TSTP Solution File: SYN443+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:16:17 EDT 2023
% Result : Timeout 184.33s 300.03s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 44
% Syntax : Number of formulae : 652 ( 2 unt; 0 def)
% Number of atoms : 4485 ( 0 equ)
% Maximal formula atoms : 681 ( 6 avg)
% Number of connectives : 5598 (1765 ~;3071 |; 549 &)
% ( 43 <=>; 170 =>; 0 <=; 0 <~>)
% Maximal formula depth : 272 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 80 ( 79 usr; 76 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 506 ( 0 sgn; 298 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c2_1(X7)
| ~ c0_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c3_1(X8)
| ~ c0_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| ~ c0_1(X10)
| ~ c2_1(X10) ) )
| hskp1 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| c3_1(X12)
| ~ c0_1(X12) ) )
| hskp2 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c3_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| hskp4 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| hskp5
| hskp0 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| hskp6
| hskp7 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| hskp27
| hskp8 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| hskp9
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c3_1(X21) ) )
| hskp6 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| ~ c1_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| ~ c1_1(X23)
| ~ c2_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c0_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp28
| hskp27 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c3_1(X27)
| ~ c0_1(X27) ) )
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c0_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) )
| hskp10 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp11
| hskp6 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c3_1(X31) ) )
| hskp12
| hskp13 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp0 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c3_1(X35)
| ~ c0_1(X35) ) )
| hskp3 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) )
| hskp29
| hskp14 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| c3_1(X38)
| ~ c2_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c2_1(X39)
| ~ c0_1(X39)
| ~ c3_1(X39) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| hskp15
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| ~ c0_1(X43)
| ~ c2_1(X43) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| ~ c2_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ) )
| hskp5 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| hskp9
| hskp16 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c2_1(X47)
| c3_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c3_1(X48)
| ~ c0_1(X48) ) )
| hskp17 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| c3_1(X49) ) )
| hskp30
| hskp18 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| c3_1(X50) ) )
| hskp1
| hskp19 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp29
| hskp20 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52) ) )
| hskp1
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| ~ c0_1(X53) ) )
| hskp0
| hskp21 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c2_1(X54)
| ~ c3_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp22 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| ~ c0_1(X57)
| ~ c1_1(X57) ) )
| hskp0 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| hskp5 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c3_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| ~ c2_1(X61)
| ~ c3_1(X61) ) )
| hskp29 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) )
| hskp29 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c0_1(X64)
| ~ c2_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c0_1(X65) ) )
| hskp13 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c3_1(X68) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| ~ c0_1(X70)
| ~ c1_1(X70) ) )
| hskp16 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp19 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp2
| hskp23 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp1
| hskp0 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c0_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| hskp22 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| hskp2
| hskp4 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( c3_1(X79)
| ~ c0_1(X79)
| ~ c2_1(X79) ) )
| hskp24 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| hskp22
| hskp19 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c1_1(X81)
| ~ c3_1(X81) ) )
| hskp18
| hskp14 )
& ( ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82) ) )
| hskp27
| hskp25 )
& ( ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c2_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
file('/export/starexec/sandbox/tmp/tmp.9BrBQT2JWj/E---3.1_2778.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c2_1(X7)
| ~ c0_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c3_1(X8)
| ~ c0_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c1_1(X10)
| ~ c0_1(X10)
| ~ c2_1(X10) ) )
| hskp1 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| c3_1(X12)
| ~ c0_1(X12) ) )
| hskp2 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c3_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| c3_1(X15) ) )
| hskp4 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| hskp5
| hskp0 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| hskp6
| hskp7 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| hskp27
| hskp8 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| hskp9
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c3_1(X21) ) )
| hskp6 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| ~ c1_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| ~ c1_1(X23)
| ~ c2_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c0_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp28
| hskp27 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c3_1(X27)
| ~ c0_1(X27) ) )
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c0_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) )
| hskp10 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp11
| hskp6 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c3_1(X31) ) )
| hskp12
| hskp13 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp0 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c3_1(X35)
| ~ c0_1(X35) ) )
| hskp3 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) )
| hskp29
| hskp14 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| c3_1(X38)
| ~ c2_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c2_1(X39)
| ~ c0_1(X39)
| ~ c3_1(X39) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| hskp15
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| ~ c0_1(X43)
| ~ c2_1(X43) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| ~ c2_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ) )
| hskp5 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| hskp9
| hskp16 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c2_1(X47)
| c3_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c3_1(X48)
| ~ c0_1(X48) ) )
| hskp17 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| c3_1(X49) ) )
| hskp30
| hskp18 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| c3_1(X50) ) )
| hskp1
| hskp19 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp29
| hskp20 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52) ) )
| hskp1
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| ~ c0_1(X53) ) )
| hskp0
| hskp21 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c2_1(X54)
| ~ c3_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp22 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c3_1(X57)
| ~ c0_1(X57)
| ~ c1_1(X57) ) )
| hskp0 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| hskp5 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c3_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c1_1(X61)
| ~ c2_1(X61)
| ~ c3_1(X61) ) )
| hskp29 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) )
| hskp29 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| ~ c0_1(X64)
| ~ c2_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| c3_1(X65)
| ~ c0_1(X65) ) )
| hskp13 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c3_1(X68) ) ) )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c3_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c3_1(X70)
| ~ c0_1(X70)
| ~ c1_1(X70) ) )
| hskp16 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp19 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp2
| hskp23 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp1
| hskp0 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c0_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) )
| hskp22 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| hskp2
| hskp4 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| c3_1(X78)
| ~ c1_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( c3_1(X79)
| ~ c0_1(X79)
| ~ c2_1(X79) ) )
| hskp24 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| hskp22
| hskp19 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c1_1(X81)
| ~ c3_1(X81) ) )
| hskp18
| hskp14 )
& ( ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82) ) )
| hskp27
| hskp25 )
& ( ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c2_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [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,X167,X168,X169,X170] :
( ( ndr1_0
| ~ hskp0 )
& ( c1_1(a1)
| ~ hskp0 )
& ( c2_1(a1)
| ~ hskp0 )
& ( ~ c0_1(a1)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c0_1(a2)
| ~ hskp1 )
& ( c3_1(a2)
| ~ hskp1 )
& ( ~ c2_1(a2)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( c0_1(a3)
| ~ hskp2 )
& ( c2_1(a3)
| ~ hskp2 )
& ( ~ c1_1(a3)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c3_1(a4)
| ~ hskp3 )
& ( ~ c0_1(a4)
| ~ hskp3 )
& ( ~ c1_1(a4)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( c2_1(a5)
| ~ hskp4 )
& ( c3_1(a5)
| ~ hskp4 )
& ( ~ c1_1(a5)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c0_1(a6)
| ~ hskp5 )
& ( c2_1(a6)
| ~ hskp5 )
& ( ~ c3_1(a6)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a8)
| ~ hskp6 )
& ( ~ c2_1(a8)
| ~ hskp6 )
& ( ~ c3_1(a8)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( c1_1(a9)
| ~ hskp7 )
& ( ~ c0_1(a9)
| ~ hskp7 )
& ( ~ c2_1(a9)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c1_1(a11)
| ~ hskp8 )
& ( c2_1(a11)
| ~ hskp8 )
& ( ~ c3_1(a11)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c1_1(a12)
| ~ hskp9 )
& ( ~ c2_1(a12)
| ~ hskp9 )
& ( ~ c3_1(a12)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( ~ c0_1(a18)
| ~ hskp10 )
& ( ~ c1_1(a18)
| ~ hskp10 )
& ( ~ c3_1(a18)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c0_1(a19)
| ~ hskp11 )
& ( c1_1(a19)
| ~ hskp11 )
& ( ~ c3_1(a19)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c0_1(a21)
| ~ hskp12 )
& ( ~ c1_1(a21)
| ~ hskp12 )
& ( ~ c3_1(a21)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( ~ c0_1(a22)
| ~ hskp13 )
& ( ~ c2_1(a22)
| ~ hskp13 )
& ( ~ c3_1(a22)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( ~ c0_1(a26)
| ~ hskp14 )
& ( ~ c1_1(a26)
| ~ hskp14 )
& ( ~ c2_1(a26)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c0_1(a27)
| ~ hskp15 )
& ( c1_1(a27)
| ~ hskp15 )
& ( ~ c2_1(a27)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c2_1(a31)
| ~ hskp16 )
& ( ~ c0_1(a31)
| ~ hskp16 )
& ( ~ c1_1(a31)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c3_1(a32)
| ~ hskp17 )
& ( ~ c0_1(a32)
| ~ hskp17 )
& ( ~ c2_1(a32)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c3_1(a34)
| ~ hskp18 )
& ( ~ c1_1(a34)
| ~ hskp18 )
& ( ~ c2_1(a34)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( ~ c1_1(a36)
| ~ hskp19 )
& ( ~ c2_1(a36)
| ~ hskp19 )
& ( ~ c3_1(a36)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c1_1(a38)
| ~ hskp20 )
& ( c3_1(a38)
| ~ hskp20 )
& ( ~ c0_1(a38)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c2_1(a42)
| ~ hskp21 )
& ( c3_1(a42)
| ~ hskp21 )
& ( ~ c0_1(a42)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c2_1(a43)
| ~ hskp22 )
& ( ~ c1_1(a43)
| ~ hskp22 )
& ( ~ c3_1(a43)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c0_1(a52)
| ~ hskp23 )
& ( ~ c1_1(a52)
| ~ hskp23 )
& ( ~ c2_1(a52)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c0_1(a58)
| ~ hskp24 )
& ( c3_1(a58)
| ~ hskp24 )
& ( ~ c1_1(a58)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( c1_1(a64)
| ~ hskp25 )
& ( c3_1(a64)
| ~ hskp25 )
& ( ~ c2_1(a64)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c2_1(a92)
| ~ hskp26 )
& ( ~ c0_1(a92)
| ~ hskp26 )
& ( ~ c3_1(a92)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c1_1(a10)
| ~ hskp27 )
& ( c2_1(a10)
| ~ hskp27 )
& ( c3_1(a10)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a15)
| ~ hskp28 )
& ( c1_1(a15)
| ~ hskp28 )
& ( c3_1(a15)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c0_1(a25)
| ~ hskp29 )
& ( c1_1(a25)
| ~ hskp29 )
& ( c2_1(a25)
| ~ hskp29 )
& ( ndr1_0
| ~ hskp30 )
& ( c0_1(a33)
| ~ hskp30 )
& ( c2_1(a33)
| ~ hskp30 )
& ( c3_1(a33)
| ~ hskp30 )
& ( ~ ndr1_0
| c0_1(X86)
| c1_1(X86)
| c2_1(X86)
| ~ ndr1_0
| c0_1(X87)
| c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0
| c1_1(X88)
| c3_1(X88)
| ~ c0_1(X88) )
& ( ~ ndr1_0
| c0_1(X89)
| c1_1(X89)
| c2_1(X89)
| ~ ndr1_0
| c0_1(X90)
| c2_1(X90)
| c3_1(X90)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X91)
| c1_1(X91)
| c2_1(X91)
| ~ ndr1_0
| c1_1(X92)
| c2_1(X92)
| ~ c0_1(X92)
| ~ ndr1_0
| c2_1(X93)
| c3_1(X93)
| ~ c0_1(X93) )
& ( ~ ndr1_0
| c0_1(X94)
| c1_1(X94)
| c2_1(X94)
| ~ ndr1_0
| c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95)
| hskp1 )
& ( ~ ndr1_0
| c0_1(X96)
| c1_1(X96)
| c2_1(X96)
| ~ ndr1_0
| c2_1(X97)
| c3_1(X97)
| ~ c0_1(X97)
| hskp2 )
& ( ~ ndr1_0
| c0_1(X98)
| c1_1(X98)
| c3_1(X98)
| ~ ndr1_0
| c2_1(X99)
| ~ c0_1(X99)
| ~ c3_1(X99)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X100)
| c1_1(X100)
| c3_1(X100)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X101)
| c1_1(X101)
| ~ c2_1(X101)
| hskp5
| hskp0 )
& ( ~ ndr1_0
| c0_1(X102)
| c1_1(X102)
| ~ c3_1(X102)
| hskp6
| hskp7 )
& ( ~ ndr1_0
| c0_1(X103)
| c1_1(X103)
| ~ c3_1(X103)
| hskp27
| hskp8 )
& ( ~ ndr1_0
| c0_1(X104)
| c1_1(X104)
| ~ c3_1(X104)
| hskp9
| hskp3 )
& ( ~ ndr1_0
| c0_1(X105)
| c2_1(X105)
| ~ c1_1(X105)
| ~ ndr1_0
| c0_1(X106)
| c2_1(X106)
| ~ c3_1(X106)
| hskp6 )
& ( ~ ndr1_0
| c0_1(X107)
| c2_1(X107)
| ~ c1_1(X107)
| ~ ndr1_0
| c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108)
| ~ ndr1_0
| c1_1(X109)
| c3_1(X109)
| ~ c0_1(X109) )
& ( ~ ndr1_0
| c0_1(X110)
| c2_1(X110)
| ~ c1_1(X110)
| hskp28
| hskp27 )
& ( ~ ndr1_0
| c0_1(X111)
| c2_1(X111)
| ~ c3_1(X111)
| ~ ndr1_0
| c1_1(X112)
| c3_1(X112)
| ~ c0_1(X112)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X113)
| c2_1(X113)
| ~ c3_1(X113)
| ~ ndr1_0
| ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X115)
| c2_1(X115)
| ~ c3_1(X115)
| hskp11
| hskp6 )
& ( ~ ndr1_0
| c0_1(X116)
| c2_1(X116)
| ~ c3_1(X116)
| hskp12
| hskp13 )
& ( ~ ndr1_0
| c0_1(X117)
| c3_1(X117)
| ~ c1_1(X117)
| ~ ndr1_0
| c1_1(X118)
| c3_1(X118)
| ~ c2_1(X118)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X119)
| c3_1(X119)
| ~ c2_1(X119)
| ~ ndr1_0
| c1_1(X120)
| c3_1(X120)
| ~ c0_1(X120)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X121)
| c3_1(X121)
| ~ c2_1(X121)
| hskp29
| hskp14 )
& ( ~ ndr1_0
| c0_1(X122)
| ~ c1_1(X122)
| ~ c2_1(X122)
| ~ ndr1_0
| c1_1(X123)
| c3_1(X123)
| ~ c2_1(X123)
| ~ ndr1_0
| c2_1(X124)
| ~ c0_1(X124)
| ~ c3_1(X124) )
& ( ~ ndr1_0
| c0_1(X125)
| ~ c1_1(X125)
| ~ c2_1(X125)
| hskp15
| hskp4 )
& ( ~ ndr1_0
| c0_1(X126)
| ~ c2_1(X126)
| ~ c3_1(X126)
| ~ ndr1_0
| c1_1(X127)
| ~ c0_1(X127)
| ~ c2_1(X127)
| ~ ndr1_0
| c3_1(X128)
| ~ c0_1(X128)
| ~ c2_1(X128) )
& ( ~ ndr1_0
| c0_1(X129)
| ~ c2_1(X129)
| ~ c3_1(X129)
| ~ ndr1_0
| c1_1(X130)
| ~ c0_1(X130)
| ~ c2_1(X130)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X131)
| ~ c2_1(X131)
| ~ c3_1(X131)
| hskp9
| hskp16 )
& ( ~ ndr1_0
| c1_1(X132)
| c2_1(X132)
| c3_1(X132)
| ~ ndr1_0
| c1_1(X133)
| c3_1(X133)
| ~ c0_1(X133)
| hskp17 )
& ( ~ ndr1_0
| c1_1(X134)
| c2_1(X134)
| c3_1(X134)
| hskp30
| hskp18 )
& ( ~ ndr1_0
| c1_1(X135)
| c2_1(X135)
| c3_1(X135)
| hskp1
| hskp19 )
& ( ~ ndr1_0
| c1_1(X136)
| c2_1(X136)
| ~ c0_1(X136)
| hskp29
| hskp20 )
& ( ~ ndr1_0
| c1_1(X137)
| c2_1(X137)
| ~ c0_1(X137)
| hskp1
| hskp13 )
& ( ~ ndr1_0
| c1_1(X138)
| c2_1(X138)
| ~ c0_1(X138)
| hskp0
| hskp21 )
& ( ~ ndr1_0
| c1_1(X139)
| c2_1(X139)
| ~ c3_1(X139)
| ~ ndr1_0
| c1_1(X140)
| ~ c2_1(X140)
| ~ c3_1(X140)
| hskp22 )
& ( ~ ndr1_0
| c1_1(X141)
| c2_1(X141)
| ~ c3_1(X141)
| ~ ndr1_0
| c3_1(X142)
| ~ c0_1(X142)
| ~ c1_1(X142)
| hskp0 )
& ( ~ ndr1_0
| c1_1(X143)
| c2_1(X143)
| ~ c3_1(X143)
| ~ ndr1_0
| c3_1(X144)
| ~ c0_1(X144)
| ~ c2_1(X144)
| hskp5 )
& ( ~ ndr1_0
| c1_1(X145)
| c2_1(X145)
| ~ c3_1(X145)
| ~ ndr1_0
| ~ c1_1(X146)
| ~ c2_1(X146)
| ~ c3_1(X146)
| hskp29 )
& ( ~ ndr1_0
| c1_1(X147)
| c3_1(X147)
| ~ c0_1(X147)
| ~ ndr1_0
| ~ c0_1(X148)
| ~ c2_1(X148)
| ~ c3_1(X148)
| hskp29 )
& ( ~ ndr1_0
| c1_1(X149)
| ~ c0_1(X149)
| ~ c2_1(X149)
| ~ ndr1_0
| c2_1(X150)
| c3_1(X150)
| ~ c0_1(X150)
| hskp13 )
& ( ~ ndr1_0
| c1_1(X151)
| ~ c0_1(X151)
| ~ c2_1(X151)
| ~ ndr1_0
| c2_1(X152)
| ~ c0_1(X152)
| ~ c1_1(X152)
| ~ ndr1_0
| ~ c0_1(X153)
| ~ c1_1(X153)
| ~ c3_1(X153) )
& ( ~ ndr1_0
| c1_1(X154)
| ~ c0_1(X154)
| ~ c3_1(X154)
| ~ ndr1_0
| c3_1(X155)
| ~ c0_1(X155)
| ~ c1_1(X155)
| hskp16 )
& ( ~ ndr1_0
| c1_1(X156)
| ~ c2_1(X156)
| ~ c3_1(X156)
| ~ ndr1_0
| ~ c1_1(X157)
| ~ c2_1(X157)
| ~ c3_1(X157)
| hskp19 )
& ( ~ ndr1_0
| c1_1(X158)
| ~ c2_1(X158)
| ~ c3_1(X158)
| hskp2
| hskp23 )
& ( ~ ndr1_0
| c1_1(X159)
| ~ c2_1(X159)
| ~ c3_1(X159)
| hskp1
| hskp0 )
& ( ~ ndr1_0
| c2_1(X160)
| c3_1(X160)
| ~ c0_1(X160)
| ~ ndr1_0
| c2_1(X161)
| c3_1(X161)
| ~ c1_1(X161)
| hskp22 )
& ( ~ ndr1_0
| c2_1(X162)
| c3_1(X162)
| ~ c0_1(X162)
| hskp2
| hskp4 )
& ( ~ ndr1_0
| c2_1(X163)
| c3_1(X163)
| ~ c1_1(X163)
| ~ ndr1_0
| c3_1(X164)
| ~ c0_1(X164)
| ~ c2_1(X164)
| hskp24 )
& ( ~ ndr1_0
| c2_1(X165)
| ~ c0_1(X165)
| ~ c3_1(X165)
| hskp22
| hskp19 )
& ( ~ ndr1_0
| c2_1(X166)
| ~ c1_1(X166)
| ~ c3_1(X166)
| hskp18
| hskp14 )
& ( ~ ndr1_0
| c3_1(X167)
| ~ c1_1(X167)
| ~ c2_1(X167)
| hskp27
| hskp25 )
& ( ~ ndr1_0
| ~ c0_1(X168)
| ~ c1_1(X168)
| ~ c2_1(X168)
| ~ ndr1_0
| ~ c0_1(X169)
| ~ c1_1(X169)
| ~ c3_1(X169)
| ~ ndr1_0
| ~ c1_1(X170)
| ~ c2_1(X170)
| ~ c3_1(X170) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp11
| hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
( ~ epred45_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_7,plain,
( ~ epred30_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_8,plain,
( ~ epred35_0
<=> ! [X3] :
( c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_9,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
fof(c_0_10,plain,
( ~ epred2_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_11,negated_conjecture,
( epred45_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( c3_1(a33)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( c0_1(a33)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( epred30_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
fof(c_0_15,plain,
( ~ epred25_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_16,plain,
( ~ epred3_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| hskp2
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_17,negated_conjecture,
( epred35_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).
cnf(c_0_18,negated_conjecture,
( c3_1(a34)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( ~ c1_1(a34)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( epred2_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( ~ c2_1(a34)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
( epred45_0
| ~ hskp30
| ~ c1_1(a33) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( epred30_0
| c1_1(a33)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13]) ).
fof(c_0_24,plain,
( ~ epred36_0
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_25,negated_conjecture,
( ~ c3_1(a19)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( epred25_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( c0_1(a19)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( epred3_0
| hskp2
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_16]),c_0_9])]) ).
cnf(c_0_29,negated_conjecture,
( ~ c1_1(a58)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( epred35_0
| epred30_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( c0_1(a58)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_32,plain,
( ~ epred26_0
<=> ! [X1] :
( c0_1(X1)
| hskp5
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_33,plain,
( ~ epred9_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_34,negated_conjecture,
( epred30_0
| ~ hskp18
| ~ c0_1(a34) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( epred2_0
| c0_1(a34)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( epred45_0
| epred30_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_37,negated_conjecture,
( hskp30
| hskp2
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( ~ c3_1(a43)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( c2_1(a43)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( ~ c1_1(a43)
| ~ hskp22 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( epred36_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_42,negated_conjecture,
( epred25_0
| ~ hskp11
| ~ c2_1(a19) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_43,negated_conjecture,
( epred3_0
| hskp2
| c2_1(a19)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_25]) ).
cnf(c_0_44,negated_conjecture,
( ~ c1_1(a52)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( c0_1(a52)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( epred35_0
| epred30_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_47,negated_conjecture,
( hskp2
| hskp24
| hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_48,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_49,plain,
( ~ epred19_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_50,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp30
| hskp18
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_51,plain,
( ~ epred42_0
<=> ! [X3] :
( c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_52,plain,
( ~ epred23_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_53,plain,
( ~ epred40_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_54,plain,
( ~ epred13_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp6
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_55,plain,
( ~ epred37_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_56,negated_conjecture,
( c3_1(a5)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( ~ c1_1(a5)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,negated_conjecture,
( epred26_0
| hskp5
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_32]),c_0_9])]) ).
cnf(c_0_59,negated_conjecture,
( c2_1(a5)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp4
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_61,plain,
( ~ epred16_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| hskp22
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_62,plain,
( ~ epred17_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_63,plain,
( ~ epred24_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| hskp24
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_64,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp2
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,negated_conjecture,
( ~ c1_1(a3)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,negated_conjecture,
( epred9_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_67,negated_conjecture,
( c2_1(a3)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_68,negated_conjecture,
( c0_1(a3)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,negated_conjecture,
( epred30_0
| epred2_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_70,negated_conjecture,
( epred45_0
| epred30_0
| hskp18
| hskp2 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_71,negated_conjecture,
( epred25_0
| ~ hskp22
| ~ c0_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_39]) ).
cnf(c_0_72,negated_conjecture,
( epred36_0
| c0_1(a43)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_39]) ).
cnf(c_0_73,negated_conjecture,
( epred25_0
| epred3_0
| hskp2
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_74,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_75,negated_conjecture,
( epred35_0
| epred30_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_45]) ).
cnf(c_0_76,negated_conjecture,
( epred35_0
| epred30_0
| hskp23
| hskp2 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_77,plain,
( ~ epred39_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_78,plain,
( ~ epred7_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_79,negated_conjecture,
( epred28_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_48]) ).
cnf(c_0_80,negated_conjecture,
( c2_1(a33)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_81,negated_conjecture,
( epred19_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
cnf(c_0_82,negated_conjecture,
( hskp30
| hskp18
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_9])]) ).
cnf(c_0_83,negated_conjecture,
( c2_1(X1)
| hskp18
| hskp14
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,negated_conjecture,
( epred42_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_51]),c_0_9])]) ).
fof(c_0_85,plain,
( ~ epred46_0
<=> ! [X3] :
( ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_86,negated_conjecture,
( epred23_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_52]) ).
cnf(c_0_87,negated_conjecture,
( epred40_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_53]) ).
cnf(c_0_88,negated_conjecture,
( c1_1(a38)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_89,negated_conjecture,
( ~ c0_1(a38)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_90,negated_conjecture,
( epred13_0
| hskp6
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_54]),c_0_9])]) ).
cnf(c_0_91,negated_conjecture,
( ~ c3_1(a12)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_92,negated_conjecture,
( epred37_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_55]),c_0_9])]) ).
cnf(c_0_93,negated_conjecture,
( ~ c2_1(a12)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_94,negated_conjecture,
( c1_1(a12)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_95,negated_conjecture,
( ~ c3_1(a6)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_96,negated_conjecture,
( c2_1(a6)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_97,negated_conjecture,
( c0_1(a6)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,negated_conjecture,
( epred30_0
| ~ hskp4
| ~ c0_1(a5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_56]),c_0_57]) ).
cnf(c_0_99,negated_conjecture,
( epred26_0
| hskp5
| c0_1(a5)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_59]) ).
cnf(c_0_100,negated_conjecture,
( hskp4
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_9])]) ).
cnf(c_0_101,negated_conjecture,
( epred16_0
| hskp22
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_61]),c_0_9])]) ).
cnf(c_0_102,negated_conjecture,
( epred17_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_62]) ).
cnf(c_0_103,negated_conjecture,
( c1_1(a19)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_104,negated_conjecture,
( c3_1(a58)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_105,negated_conjecture,
( epred24_0
| hskp24
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_63]),c_0_9])]) ).
cnf(c_0_106,negated_conjecture,
( c3_1(a15)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_107,negated_conjecture,
( c1_1(a15)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_108,negated_conjecture,
( c0_1(a15)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_109,negated_conjecture,
( c3_1(a2)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_110,negated_conjecture,
( c0_1(a2)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_111,negated_conjecture,
( hskp2
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_64]) ).
cnf(c_0_112,negated_conjecture,
( epred9_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_113,negated_conjecture,
( epred45_0
| epred30_0
| epred2_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_114,negated_conjecture,
( epred36_0
| epred25_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_115,negated_conjecture,
( epred25_0
| epred3_0
| hskp22
| hskp2 ),
inference(spm,[status(thm)],[c_0_73,c_0_4]) ).
cnf(c_0_116,negated_conjecture,
( c1_1(X3)
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_74]) ).
cnf(c_0_117,negated_conjecture,
( epred35_0
| epred30_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_118,plain,
( ~ epred14_0
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_119,plain,
( ~ epred38_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_120,plain,
( ~ epred12_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_121,negated_conjecture,
( epred39_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_77]) ).
fof(c_0_122,plain,
( ~ epred4_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp17
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_123,plain,
( ~ epred34_0
<=> ! [X1] :
( c1_1(X1)
| hskp19
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_124,plain,
( ~ epred47_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_125,plain,
( ~ epred8_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp1
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_126,negated_conjecture,
( c2_1(X1)
| hskp22
| hskp19
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_127,negated_conjecture,
( ~ c3_1(a18)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_128,negated_conjecture,
( epred7_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_78]) ).
cnf(c_0_129,negated_conjecture,
( ~ c1_1(a18)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_130,negated_conjecture,
( ~ c0_1(a18)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_131,plain,
( ~ epred27_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_132,plain,
( ~ epred44_0
<=> ! [X2] :
( c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_133,negated_conjecture,
( epred28_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_12]),c_0_80]),c_0_13]) ).
cnf(c_0_134,negated_conjecture,
( epred19_0
| hskp30
| hskp18
| c2_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_135,negated_conjecture,
( epred19_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_18]),c_0_19]),c_0_21]) ).
cnf(c_0_136,negated_conjecture,
( hskp18
| hskp14
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_9])]) ).
cnf(c_0_137,negated_conjecture,
( c3_1(a32)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_138,negated_conjecture,
( ~ c2_1(a32)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_139,negated_conjecture,
( epred42_0
| epred28_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_84]) ).
cnf(c_0_140,negated_conjecture,
( epred46_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_85]),c_0_9])]) ).
cnf(c_0_141,negated_conjecture,
( epred23_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_56]),c_0_59]),c_0_57]) ).
fof(c_0_142,plain,
( ~ epred5_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
( epred40_0
| ~ hskp20
| ~ c2_1(a38) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_144,negated_conjecture,
( epred13_0
| hskp6
| c2_1(a38)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_88]),c_0_89]) ).
cnf(c_0_145,negated_conjecture,
( ~ c3_1(a8)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_146,negated_conjecture,
( c0_1(a8)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_147,negated_conjecture,
( ~ c2_1(a8)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_148,negated_conjecture,
( c1_1(a9)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_149,negated_conjecture,
( ~ c2_1(a9)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_150,negated_conjecture,
( ~ c0_1(a9)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_151,plain,
( ~ epred41_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp0
| c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( epred37_0
| ~ hskp9
| ~ c0_1(a12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_154,negated_conjecture,
( epred13_0
| hskp6
| c0_1(a12)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_94]),c_0_93]) ).
cnf(c_0_155,negated_conjecture,
( epred25_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_26]),c_0_96]),c_0_97]) ).
cnf(c_0_156,negated_conjecture,
( epred30_0
| epred26_0
| hskp5
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_157,negated_conjecture,
( hskp4
| c0_1(a43)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_100]),c_0_40]) ).
cnf(c_0_158,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a19)
| c2_1(a19) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_27]),c_0_4]) ).
cnf(c_0_159,negated_conjecture,
( epred17_0
| c2_1(a19)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_102]),c_0_103]) ).
cnf(c_0_160,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| hskp24
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_161,negated_conjecture,
( epred30_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_104]),c_0_31]),c_0_29]) ).
cnf(c_0_162,negated_conjecture,
( epred24_0
| hskp24
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_94]),c_0_93]),c_0_91]) ).
cnf(c_0_163,negated_conjecture,
( epred45_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_164,negated_conjecture,
( hskp28
| hskp1
| hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_165,negated_conjecture,
( epred45_0
| ~ hskp1
| ~ c1_1(a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_109]),c_0_110]) ).
cnf(c_0_166,negated_conjecture,
( epred30_0
| c1_1(a2)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_109]),c_0_110]) ).
cnf(c_0_167,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| hskp5
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_168,negated_conjecture,
( ~ epred3_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_111,c_0_16]),c_0_10]) ).
cnf(c_0_169,negated_conjecture,
( epred45_0
| epred30_0
| epred9_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_170,negated_conjecture,
( epred36_0
| epred25_0
| epred3_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_171,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_116,c_0_8]),c_0_10]),c_0_24]) ).
cnf(c_0_172,negated_conjecture,
( epred35_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_30]),c_0_68]),c_0_117]) ).
cnf(c_0_173,negated_conjecture,
( epred14_0
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_118]) ).
cnf(c_0_174,negated_conjecture,
( c3_1(a38)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_175,negated_conjecture,
( epred38_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_119]) ).
cnf(c_0_176,negated_conjecture,
( epred12_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_120]) ).
cnf(c_0_177,negated_conjecture,
( ~ c0_1(a32)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_178,negated_conjecture,
( epred39_0
| epred2_0
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_20]) ).
cnf(c_0_179,negated_conjecture,
( ~ c3_1(a36)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_180,negated_conjecture,
( epred4_0
| hskp17
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_122]),c_0_9])]) ).
cnf(c_0_181,negated_conjecture,
( ~ c1_1(a36)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_182,negated_conjecture,
( ~ c2_1(a36)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_183,negated_conjecture,
( epred34_0
| hskp19
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_9])]) ).
cnf(c_0_184,negated_conjecture,
( c3_1(a4)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_185,negated_conjecture,
( ~ c1_1(a4)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_186,negated_conjecture,
( ~ c0_1(a4)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_187,plain,
( ~ epred10_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_188,negated_conjecture,
( epred47_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_124]) ).
cnf(c_0_189,negated_conjecture,
( epred8_0
| hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_9])]) ).
cnf(c_0_190,negated_conjecture,
( hskp22
| hskp19
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_9])]) ).
cnf(c_0_191,negated_conjecture,
( epred7_0
| ~ hskp10
| ~ c2_1(a18) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_192,negated_conjecture,
( epred2_0
| c2_1(a18)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_20]),c_0_130]) ).
cnf(c_0_193,negated_conjecture,
( epred27_0
| hskp10
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_9])]) ).
cnf(c_0_194,negated_conjecture,
( epred44_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_9])]) ).
fof(c_0_195,plain,
( ~ epred21_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| hskp13
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_196,plain,
( ~ epred43_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_197,negated_conjecture,
( ~ c1_1(a26)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_198,negated_conjecture,
( epred28_0
| epred19_0
| c2_1(X1)
| c1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_199,negated_conjecture,
( ~ c2_1(a26)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_200,negated_conjecture,
( hskp18
| hskp14
| ~ hskp17
| ~ c1_1(a32) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_201,negated_conjecture,
( epred19_0
| c1_1(a32)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_137]),c_0_138]) ).
cnf(c_0_202,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_203,negated_conjecture,
( epred28_0
| hskp18
| hskp2 ),
inference(spm,[status(thm)],[c_0_133,c_0_37]) ).
cnf(c_0_204,negated_conjecture,
( epred42_0
| epred28_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_13]),c_0_80]) ).
cnf(c_0_205,negated_conjecture,
( epred46_0
| ~ hskp30
| ~ c1_1(a33) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_12]),c_0_80]) ).
cnf(c_0_206,negated_conjecture,
( epred23_0
| c1_1(a33)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_12]),c_0_80]) ).
cnf(c_0_207,negated_conjecture,
( c3_1(a10)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_208,negated_conjecture,
( c1_1(a10)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_209,negated_conjecture,
( c2_1(a10)
| ~ hskp27 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_210,negated_conjecture,
( c0_1(X1)
| hskp15
| hskp4
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_211,negated_conjecture,
( epred23_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_100]) ).
cnf(c_0_212,negated_conjecture,
( epred5_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
fof(c_0_213,plain,
( ~ epred22_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| hskp22
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_214,plain,
( ~ epred18_0
<=> ! [X2] :
( hskp0
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_215,negated_conjecture,
( epred40_0
| epred13_0
| hskp6
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_216,negated_conjecture,
( hskp11
| hskp20
| hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_217,negated_conjecture,
( epred37_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_92]),c_0_146]),c_0_147]) ).
cnf(c_0_218,negated_conjecture,
( epred13_0
| hskp6
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_219,negated_conjecture,
( epred41_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_9])]) ).
fof(c_0_220,plain,
( ~ epred29_0
<=> ! [X2] :
( c3_1(X2)
| hskp16
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_221,negated_conjecture,
( epred1_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_9])]) ).
cnf(c_0_222,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp6
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_223,negated_conjecture,
( hskp28
| hskp7
| hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_224,negated_conjecture,
( epred37_0
| epred13_0
| hskp6
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_225,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp22
| ~ ndr1_0
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_226,negated_conjecture,
( epred30_0
| epred26_0
| epred25_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_227,negated_conjecture,
( epred25_0
| hskp4
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_71,c_0_157]) ).
cnf(c_0_228,negated_conjecture,
( epred16_0
| hskp22
| c2_1(a19) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_158]),c_0_4]) ).
cnf(c_0_229,negated_conjecture,
( epred25_0
| epred17_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_42,c_0_159]) ).
cnf(c_0_230,negated_conjecture,
( hskp24
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_160]) ).
cnf(c_0_231,negated_conjecture,
( epred30_0
| epred24_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_232,negated_conjecture,
( epred45_0
| hskp9
| hskp1 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_233,negated_conjecture,
( epred45_0
| epred30_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_234,negated_conjecture,
( hskp5
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_167]) ).
cnf(c_0_235,negated_conjecture,
( epred45_0
| epred30_0
| epred9_0
| ~ epred3_0 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_236,negated_conjecture,
( epred36_0
| epred25_0
| epred9_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_170]) ).
cnf(c_0_237,negated_conjecture,
( epred45_0
| epred30_0
| epred9_0
| ~ epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_169]),c_0_172]) ).
cnf(c_0_238,negated_conjecture,
( epred14_0
| c2_1(a38)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_89]) ).
cnf(c_0_239,negated_conjecture,
( epred9_0
| ~ hskp24
| ~ c2_1(a58) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_66]),c_0_31]) ).
cnf(c_0_240,negated_conjecture,
( epred38_0
| c2_1(a58)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_175]),c_0_31]) ).
cnf(c_0_241,negated_conjecture,
( epred37_0
| epred12_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_92]) ).
cnf(c_0_242,negated_conjecture,
( epred39_0
| epred2_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_138]) ).
cnf(c_0_243,negated_conjecture,
( epred4_0
| hskp17
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_244,negated_conjecture,
( epred34_0
| hskp19
| ~ hskp3
| ~ c2_1(a4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).
cnf(c_0_245,negated_conjecture,
( epred2_0
| c2_1(a4)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_20]),c_0_186]) ).
cnf(c_0_246,negated_conjecture,
( epred10_0
| hskp3
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_9])]) ).
cnf(c_0_247,negated_conjecture,
( c2_1(a92)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_248,negated_conjecture,
( ~ c0_1(a92)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_249,negated_conjecture,
( ~ c3_1(a92)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_250,negated_conjecture,
( ~ c0_1(a26)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_251,negated_conjecture,
( ~ c3_1(a22)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_252,negated_conjecture,
( ~ c2_1(a22)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_253,negated_conjecture,
( epred46_0
| ~ hskp28
| ~ c2_1(a15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_106]),c_0_107]) ).
cnf(c_0_254,negated_conjecture,
( hskp18
| hskp14
| c2_1(a15)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_106]),c_0_107]) ).
cnf(c_0_255,negated_conjecture,
( epred47_0
| ~ hskp28
| ~ c2_1(a15) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_107]),c_0_108]) ).
cnf(c_0_256,negated_conjecture,
( epred35_0
| ~ hskp19
| ~ c0_1(a36) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_17]),c_0_181]) ).
cnf(c_0_257,negated_conjecture,
( epred8_0
| hskp1
| c0_1(a36)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_189]),c_0_182]) ).
cnf(c_0_258,negated_conjecture,
( epred2_0
| c0_1(a36)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_20]),c_0_182]) ).
cnf(c_0_259,negated_conjecture,
( hskp22
| hskp19
| ~ hskp18
| ~ c0_1(a34) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_18]),c_0_21]) ).
cnf(c_0_260,negated_conjecture,
( epred7_0
| epred2_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_261,negated_conjecture,
( epred27_0
| hskp10
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_137]),c_0_138]),c_0_177]) ).
cnf(c_0_262,negated_conjecture,
( epred34_0
| hskp19
| ~ hskp24
| ~ c2_1(a58) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_104]),c_0_29]) ).
cnf(c_0_263,negated_conjecture,
( epred19_0
| c2_1(a58)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_104]),c_0_29]) ).
cnf(c_0_264,negated_conjecture,
( c3_1(X1)
| hskp27
| hskp25
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_265,negated_conjecture,
( epred44_0
| c2_1(a15)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_107]),c_0_108]) ).
cnf(c_0_266,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp28
| hskp27
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_267,negated_conjecture,
( epred21_0
| hskp13
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_195]),c_0_9])]) ).
cnf(c_0_268,negated_conjecture,
( ~ c0_1(a22)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_269,negated_conjecture,
( epred39_0
| epred8_0
| hskp1
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_189]) ).
fof(c_0_270,plain,
( ~ epred6_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_271,negated_conjecture,
( c1_1(X1)
| hskp2
| hskp23
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_272,negated_conjecture,
( ~ c2_1(a2)
| ~ hskp1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_273,negated_conjecture,
( epred43_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_196]) ).
cnf(c_0_274,negated_conjecture,
( epred28_0
| epred19_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).
cnf(c_0_275,negated_conjecture,
( epred19_0
| hskp14
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_135]) ).
cnf(c_0_276,negated_conjecture,
( c1_1(X2)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_202]) ).
cnf(c_0_277,negated_conjecture,
( epred28_0
| epred19_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_135,c_0_203]) ).
cnf(c_0_278,negated_conjecture,
( epred42_0
| epred28_0
| hskp18
| hskp2 ),
inference(spm,[status(thm)],[c_0_204,c_0_37]) ).
cnf(c_0_279,negated_conjecture,
( epred42_0
| epred28_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_68]),c_0_67]) ).
cnf(c_0_280,negated_conjecture,
( epred46_0
| epred23_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_281,negated_conjecture,
( hskp30
| hskp27
| hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_282,negated_conjecture,
( epred46_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_207]),c_0_208]),c_0_209]) ).
cnf(c_0_283,negated_conjecture,
( epred14_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_137]),c_0_138]),c_0_177]) ).
cnf(c_0_284,negated_conjecture,
( hskp30
| hskp27
| hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_285,negated_conjecture,
( hskp15
| hskp4
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_9])]) ).
cnf(c_0_286,negated_conjecture,
( epred23_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_211]) ).
cnf(c_0_287,negated_conjecture,
( epred5_0
| ~ hskp19
| ~ c0_1(a36) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_212]),c_0_181]) ).
cnf(c_0_288,negated_conjecture,
( epred22_0
| hskp22
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_213]),c_0_9])]) ).
cnf(c_0_289,negated_conjecture,
( epred18_0
| c3_1(X1)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_214]),c_0_9])]) ).
cnf(c_0_290,negated_conjecture,
( epred40_0
| epred13_0
| hskp11
| hskp7
| hskp6 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_291,negated_conjecture,
( epred37_0
| epred13_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_292,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_293,negated_conjecture,
( c2_1(a1)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_294,negated_conjecture,
( ~ c0_1(a1)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_295,negated_conjecture,
( ~ c1_1(a31)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_296,negated_conjecture,
( epred41_0
| epred23_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_219]) ).
cnf(c_0_297,negated_conjecture,
( c2_1(a31)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_298,negated_conjecture,
( epred29_0
| hskp16
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_220]),c_0_9])]) ).
cnf(c_0_299,negated_conjecture,
( epred14_0
| epred1_0
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_173,c_0_221]) ).
cnf(c_0_300,negated_conjecture,
( hskp6
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_222]) ).
cnf(c_0_301,negated_conjecture,
( epred45_0
| hskp9
| hskp7 ),
inference(spm,[status(thm)],[c_0_163,c_0_223]) ).
cnf(c_0_302,negated_conjecture,
( epred37_0
| epred13_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_217,c_0_224]) ).
cnf(c_0_303,negated_conjecture,
( hskp22
| c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_225]) ).
cnf(c_0_304,negated_conjecture,
( epred30_0
| epred26_0
| epred25_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_305,negated_conjecture,
( epred25_0
| epred16_0
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_228]),c_0_4]) ).
cnf(c_0_306,negated_conjecture,
( epred25_0
| epred17_0
| hskp22 ),
inference(spm,[status(thm)],[c_0_229,c_0_4]) ).
cnf(c_0_307,negated_conjecture,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_230,c_0_63]),c_0_15]) ).
cnf(c_0_308,negated_conjecture,
( epred45_0
| epred30_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).
cnf(c_0_309,negated_conjecture,
( ~ epred26_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_234,c_0_32]),c_0_33]) ).
cnf(c_0_310,negated_conjecture,
( epred45_0
| epred30_0
| epred25_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]) ).
cnf(c_0_311,negated_conjecture,
( epred40_0
| epred14_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_143,c_0_238]) ).
fof(c_0_312,plain,
( ~ epred11_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp3
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_313,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_314,negated_conjecture,
( ~ c2_1(a52)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_315,negated_conjecture,
( epred38_0
| epred9_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_316,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp13
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_317,negated_conjecture,
( epred47_0
| epred9_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_188,c_0_66]) ).
cnf(c_0_318,negated_conjecture,
( epred37_0
| epred12_0
| c2_1(a58)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_241,c_0_31]) ).
cnf(c_0_319,negated_conjecture,
( epred39_0
| epred4_0
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_320,negated_conjecture,
( epred34_0
| epred2_0
| hskp19
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_321,negated_conjecture,
( epred10_0
| hskp3
| ~ hskp26 ),
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_322,negated_conjecture,
( hskp7
| hskp26
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_323,negated_conjecture,
( epred2_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_20]),c_0_199]),c_0_250]) ).
cnf(c_0_324,negated_conjecture,
( epred17_0
| ~ hskp13
| ~ c1_1(a22) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_102]),c_0_252]) ).
cnf(c_0_325,negated_conjecture,
( epred4_0
| hskp17
| c1_1(a22)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_180]),c_0_252]) ).
cnf(c_0_326,negated_conjecture,
( epred46_0
| hskp18
| hskp14
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_327,negated_conjecture,
( epred47_0
| hskp18
| hskp14
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_255,c_0_254]) ).
cnf(c_0_328,negated_conjecture,
( epred35_0
| epred8_0
| hskp1
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_329,negated_conjecture,
( epred34_0
| hskp19
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_56]),c_0_59]),c_0_57]) ).
cnf(c_0_330,negated_conjecture,
( epred35_0
| ~ hskp22
| ~ c0_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_17]),c_0_40]) ).
cnf(c_0_331,negated_conjecture,
( epred35_0
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_256,c_0_258]) ).
cnf(c_0_332,negated_conjecture,
( epred2_0
| hskp22
| hskp19
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_259,c_0_35]) ).
cnf(c_0_333,negated_conjecture,
( epred27_0
| epred7_0
| epred2_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_334,negated_conjecture,
( epred34_0
| epred19_0
| hskp19
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_335,negated_conjecture,
( hskp27
| hskp25
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_9])]) ).
fof(c_0_336,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_337,negated_conjecture,
( epred44_0
| ~ hskp9
| ~ c0_1(a12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_94]),c_0_93]) ).
cnf(c_0_338,negated_conjecture,
( epred1_0
| c0_1(a12)
| hskp0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_221]),c_0_93]) ).
cnf(c_0_339,negated_conjecture,
( epred46_0
| epred44_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_253,c_0_265]) ).
cnf(c_0_340,negated_conjecture,
( epred47_0
| epred44_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_255,c_0_265]) ).
cnf(c_0_341,negated_conjecture,
( hskp28
| hskp27
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_9])]) ).
cnf(c_0_342,negated_conjecture,
( epred42_0
| ~ hskp11
| ~ c2_1(a19) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_84]),c_0_27]) ).
cnf(c_0_343,negated_conjecture,
( epred21_0
| hskp13
| c2_1(a19)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_27]),c_0_25]) ).
cnf(c_0_344,negated_conjecture,
( epred13_0
| epred2_0
| hskp6
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_20]) ).
cnf(c_0_345,negated_conjecture,
( epred16_0
| hskp22
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_146]),c_0_147]),c_0_145]) ).
cnf(c_0_346,negated_conjecture,
( epred39_0
| epred8_0
| hskp1
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_252]) ).
cnf(c_0_347,negated_conjecture,
( epred6_0
| c3_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_270]),c_0_9])]) ).
cnf(c_0_348,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp12
| hskp13
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_349,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp2
| hskp4
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_350,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp0
| hskp21
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_351,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp5
| hskp0
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_352,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp1
| hskp13
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_353,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp6
| hskp7
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_354,negated_conjecture,
( hskp23
| hskp2
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_9])]) ).
cnf(c_0_355,negated_conjecture,
( c0_1(X1)
| hskp9
| hskp16
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_356,negated_conjecture,
( hskp18
| hskp14
| ~ hskp1
| ~ c1_1(a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_109]),c_0_272]) ).
cnf(c_0_357,negated_conjecture,
( epred19_0
| c1_1(a2)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_109]),c_0_272]) ).
cnf(c_0_358,negated_conjecture,
( epred28_0
| ~ hskp27
| ~ c0_1(a10) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_207]),c_0_209]) ).
cnf(c_0_359,negated_conjecture,
( epred43_0
| c0_1(a10)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_207]),c_0_209]) ).
cnf(c_0_360,negated_conjecture,
( epred28_0
| epred19_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_361,negated_conjecture,
( ~ epred43_0
| ~ epred42_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_276,c_0_51]),c_0_196]),c_0_33]) ).
cnf(c_0_362,negated_conjecture,
( epred28_0
| epred19_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_277]) ).
cnf(c_0_363,negated_conjecture,
( epred42_0
| epred28_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_278]),c_0_279]) ).
cnf(c_0_364,negated_conjecture,
( c3_1(a64)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_365,negated_conjecture,
( c1_1(a64)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_366,negated_conjecture,
( ~ c2_1(a64)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_367,negated_conjecture,
( epred46_0
| epred23_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).
cnf(c_0_368,negated_conjecture,
( epred14_0
| hskp30
| hskp27 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_369,negated_conjecture,
( epred12_0
| c2_1(a15)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_106]),c_0_108]) ).
cnf(c_0_370,negated_conjecture,
( c1_1(a27)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_371,negated_conjecture,
( c0_1(a27)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_372,negated_conjecture,
( ~ c2_1(a27)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_373,negated_conjecture,
( epred23_0
| hskp15
| c0_1(X1)
| ~ c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_141]) ).
cnf(c_0_374,negated_conjecture,
( epred5_0
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_287,c_0_258]) ).
cnf(c_0_375,negated_conjecture,
( epred5_0
| ~ hskp22
| ~ c0_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_212]),c_0_40]) ).
cnf(c_0_376,negated_conjecture,
( epred22_0
| hskp22
| c1_1(a2)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_109]),c_0_272]) ).
cnf(c_0_377,negated_conjecture,
( epred18_0
| hskp0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_27]),c_0_103]),c_0_25]) ).
cnf(c_0_378,negated_conjecture,
( epred40_0
| epred37_0
| epred13_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_290]),c_0_291]) ).
cnf(c_0_379,negated_conjecture,
( epred40_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_292]),c_0_293]),c_0_294]) ).
cnf(c_0_380,negated_conjecture,
( epred41_0
| epred23_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).
cnf(c_0_381,negated_conjecture,
( epred29_0
| hskp16
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_27]),c_0_103]),c_0_25]) ).
cnf(c_0_382,negated_conjecture,
( ~ c0_1(a31)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_383,negated_conjecture,
( epred14_0
| epred1_0
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_299]),c_0_149]) ).
cnf(c_0_384,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_300,c_0_54]),c_0_118]) ).
cnf(c_0_385,negated_conjecture,
( epred45_0
| epred37_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_301]),c_0_302]) ).
cnf(c_0_386,negated_conjecture,
( ~ epred17_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_303,c_0_61]),c_0_62]) ).
cnf(c_0_387,negated_conjecture,
( epred30_0
| epred26_0
| epred25_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_388,negated_conjecture,
( epred30_0
| epred26_0
| epred25_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_306]) ).
cnf(c_0_389,negated_conjecture,
( epred45_0
| epred30_0
| ~ epred25_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_390,negated_conjecture,
( epred45_0
| epred30_0
| epred25_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_391,negated_conjecture,
( epred22_0
| hskp22
| c2_1(a58)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_104]),c_0_29]) ).
cnf(c_0_392,negated_conjecture,
( epred47_0
| ~ hskp11
| ~ c2_1(a19) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_103]),c_0_27]) ).
cnf(c_0_393,negated_conjecture,
( epred40_0
| epred14_0
| hskp11
| hskp7 ),
inference(spm,[status(thm)],[c_0_311,c_0_216]) ).
cnf(c_0_394,negated_conjecture,
( epred11_0
| hskp3
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_312]),c_0_9])]) ).
cnf(c_0_395,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_313]) ).
cnf(c_0_396,negated_conjecture,
( epred38_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_175]),c_0_45]),c_0_314]) ).
cnf(c_0_397,negated_conjecture,
( epred38_0
| epred9_0
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_47]),c_0_112]) ).
cnf(c_0_398,negated_conjecture,
( hskp13
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[c_0_316]) ).
cnf(c_0_399,negated_conjecture,
( epred47_0
| epred9_0
| ~ hskp11
| ~ c2_1(a19) ),
inference(spm,[status(thm)],[c_0_317,c_0_27]) ).
cnf(c_0_400,negated_conjecture,
( ~ c1_1(a21)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_401,negated_conjecture,
( c0_1(a21)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_402,negated_conjecture,
( ~ c3_1(a21)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_403,negated_conjecture,
( epred12_0
| c2_1(a58)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_104]),c_0_31]) ).
cnf(c_0_404,negated_conjecture,
( epred37_0
| epred12_0
| epred9_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_318]) ).
cnf(c_0_405,negated_conjecture,
( epred37_0
| epred12_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_45]),c_0_314]) ).
cnf(c_0_406,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_407,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_408,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_409,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_410,negated_conjecture,
( c1_1(X1)
| hskp19
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_411,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| hskp16
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_412,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_413,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| hskp22
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_414,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| hskp0
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_415,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c2_1(X2)
| hskp3
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_416,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_417,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c1_1(X2)
| hskp1
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_418,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp0
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_419,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp17
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_420,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp0
| ~ ndr1_0
| ~ ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_421,negated_conjecture,
( epred39_0
| epred34_0
| epred4_0
| epred2_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_319,c_0_320]) ).
cnf(c_0_422,negated_conjecture,
( epred10_0
| hskp18
| hskp7
| hskp3 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_423,negated_conjecture,
( epred19_0
| epred2_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_323,c_0_275]) ).
cnf(c_0_424,negated_conjecture,
( epred17_0
| epred4_0
| hskp17
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_425,negated_conjecture,
( epred46_0
| epred2_0
| hskp18
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_323,c_0_326]) ).
cnf(c_0_426,negated_conjecture,
( epred47_0
| epred2_0
| hskp18
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_323,c_0_327]) ).
cnf(c_0_427,negated_conjecture,
( epred35_0
| epred34_0
| epred8_0
| hskp1
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_428,negated_conjecture,
( epred35_0
| hskp4
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_330,c_0_157]) ).
cnf(c_0_429,negated_conjecture,
( epred35_0
| epred2_0
| hskp22
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_430,negated_conjecture,
( epred46_0
| epred23_0
| hskp18
| hskp2 ),
inference(spm,[status(thm)],[c_0_280,c_0_37]) ).
cnf(c_0_431,negated_conjecture,
( epred27_0
| epred7_0
| epred4_0
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_333,c_0_243]) ).
cnf(c_0_432,negated_conjecture,
( epred34_0
| epred24_0
| epred19_0
| hskp19
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_334,c_0_162]) ).
cnf(c_0_433,negated_conjecture,
( epred8_0
| epred5_0
| hskp1
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_287,c_0_257]) ).
cnf(c_0_434,negated_conjecture,
( hskp27
| hskp25
| c3_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_293]),c_0_292]) ).
cnf(c_0_435,negated_conjecture,
( epred32_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_336]) ).
cnf(c_0_436,negated_conjecture,
( epred44_0
| epred1_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_437,negated_conjecture,
( epred46_0
| epred44_0
| hskp9
| hskp1 ),
inference(spm,[status(thm)],[c_0_339,c_0_164]) ).
cnf(c_0_438,negated_conjecture,
( epred47_0
| epred44_0
| hskp9
| hskp1 ),
inference(spm,[status(thm)],[c_0_340,c_0_164]) ).
cnf(c_0_439,negated_conjecture,
( epred2_0
| hskp28
| hskp27
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_20]) ).
cnf(c_0_440,negated_conjecture,
( epred1_0
| hskp0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_221]),c_0_252]),c_0_268]) ).
cnf(c_0_441,negated_conjecture,
( epred42_0
| epred21_0
| hskp13
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_442,negated_conjecture,
( epred35_0
| epred34_0
| hskp19
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_17]) ).
cnf(c_0_443,negated_conjecture,
( epred43_0
| c0_1(a5)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_56]),c_0_59]) ).
cnf(c_0_444,negated_conjecture,
( epred16_0
| epred13_0
| epred2_0
| hskp22
| c3_1(X1)
| c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_344]),c_0_345]) ).
cnf(c_0_445,negated_conjecture,
( epred39_0
| epred21_0
| epred8_0
| c3_1(X1)
| hskp1
| c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_269]),c_0_346]) ).
cnf(c_0_446,negated_conjecture,
( epred17_0
| hskp18
| hskp14
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_102]) ).
cnf(c_0_447,negated_conjecture,
( epred18_0
| hskp0
| ~ hskp5
| ~ c1_1(a6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_97]),c_0_95]) ).
cnf(c_0_448,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a52)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_45]),c_0_314]) ).
cnf(c_0_449,negated_conjecture,
( epred6_0
| epred2_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_347,c_0_20]) ).
cnf(c_0_450,negated_conjecture,
( hskp13
| hskp12
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_9])]) ).
cnf(c_0_451,negated_conjecture,
( epred6_0
| c3_1(a9)
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_148]),c_0_150]) ).
cnf(c_0_452,negated_conjecture,
( epred6_0
| c0_1(a12)
| hskp0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_94]),c_0_91]) ).
cnf(c_0_453,negated_conjecture,
( epred43_0
| hskp4
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_273,c_0_100]) ).
cnf(c_0_454,negated_conjecture,
( hskp4
| hskp2
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_9])]) ).
cnf(c_0_455,negated_conjecture,
( hskp4
| c0_1(a36)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_100]),c_0_181]) ).
cnf(c_0_456,negated_conjecture,
( epred39_0
| c0_1(a12)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_94]),c_0_93]) ).
cnf(c_0_457,negated_conjecture,
( epred19_0
| epred1_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_81,c_0_221]) ).
cnf(c_0_458,negated_conjecture,
( epred19_0
| epred5_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_212]) ).
cnf(c_0_459,negated_conjecture,
( epred3_0
| hskp2
| c3_1(a52)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_314]) ).
cnf(c_0_460,negated_conjecture,
( hskp21
| c2_1(X1)
| c1_1(X1)
| hskp0
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_9])]) ).
cnf(c_0_461,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| hskp0
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_9])]) ).
cnf(c_0_462,negated_conjecture,
( hskp13
| hskp1
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_9])]) ).
cnf(c_0_463,negated_conjecture,
( hskp7
| hskp6
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_9])]) ).
cnf(c_0_464,negated_conjecture,
( epred41_0
| hskp23
| hskp2
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_354,c_0_219]) ).
cnf(c_0_465,negated_conjecture,
( hskp16
| hskp9
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_9])]) ).
cnf(c_0_466,negated_conjecture,
( c3_1(a42)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_467,negated_conjecture,
( epred19_0
| hskp14
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_135]) ).
cnf(c_0_468,negated_conjecture,
( epred43_0
| epred28_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_469,negated_conjecture,
( epred28_0
| epred19_0
| hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_284]),c_0_133]) ).
cnf(c_0_470,negated_conjecture,
( epred28_0
| epred19_0
| ~ epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]) ).
cnf(c_0_471,negated_conjecture,
( epred8_0
| hskp1
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_189]),c_0_199]),c_0_250]) ).
cnf(c_0_472,negated_conjecture,
( hskp18
| hskp14
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_364]),c_0_365]),c_0_366]) ).
cnf(c_0_473,negated_conjecture,
( epred46_0
| epred37_0
| epred23_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_291,c_0_367]) ).
cnf(c_0_474,negated_conjecture,
( epred46_0
| epred23_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_368]),c_0_282]) ).
cnf(c_0_475,negated_conjecture,
( epred46_0
| epred12_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_253,c_0_369]) ).
cnf(c_0_476,negated_conjecture,
( epred12_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_109]),c_0_110]),c_0_272]) ).
cnf(c_0_477,negated_conjecture,
( epred44_0
| c2_1(a19)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_103]),c_0_27]) ).
cnf(c_0_478,negated_conjecture,
( epred44_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_370]),c_0_371]),c_0_372]) ).
cnf(c_0_479,negated_conjecture,
( epred23_0
| hskp15
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_293]),c_0_294]) ).
cnf(c_0_480,negated_conjecture,
( epred35_0
| epred34_0
| epred2_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_331,c_0_329]) ).
cnf(c_0_481,negated_conjecture,
( epred34_0
| epred5_0
| epred2_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_374,c_0_329]) ).
cnf(c_0_482,negated_conjecture,
( epred5_0
| hskp4
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_375,c_0_157]) ).
cnf(c_0_483,negated_conjecture,
( epred41_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_219]),c_0_39]),c_0_40]) ).
cnf(c_0_484,negated_conjecture,
( epred45_0
| epred22_0
| hskp22
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_165,c_0_376]) ).
cnf(c_0_485,negated_conjecture,
( epred40_0
| epred37_0
| epred18_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]) ).
cnf(c_0_486,negated_conjecture,
( epred41_0
| epred29_0
| epred23_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_487,negated_conjecture,
( epred41_0
| epred23_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_296]),c_0_39]) ).
cnf(c_0_488,negated_conjecture,
( epred36_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_41]),c_0_297]),c_0_382]) ).
cnf(c_0_489,negated_conjecture,
( epred37_0
| epred1_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_153,c_0_338]) ).
cnf(c_0_490,negated_conjecture,
( epred45_0
| epred14_0
| epred1_0
| hskp9
| hskp0 ),
inference(spm,[status(thm)],[c_0_383,c_0_301]) ).
cnf(c_0_491,negated_conjecture,
( epred45_0
| epred37_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_492,negated_conjecture,
( epred30_0
| epred26_0
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_387]),c_0_388]) ).
cnf(c_0_493,negated_conjecture,
( epred45_0
| epred30_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_494,negated_conjecture,
( epred22_0
| epred9_0
| hskp22
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_391]) ).
cnf(c_0_495,negated_conjecture,
( epred19_0
| epred9_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_263]) ).
cnf(c_0_496,negated_conjecture,
( epred47_0
| epred21_0
| hskp13
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_392,c_0_343]) ).
cnf(c_0_497,negated_conjecture,
( epred40_0
| epred18_0
| epred14_0
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_393]),c_0_379]) ).
cnf(c_0_498,negated_conjecture,
( epred9_0
| ~ hskp22
| ~ c0_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_66]),c_0_39]) ).
cnf(c_0_499,negated_conjecture,
( epred11_0
| hskp3
| c0_1(a43)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_394]),c_0_40]) ).
cnf(c_0_500,negated_conjecture,
( epred12_0
| ~ hskp18
| ~ c0_1(a34) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_18]),c_0_21]) ).
cnf(c_0_501,negated_conjecture,
( epred8_0
| hskp1
| c0_1(a34)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_189]),c_0_21]) ).
cnf(c_0_502,negated_conjecture,
( epred47_0
| epred12_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_255,c_0_369]) ).
cnf(c_0_503,negated_conjecture,
( epred45_0
| ~ hskp25
| ~ c0_1(a64) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_364]),c_0_365]) ).
cnf(c_0_504,negated_conjecture,
( epred14_0
| c0_1(a64)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_364]),c_0_366]) ).
cnf(c_0_505,negated_conjecture,
( epred45_0
| ~ hskp27
| ~ c0_1(a10) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_207]),c_0_208]) ).
cnf(c_0_506,negated_conjecture,
( epred17_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_102]),c_0_94]),c_0_93]) ).
cnf(c_0_507,negated_conjecture,
( c2_1(a42)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_508,negated_conjecture,
( ~ c0_1(a42)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_509,negated_conjecture,
( ~ epred45_0
| ~ epred44_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_395,c_0_132]),c_0_33]),c_0_6]) ).
cnf(c_0_510,negated_conjecture,
( epred38_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_511,negated_conjecture,
( ~ epred21_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_398,c_0_195]),c_0_33]) ).
cnf(c_0_512,negated_conjecture,
( epred47_0
| epred9_0
| epred3_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_43]),c_0_112]) ).
cnf(c_0_513,negated_conjecture,
( epred9_0
| ~ hskp12
| ~ c2_1(a21) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_66]),c_0_401]) ).
cnf(c_0_514,negated_conjecture,
( epred3_0
| hskp2
| c2_1(a21)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_401]),c_0_402]) ).
cnf(c_0_515,negated_conjecture,
( epred12_0
| epred9_0
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_239,c_0_403]) ).
cnf(c_0_516,negated_conjecture,
( epred37_0
| epred12_0
| epred9_0
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_47]),c_0_405]) ).
cnf(c_0_517,negated_conjecture,
( epred44_0
| epred38_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_175]) ).
cnf(c_0_518,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_406]) ).
cnf(c_0_519,negated_conjecture,
( c1_1(X2)
| c2_1(X3)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_407]) ).
cnf(c_0_520,negated_conjecture,
( c1_1(X3)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X3) ),
inference(cn,[status(thm)],[c_0_408]) ).
cnf(c_0_521,negated_conjecture,
( c1_1(X2)
| c1_1(X1)
| c2_1(X3)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_409]) ).
cnf(c_0_522,negated_conjecture,
( hskp19
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_410]) ).
cnf(c_0_523,negated_conjecture,
( hskp16
| c1_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_411]) ).
cnf(c_0_524,negated_conjecture,
( hskp10
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_412]) ).
cnf(c_0_525,negated_conjecture,
( hskp22
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_413]) ).
cnf(c_0_526,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_414]) ).
cnf(c_0_527,negated_conjecture,
( hskp3
| c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_415]) ).
cnf(c_0_528,negated_conjecture,
( hskp3
| c1_1(X2)
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_416]) ).
cnf(c_0_529,negated_conjecture,
( hskp1
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_417]) ).
cnf(c_0_530,negated_conjecture,
( hskp0
| c1_1(X2)
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_418]) ).
cnf(c_0_531,negated_conjecture,
( hskp17
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[c_0_419]) ).
cnf(c_0_532,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0 ),
inference(cn,[status(thm)],[c_0_420]) ).
cnf(c_0_533,negated_conjecture,
( epred39_0
| epred34_0
| epred4_0
| epred2_0
| epred10_0
| hskp18
| hskp7 ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_534,negated_conjecture,
( epred19_0
| epred2_0
| epred17_0
| epred4_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_535,negated_conjecture,
( epred46_0
| epred2_0
| hskp18
| hskp9
| hskp1 ),
inference(spm,[status(thm)],[c_0_425,c_0_164]) ).
cnf(c_0_536,negated_conjecture,
( epred47_0
| epred2_0
| hskp18
| hskp9
| hskp1 ),
inference(spm,[status(thm)],[c_0_426,c_0_164]) ).
cnf(c_0_537,negated_conjecture,
( epred35_0
| epred34_0
| epred8_0
| hskp1
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_538,negated_conjecture,
( epred35_0
| epred2_0
| hskp22
| epred46_0
| epred23_0
| hskp2 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_539,negated_conjecture,
( epred27_0
| epred7_0
| epred4_0
| epred2_0
| epred34_0
| epred24_0
| epred19_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_540,negated_conjecture,
( epred8_0
| epred5_0
| hskp1
| epred34_0
| epred24_0
| epred19_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_433,c_0_432]) ).
cnf(c_0_541,negated_conjecture,
( epred43_0
| c0_1(a1)
| hskp27
| hskp25
| ~ c2_1(a1)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_273,c_0_434]) ).
cnf(c_0_542,negated_conjecture,
( epred32_0
| hskp27
| hskp25
| ~ c2_1(a1)
| ~ c1_1(a1)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_435,c_0_434]) ).
cnf(c_0_543,negated_conjecture,
( epred44_0
| epred1_0
| hskp0
| epred46_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_544,negated_conjecture,
( epred44_0
| epred1_0
| hskp0
| epred47_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_436,c_0_438]) ).
cnf(c_0_545,negated_conjecture,
( epred44_0
| epred2_0
| hskp28
| hskp27
| c2_1(a12)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_337,c_0_439]) ).
cnf(c_0_546,negated_conjecture,
( epred1_0
| hskp0
| epred42_0
| epred21_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_547,negated_conjecture,
( epred35_0
| epred34_0
| hskp19
| c1_1(a5)
| epred43_0
| ~ c2_1(a5)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_548,negated_conjecture,
( epred16_0
| epred13_0
| epred2_0
| hskp22
| c2_1(a12)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_91,c_0_444]) ).
cnf(c_0_549,negated_conjecture,
( epred39_0
| epred21_0
| epred8_0
| hskp1
| c2_1(a22)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_251,c_0_445]) ).
cnf(c_0_550,negated_conjecture,
( epred17_0
| hskp18
| hskp14
| c2_1(a2)
| epred22_0
| hskp22
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_446,c_0_376]) ).
cnf(c_0_551,negated_conjecture,
( epred44_0
| c2_1(a2)
| epred22_0
| hskp22
| ~ c0_1(a2)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_194,c_0_376]) ).
cnf(c_0_552,negated_conjecture,
( hskp27
| hskp25
| c3_1(a19)
| epred21_0
| hskp13
| ~ c1_1(a19)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_335,c_0_343]) ).
cnf(c_0_553,negated_conjecture,
( epred18_0
| hskp0
| epred9_0
| ~ hskp5
| ~ c0_1(a6)
| ~ c2_1(a6) ),
inference(spm,[status(thm)],[c_0_447,c_0_66]) ).
cnf(c_0_554,negated_conjecture,
( hskp27
| hskp25
| c3_1(a19)
| epred16_0
| hskp22
| ~ c1_1(a19) ),
inference(spm,[status(thm)],[c_0_335,c_0_228]) ).
cnf(c_0_555,negated_conjecture,
( epred19_0
| c2_1(a52)
| c1_1(a52)
| epred16_0
| hskp22
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_81,c_0_448]) ).
cnf(c_0_556,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a12)
| c2_1(a12)
| epred13_0
| hskp6
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_101,c_0_154]) ).
cnf(c_0_557,negated_conjecture,
( epred6_0
| epred2_0
| c0_1(a22)
| c2_1(a22)
| hskp0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_251,c_0_449]) ).
cnf(c_0_558,negated_conjecture,
( hskp13
| hskp12
| c0_1(a9)
| c2_1(a9)
| epred6_0
| hskp0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_559,negated_conjecture,
( epred21_0
| hskp13
| c3_1(a12)
| c2_1(a12)
| epred6_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_267,c_0_452]) ).
cnf(c_0_560,negated_conjecture,
( epred18_0
| c3_1(a12)
| hskp0
| epred6_0
| ~ c1_1(a12)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_289,c_0_452]) ).
cnf(c_0_561,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a12)
| c2_1(a12)
| epred6_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_101,c_0_452]) ).
cnf(c_0_562,negated_conjecture,
( epred43_0
| hskp4
| c0_1(a31)
| c1_1(a31)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_453,c_0_297]) ).
cnf(c_0_563,negated_conjecture,
( hskp4
| hskp2
| c3_1(a36)
| c2_1(a36)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_564,negated_conjecture,
( epred45_0
| epred38_0
| c2_1(a2)
| ~ hskp1
| ~ c0_1(a2) ),
inference(spm,[status(thm)],[c_0_165,c_0_175]) ).
cnf(c_0_565,negated_conjecture,
( epred21_0
| hskp13
| c3_1(a12)
| c2_1(a12)
| epred39_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_267,c_0_456]) ).
cnf(c_0_566,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a12)
| c2_1(a12)
| epred39_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_101,c_0_456]) ).
cnf(c_0_567,negated_conjecture,
( epred23_0
| c0_1(a31)
| ~ hskp16
| ~ c2_1(a31) ),
inference(spm,[status(thm)],[c_0_295,c_0_286]) ).
cnf(c_0_568,negated_conjecture,
( epred19_0
| epred1_0
| c0_1(a26)
| c2_1(a26)
| hskp0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_197,c_0_457]) ).
cnf(c_0_569,negated_conjecture,
( epred19_0
| epred5_0
| c2_1(a52)
| ~ hskp23
| ~ c0_1(a52) ),
inference(spm,[status(thm)],[c_0_44,c_0_458]) ).
cnf(c_0_570,negated_conjecture,
( epred44_0
| c2_1(a2)
| epred19_0
| ~ c0_1(a2)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_194,c_0_357]) ).
cnf(c_0_571,negated_conjecture,
( hskp22
| hskp19
| c2_1(a52)
| epred3_0
| hskp2
| ~ c0_1(a52)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_190,c_0_459]) ).
cnf(c_0_572,negated_conjecture,
( epred22_0
| hskp22
| c2_1(a52)
| c1_1(a52)
| epred3_0
| hskp2
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_288,c_0_459]) ).
cnf(c_0_573,negated_conjecture,
( epred19_0
| c2_1(a52)
| c1_1(a52)
| epred3_0
| hskp2
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_81,c_0_459]) ).
cnf(c_0_574,negated_conjecture,
( epred21_0
| hskp13
| c3_1(a12)
| c2_1(a12)
| epred1_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_267,c_0_338]) ).
cnf(c_0_575,negated_conjecture,
( hskp21
| c2_1(a34)
| c1_1(a34)
| hskp0
| epred2_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_460,c_0_35]) ).
cnf(c_0_576,negated_conjecture,
( epred16_0
| hskp22
| c3_1(a36)
| c2_1(a36)
| epred2_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_101,c_0_258]) ).
cnf(c_0_577,negated_conjecture,
( hskp5
| c0_1(a31)
| c1_1(a31)
| hskp0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_461,c_0_297]) ).
cnf(c_0_578,negated_conjecture,
( hskp5
| c0_1(a43)
| c1_1(a43)
| hskp0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_461,c_0_39]) ).
cnf(c_0_579,negated_conjecture,
( hskp21
| c2_1(a2)
| c1_1(a2)
| hskp0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_460,c_0_110]) ).
cnf(c_0_580,negated_conjecture,
( hskp13
| hskp1
| c2_1(a52)
| c1_1(a52)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_462,c_0_45]) ).
cnf(c_0_581,negated_conjecture,
( hskp7
| hskp6
| c0_1(a4)
| c1_1(a4)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_463,c_0_184]) ).
cnf(c_0_582,negated_conjecture,
( epred41_0
| hskp23
| hskp2
| c1_1(a5)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_464,c_0_59]) ).
cnf(c_0_583,negated_conjecture,
( hskp23
| hskp2
| c1_1(a5)
| ~ c2_1(a5)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_354,c_0_56]) ).
cnf(c_0_584,negated_conjecture,
( hskp16
| hskp9
| c0_1(a42)
| ~ c2_1(a42)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_585,negated_conjecture,
( epred19_0
| epred2_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_323,c_0_467]) ).
cnf(c_0_586,negated_conjecture,
( epred28_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_469]),c_0_470]) ).
cnf(c_0_587,negated_conjecture,
( epred8_0
| hskp18
| hskp1
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_588,negated_conjecture,
( epred2_0
| hskp18
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_323,c_0_472]) ).
cnf(c_0_589,negated_conjecture,
( hskp22
| hskp19
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_109]),c_0_110]),c_0_272]) ).
cnf(c_0_590,negated_conjecture,
( epred46_0
| epred37_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_473]),c_0_474]) ).
cnf(c_0_591,negated_conjecture,
( epred46_0
| epred12_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_164]),c_0_476]) ).
cnf(c_0_592,negated_conjecture,
( epred44_0
| epred6_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_337,c_0_452]) ).
cnf(c_0_593,negated_conjecture,
( epred44_0
| epred42_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_342,c_0_477]) ).
cnf(c_0_594,negated_conjecture,
( epred47_0
| epred44_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_392,c_0_477]) ).
cnf(c_0_595,negated_conjecture,
( epred44_0
| epred23_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_478,c_0_479]) ).
cnf(c_0_596,negated_conjecture,
( epred42_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_84]),c_0_96]),c_0_97]) ).
cnf(c_0_597,negated_conjecture,
( epred42_0
| epred16_0
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_228]),c_0_4]) ).
cnf(c_0_598,negated_conjecture,
( epred35_0
| epred34_0
| epred2_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_480,c_0_428]) ).
cnf(c_0_599,negated_conjecture,
( epred34_0
| epred5_0
| epred2_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_600,negated_conjecture,
( epred45_0
| epred41_0
| epred22_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_483,c_0_484]) ).
cnf(c_0_601,negated_conjecture,
( epred40_0
| epred37_0
| epred18_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_485]) ).
cnf(c_0_602,negated_conjecture,
( epred41_0
| epred29_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_4]),c_0_487]) ).
cnf(c_0_603,negated_conjecture,
( epred36_0
| epred29_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_488,c_0_381]) ).
cnf(c_0_604,negated_conjecture,
( epred45_0
| epred37_0
| epred1_0
| hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]) ).
cnf(c_0_605,negated_conjecture,
( epred37_0
| epred6_0
| hskp0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_153,c_0_452]) ).
cnf(c_0_606,negated_conjecture,
( epred45_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_492]),c_0_493]) ).
cnf(c_0_607,negated_conjecture,
( epred24_0
| epred22_0
| epred9_0
| hskp22
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_494,c_0_162]) ).
cnf(c_0_608,negated_conjecture,
( epred24_0
| epred19_0
| epred9_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_495,c_0_162]) ).
cnf(c_0_609,negated_conjecture,
( epred22_0
| epred9_0
| hskp23
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_47]),c_0_112]) ).
cnf(c_0_610,negated_conjecture,
( epred22_0
| hskp22
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_18]),c_0_19]),c_0_21]) ).
cnf(c_0_611,negated_conjecture,
( epred47_0
| epred21_0
| epred1_0
| hskp0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_440,c_0_496]) ).
cnf(c_0_612,negated_conjecture,
( epred40_0
| epred18_0
| epred14_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_497]),c_0_379]) ).
cnf(c_0_613,negated_conjecture,
( epred47_0
| epred16_0
| hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_228]),c_0_4]) ).
cnf(c_0_614,negated_conjecture,
( epred11_0
| epred9_0
| hskp3
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_615,negated_conjecture,
( epred12_0
| epred8_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_476]) ).
cnf(c_0_616,negated_conjecture,
( epred9_0
| hskp4
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_498,c_0_157]) ).
cnf(c_0_617,negated_conjecture,
( epred47_0
| epred12_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_164]),c_0_476]) ).
cnf(c_0_618,negated_conjecture,
( epred45_0
| epred19_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_165,c_0_357]) ).
cnf(c_0_619,negated_conjecture,
( epred45_0
| epred14_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_620,negated_conjecture,
( epred45_0
| epred43_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_505,c_0_359]) ).
cnf(c_0_621,negated_conjecture,
( epred45_0
| epred17_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_506,c_0_232]) ).
cnf(c_0_622,negated_conjecture,
( epred43_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_466]),c_0_507]),c_0_508]) ).
cnf(c_0_623,negated_conjecture,
( epred39_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_624,negated_conjecture,
( epred38_0
| ~ epred45_0
| ~ epred44_0 ),
inference(spm,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_625,negated_conjecture,
( epred38_0
| ~ epred21_0 ),
inference(spm,[status(thm)],[c_0_511,c_0_510]) ).
cnf(c_0_626,negated_conjecture,
( epred32_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_207]),c_0_208]),c_0_209]) ).
cnf(c_0_627,negated_conjecture,
( epred47_0
| epred9_0
| epred3_0
| hskp22 ),
inference(spm,[status(thm)],[c_0_512,c_0_4]) ).
cnf(c_0_628,negated_conjecture,
( epred9_0
| epred3_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_112]) ).
cnf(c_0_629,negated_conjecture,
( epred19_0
| epred9_0
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_47]),c_0_112]) ).
cnf(c_0_630,negated_conjecture,
( epred12_0
| epred2_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_500,c_0_35]) ).
cnf(c_0_631,negated_conjecture,
( epred12_0
| epred9_0
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_47]),c_0_112]) ).
cnf(c_0_632,negated_conjecture,
( epred37_0
| epred12_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_516]) ).
cnf(c_0_633,negated_conjecture,
( epred7_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_128]),c_0_39]),c_0_40]) ).
cnf(c_0_634,negated_conjecture,
( epred44_0
| epred38_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_110]),c_0_272]) ).
cnf(c_0_635,negated_conjecture,
( epred41_0
| epred23_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_296]),c_0_67]) ).
cnf(c_0_636,negated_conjecture,
( ~ epred47_0
| ~ epred46_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_518,c_0_85]),c_0_6]),c_0_124]) ).
cnf(c_0_637,negated_conjecture,
( ~ epred41_0
| ~ epred40_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_519,c_0_151]),c_0_53]),c_0_120]) ).
cnf(c_0_638,negated_conjecture,
( ~ epred40_0
| ~ epred39_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_520,c_0_8]),c_0_77]),c_0_53]) ).
cnf(c_0_639,negated_conjecture,
( ~ epred38_0
| ~ epred37_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_521,c_0_55]),c_0_10]),c_0_119]) ).
cnf(c_0_640,negated_conjecture,
( ~ epred34_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_522,c_0_123]),c_0_336]) ).
cnf(c_0_641,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_523,c_0_220]),c_0_7]) ).
cnf(c_0_642,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_524,c_0_131]),c_0_48]) ).
cnf(c_0_643,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_525,c_0_213]),c_0_52]) ).
cnf(c_0_644,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_526,c_0_214]),c_0_49]) ).
cnf(c_0_645,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_527,c_0_312]),c_0_120]) ).
cnf(c_0_646,negated_conjecture,
( ~ epred10_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_528,c_0_187]),c_0_142]) ).
cnf(c_0_647,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_529,c_0_125]),c_0_33]) ).
cnf(c_0_648,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_530,c_0_270]),c_0_78]) ).
cnf(c_0_649,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_531,c_0_122]),c_0_142]) ).
cnf(c_0_650,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_532,c_0_152]),c_0_10]) ).
cnf(c_0_651,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_467,c_0_356,c_0_586,c_0_587,c_0_588,c_0_472,c_0_425,c_0_589,c_0_590,c_0_591,c_0_282,c_0_339,c_0_592,c_0_593,c_0_594,c_0_595,c_0_340,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_483,c_0_601,c_0_602,c_0_603,c_0_381,c_0_604,c_0_217,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_377,c_0_613,c_0_305,c_0_345,c_0_328,c_0_614,c_0_471,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_232,c_0_622,c_0_379,c_0_623,c_0_624,c_0_625,c_0_510,c_0_626,c_0_69,c_0_155,c_0_141,c_0_627,c_0_135,c_0_628,c_0_629,c_0_506,c_0_476,c_0_630,c_0_631,c_0_632,c_0_112,c_0_498,c_0_440,c_0_633,c_0_323,c_0_634,c_0_635,c_0_636,c_0_509,c_0_361,c_0_637,c_0_638,c_0_639,c_0_171,c_0_640,c_0_641,c_0_642,c_0_307,c_0_643,c_0_511,c_0_644,c_0_386,c_0_384,c_0_645,c_0_646,c_0_647,c_0_648,c_0_649,c_0_168,c_0_650,c_0_314,c_0_44,c_0_40,c_0_508,c_0_179,c_0_182,c_0_21,c_0_19,c_0_382,c_0_295,c_0_250,c_0_199,c_0_268,c_0_252,c_0_25,c_0_91,c_0_93,c_0_150,c_0_149,c_0_57,c_0_186,c_0_185,c_0_272,c_0_294,c_0_45,c_0_97,c_0_110,c_0_507,c_0_297,c_0_96,c_0_59,c_0_293,c_0_103,c_0_94,c_0_292,c_0_164,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SYN443+1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n022.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 2400
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Oct 2 18:19:39 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.9BrBQT2JWj/E---3.1_2778.p
% 184.33/300.03 # Version: 3.1pre001
% 184.33/300.03 # Preprocessing class: FSLSSLSMSSSNFFN.
% 184.33/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 184.33/300.03 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 184.33/300.03 # Starting new_bool_3 with 300s (1) cores
% 184.33/300.03 # Starting new_bool_1 with 300s (1) cores
% 184.33/300.03 # Starting sh5l with 300s (1) cores
% 184.33/300.03 # sh5l with pid 2911 completed with status 0
% 184.33/300.03 # Result found by sh5l
% 184.33/300.03 # Preprocessing class: FSLSSLSMSSSNFFN.
% 184.33/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 184.33/300.03 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 184.33/300.03 # Starting new_bool_3 with 300s (1) cores
% 184.33/300.03 # Starting new_bool_1 with 300s (1) cores
% 184.33/300.03 # Starting sh5l with 300s (1) cores
% 184.33/300.03 # SinE strategy is gf500_gu_R04_F100_L20000
% 184.33/300.03 # Search class: FGHNF-FSMM00-SFFFFFNN
% 184.33/300.03 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 184.33/300.03 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 184.33/300.03 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2913 completed with status 0
% 184.33/300.03 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 184.33/300.03 # Preprocessing class: FSLSSLSMSSSNFFN.
% 184.33/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 184.33/300.03 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 184.33/300.03 # Starting new_bool_3 with 300s (1) cores
% 184.33/300.03 # Starting new_bool_1 with 300s (1) cores
% 184.33/300.03 # Starting sh5l with 300s (1) cores
% 184.33/300.03 # SinE strategy is gf500_gu_R04_F100_L20000
% 184.33/300.03 # Search class: FGHNF-FSMM00-SFFFFFNN
% 184.33/300.03 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 184.33/300.03 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 184.33/300.03 # Preprocessing time : 0.001 s
% 184.33/300.03 # SatCheck found unsatisfiable ground set
% 184.33/300.03
% 184.33/300.03 # Proof found!
% 184.33/300.03 # SZS status Theorem
% 184.33/300.03 # SZS output start CNFRefutation
% See solution above
% 184.33/300.03 # Parsed axioms : 1
% 184.33/300.03 # Removed by relevancy pruning/SinE : 0
% 184.33/300.03 # Initial clauses : 184
% 184.33/300.03 # Removed in clause preprocessing : 0
% 184.33/300.03 # Initial clauses in saturation : 184
% 184.33/300.03 # Processed clauses : 8125
% 184.33/300.03 # ...of these trivial : 0
% 184.33/300.03 # ...subsumed : 3125
% 184.33/300.03 # ...remaining for further processing : 5000
% 184.33/300.03 # Other redundant clauses eliminated : 0
% 184.33/300.03 # Clauses deleted for lack of memory : 0
% 184.33/300.03 # Backward-subsumed : 1742
% 184.33/300.03 # Backward-rewritten : 53
% 184.33/300.03 # Generated clauses : 53420
% 184.33/300.03 # ...of the previous two non-redundant : 49766
% 184.33/300.03 # ...aggressively subsumed : 0
% 184.33/300.03 # Contextual simplify-reflections : 782
% 184.33/300.03 # Paramodulations : 53345
% 184.33/300.03 # Factorizations : 0
% 184.33/300.03 # NegExts : 0
% 184.33/300.03 # Equation resolutions : 0
% 184.33/300.03 # Total rewrite steps : 80
% 184.33/300.03 # Propositional unsat checks : 1
% 184.33/300.03 # Propositional check models : 0
% 184.33/300.03 # Propositional check unsatisfiable : 1
% 184.33/300.03 # Propositional clauses : 44288
% 184.33/300.03 # Propositional clauses after purity: 43647
% 184.33/300.03 # Propositional unsat core size : 191
% 184.33/300.03 # Propositional preprocessing time : 0.000
% 184.33/300.03 # Propositional encoding time : 0.013
% 184.33/300.03 # Propositional solver time : 0.036
% 184.33/300.03 # Success case prop preproc time : 0.000
% 184.33/300.03 # Success case prop encoding time : 0.013
% 184.33/300.03 # Success case prop solver time : 0.036
% 184.33/300.03 # Current number of processed clauses : 3177
% 184.33/300.03 # Positive orientable unit clauses : 1
% 184.33/300.03 # Positive unorientable unit clauses: 0
% 184.33/300.03 # Negative unit clauses : 0
% 184.33/300.03 # Non-unit-clauses : 3176
% 184.33/300.03 # Current number of unprocessed clauses: 41111
% 184.33/300.03 # ...number of literals in the above : 279183
% 184.33/300.03 # Current number of archived formulas : 0
% 184.33/300.03 # Current number of archived clauses : 1795
% 184.33/300.03 # Clause-clause subsumption calls (NU) : 5301445
% 184.33/300.03 # Rec. Clause-clause subsumption calls : 416709
% 184.33/300.03 # Non-unit clause-clause subsumptions : 5681
% 184.33/300.03 # Unit Clause-clause subsumption calls : 3
% 184.33/300.03 # Rewrite failures with RHS unbound : 0
% 184.33/300.03 # BW rewrite match attempts : 1
% 184.33/300.03 # BW rewrite match successes : 1
% 184.33/300.03 # Condensation attempts : 8125
% 184.33/300.03 # Condensation successes : 0
% 184.33/300.03 # Termbank termtop insertions : 523435
% 184.33/300.03
% 184.33/300.03 # -------------------------------------------------
% 184.33/300.03 # User time : 1.021 s
% 184.33/300.03 # System time : 0.033 s
% 184.33/300.03 # Total time : 1.054 s
% 184.33/300.03 # Maximum resident set size: 2764 pages
% 184.33/300.03
% 184.33/300.03 # -------------------------------------------------
% 184.33/300.03 # User time : 1.023 s
% 184.33/300.03 # System time : 0.034 s
% 184.33/300.03 # Total time : 1.058 s
% 184.33/300.03 # Maximum resident set size: 1928 pages
% 184.33/300.03 % E---3.1 exiting
% 184.33/300.03 % E---3.1 exiting
%------------------------------------------------------------------------------