%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN454+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 03:24:31 PM UTC 2026
% Result : Theorem 20.79s 3.87s
% Output : CNFRefutation 20.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 41
% Syntax : Number of formulae : 471 ( 2 unt; 0 def)
% Number of atoms : 4334 ( 0 equ)
% Maximal formula atoms : 666 ( 9 avg)
% Number of connectives : 5704 (1841 ~;2858 |; 716 &)
% ( 40 <=>; 249 =>; 0 <=; 0 <~>)
% Maximal formula depth : 265 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 72 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 551 ( 0 sgn 372 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c1_1(X83) ) ) )
& ( hskp22
| hskp9
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c2_1(X82)
| ~ c1_1(X82) ) ) )
& ( hskp1
| hskp26
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c2_1(X81)
| ~ c0_1(X81) ) ) )
& ( hskp21
| hskp12
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| c3_1(X80) ) ) )
& ( hskp18
| hskp28
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) ) )
& ( hskp3
| hskp6
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c2_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| ~ c0_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| ~ c0_1(X75)
| c2_1(X75) ) ) )
& ( hskp5
| ! [X74] :
( ndr1_0
=> ( ~ c2_1(X74)
| ~ c1_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) ) )
& ( hskp17
| hskp1
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c3_1(X72)
| c2_1(X72) ) ) )
& ( hskp5
| hskp12
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) ) )
& ( hskp10
| hskp20
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c2_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c2_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c3_1(X68)
| c2_1(X68) ) ) )
& ( hskp4
| hskp6
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp13
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp5
| hskp19
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp14
| hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) ) )
& ( hskp17
| hskp26
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp8
| hskp16
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c0_1(X62)
| c1_1(X62) ) ) )
& ( hskp10
| hskp14
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c0_1(X61)
| c1_1(X61) ) ) )
& ( hskp16
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c3_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c0_1(X59)
| c1_1(X59) ) ) )
& ( hskp10
| ! [X58] :
( ndr1_0
=> ( ~ c1_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c1_1(X57) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c1_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c1_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| ~ c0_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| ~ c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp15
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp14
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| ~ c1_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| c2_1(X45)
| c1_1(X45) ) ) )
& ( hskp1
| ! [X44] :
( ndr1_0
=> ( c3_1(X44)
| c2_1(X44)
| c1_1(X44) ) ) )
& ( hskp3
| hskp13
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp3
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| ~ c2_1(X42)
| ~ c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( c3_1(X41)
| c2_1(X41)
| c1_1(X41) ) ) )
& ( hskp12
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| c3_1(X40)
| c1_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| hskp26
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| c0_1(X38) ) ) )
& ( hskp1
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c2_1(X37)
| ~ c0_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) ) )
& ( hskp10
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c2_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c2_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c3_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c1_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c3_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c0_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c3_1(X22)
| c0_1(X22) ) ) )
& ( hskp9
| ! [X21] :
( ndr1_0
=> ( ~ c0_1(X21)
| c3_1(X21)
| c2_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c3_1(X20)
| c0_1(X20) ) ) )
& ( hskp8
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) ) )
& ( hskp7
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c1_1(X13)
| c2_1(X13)
| c0_1(X13) ) ) )
& ( hskp6
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c2_1(X12)
| c0_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| c2_1(X11)
| c0_1(X11) ) ) )
& ( hskp5
| hskp4
| ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp3
| hskp2
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp1
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp0
| ! [X6] :
( ndr1_0
=> ( ~ c1_1(X6)
| ~ c0_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp27
| hskp26
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c1_1(X83) ) ) )
& ( hskp22
| hskp9
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c2_1(X82)
| ~ c1_1(X82) ) ) )
& ( hskp1
| hskp26
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c2_1(X81)
| ~ c0_1(X81) ) ) )
& ( hskp21
| hskp12
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| c3_1(X80) ) ) )
& ( hskp18
| hskp28
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) ) )
& ( hskp3
| hskp6
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c2_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| ~ c0_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| ~ c0_1(X75)
| c2_1(X75) ) ) )
& ( hskp5
| ! [X74] :
( ndr1_0
=> ( ~ c2_1(X74)
| ~ c1_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) ) )
& ( hskp17
| hskp1
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c3_1(X72)
| c2_1(X72) ) ) )
& ( hskp5
| hskp12
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) ) )
& ( hskp10
| hskp20
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c2_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c2_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c3_1(X68)
| c2_1(X68) ) ) )
& ( hskp4
| hskp6
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp13
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp5
| hskp19
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp14
| hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) ) )
& ( hskp17
| hskp26
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp8
| hskp16
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c0_1(X62)
| c1_1(X62) ) ) )
& ( hskp10
| hskp14
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c0_1(X61)
| c1_1(X61) ) ) )
& ( hskp16
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c3_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c0_1(X59)
| c1_1(X59) ) ) )
& ( hskp10
| ! [X58] :
( ndr1_0
=> ( ~ c1_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c1_1(X57) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c1_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c1_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| ~ c0_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| ~ c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp15
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp14
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| ~ c1_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| c2_1(X45)
| c1_1(X45) ) ) )
& ( hskp1
| ! [X44] :
( ndr1_0
=> ( c3_1(X44)
| c2_1(X44)
| c1_1(X44) ) ) )
& ( hskp3
| hskp13
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp3
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| ~ c2_1(X42)
| ~ c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( c3_1(X41)
| c2_1(X41)
| c1_1(X41) ) ) )
& ( hskp12
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| c3_1(X40)
| c1_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| hskp26
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| c0_1(X38) ) ) )
& ( hskp1
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c2_1(X37)
| ~ c0_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) ) )
& ( hskp10
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c2_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c2_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c3_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c1_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c3_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c0_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c3_1(X22)
| c0_1(X22) ) ) )
& ( hskp9
| ! [X21] :
( ndr1_0
=> ( ~ c0_1(X21)
| c3_1(X21)
| c2_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c3_1(X20)
| c0_1(X20) ) ) )
& ( hskp8
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) ) )
& ( hskp7
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c1_1(X13)
| c2_1(X13)
| c0_1(X13) ) ) )
& ( hskp6
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c2_1(X12)
| c0_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| c2_1(X11)
| c0_1(X11) ) ) )
& ( hskp5
| hskp4
| ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp3
| hskp2
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp1
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp0
| ! [X6] :
( ndr1_0
=> ( ~ c1_1(X6)
| ~ c0_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp27
| hskp26
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c1_1(X83) ) ) )
& ( hskp22
| hskp9
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c2_1(X82)
| ~ c1_1(X82) ) ) )
& ( hskp1
| hskp26
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c2_1(X81)
| ~ c0_1(X81) ) ) )
& ( hskp21
| hskp12
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| ~ c1_1(X80)
| c3_1(X80) ) ) )
& ( hskp18
| hskp28
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c1_1(X79)
| c3_1(X79) ) ) )
& ( hskp3
| hskp6
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c0_1(X78)
| c2_1(X78) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| ~ c0_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| ~ c1_1(X76)
| c2_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| ~ c0_1(X75)
| c2_1(X75) ) ) )
& ( hskp5
| ! [X74] :
( ndr1_0
=> ( ~ c2_1(X74)
| ~ c1_1(X74)
| c3_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( ~ c1_1(X73)
| c3_1(X73)
| c2_1(X73) ) ) )
& ( hskp17
| hskp1
| ! [X72] :
( ndr1_0
=> ( ~ c0_1(X72)
| c3_1(X72)
| c2_1(X72) ) ) )
& ( hskp5
| hskp12
| ! [X71] :
( ndr1_0
=> ( ~ c0_1(X71)
| c3_1(X71)
| c2_1(X71) ) ) )
& ( hskp10
| hskp20
| ! [X70] :
( ndr1_0
=> ( ~ c0_1(X70)
| c3_1(X70)
| c2_1(X70) ) ) )
& ( hskp8
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c2_1(X69)
| ~ c0_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| c3_1(X68)
| c2_1(X68) ) ) )
& ( hskp4
| hskp6
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) ) )
& ( hskp13
| ! [X66] :
( ndr1_0
=> ( ~ c3_1(X66)
| ~ c2_1(X66)
| c1_1(X66) ) ) )
& ( hskp5
| hskp19
| ! [X65] :
( ndr1_0
=> ( ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ) ) )
& ( hskp14
| hskp18
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ~ c2_1(X64)
| c1_1(X64) ) ) )
& ( hskp17
| hskp26
| ! [X63] :
( ndr1_0
=> ( ~ c3_1(X63)
| ~ c2_1(X63)
| c1_1(X63) ) ) )
& ( hskp8
| hskp16
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c0_1(X62)
| c1_1(X62) ) ) )
& ( hskp10
| hskp14
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| ~ c0_1(X61)
| c1_1(X61) ) ) )
& ( hskp16
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c0_1(X60)
| c3_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| ~ c0_1(X59)
| c1_1(X59) ) ) )
& ( hskp10
| ! [X58] :
( ndr1_0
=> ( ~ c1_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c3_1(X57)
| c1_1(X57) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c2_1(X56)
| ~ c0_1(X56)
| c1_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c1_1(X55) ) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c1_1(X54)
| ~ c0_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| ~ c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp15
| ! [X51] :
( ndr1_0
=> ( ~ c3_1(X51)
| ~ c0_1(X51)
| c2_1(X51) ) )
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp14
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( ! [X47] :
( ndr1_0
=> ( ~ c3_1(X47)
| ~ c1_1(X47)
| c2_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c0_1(X45)
| c2_1(X45)
| c1_1(X45) ) ) )
& ( hskp1
| ! [X44] :
( ndr1_0
=> ( c3_1(X44)
| c2_1(X44)
| c1_1(X44) ) ) )
& ( hskp3
| hskp13
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c2_1(X43)
| c1_1(X43) ) ) )
& ( hskp3
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| ~ c2_1(X42)
| ~ c0_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( c3_1(X41)
| c2_1(X41)
| c1_1(X41) ) ) )
& ( hskp12
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| c3_1(X40)
| c1_1(X40) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( hskp11
| hskp26
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| ~ c1_1(X38)
| c0_1(X38) ) ) )
& ( hskp1
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c2_1(X37)
| ~ c0_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c1_1(X35)
| ~ c0_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| ~ c0_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| ~ c1_1(X33)
| c0_1(X33) ) ) )
& ( hskp10
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c2_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c2_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| c2_1(X29)
| c1_1(X29) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c2_1(X28)
| c3_1(X28)
| c0_1(X28) ) ) )
& ( ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| ~ c1_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( ~ c2_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c3_1(X25)
| c0_1(X25) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| ~ c0_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| c3_1(X22)
| c0_1(X22) ) ) )
& ( hskp9
| ! [X21] :
( ndr1_0
=> ( ~ c0_1(X21)
| c3_1(X21)
| c2_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c1_1(X20)
| c3_1(X20)
| c0_1(X20) ) ) )
& ( hskp8
| ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| ~ c1_1(X19)
| ~ c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c2_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( ~ c3_1(X15)
| c2_1(X15)
| c0_1(X15) ) ) )
& ( hskp7
| ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c1_1(X13)
| c2_1(X13)
| c0_1(X13) ) ) )
& ( hskp6
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| c2_1(X12)
| c0_1(X12) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| c2_1(X11)
| c0_1(X11) ) ) )
& ( hskp5
| hskp4
| ! [X10] :
( ndr1_0
=> ( ~ c3_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp3
| hskp2
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c1_1(X9)
| c0_1(X9) ) ) )
& ( hskp1
| ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( hskp0
| ! [X6] :
( ndr1_0
=> ( ~ c1_1(X6)
| ~ c0_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp27
| hskp26
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c3_1(a165)
& c2_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a142)
& c1_1(a142)
& c0_1(a142)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a95)
& c2_1(a95)
& c0_1(a95)
& ndr1_0 )
| ~ hskp27 )
& ( ( c2_1(a94)
& c1_1(a94)
& c0_1(a94)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a159)
& ~ c1_1(a159)
& c0_1(a159)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a153)
& ~ c0_1(a153)
& c1_1(a153)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a152)
& c1_1(a152)
& c0_1(a152)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c1_1(a149)
& ~ c0_1(a149)
& c3_1(a149)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c2_1(a145)
& ~ c0_1(a145)
& c3_1(a145)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c2_1(a133)
& c3_1(a133)
& c0_1(a133)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a127)
& c2_1(a127)
& c0_1(a127)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a125)
& c1_1(a125)
& c0_1(a125)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a124)
& ~ c1_1(a124)
& ~ c0_1(a124)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c3_1(a118)
& ~ c2_1(a118)
& c1_1(a118)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c0_1(a116)
& c3_1(a116)
& c1_1(a116)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a115)
& ~ c2_1(a115)
& c0_1(a115)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a112)
& c3_1(a112)
& c0_1(a112)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c0_1(a110)
& c3_1(a110)
& c2_1(a110)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a109)
& ~ c0_1(a109)
& c2_1(a109)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c2_1(a106)
& c3_1(a106)
& c1_1(a106)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a105)
& c2_1(a105)
& c0_1(a105)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a104)
& ~ c2_1(a104)
& ~ c0_1(a104)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c3_1(a103)
& ~ c1_1(a103)
& c0_1(a103)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a102)
& c2_1(a102)
& c1_1(a102)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c2_1(a101)
& ~ c1_1(a101)
& c3_1(a101)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a100)
& ~ c0_1(a100)
& c2_1(a100)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a99)
& ~ c1_1(a99)
& c2_1(a99)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a98)
& ~ c0_1(a98)
& c1_1(a98)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a97)
& c3_1(a97)
& c2_1(a97)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a96)
& ~ c2_1(a96)
& ~ c1_1(a96)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166] :
( ( hskp17
| hskp22
| hskp15 )
& ( hskp17
| hskp22
| hskp6 )
& ( hskp11
| hskp24
| hskp29 )
& ( hskp3
| hskp1
| hskp14 )
& ( hskp11
| hskp12
| hskp14 )
& ( hskp21
| hskp16
| hskp14 )
& ( hskp8
| hskp3
| hskp20 )
& ( hskp0
| hskp29
| hskp20 )
& ( hskp2
| hskp14
| hskp9 )
& ( hskp17
| hskp25
| hskp18 )
& ( hskp13
| hskp19
| hskp18 )
& ( hskp16
| hskp24
| hskp23 )
& ( hskp8
| hskp12
| ~ c3_1(X166)
| ~ c2_1(X166)
| ~ c1_1(X166)
| ~ ndr1_0 )
& ( hskp22
| hskp9
| ~ c3_1(X165)
| ~ c2_1(X165)
| ~ c1_1(X165)
| ~ ndr1_0 )
& ( hskp1
| hskp26
| ~ c3_1(X164)
| ~ c2_1(X164)
| ~ c0_1(X164)
| ~ ndr1_0 )
& ( hskp21
| hskp12
| ~ c2_1(X163)
| ~ c1_1(X163)
| c3_1(X163)
| ~ ndr1_0 )
& ( hskp18
| hskp28
| ~ c2_1(X162)
| ~ c1_1(X162)
| c3_1(X162)
| ~ ndr1_0 )
& ( hskp3
| hskp6
| ~ c1_1(X161)
| ~ c0_1(X161)
| c2_1(X161)
| ~ ndr1_0 )
& ( ~ c3_1(X160)
| ~ c1_1(X160)
| ~ c0_1(X160)
| ~ ndr1_0
| ~ c3_1(X159)
| ~ c1_1(X159)
| c2_1(X159)
| ~ ndr1_0
| ~ c1_1(X158)
| ~ c0_1(X158)
| c2_1(X158)
| ~ ndr1_0 )
& ( hskp5
| ~ c2_1(X157)
| ~ c1_1(X157)
| c3_1(X157)
| ~ ndr1_0
| ~ c1_1(X156)
| c3_1(X156)
| c2_1(X156)
| ~ ndr1_0 )
& ( hskp17
| hskp1
| ~ c0_1(X155)
| c3_1(X155)
| c2_1(X155)
| ~ ndr1_0 )
& ( hskp5
| hskp12
| ~ c0_1(X154)
| c3_1(X154)
| c2_1(X154)
| ~ ndr1_0 )
& ( hskp10
| hskp20
| ~ c0_1(X153)
| c3_1(X153)
| c2_1(X153)
| ~ ndr1_0 )
& ( hskp8
| ~ c3_1(X152)
| ~ c2_1(X152)
| ~ c0_1(X152)
| ~ ndr1_0
| ~ c0_1(X151)
| c3_1(X151)
| c2_1(X151)
| ~ ndr1_0 )
& ( hskp4
| hskp6
| ~ c3_1(X150)
| ~ c2_1(X150)
| c1_1(X150)
| ~ ndr1_0 )
& ( hskp13
| ~ c3_1(X149)
| ~ c2_1(X149)
| c1_1(X149)
| ~ ndr1_0 )
& ( hskp5
| hskp19
| ~ c3_1(X148)
| ~ c2_1(X148)
| c1_1(X148)
| ~ ndr1_0 )
& ( hskp14
| hskp18
| ~ c3_1(X147)
| ~ c2_1(X147)
| c1_1(X147)
| ~ ndr1_0 )
& ( hskp17
| hskp26
| ~ c3_1(X146)
| ~ c2_1(X146)
| c1_1(X146)
| ~ ndr1_0 )
& ( hskp8
| hskp16
| ~ c3_1(X145)
| ~ c0_1(X145)
| c1_1(X145)
| ~ ndr1_0 )
& ( hskp10
| hskp14
| ~ c3_1(X144)
| ~ c0_1(X144)
| c1_1(X144)
| ~ ndr1_0 )
& ( hskp16
| ~ c1_1(X143)
| ~ c0_1(X143)
| c3_1(X143)
| ~ ndr1_0
| ~ c3_1(X142)
| ~ c0_1(X142)
| c1_1(X142)
| ~ ndr1_0 )
& ( hskp10
| ~ c1_1(X141)
| ~ c0_1(X141)
| c3_1(X141)
| ~ ndr1_0
| ~ c2_1(X140)
| c3_1(X140)
| c1_1(X140)
| ~ ndr1_0 )
& ( ~ c2_1(X139)
| ~ c0_1(X139)
| c1_1(X139)
| ~ ndr1_0
| ~ c0_1(X138)
| c3_1(X138)
| c1_1(X138)
| ~ ndr1_0 )
& ( ~ c3_1(X137)
| ~ c1_1(X137)
| ~ c0_1(X137)
| ~ ndr1_0
| ~ c1_1(X136)
| ~ c0_1(X136)
| c2_1(X136)
| ~ ndr1_0
| ~ c3_1(X135)
| c2_1(X135)
| c1_1(X135)
| ~ ndr1_0 )
& ( hskp15
| ~ c3_1(X134)
| ~ c0_1(X134)
| c2_1(X134)
| ~ ndr1_0
| ~ c0_1(X133)
| c2_1(X133)
| c1_1(X133)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X132)
| c2_1(X132)
| c1_1(X132)
| ~ ndr1_0
| ~ c0_1(X131)
| c2_1(X131)
| c1_1(X131)
| ~ ndr1_0 )
& ( ~ c3_1(X130)
| ~ c1_1(X130)
| c2_1(X130)
| ~ ndr1_0
| ~ c3_1(X129)
| c2_1(X129)
| c1_1(X129)
| ~ ndr1_0
| ~ c0_1(X128)
| c2_1(X128)
| c1_1(X128)
| ~ ndr1_0 )
& ( hskp1
| c3_1(X127)
| c2_1(X127)
| c1_1(X127)
| ~ ndr1_0 )
& ( hskp3
| hskp13
| c3_1(X126)
| c2_1(X126)
| c1_1(X126)
| ~ ndr1_0 )
& ( hskp3
| ~ c3_1(X125)
| ~ c2_1(X125)
| ~ c0_1(X125)
| ~ ndr1_0
| c3_1(X124)
| c2_1(X124)
| c1_1(X124)
| ~ ndr1_0 )
& ( hskp12
| ~ c0_1(X123)
| c3_1(X123)
| c1_1(X123)
| ~ ndr1_0
| ~ c3_1(X122)
| ~ c1_1(X122)
| c0_1(X122)
| ~ ndr1_0 )
& ( hskp11
| hskp26
| ~ c2_1(X121)
| ~ c1_1(X121)
| c0_1(X121)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X120)
| ~ c2_1(X120)
| ~ c0_1(X120)
| ~ ndr1_0
| ~ c2_1(X119)
| ~ c1_1(X119)
| c0_1(X119)
| ~ ndr1_0 )
& ( ~ c2_1(X118)
| ~ c1_1(X118)
| ~ c0_1(X118)
| ~ ndr1_0
| ~ c3_1(X117)
| ~ c0_1(X117)
| c2_1(X117)
| ~ ndr1_0
| ~ c2_1(X116)
| ~ c1_1(X116)
| c0_1(X116)
| ~ ndr1_0 )
& ( hskp10
| ~ c2_1(X115)
| c3_1(X115)
| c1_1(X115)
| ~ ndr1_0
| ~ c2_1(X114)
| c3_1(X114)
| c0_1(X114)
| ~ ndr1_0 )
& ( ~ c1_1(X113)
| c3_1(X113)
| c2_1(X113)
| ~ ndr1_0
| c3_1(X112)
| c2_1(X112)
| c1_1(X112)
| ~ ndr1_0
| ~ c2_1(X111)
| c3_1(X111)
| c0_1(X111)
| ~ ndr1_0 )
& ( ~ c3_1(X110)
| ~ c1_1(X110)
| c0_1(X110)
| ~ ndr1_0
| ~ c2_1(X109)
| ~ c1_1(X109)
| c0_1(X109)
| ~ ndr1_0
| ~ c2_1(X108)
| c3_1(X108)
| c0_1(X108)
| ~ ndr1_0 )
& ( ~ c3_1(X107)
| ~ c1_1(X107)
| c2_1(X107)
| ~ ndr1_0
| ~ c3_1(X106)
| ~ c0_1(X106)
| c2_1(X106)
| ~ ndr1_0
| ~ c1_1(X105)
| c3_1(X105)
| c0_1(X105)
| ~ ndr1_0 )
& ( hskp9
| ~ c0_1(X104)
| c3_1(X104)
| c2_1(X104)
| ~ ndr1_0
| ~ c1_1(X103)
| c3_1(X103)
| c0_1(X103)
| ~ ndr1_0 )
& ( hskp8
| ~ c3_1(X102)
| ~ c1_1(X102)
| ~ c0_1(X102)
| ~ ndr1_0
| ~ c3_1(X101)
| c2_1(X101)
| c0_1(X101)
| ~ ndr1_0 )
& ( ~ c0_1(X100)
| c3_1(X100)
| c1_1(X100)
| ~ ndr1_0
| ~ c3_1(X99)
| ~ c2_1(X99)
| c0_1(X99)
| ~ ndr1_0
| ~ c3_1(X98)
| c2_1(X98)
| c0_1(X98)
| ~ ndr1_0 )
& ( hskp7
| ~ c3_1(X97)
| ~ c2_1(X97)
| c0_1(X97)
| ~ ndr1_0
| ~ c1_1(X96)
| c2_1(X96)
| c0_1(X96)
| ~ ndr1_0 )
& ( hskp6
| ~ c1_1(X95)
| c2_1(X95)
| c0_1(X95)
| ~ ndr1_0
| c3_1(X94)
| c2_1(X94)
| c0_1(X94)
| ~ ndr1_0 )
& ( hskp5
| hskp4
| ~ c3_1(X93)
| c1_1(X93)
| c0_1(X93)
| ~ ndr1_0 )
& ( hskp3
| hskp2
| ~ c3_1(X92)
| c1_1(X92)
| c0_1(X92)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X91)
| ~ c2_1(X91)
| ~ c0_1(X91)
| ~ ndr1_0
| ~ c2_1(X90)
| c1_1(X90)
| c0_1(X90)
| ~ ndr1_0 )
& ( hskp0
| ~ c1_1(X89)
| ~ c0_1(X89)
| c2_1(X89)
| ~ ndr1_0
| c3_1(X88)
| c1_1(X88)
| c0_1(X88)
| ~ ndr1_0 )
& ( hskp27
| hskp26
| c2_1(X87)
| c1_1(X87)
| c0_1(X87)
| ~ ndr1_0 )
& ( ~ c2_1(X86)
| c3_1(X86)
| c1_1(X86)
| ~ ndr1_0
| ~ c3_1(X85)
| ~ c1_1(X85)
| c0_1(X85)
| ~ ndr1_0
| c2_1(X84)
| c1_1(X84)
| c0_1(X84)
| ~ ndr1_0 )
& ( ~ hskp29
| c3_1(a165) )
& ( ~ hskp29
| c2_1(a165) )
& ( ~ hskp29
| c1_1(a165) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c3_1(a142) )
& ( ~ hskp28
| c1_1(a142) )
& ( ~ hskp28
| c0_1(a142) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| c3_1(a95) )
& ( ~ hskp27
| c2_1(a95) )
& ( ~ hskp27
| c0_1(a95) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| c2_1(a94) )
& ( ~ hskp26
| c1_1(a94) )
& ( ~ hskp26
| c0_1(a94) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c2_1(a159) )
& ( ~ hskp25
| ~ c1_1(a159) )
& ( ~ hskp25
| c0_1(a159) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c2_1(a153) )
& ( ~ hskp24
| ~ c0_1(a153) )
& ( ~ hskp24
| c1_1(a153) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c2_1(a152) )
& ( ~ hskp23
| c1_1(a152) )
& ( ~ hskp23
| c0_1(a152) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c1_1(a149) )
& ( ~ hskp22
| ~ c0_1(a149) )
& ( ~ hskp22
| c3_1(a149) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c2_1(a145) )
& ( ~ hskp21
| ~ c0_1(a145) )
& ( ~ hskp21
| c3_1(a145) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c2_1(a133) )
& ( ~ hskp20
| c3_1(a133) )
& ( ~ hskp20
| c0_1(a133) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c3_1(a127) )
& ( ~ hskp19
| c2_1(a127) )
& ( ~ hskp19
| c0_1(a127) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c3_1(a125) )
& ( ~ hskp18
| c1_1(a125) )
& ( ~ hskp18
| c0_1(a125) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c3_1(a124) )
& ( ~ hskp17
| ~ c1_1(a124) )
& ( ~ hskp17
| ~ c0_1(a124) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c3_1(a118) )
& ( ~ hskp16
| ~ c2_1(a118) )
& ( ~ hskp16
| c1_1(a118) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c0_1(a116) )
& ( ~ hskp15
| c3_1(a116) )
& ( ~ hskp15
| c1_1(a116) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c3_1(a115) )
& ( ~ hskp14
| ~ c2_1(a115) )
& ( ~ hskp14
| c0_1(a115) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c1_1(a112) )
& ( ~ hskp13
| c3_1(a112) )
& ( ~ hskp13
| c0_1(a112) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c0_1(a110) )
& ( ~ hskp12
| c3_1(a110) )
& ( ~ hskp12
| c2_1(a110) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c3_1(a109) )
& ( ~ hskp11
| ~ c0_1(a109) )
& ( ~ hskp11
| c2_1(a109) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c2_1(a106) )
& ( ~ hskp10
| c3_1(a106) )
& ( ~ hskp10
| c1_1(a106) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c1_1(a105) )
& ( ~ hskp9
| c2_1(a105) )
& ( ~ hskp9
| c0_1(a105) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c3_1(a104) )
& ( ~ hskp8
| ~ c2_1(a104) )
& ( ~ hskp8
| ~ c0_1(a104) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c3_1(a103) )
& ( ~ hskp7
| ~ c1_1(a103) )
& ( ~ hskp7
| c0_1(a103) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c3_1(a102) )
& ( ~ hskp6
| c2_1(a102) )
& ( ~ hskp6
| c1_1(a102) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c2_1(a101) )
& ( ~ hskp5
| ~ c1_1(a101) )
& ( ~ hskp5
| c3_1(a101) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c1_1(a100) )
& ( ~ hskp4
| ~ c0_1(a100) )
& ( ~ hskp4
| c2_1(a100) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c3_1(a99) )
& ( ~ hskp3
| ~ c1_1(a99) )
& ( ~ hskp3
| c2_1(a99) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c3_1(a98) )
& ( ~ hskp2
| ~ c0_1(a98) )
& ( ~ hskp2
| c1_1(a98) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c1_1(a97) )
& ( ~ hskp1
| c3_1(a97) )
& ( ~ hskp1
| c2_1(a97) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c3_1(a96) )
& ( ~ hskp0
| ~ c2_1(a96) )
& ( ~ hskp0
| ~ c1_1(a96) )
& ( ~ 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,
( ~ hskp0
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( hskp0
| hskp29
| hskp20 ),
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,
( ~ hskp29
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp5
| c3_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,
( ~ epred1_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_12,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp7
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_13,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ hskp23
| c0_1(a152) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( ~ hskp23
| c1_1(a152) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp5
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
( ~ hskp23
| ~ c2_1(a152) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_18,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| hskp16
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_19,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_20,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_11]),c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
( ~ hskp7
| c0_1(a103) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( ~ hskp7
| ~ c1_1(a103) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,negated_conjecture,
( ~ hskp7
| ~ c3_1(a103) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp7
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]),c_0_10])]) ).
cnf(c_0_25,negated_conjecture,
( ~ hskp24
| c1_1(a153) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp24
| ~ c2_1(a153) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp24
| ~ c0_1(a153) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_28,negated_conjecture,
( ~ c3_1(a152)
| ~ hskp23
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_29,negated_conjecture,
( ~ hskp23
| c3_1(a152)
| hskp5
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( ~ hskp16
| c1_1(a118) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ hskp16
| ~ c2_1(a118) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp16
| ~ c3_1(a118) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_33,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| hskp16
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_10])]) ).
cnf(c_0_35,negated_conjecture,
( ~ hskp19
| c0_1(a127) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_36,negated_conjecture,
( ~ hskp19
| ~ c3_1(a127) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_37,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_38,negated_conjecture,
( ~ hskp19
| c2_1(a127) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp7
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_40,negated_conjecture,
( ~ hskp24
| hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_41,negated_conjecture,
( ~ hskp23
| hskp5
| epred15_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_42,negated_conjecture,
( hskp16
| hskp24
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,negated_conjecture,
( ~ hskp16
| hskp5
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( ~ hskp13
| c0_1(a112) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_45,negated_conjecture,
( ~ hskp13
| ~ c1_1(a112) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_46,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_47,negated_conjecture,
( ~ hskp13
| c3_1(a112) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_48,negated_conjecture,
( ~ c1_1(a127)
| ~ hskp19
| hskp16
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_49,negated_conjecture,
( ~ hskp19
| c1_1(a127)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_38]) ).
cnf(c_0_50,negated_conjecture,
( ~ hskp18
| c0_1(a125) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_51,negated_conjecture,
( ~ hskp18
| c1_1(a125) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_52,negated_conjecture,
( ~ hskp18
| ~ c3_1(a125) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_53,plain,
( ~ epred39_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_54,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp0 ) ),
introduced(definition) ).
fof(c_0_55,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_56,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_57,negated_conjecture,
( ~ ndr1_0
| hskp1
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_58,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp14
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_59,plain,
( ~ epred20_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_60,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_61,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_62,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_63,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_64,negated_conjecture,
( ~ hskp5
| ~ c1_1(a101) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_65,negated_conjecture,
( ~ hskp5
| c3_1(a101) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_66,negated_conjecture,
( ~ hskp5
| ~ c2_1(a101) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_67,negated_conjecture,
( ~ hskp24
| epred1_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_68,negated_conjecture,
( hskp5
| hskp24
| epred15_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_69,negated_conjecture,
( ~ c2_1(a112)
| ~ hskp13
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_45]) ).
cnf(c_0_70,negated_conjecture,
( ~ hskp13
| c2_1(a112)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_71,negated_conjecture,
( ~ hskp19
| hskp16
| epred2_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_72,negated_conjecture,
( hskp13
| hskp19
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_73,negated_conjecture,
( ~ hskp18
| hskp16
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_50]),c_0_51]),c_0_52]) ).
fof(c_0_74,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_75,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp13
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_76,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_77,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_53]) ).
cnf(c_0_78,negated_conjecture,
( hskp0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_54]),c_0_10])]) ).
fof(c_0_79,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_80,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_55]) ).
cnf(c_0_81,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_56]) ).
cnf(c_0_82,negated_conjecture,
( ~ hskp0
| ~ c1_1(a96) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_83,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_10])]) ).
cnf(c_0_84,negated_conjecture,
( ~ hskp0
| ~ c2_1(a96) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_85,negated_conjecture,
( ~ hskp0
| ~ c3_1(a96) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_86,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp14
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_58]),c_0_10])]) ).
fof(c_0_87,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_88,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1)
| epred20_0 ),
inference(split_equiv,[status(thm)],[c_0_59]) ).
cnf(c_0_89,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_60]),c_0_10])]) ).
cnf(c_0_90,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_91,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_62]),c_0_10])]) ).
cnf(c_0_92,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| c1_1(X2) ),
inference(cn,[status(thm)],[c_0_63]) ).
cnf(c_0_93,negated_conjecture,
( ~ hskp5
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_46]),c_0_65]),c_0_66]) ).
cnf(c_0_94,negated_conjecture,
( hskp5
| epred1_0
| epred15_0
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_95,negated_conjecture,
( ~ hskp13
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_96,negated_conjecture,
( hskp13
| hskp16
| epred2_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_97,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_74]) ).
cnf(c_0_98,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| hskp13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_10])]) ).
cnf(c_0_99,negated_conjecture,
( ~ hskp1
| c3_1(a97) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_100,negated_conjecture,
( ~ hskp1
| c2_1(a97) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_101,negated_conjecture,
( ~ hskp1
| ~ c1_1(a97) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_102,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_103,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp9
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_76]),c_0_10])]) ).
cnf(c_0_104,negated_conjecture,
( ~ c3_1(a152)
| ~ hskp23
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_15]),c_0_17]) ).
cnf(c_0_105,negated_conjecture,
( ~ hskp23
| c3_1(a152)
| hskp16
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_15]) ).
cnf(c_0_106,negated_conjecture,
( ~ hskp3
| ~ c1_1(a99) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_107,negated_conjecture,
( hskp0
| c1_1(X1)
| c3_1(X1)
| epred1_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_78]) ).
cnf(c_0_108,negated_conjecture,
( ~ hskp3
| ~ c3_1(a99) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_109,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp1 ) ),
introduced(definition) ).
fof(c_0_110,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp1
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_111,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| hskp15
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_112,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_79]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp20
| c0_1(a133) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_114,negated_conjecture,
( ~ hskp20
| ~ c2_1(a133) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_115,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| epred14_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_116,negated_conjecture,
( ~ hskp29
| c2_1(a165) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_117,negated_conjecture,
( ~ hskp29
| c3_1(a165) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp0
| hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp13
| c2_1(a112)
| hskp14
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_44]),c_0_45]) ).
cnf(c_0_120,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp3
| c2_1(a99) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_122,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_123,negated_conjecture,
( ~ c1_1(a127)
| ~ hskp19
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_35]),c_0_36]) ).
cnf(c_0_124,negated_conjecture,
( ~ hskp19
| c1_1(a127)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_35]),c_0_36]) ).
cnf(c_0_125,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| epred4_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_126,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp14
| epred11_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_91]) ).
fof(c_0_127,plain,
( ~ epred45_0
<=> ! [X3] :
( ~ c0_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_129,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_92,c_0_11]),c_0_19]) ).
cnf(c_0_130,negated_conjecture,
( epred1_0
| epred12_0
| epred15_0
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp16
| epred12_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_93,c_0_43]) ).
cnf(c_0_132,negated_conjecture,
( hskp16
| epred2_0
| epred12_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_133,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp13
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_44]),c_0_47]),c_0_45]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp1
| hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]) ).
fof(c_0_136,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_137,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp22
| c3_1(a149) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp22
| ~ c1_1(a149) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp22
| ~ c0_1(a149) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp11
| ~ c0_1(a109) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_143,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_10])]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp11
| c2_1(a109) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp11
| ~ c3_1(a109) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_146,negated_conjecture,
( ~ c3_1(a153)
| ~ hskp24
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_25]),c_0_26]) ).
cnf(c_0_147,negated_conjecture,
( ~ hskp24
| c3_1(a153)
| hskp9
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_25]),c_0_27]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp23
| hskp16
| epred29_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp3
| hskp0
| epred1_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_150,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp1
| c0_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_109]),c_0_10])]) ).
cnf(c_0_151,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| hskp1
| c0_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_10])]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp12
| c2_1(a110) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp12
| ~ c0_1(a110) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_154,plain,
( ~ epred34_0
<=> ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp15
| ~ c0_1(a116) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp15
| c3_1(a116) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp15
| c1_1(a116) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_158,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp15
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_111]),c_0_10])]) ).
fof(c_0_159,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_160,negated_conjecture,
( ~ c1_1(a133)
| ~ hskp20
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp20
| c1_1(a133)
| hskp14
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_113]),c_0_114]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp29
| epred14_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_163,negated_conjecture,
( hskp1
| hskp20
| hskp29 ),
inference(spm,[status(thm)],[c_0_118,c_0_5]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp1
| epred14_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_100]),c_0_99]) ).
fof(c_0_165,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp13
| hskp14
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_119]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp3
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_120]),c_0_121]),c_0_108]) ).
cnf(c_0_168,negated_conjecture,
( hskp3
| hskp1
| hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp9
| c0_1(a105) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp9
| ~ c1_1(a105) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp2
| c1_1(a98) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp2
| ~ c3_1(a98) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp2
| ~ c0_1(a98) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_174,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
fof(c_0_175,plain,
( ~ epred33_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp19
| epred1_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp19
| epred2_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_123,c_0_49]) ).
fof(c_0_178,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_179,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| hskp6
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp23
| epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_15]),c_0_17]) ).
cnf(c_0_181,negated_conjecture,
( ~ hskp24
| epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_25]),c_0_26]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp5
| hskp14
| epred11_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_126]),c_0_66]) ).
cnf(c_0_183,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| epred45_0 ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
fof(c_0_184,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_185,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c2_1(X3)
| c1_1(X1)
| c1_1(X2) ),
inference(cn,[status(thm)],[c_0_128]) ).
cnf(c_0_186,negated_conjecture,
( ~ epred2_0
| epred12_0
| epred15_0
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_187,negated_conjecture,
( epred2_0
| epred12_0
| epred15_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp10
| c1_1(a106) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp10
| ~ c2_1(a106) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| hskp20
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_191,negated_conjecture,
( ~ c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp10
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_133]),c_0_10])]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp1
| epred30_0 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_195,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_136]) ).
cnf(c_0_196,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred36_0 ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp20
| c3_1(a133) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp14
| c0_1(a115) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp14
| ~ c2_1(a115) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp14
| ~ c3_1(a115) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_201,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp17
| hskp1
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_202,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp3
| hskp2
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_203,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp3
| hskp6
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_204,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp10
| hskp14
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_205,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_10])]) ).
cnf(c_0_206,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp14
| hskp18
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_207,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp8
| hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_208,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp22
| hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_209,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_210,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_211,negated_conjecture,
( ~ c2_1(a149)
| ~ hskp22
| hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_139]),c_0_140]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp22
| c2_1(a149)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_91]),c_0_140]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp12
| c3_1(a110) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp11
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_215,negated_conjecture,
( hskp11
| hskp12
| hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp9
| c2_1(a105) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp24
| hskp9
| epred7_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_218,negated_conjecture,
( hskp16
| hskp24
| epred29_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_42]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp3
| hskp1
| epred1_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_149]) ).
cnf(c_0_220,negated_conjecture,
( ~ c1_1(a109)
| ~ hskp11
| hskp1
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_144]),c_0_142]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp11
| c1_1(a109)
| hskp1
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_144]),c_0_142]) ).
cnf(c_0_222,negated_conjecture,
( ~ c1_1(a110)
| ~ hskp12
| hskp1
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_152]),c_0_153]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp12
| c1_1(a110)
| hskp1
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_224,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_225,negated_conjecture,
( ~ c2_1(a116)
| ~ hskp15
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_81]),c_0_156]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp15
| c2_1(a116)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_157]),c_0_156]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp13
| c2_1(a112)
| hskp15
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_44]),c_0_45]) ).
cnf(c_0_228,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_159]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp20
| hskp14
| epred6_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_230,negated_conjecture,
( hskp20
| epred14_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp10
| c3_1(a106) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_232,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp10
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_10])]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp1
| hskp14
| epred2_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_135]) ).
cnf(c_0_234,negated_conjecture,
( hskp1
| hskp14
| epred10_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_235,negated_conjecture,
( ~ c3_1(a105)
| ~ hskp9
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_169]),c_0_170]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp9
| c3_1(a105)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_169]),c_0_170]) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp2
| hskp9
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_171]),c_0_172]),c_0_173]) ).
cnf(c_0_238,negated_conjecture,
( hskp2
| hskp14
| hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp13
| c2_1(a112)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_44]),c_0_47]) ).
cnf(c_0_240,negated_conjecture,
( ~ c2_1(a112)
| ~ hskp13
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_47]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp22
| c2_1(a149)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_46]),c_0_139]) ).
cnf(c_0_242,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_175]) ).
cnf(c_0_243,negated_conjecture,
( hskp13
| hskp18
| epred1_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_176,c_0_72]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp18
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_245,negated_conjecture,
( hskp13
| hskp18
| epred2_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_177,c_0_72]) ).
cnf(c_0_246,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_178]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp6
| c1_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp6
| c2_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp6
| ~ c3_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp8
| ~ c0_1(a104) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_251,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp6
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_10])]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp8
| ~ c2_1(a104) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp8
| ~ c3_1(a104) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_254,negated_conjecture,
( hskp16
| epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_42]),c_0_181]) ).
cnf(c_0_255,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_256,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X2)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_257,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_258,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_259,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X3)
| c2_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_260,negated_conjecture,
( ~ c2_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c3_1(X3)
| c1_1(X3)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_261,negated_conjecture,
( ~ c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_262,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp1
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_263,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_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_264,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp1
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_265,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp15
| c2_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_266,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_267,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp7
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_268,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp5
| c3_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_269,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_270,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| hskp14
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_271,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp10
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_272,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| hskp9
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_273,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp0
| c2_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_274,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp6
| 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_275,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp14
| epred11_0
| epred15_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_126]),c_0_182]) ).
cnf(c_0_276,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred32_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_143]) ).
cnf(c_0_277,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred1_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_143]) ).
cnf(c_0_278,negated_conjecture,
( ~ epred12_0
| ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_185,c_0_184]),c_0_33]),c_0_53]) ).
cnf(c_0_279,negated_conjecture,
( epred12_0
| epred15_0
| epred17_0
| epred28_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp3
| hskp1
| c0_1(a99)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_121]),c_0_106]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp20
| c1_1(a133)
| hskp15
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_113]),c_0_114]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp10
| c0_1(a106)
| hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_188]),c_0_189]) ).
cnf(c_0_283,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp10
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_10])]) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp16
| c0_1(a118)
| hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_30]),c_0_31]) ).
cnf(c_0_285,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred14_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_83]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp3
| c0_1(a99)
| hskp10
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_121]),c_0_108]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp16
| c0_1(a118)
| hskp9
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_30]),c_0_32]) ).
cnf(c_0_288,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred30_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_83]) ).
cnf(c_0_289,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c1_1(X1)
| c3_1(X1)
| epred2_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_78]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp17
| c2_1(a124)
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_83]),c_0_194]) ).
cnf(c_0_291,negated_conjecture,
( ~ c1_1(a109)
| ~ hskp11
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_195]),c_0_144]) ).
cnf(c_0_292,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_196]) ).
cnf(c_0_293,negated_conjecture,
( ~ hskp29
| c1_1(a165) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_294,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred6_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_196]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp20
| c1_1(a133)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_113]),c_0_197]) ).
cnf(c_0_296,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred18_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_13,c_0_81]) ).
cnf(c_0_297,negated_conjecture,
( ~ c1_1(a133)
| ~ hskp20
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_113]),c_0_197]) ).
cnf(c_0_298,negated_conjecture,
( ~ c1_1(a115)
| ~ hskp14
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_198]),c_0_199]) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp14
| c1_1(a115)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_198]),c_0_200]) ).
cnf(c_0_300,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1
| hskp17 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_10])]) ).
cnf(c_0_301,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| hskp2
| c0_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_10])]) ).
cnf(c_0_302,negated_conjecture,
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1)
| hskp3
| hskp6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_10])]) ).
cnf(c_0_303,negated_conjecture,
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| hskp10
| hskp14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_10])]) ).
cnf(c_0_304,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| hskp16
| epred29_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_205]) ).
cnf(c_0_305,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| hskp14
| hskp18 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_10])]) ).
cnf(c_0_306,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp8
| hskp12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_10])]) ).
cnf(c_0_307,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp9
| hskp22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_10])]) ).
cnf(c_0_308,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_209]),c_0_10])]) ).
cnf(c_0_309,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_10])]) ).
cnf(c_0_310,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_184]),c_0_10])]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp22
| hskp13
| epred35_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp12
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_81]),c_0_152]),c_0_213]) ).
cnf(c_0_313,negated_conjecture,
( hskp12
| hskp14
| epred32_0 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp9
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_169]),c_0_216]),c_0_170]) ).
cnf(c_0_315,negated_conjecture,
( hskp9
| hskp16
| epred7_0
| epred29_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_316,negated_conjecture,
( hskp1
| hskp14
| epred1_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_168]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp11
| hskp1
| epred25_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp12
| hskp1
| epred25_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp19
| hskp16
| epred1_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_48,c_0_124]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp16
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp15
| epred18_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp13
| hskp15
| epred2_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_227]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp15
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_196]),c_0_157]),c_0_156]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp14
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_198]),c_0_199]),c_0_200]) ).
cnf(c_0_325,negated_conjecture,
( hskp14
| epred6_0
| epred11_0
| epred14_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp10
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_188]),c_0_231]),c_0_189]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp3
| hskp10
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_121]),c_0_106]),c_0_108]) ).
cnf(c_0_328,negated_conjecture,
( ~ c2_1(a116)
| ~ hskp15
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_195]),c_0_157]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp15
| c2_1(a116)
| hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_157]),c_0_155]) ).
cnf(c_0_330,negated_conjecture,
( hskp11
| hskp24
| hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_331,negated_conjecture,
( hskp14
| epred2_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp9
| epred1_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_333,negated_conjecture,
( hskp9
| hskp14
| epred7_0 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_334,negated_conjecture,
( ~ c2_1(a103)
| ~ hskp7
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_21]),c_0_22]) ).
cnf(c_0_335,negated_conjecture,
( ~ hskp7
| c2_1(a103)
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_83]),c_0_23]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp13
| epred2_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_239]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp13
| epred12_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_240,c_0_70]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp22
| hskp13
| epred12_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_241]) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp0
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_242]),c_0_84]),c_0_85]) ).
cnf(c_0_340,negated_conjecture,
( epred1_0
| epred20_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_243]),c_0_244]) ).
cnf(c_0_341,negated_conjecture,
( epred2_0
| epred20_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_245]),c_0_244]) ).
cnf(c_0_342,negated_conjecture,
( ~ c1_1(a115)
| ~ hskp14
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_198]),c_0_200]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp6
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_249]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp8
| hskp6
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]),c_0_253]) ).
cnf(c_0_345,negated_conjecture,
( ~ c3_1(a105)
| ~ hskp9
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_169]),c_0_216]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp7
| c2_1(a103)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_21]),c_0_23]) ).
cnf(c_0_347,negated_conjecture,
( c2_1(a118)
| epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_30]),c_0_254]) ).
fof(c_0_348,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ ndr1_0
| hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_349,negated_conjecture,
( ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c1_1(X1)
| ~ c1_1(X3)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_255]) ).
cnf(c_0_350,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2) ),
inference(cn,[status(thm)],[c_0_256]) ).
cnf(c_0_351,negated_conjecture,
( ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c1_1(X1) ),
inference(cn,[status(thm)],[c_0_257]) ).
cnf(c_0_352,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X1) ),
inference(cn,[status(thm)],[c_0_258]) ).
cnf(c_0_353,negated_conjecture,
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c1_1(X1)
| ~ c1_1(X3)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X3) ),
inference(cn,[status(thm)],[c_0_259]) ).
cnf(c_0_354,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c1_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| c3_1(X3)
| c2_1(X1)
| c1_1(X1)
| c1_1(X3) ),
inference(cn,[status(thm)],[c_0_260]) ).
cnf(c_0_355,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X3)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c3_1(X2)
| c3_1(X3)
| c2_1(X2)
| c2_1(X3)
| c1_1(X2) ),
inference(cn,[status(thm)],[c_0_261]) ).
cnf(c_0_356,negated_conjecture,
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_357,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X1)
| hskp16 ),
inference(cn,[status(thm)],[c_0_263]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_264]) ).
cnf(c_0_359,negated_conjecture,
( ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c1_1(X1)
| hskp15 ),
inference(cn,[status(thm)],[c_0_265]) ).
cnf(c_0_360,negated_conjecture,
( ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c1_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[c_0_266]) ).
cnf(c_0_361,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp7 ),
inference(cn,[status(thm)],[c_0_267]) ).
cnf(c_0_362,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| hskp5 ),
inference(cn,[status(thm)],[c_0_268]) ).
cnf(c_0_363,negated_conjecture,
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[c_0_269]) ).
cnf(c_0_364,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X1)
| c2_1(X2)
| c1_1(X1)
| c1_1(X2)
| hskp14 ),
inference(cn,[status(thm)],[c_0_270]) ).
cnf(c_0_365,negated_conjecture,
( ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| hskp10 ),
inference(cn,[status(thm)],[c_0_271]) ).
cnf(c_0_366,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c3_1(X2)
| c2_1(X2)
| hskp9 ),
inference(cn,[status(thm)],[c_0_272]) ).
cnf(c_0_367,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_368,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X2)
| hskp6 ),
inference(cn,[status(thm)],[c_0_274]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp8
| c3_1(a104)
| hskp14
| epred11_0
| epred15_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_252,c_0_275]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp6
| ~ c2_1(a102)
| c3_1(a102)
| epred32_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_276,c_0_247]) ).
cnf(c_0_371,negated_conjecture,
( ~ c2_1(a99)
| ~ hskp3
| c3_1(a99)
| epred1_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_106,c_0_277]) ).
cnf(c_0_372,negated_conjecture,
( ~ epred38_0
| ~ epred39_0
| epred15_0
| epred17_0
| epred28_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp3
| ~ c2_1(a99)
| hskp1
| epred25_0
| c1_1(a99)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_280]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp3
| hskp1
| epred25_0
| c1_1(a99)
| c3_1(a99)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_280]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp20
| ~ c3_1(a133)
| hskp15
| epred23_0
| c2_1(a133)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_281]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp10
| ~ c1_1(a106)
| ~ c3_1(a106)
| hskp7
| epred17_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_13,c_0_282]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp10
| ~ c1_1(a106)
| hskp7
| epred17_0
| c2_1(a106)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_282]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp16
| hskp7
| epred17_0
| c2_1(a118)
| c3_1(a118)
| hskp10
| hskp20 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_379,negated_conjecture,
( c2_1(X1)
| epred14_0
| epred18_0
| c3_1(X1)
| c0_1(X1)
| hskp9
| epred7_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_285]) ).
cnf(c_0_380,negated_conjecture,
( ~ hskp3
| ~ c2_1(a99)
| hskp10
| epred9_0
| c1_1(a99)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_37,c_0_286]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp3
| hskp10
| epred9_0
| c1_1(a99)
| c3_1(a99)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_20,c_0_286]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp16
| ~ c1_1(a118)
| hskp9
| epred7_0
| c3_1(a118)
| epred20_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_287]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp7
| c2_1(a103)
| c3_1(a103)
| epred30_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_288]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp17
| hskp1
| hskp0
| c1_1(a124)
| c3_1(a124)
| epred2_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp3
| hskp0
| c1_1(a99)
| c3_1(a99)
| epred2_0
| epred5_0 ),
inference(spm,[status(thm)],[c_0_289,c_0_121]) ).
cnf(c_0_386,negated_conjecture,
( ~ c2_1(a109)
| ~ hskp11
| c3_1(a109)
| epred10_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_120]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp29
| ~ c2_1(a165)
| ~ c3_1(a165)
| epred14_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp10
| ~ c3_1(a106)
| c2_1(a106)
| epred6_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_188]) ).
cnf(c_0_389,negated_conjecture,
( ~ hskp20
| ~ c3_1(a133)
| epred30_0
| c2_1(a133)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_295]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp29
| ~ c2_1(a165)
| ~ c3_1(a165)
| epred18_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_296,c_0_293]) ).
cnf(c_0_391,negated_conjecture,
( ~ c3_1(a133)
| ~ hskp20
| c2_1(a133)
| epred12_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_297,c_0_46]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp14
| c2_1(a115)
| c3_1(a115)
| hskp1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_83]) ).
cnf(c_0_393,negated_conjecture,
( ~ c3_1(a133)
| ~ hskp20
| c2_1(a133)
| epred12_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_160,c_0_46]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp14
| epred1_0
| c2_1(a115)
| c3_1(a115)
| epred34_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_299]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp14
| c2_1(a115)
| c3_1(a115)
| hskp1
| hskp17 ),
inference(spm,[status(thm)],[c_0_300,c_0_198]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp22
| c1_1(a149)
| hskp2
| c0_1(a149)
| hskp3 ),
inference(spm,[status(thm)],[c_0_301,c_0_139]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp14
| c2_1(a115)
| c3_1(a115)
| hskp10
| hskp20 ),
inference(spm,[status(thm)],[c_0_283,c_0_198]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp14
| ~ c1_1(a115)
| c2_1(a115)
| hskp3
| hskp6 ),
inference(spm,[status(thm)],[c_0_302,c_0_198]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp13
| ~ c3_1(a112)
| c1_1(a112)
| hskp10
| hskp14 ),
inference(spm,[status(thm)],[c_0_303,c_0_44]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp18
| c3_1(a125)
| hskp16
| epred29_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_51]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp1
| ~ c2_1(a97)
| c1_1(a97)
| hskp14
| hskp18 ),
inference(spm,[status(thm)],[c_0_305,c_0_99]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp29
| ~ c2_1(a165)
| ~ c3_1(a165)
| hskp8
| hskp12 ),
inference(spm,[status(thm)],[c_0_306,c_0_293]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp15
| ~ c2_1(a116)
| ~ c3_1(a116)
| hskp9
| hskp22 ),
inference(spm,[status(thm)],[c_0_307,c_0_157]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp29
| ~ c2_1(a165)
| ~ c3_1(a165)
| hskp9
| hskp22 ),
inference(spm,[status(thm)],[c_0_307,c_0_293]) ).
cnf(c_0_405,negated_conjecture,
( ~ c1_1(a116)
| ~ c2_1(a116)
| ~ hskp15
| epred44_0 ),
inference(spm,[status(thm)],[c_0_155,c_0_308]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp14
| ~ c1_1(a115)
| c2_1(a115)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_198]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp20
| ~ c1_1(a133)
| c2_1(a133)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_113]) ).
cnf(c_0_408,negated_conjecture,
( ~ c3_1(a101)
| ~ hskp5
| c2_1(a101)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_309]) ).
cnf(c_0_409,negated_conjecture,
( ~ c1_1(a104)
| ~ hskp8
| c3_1(a104)
| epred40_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_205]) ).
cnf(c_0_410,negated_conjecture,
( ~ c1_1(a109)
| ~ hskp11
| c3_1(a109)
| epred40_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_205]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp7
| c1_1(a103)
| c2_1(a103)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_21]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp13
| c1_1(a112)
| c2_1(a112)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_44]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp20
| c1_1(a133)
| c2_1(a133)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_113]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp22
| hskp14
| epred2_0
| epred11_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_166,c_0_311]) ).
cnf(c_0_415,negated_conjecture,
( hskp14
| epred18_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_416,negated_conjecture,
( hskp16
| epred2_0
| epred7_0
| epred29_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_417,negated_conjecture,
( hskp14
| epred1_0
| epred5_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_316]) ).
cnf(c_0_418,negated_conjecture,
( hskp1
| hskp14
| epred25_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_215]),c_0_318]) ).
cnf(c_0_419,negated_conjecture,
( hskp13
| hskp16
| epred1_0
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_72]),c_0_73]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp18
| epred12_0
| epred15_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_73]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp18
| epred29_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_73]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp13
| epred2_0
| epred18_0
| epred23_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp13
| epred2_0
| epred23_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_322]) ).
cnf(c_0_424,negated_conjecture,
( epred6_0
| epred8_0
| epred11_0
| epred14_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp3
| epred19_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp15
| hskp7
| epred17_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_427,negated_conjecture,
( hskp11
| hskp29
| epred1_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_330]) ).
cnf(c_0_428,negated_conjecture,
( hskp9
| hskp11
| hskp29
| epred7_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_217,c_0_330]) ).
cnf(c_0_429,negated_conjecture,
( epred2_0
| epred8_0
| epred10_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_324,c_0_331]) ).
cnf(c_0_430,negated_conjecture,
( hskp14
| epred1_0
| epred7_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
cnf(c_0_431,negated_conjecture,
( hskp14
| epred2_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_333]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp7
| hskp1
| epred2_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp1
| epred2_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_336,c_0_135]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp1
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_135]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp22
| epred12_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp22
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_338]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp8
| hskp0
| c1_1(a104)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_78]),c_0_253]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp11
| hskp0
| c1_1(a109)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_78]),c_0_145]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp15
| epred39_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_226]) ).
cnf(c_0_440,negated_conjecture,
( hskp20
| hskp29
| epred33_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_5]) ).
cnf(c_0_441,negated_conjecture,
( epred20_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_340]),c_0_341]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp20
| epred28_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_297,c_0_295]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp20
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_113]),c_0_197]),c_0_114]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp14
| epred1_0
| epred20_0 ),
inference(spm,[status(thm)],[c_0_342,c_0_299]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp8
| epred3_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp9
| epred1_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_236]) ).
cnf(c_0_447,negated_conjecture,
( ~ hskp7
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_334,c_0_346]) ).
cnf(c_0_448,negated_conjecture,
( epred4_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_347]),c_0_254]) ).
cnf(c_0_449,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp3
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_348]),c_0_10])]) ).
cnf(c_0_450,negated_conjecture,
( ~ epred24_0
| ~ epred44_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_349,c_0_209]),c_0_122]),c_0_127]) ).
cnf(c_0_451,negated_conjecture,
( ~ epred28_0
| ~ epred39_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_350,c_0_60]),c_0_53]),c_0_8]) ).
cnf(c_0_452,negated_conjecture,
( ~ epred6_0
| ~ epred28_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_351,c_0_210]),c_0_79]),c_0_8]) ).
cnf(c_0_453,negated_conjecture,
( ~ epred32_0
| ~ epred36_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_352,c_0_102]),c_0_136]),c_0_137]) ).
cnf(c_0_454,negated_conjecture,
( ~ epred24_0
| ~ epred39_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_353,c_0_138]),c_0_122]),c_0_53]) ).
cnf(c_0_455,negated_conjecture,
( ~ epred10_0
| ~ epred35_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_354,c_0_62]),c_0_137]),c_0_87]) ).
cnf(c_0_456,negated_conjecture,
( ~ epred32_0
| ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_355,c_0_102]),c_0_175]),c_0_154]) ).
cnf(c_0_457,negated_conjecture,
( ~ epred14_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_109]),c_0_55]) ).
cnf(c_0_458,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_18]),c_0_74]) ).
cnf(c_0_459,negated_conjecture,
( ~ epred14_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_110]),c_0_55]) ).
cnf(c_0_460,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_111]),c_0_122]) ).
cnf(c_0_461,negated_conjecture,
( ~ epred19_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_165]),c_0_59]) ).
cnf(c_0_462,negated_conjecture,
( ~ epred17_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_12]),c_0_56]) ).
cnf(c_0_463,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_9]),c_0_178]) ).
cnf(c_0_464,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_348]),c_0_55]) ).
cnf(c_0_465,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_364,c_0_58]),c_0_33]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_365,c_0_133]),c_0_87]) ).
cnf(c_0_467,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_366,c_0_76]),c_0_159]) ).
cnf(c_0_468,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_54]),c_0_79]) ).
cnf(c_0_469,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_368,c_0_179]),c_0_61]) ).
cnf(c_0_470,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_415,c_0_214,c_0_416,c_0_417,c_0_316,c_0_418,c_0_419,c_0_420,c_0_421,c_0_73,c_0_422,c_0_423,c_0_322,c_0_424,c_0_425,c_0_327,c_0_426,c_0_427,c_0_43,c_0_428,c_0_429,c_0_233,c_0_119,c_0_229,c_0_430,c_0_431,c_0_237,c_0_230,c_0_163,c_0_118,c_0_432,c_0_433,c_0_434,c_0_192,c_0_135,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_326,c_0_321,c_0_226,c_0_323,c_0_320,c_0_440,c_0_339,c_0_332,c_0_441,c_0_134,c_0_442,c_0_295,c_0_297,c_0_443,c_0_444,c_0_445,c_0_312,c_0_343,c_0_446,c_0_95,c_0_234,c_0_167,c_0_447,c_0_324,c_0_334,c_0_314,c_0_69,c_0_39,c_0_299,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_278,c_0_455,c_0_456,c_0_457,c_0_458,c_0_20,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_129,c_0_141,c_0_140,c_0_114,c_0_52,c_0_194,c_0_193,c_0_32,c_0_31,c_0_200,c_0_199,c_0_45,c_0_145,c_0_189,c_0_253,c_0_23,c_0_22,c_0_249,c_0_66,c_0_108,c_0_106,c_0_101,c_0_85,c_0_84,c_0_82,c_0_117,c_0_197,c_0_156,c_0_47,c_0_231,c_0_65,c_0_116,c_0_144,c_0_248,c_0_121,c_0_100,c_0_30,c_0_157,c_0_188,c_0_215,c_0_168,c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN454+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.47 % Computer : n019.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 10:58:35 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.48 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.56 Running first-order theorem proving
% 0.22/0.56 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
% 20.79/3.87 % Version: 3.5.1
% 20.79/3.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.79/3.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.79/3.87 % Starting new_bool_3 with 300s (1) cores
% 20.79/3.87 % Starting new_bool_1 with 300s (1) cores
% 20.79/3.87 % Starting sh5l with 300s (1) cores
% 20.79/3.87 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2396773 completed with status 0
% 20.79/3.87 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 20.79/3.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.79/3.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.79/3.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.79/3.87 % No SInE strategy applied
% 20.79/3.87 % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.79/3.87 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.79/3.87 % Starting SubtermCWHack with 151s (1) cores
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.79/3.87 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 20.79/3.87 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 20.79/3.87 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2396781 completed with status 0
% 20.79/3.87 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 20.79/3.87 % Preprocessing class: FSLSSLSMSSSNFFN.
% 20.79/3.87 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 20.79/3.87 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.79/3.87 % No SInE strategy applied
% 20.79/3.87 % Search class: FGHNF-FSMM00-SFFFFFNN
% 20.79/3.87 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 20.79/3.87 % Starting SubtermCWHack with 151s (1) cores
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 20.79/3.87 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 20.79/3.87 % Preprocessing time : 0.002 s
% 20.79/3.87 % SatCheck found unsatisfiable ground set
% 20.79/3.87
% 20.79/3.87 % Proof found!
% 20.79/3.87 % SZS status Theorem
% 20.79/3.87 % SZS output start CNFRefutation
% See solution above
% 20.79/3.87 % Parsed axioms : 1
% 20.79/3.87 % Removed by relevancy pruning/SinE : 0
% 20.79/3.87 % Initial clauses : 180
% 20.79/3.87 % Removed in clause preprocessing : 0
% 20.79/3.87 % Initial clauses in saturation : 180
% 20.79/3.87 % Processed clauses : 7995
% 20.79/3.87 % ...of these trivial : 0
% 20.79/3.87 % ...subsumed : 2995
% 20.79/3.87 % ...remaining for further processing : 5000
% 20.79/3.87 % Other redundant clauses eliminated : 0
% 20.79/3.87 % Clauses deleted for lack of memory : 0
% 20.79/3.87 % Backward-subsumed : 1124
% 20.79/3.87 % Backward-rewritten : 52
% 20.79/3.87 % Generated clauses : 76224
% 20.79/3.87 % ...of the previous two non-redundant : 73051
% 20.79/3.87 % ...aggressively subsumed : 0
% 20.79/3.87 % Contextual simplify-reflections : 626
% 20.79/3.87 % Paramodulations : 76153
% 20.79/3.87 % Factorizations : 0
% 20.79/3.87 % NegExts : 0
% 20.79/3.87 % Equation resolutions : 0
% 20.79/3.87 % Disequality decompositions : 0
% 20.79/3.87 % Total rewrite steps : 77
% 20.79/3.87 % ...of those cached : 76
% 20.79/3.87 % Propositional unsat checks : 1
% 20.79/3.87 % Propositional check models : 0
% 20.79/3.87 % Propositional check unsatisfiable : 1
% 20.79/3.87 % Propositional clauses : 68203
% 20.79/3.87 % Propositional clauses after purity: 67673
% 20.79/3.87 % Propositional unsat core size : 181
% 20.79/3.87 % Propositional preprocessing time : 0.000
% 20.79/3.87 % Propositional encoding time : 0.049
% 20.79/3.87 % Propositional solver time : 0.181
% 20.79/3.87 % Success case prop preproc time : 0.000
% 20.79/3.87 % Success case prop encoding time : 0.049
% 20.79/3.87 % Success case prop solver time : 0.181
% 20.79/3.87 % Current number of processed clauses : 3798
% 20.79/3.87 % Positive orientable unit clauses : 1
% 20.79/3.87 % Positive unorientable unit clauses: 0
% 20.79/3.87 % Negative unit clauses : 0
% 20.79/3.87 % Non-unit-clauses : 3797
% 20.79/3.87 % Current number of unprocessed clauses: 64405
% 20.79/3.87 % ...number of literals in the above : 448728
% 20.79/3.87 % Current number of archived formulas : 0
% 20.79/3.87 % Current number of archived clauses : 1176
% 20.79/3.87 % Clause-clause subsumption calls (NU) : 4624560
% 20.79/3.87 % Rec. Clause-clause subsumption calls : 181907
% 20.79/3.87 % Non-unit clause-clause subsumptions : 4777
% 20.79/3.87 % Unit Clause-clause subsumption calls : 5
% 20.79/3.87 % Rewrite failures with RHS unbound : 0
% 20.79/3.87 % BW rewrite match attempts : 1
% 20.79/3.87 % BW rewrite match successes : 1
% 20.79/3.87 % Condensation attempts : 7995
% 20.79/3.87 % Condensation successes : 0
% 20.79/3.87 % Termbank termtop insertions : 723901
% 20.79/3.87 % Search garbage collected termcells : 1600
% 20.79/3.87
% 20.79/3.87 % -------------------------------------------------
% 20.79/3.87 % User time : 3.087 s
% 20.79/3.87 % System time : 0.108 s
% 20.79/3.87 % Total time : 3.195 s
% 20.79/3.87 % Maximum resident set size: 3872 pages
% 20.79/3.87
% 20.79/3.87 % -------------------------------------------------
% 20.79/3.87 % User time : 14.579 s
% 20.79/3.88 % System time : 0.365 s
% 20.79/3.88 % Total time : 14.944 s
% 20.79/3.88 % Maximum resident set size: 5120 pages
% 20.79/3.88 % E exiting
%------------------------------------------------------------------------------