%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 : Fri Sep 25 03:40:12 PM UTC 2026
% Result : Theorem 1.09s 1.49s
% Output : CNFRefutation 4.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f275ERROR: Could not build tree for root c_14768ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) )
| hskp32
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| ~ c1_1(X80) ) ) )
& ( hskp52
| hskp31
| hskp40 )
& ( hskp46
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( c0_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) ) )
& ( hskp30
| ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77) ) )
| hskp29 )
& ( hskp28
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c0_1(X76)
| c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c1_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( c0_1(X73)
| c2_1(X73)
| ~ c3_1(X73) ) )
| hskp46 )
& ( hskp4
| hskp27
| hskp6 )
& ( hskp26
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c0_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c0_1(X71)
| ~ c3_1(X71) ) ) )
& ( hskp51
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c3_1(X66)
| ~ c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| ~ c3_1(X65)
| ~ c2_1(X65) ) )
| hskp25
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| hskp24
| hskp39 )
& ( hskp34
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) ) )
& ( hskp23
| hskp22
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) ) )
& ( hskp21
| hskp20
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ) ) )
& ( hskp50
| hskp19
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ) ) )
& ( hskp18
| hskp17
| hskp16 )
& ( hskp15
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ~ c1_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c3_1(X56)
| ~ c2_1(X56) ) ) )
& ( ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c2_1(X55) ) )
| hskp49
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c0_1(X54)
| c2_1(X54) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| c3_1(X52) ) )
| hskp14 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c1_1(X51)
| ~ c2_1(X51) ) )
| hskp48
| hskp13 )
& ( hskp47
| ! [X50] :
( ndr1_0
=> ( c3_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( c3_1(X47)
| c2_1(X47)
| c1_1(X47) ) )
| hskp12 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) ) )
| hskp46
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( hskp45
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c0_1(X43)
| c2_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) ) )
| hskp11
| hskp44 )
& ( ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c3_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c0_1(X40)
| ~ c2_1(X40) ) )
| hskp10 )
& ( ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| c2_1(X39)
| c1_1(X39) ) )
| hskp43
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| ~ c0_1(X36)
| ~ c2_1(X36) ) )
| hskp42 )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp41
| hskp9
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| ~ c2_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| ~ c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c0_1(X29)
| ~ c1_1(X29)
| c2_1(X29) ) ) )
& ( hskp38
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c1_1(X27)
| ~ c2_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( c1_1(X25)
| ~ c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp40
| hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ) ) )
& ( hskp39
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| c3_1(X22) ) ) )
& ( hskp6
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| ~ c3_1(X21)
| ~ c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| hskp38
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c3_1(X18) ) ) )
& ( hskp5
| ! [X17] :
( ndr1_0
=> ( c2_1(X17)
| ~ c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| ~ c2_1(X16)
| c3_1(X16) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| ~ c3_1(X15)
| ~ c2_1(X15) ) )
| hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| c0_1(X14)
| c3_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c0_1(X13)
| ~ c2_1(X13)
| c1_1(X13) ) )
| hskp37
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| ~ c0_1(X12) ) ) )
& ( hskp3
| hskp34
| hskp36 )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c1_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| ~ c0_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| ~ c2_1(X9)
| c3_1(X9) ) )
| hskp35 )
& ( ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c1_1(X7) ) )
| hskp34 )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| ~ c1_1(X6)
| c3_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c3_1(X5)
| c2_1(X5) ) )
| hskp33 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ) )
& ( ( c1_1(a595)
& c2_1(a595)
& ~ c0_1(a595)
& ndr1_0 )
| ~ hskp52 )
& ( ( c3_1(a583)
& c0_1(a583)
& ~ c2_1(a583)
& ndr1_0 )
| ~ hskp51 )
& ( ( c1_1(a574)
& c0_1(a574)
& ~ c3_1(a574)
& ndr1_0 )
| ~ hskp50 )
& ( ( c2_1(a568)
& ~ c1_1(a568)
& ~ c0_1(a568)
& ndr1_0 )
| ~ hskp49 )
& ( ( c1_1(a566)
& ~ c2_1(a566)
& ~ c3_1(a566)
& ndr1_0 )
| ~ hskp48 )
& ( ( c1_1(a564)
& c0_1(a564)
& ~ c2_1(a564)
& ndr1_0 )
| ~ hskp47 )
& ( ( c1_1(a562)
& ~ c0_1(a562)
& ~ c3_1(a562)
& ndr1_0 )
| ~ hskp46 )
& ( ( c0_1(a561)
& ~ c2_1(a561)
& ~ c3_1(a561)
& ndr1_0 )
| ~ hskp45 )
& ( ( c2_1(a559)
& c0_1(a559)
& ~ c3_1(a559)
& ndr1_0 )
| ~ hskp44 )
& ( ( c0_1(a557)
& ~ c1_1(a557)
& c3_1(a557)
& ndr1_0 )
| ~ hskp43 )
& ( ( c3_1(a556)
& c1_1(a556)
& ~ c2_1(a556)
& ndr1_0 )
| ~ hskp42 )
& ( ( c0_1(a555)
& c3_1(a555)
& ~ c2_1(a555)
& ndr1_0 )
| ~ hskp41 )
& ( ( c2_1(a551)
& ~ c0_1(a551)
& c3_1(a551)
& ndr1_0 )
| ~ hskp40 )
& ( ( c1_1(a549)
& c2_1(a549)
& c3_1(a549)
& ndr1_0 )
| ~ hskp39 )
& ( ( c0_1(a547)
& c1_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp38 )
& ( ( c1_1(a544)
& ~ c3_1(a544)
& ~ c2_1(a544)
& ndr1_0 )
| ~ hskp37 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp36 )
& ( ( c3_1(a538)
& c1_1(a538)
& c2_1(a538)
& ndr1_0 )
| ~ hskp35 )
& ( ( c3_1(a537)
& ~ c1_1(a537)
& c0_1(a537)
& ndr1_0 )
| ~ hskp34 )
& ( ( c0_1(a536)
& c2_1(a536)
& c1_1(a536)
& ndr1_0 )
| ~ hskp33 )
& ( ( ~ c2_1(a596)
& ~ c3_1(a596)
& c0_1(a596)
& ndr1_0 )
| ~ hskp32 )
& ( ( ~ c1_1(a594)
& ~ c3_1(a594)
& ~ c0_1(a594)
& ndr1_0 )
| ~ hskp31 )
& ( ( ~ c0_1(a591)
& ~ c2_1(a591)
& c1_1(a591)
& ndr1_0 )
| ~ hskp30 )
& ( ( ~ c1_1(a590)
& ~ c0_1(a590)
& ~ c3_1(a590)
& ndr1_0 )
| ~ hskp29 )
& ( ( ~ c0_1(a589)
& c3_1(a589)
& c2_1(a589)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a586)
& c1_1(a586)
& ~ c0_1(a586)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a584)
& c1_1(a584)
& c0_1(a584)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a582)
& ~ c2_1(a582)
& ~ c3_1(a582)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a581)
& ~ c1_1(a581)
& c2_1(a581)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c1_1(a578)
& ~ c0_1(a578)
& c3_1(a578)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c0_1(a577)
& c1_1(a577)
& ~ c3_1(a577)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a576)
& ~ c0_1(a576)
& c1_1(a576)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a575)
& ~ c0_1(a575)
& ~ c2_1(a575)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a573)
& ~ c0_1(a573)
& ~ c2_1(a573)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a572)
& c0_1(a572)
& ~ c3_1(a572)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& c3_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c0_1(a570)
& c1_1(a570)
& c3_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a569)
& ~ c1_1(a569)
& ~ c0_1(a569)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a567)
& ~ c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a565)
& c2_1(a565)
& c3_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a563)
& ~ c0_1(a563)
& c3_1(a563)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a560)
& ~ c3_1(a560)
& c1_1(a560)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a558)
& c3_1(a558)
& ~ c1_1(a558)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a554)
& ~ c2_1(a554)
& ~ c0_1(a554)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a552)
& ~ c1_1(a552)
& ~ c3_1(a552)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a550)
& c3_1(a550)
& c0_1(a550)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c0_1(a548)
& c3_1(a548)
& ~ c2_1(a548)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a546)
& c2_1(a546)
& ~ c3_1(a546)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a545)
& c1_1(a545)
& ~ c2_1(a545)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a543)
& ~ c0_1(a543)
& ~ c1_1(a543)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a540)
& c1_1(a540)
& c2_1(a540)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a539)
& ~ c1_1(a539)
& ~ c2_1(a539)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a535)
& c0_1(a535)
& c1_1(a535)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) )
| hskp32
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| ~ c1_1(X80) ) ) )
& ( hskp52
| hskp31
| hskp40 )
& ( hskp46
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( c0_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) ) )
& ( hskp30
| ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77) ) )
| hskp29 )
& ( hskp28
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c0_1(X76)
| c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c1_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( c0_1(X73)
| c2_1(X73)
| ~ c3_1(X73) ) )
| hskp46 )
& ( hskp4
| hskp27
| hskp6 )
& ( hskp26
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c0_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c0_1(X71)
| ~ c3_1(X71) ) ) )
& ( hskp51
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c3_1(X66)
| ~ c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| ~ c3_1(X65)
| ~ c2_1(X65) ) )
| hskp25
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| hskp24
| hskp39 )
& ( hskp34
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) ) )
& ( hskp23
| hskp22
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) ) )
& ( hskp21
| hskp20
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ) ) )
& ( hskp50
| hskp19
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ) ) )
& ( hskp18
| hskp17
| hskp16 )
& ( hskp15
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ~ c1_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c3_1(X56)
| ~ c2_1(X56) ) ) )
& ( ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c2_1(X55) ) )
| hskp49
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c0_1(X54)
| c2_1(X54) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| c3_1(X52) ) )
| hskp14 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c1_1(X51)
| ~ c2_1(X51) ) )
| hskp48
| hskp13 )
& ( hskp47
| ! [X50] :
( ndr1_0
=> ( c3_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( c3_1(X47)
| c2_1(X47)
| c1_1(X47) ) )
| hskp12 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) ) )
| hskp46
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( hskp45
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c0_1(X43)
| c2_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) ) )
| hskp11
| hskp44 )
& ( ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c3_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c0_1(X40)
| ~ c2_1(X40) ) )
| hskp10 )
& ( ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| c2_1(X39)
| c1_1(X39) ) )
| hskp43
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| ~ c0_1(X36)
| ~ c2_1(X36) ) )
| hskp42 )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp41
| hskp9
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| ~ c2_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| ~ c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c0_1(X29)
| ~ c1_1(X29)
| c2_1(X29) ) ) )
& ( hskp38
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c1_1(X27)
| ~ c2_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( c1_1(X25)
| ~ c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp40
| hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ) ) )
& ( hskp39
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| c3_1(X22) ) ) )
& ( hskp6
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| ~ c3_1(X21)
| ~ c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| hskp38
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c3_1(X18) ) ) )
& ( hskp5
| ! [X17] :
( ndr1_0
=> ( c2_1(X17)
| ~ c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| ~ c2_1(X16)
| c3_1(X16) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| ~ c3_1(X15)
| ~ c2_1(X15) ) )
| hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| c0_1(X14)
| c3_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c0_1(X13)
| ~ c2_1(X13)
| c1_1(X13) ) )
| hskp37
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| ~ c0_1(X12) ) ) )
& ( hskp3
| hskp34
| hskp36 )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c1_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| ~ c0_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| ~ c2_1(X9)
| c3_1(X9) ) )
| hskp35 )
& ( ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c1_1(X7) ) )
| hskp34 )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| ~ c1_1(X6)
| c3_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c3_1(X5)
| c2_1(X5) ) )
| hskp33 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ) )
& ( ( c1_1(a595)
& c2_1(a595)
& ~ c0_1(a595)
& ndr1_0 )
| ~ hskp52 )
& ( ( c3_1(a583)
& c0_1(a583)
& ~ c2_1(a583)
& ndr1_0 )
| ~ hskp51 )
& ( ( c1_1(a574)
& c0_1(a574)
& ~ c3_1(a574)
& ndr1_0 )
| ~ hskp50 )
& ( ( c2_1(a568)
& ~ c1_1(a568)
& ~ c0_1(a568)
& ndr1_0 )
| ~ hskp49 )
& ( ( c1_1(a566)
& ~ c2_1(a566)
& ~ c3_1(a566)
& ndr1_0 )
| ~ hskp48 )
& ( ( c1_1(a564)
& c0_1(a564)
& ~ c2_1(a564)
& ndr1_0 )
| ~ hskp47 )
& ( ( c1_1(a562)
& ~ c0_1(a562)
& ~ c3_1(a562)
& ndr1_0 )
| ~ hskp46 )
& ( ( c0_1(a561)
& ~ c2_1(a561)
& ~ c3_1(a561)
& ndr1_0 )
| ~ hskp45 )
& ( ( c2_1(a559)
& c0_1(a559)
& ~ c3_1(a559)
& ndr1_0 )
| ~ hskp44 )
& ( ( c0_1(a557)
& ~ c1_1(a557)
& c3_1(a557)
& ndr1_0 )
| ~ hskp43 )
& ( ( c3_1(a556)
& c1_1(a556)
& ~ c2_1(a556)
& ndr1_0 )
| ~ hskp42 )
& ( ( c0_1(a555)
& c3_1(a555)
& ~ c2_1(a555)
& ndr1_0 )
| ~ hskp41 )
& ( ( c2_1(a551)
& ~ c0_1(a551)
& c3_1(a551)
& ndr1_0 )
| ~ hskp40 )
& ( ( c1_1(a549)
& c2_1(a549)
& c3_1(a549)
& ndr1_0 )
| ~ hskp39 )
& ( ( c0_1(a547)
& c1_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp38 )
& ( ( c1_1(a544)
& ~ c3_1(a544)
& ~ c2_1(a544)
& ndr1_0 )
| ~ hskp37 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp36 )
& ( ( c3_1(a538)
& c1_1(a538)
& c2_1(a538)
& ndr1_0 )
| ~ hskp35 )
& ( ( c3_1(a537)
& ~ c1_1(a537)
& c0_1(a537)
& ndr1_0 )
| ~ hskp34 )
& ( ( c0_1(a536)
& c2_1(a536)
& c1_1(a536)
& ndr1_0 )
| ~ hskp33 )
& ( ( ~ c2_1(a596)
& ~ c3_1(a596)
& c0_1(a596)
& ndr1_0 )
| ~ hskp32 )
& ( ( ~ c1_1(a594)
& ~ c3_1(a594)
& ~ c0_1(a594)
& ndr1_0 )
| ~ hskp31 )
& ( ( ~ c0_1(a591)
& ~ c2_1(a591)
& c1_1(a591)
& ndr1_0 )
| ~ hskp30 )
& ( ( ~ c1_1(a590)
& ~ c0_1(a590)
& ~ c3_1(a590)
& ndr1_0 )
| ~ hskp29 )
& ( ( ~ c0_1(a589)
& c3_1(a589)
& c2_1(a589)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a586)
& c1_1(a586)
& ~ c0_1(a586)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a584)
& c1_1(a584)
& c0_1(a584)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a582)
& ~ c2_1(a582)
& ~ c3_1(a582)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a581)
& ~ c1_1(a581)
& c2_1(a581)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c1_1(a578)
& ~ c0_1(a578)
& c3_1(a578)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c0_1(a577)
& c1_1(a577)
& ~ c3_1(a577)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a576)
& ~ c0_1(a576)
& c1_1(a576)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a575)
& ~ c0_1(a575)
& ~ c2_1(a575)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a573)
& ~ c0_1(a573)
& ~ c2_1(a573)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a572)
& c0_1(a572)
& ~ c3_1(a572)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& c3_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c0_1(a570)
& c1_1(a570)
& c3_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a569)
& ~ c1_1(a569)
& ~ c0_1(a569)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a567)
& ~ c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a565)
& c2_1(a565)
& c3_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a563)
& ~ c0_1(a563)
& c3_1(a563)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a560)
& ~ c3_1(a560)
& c1_1(a560)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a558)
& c3_1(a558)
& ~ c1_1(a558)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a554)
& ~ c2_1(a554)
& ~ c0_1(a554)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a552)
& ~ c1_1(a552)
& ~ c3_1(a552)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a550)
& c3_1(a550)
& c0_1(a550)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c0_1(a548)
& c3_1(a548)
& ~ c2_1(a548)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a546)
& c2_1(a546)
& ~ c3_1(a546)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a545)
& c1_1(a545)
& ~ c2_1(a545)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a543)
& ~ c0_1(a543)
& ~ c1_1(a543)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a540)
& c1_1(a540)
& c2_1(a540)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a539)
& ~ c1_1(a539)
& ~ c2_1(a539)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a535)
& c0_1(a535)
& c1_1(a535)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ! [X81] :
( ndr1_0
=> ( ~ c0_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) )
| hskp32
| ! [X80] :
( ndr1_0
=> ( ~ c2_1(X80)
| c3_1(X80)
| ~ c1_1(X80) ) ) )
& ( hskp52
| hskp31
| hskp40 )
& ( hskp46
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) ) )
| ! [X78] :
( ndr1_0
=> ( c0_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) ) )
& ( hskp30
| ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77) ) )
| hskp29 )
& ( hskp28
| ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c0_1(X76)
| c1_1(X76) ) )
| ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) ) )
& ( ! [X74] :
( ndr1_0
=> ( ~ c3_1(X74)
| ~ c1_1(X74)
| c2_1(X74) ) )
| ! [X73] :
( ndr1_0
=> ( c0_1(X73)
| c2_1(X73)
| ~ c3_1(X73) ) )
| hskp46 )
& ( hskp4
| hskp27
| hskp6 )
& ( hskp26
| ! [X72] :
( ndr1_0
=> ( ~ c1_1(X72)
| c3_1(X72)
| c0_1(X72) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c0_1(X71)
| ~ c3_1(X71) ) ) )
& ( hskp51
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c1_1(X70)
| ~ c0_1(X70) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| c2_1(X68)
| ~ c0_1(X68) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c3_1(X66)
| ~ c0_1(X66) ) ) )
& ( ! [X65] :
( ndr1_0
=> ( ~ c1_1(X65)
| ~ c3_1(X65)
| ~ c2_1(X65) ) )
| hskp25
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( ~ c0_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| hskp24
| hskp39 )
& ( hskp34
| ! [X62] :
( ndr1_0
=> ( ~ c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) ) )
& ( hskp23
| hskp22
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) ) )
& ( hskp21
| hskp20
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ) ) )
& ( hskp50
| hskp19
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ) ) )
& ( hskp18
| hskp17
| hskp16 )
& ( hskp15
| ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ~ c1_1(X57)
| c3_1(X57) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c3_1(X56)
| ~ c2_1(X56) ) ) )
& ( ! [X55] :
( ndr1_0
=> ( ~ c0_1(X55)
| c3_1(X55)
| c2_1(X55) ) )
| hskp49
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c0_1(X54)
| c2_1(X54) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( ~ c1_1(X53)
| c0_1(X53)
| c2_1(X53) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| c3_1(X52) ) )
| hskp14 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c1_1(X51)
| ~ c2_1(X51) ) )
| hskp48
| hskp13 )
& ( hskp47
| ! [X50] :
( ndr1_0
=> ( c3_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X49] :
( ndr1_0
=> ( ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c2_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| ! [X47] :
( ndr1_0
=> ( c3_1(X47)
| c2_1(X47)
| c1_1(X47) ) )
| hskp12 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) ) )
| hskp46
| ! [X45] :
( ndr1_0
=> ( ~ c1_1(X45)
| c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( hskp45
| ! [X44] :
( ndr1_0
=> ( ~ c1_1(X44)
| c2_1(X44)
| ~ c0_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( c3_1(X43)
| c0_1(X43)
| c2_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) ) )
| hskp11
| hskp44 )
& ( ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c3_1(X41)
| ~ c0_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| c0_1(X40)
| ~ c2_1(X40) ) )
| hskp10 )
& ( ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| c2_1(X39)
| c1_1(X39) ) )
| hskp43
| ! [X38] :
( ndr1_0
=> ( ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| ~ c3_1(X37)
| ~ c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c1_1(X36)
| ~ c0_1(X36)
| ~ c2_1(X36) ) )
| hskp42 )
& ( ! [X35] :
( ndr1_0
=> ( ~ c3_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| c2_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c3_1(X33)
| ~ c2_1(X33)
| c1_1(X33) ) ) )
& ( hskp41
| hskp9
| ! [X32] :
( ndr1_0
=> ( ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c3_1(X31)
| ~ c2_1(X31)
| c0_1(X31) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| ~ c3_1(X30)
| c0_1(X30) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c0_1(X29)
| ~ c1_1(X29)
| c2_1(X29) ) ) )
& ( hskp38
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c1_1(X27)
| ~ c2_1(X27) ) ) )
& ( hskp8
| ! [X26] :
( ndr1_0
=> ( ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( c1_1(X25)
| ~ c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp40
| hskp7
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ) ) )
& ( hskp39
| ! [X23] :
( ndr1_0
=> ( ~ c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| c3_1(X22) ) ) )
& ( hskp6
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| ~ c3_1(X21)
| ~ c1_1(X21) ) )
| ! [X20] :
( ndr1_0
=> ( c2_1(X20)
| c1_1(X20)
| c0_1(X20) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( ~ c3_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
| hskp38
| ! [X18] :
( ndr1_0
=> ( c2_1(X18)
| c1_1(X18)
| c3_1(X18) ) ) )
& ( hskp5
| ! [X17] :
( ndr1_0
=> ( c2_1(X17)
| ~ c3_1(X17)
| c1_1(X17) ) )
| ! [X16] :
( ndr1_0
=> ( ~ c1_1(X16)
| ~ c2_1(X16)
| c3_1(X16) ) ) )
& ( ! [X15] :
( ndr1_0
=> ( ~ c1_1(X15)
| ~ c3_1(X15)
| ~ c2_1(X15) ) )
| hskp4
| ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| c0_1(X14)
| c3_1(X14) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( ~ c0_1(X13)
| ~ c2_1(X13)
| c1_1(X13) ) )
| hskp37
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| ~ c0_1(X12) ) ) )
& ( hskp3
| hskp34
| hskp36 )
& ( hskp2
| hskp1
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c1_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| ~ c0_1(X10) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c1_1(X9)
| ~ c2_1(X9)
| c3_1(X9) ) )
| hskp35 )
& ( ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c2_1(X8)
| c1_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c1_1(X7) ) )
| hskp34 )
& ( ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| ~ c1_1(X6)
| c3_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c3_1(X5)
| c2_1(X5) ) )
| hskp33 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c2_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( ~ c3_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) ) )
& ( hskp0
| ! [X1] :
( ndr1_0
=> ( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ) )
& ( ( c1_1(a595)
& c2_1(a595)
& ~ c0_1(a595)
& ndr1_0 )
| ~ hskp52 )
& ( ( c3_1(a583)
& c0_1(a583)
& ~ c2_1(a583)
& ndr1_0 )
| ~ hskp51 )
& ( ( c1_1(a574)
& c0_1(a574)
& ~ c3_1(a574)
& ndr1_0 )
| ~ hskp50 )
& ( ( c2_1(a568)
& ~ c1_1(a568)
& ~ c0_1(a568)
& ndr1_0 )
| ~ hskp49 )
& ( ( c1_1(a566)
& ~ c2_1(a566)
& ~ c3_1(a566)
& ndr1_0 )
| ~ hskp48 )
& ( ( c1_1(a564)
& c0_1(a564)
& ~ c2_1(a564)
& ndr1_0 )
| ~ hskp47 )
& ( ( c1_1(a562)
& ~ c0_1(a562)
& ~ c3_1(a562)
& ndr1_0 )
| ~ hskp46 )
& ( ( c0_1(a561)
& ~ c2_1(a561)
& ~ c3_1(a561)
& ndr1_0 )
| ~ hskp45 )
& ( ( c2_1(a559)
& c0_1(a559)
& ~ c3_1(a559)
& ndr1_0 )
| ~ hskp44 )
& ( ( c0_1(a557)
& ~ c1_1(a557)
& c3_1(a557)
& ndr1_0 )
| ~ hskp43 )
& ( ( c3_1(a556)
& c1_1(a556)
& ~ c2_1(a556)
& ndr1_0 )
| ~ hskp42 )
& ( ( c0_1(a555)
& c3_1(a555)
& ~ c2_1(a555)
& ndr1_0 )
| ~ hskp41 )
& ( ( c2_1(a551)
& ~ c0_1(a551)
& c3_1(a551)
& ndr1_0 )
| ~ hskp40 )
& ( ( c1_1(a549)
& c2_1(a549)
& c3_1(a549)
& ndr1_0 )
| ~ hskp39 )
& ( ( c0_1(a547)
& c1_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp38 )
& ( ( c1_1(a544)
& ~ c3_1(a544)
& ~ c2_1(a544)
& ndr1_0 )
| ~ hskp37 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp36 )
& ( ( c3_1(a538)
& c1_1(a538)
& c2_1(a538)
& ndr1_0 )
| ~ hskp35 )
& ( ( c3_1(a537)
& ~ c1_1(a537)
& c0_1(a537)
& ndr1_0 )
| ~ hskp34 )
& ( ( c0_1(a536)
& c2_1(a536)
& c1_1(a536)
& ndr1_0 )
| ~ hskp33 )
& ( ( ~ c2_1(a596)
& ~ c3_1(a596)
& c0_1(a596)
& ndr1_0 )
| ~ hskp32 )
& ( ( ~ c1_1(a594)
& ~ c3_1(a594)
& ~ c0_1(a594)
& ndr1_0 )
| ~ hskp31 )
& ( ( ~ c0_1(a591)
& ~ c2_1(a591)
& c1_1(a591)
& ndr1_0 )
| ~ hskp30 )
& ( ( ~ c1_1(a590)
& ~ c0_1(a590)
& ~ c3_1(a590)
& ndr1_0 )
| ~ hskp29 )
& ( ( ~ c0_1(a589)
& c3_1(a589)
& c2_1(a589)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a586)
& c1_1(a586)
& ~ c0_1(a586)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a584)
& c1_1(a584)
& c0_1(a584)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a582)
& ~ c2_1(a582)
& ~ c3_1(a582)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a581)
& ~ c1_1(a581)
& c2_1(a581)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c1_1(a578)
& ~ c0_1(a578)
& c3_1(a578)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c0_1(a577)
& c1_1(a577)
& ~ c3_1(a577)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a576)
& ~ c0_1(a576)
& c1_1(a576)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a575)
& ~ c0_1(a575)
& ~ c2_1(a575)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a573)
& ~ c0_1(a573)
& ~ c2_1(a573)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a572)
& c0_1(a572)
& ~ c3_1(a572)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& c3_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c0_1(a570)
& c1_1(a570)
& c3_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a569)
& ~ c1_1(a569)
& ~ c0_1(a569)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a567)
& ~ c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a565)
& c2_1(a565)
& c3_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a563)
& ~ c0_1(a563)
& c3_1(a563)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a560)
& ~ c3_1(a560)
& c1_1(a560)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a558)
& c3_1(a558)
& ~ c1_1(a558)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a554)
& ~ c2_1(a554)
& ~ c0_1(a554)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a552)
& ~ c1_1(a552)
& ~ c3_1(a552)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a550)
& c3_1(a550)
& c0_1(a550)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c0_1(a548)
& c3_1(a548)
& ~ c2_1(a548)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a546)
& c2_1(a546)
& ~ c3_1(a546)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a545)
& c1_1(a545)
& ~ c2_1(a545)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a543)
& ~ c0_1(a543)
& ~ c1_1(a543)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a540)
& c1_1(a540)
& c2_1(a540)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a539)
& ~ c1_1(a539)
& ~ c2_1(a539)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a535)
& c0_1(a535)
& c1_1(a535)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ! [X81] :
( ~ ndr1_0
| ~ c0_1(X81)
| ~ c1_1(X81)
| c3_1(X81) )
| hskp32
| ! [X80] :
( ~ ndr1_0
| ~ c2_1(X80)
| c3_1(X80)
| ~ c1_1(X80) ) )
& ( hskp52
| hskp31
| hskp40 )
& ( hskp46
| ! [X79] :
( ~ ndr1_0
| ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) )
| ! [X78] :
( ~ ndr1_0
| c0_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) )
& ( hskp30
| ! [X77] :
( ~ ndr1_0
| c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77) )
| hskp29 )
& ( hskp28
| ! [X76] :
( ~ ndr1_0
| c2_1(X76)
| c0_1(X76)
| c1_1(X76) )
| ! [X75] :
( ~ ndr1_0
| c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) )
& ( ! [X74] :
( ~ ndr1_0
| ~ c3_1(X74)
| ~ c1_1(X74)
| c2_1(X74) )
| ! [X73] :
( ~ ndr1_0
| c0_1(X73)
| c2_1(X73)
| ~ c3_1(X73) )
| hskp46 )
& ( hskp4
| hskp27
| hskp6 )
& ( hskp26
| ! [X72] :
( ~ ndr1_0
| ~ c1_1(X72)
| c3_1(X72)
| c0_1(X72) )
| ! [X71] :
( ~ ndr1_0
| c1_1(X71)
| c0_1(X71)
| ~ c3_1(X71) ) )
& ( hskp51
| ! [X70] :
( ~ ndr1_0
| ~ c3_1(X70)
| c1_1(X70)
| ~ c0_1(X70) )
| ! [X69] :
( ~ ndr1_0
| c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) )
& ( ! [X68] :
( ~ ndr1_0
| ~ c3_1(X68)
| c2_1(X68)
| ~ c0_1(X68) )
| ! [X67] :
( ~ ndr1_0
| c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) )
| ! [X66] :
( ~ ndr1_0
| c1_1(X66)
| ~ c3_1(X66)
| ~ c0_1(X66) ) )
& ( ! [X65] :
( ~ ndr1_0
| ~ c1_1(X65)
| ~ c3_1(X65)
| ~ c2_1(X65) )
| hskp25
| ! [X64] :
( ~ ndr1_0
| c2_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) )
& ( ! [X63] :
( ~ ndr1_0
| ~ c0_1(X63)
| c2_1(X63)
| c3_1(X63) )
| hskp24
| hskp39 )
& ( hskp34
| ! [X62] :
( ~ ndr1_0
| ~ c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) )
| ! [X61] :
( ~ ndr1_0
| c0_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) )
& ( hskp23
| hskp22
| ! [X60] :
( ~ ndr1_0
| ~ c0_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
& ( hskp21
| hskp20
| ! [X59] :
( ~ ndr1_0
| ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ) )
& ( hskp50
| hskp19
| ! [X58] :
( ~ ndr1_0
| c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ) )
& ( hskp18
| hskp17
| hskp16 )
& ( hskp15
| ! [X57] :
( ~ ndr1_0
| c2_1(X57)
| ~ c1_1(X57)
| c3_1(X57) )
| ! [X56] :
( ~ ndr1_0
| c1_1(X56)
| ~ c3_1(X56)
| ~ c2_1(X56) ) )
& ( ! [X55] :
( ~ ndr1_0
| ~ c0_1(X55)
| c3_1(X55)
| c2_1(X55) )
| hskp49
| ! [X54] :
( ~ ndr1_0
| ~ c3_1(X54)
| ~ c0_1(X54)
| c2_1(X54) ) )
& ( ! [X53] :
( ~ ndr1_0
| ~ c1_1(X53)
| c0_1(X53)
| c2_1(X53) )
| ! [X52] :
( ~ ndr1_0
| c1_1(X52)
| c2_1(X52)
| c3_1(X52) )
| hskp14 )
& ( ! [X51] :
( ~ ndr1_0
| c0_1(X51)
| c1_1(X51)
| ~ c2_1(X51) )
| hskp48
| hskp13 )
& ( hskp47
| ! [X50] :
( ~ ndr1_0
| c3_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) )
| ! [X49] :
( ~ ndr1_0
| ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) )
& ( ! [X48] :
( ~ ndr1_0
| c2_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) )
| ! [X47] :
( ~ ndr1_0
| c3_1(X47)
| c2_1(X47)
| c1_1(X47) )
| hskp12 )
& ( ! [X46] :
( ~ ndr1_0
| c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) )
| hskp46
| ! [X45] :
( ~ ndr1_0
| ~ c1_1(X45)
| c0_1(X45)
| ~ c2_1(X45) ) )
& ( hskp45
| ! [X44] :
( ~ ndr1_0
| ~ c1_1(X44)
| c2_1(X44)
| ~ c0_1(X44) )
| ! [X43] :
( ~ ndr1_0
| c3_1(X43)
| c0_1(X43)
| c2_1(X43) ) )
& ( ! [X42] :
( ~ ndr1_0
| c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) )
| hskp11
| hskp44 )
& ( ! [X41] :
( ~ ndr1_0
| ~ c2_1(X41)
| ~ c3_1(X41)
| ~ c0_1(X41) )
| ! [X40] :
( ~ ndr1_0
| ~ c1_1(X40)
| c0_1(X40)
| ~ c2_1(X40) )
| hskp10 )
& ( ! [X39] :
( ~ ndr1_0
| ~ c0_1(X39)
| c2_1(X39)
| c1_1(X39) )
| hskp43
| ! [X38] :
( ~ ndr1_0
| ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) ) )
& ( ! [X37] :
( ~ ndr1_0
| c2_1(X37)
| ~ c3_1(X37)
| ~ c1_1(X37) )
| ! [X36] :
( ~ ndr1_0
| ~ c1_1(X36)
| ~ c0_1(X36)
| ~ c2_1(X36) )
| hskp42 )
& ( ! [X35] :
( ~ ndr1_0
| ~ c3_1(X35)
| c2_1(X35)
| ~ c1_1(X35) )
| ! [X34] :
( ~ ndr1_0
| c1_1(X34)
| c3_1(X34)
| c2_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c3_1(X33)
| ~ c2_1(X33)
| c1_1(X33) ) )
& ( hskp41
| hskp9
| ! [X32] :
( ~ ndr1_0
| ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ) )
& ( ! [X31] :
( ~ ndr1_0
| c3_1(X31)
| ~ c2_1(X31)
| c0_1(X31) )
| ! [X30] :
( ~ ndr1_0
| c1_1(X30)
| ~ c3_1(X30)
| c0_1(X30) )
| ! [X29] :
( ~ ndr1_0
| ~ c0_1(X29)
| ~ c1_1(X29)
| c2_1(X29) ) )
& ( hskp38
| ! [X28] :
( ~ ndr1_0
| ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X28) )
| ! [X27] :
( ~ ndr1_0
| ~ c3_1(X27)
| c1_1(X27)
| ~ c2_1(X27) ) )
& ( hskp8
| ! [X26] :
( ~ ndr1_0
| ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) )
| ! [X25] :
( ~ ndr1_0
| c1_1(X25)
| ~ c2_1(X25)
| c0_1(X25) ) )
& ( hskp40
| hskp7
| ! [X24] :
( ~ ndr1_0
| ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ) )
& ( hskp39
| ! [X23] :
( ~ ndr1_0
| ~ c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) )
| ! [X22] :
( ~ ndr1_0
| c0_1(X22)
| ~ c1_1(X22)
| c3_1(X22) ) )
& ( hskp6
| ! [X21] :
( ~ ndr1_0
| c0_1(X21)
| ~ c3_1(X21)
| ~ c1_1(X21) )
| ! [X20] :
( ~ ndr1_0
| c2_1(X20)
| c1_1(X20)
| c0_1(X20) ) )
& ( ! [X19] :
( ~ ndr1_0
| ~ c3_1(X19)
| c2_1(X19)
| c0_1(X19) )
| hskp38
| ! [X18] :
( ~ ndr1_0
| c2_1(X18)
| c1_1(X18)
| c3_1(X18) ) )
& ( hskp5
| ! [X17] :
( ~ ndr1_0
| c2_1(X17)
| ~ c3_1(X17)
| c1_1(X17) )
| ! [X16] :
( ~ ndr1_0
| ~ c1_1(X16)
| ~ c2_1(X16)
| c3_1(X16) ) )
& ( ! [X15] :
( ~ ndr1_0
| ~ c1_1(X15)
| ~ c3_1(X15)
| ~ c2_1(X15) )
| hskp4
| ! [X14] :
( ~ ndr1_0
| ~ c1_1(X14)
| c0_1(X14)
| c3_1(X14) ) )
& ( ! [X13] :
( ~ ndr1_0
| ~ c0_1(X13)
| ~ c2_1(X13)
| c1_1(X13) )
| hskp37
| ! [X12] :
( ~ ndr1_0
| c3_1(X12)
| c1_1(X12)
| ~ c0_1(X12) ) )
& ( hskp3
| hskp34
| hskp36 )
& ( hskp2
| hskp1
| ! [X11] :
( ~ ndr1_0
| ~ c0_1(X11)
| ~ c1_1(X11)
| ~ c3_1(X11) ) )
& ( ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| ~ c0_1(X10) )
| ! [X9] :
( ~ ndr1_0
| ~ c1_1(X9)
| ~ c2_1(X9)
| c3_1(X9) )
| hskp35 )
& ( ! [X8] :
( ~ ndr1_0
| c3_1(X8)
| c2_1(X8)
| c1_1(X8) )
| ! [X7] :
( ~ ndr1_0
| ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c1_1(X7) )
| hskp34 )
& ( ! [X6] :
( ~ ndr1_0
| ~ c0_1(X6)
| ~ c1_1(X6)
| c3_1(X6) )
| ! [X5] :
( ~ ndr1_0
| c0_1(X5)
| c3_1(X5)
| c2_1(X5) )
| hskp33 )
& ( ! [X4] :
( ~ ndr1_0
| ~ c2_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) )
| ! [X3] :
( ~ ndr1_0
| ~ c3_1(X3)
| c1_1(X3)
| c2_1(X3) )
| ! [X2] :
( ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) )
& ( hskp0
| ! [X1] :
( ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) )
& ( ( c1_1(a595)
& c2_1(a595)
& ~ c0_1(a595)
& ndr1_0 )
| ~ hskp52 )
& ( ( c3_1(a583)
& c0_1(a583)
& ~ c2_1(a583)
& ndr1_0 )
| ~ hskp51 )
& ( ( c1_1(a574)
& c0_1(a574)
& ~ c3_1(a574)
& ndr1_0 )
| ~ hskp50 )
& ( ( c2_1(a568)
& ~ c1_1(a568)
& ~ c0_1(a568)
& ndr1_0 )
| ~ hskp49 )
& ( ( c1_1(a566)
& ~ c2_1(a566)
& ~ c3_1(a566)
& ndr1_0 )
| ~ hskp48 )
& ( ( c1_1(a564)
& c0_1(a564)
& ~ c2_1(a564)
& ndr1_0 )
| ~ hskp47 )
& ( ( c1_1(a562)
& ~ c0_1(a562)
& ~ c3_1(a562)
& ndr1_0 )
| ~ hskp46 )
& ( ( c0_1(a561)
& ~ c2_1(a561)
& ~ c3_1(a561)
& ndr1_0 )
| ~ hskp45 )
& ( ( c2_1(a559)
& c0_1(a559)
& ~ c3_1(a559)
& ndr1_0 )
| ~ hskp44 )
& ( ( c0_1(a557)
& ~ c1_1(a557)
& c3_1(a557)
& ndr1_0 )
| ~ hskp43 )
& ( ( c3_1(a556)
& c1_1(a556)
& ~ c2_1(a556)
& ndr1_0 )
| ~ hskp42 )
& ( ( c0_1(a555)
& c3_1(a555)
& ~ c2_1(a555)
& ndr1_0 )
| ~ hskp41 )
& ( ( c2_1(a551)
& ~ c0_1(a551)
& c3_1(a551)
& ndr1_0 )
| ~ hskp40 )
& ( ( c1_1(a549)
& c2_1(a549)
& c3_1(a549)
& ndr1_0 )
| ~ hskp39 )
& ( ( c0_1(a547)
& c1_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp38 )
& ( ( c1_1(a544)
& ~ c3_1(a544)
& ~ c2_1(a544)
& ndr1_0 )
| ~ hskp37 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp36 )
& ( ( c3_1(a538)
& c1_1(a538)
& c2_1(a538)
& ndr1_0 )
| ~ hskp35 )
& ( ( c3_1(a537)
& ~ c1_1(a537)
& c0_1(a537)
& ndr1_0 )
| ~ hskp34 )
& ( ( c0_1(a536)
& c2_1(a536)
& c1_1(a536)
& ndr1_0 )
| ~ hskp33 )
& ( ( ~ c2_1(a596)
& ~ c3_1(a596)
& c0_1(a596)
& ndr1_0 )
| ~ hskp32 )
& ( ( ~ c1_1(a594)
& ~ c3_1(a594)
& ~ c0_1(a594)
& ndr1_0 )
| ~ hskp31 )
& ( ( ~ c0_1(a591)
& ~ c2_1(a591)
& c1_1(a591)
& ndr1_0 )
| ~ hskp30 )
& ( ( ~ c1_1(a590)
& ~ c0_1(a590)
& ~ c3_1(a590)
& ndr1_0 )
| ~ hskp29 )
& ( ( ~ c0_1(a589)
& c3_1(a589)
& c2_1(a589)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a586)
& c1_1(a586)
& ~ c0_1(a586)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a584)
& c1_1(a584)
& c0_1(a584)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a582)
& ~ c2_1(a582)
& ~ c3_1(a582)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a581)
& ~ c1_1(a581)
& c2_1(a581)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c1_1(a578)
& ~ c0_1(a578)
& c3_1(a578)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c0_1(a577)
& c1_1(a577)
& ~ c3_1(a577)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a576)
& ~ c0_1(a576)
& c1_1(a576)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a575)
& ~ c0_1(a575)
& ~ c2_1(a575)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a573)
& ~ c0_1(a573)
& ~ c2_1(a573)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a572)
& c0_1(a572)
& ~ c3_1(a572)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& c3_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c0_1(a570)
& c1_1(a570)
& c3_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a569)
& ~ c1_1(a569)
& ~ c0_1(a569)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a567)
& ~ c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a565)
& c2_1(a565)
& c3_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a563)
& ~ c0_1(a563)
& c3_1(a563)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a560)
& ~ c3_1(a560)
& c1_1(a560)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a558)
& c3_1(a558)
& ~ c1_1(a558)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a554)
& ~ c2_1(a554)
& ~ c0_1(a554)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a552)
& ~ c1_1(a552)
& ~ c3_1(a552)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a550)
& c3_1(a550)
& c0_1(a550)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c0_1(a548)
& c3_1(a548)
& ~ c2_1(a548)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a546)
& c2_1(a546)
& ~ c3_1(a546)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a545)
& c1_1(a545)
& ~ c2_1(a545)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a543)
& ~ c0_1(a543)
& ~ c1_1(a543)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a540)
& c1_1(a540)
& c2_1(a540)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a539)
& ~ c1_1(a539)
& ~ c2_1(a539)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a535)
& c0_1(a535)
& c1_1(a535)
& ndr1_0 )
| ~ hskp0 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X81] :
( ~ ndr1_0
| ~ c0_1(X81)
| ~ c1_1(X81)
| c3_1(X81) )
| hskp32
| ! [X80] :
( ~ ndr1_0
| ~ c2_1(X80)
| c3_1(X80)
| ~ c1_1(X80) ) )
& ( hskp52
| hskp31
| hskp40 )
& ( hskp46
| ! [X79] :
( ~ ndr1_0
| ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) )
| ! [X78] :
( ~ ndr1_0
| c0_1(X78)
| c3_1(X78)
| ~ c2_1(X78) ) )
& ( hskp30
| ! [X77] :
( ~ ndr1_0
| c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77) )
| hskp29 )
& ( hskp28
| ! [X76] :
( ~ ndr1_0
| c2_1(X76)
| c0_1(X76)
| c1_1(X76) )
| ! [X75] :
( ~ ndr1_0
| c1_1(X75)
| c0_1(X75)
| c2_1(X75) ) )
& ( ! [X74] :
( ~ ndr1_0
| ~ c3_1(X74)
| ~ c1_1(X74)
| c2_1(X74) )
| ! [X73] :
( ~ ndr1_0
| c0_1(X73)
| c2_1(X73)
| ~ c3_1(X73) )
| hskp46 )
& ( hskp4
| hskp27
| hskp6 )
& ( hskp26
| ! [X72] :
( ~ ndr1_0
| ~ c1_1(X72)
| c3_1(X72)
| c0_1(X72) )
| ! [X71] :
( ~ ndr1_0
| c1_1(X71)
| c0_1(X71)
| ~ c3_1(X71) ) )
& ( hskp51
| ! [X70] :
( ~ ndr1_0
| ~ c3_1(X70)
| c1_1(X70)
| ~ c0_1(X70) )
| ! [X69] :
( ~ ndr1_0
| c1_1(X69)
| c2_1(X69)
| c3_1(X69) ) )
& ( ! [X68] :
( ~ ndr1_0
| ~ c3_1(X68)
| c2_1(X68)
| ~ c0_1(X68) )
| ! [X67] :
( ~ ndr1_0
| c3_1(X67)
| ~ c2_1(X67)
| c1_1(X67) )
| ! [X66] :
( ~ ndr1_0
| c1_1(X66)
| ~ c3_1(X66)
| ~ c0_1(X66) ) )
& ( ! [X65] :
( ~ ndr1_0
| ~ c1_1(X65)
| ~ c3_1(X65)
| ~ c2_1(X65) )
| hskp25
| ! [X64] :
( ~ ndr1_0
| c2_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) )
& ( ! [X63] :
( ~ ndr1_0
| ~ c0_1(X63)
| c2_1(X63)
| c3_1(X63) )
| hskp24
| hskp39 )
& ( hskp34
| ! [X62] :
( ~ ndr1_0
| ~ c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) )
| ! [X61] :
( ~ ndr1_0
| c0_1(X61)
| c3_1(X61)
| ~ c1_1(X61) ) )
& ( hskp23
| hskp22
| ! [X60] :
( ~ ndr1_0
| ~ c0_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
& ( hskp21
| hskp20
| ! [X59] :
( ~ ndr1_0
| ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ) )
& ( hskp50
| hskp19
| ! [X58] :
( ~ ndr1_0
| c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ) )
& ( hskp18
| hskp17
| hskp16 )
& ( hskp15
| ! [X57] :
( ~ ndr1_0
| c2_1(X57)
| ~ c1_1(X57)
| c3_1(X57) )
| ! [X56] :
( ~ ndr1_0
| c1_1(X56)
| ~ c3_1(X56)
| ~ c2_1(X56) ) )
& ( ! [X55] :
( ~ ndr1_0
| ~ c0_1(X55)
| c3_1(X55)
| c2_1(X55) )
| hskp49
| ! [X54] :
( ~ ndr1_0
| ~ c3_1(X54)
| ~ c0_1(X54)
| c2_1(X54) ) )
& ( ! [X53] :
( ~ ndr1_0
| ~ c1_1(X53)
| c0_1(X53)
| c2_1(X53) )
| ! [X52] :
( ~ ndr1_0
| c1_1(X52)
| c2_1(X52)
| c3_1(X52) )
| hskp14 )
& ( ! [X51] :
( ~ ndr1_0
| c0_1(X51)
| c1_1(X51)
| ~ c2_1(X51) )
| hskp48
| hskp13 )
& ( hskp47
| ! [X50] :
( ~ ndr1_0
| c3_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) )
| ! [X49] :
( ~ ndr1_0
| ~ c3_1(X49)
| ~ c2_1(X49)
| c0_1(X49) ) )
& ( ! [X48] :
( ~ ndr1_0
| c2_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) )
| ! [X47] :
( ~ ndr1_0
| c3_1(X47)
| c2_1(X47)
| c1_1(X47) )
| hskp12 )
& ( ! [X46] :
( ~ ndr1_0
| c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46) )
| hskp46
| ! [X45] :
( ~ ndr1_0
| ~ c1_1(X45)
| c0_1(X45)
| ~ c2_1(X45) ) )
& ( hskp45
| ! [X44] :
( ~ ndr1_0
| ~ c1_1(X44)
| c2_1(X44)
| ~ c0_1(X44) )
| ! [X43] :
( ~ ndr1_0
| c3_1(X43)
| c0_1(X43)
| c2_1(X43) ) )
& ( ! [X42] :
( ~ ndr1_0
| c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) )
| hskp11
| hskp44 )
& ( ! [X41] :
( ~ ndr1_0
| ~ c2_1(X41)
| ~ c3_1(X41)
| ~ c0_1(X41) )
| ! [X40] :
( ~ ndr1_0
| ~ c1_1(X40)
| c0_1(X40)
| ~ c2_1(X40) )
| hskp10 )
& ( ! [X39] :
( ~ ndr1_0
| ~ c0_1(X39)
| c2_1(X39)
| c1_1(X39) )
| hskp43
| ! [X38] :
( ~ ndr1_0
| ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) ) )
& ( ! [X37] :
( ~ ndr1_0
| c2_1(X37)
| ~ c3_1(X37)
| ~ c1_1(X37) )
| ! [X36] :
( ~ ndr1_0
| ~ c1_1(X36)
| ~ c0_1(X36)
| ~ c2_1(X36) )
| hskp42 )
& ( ! [X35] :
( ~ ndr1_0
| ~ c3_1(X35)
| c2_1(X35)
| ~ c1_1(X35) )
| ! [X34] :
( ~ ndr1_0
| c1_1(X34)
| c3_1(X34)
| c2_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c3_1(X33)
| ~ c2_1(X33)
| c1_1(X33) ) )
& ( hskp41
| hskp9
| ! [X32] :
( ~ ndr1_0
| ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ) )
& ( ! [X31] :
( ~ ndr1_0
| c3_1(X31)
| ~ c2_1(X31)
| c0_1(X31) )
| ! [X30] :
( ~ ndr1_0
| c1_1(X30)
| ~ c3_1(X30)
| c0_1(X30) )
| ! [X29] :
( ~ ndr1_0
| ~ c0_1(X29)
| ~ c1_1(X29)
| c2_1(X29) ) )
& ( hskp38
| ! [X28] :
( ~ ndr1_0
| ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X28) )
| ! [X27] :
( ~ ndr1_0
| ~ c3_1(X27)
| c1_1(X27)
| ~ c2_1(X27) ) )
& ( hskp8
| ! [X26] :
( ~ ndr1_0
| ~ c3_1(X26)
| ~ c0_1(X26)
| c1_1(X26) )
| ! [X25] :
( ~ ndr1_0
| c1_1(X25)
| ~ c2_1(X25)
| c0_1(X25) ) )
& ( hskp40
| hskp7
| ! [X24] :
( ~ ndr1_0
| ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ) )
& ( hskp39
| ! [X23] :
( ~ ndr1_0
| ~ c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) )
| ! [X22] :
( ~ ndr1_0
| c0_1(X22)
| ~ c1_1(X22)
| c3_1(X22) ) )
& ( hskp6
| ! [X21] :
( ~ ndr1_0
| c0_1(X21)
| ~ c3_1(X21)
| ~ c1_1(X21) )
| ! [X20] :
( ~ ndr1_0
| c2_1(X20)
| c1_1(X20)
| c0_1(X20) ) )
& ( ! [X19] :
( ~ ndr1_0
| ~ c3_1(X19)
| c2_1(X19)
| c0_1(X19) )
| hskp38
| ! [X18] :
( ~ ndr1_0
| c2_1(X18)
| c1_1(X18)
| c3_1(X18) ) )
& ( hskp5
| ! [X17] :
( ~ ndr1_0
| c2_1(X17)
| ~ c3_1(X17)
| c1_1(X17) )
| ! [X16] :
( ~ ndr1_0
| ~ c1_1(X16)
| ~ c2_1(X16)
| c3_1(X16) ) )
& ( ! [X15] :
( ~ ndr1_0
| ~ c1_1(X15)
| ~ c3_1(X15)
| ~ c2_1(X15) )
| hskp4
| ! [X14] :
( ~ ndr1_0
| ~ c1_1(X14)
| c0_1(X14)
| c3_1(X14) ) )
& ( ! [X13] :
( ~ ndr1_0
| ~ c0_1(X13)
| ~ c2_1(X13)
| c1_1(X13) )
| hskp37
| ! [X12] :
( ~ ndr1_0
| c3_1(X12)
| c1_1(X12)
| ~ c0_1(X12) ) )
& ( hskp3
| hskp34
| hskp36 )
& ( hskp2
| hskp1
| ! [X11] :
( ~ ndr1_0
| ~ c0_1(X11)
| ~ c1_1(X11)
| ~ c3_1(X11) ) )
& ( ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| ~ c0_1(X10) )
| ! [X9] :
( ~ ndr1_0
| ~ c1_1(X9)
| ~ c2_1(X9)
| c3_1(X9) )
| hskp35 )
& ( ! [X8] :
( ~ ndr1_0
| c3_1(X8)
| c2_1(X8)
| c1_1(X8) )
| ! [X7] :
( ~ ndr1_0
| ~ c3_1(X7)
| ~ c2_1(X7)
| ~ c1_1(X7) )
| hskp34 )
& ( ! [X6] :
( ~ ndr1_0
| ~ c0_1(X6)
| ~ c1_1(X6)
| c3_1(X6) )
| ! [X5] :
( ~ ndr1_0
| c0_1(X5)
| c3_1(X5)
| c2_1(X5) )
| hskp33 )
& ( ! [X4] :
( ~ ndr1_0
| ~ c2_1(X4)
| ~ c1_1(X4)
| ~ c0_1(X4) )
| ! [X3] :
( ~ ndr1_0
| ~ c3_1(X3)
| c1_1(X3)
| c2_1(X3) )
| ! [X2] :
( ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| c2_1(X2) ) )
& ( hskp0
| ! [X1] :
( ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) )
& ( ( c1_1(a595)
& c2_1(a595)
& ~ c0_1(a595)
& ndr1_0 )
| ~ hskp52 )
& ( ( c3_1(a583)
& c0_1(a583)
& ~ c2_1(a583)
& ndr1_0 )
| ~ hskp51 )
& ( ( c1_1(a574)
& c0_1(a574)
& ~ c3_1(a574)
& ndr1_0 )
| ~ hskp50 )
& ( ( c2_1(a568)
& ~ c1_1(a568)
& ~ c0_1(a568)
& ndr1_0 )
| ~ hskp49 )
& ( ( c1_1(a566)
& ~ c2_1(a566)
& ~ c3_1(a566)
& ndr1_0 )
| ~ hskp48 )
& ( ( c1_1(a564)
& c0_1(a564)
& ~ c2_1(a564)
& ndr1_0 )
| ~ hskp47 )
& ( ( c1_1(a562)
& ~ c0_1(a562)
& ~ c3_1(a562)
& ndr1_0 )
| ~ hskp46 )
& ( ( c0_1(a561)
& ~ c2_1(a561)
& ~ c3_1(a561)
& ndr1_0 )
| ~ hskp45 )
& ( ( c2_1(a559)
& c0_1(a559)
& ~ c3_1(a559)
& ndr1_0 )
| ~ hskp44 )
& ( ( c0_1(a557)
& ~ c1_1(a557)
& c3_1(a557)
& ndr1_0 )
| ~ hskp43 )
& ( ( c3_1(a556)
& c1_1(a556)
& ~ c2_1(a556)
& ndr1_0 )
| ~ hskp42 )
& ( ( c0_1(a555)
& c3_1(a555)
& ~ c2_1(a555)
& ndr1_0 )
| ~ hskp41 )
& ( ( c2_1(a551)
& ~ c0_1(a551)
& c3_1(a551)
& ndr1_0 )
| ~ hskp40 )
& ( ( c1_1(a549)
& c2_1(a549)
& c3_1(a549)
& ndr1_0 )
| ~ hskp39 )
& ( ( c0_1(a547)
& c1_1(a547)
& c2_1(a547)
& ndr1_0 )
| ~ hskp38 )
& ( ( c1_1(a544)
& ~ c3_1(a544)
& ~ c2_1(a544)
& ndr1_0 )
| ~ hskp37 )
& ( ( c2_1(a541)
& c1_1(a541)
& c0_1(a541)
& ndr1_0 )
| ~ hskp36 )
& ( ( c3_1(a538)
& c1_1(a538)
& c2_1(a538)
& ndr1_0 )
| ~ hskp35 )
& ( ( c3_1(a537)
& ~ c1_1(a537)
& c0_1(a537)
& ndr1_0 )
| ~ hskp34 )
& ( ( c0_1(a536)
& c2_1(a536)
& c1_1(a536)
& ndr1_0 )
| ~ hskp33 )
& ( ( ~ c2_1(a596)
& ~ c3_1(a596)
& c0_1(a596)
& ndr1_0 )
| ~ hskp32 )
& ( ( ~ c1_1(a594)
& ~ c3_1(a594)
& ~ c0_1(a594)
& ndr1_0 )
| ~ hskp31 )
& ( ( ~ c0_1(a591)
& ~ c2_1(a591)
& c1_1(a591)
& ndr1_0 )
| ~ hskp30 )
& ( ( ~ c1_1(a590)
& ~ c0_1(a590)
& ~ c3_1(a590)
& ndr1_0 )
| ~ hskp29 )
& ( ( ~ c0_1(a589)
& c3_1(a589)
& c2_1(a589)
& ndr1_0 )
| ~ hskp28 )
& ( ( ~ c3_1(a586)
& c1_1(a586)
& ~ c0_1(a586)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a584)
& c1_1(a584)
& c0_1(a584)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c1_1(a582)
& ~ c2_1(a582)
& ~ c3_1(a582)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c3_1(a581)
& ~ c1_1(a581)
& c2_1(a581)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c1_1(a578)
& ~ c0_1(a578)
& c3_1(a578)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c0_1(a577)
& c1_1(a577)
& ~ c3_1(a577)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c3_1(a576)
& ~ c0_1(a576)
& c1_1(a576)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c3_1(a575)
& ~ c0_1(a575)
& ~ c2_1(a575)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c1_1(a573)
& ~ c0_1(a573)
& ~ c2_1(a573)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c1_1(a572)
& c0_1(a572)
& ~ c3_1(a572)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a571)
& c3_1(a571)
& c0_1(a571)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c0_1(a570)
& c1_1(a570)
& c3_1(a570)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a569)
& ~ c1_1(a569)
& ~ c0_1(a569)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a567)
& ~ c1_1(a567)
& c0_1(a567)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c1_1(a565)
& c2_1(a565)
& c3_1(a565)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c2_1(a563)
& ~ c0_1(a563)
& c3_1(a563)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a560)
& ~ c3_1(a560)
& c1_1(a560)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c0_1(a558)
& c3_1(a558)
& ~ c1_1(a558)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c1_1(a554)
& ~ c2_1(a554)
& ~ c0_1(a554)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c2_1(a552)
& ~ c1_1(a552)
& ~ c3_1(a552)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a550)
& c3_1(a550)
& c0_1(a550)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c0_1(a548)
& c3_1(a548)
& ~ c2_1(a548)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a546)
& c2_1(a546)
& ~ c3_1(a546)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c0_1(a545)
& c1_1(a545)
& ~ c2_1(a545)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a543)
& ~ c0_1(a543)
& ~ c1_1(a543)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c3_1(a540)
& c1_1(a540)
& c2_1(a540)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a539)
& ~ c1_1(a539)
& ~ c2_1(a539)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c2_1(a535)
& c0_1(a535)
& c1_1(a535)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f4]) ).
fof(f7,plain,
( hskp52
| hskp31
| hskp40 ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X77] :
( hskp30
| ~ ndr1_0
| c1_1(X77)
| ~ c3_1(X77)
| c2_1(X77)
| hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
( hskp4
| hskp27
| hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X59] :
( hskp21
| hskp20
| ~ ndr1_0
| ~ c1_1(X59)
| ~ c3_1(X59)
| c2_1(X59) ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X58] :
( hskp50
| hskp19
| ~ ndr1_0
| c1_1(X58)
| ~ c0_1(X58)
| c2_1(X58) ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
( hskp18
| hskp17
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X42] :
( ~ ndr1_0
| c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42)
| hskp11
| hskp44 ),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X32] :
( hskp41
| hskp9
| ~ ndr1_0
| ~ c3_1(X32)
| c0_1(X32)
| ~ c1_1(X32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X24] :
( hskp40
| hskp7
| ~ ndr1_0
| ~ c0_1(X24)
| c1_1(X24)
| ~ c2_1(X24) ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp52 ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
( c3_1(a583)
| ~ hskp51 ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
( c0_1(a583)
| ~ hskp51 ),
inference(cnf_transformation,[],[f5]) ).
fof(f60,plain,
( ~ c2_1(a583)
| ~ hskp51 ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
( c1_1(a574)
| ~ hskp50 ),
inference(cnf_transformation,[],[f5]) ).
fof(f63,plain,
( c0_1(a574)
| ~ hskp50 ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
( ~ c3_1(a574)
| ~ hskp50 ),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
( c2_1(a568)
| ~ hskp49 ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
( ~ c1_1(a568)
| ~ hskp49 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( c1_1(a562)
| ~ hskp46 ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ c0_1(a562)
| ~ hskp46 ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ c3_1(a562)
| ~ hskp46 ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( c2_1(a559)
| ~ hskp44 ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( c0_1(a559)
| ~ hskp44 ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ c3_1(a559)
| ~ hskp44 ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( c0_1(a555)
| ~ hskp41 ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( c3_1(a555)
| ~ hskp41 ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ c2_1(a555)
| ~ hskp41 ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( c2_1(a551)
| ~ hskp40 ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( ~ c0_1(a551)
| ~ hskp40 ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( c3_1(a551)
| ~ hskp40 ),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( ndr1_0
| ~ hskp40 ),
inference(cnf_transformation,[],[f5]) ).
fof(f106,plain,
( c1_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
( c2_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( c3_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( c0_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( c1_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( c2_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( c1_1(a544)
| ~ hskp37 ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ c3_1(a544)
| ~ hskp37 ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ c2_1(a544)
| ~ hskp37 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( c3_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( c1_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( c2_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( c3_1(a537)
| ~ hskp34 ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ c1_1(a537)
| ~ hskp34 ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( c0_1(a537)
| ~ hskp34 ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( c0_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( c2_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( c1_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ c2_1(a596)
| ~ hskp32 ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ c3_1(a596)
| ~ hskp32 ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( c0_1(a596)
| ~ hskp32 ),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
( ndr1_0
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
( ~ c0_1(a591)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
( ~ c2_1(a591)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( c1_1(a591)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
( ~ c1_1(a590)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
( ~ c0_1(a590)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( ~ c3_1(a590)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ c0_1(a589)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( c3_1(a589)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( c2_1(a589)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
( ~ c3_1(a586)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
( c1_1(a586)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f156,plain,
( ~ c0_1(a586)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ c3_1(a584)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( c1_1(a584)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( c0_1(a584)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ c1_1(a582)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ c2_1(a582)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ c3_1(a582)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ c3_1(a576)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( ~ c0_1(a576)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( c1_1(a576)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ c3_1(a575)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ c0_1(a575)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( ~ c2_1(a575)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ c1_1(a573)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( ~ c0_1(a573)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( ~ c2_1(a573)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
( ~ c1_1(a572)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( c0_1(a572)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( ~ c3_1(a572)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
( ~ c2_1(a571)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
( c3_1(a571)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
( c0_1(a571)
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
( ~ c0_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
( c1_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
( c3_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
( ~ c2_1(a569)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
( ~ c1_1(a569)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
( ~ c0_1(a569)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f218,plain,
( ~ c0_1(a560)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
( ~ c3_1(a560)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
( c1_1(a560)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
( ~ c1_1(a554)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
( ~ c2_1(a554)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
( ~ c0_1(a554)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
( ~ c2_1(a552)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
( ~ c1_1(a552)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
( ~ c3_1(a552)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
( ~ c1_1(a550)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
( c3_1(a550)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f236,plain,
( c0_1(a550)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f238,plain,
( ~ c0_1(a548)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
( c3_1(a548)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f240,plain,
( ~ c2_1(a548)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
( ~ c1_1(a546)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f243,plain,
( c2_1(a546)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
( ~ c3_1(a546)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
( ~ c0_1(a545)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
( c1_1(a545)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
( ~ c2_1(a545)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f262,plain,
( ~ c2_1(a535)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f263,plain,
( c0_1(a535)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f264,plain,
( c1_1(a535)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_50,negated_conjecture,
( c1_1(a535)
| ~ hskp0 ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_51,negated_conjecture,
( c0_1(a535)
| ~ hskp0 ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_52,negated_conjecture,
( ~ hskp0
| ~ c2_1(a535) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_66,negated_conjecture,
( ~ hskp4
| ~ c2_1(a545) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_67,negated_conjecture,
( c1_1(a545)
| ~ hskp4 ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_68,negated_conjecture,
( ~ hskp4
| ~ c0_1(a545) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_70,negated_conjecture,
( ~ hskp5
| ~ c3_1(a546) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_71,negated_conjecture,
( c2_1(a546)
| ~ hskp5 ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_72,negated_conjecture,
( ~ hskp5
| ~ c1_1(a546) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_74,negated_conjecture,
( ~ hskp6
| ~ c2_1(a548) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_75,negated_conjecture,
( c3_1(a548)
| ~ hskp6 ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_76,negated_conjecture,
( ~ hskp6
| ~ c0_1(a548) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_78,negated_conjecture,
( c0_1(a550)
| ~ hskp7 ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_79,negated_conjecture,
( c3_1(a550)
| ~ hskp7 ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_80,negated_conjecture,
( ~ hskp7
| ~ c1_1(a550) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_82,negated_conjecture,
( ~ hskp8
| ~ c3_1(a552) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_83,negated_conjecture,
( ~ hskp8
| ~ c1_1(a552) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_84,negated_conjecture,
( ~ hskp8
| ~ c2_1(a552) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_86,negated_conjecture,
( ~ hskp9
| ~ c0_1(a554) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_87,negated_conjecture,
( ~ hskp9
| ~ c2_1(a554) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_88,negated_conjecture,
( ~ hskp9
| ~ c1_1(a554) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_94,negated_conjecture,
( c1_1(a560)
| ~ hskp11 ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_95,negated_conjecture,
( ~ hskp11
| ~ c3_1(a560) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_96,negated_conjecture,
( ~ hskp11
| ~ c0_1(a560) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_110,negated_conjecture,
( ~ hskp15
| ~ c0_1(a569) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_111,negated_conjecture,
( ~ hskp15
| ~ c1_1(a569) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_112,negated_conjecture,
( ~ hskp15
| ~ c2_1(a569) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_114,negated_conjecture,
( c3_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_115,negated_conjecture,
( c1_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_116,negated_conjecture,
( ~ hskp16
| ~ c0_1(a570) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_118,negated_conjecture,
( c0_1(a571)
| ~ hskp17 ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_119,negated_conjecture,
( c3_1(a571)
| ~ hskp17 ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_120,negated_conjecture,
( ~ hskp17
| ~ c2_1(a571) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_122,negated_conjecture,
( ~ hskp18
| ~ c3_1(a572) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_123,negated_conjecture,
( c0_1(a572)
| ~ hskp18 ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_124,negated_conjecture,
( ~ hskp18
| ~ c1_1(a572) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_126,negated_conjecture,
( ~ hskp19
| ~ c2_1(a573) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_127,negated_conjecture,
( ~ hskp19
| ~ c0_1(a573) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_128,negated_conjecture,
( ~ hskp19
| ~ c1_1(a573) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_130,negated_conjecture,
( ~ hskp20
| ~ c2_1(a575) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_131,negated_conjecture,
( ~ hskp20
| ~ c0_1(a575) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_132,negated_conjecture,
( ~ hskp20
| ~ c3_1(a575) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_134,negated_conjecture,
( c1_1(a576)
| ~ hskp21 ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_135,negated_conjecture,
( ~ hskp21
| ~ c0_1(a576) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_136,negated_conjecture,
( ~ hskp21
| ~ c3_1(a576) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_150,negated_conjecture,
( ~ hskp25
| ~ c3_1(a582) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_151,negated_conjecture,
( ~ hskp25
| ~ c2_1(a582) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_152,negated_conjecture,
( ~ hskp25
| ~ c1_1(a582) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_154,negated_conjecture,
( c0_1(a584)
| ~ hskp26 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_155,negated_conjecture,
( c1_1(a584)
| ~ hskp26 ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_156,negated_conjecture,
( ~ hskp26
| ~ c3_1(a584) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_158,negated_conjecture,
( ~ hskp27
| ~ c0_1(a586) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_159,negated_conjecture,
( c1_1(a586)
| ~ hskp27 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_160,negated_conjecture,
( ~ hskp27
| ~ c3_1(a586) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_162,negated_conjecture,
( c2_1(a589)
| ~ hskp28 ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_163,negated_conjecture,
( c3_1(a589)
| ~ hskp28 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_164,negated_conjecture,
( ~ hskp28
| ~ c0_1(a589) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_166,negated_conjecture,
( ~ hskp29
| ~ c3_1(a590) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_167,negated_conjecture,
( ~ hskp29
| ~ c0_1(a590) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_168,negated_conjecture,
( ~ hskp29
| ~ c1_1(a590) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_170,negated_conjecture,
( c1_1(a591)
| ~ hskp30 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_171,negated_conjecture,
( ~ hskp30
| ~ c2_1(a591) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_172,negated_conjecture,
( ~ hskp30
| ~ c0_1(a591) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_173,negated_conjecture,
( ndr1_0
| ~ hskp31 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_178,negated_conjecture,
( c0_1(a596)
| ~ hskp32 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_179,negated_conjecture,
( ~ hskp32
| ~ c3_1(a596) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_180,negated_conjecture,
( ~ hskp32
| ~ c2_1(a596) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_182,negated_conjecture,
( c1_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_183,negated_conjecture,
( c2_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_184,negated_conjecture,
( c0_1(a536)
| ~ hskp33 ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_186,negated_conjecture,
( c0_1(a537)
| ~ hskp34 ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_187,negated_conjecture,
( ~ hskp34
| ~ c1_1(a537) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_188,negated_conjecture,
( c3_1(a537)
| ~ hskp34 ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_190,negated_conjecture,
( c2_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_191,negated_conjecture,
( c1_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_192,negated_conjecture,
( c3_1(a538)
| ~ hskp35 ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_198,negated_conjecture,
( ~ hskp37
| ~ c2_1(a544) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_199,negated_conjecture,
( ~ hskp37
| ~ c3_1(a544) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_200,negated_conjecture,
( c1_1(a544)
| ~ hskp37 ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_202,negated_conjecture,
( c2_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_203,negated_conjecture,
( c1_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_204,negated_conjecture,
( c0_1(a547)
| ~ hskp38 ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_206,negated_conjecture,
( c3_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_207,negated_conjecture,
( c2_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_208,negated_conjecture,
( c1_1(a549)
| ~ hskp39 ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_209,negated_conjecture,
( ndr1_0
| ~ hskp40 ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_210,negated_conjecture,
( c3_1(a551)
| ~ hskp40 ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_211,negated_conjecture,
( ~ hskp40
| ~ c0_1(a551) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_212,negated_conjecture,
( c2_1(a551)
| ~ hskp40 ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_214,negated_conjecture,
( ~ hskp41
| ~ c2_1(a555) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_215,negated_conjecture,
( c3_1(a555)
| ~ hskp41 ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_216,negated_conjecture,
( c0_1(a555)
| ~ hskp41 ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_226,negated_conjecture,
( ~ hskp44
| ~ c3_1(a559) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_227,negated_conjecture,
( c0_1(a559)
| ~ hskp44 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_228,negated_conjecture,
( c2_1(a559)
| ~ hskp44 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_234,negated_conjecture,
( ~ hskp46
| ~ c3_1(a562) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_235,negated_conjecture,
( ~ hskp46
| ~ c0_1(a562) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_236,negated_conjecture,
( c1_1(a562)
| ~ hskp46 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_247,negated_conjecture,
( ~ hskp49
| ~ c1_1(a568) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_248,negated_conjecture,
( c2_1(a568)
| ~ hskp49 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_250,negated_conjecture,
( ~ hskp50
| ~ c3_1(a574) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_251,negated_conjecture,
( c0_1(a574)
| ~ hskp50 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_252,negated_conjecture,
( c1_1(a574)
| ~ hskp50 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_254,negated_conjecture,
( ~ hskp51
| ~ c2_1(a583) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_255,negated_conjecture,
( c0_1(a583)
| ~ hskp51 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_256,negated_conjecture,
( c3_1(a583)
| ~ hskp51 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_257,negated_conjecture,
( ndr1_0
| ~ hskp52 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_261,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_262,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_263,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_264,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_265,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp35
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_268,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp37
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_269,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_270,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_271,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp38
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_272,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_273,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp39
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_274,negated_conjecture,
! [X0: $i] :
( hskp40
| hskp7
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_275,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_276,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp38
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_277,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_278,negated_conjecture,
! [X0: $i] :
( hskp41
| hskp9
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_279,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_283,negated_conjecture,
! [X0: $i] :
( hskp44
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_285,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp46
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_287,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp47
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_290,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp49
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_291,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_292,negated_conjecture,
( hskp18
| hskp17
| hskp16 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_293,negated_conjecture,
! [X0: $i] :
( hskp50
| hskp19
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_294,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp20
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_296,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_298,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_299,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_300,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp51
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_301,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_302,negated_conjecture,
( hskp27
| hskp6
| hskp4 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_303,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp46
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_304,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_305,negated_conjecture,
! [X0: $i] :
( hskp30
| hskp29
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_307,negated_conjecture,
( hskp52
| hskp40
| hskp31 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_308,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp32
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_323,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_257,c_307,c_257,c_209,c_173]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( hskp30
| hskp29
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_305,c_307,c_257,c_209,c_173,c_305]) ).
tcf(c_435,negated_conjecture,
! [X0: $i] :
( hskp50
| hskp19
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293,c_307,c_257,c_209,c_173,c_293]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( hskp44
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_283,c_307,c_257,c_209,c_173,c_283]) ).
tcf(c_447,plain,
! [X0: $i] :
( hskp21
| hskp20
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294,c_307,c_257,c_209,c_173,c_294]) ).
tcf(c_448,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp20
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_447]) ).
tcf(c_450,plain,
! [X0: $i] :
( hskp41
| hskp9
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_278,c_307,c_257,c_209,c_173,c_278]) ).
tcf(c_451,negated_conjecture,
! [X0: $i] :
( hskp41
| hskp9
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_450]) ).
tcf(c_453,plain,
! [X0: $i] :
( hskp40
| hskp7
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274,c_307,c_257,c_209,c_173,c_274]) ).
tcf(c_454,negated_conjecture,
! [X0: $i] :
( hskp40
| hskp7
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_453]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_304,c_307,c_257,c_209,c_173,c_304]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp38
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_271,c_307,c_257,c_209,c_173,c_271]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i] :
( hskp26
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_301,c_307,c_257,c_209,c_173,c_301]) ).
tcf(c_467,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_466]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( hskp51
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_300,c_307,c_257,c_209,c_173,c_300]) ).
tcf(c_469,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp51
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_468]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_272,c_272,c_323]) ).
tcf(c_475,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_474]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( hskp33
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_263,c_307,c_257,c_209,c_173,c_263]) ).
tcf(c_477,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_476]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i] :
( hskp46
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_303,c_307,c_257,c_209,c_173,c_303]) ).
tcf(c_479,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp46
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_478]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_291,c_307,c_257,c_209,c_173,c_291]) ).
tcf(c_482,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_481]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i] :
( hskp49
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290,c_307,c_257,c_209,c_173,c_290]) ).
tcf(c_484,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp49
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_483]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_275,c_307,c_257,c_209,c_173,c_275]) ).
tcf(c_488,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_487]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( hskp39
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_273,c_307,c_257,c_209,c_173,c_273]) ).
tcf(c_490,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp39
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_489]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_270,c_307,c_257,c_209,c_173,c_270]) ).
tcf(c_492,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_491]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] :
( hskp37
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_268,c_307,c_257,c_209,c_173,c_268]) ).
tcf(c_494,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp37
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_493]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] :
( hskp35
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_265,c_307,c_257,c_209,c_173,c_265]) ).
tcf(c_497,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp35
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_496]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264,c_307,c_257,c_209,c_173,c_264]) ).
tcf(c_499,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_498]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_261,c_307,c_257,c_209,c_173,c_261]) ).
tcf(c_501,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_500]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i] :
( hskp32
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_308,c_307,c_257,c_209,c_173,c_308]) ).
tcf(c_503,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp32
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_502]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_296,c_307,c_257,c_209,c_173,c_296]) ).
tcf(c_508,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp34
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_507]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( hskp47
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_287,c_307,c_257,c_209,c_173,c_287]) ).
tcf(c_510,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp47
| c3_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( hskp46
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_285,c_307,c_257,c_209,c_173,c_285]) ).
tcf(c_512,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp46
| c0_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_511]) ).
tcf(c_513,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_269,c_307,c_257,c_209,c_173,c_269]) ).
tcf(c_514,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_513]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_298,c_307,c_257,c_209,c_173,c_298]) ).
tcf(c_516,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_515]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i] :
( hskp38
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_276,c_307,c_257,c_209,c_173,c_276]) ).
tcf(c_522,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp38
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_521]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_279,c_307,c_257,c_209,c_173,c_279]) ).
tcf(c_524,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_523]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_307,c_257,c_209,c_173,c_277]) ).
tcf(c_526,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_525]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_299,c_307,c_257,c_209,c_173,c_299]) ).
tcf(c_528,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_262,c_307,c_257,c_209,c_173,c_262]) ).
tcf(c_530,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_529]) ).
tcf(c_1824,plain,
( hskp18
| hskp17
| ~ c0_1(a570) ),
inference(resolution,[status(thm)],[c_292,c_116]) ).
tcf(c_1834,plain,
( hskp18
| hskp17
| c1_1(a570) ),
inference(resolution,[status(thm)],[c_292,c_115]) ).
tcf(c_1844,plain,
( hskp18
| hskp17
| c3_1(a570) ),
inference(resolution,[status(thm)],[c_292,c_114]) ).
tcf(c_1863,plain,
( hskp6
| hskp4
| ~ c3_1(a586) ),
inference(resolution,[status(thm)],[c_302,c_160]) ).
tcf(c_1873,plain,
( hskp6
| hskp4
| c1_1(a586) ),
inference(resolution,[status(thm)],[c_302,c_159]) ).
tcf(c_1883,plain,
( hskp6
| hskp4
| ~ c0_1(a586) ),
inference(resolution,[status(thm)],[c_302,c_158]) ).
tcf(c_4878,plain,
( hskp18
| c3_1(a570)
| ~ c2_1(a571) ),
inference(resolution,[status(thm)],[c_1844,c_120]) ).
tcf(c_4888,plain,
( hskp18
| c3_1(a571)
| c3_1(a570) ),
inference(resolution,[status(thm)],[c_1844,c_119]) ).
tcf(c_5005,plain,
( hskp17
| c3_1(a570)
| c0_1(a572) ),
inference(resolution,[status(thm)],[c_1844,c_123]) ).
tcf(c_5035,plain,
( hskp17
| c0_1(a572)
| c1_1(a570) ),
inference(resolution,[status(thm)],[c_1834,c_123]) ).
tcf(c_5065,plain,
( hskp17
| c0_1(a572)
| ~ c0_1(a570) ),
inference(resolution,[status(thm)],[c_1824,c_123]) ).
tcf(c_5856,plain,
( hskp6
| ~ c0_1(a586)
| ~ c0_1(a545) ),
inference(resolution,[status(thm)],[c_1883,c_68]) ).
tcf(c_5866,plain,
( hskp6
| c1_1(a545)
| ~ c0_1(a586) ),
inference(resolution,[status(thm)],[c_1883,c_67]) ).
tcf(c_5876,plain,
( hskp6
| ~ c2_1(a545)
| ~ c0_1(a586) ),
inference(resolution,[status(thm)],[c_1883,c_66]) ).
tcf(c_5886,plain,
( hskp6
| c1_1(a586)
| ~ c0_1(a545) ),
inference(resolution,[status(thm)],[c_1873,c_68]) ).
tcf(c_5896,plain,
( hskp6
| c1_1(a586)
| c1_1(a545) ),
inference(resolution,[status(thm)],[c_1873,c_67]) ).
tcf(c_5906,plain,
( hskp6
| c1_1(a586)
| ~ c2_1(a545) ),
inference(resolution,[status(thm)],[c_1873,c_66]) ).
tcf(c_5936,plain,
( hskp6
| ~ c3_1(a586)
| ~ c2_1(a545) ),
inference(resolution,[status(thm)],[c_1863,c_66]) ).
tcf(c_12877,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_530]) ).
tcf(c_12878,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_530]) ).
tcf(c_12879,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_530]) ).
tcf(c_12880,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).
tcf(c_12881,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_528]) ).
tcf(c_12882,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_528]) ).
tcf(c_12883,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_528]) ).
tcf(c_12884,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).
tcf(c_12885,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_526]) ).
tcf(c_12886,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_526]) ).
tcf(c_12887,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).
tcf(c_12888,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_524]) ).
tcf(c_12889,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_524]) ).
tcf(c_12890,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_524]) ).
tcf(c_12891,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_524]) ).
tcf(c_12892,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_522]) ).
tcf(c_12898,negated_conjecture,
( iPr_def_21
| iPr_def_20
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).
tcf(c_12899,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_514]) ).
tcf(c_12900,negated_conjecture,
( iPr_def_24
| iPr_def_21
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).
tcf(c_12901,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_512]) ).
tcf(c_12904,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_510]) ).
tcf(c_12906,negated_conjecture,
( iPr_def_24
| iPr_def_10
| hskp34 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_12908,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_503]) ).
tcf(c_12909,negated_conjecture,
( iPr_def_28
| iPr_def_27
| hskp32 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).
tcf(c_12910,negated_conjecture,
( iPr_def_19
| iPr_def_10
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).
tcf(c_12911,negated_conjecture,
( iPr_def_21
| iPr_def_19
| hskp34 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).
tcf(c_12912,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_497]) ).
tcf(c_12913,negated_conjecture,
( iPr_def_29
| iPr_def_27
| hskp35 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).
tcf(c_12914,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_494]) ).
tcf(c_12915,negated_conjecture,
( iPr_def_30
| iPr_def_25
| hskp37 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).
tcf(c_12916,negated_conjecture,
( iPr_def_27
| iPr_def_11
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).
tcf(c_12917,negated_conjecture,
( iPr_def_24
| iPr_def_20
| hskp39 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).
tcf(c_12918,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_488]) ).
tcf(c_12919,negated_conjecture,
( iPr_def_31
| iPr_def_15
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).
tcf(c_12921,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_484]) ).
tcf(c_12922,negated_conjecture,
( iPr_def_32
| iPr_def_13
| hskp49 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).
tcf(c_12923,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_482]) ).
tcf(c_12924,negated_conjecture,
( iPr_def_33
| iPr_def_18
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).
tcf(c_12925,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_479]) ).
tcf(c_12926,negated_conjecture,
( iPr_def_34
| iPr_def_20
| hskp46 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).
tcf(c_12927,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_477]) ).
tcf(c_12928,negated_conjecture,
( iPr_def_35
| iPr_def_28
| hskp33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).
tcf(c_12929,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| c0_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_475]) ).
tcf(c_12930,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_475]) ).
tcf(c_12931,negated_conjecture,
( iPr_def_37
| iPr_def_36
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).
tcf(c_12934,negated_conjecture,
( iPr_def_19
| iPr_def_15
| hskp51 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).
tcf(c_12935,negated_conjecture,
( iPr_def_24
| iPr_def_16
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).
tcf(c_12936,negated_conjecture,
( iPr_def_34
| iPr_def_19
| hskp38 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).
tcf(c_12939,negated_conjecture,
( iPr_def_36
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).
tcf(c_12942,negated_conjecture,
( iPr_def_25
| hskp40
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).
tcf(c_12943,negated_conjecture,
( iPr_def_37
| hskp41
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).
tcf(c_12944,negated_conjecture,
( iPr_def_20
| hskp21
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).
tcf(c_12946,negated_conjecture,
( iPr_def_34
| hskp44
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).
tcf(c_12948,negated_conjecture,
( iPr_def_29
| hskp50
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).
tcf(c_12950,negated_conjecture,
( iPr_def_11
| hskp30
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).
tcf(c_12966,plain,
( c2_1(a535)
| ~ iPr_def_12
| ~ c0_1(a535)
| ~ c1_1(a535) ),
inference(instantiation,[status(thm)],[c_12879]) ).
tcf(c_12970,plain,
( c2_1(a535)
| ~ iPr_def_20
| ~ c3_1(a535)
| ~ c1_1(a535) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_12975,plain,
( c3_1(a535)
| ~ iPr_def_28
| ~ c0_1(a535)
| ~ c1_1(a535) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_12981,plain,
( c2_1(a548)
| c1_1(a548)
| ~ iPr_def_11
| ~ c3_1(a548) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_12992,plain,
( ~ iPr_def_10
| ~ c2_1(a572)
| ~ c0_1(a572)
| ~ c1_1(a572) ),
inference(instantiation,[status(thm)],[c_12877]) ).
tcf(c_12996,plain,
( c2_1(a584)
| ~ iPr_def_12
| ~ c0_1(a584)
| ~ c1_1(a584) ),
inference(instantiation,[status(thm)],[c_12879]) ).
tcf(c_12997,plain,
( ~ iPr_def_10
| ~ c2_1(a584)
| ~ c0_1(a584)
| ~ c1_1(a584) ),
inference(instantiation,[status(thm)],[c_12877]) ).
tcf(c_12998,plain,
( c1_1(a589)
| ~ iPr_def_18
| ~ c3_1(a589)
| ~ c2_1(a589) ),
inference(instantiation,[status(thm)],[c_12888]) ).
tcf(c_13001,plain,
( c2_1(a596)
| ~ iPr_def_12
| ~ c0_1(a596)
| ~ c1_1(a596) ),
inference(instantiation,[status(thm)],[c_12879]) ).
tcf(c_13005,plain,
( ~ iPr_def_10
| ~ c2_1(a536)
| ~ c0_1(a536)
| ~ c1_1(a536) ),
inference(instantiation,[status(thm)],[c_12877]) ).
tcf(c_13006,plain,
( c1_1(a537)
| ~ iPr_def_15
| ~ c3_1(a537)
| ~ c0_1(a537) ),
inference(instantiation,[status(thm)],[c_12883]) ).
tcf(c_13009,plain,
( c1_1(a537)
| ~ iPr_def_18
| ~ c3_1(a537)
| ~ c2_1(a537) ),
inference(instantiation,[status(thm)],[c_12888]) ).
tcf(c_13010,plain,
( c2_1(a537)
| c1_1(a537)
| ~ iPr_def_11
| ~ c3_1(a537) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_13015,plain,
( ~ iPr_def_10
| ~ c2_1(a547)
| ~ c0_1(a547)
| ~ c1_1(a547) ),
inference(instantiation,[status(thm)],[c_12877]) ).
tcf(c_13018,plain,
( c1_1(a551)
| ~ iPr_def_18
| ~ c3_1(a551)
| ~ c2_1(a551) ),
inference(instantiation,[status(thm)],[c_12888]) ).
tcf(c_13034,plain,
( c2_1(a583)
| c1_1(a583)
| ~ iPr_def_11
| ~ c3_1(a583) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_13040,plain,
( c2_1(a537)
| ~ iPr_def_13
| ~ c3_1(a537)
| ~ c0_1(a537) ),
inference(instantiation,[status(thm)],[c_12881]) ).
tcf(c_13044,plain,
( c2_1(a583)
| ~ iPr_def_13
| ~ c3_1(a583)
| ~ c0_1(a583) ),
inference(instantiation,[status(thm)],[c_12881]) ).
tcf(c_13046,plain,
( c3_1(a545)
| c2_1(a545)
| c0_1(a545)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_12927]) ).
tcf(c_13052,plain,
( c3_1(a582)
| c2_1(a582)
| c0_1(a582)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_12927]) ).
tcf(c_13066,plain,
( c0_1(a573)
| c1_1(a573)
| ~ iPr_def_16
| ~ c3_1(a573) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13102,plain,
( c3_1(a584)
| ~ iPr_def_27
| ~ c2_1(a584)
| ~ c1_1(a584) ),
inference(instantiation,[status(thm)],[c_12904]) ).
tcf(c_13108,plain,
( c3_1(a536)
| ~ iPr_def_27
| ~ c2_1(a536)
| ~ c1_1(a536) ),
inference(instantiation,[status(thm)],[c_12904]) ).
tcf(c_13129,plain,
( c3_1(a546)
| c1_1(a546)
| ~ iPr_def_14
| ~ c2_1(a546) ),
inference(instantiation,[status(thm)],[c_12882]) ).
tcf(c_13146,plain,
( c3_1(a568)
| c1_1(a568)
| ~ iPr_def_14
| ~ c2_1(a568) ),
inference(instantiation,[status(thm)],[c_12882]) ).
tcf(c_13147,plain,
( c1_1(a568)
| ~ iPr_def_18
| ~ c3_1(a568)
| ~ c2_1(a568) ),
inference(instantiation,[status(thm)],[c_12888]) ).
tcf(c_13156,plain,
( c3_1(a573)
| c2_1(a573)
| c1_1(a573)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_12889]) ).
tcf(c_13158,plain,
( c3_1(a582)
| c2_1(a582)
| c1_1(a582)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_12889]) ).
tcf(c_13170,plain,
( c3_1(a560)
| c0_1(a560)
| ~ iPr_def_24
| ~ c1_1(a560) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_13173,plain,
( c3_1(a576)
| c0_1(a576)
| ~ iPr_def_24
| ~ c1_1(a576) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_13178,plain,
( c3_1(a544)
| c0_1(a544)
| ~ iPr_def_24
| ~ c1_1(a544) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_13179,plain,
( c3_1(a562)
| c0_1(a562)
| ~ iPr_def_24
| ~ c1_1(a562) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_13202,plain,
( c2_1(a544)
| ~ iPr_def_12
| ~ c0_1(a544)
| ~ c1_1(a544) ),
inference(instantiation,[status(thm)],[c_12879]) ).
tcf(c_13252,plain,
( ~ iPr_def_21
| ~ c3_1(a538)
| ~ c2_1(a538)
| ~ c1_1(a538) ),
inference(instantiation,[status(thm)],[c_12892]) ).
tcf(c_13253,plain,
( ~ iPr_def_21
| ~ c3_1(a549)
| ~ c2_1(a549)
| ~ c1_1(a549) ),
inference(instantiation,[status(thm)],[c_12892]) ).
tcf(c_13254,plain,
( ~ iPr_def_21
| ~ c3_1(a551)
| ~ c2_1(a551)
| ~ c1_1(a551) ),
inference(instantiation,[status(thm)],[c_12892]) ).
tcf(c_13259,plain,
( ~ iPr_def_21
| ~ c3_1(a536)
| ~ c2_1(a536)
| ~ c1_1(a536) ),
inference(instantiation,[status(thm)],[c_12892]) ).
tcf(c_13284,plain,
( c3_1(a584)
| ~ iPr_def_28
| ~ c0_1(a584)
| ~ c1_1(a584) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_13294,plain,
( c1_1(a571)
| ~ iPr_def_15
| ~ c3_1(a571)
| ~ c0_1(a571) ),
inference(instantiation,[status(thm)],[c_12883]) ).
tcf(c_13302,plain,
( c3_1(a569)
| c2_1(a569)
| c1_1(a569)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_12889]) ).
tcf(c_13305,plain,
( c0_1(a569)
| c1_1(a569)
| ~ iPr_def_16
| ~ c3_1(a569) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13320,plain,
( c2_1(a569)
| c1_1(a569)
| ~ iPr_def_11
| ~ c3_1(a569) ),
inference(instantiation,[status(thm)],[c_12878]) ).
tcf(c_13341,plain,
( c2_1(a571)
| c1_1(a571)
| ~ iPr_def_29
| ~ c0_1(a571) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13344,plain,
( c2_1(a537)
| c1_1(a537)
| ~ iPr_def_29
| ~ c0_1(a537) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13345,plain,
( c2_1(a555)
| c1_1(a555)
| ~ iPr_def_29
| ~ c0_1(a555) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13347,plain,
( c2_1(a583)
| c1_1(a583)
| ~ iPr_def_29
| ~ c0_1(a583) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13349,plain,
( c2_1(a582)
| c1_1(a582)
| ~ iPr_def_29
| ~ c0_1(a582) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13458,plain,
( c0_1(a570)
| c1_1(a570)
| ~ iPr_def_16
| ~ c3_1(a570) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13462,plain,
( c0_1(a589)
| c1_1(a589)
| ~ iPr_def_16
| ~ c3_1(a589) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13464,plain,
( c0_1(a551)
| c1_1(a551)
| ~ iPr_def_16
| ~ c3_1(a551) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_13474,plain,
( c3_1(a572)
| ~ iPr_def_28
| ~ c0_1(a572)
| ~ c1_1(a572) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_13480,plain,
( ~ iPr_def_21
| ~ c3_1(a570)
| ~ c2_1(a570)
| ~ c1_1(a570) ),
inference(instantiation,[status(thm)],[c_12892]) ).
tcf(c_13503,plain,
( c3_1(a572)
| c1_1(a572)
| ~ iPr_def_30
| ~ c0_1(a572) ),
inference(instantiation,[status(thm)],[c_12914]) ).
tcf(c_13538,plain,
( c2_1(a545)
| ~ iPr_def_20
| ~ c3_1(a545)
| ~ c1_1(a545) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13541,plain,
( c2_1(a555)
| ~ iPr_def_20
| ~ c3_1(a555)
| ~ c1_1(a555) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13558,plain,
( c0_1(a551)
| c1_1(a551)
| ~ iPr_def_31
| ~ c2_1(a551) ),
inference(instantiation,[status(thm)],[c_12918]) ).
tcf(c_13566,plain,
( c3_1(a545)
| c2_1(a545)
| ~ iPr_def_33
| ~ c1_1(a545) ),
inference(instantiation,[status(thm)],[c_12923]) ).
tcf(c_13568,plain,
( c3_1(a544)
| c2_1(a544)
| ~ iPr_def_33
| ~ c1_1(a544) ),
inference(instantiation,[status(thm)],[c_12923]) ).
tcf(c_13690,plain,
( c3_1(a544)
| ~ iPr_def_28
| ~ c0_1(a544)
| ~ c1_1(a544) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_13699,plain,
( c2_1(a570)
| ~ iPr_def_20
| ~ c3_1(a570)
| ~ c1_1(a570) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13701,plain,
( c2_1(a570)
| c1_1(a570)
| ~ iPr_def_29
| ~ c0_1(a570) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13762,plain,
( c2_1(a572)
| ~ iPr_def_20
| ~ c3_1(a572)
| ~ c1_1(a572) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13764,plain,
( c2_1(a572)
| c1_1(a572)
| ~ iPr_def_29
| ~ c0_1(a572) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_13874,plain,
( c3_1(a586)
| ~ iPr_def_27
| ~ c2_1(a586)
| ~ c1_1(a586) ),
inference(instantiation,[status(thm)],[c_12904]) ).
tcf(c_13933,plain,
( c2_1(a571)
| ~ iPr_def_20
| ~ c3_1(a571)
| ~ c1_1(a571) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13954,plain,
( c2_1(a586)
| c0_1(a586)
| ~ iPr_def_34
| ~ c3_1(a586) ),
inference(instantiation,[status(thm)],[c_12925]) ).
tcf(c_13956,plain,
( c3_1(a574)
| ~ iPr_def_27
| ~ c2_1(a574)
| ~ c1_1(a574) ),
inference(instantiation,[status(thm)],[c_12904]) ).
tcf(c_13958,plain,
( c3_1(a574)
| ~ iPr_def_28
| ~ c0_1(a574)
| ~ c1_1(a574) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_13981,plain,
( c3_1(a586)
| c2_1(a586)
| ~ iPr_def_33
| ~ c1_1(a586) ),
inference(instantiation,[status(thm)],[c_12923]) ).
tcf(c_13982,plain,
( c2_1(a586)
| ~ iPr_def_20
| ~ c3_1(a586)
| ~ c1_1(a586) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_13988,plain,
( c3_1(a586)
| c2_1(a586)
| c0_1(a586)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_12927]) ).
tcf(c_14054,plain,
( c3_1(a574)
| c2_1(a574)
| ~ iPr_def_32
| ~ c0_1(a574) ),
inference(instantiation,[status(thm)],[c_12921]) ).
tcf(c_14060,plain,
( c2_1(a574)
| ~ iPr_def_12
| ~ c0_1(a574)
| ~ c1_1(a574) ),
inference(instantiation,[status(thm)],[c_12879]) ).
tcf(c_14069,plain,
( c2_1(a548)
| ~ iPr_def_20
| ~ c3_1(a548)
| ~ c1_1(a548) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_14076,plain,
( c2_1(a548)
| c0_1(a548)
| ~ iPr_def_34
| ~ c3_1(a548) ),
inference(instantiation,[status(thm)],[c_12925]) ).
tcf(c_14080,plain,
( c0_1(a548)
| c1_1(a548)
| ~ iPr_def_16
| ~ c3_1(a548) ),
inference(instantiation,[status(thm)],[c_12885]) ).
tcf(c_14099,plain,
( c2_1(a591)
| ~ iPr_def_20
| ~ c3_1(a591)
| ~ c1_1(a591) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_14136,plain,
( c1_1(a550)
| ~ iPr_def_15
| ~ c3_1(a550)
| ~ c0_1(a550) ),
inference(instantiation,[status(thm)],[c_12883]) ).
tcf(c_14142,plain,
( c1_1(a570)
| ~ iPr_def_15
| ~ c3_1(a570)
| ~ c0_1(a570) ),
inference(instantiation,[status(thm)],[c_12883]) ).
tcf(c_14148,plain,
( c1_1(a551)
| ~ iPr_def_15
| ~ c3_1(a551)
| ~ c0_1(a551) ),
inference(instantiation,[status(thm)],[c_12883]) ).
tcf(c_14216,plain,
( c1_1(a572)
| ~ iPr_def_25
| ~ c2_1(a572)
| ~ c0_1(a572) ),
inference(instantiation,[status(thm)],[c_12901]) ).
tcf(c_14259,plain,
( c3_1(a559)
| ~ iPr_def_27
| ~ c2_1(a559)
| ~ c1_1(a559) ),
inference(instantiation,[status(thm)],[c_12904]) ).
tcf(c_14260,plain,
( c3_1(a559)
| c1_1(a559)
| ~ iPr_def_30
| ~ c0_1(a559) ),
inference(instantiation,[status(thm)],[c_12914]) ).
tcf(c_14261,plain,
( c3_1(a559)
| ~ iPr_def_28
| ~ c0_1(a559)
| ~ c1_1(a559) ),
inference(instantiation,[status(thm)],[c_12908]) ).
tcf(c_14263,plain,
( c1_1(a559)
| ~ iPr_def_25
| ~ c2_1(a559)
| ~ c0_1(a559) ),
inference(instantiation,[status(thm)],[c_12901]) ).
tcf(c_14287,plain,
( c3_1(a590)
| c0_1(a590)
| ~ iPr_def_17
| ~ c2_1(a590) ),
inference(instantiation,[status(thm)],[c_12886]) ).
tcf(c_14295,negated_conjecture,
( iPr_def_34
| iPr_def_20 ),
inference(global_subsumption_just,[status(thm)],[c_12926,c_236,c_208,c_207,c_206,c_204,c_203,c_202,c_188,c_51,c_50,c_235,c_234,c_187,c_152,c_151,c_150,c_52,c_12880,c_12891,c_12898,c_12910,c_12911,c_12917,c_12926,c_12936,c_12966,c_13010,c_13009,c_13015,c_13158,c_13179,c_13253]) ).
tcf(c_14299,plain,
( c2_1(a552)
| c1_1(a552)
| ~ iPr_def_19
| ~ hskp8 ),
inference(superposition,[status(thm)],[c_12889,c_82]) ).
tcf(c_14302,plain,
( c2_1(a572)
| c1_1(a572)
| ~ iPr_def_19
| ~ hskp18 ),
inference(superposition,[status(thm)],[c_12889,c_122]) ).
tcf(c_14303,plain,
( c2_1(a575)
| c1_1(a575)
| ~ iPr_def_19
| ~ hskp20 ),
inference(superposition,[status(thm)],[c_12889,c_132]) ).
tcf(c_14307,plain,
( c2_1(a582)
| c1_1(a582)
| ~ iPr_def_19
| ~ hskp25 ),
inference(superposition,[status(thm)],[c_12889,c_150]) ).
tcf(c_14309,plain,
( c2_1(a590)
| c1_1(a590)
| ~ iPr_def_19
| ~ hskp29 ),
inference(superposition,[status(thm)],[c_12889,c_166]) ).
tcf(c_14310,plain,
( c2_1(a596)
| c1_1(a596)
| ~ iPr_def_19
| ~ hskp32 ),
inference(superposition,[status(thm)],[c_12889,c_179]) ).
tcf(c_14340,plain,
( ~ iPr_def_10
| ~ c2_1(a559)
| ~ c0_1(a559)
| ~ c1_1(a559) ),
inference(instantiation,[status(thm)],[c_12877]) ).
tcf(c_14348,plain,
( c2_1(a583)
| ~ iPr_def_20
| ~ c3_1(a583)
| ~ c1_1(a583) ),
inference(instantiation,[status(thm)],[c_12890]) ).
tcf(c_14404,plain,
( c1_1(a550)
| ~ iPr_def_18
| ~ c3_1(a550)
| ~ c2_1(a550) ),
inference(instantiation,[status(thm)],[c_12888]) ).
tcf(c_14428,plain,
( c0_1(a570)
| ~ iPr_def_37
| ~ c3_1(a570)
| ~ c1_1(a570) ),
inference(instantiation,[status(thm)],[c_12930]) ).
tcf(c_14457,plain,
( c3_1(a545)
| c2_1(a545)
| ~ iPr_def_35
| ~ hskp4 ),
inference(superposition,[status(thm)],[c_12927,c_68]) ).
tcf(c_14471,plain,
( c3_1(a591)
| c2_1(a591)
| ~ iPr_def_35
| ~ hskp30 ),
inference(superposition,[status(thm)],[c_12927,c_172]) ).
tcf(c_14506,plain,
( c3_1(a586)
| c0_1(a586)
| ~ iPr_def_17
| ~ c2_1(a586) ),
inference(instantiation,[status(thm)],[c_12886]) ).
tcf(c_14516,plain,
( c3_1(a575)
| c0_1(a575)
| ~ iPr_def_24
| ~ c1_1(a575) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_14518,plain,
( c3_1(a586)
| c0_1(a586)
| ~ iPr_def_24
| ~ c1_1(a586) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_14524,plain,
( c2_1(a550)
| c1_1(a550)
| ~ iPr_def_29
| ~ c0_1(a550) ),
inference(instantiation,[status(thm)],[c_12912]) ).
tcf(c_14577,plain,
( c0_1(a551)
| ~ iPr_def_37
| ~ c3_1(a551)
| ~ c1_1(a551) ),
inference(instantiation,[status(thm)],[c_12930]) ).
tcf(c_14592,plain,
( c2_1(a554)
| c1_1(a554)
| ~ iPr_def_36
| ~ hskp9 ),
inference(superposition,[status(thm)],[c_12929,c_86]) ).
tcf(c_14597,plain,
( c2_1(a573)
| c1_1(a573)
| ~ iPr_def_36
| ~ hskp19 ),
inference(superposition,[status(thm)],[c_12929,c_127]) ).
tcf(c_14598,plain,
( c2_1(a575)
| c1_1(a575)
| ~ iPr_def_36
| ~ hskp20 ),
inference(superposition,[status(thm)],[c_12929,c_131]) ).
tcf(c_14647,plain,
( c3_1(a545)
| c0_1(a545)
| ~ iPr_def_24
| ~ c1_1(a545) ),
inference(instantiation,[status(thm)],[c_12899]) ).
tcf(c_14724,plain,
( c0_1(a589)
| ~ iPr_def_37
| ~ c3_1(a589)
| ~ c1_1(a589) ),
inference(instantiation,[status(thm)],[c_12930]) ).
tcf(c_14768,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14724,c_14647,c_14592,c_14597,c_14598,c_14577,c_14524,c_14518,c_14516,c_14506,c_14457,c_14471,c_14428,c_14404,c_14348,c_14340,c_14299,c_14302,c_14303,c_14307,c_14309,c_14310,c_14295,c_14287,c_14263,c_14259,c_14260,c_14261,c_14216,c_14148,c_14142,c_14136,c_14099,c_14076,c_14080,c_14069,c_14054,c_14060,c_13981,c_13982,c_13988,c_13956,c_13958,c_13954,c_13933,c_13874,c_13762,c_13764,c_13699,c_13701,c_13690,c_13568,c_13566,c_13558,c_13541,c_13538,c_13503,c_13480,c_13474,c_13464,c_13462,c_13458,c_13349,c_13347,c_13345,c_13344,c_13341,c_13320,c_13302,c_13305,c_13294,c_13284,c_13259,c_13254,c_13253,c_13252,c_13202,c_13178,c_13173,c_13170,c_13156,c_13146,c_13147,c_13129,c_13108,c_13102,c_13066,c_13052,c_13046,c_13044,c_13040,c_13034,c_13018,c_13015,c_13009,c_13010,c_13006,c_13005,c_13001,c_12998,c_12996,c_12997,c_12992,c_12981,c_12975,c_12970,c_12966,c_12950,c_12948,c_12946,c_12944,c_12943,c_12942,c_12936,c_12935,c_12934,c_12931,c_12928,c_12924,c_12922,c_12919,c_12917,c_12916,c_12915,c_12913,c_12911,c_12910,c_12909,c_12906,c_12900,c_12898,c_12891,c_12887,c_12884,c_12880,c_12939,c_5936,c_5906,c_5896,c_5886,c_5876,c_5866,c_5856,c_5065,c_5035,c_5005,c_4888,c_4878,c_1883,c_1873,c_1863,c_1844,c_1834,c_52,c_66,c_68,c_70,c_72,c_74,c_76,c_80,c_83,c_84,c_87,c_88,c_95,c_96,c_110,c_111,c_112,c_120,c_122,c_124,c_126,c_127,c_128,c_130,c_131,c_132,c_135,c_136,c_150,c_151,c_152,c_156,c_164,c_166,c_167,c_168,c_171,c_180,c_187,c_198,c_199,c_211,c_214,c_226,c_247,c_250,c_254,c_50,c_51,c_67,c_71,c_75,c_78,c_79,c_94,c_118,c_119,c_123,c_134,c_154,c_155,c_162,c_163,c_170,c_178,c_182,c_183,c_184,c_186,c_188,c_190,c_191,c_192,c_200,c_202,c_203,c_204,c_206,c_207,c_208,c_210,c_212,c_215,c_216,c_227,c_228,c_248,c_251,c_252,c_255,c_256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n016.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 01:15:58 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.49 Running first-order theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50
% 0.16/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.50
% 0.16/0.50 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 1.09/1.49 % SZS status Started for theBenchmark.p
% 1.09/1.49 % SZS status Theorem for theBenchmark.p
% 1.09/1.49
% 1.09/1.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.49
% 1.09/1.49 % ------ iProver source info
% 1.09/1.49
% 1.09/1.49 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.49 % git: non_committed_changes: false
% 1.09/1.49
% 1.09/1.49 % ------ Parsing...
% 1.09/1.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.09/1.49
% 1.09/1.49 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.09/1.49
% 1.09/1.49 % ------ Preprocessing... gs_s sp: 82 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.09/1.49 % ------ Proving...
% 1.09/1.49 % ------ Problem Properties
% 1.09/1.49
% 1.09/1.49 %
% 1.09/1.49 % clauses 233
% 1.09/1.49 % conjectures 221
% 1.09/1.49 % EPR 233
% 1.09/1.49 % Horn 162
% 1.09/1.49 % unary 0
% 1.09/1.49 % binary 148
% 1.09/1.49 % lits 581
% 1.09/1.49 % lits eq 0
% 1.09/1.49 % fd_pure 0
% 1.09/1.49 % fd_pseudo 0
% 1.09/1.49 % fd_cond 0
% 1.09/1.49 % fd_pseudo_cond 0
% 1.09/1.49 % AC symbols 0
% 1.09/1.49
% 1.09/1.49 % ------ Input Options Time Limit: Unbounded
% 1.09/1.49
% 1.09/1.49
% 1.09/1.49 % ------
% 1.09/1.49 % Current options:
% 1.09/1.49 % ------
% 1.09/1.49
% 1.09/1.49
% 1.09/1.49 %
% 1.09/1.49
% 1.09/1.49 % ------ Proving...
% 1.09/1.49 %
% 1.09/1.49
% 1.09/1.49 % SZS status Theorem for theBenchmark.p
% 1.09/1.49
% 1.09/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.64/1.50
% 4.64/1.50
%------------------------------------------------------------------------------