%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:24:28 PM UTC 2026
% Result : Theorem 9.70s 2.13s
% Output : CNFRefutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 238 ( 5 unt; 0 def)
% Number of atoms : 3415 ( 0 equ)
% Maximal formula atoms : 696 ( 14 avg)
% Number of connectives : 4623 (1446 ~;2158 |; 716 &)
% ( 21 <=>; 282 =>; 0 <=; 0 <~>)
% Maximal formula depth : 276 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 487 ( 0 sgn 397 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( hskp25
| hskp12
| hskp20 )
& ( hskp16
| hskp26 )
& ( hskp12
| hskp11
| hskp26 )
& ( hskp23
| hskp15
| hskp6 )
& ( hskp24
| hskp5
| hskp17 )
& ( hskp10
| hskp1
| hskp7 )
& ( hskp10
| hskp27
| hskp29 )
& ( hskp28
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| ~ c1_1(X94) ) ) )
& ( hskp21
| hskp17
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) ) )
& ( hskp23
| hskp26
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ) ) )
& ( hskp8
| hskp6
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) ) )
& ( hskp25
| hskp15
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) ) )
& ( hskp4
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| ~ c1_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c1_1(X88)
| c3_1(X88) ) ) )
& ( hskp11
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c2_1(X87)
| ~ c0_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c3_1(X86) ) ) )
& ( hskp24
| hskp23
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c0_1(X85)
| c3_1(X85) ) ) )
& ( hskp4
| hskp17
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c0_1(X84)
| c3_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c1_1(X82)
| c2_1(X82) ) ) )
& ( hskp22
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) ) )
& ( hskp17
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c1_1(X79)
| c3_1(X79)
| c2_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| ~ c0_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| c2_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp21
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c2_1(X75) ) ) )
& ( hskp3
| hskp27
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp20
| hskp11
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp12
| hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c2_1(X72)
| ~ c0_1(X72)
| c1_1(X72) ) ) )
& ( hskp18
| hskp17
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp4
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c2_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) ) )
& ( hskp16
| hskp11
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| c3_1(X68)
| c1_1(X68) ) ) )
& ( hskp5
| ! [X67] :
( ndr1_0
=> ( ~ c1_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| c3_1(X66)
| c1_1(X66) ) ) )
& ( hskp17
| ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c1_1(X64) ) ) )
& ( hskp13
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| c3_1(X63)
| c1_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c3_1(X62)
| c1_1(X62) ) ) )
& ( hskp16
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp15
| hskp6
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| c2_1(X60)
| c1_1(X60) ) ) )
& ( hskp7
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c0_1(X59)
| c2_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp14
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c2_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c2_1(X56)
| c1_1(X56) ) ) )
& ( hskp0
| hskp14
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c2_1(X55)
| c0_1(X55) ) ) )
& ( hskp3
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| ~ c2_1(X53)
| c0_1(X53) ) ) )
& ( hskp13
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| ~ c0_1(X52)
| c3_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp12
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c3_1(X50)
| c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| ~ c1_1(X49)
| c0_1(X49) ) ) )
& ( hskp8
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c2_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp12
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c2_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( hskp11
| hskp10
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp9
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| hskp8
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( hskp4
| hskp7
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp6
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp5
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c0_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp4
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c0_1(X35)
| c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ) ) )
& ( hskp3
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c3_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ~ c1_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| hskp2
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp0
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp1
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( ~ c2_1(X20)
| ~ c1_1(X20)
| c3_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| ~ c0_1(X17)
| c3_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| c2_1(X13)
| c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp0
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c0_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c2_1(X5)
| c1_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a354)
& c1_1(a354)
& c0_1(a354)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a353)
& c2_1(a353)
& c1_1(a353)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a334)
& c2_1(a334)
& c0_1(a334)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a349)
& ~ c2_1(a349)
& c0_1(a349)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a346)
& ~ c1_1(a346)
& ~ c0_1(a346)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a342)
& ~ c1_1(a342)
& c3_1(a342)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a341)
& c3_1(a341)
& c2_1(a341)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a338)
& ~ c2_1(a338)
& ~ c1_1(a338)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a336)
& ~ c0_1(a336)
& c3_1(a336)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a333)
& ~ c2_1(a333)
& c1_1(a333)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a330)
& c2_1(a330)
& c1_1(a330)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a329)
& ~ c0_1(a329)
& c2_1(a329)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a323)
& c2_1(a323)
& c0_1(a323)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a321)
& c3_1(a321)
& c2_1(a321)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a320)
& ~ c0_1(a320)
& c1_1(a320)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a315)
& c2_1(a315)
& c1_1(a315)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a313)
& c3_1(a313)
& c0_1(a313)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a310)
& ~ c0_1(a310)
& c3_1(a310)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a309)
& c3_1(a309)
& c1_1(a309)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a308)
& c3_1(a308)
& c1_1(a308)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a307)
& ~ c1_1(a307)
& c0_1(a307)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a305)
& ~ c0_1(a305)
& c2_1(a305)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a303)
& c1_1(a303)
& c0_1(a303)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a302)
& ~ c1_1(a302)
& c0_1(a302)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a301)
& ~ c1_1(a301)
& c2_1(a301)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a300)
& ~ c1_1(a300)
& ~ c0_1(a300)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a299)
& c3_1(a299)
& c0_1(a299)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a297)
& ~ c0_1(a297)
& c1_1(a297)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a295)
& c2_1(a295)
& c0_1(a295)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a294)
& ~ c2_1(a294)
& ~ c0_1(a294)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( hskp25
| hskp12
| hskp20 )
& ( hskp16
| hskp26 )
& ( hskp12
| hskp11
| hskp26 )
& ( hskp23
| hskp15
| hskp6 )
& ( hskp24
| hskp5
| hskp17 )
& ( hskp10
| hskp1
| hskp7 )
& ( hskp10
| hskp27
| hskp29 )
& ( hskp28
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| ~ c1_1(X94) ) ) )
& ( hskp21
| hskp17
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) ) )
& ( hskp23
| hskp26
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ) ) )
& ( hskp8
| hskp6
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) ) )
& ( hskp25
| hskp15
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) ) )
& ( hskp4
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| ~ c1_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c1_1(X88)
| c3_1(X88) ) ) )
& ( hskp11
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c2_1(X87)
| ~ c0_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c3_1(X86) ) ) )
& ( hskp24
| hskp23
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c0_1(X85)
| c3_1(X85) ) ) )
& ( hskp4
| hskp17
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c0_1(X84)
| c3_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c1_1(X82)
| c2_1(X82) ) ) )
& ( hskp22
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) ) )
& ( hskp17
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c1_1(X79)
| c3_1(X79)
| c2_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| ~ c0_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| c2_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp21
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c2_1(X75) ) ) )
& ( hskp3
| hskp27
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp20
| hskp11
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp12
| hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c2_1(X72)
| ~ c0_1(X72)
| c1_1(X72) ) ) )
& ( hskp18
| hskp17
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp4
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c2_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) ) )
& ( hskp16
| hskp11
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| c3_1(X68)
| c1_1(X68) ) ) )
& ( hskp5
| ! [X67] :
( ndr1_0
=> ( ~ c1_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| c3_1(X66)
| c1_1(X66) ) ) )
& ( hskp17
| ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c1_1(X64) ) ) )
& ( hskp13
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| c3_1(X63)
| c1_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c3_1(X62)
| c1_1(X62) ) ) )
& ( hskp16
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp15
| hskp6
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| c2_1(X60)
| c1_1(X60) ) ) )
& ( hskp7
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c0_1(X59)
| c2_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp14
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c2_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c2_1(X56)
| c1_1(X56) ) ) )
& ( hskp0
| hskp14
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c2_1(X55)
| c0_1(X55) ) ) )
& ( hskp3
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| ~ c2_1(X53)
| c0_1(X53) ) ) )
& ( hskp13
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| ~ c0_1(X52)
| c3_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp12
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c3_1(X50)
| c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| ~ c1_1(X49)
| c0_1(X49) ) ) )
& ( hskp8
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c2_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp12
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c2_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( hskp11
| hskp10
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp9
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| hskp8
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( hskp4
| hskp7
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp6
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp5
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c0_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp4
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c0_1(X35)
| c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ) ) )
& ( hskp3
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c3_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ~ c1_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| hskp2
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp0
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp1
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( ~ c2_1(X20)
| ~ c1_1(X20)
| c3_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| ~ c0_1(X17)
| c3_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| c2_1(X13)
| c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp0
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c0_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c2_1(X5)
| c1_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a354)
& c1_1(a354)
& c0_1(a354)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a353)
& c2_1(a353)
& c1_1(a353)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a334)
& c2_1(a334)
& c0_1(a334)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a349)
& ~ c2_1(a349)
& c0_1(a349)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a346)
& ~ c1_1(a346)
& ~ c0_1(a346)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a342)
& ~ c1_1(a342)
& c3_1(a342)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a341)
& c3_1(a341)
& c2_1(a341)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a338)
& ~ c2_1(a338)
& ~ c1_1(a338)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a336)
& ~ c0_1(a336)
& c3_1(a336)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a333)
& ~ c2_1(a333)
& c1_1(a333)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a330)
& c2_1(a330)
& c1_1(a330)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a329)
& ~ c0_1(a329)
& c2_1(a329)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a323)
& c2_1(a323)
& c0_1(a323)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a321)
& c3_1(a321)
& c2_1(a321)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a320)
& ~ c0_1(a320)
& c1_1(a320)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a315)
& c2_1(a315)
& c1_1(a315)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a313)
& c3_1(a313)
& c0_1(a313)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a310)
& ~ c0_1(a310)
& c3_1(a310)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a309)
& c3_1(a309)
& c1_1(a309)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a308)
& c3_1(a308)
& c1_1(a308)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a307)
& ~ c1_1(a307)
& c0_1(a307)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a305)
& ~ c0_1(a305)
& c2_1(a305)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a303)
& c1_1(a303)
& c0_1(a303)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a302)
& ~ c1_1(a302)
& c0_1(a302)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a301)
& ~ c1_1(a301)
& c2_1(a301)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a300)
& ~ c1_1(a300)
& ~ c0_1(a300)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a299)
& c3_1(a299)
& c0_1(a299)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a297)
& ~ c0_1(a297)
& c1_1(a297)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a295)
& c2_1(a295)
& c0_1(a295)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a294)
& ~ c2_1(a294)
& ~ c0_1(a294)
& ndr1_0 )
| ~ hskp0 ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ~ ( ( hskp25
| hskp12
| hskp20 )
& ( hskp16
| hskp26 )
& ( hskp12
| hskp11
| hskp26 )
& ( hskp23
| hskp15
| hskp6 )
& ( hskp24
| hskp5
| hskp17 )
& ( hskp10
| hskp1
| hskp7 )
& ( hskp10
| hskp27
| hskp29 )
& ( hskp28
| ! [X94] :
( ndr1_0
=> ( ~ c3_1(X94)
| ~ c2_1(X94)
| ~ c1_1(X94) ) ) )
& ( hskp21
| hskp17
| ! [X93] :
( ndr1_0
=> ( ~ c3_1(X93)
| ~ c1_1(X93)
| ~ c0_1(X93) ) ) )
& ( hskp23
| hskp26
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ) ) )
& ( hskp8
| hskp6
| ! [X91] :
( ndr1_0
=> ( ~ c2_1(X91)
| ~ c1_1(X91)
| ~ c0_1(X91) ) ) )
& ( hskp25
| hskp15
| ! [X90] :
( ndr1_0
=> ( ~ c2_1(X90)
| ~ c1_1(X90)
| c3_1(X90) ) ) )
& ( hskp4
| ! [X89] :
( ndr1_0
=> ( ~ c3_1(X89)
| ~ c2_1(X89)
| ~ c1_1(X89) ) )
| ! [X88] :
( ndr1_0
=> ( ~ c2_1(X88)
| ~ c1_1(X88)
| c3_1(X88) ) ) )
& ( hskp11
| ! [X87] :
( ndr1_0
=> ( ~ c3_1(X87)
| ~ c2_1(X87)
| ~ c0_1(X87) ) )
| ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ~ c0_1(X86)
| c3_1(X86) ) ) )
& ( hskp24
| hskp23
| ! [X85] :
( ndr1_0
=> ( ~ c1_1(X85)
| ~ c0_1(X85)
| c3_1(X85) ) ) )
& ( hskp4
| hskp17
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c0_1(X84)
| c3_1(X84) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c3_1(X82)
| ~ c1_1(X82)
| c2_1(X82) ) ) )
& ( hskp22
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| c3_1(X81)
| c2_1(X81) ) ) )
& ( hskp17
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| ~ c0_1(X80) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c1_1(X79)
| c3_1(X79)
| c2_1(X79) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( ~ c3_1(X78)
| ~ c1_1(X78)
| ~ c0_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c3_1(X77)
| ~ c1_1(X77)
| c2_1(X77) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp21
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| c3_1(X75)
| c2_1(X75) ) ) )
& ( hskp3
| hskp27
| ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c2_1(X74)
| c1_1(X74) ) ) )
& ( hskp20
| hskp11
| ! [X73] :
( ndr1_0
=> ( ~ c2_1(X73)
| ~ c0_1(X73)
| c1_1(X73) ) ) )
& ( hskp12
| hskp19
| ! [X72] :
( ndr1_0
=> ( ~ c2_1(X72)
| ~ c0_1(X72)
| c1_1(X72) ) ) )
& ( hskp18
| hskp17
| ! [X71] :
( ndr1_0
=> ( ~ c2_1(X71)
| ~ c0_1(X71)
| c1_1(X71) ) ) )
& ( hskp4
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c2_1(X69)
| ~ c0_1(X69)
| c1_1(X69) ) ) )
& ( hskp16
| hskp11
| ! [X68] :
( ndr1_0
=> ( ~ c2_1(X68)
| c3_1(X68)
| c1_1(X68) ) ) )
& ( hskp5
| ! [X67] :
( ndr1_0
=> ( ~ c1_1(X67)
| c3_1(X67)
| c2_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| c3_1(X66)
| c1_1(X66) ) ) )
& ( hskp17
| ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| c3_1(X65)
| c2_1(X65) ) )
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c1_1(X64) ) ) )
& ( hskp13
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| c3_1(X63)
| c1_1(X63) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| c3_1(X62)
| c1_1(X62) ) ) )
& ( hskp16
| ! [X61] :
( ndr1_0
=> ( ~ c3_1(X61)
| c2_1(X61)
| c1_1(X61) ) ) )
& ( hskp15
| hskp6
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| c2_1(X60)
| c1_1(X60) ) ) )
& ( hskp7
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c0_1(X59)
| c2_1(X59) ) )
| ! [X58] :
( ndr1_0
=> ( ~ c3_1(X58)
| c2_1(X58)
| c1_1(X58) ) ) )
& ( hskp14
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| ~ c1_1(X57)
| c2_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c0_1(X56)
| c2_1(X56)
| c1_1(X56) ) ) )
& ( hskp0
| hskp14
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| ~ c2_1(X55)
| c0_1(X55) ) ) )
& ( hskp3
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| ~ c2_1(X53)
| c0_1(X53) ) ) )
& ( hskp13
| ! [X52] :
( ndr1_0
=> ( ~ c1_1(X52)
| ~ c0_1(X52)
| c3_1(X52) ) )
| ! [X51] :
( ndr1_0
=> ( ~ c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp12
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c3_1(X50)
| c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| ~ c1_1(X49)
| c0_1(X49) ) ) )
& ( hskp8
| ! [X48] :
( ndr1_0
=> ( ~ c2_1(X48)
| ~ c1_1(X48)
| c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c2_1(X47)
| c3_1(X47)
| c0_1(X47) ) ) )
& ( hskp12
| ! [X46] :
( ndr1_0
=> ( ~ c3_1(X46)
| ~ c1_1(X46)
| c2_1(X46) ) )
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c3_1(X45)
| c0_1(X45) ) ) )
& ( hskp11
| hskp10
| ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) ) )
& ( hskp9
| ! [X43] :
( ndr1_0
=> ( ~ c2_1(X43)
| ~ c0_1(X43)
| c3_1(X43) ) )
| ! [X42] :
( ndr1_0
=> ( ~ c3_1(X42)
| c2_1(X42)
| c0_1(X42) ) ) )
& ( hskp5
| hskp8
| ! [X41] :
( ndr1_0
=> ( ~ c1_1(X41)
| c2_1(X41)
| c0_1(X41) ) ) )
& ( hskp4
| hskp7
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp6
| ! [X39] :
( ndr1_0
=> ( ~ c1_1(X39)
| ~ c0_1(X39)
| c3_1(X39) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| c2_1(X38)
| c0_1(X38) ) ) )
& ( hskp5
| ! [X37] :
( ndr1_0
=> ( ~ c3_1(X37)
| ~ c0_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| c2_1(X36)
| c0_1(X36) ) ) )
& ( hskp4
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| ~ c0_1(X35)
| c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ) ) )
& ( hskp3
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| c3_1(X33)
| c0_1(X33) ) )
| ! [X32] :
( ndr1_0
=> ( ~ c1_1(X32)
| c2_1(X32)
| c0_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( ~ c3_1(X31)
| ~ c1_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( ~ c1_1(X30)
| c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c1_1(X27)
| c2_1(X27)
| c0_1(X27) ) )
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| c2_1(X26)
| c0_1(X26) ) ) )
& ( hskp0
| hskp2
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c1_1(X25)
| c0_1(X25) ) ) )
& ( hskp0
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| ~ c1_1(X24)
| c2_1(X24) ) )
| ! [X23] :
( ndr1_0
=> ( ~ c3_1(X23)
| c1_1(X23)
| c0_1(X23) ) ) )
& ( hskp1
| ! [X22] :
( ndr1_0
=> ( ~ c3_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c2_1(X21)
| c1_1(X21)
| c0_1(X21) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( ~ c2_1(X20)
| ~ c1_1(X20)
| c3_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c2_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c2_1(X17)
| ~ c0_1(X17)
| c3_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| c2_1(X16)
| c0_1(X16) ) )
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( ~ c3_1(X14)
| ~ c2_1(X14)
| c0_1(X14) ) )
| ! [X13] :
( ndr1_0
=> ( c3_1(X13)
| c2_1(X13)
| c0_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp0
| ! [X11] :
( ndr1_0
=> ( ~ c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c1_1(X9)
| ~ c0_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c2_1(X8)
| ~ c0_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c1_1(X7)
| c0_1(X7) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ~ c3_1(X6)
| ~ c1_1(X6)
| c2_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c2_1(X5)
| c1_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( c2_1(X4)
| c1_1(X4)
| c0_1(X4) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( ~ c2_1(X3)
| ~ c1_1(X3)
| c0_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( ( c2_1(a354)
& c1_1(a354)
& c0_1(a354)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a353)
& c2_1(a353)
& c1_1(a353)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a334)
& c2_1(a334)
& c0_1(a334)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a349)
& ~ c2_1(a349)
& c0_1(a349)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c3_1(a346)
& ~ c1_1(a346)
& ~ c0_1(a346)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c2_1(a342)
& ~ c1_1(a342)
& c3_1(a342)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c0_1(a341)
& c3_1(a341)
& c2_1(a341)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a338)
& ~ c2_1(a338)
& ~ c1_1(a338)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c1_1(a336)
& ~ c0_1(a336)
& c3_1(a336)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a333)
& ~ c2_1(a333)
& c1_1(a333)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a330)
& c2_1(a330)
& c1_1(a330)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c3_1(a329)
& ~ c0_1(a329)
& c2_1(a329)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c3_1(a323)
& c2_1(a323)
& c0_1(a323)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a321)
& c3_1(a321)
& c2_1(a321)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a320)
& ~ c0_1(a320)
& c1_1(a320)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c0_1(a315)
& c2_1(a315)
& c1_1(a315)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a313)
& c3_1(a313)
& c0_1(a313)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a310)
& ~ c0_1(a310)
& c3_1(a310)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c2_1(a309)
& c3_1(a309)
& c1_1(a309)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a308)
& c3_1(a308)
& c1_1(a308)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a307)
& ~ c1_1(a307)
& c0_1(a307)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c1_1(a305)
& ~ c0_1(a305)
& c2_1(a305)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a303)
& c1_1(a303)
& c0_1(a303)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c2_1(a302)
& ~ c1_1(a302)
& c0_1(a302)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a301)
& ~ c1_1(a301)
& c2_1(a301)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a300)
& ~ c1_1(a300)
& ~ c0_1(a300)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c2_1(a299)
& c3_1(a299)
& c0_1(a299)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a297)
& ~ c0_1(a297)
& c1_1(a297)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c1_1(a295)
& c2_1(a295)
& c0_1(a295)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a294)
& ~ c2_1(a294)
& ~ c0_1(a294)
& ndr1_0 )
| ~ hskp0 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [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,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188] :
( ( hskp25
| hskp12
| hskp20 )
& ( hskp16
| hskp26 )
& ( hskp12
| hskp11
| hskp26 )
& ( hskp23
| hskp15
| hskp6 )
& ( hskp24
| hskp5
| hskp17 )
& ( hskp10
| hskp1
| hskp7 )
& ( hskp10
| hskp27
| hskp29 )
& ( hskp28
| ~ c3_1(X188)
| ~ c2_1(X188)
| ~ c1_1(X188)
| ~ ndr1_0 )
& ( hskp21
| hskp17
| ~ c3_1(X187)
| ~ c1_1(X187)
| ~ c0_1(X187)
| ~ ndr1_0 )
& ( hskp23
| hskp26
| ~ c2_1(X186)
| ~ c1_1(X186)
| ~ c0_1(X186)
| ~ ndr1_0 )
& ( hskp8
| hskp6
| ~ c2_1(X185)
| ~ c1_1(X185)
| ~ c0_1(X185)
| ~ ndr1_0 )
& ( hskp25
| hskp15
| ~ c2_1(X184)
| ~ c1_1(X184)
| c3_1(X184)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X183)
| ~ c2_1(X183)
| ~ c1_1(X183)
| ~ ndr1_0
| ~ c2_1(X182)
| ~ c1_1(X182)
| c3_1(X182)
| ~ ndr1_0 )
& ( hskp11
| ~ c3_1(X181)
| ~ c2_1(X181)
| ~ c0_1(X181)
| ~ ndr1_0
| ~ c2_1(X180)
| ~ c0_1(X180)
| c3_1(X180)
| ~ ndr1_0 )
& ( hskp24
| hskp23
| ~ c1_1(X179)
| ~ c0_1(X179)
| c3_1(X179)
| ~ ndr1_0 )
& ( hskp4
| hskp17
| ~ c1_1(X178)
| ~ c0_1(X178)
| c3_1(X178)
| ~ ndr1_0 )
& ( ~ c3_1(X177)
| ~ c2_1(X177)
| ~ c0_1(X177)
| ~ ndr1_0
| ~ c3_1(X176)
| ~ c1_1(X176)
| c2_1(X176)
| ~ ndr1_0 )
& ( hskp22
| ~ c1_1(X175)
| c3_1(X175)
| c2_1(X175)
| ~ ndr1_0 )
& ( hskp17
| ~ c3_1(X174)
| ~ c1_1(X174)
| ~ c0_1(X174)
| ~ ndr1_0
| ~ c1_1(X173)
| c3_1(X173)
| c2_1(X173)
| ~ ndr1_0 )
& ( ~ c3_1(X172)
| ~ c1_1(X172)
| ~ c0_1(X172)
| ~ ndr1_0
| ~ c3_1(X171)
| ~ c1_1(X171)
| c2_1(X171)
| ~ ndr1_0
| ~ c1_1(X170)
| c3_1(X170)
| c2_1(X170)
| ~ ndr1_0 )
& ( hskp21
| ~ c0_1(X169)
| c3_1(X169)
| c2_1(X169)
| ~ ndr1_0 )
& ( hskp3
| hskp27
| ~ c3_1(X168)
| ~ c2_1(X168)
| c1_1(X168)
| ~ ndr1_0 )
& ( hskp20
| hskp11
| ~ c2_1(X167)
| ~ c0_1(X167)
| c1_1(X167)
| ~ ndr1_0 )
& ( hskp12
| hskp19
| ~ c2_1(X166)
| ~ c0_1(X166)
| c1_1(X166)
| ~ ndr1_0 )
& ( hskp18
| hskp17
| ~ c2_1(X165)
| ~ c0_1(X165)
| c1_1(X165)
| ~ ndr1_0 )
& ( hskp4
| ~ c3_1(X164)
| ~ c0_1(X164)
| c1_1(X164)
| ~ ndr1_0
| ~ c2_1(X163)
| ~ c0_1(X163)
| c1_1(X163)
| ~ ndr1_0 )
& ( hskp16
| hskp11
| ~ c2_1(X162)
| c3_1(X162)
| c1_1(X162)
| ~ ndr1_0 )
& ( hskp5
| ~ c1_1(X161)
| c3_1(X161)
| c2_1(X161)
| ~ ndr1_0
| ~ c2_1(X160)
| c3_1(X160)
| c1_1(X160)
| ~ ndr1_0 )
& ( hskp17
| ~ c1_1(X159)
| c3_1(X159)
| c2_1(X159)
| ~ ndr1_0
| ~ c0_1(X158)
| c3_1(X158)
| c1_1(X158)
| ~ ndr1_0 )
& ( hskp13
| ~ c2_1(X157)
| c3_1(X157)
| c1_1(X157)
| ~ ndr1_0
| ~ c0_1(X156)
| c3_1(X156)
| c1_1(X156)
| ~ ndr1_0 )
& ( hskp16
| ~ c3_1(X155)
| c2_1(X155)
| c1_1(X155)
| ~ ndr1_0 )
& ( hskp15
| hskp6
| ~ c3_1(X154)
| c2_1(X154)
| c1_1(X154)
| ~ ndr1_0 )
& ( hskp7
| ~ c1_1(X153)
| ~ c0_1(X153)
| c2_1(X153)
| ~ ndr1_0
| ~ c3_1(X152)
| c2_1(X152)
| c1_1(X152)
| ~ ndr1_0 )
& ( hskp14
| ~ c3_1(X151)
| ~ c1_1(X151)
| c2_1(X151)
| ~ ndr1_0
| ~ c0_1(X150)
| c2_1(X150)
| c1_1(X150)
| ~ ndr1_0 )
& ( hskp0
| hskp14
| ~ c3_1(X149)
| ~ c2_1(X149)
| c0_1(X149)
| ~ ndr1_0 )
& ( hskp3
| ~ c1_1(X148)
| c3_1(X148)
| c2_1(X148)
| ~ ndr1_0
| ~ c3_1(X147)
| ~ c2_1(X147)
| c0_1(X147)
| ~ ndr1_0 )
& ( hskp13
| ~ c1_1(X146)
| ~ c0_1(X146)
| c3_1(X146)
| ~ ndr1_0
| ~ c2_1(X145)
| ~ c1_1(X145)
| c0_1(X145)
| ~ ndr1_0 )
& ( hskp12
| ~ c0_1(X144)
| c3_1(X144)
| c2_1(X144)
| ~ ndr1_0
| ~ c2_1(X143)
| ~ c1_1(X143)
| c0_1(X143)
| ~ ndr1_0 )
& ( hskp8
| ~ c2_1(X142)
| ~ c1_1(X142)
| c3_1(X142)
| ~ ndr1_0
| ~ c2_1(X141)
| c3_1(X141)
| c0_1(X141)
| ~ ndr1_0 )
& ( hskp12
| ~ c3_1(X140)
| ~ c1_1(X140)
| c2_1(X140)
| ~ ndr1_0
| ~ c1_1(X139)
| c3_1(X139)
| c0_1(X139)
| ~ ndr1_0 )
& ( hskp11
| hskp10
| ~ c3_1(X138)
| c2_1(X138)
| c0_1(X138)
| ~ ndr1_0 )
& ( hskp9
| ~ c2_1(X137)
| ~ c0_1(X137)
| c3_1(X137)
| ~ ndr1_0
| ~ c3_1(X136)
| c2_1(X136)
| c0_1(X136)
| ~ ndr1_0 )
& ( hskp5
| hskp8
| ~ c1_1(X135)
| c2_1(X135)
| c0_1(X135)
| ~ ndr1_0 )
& ( hskp4
| hskp7
| ~ c1_1(X134)
| c2_1(X134)
| c0_1(X134)
| ~ ndr1_0 )
& ( hskp6
| ~ c1_1(X133)
| ~ c0_1(X133)
| c3_1(X133)
| ~ ndr1_0
| ~ c1_1(X132)
| c2_1(X132)
| c0_1(X132)
| ~ ndr1_0 )
& ( hskp5
| ~ c3_1(X131)
| ~ c0_1(X131)
| c1_1(X131)
| ~ ndr1_0
| ~ c1_1(X130)
| c2_1(X130)
| c0_1(X130)
| ~ ndr1_0 )
& ( hskp4
| ~ c2_1(X129)
| ~ c0_1(X129)
| c1_1(X129)
| ~ ndr1_0
| ~ c1_1(X128)
| c2_1(X128)
| c0_1(X128)
| ~ ndr1_0 )
& ( hskp3
| ~ c1_1(X127)
| c3_1(X127)
| c0_1(X127)
| ~ ndr1_0
| ~ c1_1(X126)
| c2_1(X126)
| c0_1(X126)
| ~ ndr1_0 )
& ( ~ c3_1(X125)
| ~ c1_1(X125)
| c0_1(X125)
| ~ ndr1_0
| ~ c1_1(X124)
| c3_1(X124)
| c0_1(X124)
| ~ ndr1_0
| ~ c1_1(X123)
| c2_1(X123)
| c0_1(X123)
| ~ ndr1_0 )
& ( ~ c3_1(X122)
| ~ c2_1(X122)
| c1_1(X122)
| ~ ndr1_0
| ~ c1_1(X121)
| c2_1(X121)
| c0_1(X121)
| ~ ndr1_0
| c3_1(X120)
| c2_1(X120)
| c0_1(X120)
| ~ ndr1_0 )
& ( hskp0
| hskp2
| ~ c3_1(X119)
| c1_1(X119)
| c0_1(X119)
| ~ ndr1_0 )
& ( hskp0
| ~ c3_1(X118)
| ~ c1_1(X118)
| c2_1(X118)
| ~ ndr1_0
| ~ c3_1(X117)
| c1_1(X117)
| c0_1(X117)
| ~ ndr1_0 )
& ( hskp1
| ~ c3_1(X116)
| ~ c2_1(X116)
| c1_1(X116)
| ~ ndr1_0
| ~ c2_1(X115)
| c1_1(X115)
| c0_1(X115)
| ~ ndr1_0 )
& ( ~ c2_1(X114)
| ~ c1_1(X114)
| c3_1(X114)
| ~ ndr1_0
| ~ c1_1(X113)
| c2_1(X113)
| c0_1(X113)
| ~ ndr1_0
| ~ c2_1(X112)
| c1_1(X112)
| c0_1(X112)
| ~ ndr1_0 )
& ( ~ c2_1(X111)
| ~ c0_1(X111)
| c3_1(X111)
| ~ ndr1_0
| ~ c1_1(X110)
| c2_1(X110)
| c0_1(X110)
| ~ ndr1_0
| c3_1(X109)
| c1_1(X109)
| c0_1(X109)
| ~ ndr1_0 )
& ( ~ c3_1(X108)
| ~ c2_1(X108)
| c0_1(X108)
| ~ ndr1_0
| c3_1(X107)
| c2_1(X107)
| c0_1(X107)
| ~ ndr1_0
| c3_1(X106)
| c1_1(X106)
| c0_1(X106)
| ~ ndr1_0 )
& ( hskp0
| ~ c1_1(X105)
| ~ c0_1(X105)
| c2_1(X105)
| ~ ndr1_0
| c2_1(X104)
| c1_1(X104)
| c0_1(X104)
| ~ ndr1_0 )
& ( ~ c3_1(X103)
| ~ c1_1(X103)
| ~ c0_1(X103)
| ~ ndr1_0
| ~ c2_1(X102)
| ~ c0_1(X102)
| c1_1(X102)
| ~ ndr1_0
| c2_1(X101)
| c1_1(X101)
| c0_1(X101)
| ~ ndr1_0 )
& ( ~ c3_1(X100)
| ~ c1_1(X100)
| c2_1(X100)
| ~ ndr1_0
| c3_1(X99)
| c2_1(X99)
| c1_1(X99)
| ~ ndr1_0
| c2_1(X98)
| c1_1(X98)
| c0_1(X98)
| ~ ndr1_0 )
& ( ~ c2_1(X97)
| ~ c1_1(X97)
| c0_1(X97)
| ~ ndr1_0
| c3_1(X96)
| c2_1(X96)
| c0_1(X96)
| ~ ndr1_0
| c2_1(X95)
| c1_1(X95)
| c0_1(X95)
| ~ ndr1_0 )
& ( ~ hskp29
| c2_1(a354) )
& ( ~ hskp29
| c1_1(a354) )
& ( ~ hskp29
| c0_1(a354) )
& ( ~ hskp29
| ndr1_0 )
& ( ~ hskp28
| c3_1(a353) )
& ( ~ hskp28
| c2_1(a353) )
& ( ~ hskp28
| c1_1(a353) )
& ( ~ hskp28
| ndr1_0 )
& ( ~ hskp27
| c3_1(a334) )
& ( ~ hskp27
| c2_1(a334) )
& ( ~ hskp27
| c0_1(a334) )
& ( ~ hskp27
| ndr1_0 )
& ( ~ hskp26
| ~ c3_1(a349) )
& ( ~ hskp26
| ~ c2_1(a349) )
& ( ~ hskp26
| c0_1(a349) )
& ( ~ hskp26
| ndr1_0 )
& ( ~ hskp25
| ~ c3_1(a346) )
& ( ~ hskp25
| ~ c1_1(a346) )
& ( ~ hskp25
| ~ c0_1(a346) )
& ( ~ hskp25
| ndr1_0 )
& ( ~ hskp24
| ~ c2_1(a342) )
& ( ~ hskp24
| ~ c1_1(a342) )
& ( ~ hskp24
| c3_1(a342) )
& ( ~ hskp24
| ndr1_0 )
& ( ~ hskp23
| ~ c0_1(a341) )
& ( ~ hskp23
| c3_1(a341) )
& ( ~ hskp23
| c2_1(a341) )
& ( ~ hskp23
| ndr1_0 )
& ( ~ hskp22
| ~ c3_1(a338) )
& ( ~ hskp22
| ~ c2_1(a338) )
& ( ~ hskp22
| ~ c1_1(a338) )
& ( ~ hskp22
| ndr1_0 )
& ( ~ hskp21
| ~ c1_1(a336) )
& ( ~ hskp21
| ~ c0_1(a336) )
& ( ~ hskp21
| c3_1(a336) )
& ( ~ hskp21
| ndr1_0 )
& ( ~ hskp20
| ~ c3_1(a333) )
& ( ~ hskp20
| ~ c2_1(a333) )
& ( ~ hskp20
| c1_1(a333) )
& ( ~ hskp20
| ndr1_0 )
& ( ~ hskp19
| ~ c3_1(a330) )
& ( ~ hskp19
| c2_1(a330) )
& ( ~ hskp19
| c1_1(a330) )
& ( ~ hskp19
| ndr1_0 )
& ( ~ hskp18
| ~ c3_1(a329) )
& ( ~ hskp18
| ~ c0_1(a329) )
& ( ~ hskp18
| c2_1(a329) )
& ( ~ hskp18
| ndr1_0 )
& ( ~ hskp17
| ~ c3_1(a323) )
& ( ~ hskp17
| c2_1(a323) )
& ( ~ hskp17
| c0_1(a323) )
& ( ~ hskp17
| ndr1_0 )
& ( ~ hskp16
| ~ c1_1(a321) )
& ( ~ hskp16
| c3_1(a321) )
& ( ~ hskp16
| c2_1(a321) )
& ( ~ hskp16
| ndr1_0 )
& ( ~ hskp15
| ~ c2_1(a320) )
& ( ~ hskp15
| ~ c0_1(a320) )
& ( ~ hskp15
| c1_1(a320) )
& ( ~ hskp15
| ndr1_0 )
& ( ~ hskp14
| ~ c0_1(a315) )
& ( ~ hskp14
| c2_1(a315) )
& ( ~ hskp14
| c1_1(a315) )
& ( ~ hskp14
| ndr1_0 )
& ( ~ hskp13
| ~ c1_1(a313) )
& ( ~ hskp13
| c3_1(a313) )
& ( ~ hskp13
| c0_1(a313) )
& ( ~ hskp13
| ndr1_0 )
& ( ~ hskp12
| ~ c2_1(a310) )
& ( ~ hskp12
| ~ c0_1(a310) )
& ( ~ hskp12
| c3_1(a310) )
& ( ~ hskp12
| ndr1_0 )
& ( ~ hskp11
| ~ c2_1(a309) )
& ( ~ hskp11
| c3_1(a309) )
& ( ~ hskp11
| c1_1(a309) )
& ( ~ hskp11
| ndr1_0 )
& ( ~ hskp10
| ~ c0_1(a308) )
& ( ~ hskp10
| c3_1(a308) )
& ( ~ hskp10
| c1_1(a308) )
& ( ~ hskp10
| ndr1_0 )
& ( ~ hskp9
| ~ c3_1(a307) )
& ( ~ hskp9
| ~ c1_1(a307) )
& ( ~ hskp9
| c0_1(a307) )
& ( ~ hskp9
| ndr1_0 )
& ( ~ hskp8
| ~ c1_1(a305) )
& ( ~ hskp8
| ~ c0_1(a305) )
& ( ~ hskp8
| c2_1(a305) )
& ( ~ hskp8
| ndr1_0 )
& ( ~ hskp7
| ~ c2_1(a303) )
& ( ~ hskp7
| c1_1(a303) )
& ( ~ hskp7
| c0_1(a303) )
& ( ~ hskp7
| ndr1_0 )
& ( ~ hskp6
| ~ c2_1(a302) )
& ( ~ hskp6
| ~ c1_1(a302) )
& ( ~ hskp6
| c0_1(a302) )
& ( ~ hskp6
| ndr1_0 )
& ( ~ hskp5
| ~ c3_1(a301) )
& ( ~ hskp5
| ~ c1_1(a301) )
& ( ~ hskp5
| c2_1(a301) )
& ( ~ hskp5
| ndr1_0 )
& ( ~ hskp4
| ~ c2_1(a300) )
& ( ~ hskp4
| ~ c1_1(a300) )
& ( ~ hskp4
| ~ c0_1(a300) )
& ( ~ hskp4
| ndr1_0 )
& ( ~ hskp3
| ~ c2_1(a299) )
& ( ~ hskp3
| c3_1(a299) )
& ( ~ hskp3
| c0_1(a299) )
& ( ~ hskp3
| ndr1_0 )
& ( ~ hskp2
| ~ c3_1(a297) )
& ( ~ hskp2
| ~ c0_1(a297) )
& ( ~ hskp2
| c1_1(a297) )
& ( ~ hskp2
| ndr1_0 )
& ( ~ hskp1
| ~ c1_1(a295) )
& ( ~ hskp1
| c2_1(a295) )
& ( ~ hskp1
| c0_1(a295) )
& ( ~ hskp1
| ndr1_0 )
& ( ~ hskp0
| ~ c3_1(a294) )
& ( ~ hskp0
| ~ c2_1(a294) )
& ( ~ hskp0
| ~ c0_1(a294) )
& ( ~ hskp0
| ndr1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ hskp16
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( hskp16
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_8,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( ~ c0_1(X1)
| ~ ndr1_0
| hskp21
| c3_1(X1)
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_10,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_11,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c0_1(X1)
| c1_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_7]),c_0_8])]) ).
cnf(c_0_12,negated_conjecture,
( ~ hskp21
| c3_1(a336) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
( ~ hskp21
| ~ c0_1(a336) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
( ~ hskp21
| ~ c1_1(a336) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
cnf(c_0_16,negated_conjecture,
( ~ hskp26
| c0_1(a349) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( ~ hskp26
| ~ c2_1(a349) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_18,negated_conjecture,
( ~ hskp26
| ~ c3_1(a349) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_19,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_20,plain,
( ~ epred41_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_21,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp16
| c2_1(X1)
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_22,plain,
( ~ epred38_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_23,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_8])]) ).
cnf(c_0_24,negated_conjecture,
( ~ hskp12
| c3_1(a310) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,negated_conjecture,
( ~ hskp12
| ~ c2_1(a310) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( ~ hskp12
| ~ c0_1(a310) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( ~ hskp21
| hskp0
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( ~ hskp26
| hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_29,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( ~ hskp16
| c3_1(a321) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( ~ hskp16
| c2_1(a321) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,negated_conjecture,
( ~ hskp16
| ~ c1_1(a321) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_33,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_34,plain,
( ~ epred40_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_35,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_20]),c_0_8])]) ).
cnf(c_0_36,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp16 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_8])]) ).
fof(c_0_37,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_38,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| hskp12
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_39,negated_conjecture,
( ~ hskp0
| ~ c3_1(a294) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_22]) ).
cnf(c_0_41,negated_conjecture,
( ~ hskp0
| ~ c0_1(a294) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_42,negated_conjecture,
( ~ hskp0
| ~ c2_1(a294) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_43,negated_conjecture,
( ~ c1_1(a310)
| ~ hskp12
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_44,negated_conjecture,
( ~ hskp12
| hskp0
| c1_1(a310)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_24]),c_0_26]) ).
cnf(c_0_45,negated_conjecture,
( ~ hskp26
| hskp0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_46,negated_conjecture,
( hskp12
| hskp11
| hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_47,negated_conjecture,
( ~ c0_1(a321)
| ~ hskp16
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( ~ hskp16
| hskp0
| c0_1(a321)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_30]),c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred40_0 ),
inference(split_equiv,[status(thm)],[c_0_34]) ).
cnf(c_0_51,negated_conjecture,
( ~ c2_1(a336)
| ~ hskp21
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_14]) ).
cnf(c_0_52,negated_conjecture,
( ~ hskp21
| c2_1(a336)
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_12]),c_0_14]) ).
cnf(c_0_53,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_37]),c_0_8])]) ).
cnf(c_0_54,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp12
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_8])]) ).
cnf(c_0_55,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_56,negated_conjecture,
( ~ hskp0
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_57,negated_conjecture,
( ~ hskp12
| hskp0
| epred1_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_58,negated_conjecture,
( hskp0
| hskp11
| hskp12
| epred12_0 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_59,negated_conjecture,
( ~ hskp11
| c3_1(a309) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_60,negated_conjecture,
( ~ hskp11
| c1_1(a309) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_61,negated_conjecture,
( ~ hskp11
| ~ c2_1(a309) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_62,negated_conjecture,
( ~ hskp16
| hskp0
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_63,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_64,negated_conjecture,
( ~ hskp0
| ~ c1_1(a294)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_49]),c_0_42]) ).
cnf(c_0_65,negated_conjecture,
( ~ hskp0
| c1_1(a294)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_42]) ).
cnf(c_0_66,negated_conjecture,
( ~ c1_1(a310)
| ~ hskp12
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_49]),c_0_25]) ).
cnf(c_0_67,negated_conjecture,
( ~ hskp21
| hskp16
| epred41_0 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_68,negated_conjecture,
( ~ hskp12
| c1_1(a310)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_53]),c_0_25]) ).
cnf(c_0_69,negated_conjecture,
( ~ hskp26
| hskp12
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_70,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| hskp0
| c2_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_71,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X1) ),
inference(cn,[status(thm)],[c_0_55]) ).
cnf(c_0_72,negated_conjecture,
( ~ hskp12
| epred1_0
| epred12_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_73,negated_conjecture,
( hskp11
| hskp12
| epred12_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_58]) ).
cnf(c_0_74,negated_conjecture,
( ~ hskp11
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_75,negated_conjecture,
( hskp0
| epred2_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_5]),c_0_45]) ).
cnf(c_0_76,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_63]) ).
cnf(c_0_77,negated_conjecture,
( ~ hskp0
| epred6_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( ~ hskp12
| hskp0
| epred6_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_44]) ).
cnf(c_0_79,negated_conjecture,
( ~ hskp0
| c1_1(a294)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_42]) ).
cnf(c_0_80,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| c1_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_81,negated_conjecture,
( hskp16
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_28]),c_0_5]) ).
cnf(c_0_82,negated_conjecture,
( ~ hskp12
| epred1_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_68]) ).
cnf(c_0_83,negated_conjecture,
( hskp11
| hskp12
| epred26_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_46]) ).
cnf(c_0_84,negated_conjecture,
( ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[c_0_70]) ).
cnf(c_0_85,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_71,c_0_10]),c_0_19]) ).
cnf(c_0_86,negated_conjecture,
( epred1_0
| epred12_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_87,negated_conjecture,
( epred2_0
| epred12_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_75]) ).
cnf(c_0_88,negated_conjecture,
( ~ c1_1(a310)
| ~ hskp12
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_24]),c_0_25]) ).
cnf(c_0_89,negated_conjecture,
( ~ hskp12
| epred6_0
| epred12_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_90,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
fof(c_0_91,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_92,negated_conjecture,
( ~ hskp0
| epred6_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_79]) ).
cnf(c_0_93,negated_conjecture,
( ~ hskp12
| epred6_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_94,negated_conjecture,
( ~ c1_1(X2)
| ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X3)
| c3_1(X1)
| c2_1(X1)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
inference(cn,[status(thm)],[c_0_80]) ).
cnf(c_0_95,negated_conjecture,
( c1_1(a321)
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_31]),c_0_81]) ).
cnf(c_0_96,negated_conjecture,
( epred1_0
| epred26_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_74]) ).
cnf(c_0_97,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_84,c_0_7]),c_0_63]) ).
cnf(c_0_98,negated_conjecture,
( epred12_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_99,negated_conjecture,
( ~ hskp12
| epred13_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_68]) ).
cnf(c_0_100,negated_conjecture,
( ~ hskp11
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_101,negated_conjecture,
( hskp11
| epred6_0
| epred12_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_58]),c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_90]),c_0_8])]) ).
cnf(c_0_103,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
cnf(c_0_104,negated_conjecture,
( hskp11
| epred6_0
| epred12_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_58]),c_0_93]) ).
cnf(c_0_105,negated_conjecture,
( ~ epred6_0
| ~ epred38_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_94,c_0_20]),c_0_22]),c_0_33]) ).
cnf(c_0_106,negated_conjecture,
epred41_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_95]),c_0_81]) ).
cnf(c_0_107,negated_conjecture,
( ~ epred2_0
| epred26_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( epred2_0
| epred6_0
| epred12_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_92,c_0_75]) ).
cnf(c_0_109,negated_conjecture,
( ~ epred13_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,negated_conjecture,
( epred13_0
| epred26_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_83]),c_0_100]) ).
cnf(c_0_111,negated_conjecture,
( epred1_0
| epred6_0
| epred12_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_74,c_0_101]) ).
cnf(c_0_112,negated_conjecture,
( epred2_0
| epred6_0
| epred12_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp12
| hskp0
| c1_1(a310)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_102]),c_0_25]) ).
cnf(c_0_114,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp1
| c1_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_115,negated_conjecture,
( ~ c2_1(a336)
| ~ hskp21
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_12]),c_0_14]) ).
cnf(c_0_116,negated_conjecture,
( ~ hskp16
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_30]),c_0_31]),c_0_32]) ).
fof(c_0_117,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp11
| hskp10
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_119,negated_conjecture,
( epred1_0
| epred6_0
| epred12_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_74,c_0_104]) ).
cnf(c_0_120,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp12
| c3_1(X2)
| c2_1(X2)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_121,negated_conjecture,
( ~ epred6_0
| ~ epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_122,negated_conjecture,
( epred6_0
| epred12_0
| epred26_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_123,negated_conjecture,
( epred26_0
| epred37_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_124,negated_conjecture,
( epred6_0
| epred12_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_111]),c_0_112]) ).
fof(c_0_125,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_126,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ ndr1_0
| hskp0
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp12
| hskp0
| epred3_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_113]) ).
fof(c_0_128,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp1
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[c_0_114]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp21
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_52]),c_0_116]) ).
cnf(c_0_131,negated_conjecture,
( hskp26
| epred15_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_5]) ).
cnf(c_0_132,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_117]) ).
fof(c_0_133,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_134,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_135,plain,
( ~ epred4_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_136,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| hskp8
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp2
| ~ c3_1(a297) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_138,negated_conjecture,
( ~ hskp2
| ~ c0_1(a297) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_139,negated_conjecture,
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| hskp20
| hskp11
| c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_140,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp10
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_8])]) ).
cnf(c_0_141,negated_conjecture,
( ~ c3_1(X1)
| ~ ndr1_0
| hskp0
| hskp2
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_142,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| hskp0
| hskp14
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_143,negated_conjecture,
( epred6_0
| epred12_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_119]),c_0_108]) ).
fof(c_0_144,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_145,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X1)
| hskp12 ),
inference(cn,[status(thm)],[c_0_120]) ).
cnf(c_0_146,negated_conjecture,
( epred12_0
| epred26_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_147,negated_conjecture,
( ~ epred41_0
| epred12_0
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_124]),c_0_98]) ).
cnf(c_0_148,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_125]),c_0_8])]) ).
cnf(c_0_149,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[c_0_126]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp12
| epred3_0
| epred13_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_127]) ).
cnf(c_0_151,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_129,c_0_128]),c_0_91]) ).
cnf(c_0_152,negated_conjecture,
epred15_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_28]),c_0_131]) ).
cnf(c_0_153,negated_conjecture,
( ~ c2_1(a336)
| ~ hskp21
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_12]),c_0_13]) ).
fof(c_0_154,plain,
( ~ epred44_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_133]) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp2
| c1_1(a297) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp10
| ~ c0_1(a308) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_158,negated_conjecture,
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp10
| c1_1(a308) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp10
| c3_1(a308) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_161,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_135]) ).
cnf(c_0_162,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_163,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| c2_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_164,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_165,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_166,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| hskp8
| c3_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_167,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp21
| epred6_0 ),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp20
| c1_1(a333) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_169,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp8
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_136]),c_0_8])]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp2
| c2_1(a297)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_40]),c_0_138]) ).
cnf(c_0_171,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| hskp11
| hskp20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_8])]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp16
| c0_1(a321)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_30]),c_0_31]) ).
cnf(c_0_173,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp10
| hskp11
| epred38_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_40]) ).
cnf(c_0_174,negated_conjecture,
( ~ c3_1(X1)
| hskp0
| c0_1(X1)
| c1_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_8])]) ).
cnf(c_0_175,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp0
| c0_1(X1)
| hskp14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_8])]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp1
| c0_1(a295) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_177,negated_conjecture,
( epred12_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_143]),c_0_98]) ).
cnf(c_0_178,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_144]),c_0_8])]) ).
cnf(c_0_179,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_145,c_0_38]),c_0_134]) ).
cnf(c_0_180,negated_conjecture,
( epred26_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_146]),c_0_110]) ).
cnf(c_0_181,negated_conjecture,
( ~ epred13_0
| ~ epred41_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_147]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp0
| c1_1(a294)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_148]),c_0_41]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_149,c_0_90]),c_0_135]) ).
cnf(c_0_184,negated_conjecture,
( epred3_0
| epred26_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_83]),c_0_100]),c_0_109]) ).
cnf(c_0_185,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| hskp1
| c1_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_8])]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp8
| c2_1(a305) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_187,negated_conjecture,
~ epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp8
| ~ c0_1(a305) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp8
| ~ c1_1(a305) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp21
| hskp16
| epred17_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_52]) ).
cnf(c_0_191,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_192,negated_conjecture,
( ~ c2_1(a297)
| ~ hskp2
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_155]),c_0_156]) ).
cnf(c_0_193,negated_conjecture,
( ~ c2_1(a308)
| ~ hskp10
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp10
| c2_1(a308)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_160]),c_0_159]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp14
| ~ c0_1(a315) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp14
| c2_1(a315) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp14
| c1_1(a315) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a308)
| ~ hskp10
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_160]),c_0_157]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp20
| ~ c2_1(a333) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_200,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| epred4_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_49]) ).
cnf(c_0_201,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X1)
| c0_1(X1)
| c0_1(X2)
| c0_1(X3) ),
inference(cn,[status(thm)],[c_0_162]) ).
cnf(c_0_202,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X1)
| c2_1(X2)
| c2_1(X3)
| c0_1(X1) ),
inference(cn,[status(thm)],[c_0_163]) ).
cnf(c_0_203,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2)
| c0_1(X3) ),
inference(cn,[status(thm)],[c_0_164]) ).
cnf(c_0_204,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X2)
| c2_1(X1)
| c2_1(X2)
| c0_1(X1)
| c0_1(X2)
| c0_1(X3) ),
inference(cn,[status(thm)],[c_0_165]) ).
cnf(c_0_205,negated_conjecture,
( ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X1)
| c3_1(X2)
| c0_1(X1)
| hskp8 ),
inference(cn,[status(thm)],[c_0_166]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp20
| c2_1(a333)
| c3_1(a333)
| hskp21
| epred6_0 ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_207,negated_conjecture,
( ~ hskp2
| epred38_0
| c0_1(a297)
| c3_1(a297)
| hskp8
| epred22_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp16
| ~ c2_1(a321)
| epred17_0
| c1_1(a321)
| hskp11
| hskp20 ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp12
| c2_1(a310)
| hskp10
| hskp11
| epred38_0 ),
inference(spm,[status(thm)],[c_0_26,c_0_173]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp12
| hskp0
| c0_1(a310)
| c1_1(a310)
| hskp2 ),
inference(spm,[status(thm)],[c_0_174,c_0_24]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp12
| c0_1(a310)
| c2_1(a310)
| hskp10
| hskp11 ),
inference(spm,[status(thm)],[c_0_140,c_0_24]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp21
| c0_1(a336)
| c2_1(a336)
| hskp10
| hskp11 ),
inference(spm,[status(thm)],[c_0_140,c_0_12]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp21
| ~ c2_1(a336)
| hskp0
| c0_1(a336)
| hskp14 ),
inference(spm,[status(thm)],[c_0_175,c_0_12]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp1
| ~ c2_1(a295)
| c1_1(a295)
| hskp11
| hskp20 ),
inference(spm,[status(thm)],[c_0_171,c_0_176]) ).
cnf(c_0_215,negated_conjecture,
( ~ epred13_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_177]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp2
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_178]),c_0_156]),c_0_138]) ).
cnf(c_0_217,negated_conjecture,
( ~ epred27_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_218,negated_conjecture,
( ~ epred13_0
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_106])]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp0
| epred6_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_182]) ).
cnf(c_0_220,negated_conjecture,
( ~ epred4_0
| epred26_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp8
| hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188]),c_0_189]) ).
cnf(c_0_222,negated_conjecture,
( hskp16
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_28]),c_0_5]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp10
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_160]),c_0_159]),c_0_157]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp2
| epred23_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_170]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp10
| epred13_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp14
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_158]),c_0_196]),c_0_197]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp10
| epred13_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_198,c_0_194]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp20
| epred4_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_168]) ).
cnf(c_0_229,negated_conjecture,
( ~ epred6_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_201,c_0_144]),c_0_33]),c_0_154]) ).
cnf(c_0_230,negated_conjecture,
( ~ epred13_0
| ~ epred37_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_202,c_0_37]),c_0_34]),c_0_63]) ).
cnf(c_0_231,negated_conjecture,
( ~ epred17_0
| ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_125]),c_0_22]),c_0_117]) ).
cnf(c_0_232,negated_conjecture,
( ~ epred27_0
| ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_204,c_0_37]),c_0_22]),c_0_134]) ).
cnf(c_0_233,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_205,c_0_136]),c_0_133]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp20
| ~ c3_1(a333) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp1
| ~ c1_1(a295) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp1
| c2_1(a295) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_237,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_206,c_0_207,c_0_208,c_0_209,c_0_210,c_0_211,c_0_212,c_0_213,c_0_214,c_0_215,c_0_216,c_0_217,c_0_121,c_0_218,c_0_219,c_0_220,c_0_83,c_0_221,c_0_222,c_0_28,c_0_223,c_0_56,c_0_224,c_0_225,c_0_226,c_0_227,c_0_153,c_0_100,c_0_88,c_0_228,c_0_229,c_0_230,c_0_231,c_0_232,c_0_179,c_0_233,c_0_13,c_0_234,c_0_199,c_0_32,c_0_25,c_0_26,c_0_137,c_0_138,c_0_235,c_0_31,c_0_236,c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 10:59:01 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.70/2.13 % Version: 3.5.1
% 9.70/2.13 % Preprocessing class: FSLSSLSMSSSNFFN.
% 9.70/2.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.70/2.13 % Starting new_bool_3 with 300s (1) cores
% 9.70/2.13 % Starting new_bool_1 with 300s (1) cores
% 9.70/2.13 % Starting sh5l with 300s (1) cores
% 9.70/2.13 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 4120750 completed with status 0
% 9.70/2.13 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 9.70/2.13 % Preprocessing class: FSLSSLSMSSSNFFN.
% 9.70/2.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.70/2.13 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.70/2.13 % No SInE strategy applied
% 9.70/2.13 % Search class: FGHNF-FSMM00-SFFFFFNN
% 9.70/2.13 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 9.70/2.13 % Starting SubtermCWHack with 151s (1) cores
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 9.70/2.13 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 9.70/2.13 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 9.70/2.13 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 4120757 completed with status 0
% 9.70/2.13 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 9.70/2.13 % Preprocessing class: FSLSSLSMSSSNFFN.
% 9.70/2.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 9.70/2.13 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.70/2.13 % No SInE strategy applied
% 9.70/2.13 % Search class: FGHNF-FSMM00-SFFFFFNN
% 9.70/2.13 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 9.70/2.13 % Starting SubtermCWHack with 151s (1) cores
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 9.70/2.13 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 9.70/2.13 % Preprocessing time : 0.002 s
% 9.70/2.13 % SatCheck found unsatisfiable ground set
% 9.70/2.13
% 9.70/2.13 % Proof found!
% 9.70/2.13 % SZS status Theorem
% 9.70/2.13 % SZS output start CNFRefutation
% See solution above
% 9.70/2.13 % Parsed axioms : 1
% 9.70/2.13 % Removed by relevancy pruning/SinE : 0
% 9.70/2.13 % Initial clauses : 180
% 9.70/2.13 % Removed in clause preprocessing : 0
% 9.70/2.13 % Initial clauses in saturation : 180
% 9.70/2.13 % Processed clauses : 8521
% 9.70/2.13 % ...of these trivial : 0
% 9.70/2.13 % ...subsumed : 3521
% 9.70/2.13 % ...remaining for further processing : 5000
% 9.70/2.13 % Other redundant clauses eliminated : 0
% 9.70/2.13 % Clauses deleted for lack of memory : 0
% 9.70/2.13 % Backward-subsumed : 2566
% 9.70/2.13 % Backward-rewritten : 236
% 9.70/2.13 % Generated clauses : 44994
% 9.70/2.13 % ...of the previous two non-redundant : 42335
% 9.70/2.13 % ...aggressively subsumed : 0
% 9.70/2.13 % Contextual simplify-reflections : 689
% 9.70/2.13 % Paramodulations : 44915
% 9.70/2.13 % Factorizations : 0
% 9.70/2.13 % NegExts : 0
% 9.70/2.13 % Equation resolutions : 0
% 9.70/2.13 % Disequality decompositions : 0
% 9.70/2.13 % Total rewrite steps : 264
% 9.70/2.13 % ...of those cached : 261
% 9.70/2.13 % Propositional unsat checks : 1
% 9.70/2.13 % Propositional check models : 0
% 9.70/2.13 % Propositional check unsatisfiable : 1
% 9.70/2.13 % Propositional clauses : 33935
% 9.70/2.13 % Propositional clauses after purity: 30745
% 9.70/2.13 % Propositional unsat core size : 48
% 9.70/2.13 % Propositional preprocessing time : 0.000
% 9.70/2.13 % Propositional encoding time : 0.016
% 9.70/2.13 % Propositional solver time : 0.029
% 9.70/2.13 % Success case prop preproc time : 0.000
% 9.70/2.13 % Success case prop encoding time : 0.016
% 9.70/2.13 % Success case prop solver time : 0.029
% 9.70/2.13 % Current number of processed clauses : 2166
% 9.70/2.13 % Positive orientable unit clauses : 3
% 9.70/2.13 % Positive unorientable unit clauses: 0
% 9.70/2.13 % Negative unit clauses : 1
% 9.70/2.13 % Non-unit-clauses : 2162
% 9.70/2.13 % Current number of unprocessed clauses: 31769
% 9.70/2.13 % ...number of literals in the above : 203886
% 9.70/2.13 % Current number of archived formulas : 0
% 9.70/2.13 % Current number of archived clauses : 2802
% 9.70/2.13 % Clause-clause subsumption calls (NU) : 3672837
% 9.70/2.13 % Rec. Clause-clause subsumption calls : 402229
% 9.70/2.13 % Non-unit clause-clause subsumptions : 6803
% 9.70/2.13 % Unit Clause-clause subsumption calls : 2273
% 9.70/2.13 % Rewrite failures with RHS unbound : 0
% 9.70/2.13 % BW rewrite match attempts : 3
% 9.70/2.13 % BW rewrite match successes : 3
% 9.70/2.13 % Condensation attempts : 8521
% 9.70/2.13 % Condensation successes : 0
% 9.70/2.13 % Termbank termtop insertions : 413389
% 9.70/2.13 % Search garbage collected termcells : 1735
% 9.70/2.13
% 9.70/2.13 % -------------------------------------------------
% 9.70/2.13 % User time : 1.334 s
% 9.70/2.13 % System time : 0.040 s
% 9.70/2.13 % Total time : 1.374 s
% 9.70/2.13 % Maximum resident set size: 4652 pages
% 9.70/2.13
% 9.70/2.13 % -------------------------------------------------
% 9.70/2.13 % User time : 7.028 s
% 9.70/2.13 % System time : 0.143 s
% 9.70/2.13 % Total time : 7.171 s
% 9.70/2.13 % Maximum resident set size: 4864 pages
% 9.70/2.13 % E exiting
%------------------------------------------------------------------------------