10])]) ).
cnf(c_0_248,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred57_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_161]),c_0_10])]) ).
fof(c_0_249,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp17
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_250,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp5
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_251,plain,
( ~ epred36_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp29
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp11
| c2_1(a722)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_112]),c_0_106]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp23
| hskp11
| epred18_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_254,negated_conjecture,
( ~ hskp11
| c2_1(a722)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_105]),c_0_106]) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp23
| hskp11
| epred6_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_163]) ).
cnf(c_0_256,negated_conjecture,
( ~ c0_1(a717)
| ~ hskp10
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp10
| c0_1(a717)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_165]),c_0_166]) ).
cnf(c_0_258,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| epred6_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_168]) ).
cnf(c_0_259,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_169]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp18
| hskp13
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_32]),c_0_30]),c_0_34]) ).
cnf(c_0_261,negated_conjecture,
( ~ c3_1(a701)
| ~ hskp5
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_47]),c_0_172]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp5
| c3_1(a701)
| hskp13
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_173]),c_0_171]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp11
| hskp5
| epred13_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_264,negated_conjecture,
( hskp5
| hskp11
| hskp13
| epred13_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_265,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp6
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_10])]) ).
cnf(c_0_266,negated_conjecture,
( ~ c2_1(a722)
| ~ hskp11
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_31]),c_0_105]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp5
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_31]),c_0_172]),c_0_173]) ).
fof(c_0_268,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ ndr1_0
| hskp3
| c3_1(X1)
| c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_269,negated_conjecture,
( ~ c2_1(a725)
| ~ hskp12
| epred61_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_179]),c_0_24]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp12
| hskp0
| c2_1(a725)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_50]),c_0_25]) ).
cnf(c_0_271,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X2)
| c0_1(X1)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_180]) ).
cnf(c_0_272,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_181,c_0_18]),c_0_19]) ).
cnf(c_0_273,negated_conjecture,
( epred5_0
| epred27_0
| epred55_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_182,c_0_125]) ).
cnf(c_0_274,negated_conjecture,
( epred6_0
| epred55_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_275,negated_conjecture,
( epred5_0
| epred32_0
| epred55_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_125]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp13
| epred55_0
| epred59_0
| epred62_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_187]) ).
cnf(c_0_277,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| c0_1(X2)
| hskp10 ),
inference(cn,[status(thm)],[c_0_188]) ).
cnf(c_0_278,negated_conjecture,
( ~ epred23_0
| ~ epred56_0
| epred29_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_279,negated_conjecture,
( ~ epred58_0
| ~ epred59_0
| epred23_0
| epred29_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_280,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c3_1(X3)
| c1_1(X1)
| c1_1(X2)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_193]) ).
cnf(c_0_281,negated_conjecture,
( epred6_0
| epred35_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_194]),c_0_195]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp23
| epred18_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_162,c_0_95]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp11
| c2_1(a722)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_64]),c_0_105]) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp28
| c0_1(a695) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp28
| c2_1(a695) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_286,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| epred60_0
| epred63_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp27
| epred6_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp12
| hskp27
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_200]),c_0_24]),c_0_25]) ).
cnf(c_0_289,negated_conjecture,
( ~ c2_1(a726)
| ~ hskp13
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_40]),c_0_20]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp23
| c3_1(a763)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_202]),c_0_65]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp18
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_202]),c_0_32]),c_0_34]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp22
| c1_1(a761) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp22
| ~ c0_1(a761) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp22
| ~ c2_1(a761) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp2
| c0_1(a696) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp2
| ~ c2_1(a696) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp2
| c1_1(a696) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_298,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_10])]) ).
cnf(c_0_299,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred27_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_141,c_0_47]) ).
cnf(c_0_300,negated_conjecture,
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_301,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_302,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c3_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_303,negated_conjecture,
( ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_304,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c1_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_305,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp20
| c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_306,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp30
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_307,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp17
| c3_1(X2)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_308,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp16
| c3_1(X2)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_309,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_310,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp8
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_311,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp5
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_312,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp29
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_313,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp11
| c3_1(X2)
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_314,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp4
| c2_1(X2)
| c1_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_315,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp2
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_316,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp29
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_317,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp28
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_318,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp27
| c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_319,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp13
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_320,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp6
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_321,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp5
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_322,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp3
| c2_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_323,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp27
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp11
| hskp0
| epred5_0
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_150,c_0_204]) ).
cnf(c_0_325,negated_conjecture,
( hskp0
| hskp11
| hskp13
| epred5_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_177]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp1
| c0_1(a693)
| hskp10
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).
cnf(c_0_327,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp14
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_10])]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp18
| c2_1(a751)
| hskp4
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_32]),c_0_30]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp19
| c1_1(a752)
| hskp4
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_210]),c_0_211]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp8
| c1_1(a710)
| hskp2
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp16
| c0_1(a738)
| hskp2
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_215]),c_0_216]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp20
| c1_1(a754)
| hskp2
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_60]),c_0_59]) ).
cnf(c_0_333,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp20
| hskp30 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_10])]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp6
| c1_1(a702)
| hskp29
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_53]),c_0_54]) ).
cnf(c_0_335,negated_conjecture,
( ~ hskp1
| c0_1(a693)
| hskp28
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_207]),c_0_220]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp20
| c1_1(a754)
| hskp28
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_60]),c_0_59]) ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp12
| hskp15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_10])]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp1
| c0_1(a693)
| hskp27
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_207]),c_0_220]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp16
| c0_1(a738)
| hskp27
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_215]),c_0_216]) ).
cnf(c_0_340,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| hskp7
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_10])]) ).
cnf(c_0_341,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred64_0 ),
inference(split_equiv,[status(thm)],[c_0_224]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp19
| c1_1(a752)
| hskp13
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_210]),c_0_225]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp16
| c0_1(a738)
| epred61_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_179]),c_0_215]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp30
| c0_1(a733)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_226]),c_0_227]) ).
cnf(c_0_345,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred27_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp26
| ~ c0_1(a777) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_347,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred18_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_112]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp10
| c0_1(a717)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_165]),c_0_228]) ).
cnf(c_0_349,negated_conjecture,
( ~ hskp30
| c0_1(a733)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_226]),c_0_229]) ).
cnf(c_0_350,negated_conjecture,
( ~ hskp1
| c0_1(a693)
| hskp27
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_200]),c_0_208]) ).
cnf(c_0_351,negated_conjecture,
( ~ c0_1(a744)
| ~ hskp17
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_64]),c_0_231]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_40]),c_0_22]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_40]),c_0_20]) ).
cnf(c_0_354,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp8
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_10])]) ).
cnf(c_0_355,negated_conjecture,
( hskp0
| c0_1(X1)
| hskp1
| c3_1(X1)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_356,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp2
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_10])]) ).
cnf(c_0_357,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_10])]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp7
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_10])]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp14
| c1_1(a730) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp16
| c3_1(a738) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp26
| c3_1(a777) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_362,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp15
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_10])]) ).
cnf(c_0_363,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp16
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_10])]) ).
cnf(c_0_364,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp18
| hskp19 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_10])]) ).
cnf(c_0_365,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| hskp21
| hskp22
| epred56_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp3
| c0_1(a697) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_367,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp24 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_10])]) ).
cnf(c_0_368,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp20
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_10])]) ).
cnf(c_0_369,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp30
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_246]),c_0_10])]) ).
cnf(c_0_370,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| hskp16
| epred43_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_371,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| hskp17
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_249]),c_0_10])]) ).
cnf(c_0_372,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| hskp5
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_250]),c_0_10])]) ).
cnf(c_0_373,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp29
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_251]),c_0_10])]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp11
| epred18_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_252]) ).
cnf(c_0_375,negated_conjecture,
( hskp11
| hskp13
| epred18_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_253,c_0_177]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp11
| epred6_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_254]) ).
cnf(c_0_377,negated_conjecture,
( hskp11
| hskp13
| epred6_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_255,c_0_177]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp11
| epred6_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_254]) ).
cnf(c_0_379,negated_conjecture,
( ~ hskp0
| c3_1(a692)
| hskp10
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_48]),c_0_49]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp10
| epred10_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp20
| hskp10
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_60]),c_0_59]),c_0_61]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp10
| epred6_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_228]),c_0_166]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp10
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_165]),c_0_228]),c_0_166]) ).
cnf(c_0_384,negated_conjecture,
( hskp13
| hskp23
| epred17_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_97]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp4
| hskp6
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_23]),c_0_110]),c_0_111]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp5
| hskp13
| epred17_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_387,negated_conjecture,
( hskp5
| hskp13
| epred13_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_388,negated_conjecture,
( ~ c3_1(a701)
| ~ hskp5
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_173]),c_0_172]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp20
| hskp6
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_60]),c_0_59]),c_0_61]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp11
| epred13_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_175]),c_0_267]) ).
cnf(c_0_391,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp3
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_268]),c_0_10])]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp17
| ~ c3_1(a744) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp14
| c0_1(a730) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp14
| ~ c3_1(a730) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp0
| epred61_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_179]),c_0_48]),c_0_49]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp12
| hskp0
| epred5_0
| epred61_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_397,negated_conjecture,
( ~ epred27_0
| ~ epred32_0
| ~ epred62_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_271,c_0_63]),c_0_17]),c_0_28]) ).
cnf(c_0_398,negated_conjecture,
( epred27_0
| epred55_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_399,negated_conjecture,
( epred32_0
| epred55_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_275]),c_0_274]) ).
cnf(c_0_400,negated_conjecture,
( epred55_0
| epred59_0
| epred62_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_125]) ).
cnf(c_0_401,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_277,c_0_152]),c_0_14]) ).
cnf(c_0_402,negated_conjecture,
( ~ epred56_0
| ~ epred58_0
| ~ epred59_0
| epred29_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_403,negated_conjecture,
( ~ epred35_0
| ~ epred60_0
| ~ epred61_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_280,c_0_140]),c_0_15]),c_0_119]) ).
cnf(c_0_404,negated_conjecture,
( ~ epred58_0
| ~ epred59_0
| epred35_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_281]) ).
cnf(c_0_405,negated_conjecture,
( hskp11
| hskp13
| epred18_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_177]) ).
cnf(c_0_406,negated_conjecture,
( hskp11
| hskp13
| epred6_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_177]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp11
| epred21_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_283]) ).
cnf(c_0_408,negated_conjecture,
( hskp11
| hskp13
| epred21_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_177]) ).
cnf(c_0_409,negated_conjecture,
( ~ c2_1(a691)
| ~ hskp27
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_144]),c_0_143]) ).
cnf(c_0_410,negated_conjecture,
( ~ c3_1(a695)
| ~ hskp28
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_284]),c_0_285]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp28
| c3_1(a695)
| epred60_0
| epred63_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_284]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp12
| epred3_0
| epred6_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_413,negated_conjecture,
( hskp12
| hskp30
| hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp30
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_226]),c_0_227]),c_0_229]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp28
| c1_1(a695) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_416,negated_conjecture,
( ~ hskp13
| hskp6
| epred1_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_56]) ).
cnf(c_0_417,negated_conjecture,
( ~ hskp8
| c3_1(a710) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp23
| epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_94,c_0_290]) ).
cnf(c_0_419,negated_conjecture,
( hskp23
| epred4_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_97]) ).
cnf(c_0_420,negated_conjecture,
( ~ c3_1(a761)
| ~ hskp22
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_292]),c_0_293]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp22
| c3_1(a761)
| hskp6
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_23]),c_0_294]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp22
| c3_1(a761)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_292]),c_0_294]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp11
| epred21_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_174,c_0_283]) ).
cnf(c_0_424,negated_conjecture,
( ~ hskp15
| ~ c1_1(a734) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp15
| c3_1(a734) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp15
| ~ c2_1(a734) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp26
| ~ c1_1(a777) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_428,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp2
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_295]),c_0_296]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp2
| c3_1(a696)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_297]),c_0_296]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp24
| c1_1(a764) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp24
| ~ c2_1(a764) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp24
| ~ c3_1(a764) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_433,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| epred23_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_298]) ).
cnf(c_0_434,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred32_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_62]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp29
| epred27_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_45]),c_0_44]) ).
cnf(c_0_436,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X1)
| c1_1(X2)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_300]) ).
cnf(c_0_437,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_301]) ).
cnf(c_0_438,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c3_1(X3)
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_302]) ).
cnf(c_0_439,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c1_1(X2)
| c1_1(X3)
| c0_1(X1)
| c2_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_303]) ).
cnf(c_0_440,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_304]) ).
cnf(c_0_441,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| hskp20 ),
inference(cn,[status(thm)],[c_0_305]) ).
cnf(c_0_442,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp30 ),
inference(cn,[status(thm)],[c_0_306]) ).
cnf(c_0_443,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| hskp17 ),
inference(cn,[status(thm)],[c_0_307]) ).
cnf(c_0_444,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| hskp16 ),
inference(cn,[status(thm)],[c_0_308]) ).
cnf(c_0_445,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[c_0_309]) ).
cnf(c_0_446,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| hskp8 ),
inference(cn,[status(thm)],[c_0_310]) ).
cnf(c_0_447,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X2)
| hskp5 ),
inference(cn,[status(thm)],[c_0_311]) ).
cnf(c_0_448,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp29 ),
inference(cn,[status(thm)],[c_0_312]) ).
cnf(c_0_449,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X1)
| c2_1(X2)
| hskp11 ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_450,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X1)
| c2_1(X2)
| hskp4 ),
inference(cn,[status(thm)],[c_0_314]) ).
cnf(c_0_451,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[c_0_315]) ).
cnf(c_0_452,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp29 ),
inference(cn,[status(thm)],[c_0_316]) ).
cnf(c_0_453,negated_conjecture,
( ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| c2_1(X2)
| hskp28 ),
inference(cn,[status(thm)],[c_0_317]) ).
cnf(c_0_454,negated_conjecture,
( ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp27 ),
inference(cn,[status(thm)],[c_0_318]) ).
cnf(c_0_455,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| hskp13 ),
inference(cn,[status(thm)],[c_0_319]) ).
cnf(c_0_456,negated_conjecture,
( ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| c2_1(X2)
| hskp6 ),
inference(cn,[status(thm)],[c_0_320]) ).
cnf(c_0_457,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp5 ),
inference(cn,[status(thm)],[c_0_321]) ).
cnf(c_0_458,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp3 ),
inference(cn,[status(thm)],[c_0_322]) ).
cnf(c_0_459,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp27 ),
inference(cn,[status(thm)],[c_0_323]) ).
cnf(c_0_460,negated_conjecture,
( hskp13
| hskp0
| epred5_0
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_461,negated_conjecture,
( ~ hskp1
| hskp10
| epred30_0
| c1_1(a693)
| c3_1(a693)
| hskp13
| epred17_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_326]) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp18
| hskp4
| epred28_0
| c1_1(a751)
| c3_1(a751)
| hskp14
| epred41_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp19
| ~ c0_1(a752)
| hskp4
| epred28_0
| c3_1(a752)
| epred63_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_329]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp8
| ~ c3_1(a710)
| hskp2
| epred26_0
| c0_1(a710)
| epred29_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_330]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp16
| ~ c2_1(a738)
| ~ c3_1(a738)
| hskp2
| epred26_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_331]) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp20
| hskp2
| epred26_0
| c0_1(a754)
| c3_1(a754)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_332]) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp20
| ~ c2_1(a754)
| hskp2
| epred26_0
| c3_1(a754)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_332]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp20
| hskp2
| epred26_0
| c0_1(a754)
| c3_1(a754)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_72,c_0_332]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp6
| ~ c0_1(a702)
| ~ c3_1(a702)
| hskp29
| epred24_0
| hskp20
| hskp30 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_470,negated_conjecture,
( ~ hskp1
| hskp28
| epred20_0
| c1_1(a693)
| c3_1(a693)
| hskp13
| epred17_0 ),
inference(spm,[status(thm)],[c_0_170,c_0_335]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp20
| hskp28
| epred20_0
| c0_1(a754)
| c3_1(a754)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_336]) ).
cnf(c_0_472,negated_conjecture,
( ~ hskp1
| hskp27
| epred19_0
| c1_1(a693)
| c3_1(a693)
| hskp12
| hskp15 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_473,negated_conjecture,
( ~ hskp16
| ~ c2_1(a738)
| ~ c3_1(a738)
| hskp27
| epred19_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_339]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp5
| ~ c2_1(a701)
| epred17_0
| c1_1(a701)
| hskp7
| hskp13 ),
inference(spm,[status(thm)],[c_0_340,c_0_262]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp19
| ~ c0_1(a752)
| hskp13
| epred17_0
| c3_1(a752)
| epred64_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp16
| ~ c2_1(a738)
| ~ c3_1(a738)
| epred61_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_343]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp30
| ~ c2_1(a733)
| ~ c3_1(a733)
| epred37_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_344]) ).
cnf(c_0_478,negated_conjecture,
( ~ c2_1(a710)
| ~ c3_1(a710)
| ~ hskp8
| epred27_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_345]) ).
cnf(c_0_479,negated_conjecture,
( ~ c3_1(a777)
| ~ hskp26
| c2_1(a777)
| epred18_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp10
| ~ c3_1(a717)
| epred29_0
| c2_1(a717)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_348]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp30
| ~ c2_1(a733)
| ~ c3_1(a733)
| epred29_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_349]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp1
| ~ c2_1(a693)
| hskp27
| epred3_0
| c3_1(a693)
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_242,c_0_350]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp23
| epred23_0
| c2_1(a763)
| c1_1(a763)
| hskp29
| epred24_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_95]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp17
| c2_1(a744)
| c3_1(a744)
| epred54_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_351,c_0_298]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp13
| epred16_0
| c0_1(a726)
| c3_1(a726)
| hskp10
| epred30_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_352]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp10
| ~ c3_1(a717)
| epred12_0
| c2_1(a717)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_257]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp13
| epred12_0
| c0_1(a726)
| c3_1(a726)
| hskp10
| epred30_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_353]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp13
| hskp6
| epred1_0
| c0_1(a726)
| c3_1(a726)
| hskp8
| epred39_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_56]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp13
| hskp6
| epred1_0
| c0_1(a726)
| c3_1(a726)
| hskp10
| epred30_0 ),
inference(spm,[status(thm)],[c_0_206,c_0_56]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp20
| hskp0
| hskp1
| c3_1(a754)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_59,c_0_355]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp12
| c2_1(a725)
| c3_1(a725)
| hskp2
| hskp7 ),
inference(spm,[status(thm)],[c_0_24,c_0_356]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp2
| ~ c0_1(a696)
| c2_1(a696)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_357,c_0_297]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp10
| ~ c0_1(a717)
| c2_1(a717)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_357,c_0_165]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp14
| ~ c0_1(a730)
| c3_1(a730)
| hskp7
| hskp11 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp11
| ~ c2_1(a722)
| c1_1(a722)
| hskp7
| hskp13 ),
inference(spm,[status(thm)],[c_0_340,c_0_106]) ).
cnf(c_0_496,negated_conjecture,
( ~ hskp16
| ~ c2_1(a738)
| c1_1(a738)
| hskp7
| hskp13 ),
inference(spm,[status(thm)],[c_0_340,c_0_360]) ).
cnf(c_0_497,negated_conjecture,
( ~ hskp26
| ~ c2_1(a777)
| c1_1(a777)
| hskp7
| hskp13 ),
inference(spm,[status(thm)],[c_0_340,c_0_361]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp7
| ~ c0_1(a708)
| c3_1(a708)
| hskp15
| hskp16 ),
inference(spm,[status(thm)],[c_0_362,c_0_99]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp10
| ~ c3_1(a717)
| c2_1(a717)
| hskp16
| hskp20 ),
inference(spm,[status(thm)],[c_0_363,c_0_165]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp2
| ~ c3_1(a696)
| c2_1(a696)
| hskp18
| hskp19 ),
inference(spm,[status(thm)],[c_0_364,c_0_297]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp10
| ~ c3_1(a717)
| c2_1(a717)
| hskp18
| hskp19 ),
inference(spm,[status(thm)],[c_0_364,c_0_165]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp1
| c3_1(a693)
| hskp21
| hskp22
| epred56_0 ),
inference(spm,[status(thm)],[c_0_365,c_0_207]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp3
| ~ c2_1(a697)
| c3_1(a697)
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_242,c_0_366]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp28
| ~ c2_1(a695)
| c3_1(a695)
| hskp21
| hskp22 ),
inference(spm,[status(thm)],[c_0_242,c_0_284]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp10
| ~ c0_1(a717)
| ~ c3_1(a717)
| hskp20
| hskp30 ),
inference(spm,[status(thm)],[c_0_333,c_0_165]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp14
| ~ c2_1(a730)
| ~ c0_1(a730)
| hskp23
| hskp24 ),
inference(spm,[status(thm)],[c_0_367,c_0_359]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp2
| ~ c0_1(a696)
| c3_1(a696)
| epred63_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_297]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp7
| ~ c0_1(a708)
| c3_1(a708)
| epred63_0 ),
inference(spm,[status(thm)],[c_0_196,c_0_99]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp7
| ~ c2_1(a708)
| c3_1(a708)
| hskp20
| epred52_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_99]) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp13
| ~ c2_1(a726)
| c3_1(a726)
| hskp20
| epred52_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_40]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp14
| ~ c2_1(a730)
| c3_1(a730)
| hskp20
| epred52_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_359]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp2
| c2_1(a696)
| c3_1(a696)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_297]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| c3_1(a726)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_40]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp2
| c2_1(a696)
| c3_1(a696)
| hskp30
| epred48_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_297]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| c3_1(a726)
| hskp30
| epred48_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_40]) ).
cnf(c_0_516,negated_conjecture,
( ~ c0_1(a701)
| ~ hskp5
| c3_1(a701)
| epred60_0 ),
inference(spm,[status(thm)],[c_0_171,c_0_197]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp7
| c0_1(a708)
| c3_1(a708)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_99]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp13
| c0_1(a726)
| c3_1(a726)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_234,c_0_40]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp20
| c3_1(a754)
| hskp16
| epred43_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_370,c_0_60]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp7
| ~ c0_1(a708)
| c3_1(a708)
| hskp17
| epred45_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_99]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp14
| ~ c0_1(a730)
| c3_1(a730)
| hskp17
| epred45_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_359]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp7
| ~ c2_1(a708)
| c3_1(a708)
| hskp16
| epred43_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_99]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp13
| ~ c2_1(a726)
| c3_1(a726)
| hskp16
| epred43_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_40]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp0
| c1_1(a692)
| c3_1(a692)
| hskp14
| epred41_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_48]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp1
| c1_1(a693)
| c3_1(a693)
| hskp14
| epred41_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_207]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp5
| c1_1(a701)
| c3_1(a701)
| hskp14
| epred41_0 ),
inference(spm,[status(thm)],[c_0_327,c_0_172]) ).
cnf(c_0_527,negated_conjecture,
( ~ c2_1(a693)
| ~ hskp1
| c3_1(a693)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_248]) ).
cnf(c_0_528,negated_conjecture,
( ~ c2_1(a725)
| ~ hskp12
| c3_1(a725)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_26,c_0_248]) ).
cnf(c_0_529,negated_conjecture,
( ~ c2_1(a725)
| ~ hskp12
| c3_1(a725)
| epred56_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_243]) ).
cnf(c_0_530,negated_conjecture,
( ~ c2_1(a754)
| ~ hskp20
| c3_1(a754)
| epred56_0 ),
inference(spm,[status(thm)],[c_0_59,c_0_243]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp20
| c0_1(a754)
| c3_1(a754)
| hskp8
| epred39_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_60]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp13
| ~ c2_1(a726)
| c0_1(a726)
| hskp5
| epred38_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_40]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp21
| ~ c2_1(a760)
| c0_1(a760)
| hskp5
| epred38_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_36]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp10
| c2_1(a717)
| c0_1(a717)
| hskp29
| epred36_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_165]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| c0_1(a726)
| hskp29
| epred36_0 ),
inference(spm,[status(thm)],[c_0_373,c_0_40]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp12
| c2_1(a725)
| c3_1(a725)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_24,c_0_298]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp13
| c2_1(a726)
| c3_1(a726)
| epred54_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_298]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp19
| hskp11
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_210]),c_0_211]),c_0_225]) ).
cnf(c_0_539,negated_conjecture,
( hskp13
| epred18_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_540,negated_conjecture,
( hskp13
| epred6_0
| epred31_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_541,negated_conjecture,
( hskp13
| epred6_0
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_377]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp0
| hskp10
| epred27_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_79,c_0_379]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp7
| c0_1(a708)
| hskp10
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_100]),c_0_101]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp20
| epred10_0
| epred12_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp20
| epred6_0
| epred14_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_381]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp20
| epred30_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_383,c_0_381]) ).
cnf(c_0_547,negated_conjecture,
( hskp5
| hskp13
| epred13_0
| epred17_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_384]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp23
| hskp6
| epred1_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_151]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp0
| hskp28
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_48]),c_0_49]),c_0_46]) ).
cnf(c_0_550,negated_conjecture,
( hskp13
| epred13_0
| epred17_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_386,c_0_387]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp5
| hskp13
| epred17_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_262]) ).
cnf(c_0_552,negated_conjecture,
( hskp13
| epred17_0
| epred21_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_384]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp20
| epred6_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_389]) ).
cnf(c_0_554,negated_conjecture,
( hskp13
| epred13_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_264]),c_0_267]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp17
| hskp3
| epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_391]),c_0_231]),c_0_392]) ).
cnf(c_0_556,negated_conjecture,
( ~ c0_1(a708)
| ~ hskp7
| epred64_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_99]),c_0_101]) ).
cnf(c_0_557,negated_conjecture,
( ~ hskp14
| epred64_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_359]),c_0_393]),c_0_394]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp12
| epred5_0
| epred61_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_559,negated_conjecture,
( epred55_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_399]),c_0_400]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp13
| epred12_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_55,c_0_353]) ).
cnf(c_0_561,negated_conjecture,
( ~ epred30_0
| ~ epred56_0
| ~ epred58_0
| ~ epred59_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_562,negated_conjecture,
( ~ c3_1(a696)
| ~ hskp2
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_297]),c_0_296]) ).
cnf(c_0_563,negated_conjecture,
( ~ epred58_0
| ~ epred59_0
| ~ epred60_0
| ~ epred61_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_564,negated_conjecture,
( hskp13
| epred18_0
| epred23_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_374,c_0_405]) ).
cnf(c_0_565,negated_conjecture,
( hskp13
| epred6_0
| epred23_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_376,c_0_406]) ).
cnf(c_0_566,negated_conjecture,
( hskp13
| epred21_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp27
| epred6_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_199]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp28
| epred42_0
| epred60_0
| epred63_0 ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_569,negated_conjecture,
( hskp28
| epred3_0
| epred6_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_414]) ).
cnf(c_0_570,negated_conjecture,
( ~ c3_1(a695)
| ~ hskp28
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_415]),c_0_285]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp7
| c0_1(a708)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_99]),c_0_100]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp13
| epred1_0
| epred6_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_416]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp8
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_62]),c_0_213]),c_0_417]) ).
cnf(c_0_574,negated_conjecture,
( epred4_0
| epred6_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp22
| hskp6
| epred1_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_576,negated_conjecture,
( ~ hskp22
| epred16_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_422]) ).
cnf(c_0_577,negated_conjecture,
( hskp13
| epred21_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_408]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp16
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_47]),c_0_215]),c_0_360]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp14
| c2_1(a730)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_393]),c_0_394]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp19
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_210]),c_0_211]),c_0_225]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp15
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_112]),c_0_425]),c_0_426]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp26
| c2_1(a777)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_112]),c_0_361]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp2
| epred6_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp14
| c2_1(a730)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_359]),c_0_394]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp24
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_430]),c_0_431]),c_0_432]) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp26
| c2_1(a777)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_168]),c_0_361]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp21
| c2_1(a760)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_36]),c_0_38]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp22
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_292]),c_0_294]),c_0_293]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp2
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_297]),c_0_295]),c_0_296]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp7
| c0_1(a708)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_99]),c_0_101]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp17
| epred23_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_433]),c_0_231]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp16
| epred32_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_360]),c_0_215]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp30
| epred32_0
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_229]),c_0_227]) ).
cnf(c_0_594,negated_conjecture,
( hskp7
| hskp13
| epred27_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_74]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred18_0
| ~ epred27_0
| ~ epred63_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_436,c_0_139]),c_0_76]),c_0_17]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred42_0
| ~ epred54_0
| ~ epred64_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_437,c_0_203]),c_0_224]),c_0_16]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred12_0
| ~ epred35_0
| ~ epred63_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_438,c_0_139]),c_0_15]),c_0_115]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred14_0
| ~ epred18_0
| ~ epred57_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_439,c_0_161]),c_0_76]),c_0_116]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred12_0
| ~ epred54_0
| ~ epred55_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_440,c_0_203]),c_0_11]),c_0_115]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred42_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_441,c_0_245]),c_0_16]) ).
cnf(c_0_601,negated_conjecture,
( ~ epred42_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_442,c_0_246]),c_0_16]) ).
cnf(c_0_602,negated_conjecture,
( ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_443,c_0_249]),c_0_169]) ).
cnf(c_0_603,negated_conjecture,
( ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_444,c_0_160]),c_0_12]) ).
cnf(c_0_604,negated_conjecture,
( ~ epred41_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_209]),c_0_16]) ).
cnf(c_0_605,negated_conjecture,
( ~ epred39_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_446,c_0_233]),c_0_104]) ).
cnf(c_0_606,negated_conjecture,
( ~ epred10_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_447,c_0_250]),c_0_114]) ).
cnf(c_0_607,negated_conjecture,
( ~ epred36_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_251]),c_0_146]) ).
cnf(c_0_608,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_77]),c_0_28]) ).
cnf(c_0_609,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_75]),c_0_14]) ).
cnf(c_0_610,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_153]),c_0_17]) ).
cnf(c_0_611,negated_conjecture,
( ~ epred12_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_452,c_0_154]),c_0_115]) ).
cnf(c_0_612,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_155]),c_0_29]) ).
cnf(c_0_613,negated_conjecture,
( ~ epred12_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_454,c_0_156]),c_0_115]) ).
cnf(c_0_614,negated_conjecture,
( ~ epred17_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_117]),c_0_76]) ).
cnf(c_0_615,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_178]),c_0_157]) ).
cnf(c_0_616,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_78]),c_0_116]) ).
cnf(c_0_617,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_268]),c_0_114]) ).
cnf(c_0_618,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_145]),c_0_147]) ).
cnf(c_0_619,negated_conjecture,
( ~ hskp3
| ~ c3_1(a697) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp3
| c2_1(a697) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_621,negated_conjecture,
( hskp26
| hskp7
| hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_622,plain,
$false,
inference(cdclpropres,[status(thm)],[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_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_381,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_262,c_0_552,c_0_384,c_0_260,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_84,c_0_560,c_0_55,c_0_87,c_0_58,c_0_561,c_0_562,c_0_383,c_0_267,c_0_135,c_0_563,c_0_388,c_0_564,c_0_565,c_0_566,c_0_376,c_0_567,c_0_568,c_0_410,c_0_103,c_0_73,c_0_569,c_0_570,c_0_414,c_0_571,c_0_572,c_0_289,c_0_137,c_0_136,c_0_573,c_0_574,c_0_69,c_0_575,c_0_576,c_0_79,c_0_261,c_0_577,c_0_578,c_0_579,c_0_580,c_0_283,c_0_288,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_586,c_0_353,c_0_587,c_0_588,c_0_589,c_0_256,c_0_385,c_0_428,c_0_56,c_0_83,c_0_291,c_0_590,c_0_102,c_0_340,c_0_591,c_0_592,c_0_593,c_0_594,c_0_435,c_0_595,c_0_596,c_0_597,c_0_397,c_0_403,c_0_191,c_0_598,c_0_189,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_401,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_272,c_0_618,c_0_183,c_0_427,c_0_92,c_0_66,c_0_38,c_0_61,c_0_59,c_0_225,c_0_34,c_0_30,c_0_392,c_0_231,c_0_216,c_0_394,c_0_22,c_0_20,c_0_25,c_0_108,c_0_166,c_0_214,c_0_101,c_0_171,c_0_619,c_0_296,c_0_208,c_0_220,c_0_46,c_0_229,c_0_361,c_0_360,c_0_228,c_0_417,c_0_53,c_0_210,c_0_393,c_0_52,c_0_173,c_0_295,c_0_227,c_0_285,c_0_60,c_0_215,c_0_213,c_0_100,c_0_172,c_0_620,c_0_207,c_0_48,c_0_86,c_0_621,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN472+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n019.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 11:00:49 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.13/3.88 % Version: 3.5.1
% 22.13/3.88 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.13/3.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.13/3.88 % Starting new_bool_3 with 300s (1) cores
% 22.13/3.88 % Starting new_bool_1 with 300s (1) cores
% 22.13/3.88 % Starting sh5l with 300s (1) cores
% 22.13/3.88 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2400420 completed with status 0
% 22.13/3.88 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.13/3.88 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.13/3.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.13/3.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.13/3.88 % No SInE strategy applied
% 22.13/3.88 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.13/3.88 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.13/3.88 % Starting SubtermCWHack with 151s (1) cores
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 22.13/3.88 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 22.13/3.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 22.13/3.88 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2400425 completed with status 0
% 22.13/3.88 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 22.13/3.88 % Preprocessing class: FSLSSLSMSSSNFFN.
% 22.13/3.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 22.13/3.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 22.13/3.88 % No SInE strategy applied
% 22.13/3.88 % Search class: FGHNF-FSMM00-SFFFFFNN
% 22.13/3.88 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 22.13/3.88 % Starting SubtermCWHack with 151s (1) cores
% 22.13/3.88 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 22.13/3.88 % Preprocessing time : 0.003 s
% 22.13/3.88 % SatCheck found unsatisfiable ground set
% 22.13/3.88
% 22.13/3.88 % Proof found!
% 22.13/3.88 % SZS status Theorem
% 22.13/3.88 % SZS output start CNFRefutation
% See solution above
% 22.13/3.88 % Parsed axioms : 1
% 22.13/3.88 % Removed by relevancy pruning/SinE : 0
% 22.13/3.88 % Initial clauses : 196
% 22.13/3.88 % Removed in clause preprocessing : 0
% 22.13/3.88 % Initial clauses in saturation : 196
% 22.13/3.88 % Processed clauses : 7948
% 22.13/3.88 % ...of these trivial : 0
% 22.13/3.88 % ...subsumed : 2948
% 22.13/3.88 % ...remaining for further processing : 5000
% 22.13/3.88 % Other redundant clauses eliminated : 0
% 22.13/3.88 % Clauses deleted for lack of memory : 0
% 22.13/3.88 % Backward-subsumed : 1056
% 22.13/3.88 % Backward-rewritten : 54
% 22.13/3.88 % Generated clauses : 64320
% 22.13/3.88 % ...of the previous two non-redundant : 61161
% 22.13/3.88 % ...aggressively subsumed : 0
% 22.13/3.88 % Contextual simplify-reflections : 648
% 22.13/3.88 % Paramodulations : 64215
% 22.13/3.88 % Factorizations : 0
% 22.13/3.88 % NegExts : 0
% 22.13/3.88 % Equation resolutions : 0
% 22.13/3.88 % Disequality decompositions : 0
% 22.13/3.88 % Total rewrite steps : 93
% 22.13/3.88 % ...of those cached : 92
% 22.13/3.88 % Propositional unsat checks : 1
% 22.13/3.88 % Propositional check models : 0
% 22.13/3.88 % Propositional check unsatisfiable : 1
% 22.13/3.88 % Propositional clauses : 56465
% 22.13/3.88 % Propositional clauses after purity: 55846
% 22.13/3.88 % Propositional unsat core size : 251
% 22.13/3.88 % Propositional preprocessing time : 0.000
% 22.13/3.88 % Propositional encoding time : 0.042
% 22.13/3.88 % Propositional solver time : 0.135
% 22.13/3.88 % Success case prop preproc time : 0.000
% 22.13/3.88 % Success case prop encoding time : 0.042
% 22.13/3.88 % Success case prop solver time : 0.135
% 22.13/3.88 % Current number of processed clauses : 3849
% 22.13/3.88 % Positive orientable unit clauses : 1
% 22.13/3.88 % Positive unorientable unit clauses: 0
% 22.13/3.88 % Negative unit clauses : 0
% 22.13/3.88 % Non-unit-clauses : 3848
% 22.13/3.88 % Current number of unprocessed clauses: 52616
% 22.13/3.88 % ...number of literals in the above : 359104
% 22.13/3.88 % Current number of archived formulas : 0
% 22.13/3.88 % Current number of archived clauses : 1110
% 22.13/3.88 % Clause-clause subsumption calls (NU) : 5748383
% 22.13/3.88 % Rec. Clause-clause subsumption calls : 270436
% 22.13/3.88 % Non-unit clause-clause subsumptions : 4706
% 22.13/3.88 % Unit Clause-clause subsumption calls : 3
% 22.13/3.88 % Rewrite failures with RHS unbound : 0
% 22.13/3.88 % BW rewrite match attempts : 1
% 22.13/3.88 % BW rewrite match successes : 1
% 22.13/3.88 % Condensation attempts : 7948
% 22.13/3.88 % Condensation successes : 0
% 22.13/3.88 % Termbank termtop insertions : 608613
% 22.13/3.88 % Search garbage collected termcells : 2072
% 22.13/3.88
% 22.13/3.88 % -------------------------------------------------
% 22.13/3.88 % User time : 3.131 s
% 22.13/3.88 % System time : 0.105 s
% 22.13/3.88 % Total time : 3.237 s
% 22.13/3.88 % Maximum resident set size: 4444 pages
% 22.13/3.88
% 22.13/3.88 % -------------------------------------------------
% 22.13/3.88 % User time : 15.063 s
% 22.13/3.88 % System time : 0.447 s
% 22.13/3.88 % Total time : 15.510 s
% 22.13/3.88 % Maximum resident set size: 5376 pages
% 22.13/3.88 % E exiting
%------------------------------------------------------------------------------