%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN443+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 : n005.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 03:40:14 PM UTC 2026
% Result : Theorem 1.36s 1.30s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f191ERROR: Could not build tree for root c_15298ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp18
| hskp26
| hskp7 )
& ( hskp23
| hskp24
| hskp2 )
& ( hskp17
| hskp27
| hskp30 )
& ( hskp7
| hskp27
| hskp30 )
& ( hskp18
| hskp2
| hskp30 )
& ( hskp22
| hskp11 )
& ( hskp7
| hskp20
| hskp11 )
& ( hskp25
| hskp2
| hskp15 )
& ( hskp9
| hskp7
| hskp28 )
& ( hskp9
| hskp1
| hskp28 )
& ( ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c1_1(X84) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| ~ c1_1(X82)
| ~ c0_1(X82) ) ) )
& ( hskp25
| hskp27
| ! [X81] :
( ndr1_0
=> ( ~ c2_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) ) )
& ( hskp14
| hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| c2_1(X80) ) ) )
& ( hskp19
| hskp22
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) ) )
& ( hskp24
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) ) )
& ( hskp4
| hskp2
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp22
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| c3_1(X75)
| c2_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c3_1(X74)
| c2_1(X74) ) ) )
& ( hskp0
| hskp1
| ! [X73] :
( ndr1_0
=> ( ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp23
| hskp2
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp19
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| ~ c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp16
| ! [X69] :
( ndr1_0
=> ( ~ c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c1_1(X68) ) ) )
& ( ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| ~ c0_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c2_1(X65)
| ~ c0_1(X65)
| c1_1(X65) ) ) )
& ( hskp13
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c2_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| ~ c0_1(X63)
| c1_1(X63) ) ) )
& ( hskp29
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c3_1(X61)
| c1_1(X61) ) ) )
& ( hskp29
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp5
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp0
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| c2_1(X55)
| c1_1(X55) ) ) )
& ( hskp22
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| c2_1(X53)
| c1_1(X53) ) ) )
& ( hskp21
| hskp0
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp13
| hskp1
| ! [X51] :
( ndr1_0
=> ( ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ) ) )
& ( hskp20
| hskp29
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp19
| hskp1
| ! [X49] :
( ndr1_0
=> ( c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) ) )
& ( hskp18
| hskp30
| ! [X48] :
( ndr1_0
=> ( c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( hskp17
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c1_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) ) )
& ( hskp16
| hskp9
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| ~ c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp5
| ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c2_1(X43)
| c0_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( ~ c2_1(X42)
| ~ c0_1(X42)
| c3_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c0_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp4
| hskp15
| ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| ~ c0_1(X38)
| c2_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c2_1(X37)
| c3_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( hskp14
| hskp29
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| c3_1(X35)
| c0_1(X35) ) ) )
& ( hskp3
| ! [X34] :
( ndr1_0
=> ( ~ c0_1(X34)
| c3_1(X34)
| c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| c3_1(X33)
| c0_1(X33) ) ) )
& ( hskp0
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( hskp13
| hskp12
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp11
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp10
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp9
| ! [X26] :
( ndr1_0
=> ( ~ c0_1(X26)
| c3_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp27
| hskp28
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c0_1(X23)
| c3_1(X23)
| c1_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c1_1(X22)
| c0_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp3
| hskp9
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp8
| hskp27
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp7
| hskp6
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp0
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp1
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c3_1(X7)
| c2_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c2_1(X4)
| c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a33)
& c2_1(a33)
& c0_1(a33)
& ndr1_0 )
| ~ hskp30 )
& ( ( c2_1(a25)
& c1_1(a25)
& c0_1(a25)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a15)
& c1_1(a15)
& c0_1(a15)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a10)
& c2_1(a10)
& c1_1(a10)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a92)
& ~ c0_1(a92)
& c2_1(a92)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a64)
& c3_1(a64)
& c1_1(a64)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c1_1(a58)
& c3_1(a58)
& c0_1(a58)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a52)
& ~ c1_1(a52)
& c0_1(a52)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a43)
& ~ c1_1(a43)
& c2_1(a43)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a42)
& c3_1(a42)
& c2_1(a42)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a38)
& c3_1(a38)
& c1_1(a38)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c1_1(a36)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c2_1(a34)
& ~ c1_1(a34)
& c3_1(a34)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a32)
& ~ c0_1(a32)
& c3_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a31)
& ~ c0_1(a31)
& c2_1(a31)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a27)
& c1_1(a27)
& c0_1(a27)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a26)
& ~ c1_1(a26)
& ~ c0_1(a26)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a22)
& ~ c2_1(a22)
& ~ c0_1(a22)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a21)
& ~ c1_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a19)
& c1_1(a19)
& c0_1(a19)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a18)
& ~ c1_1(a18)
& ~ c0_1(a18)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a12)
& ~ c2_1(a12)
& c1_1(a12)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a9)
& ~ c0_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a8)
& ~ c2_1(a8)
& c0_1(a8)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a6)
& c2_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a5)
& c3_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a4)
& ~ c0_1(a4)
& c3_1(a4)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a3)
& c2_1(a3)
& c0_1(a3)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a2)
& c3_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a1)
& c2_1(a1)
& c1_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp18
| hskp26
| hskp7 )
& ( hskp23
| hskp24
| hskp2 )
& ( hskp17
| hskp27
| hskp30 )
& ( hskp7
| hskp27
| hskp30 )
& ( hskp18
| hskp2
| hskp30 )
& ( hskp22
| hskp11 )
& ( hskp7
| hskp20
| hskp11 )
& ( hskp25
| hskp2
| hskp15 )
& ( hskp9
| hskp7
| hskp28 )
& ( hskp9
| hskp1
| hskp28 )
& ( ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c1_1(X84) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| ~ c1_1(X82)
| ~ c0_1(X82) ) ) )
& ( hskp25
| hskp27
| ! [X81] :
( ndr1_0
=> ( ~ c2_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) ) )
& ( hskp14
| hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| c2_1(X80) ) ) )
& ( hskp19
| hskp22
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) ) )
& ( hskp24
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) ) )
& ( hskp4
| hskp2
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp22
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| c3_1(X75)
| c2_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c3_1(X74)
| c2_1(X74) ) ) )
& ( hskp0
| hskp1
| ! [X73] :
( ndr1_0
=> ( ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp23
| hskp2
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp19
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| ~ c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp16
| ! [X69] :
( ndr1_0
=> ( ~ c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c1_1(X68) ) ) )
& ( ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| ~ c0_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c2_1(X65)
| ~ c0_1(X65)
| c1_1(X65) ) ) )
& ( hskp13
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c2_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| ~ c0_1(X63)
| c1_1(X63) ) ) )
& ( hskp29
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c3_1(X61)
| c1_1(X61) ) ) )
& ( hskp29
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp5
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp0
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| c2_1(X55)
| c1_1(X55) ) ) )
& ( hskp22
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| c2_1(X53)
| c1_1(X53) ) ) )
& ( hskp21
| hskp0
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp13
| hskp1
| ! [X51] :
( ndr1_0
=> ( ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ) ) )
& ( hskp20
| hskp29
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp19
| hskp1
| ! [X49] :
( ndr1_0
=> ( c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) ) )
& ( hskp18
| hskp30
| ! [X48] :
( ndr1_0
=> ( c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( hskp17
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c1_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) ) )
& ( hskp16
| hskp9
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| ~ c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp5
| ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c2_1(X43)
| c0_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( ~ c2_1(X42)
| ~ c0_1(X42)
| c3_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c0_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp4
| hskp15
| ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| ~ c0_1(X38)
| c2_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c2_1(X37)
| c3_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( hskp14
| hskp29
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| c3_1(X35)
| c0_1(X35) ) ) )
& ( hskp3
| ! [X34] :
( ndr1_0
=> ( ~ c0_1(X34)
| c3_1(X34)
| c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| c3_1(X33)
| c0_1(X33) ) ) )
& ( hskp0
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( hskp13
| hskp12
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp11
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp10
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp9
| ! [X26] :
( ndr1_0
=> ( ~ c0_1(X26)
| c3_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp27
| hskp28
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c0_1(X23)
| c3_1(X23)
| c1_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c1_1(X22)
| c0_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp3
| hskp9
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp8
| hskp27
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp7
| hskp6
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp0
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp1
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c3_1(X7)
| c2_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c2_1(X4)
| c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a33)
& c2_1(a33)
& c0_1(a33)
& ndr1_0 )
| ~ hskp30 )
& ( ( c2_1(a25)
& c1_1(a25)
& c0_1(a25)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a15)
& c1_1(a15)
& c0_1(a15)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a10)
& c2_1(a10)
& c1_1(a10)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a92)
& ~ c0_1(a92)
& c2_1(a92)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a64)
& c3_1(a64)
& c1_1(a64)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c1_1(a58)
& c3_1(a58)
& c0_1(a58)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a52)
& ~ c1_1(a52)
& c0_1(a52)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a43)
& ~ c1_1(a43)
& c2_1(a43)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a42)
& c3_1(a42)
& c2_1(a42)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a38)
& c3_1(a38)
& c1_1(a38)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c1_1(a36)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c2_1(a34)
& ~ c1_1(a34)
& c3_1(a34)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a32)
& ~ c0_1(a32)
& c3_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a31)
& ~ c0_1(a31)
& c2_1(a31)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a27)
& c1_1(a27)
& c0_1(a27)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a26)
& ~ c1_1(a26)
& ~ c0_1(a26)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a22)
& ~ c2_1(a22)
& ~ c0_1(a22)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a21)
& ~ c1_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a19)
& c1_1(a19)
& c0_1(a19)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a18)
& ~ c1_1(a18)
& ~ c0_1(a18)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a12)
& ~ c2_1(a12)
& c1_1(a12)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a9)
& ~ c0_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a8)
& ~ c2_1(a8)
& c0_1(a8)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a6)
& c2_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a5)
& c3_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a4)
& ~ c0_1(a4)
& c3_1(a4)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a3)
& c2_1(a3)
& c0_1(a3)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a2)
& c3_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a1)
& c2_1(a1)
& c1_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp18
| hskp26
| hskp7 )
& ( hskp23
| hskp24
| hskp2 )
& ( hskp17
| hskp27
| hskp30 )
& ( hskp7
| hskp27
| hskp30 )
& ( hskp18
| hskp2
| hskp30 )
& ( hskp22
| hskp11 )
& ( hskp7
| hskp20
| hskp11 )
& ( hskp25
| hskp2
| hskp15 )
& ( hskp9
| hskp7
| hskp28 )
& ( hskp9
| hskp1
| hskp28 )
& ( ! [X84] :
( ndr1_0
=> ( ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c1_1(X84) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c3_1(X83)
| ~ c1_1(X83)
| ~ c0_1(X83) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| ~ c1_1(X82)
| ~ c0_1(X82) ) ) )
& ( hskp25
| hskp27
| ! [X81] :
( ndr1_0
=> ( ~ c2_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) ) )
& ( hskp14
| hskp18
| ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c1_1(X80)
| c2_1(X80) ) ) )
& ( hskp19
| hskp22
| ! [X79] :
( ndr1_0
=> ( ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) ) )
& ( hskp24
| ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| ~ c0_1(X78)
| c3_1(X78) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) ) )
& ( hskp4
| hskp2
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ) ) )
& ( hskp22
| ! [X75] :
( ndr1_0
=> ( ~ c1_1(X75)
| c3_1(X75)
| c2_1(X75) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| c3_1(X74)
| c2_1(X74) ) ) )
& ( hskp0
| hskp1
| ! [X73] :
( ndr1_0
=> ( ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ) ) )
& ( hskp23
| hskp2
| ! [X72] :
( ndr1_0
=> ( ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) ) )
& ( hskp19
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| ~ c2_1(X71)
| ~ c1_1(X71) ) )
| ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| ~ c2_1(X70)
| c1_1(X70) ) ) )
& ( hskp16
| ! [X69] :
( ndr1_0
=> ( ~ c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ~ c0_1(X68)
| c1_1(X68) ) ) )
& ( ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c1_1(X66)
| ~ c0_1(X66)
| c2_1(X66) ) )
| ! [X65] :
( ndr1_0
=> ( ~ c2_1(X65)
| ~ c0_1(X65)
| c1_1(X65) ) ) )
& ( hskp13
| ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c2_1(X64) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| ~ c0_1(X63)
| c1_1(X63) ) ) )
& ( hskp29
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X61] :
( ndr1_0
=> ( ~ c0_1(X61)
| c3_1(X61)
| c1_1(X61) ) ) )
& ( hskp29
| ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) ) )
| ! [X59] :
( ndr1_0
=> ( ~ c3_1(X59)
| c2_1(X59)
| c1_1(X59) ) ) )
& ( hskp5
| ! [X58] :
( ndr1_0
=> ( ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) ) )
& ( hskp0
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c3_1(X55)
| c2_1(X55)
| c1_1(X55) ) ) )
& ( hskp22
| ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| ~ c2_1(X54)
| c1_1(X54) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c3_1(X53)
| c2_1(X53)
| c1_1(X53) ) ) )
& ( hskp21
| hskp0
| ! [X52] :
( ndr1_0
=> ( ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ) ) )
& ( hskp13
| hskp1
| ! [X51] :
( ndr1_0
=> ( ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ) ) )
& ( hskp20
| hskp29
| ! [X50] :
( ndr1_0
=> ( ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) ) )
& ( hskp19
| hskp1
| ! [X49] :
( ndr1_0
=> ( c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) ) )
& ( hskp18
| hskp30
| ! [X48] :
( ndr1_0
=> ( c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) ) )
& ( hskp17
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| c3_1(X47)
| c1_1(X47) ) )
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) ) )
& ( hskp16
| hskp9
| ! [X45] :
( ndr1_0
=> ( ~ c3_1(X45)
| ~ c2_1(X45)
| c0_1(X45) ) ) )
& ( hskp5
| ! [X44] :
( ndr1_0
=> ( ~ c2_1(X44)
| ~ c0_1(X44)
| c1_1(X44) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| ~ c2_1(X43)
| c0_1(X43) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( ~ c2_1(X42)
| ~ c0_1(X42)
| c3_1(X42) ) )
| ! [X41] :
( ndr1_0
=> ( ~ c2_1(X41)
| ~ c0_1(X41)
| c1_1(X41) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c3_1(X40)
| ~ c2_1(X40)
| c0_1(X40) ) ) )
& ( hskp4
| hskp15
| ! [X39] :
( ndr1_0
=> ( ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) ) )
& ( ! [X38] :
( ndr1_0
=> ( ~ c3_1(X38)
| ~ c0_1(X38)
| c2_1(X38) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c2_1(X37)
| c3_1(X37)
| c1_1(X37) ) )
| ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) ) )
& ( hskp14
| hskp29
| ! [X35] :
( ndr1_0
=> ( ~ c2_1(X35)
| c3_1(X35)
| c0_1(X35) ) ) )
& ( hskp3
| ! [X34] :
( ndr1_0
=> ( ~ c0_1(X34)
| c3_1(X34)
| c1_1(X34) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c2_1(X33)
| c3_1(X33)
| c0_1(X33) ) ) )
& ( hskp0
| ! [X32] :
( ndr1_0
=> ( ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c1_1(X31)
| c3_1(X31)
| c0_1(X31) ) ) )
& ( hskp13
| hskp12
| ! [X30] :
( ndr1_0
=> ( ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) ) )
& ( hskp6
| hskp11
| ! [X29] :
( ndr1_0
=> ( ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) ) )
& ( hskp10
| ! [X28] :
( ndr1_0
=> ( ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) ) )
& ( hskp9
| ! [X26] :
( ndr1_0
=> ( ~ c0_1(X26)
| c3_1(X26)
| c1_1(X26) ) )
| ! [X25] :
( ndr1_0
=> ( ~ c3_1(X25)
| c2_1(X25)
| c0_1(X25) ) ) )
& ( hskp27
| hskp28
| ! [X24] :
( ndr1_0
=> ( ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( ~ c0_1(X23)
| c3_1(X23)
| c1_1(X23) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c2_1(X22)
| ~ c1_1(X22)
| c0_1(X22) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c1_1(X21)
| c2_1(X21)
| c0_1(X21) ) ) )
& ( hskp6
| ! [X20] :
( ndr1_0
=> ( ~ c3_1(X20)
| c2_1(X20)
| c0_1(X20) ) )
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) ) )
& ( hskp3
| hskp9
| ! [X18] :
( ndr1_0
=> ( ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) ) )
& ( hskp8
| hskp27
| ! [X17] :
( ndr1_0
=> ( ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ) ) )
& ( hskp7
| hskp6
| ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( hskp0
| hskp5
| ! [X15] :
( ndr1_0
=> ( ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) ) )
& ( hskp4
| ! [X14] :
( ndr1_0
=> ( c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) ) )
& ( hskp3
| ! [X13] :
( ndr1_0
=> ( ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) ) )
& ( hskp2
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) ) )
& ( hskp1
| ! [X9] :
( ndr1_0
=> ( ~ c2_1(X9)
| ~ c0_1(X9)
| c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c0_1(X7)
| c3_1(X7)
| c2_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) ) )
| ! [X5] :
( ndr1_0
=> ( c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) ) )
& ( hskp0
| ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| c2_1(X4)
| c0_1(X4) ) )
| ! [X3] :
( ndr1_0
=> ( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) )
| ! [X1] :
( ndr1_0
=> ( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) )
| ! [X0] :
( ndr1_0
=> ( c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) ) )
& ( ( c3_1(a33)
& c2_1(a33)
& c0_1(a33)
& ndr1_0 )
| ~ hskp30 )
& ( ( c2_1(a25)
& c1_1(a25)
& c0_1(a25)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a15)
& c1_1(a15)
& c0_1(a15)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a10)
& c2_1(a10)
& c1_1(a10)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a92)
& ~ c0_1(a92)
& c2_1(a92)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a64)
& c3_1(a64)
& c1_1(a64)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c1_1(a58)
& c3_1(a58)
& c0_1(a58)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a52)
& ~ c1_1(a52)
& c0_1(a52)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a43)
& ~ c1_1(a43)
& c2_1(a43)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a42)
& c3_1(a42)
& c2_1(a42)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a38)
& c3_1(a38)
& c1_1(a38)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c1_1(a36)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c2_1(a34)
& ~ c1_1(a34)
& c3_1(a34)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a32)
& ~ c0_1(a32)
& c3_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a31)
& ~ c0_1(a31)
& c2_1(a31)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a27)
& c1_1(a27)
& c0_1(a27)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a26)
& ~ c1_1(a26)
& ~ c0_1(a26)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a22)
& ~ c2_1(a22)
& ~ c0_1(a22)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a21)
& ~ c1_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a19)
& c1_1(a19)
& c0_1(a19)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a18)
& ~ c1_1(a18)
& ~ c0_1(a18)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a12)
& ~ c2_1(a12)
& c1_1(a12)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a9)
& ~ c0_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a8)
& ~ c2_1(a8)
& c0_1(a8)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a6)
& c2_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a5)
& c3_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a4)
& ~ c0_1(a4)
& c3_1(a4)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a3)
& c2_1(a3)
& c0_1(a3)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a2)
& c3_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a1)
& c2_1(a1)
& c1_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( hskp18
| hskp26
| hskp7 )
& ( hskp23
| hskp24
| hskp2 )
& ( hskp17
| hskp27
| hskp30 )
& ( hskp7
| hskp27
| hskp30 )
& ( hskp18
| hskp2
| hskp30 )
& ( hskp22
| hskp11 )
& ( hskp7
| hskp20
| hskp11 )
& ( hskp25
| hskp2
| hskp15 )
& ( hskp9
| hskp7
| hskp28 )
& ( hskp9
| hskp1
| hskp28 )
& ( ! [X84] :
( ~ ndr1_0
| ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c1_1(X84) )
| ! [X83] :
( ~ ndr1_0
| ~ c3_1(X83)
| ~ c1_1(X83)
| ~ c0_1(X83) )
| ! [X82] :
( ~ ndr1_0
| ~ c2_1(X82)
| ~ c1_1(X82)
| ~ c0_1(X82) ) )
& ( hskp25
| hskp27
| ! [X81] :
( ~ ndr1_0
| ~ c2_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) )
& ( hskp14
| hskp18
| ! [X80] :
( ~ ndr1_0
| ~ c3_1(X80)
| ~ c1_1(X80)
| c2_1(X80) ) )
& ( hskp19
| hskp22
| ! [X79] :
( ~ ndr1_0
| ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) )
& ( hskp24
| ! [X78] :
( ~ ndr1_0
| ~ c2_1(X78)
| ~ c0_1(X78)
| c3_1(X78) )
| ! [X77] :
( ~ ndr1_0
| ~ c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) )
& ( hskp4
| hskp2
| ! [X76] :
( ~ ndr1_0
| ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ) )
& ( hskp22
| ! [X75] :
( ~ ndr1_0
| ~ c1_1(X75)
| c3_1(X75)
| c2_1(X75) )
| ! [X74] :
( ~ ndr1_0
| ~ c0_1(X74)
| c3_1(X74)
| c2_1(X74) ) )
& ( hskp0
| hskp1
| ! [X73] :
( ~ ndr1_0
| ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ) )
& ( hskp23
| hskp2
| ! [X72] :
( ~ ndr1_0
| ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
& ( hskp19
| ! [X71] :
( ~ ndr1_0
| ~ c3_1(X71)
| ~ c2_1(X71)
| ~ c1_1(X71) )
| ! [X70] :
( ~ ndr1_0
| ~ c3_1(X70)
| ~ c2_1(X70)
| c1_1(X70) ) )
& ( hskp16
| ! [X69] :
( ~ ndr1_0
| ~ c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) )
| ! [X68] :
( ~ ndr1_0
| ~ c3_1(X68)
| ~ c0_1(X68)
| c1_1(X68) ) )
& ( ! [X67] :
( ~ ndr1_0
| ~ c3_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67) )
| ! [X66] :
( ~ ndr1_0
| ~ c1_1(X66)
| ~ c0_1(X66)
| c2_1(X66) )
| ! [X65] :
( ~ ndr1_0
| ~ c2_1(X65)
| ~ c0_1(X65)
| c1_1(X65) ) )
& ( hskp13
| ! [X64] :
( ~ ndr1_0
| ~ c0_1(X64)
| c3_1(X64)
| c2_1(X64) )
| ! [X63] :
( ~ ndr1_0
| ~ c2_1(X63)
| ~ c0_1(X63)
| c1_1(X63) ) )
& ( hskp29
| ! [X62] :
( ~ ndr1_0
| ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c0_1(X62) )
| ! [X61] :
( ~ ndr1_0
| ~ c0_1(X61)
| c3_1(X61)
| c1_1(X61) ) )
& ( hskp29
| ! [X60] :
( ~ ndr1_0
| ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) )
| ! [X59] :
( ~ ndr1_0
| ~ c3_1(X59)
| c2_1(X59)
| c1_1(X59) ) )
& ( hskp5
| ! [X58] :
( ~ ndr1_0
| ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) )
| ! [X57] :
( ~ ndr1_0
| ~ c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) )
& ( hskp0
| ! [X56] :
( ~ ndr1_0
| ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) )
| ! [X55] :
( ~ ndr1_0
| ~ c3_1(X55)
| c2_1(X55)
| c1_1(X55) ) )
& ( hskp22
| ! [X54] :
( ~ ndr1_0
| ~ c3_1(X54)
| ~ c2_1(X54)
| c1_1(X54) )
| ! [X53] :
( ~ ndr1_0
| ~ c3_1(X53)
| c2_1(X53)
| c1_1(X53) ) )
& ( hskp21
| hskp0
| ! [X52] :
( ~ ndr1_0
| ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ) )
& ( hskp13
| hskp1
| ! [X51] :
( ~ ndr1_0
| ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ) )
& ( hskp20
| hskp29
| ! [X50] :
( ~ ndr1_0
| ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) )
& ( hskp19
| hskp1
| ! [X49] :
( ~ ndr1_0
| c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) )
& ( hskp18
| hskp30
| ! [X48] :
( ~ ndr1_0
| c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) )
& ( hskp17
| ! [X47] :
( ~ ndr1_0
| ~ c0_1(X47)
| c3_1(X47)
| c1_1(X47) )
| ! [X46] :
( ~ ndr1_0
| c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) )
& ( hskp16
| hskp9
| ! [X45] :
( ~ ndr1_0
| ~ c3_1(X45)
| ~ c2_1(X45)
| c0_1(X45) ) )
& ( hskp5
| ! [X44] :
( ~ ndr1_0
| ~ c2_1(X44)
| ~ c0_1(X44)
| c1_1(X44) )
| ! [X43] :
( ~ ndr1_0
| ~ c3_1(X43)
| ~ c2_1(X43)
| c0_1(X43) ) )
& ( ! [X42] :
( ~ ndr1_0
| ~ c2_1(X42)
| ~ c0_1(X42)
| c3_1(X42) )
| ! [X41] :
( ~ ndr1_0
| ~ c2_1(X41)
| ~ c0_1(X41)
| c1_1(X41) )
| ! [X40] :
( ~ ndr1_0
| ~ c3_1(X40)
| ~ c2_1(X40)
| c0_1(X40) ) )
& ( hskp4
| hskp15
| ! [X39] :
( ~ ndr1_0
| ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) )
& ( ! [X38] :
( ~ ndr1_0
| ~ c3_1(X38)
| ~ c0_1(X38)
| c2_1(X38) )
| ! [X37] :
( ~ ndr1_0
| ~ c2_1(X37)
| c3_1(X37)
| c1_1(X37) )
| ! [X36] :
( ~ ndr1_0
| ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) )
& ( hskp14
| hskp29
| ! [X35] :
( ~ ndr1_0
| ~ c2_1(X35)
| c3_1(X35)
| c0_1(X35) ) )
& ( hskp3
| ! [X34] :
( ~ ndr1_0
| ~ c0_1(X34)
| c3_1(X34)
| c1_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c2_1(X33)
| c3_1(X33)
| c0_1(X33) ) )
& ( hskp0
| ! [X32] :
( ~ ndr1_0
| ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) )
| ! [X31] :
( ~ ndr1_0
| ~ c1_1(X31)
| c3_1(X31)
| c0_1(X31) ) )
& ( hskp13
| hskp12
| ! [X30] :
( ~ ndr1_0
| ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) )
& ( hskp6
| hskp11
| ! [X29] :
( ~ ndr1_0
| ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) )
& ( hskp10
| ! [X28] :
( ~ ndr1_0
| ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) )
| ! [X27] :
( ~ ndr1_0
| ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) )
& ( hskp9
| ! [X26] :
( ~ ndr1_0
| ~ c0_1(X26)
| c3_1(X26)
| c1_1(X26) )
| ! [X25] :
( ~ ndr1_0
| ~ c3_1(X25)
| c2_1(X25)
| c0_1(X25) ) )
& ( hskp27
| hskp28
| ! [X24] :
( ~ ndr1_0
| ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ) )
& ( ! [X23] :
( ~ ndr1_0
| ~ c0_1(X23)
| c3_1(X23)
| c1_1(X23) )
| ! [X22] :
( ~ ndr1_0
| ~ c2_1(X22)
| ~ c1_1(X22)
| c0_1(X22) )
| ! [X21] :
( ~ ndr1_0
| ~ c1_1(X21)
| c2_1(X21)
| c0_1(X21) ) )
& ( hskp6
| ! [X20] :
( ~ ndr1_0
| ~ c3_1(X20)
| c2_1(X20)
| c0_1(X20) )
| ! [X19] :
( ~ ndr1_0
| ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
& ( hskp3
| hskp9
| ! [X18] :
( ~ ndr1_0
| ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) )
& ( hskp8
| hskp27
| ! [X17] :
( ~ ndr1_0
| ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ) )
& ( hskp7
| hskp6
| ! [X16] :
( ~ ndr1_0
| ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
& ( hskp0
| hskp5
| ! [X15] :
( ~ ndr1_0
| ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) )
& ( hskp4
| ! [X14] :
( ~ ndr1_0
| c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) )
& ( hskp3
| ! [X13] :
( ~ ndr1_0
| ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) )
| ! [X12] :
( ~ ndr1_0
| c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) )
& ( hskp2
| ! [X11] :
( ~ ndr1_0
| ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) )
| ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) )
& ( hskp1
| ! [X9] :
( ~ ndr1_0
| ~ c2_1(X9)
| ~ c0_1(X9)
| c1_1(X9) )
| ! [X8] :
( ~ ndr1_0
| c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) )
& ( ! [X7] :
( ~ ndr1_0
| ~ c0_1(X7)
| c3_1(X7)
| c2_1(X7) )
| ! [X6] :
( ~ ndr1_0
| ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) )
| ! [X5] :
( ~ ndr1_0
| c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) )
& ( hskp0
| ! [X4] :
( ~ ndr1_0
| c3_1(X4)
| c2_1(X4)
| c0_1(X4) )
| ! [X3] :
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) )
& ( ! [X2] :
( ~ ndr1_0
| ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ! [X1] :
( ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) )
& ( ( c3_1(a33)
& c2_1(a33)
& c0_1(a33)
& ndr1_0 )
| ~ hskp30 )
& ( ( c2_1(a25)
& c1_1(a25)
& c0_1(a25)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a15)
& c1_1(a15)
& c0_1(a15)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a10)
& c2_1(a10)
& c1_1(a10)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a92)
& ~ c0_1(a92)
& c2_1(a92)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a64)
& c3_1(a64)
& c1_1(a64)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c1_1(a58)
& c3_1(a58)
& c0_1(a58)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a52)
& ~ c1_1(a52)
& c0_1(a52)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a43)
& ~ c1_1(a43)
& c2_1(a43)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a42)
& c3_1(a42)
& c2_1(a42)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a38)
& c3_1(a38)
& c1_1(a38)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c1_1(a36)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c2_1(a34)
& ~ c1_1(a34)
& c3_1(a34)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a32)
& ~ c0_1(a32)
& c3_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a31)
& ~ c0_1(a31)
& c2_1(a31)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a27)
& c1_1(a27)
& c0_1(a27)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a26)
& ~ c1_1(a26)
& ~ c0_1(a26)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a22)
& ~ c2_1(a22)
& ~ c0_1(a22)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a21)
& ~ c1_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a19)
& c1_1(a19)
& c0_1(a19)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a18)
& ~ c1_1(a18)
& ~ c0_1(a18)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a12)
& ~ c2_1(a12)
& c1_1(a12)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a9)
& ~ c0_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a8)
& ~ c2_1(a8)
& c0_1(a8)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a6)
& c2_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a5)
& c3_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a4)
& ~ c0_1(a4)
& c3_1(a4)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a3)
& c2_1(a3)
& c0_1(a3)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a2)
& c3_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a1)
& c2_1(a1)
& c1_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( hskp18
| hskp26
| hskp7 )
& ( hskp23
| hskp24
| hskp2 )
& ( hskp17
| hskp27
| hskp30 )
& ( hskp7
| hskp27
| hskp30 )
& ( hskp18
| hskp2
| hskp30 )
& ( hskp22
| hskp11 )
& ( hskp7
| hskp20
| hskp11 )
& ( hskp25
| hskp2
| hskp15 )
& ( hskp9
| hskp7
| hskp28 )
& ( hskp9
| hskp1
| hskp28 )
& ( ! [X84] :
( ~ ndr1_0
| ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c1_1(X84) )
| ! [X83] :
( ~ ndr1_0
| ~ c3_1(X83)
| ~ c1_1(X83)
| ~ c0_1(X83) )
| ! [X82] :
( ~ ndr1_0
| ~ c2_1(X82)
| ~ c1_1(X82)
| ~ c0_1(X82) ) )
& ( hskp25
| hskp27
| ! [X81] :
( ~ ndr1_0
| ~ c2_1(X81)
| ~ c1_1(X81)
| c3_1(X81) ) )
& ( hskp14
| hskp18
| ! [X80] :
( ~ ndr1_0
| ~ c3_1(X80)
| ~ c1_1(X80)
| c2_1(X80) ) )
& ( hskp19
| hskp22
| ! [X79] :
( ~ ndr1_0
| ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) )
& ( hskp24
| ! [X78] :
( ~ ndr1_0
| ~ c2_1(X78)
| ~ c0_1(X78)
| c3_1(X78) )
| ! [X77] :
( ~ ndr1_0
| ~ c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) )
& ( hskp4
| hskp2
| ! [X76] :
( ~ ndr1_0
| ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ) )
& ( hskp22
| ! [X75] :
( ~ ndr1_0
| ~ c1_1(X75)
| c3_1(X75)
| c2_1(X75) )
| ! [X74] :
( ~ ndr1_0
| ~ c0_1(X74)
| c3_1(X74)
| c2_1(X74) ) )
& ( hskp0
| hskp1
| ! [X73] :
( ~ ndr1_0
| ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ) )
& ( hskp23
| hskp2
| ! [X72] :
( ~ ndr1_0
| ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ) )
& ( hskp19
| ! [X71] :
( ~ ndr1_0
| ~ c3_1(X71)
| ~ c2_1(X71)
| ~ c1_1(X71) )
| ! [X70] :
( ~ ndr1_0
| ~ c3_1(X70)
| ~ c2_1(X70)
| c1_1(X70) ) )
& ( hskp16
| ! [X69] :
( ~ ndr1_0
| ~ c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) )
| ! [X68] :
( ~ ndr1_0
| ~ c3_1(X68)
| ~ c0_1(X68)
| c1_1(X68) ) )
& ( ! [X67] :
( ~ ndr1_0
| ~ c3_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67) )
| ! [X66] :
( ~ ndr1_0
| ~ c1_1(X66)
| ~ c0_1(X66)
| c2_1(X66) )
| ! [X65] :
( ~ ndr1_0
| ~ c2_1(X65)
| ~ c0_1(X65)
| c1_1(X65) ) )
& ( hskp13
| ! [X64] :
( ~ ndr1_0
| ~ c0_1(X64)
| c3_1(X64)
| c2_1(X64) )
| ! [X63] :
( ~ ndr1_0
| ~ c2_1(X63)
| ~ c0_1(X63)
| c1_1(X63) ) )
& ( hskp29
| ! [X62] :
( ~ ndr1_0
| ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c0_1(X62) )
| ! [X61] :
( ~ ndr1_0
| ~ c0_1(X61)
| c3_1(X61)
| c1_1(X61) ) )
& ( hskp29
| ! [X60] :
( ~ ndr1_0
| ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c1_1(X60) )
| ! [X59] :
( ~ ndr1_0
| ~ c3_1(X59)
| c2_1(X59)
| c1_1(X59) ) )
& ( hskp5
| ! [X58] :
( ~ ndr1_0
| ~ c2_1(X58)
| ~ c0_1(X58)
| c3_1(X58) )
| ! [X57] :
( ~ ndr1_0
| ~ c3_1(X57)
| c2_1(X57)
| c1_1(X57) ) )
& ( hskp0
| ! [X56] :
( ~ ndr1_0
| ~ c1_1(X56)
| ~ c0_1(X56)
| c3_1(X56) )
| ! [X55] :
( ~ ndr1_0
| ~ c3_1(X55)
| c2_1(X55)
| c1_1(X55) ) )
& ( hskp22
| ! [X54] :
( ~ ndr1_0
| ~ c3_1(X54)
| ~ c2_1(X54)
| c1_1(X54) )
| ! [X53] :
( ~ ndr1_0
| ~ c3_1(X53)
| c2_1(X53)
| c1_1(X53) ) )
& ( hskp21
| hskp0
| ! [X52] :
( ~ ndr1_0
| ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ) )
& ( hskp13
| hskp1
| ! [X51] :
( ~ ndr1_0
| ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ) )
& ( hskp20
| hskp29
| ! [X50] :
( ~ ndr1_0
| ~ c0_1(X50)
| c2_1(X50)
| c1_1(X50) ) )
& ( hskp19
| hskp1
| ! [X49] :
( ~ ndr1_0
| c3_1(X49)
| c2_1(X49)
| c1_1(X49) ) )
& ( hskp18
| hskp30
| ! [X48] :
( ~ ndr1_0
| c3_1(X48)
| c2_1(X48)
| c1_1(X48) ) )
& ( hskp17
| ! [X47] :
( ~ ndr1_0
| ~ c0_1(X47)
| c3_1(X47)
| c1_1(X47) )
| ! [X46] :
( ~ ndr1_0
| c3_1(X46)
| c2_1(X46)
| c1_1(X46) ) )
& ( hskp16
| hskp9
| ! [X45] :
( ~ ndr1_0
| ~ c3_1(X45)
| ~ c2_1(X45)
| c0_1(X45) ) )
& ( hskp5
| ! [X44] :
( ~ ndr1_0
| ~ c2_1(X44)
| ~ c0_1(X44)
| c1_1(X44) )
| ! [X43] :
( ~ ndr1_0
| ~ c3_1(X43)
| ~ c2_1(X43)
| c0_1(X43) ) )
& ( ! [X42] :
( ~ ndr1_0
| ~ c2_1(X42)
| ~ c0_1(X42)
| c3_1(X42) )
| ! [X41] :
( ~ ndr1_0
| ~ c2_1(X41)
| ~ c0_1(X41)
| c1_1(X41) )
| ! [X40] :
( ~ ndr1_0
| ~ c3_1(X40)
| ~ c2_1(X40)
| c0_1(X40) ) )
& ( hskp4
| hskp15
| ! [X39] :
( ~ ndr1_0
| ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ) )
& ( ! [X38] :
( ~ ndr1_0
| ~ c3_1(X38)
| ~ c0_1(X38)
| c2_1(X38) )
| ! [X37] :
( ~ ndr1_0
| ~ c2_1(X37)
| c3_1(X37)
| c1_1(X37) )
| ! [X36] :
( ~ ndr1_0
| ~ c2_1(X36)
| ~ c1_1(X36)
| c0_1(X36) ) )
& ( hskp14
| hskp29
| ! [X35] :
( ~ ndr1_0
| ~ c2_1(X35)
| c3_1(X35)
| c0_1(X35) ) )
& ( hskp3
| ! [X34] :
( ~ ndr1_0
| ~ c0_1(X34)
| c3_1(X34)
| c1_1(X34) )
| ! [X33] :
( ~ ndr1_0
| ~ c2_1(X33)
| c3_1(X33)
| c0_1(X33) ) )
& ( hskp0
| ! [X32] :
( ~ ndr1_0
| ~ c2_1(X32)
| c3_1(X32)
| c1_1(X32) )
| ! [X31] :
( ~ ndr1_0
| ~ c1_1(X31)
| c3_1(X31)
| c0_1(X31) ) )
& ( hskp13
| hskp12
| ! [X30] :
( ~ ndr1_0
| ~ c3_1(X30)
| c2_1(X30)
| c0_1(X30) ) )
& ( hskp6
| hskp11
| ! [X29] :
( ~ ndr1_0
| ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29) ) )
& ( hskp10
| ! [X28] :
( ~ ndr1_0
| ~ c3_1(X28)
| ~ c2_1(X28)
| ~ c0_1(X28) )
| ! [X27] :
( ~ ndr1_0
| ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ) )
& ( hskp9
| ! [X26] :
( ~ ndr1_0
| ~ c0_1(X26)
| c3_1(X26)
| c1_1(X26) )
| ! [X25] :
( ~ ndr1_0
| ~ c3_1(X25)
| c2_1(X25)
| c0_1(X25) ) )
& ( hskp27
| hskp28
| ! [X24] :
( ~ ndr1_0
| ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ) )
& ( ! [X23] :
( ~ ndr1_0
| ~ c0_1(X23)
| c3_1(X23)
| c1_1(X23) )
| ! [X22] :
( ~ ndr1_0
| ~ c2_1(X22)
| ~ c1_1(X22)
| c0_1(X22) )
| ! [X21] :
( ~ ndr1_0
| ~ c1_1(X21)
| c2_1(X21)
| c0_1(X21) ) )
& ( hskp6
| ! [X20] :
( ~ ndr1_0
| ~ c3_1(X20)
| c2_1(X20)
| c0_1(X20) )
| ! [X19] :
( ~ ndr1_0
| ~ c1_1(X19)
| c2_1(X19)
| c0_1(X19) ) )
& ( hskp3
| hskp9
| ! [X18] :
( ~ ndr1_0
| ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ) )
& ( hskp8
| hskp27
| ! [X17] :
( ~ ndr1_0
| ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ) )
& ( hskp7
| hskp6
| ! [X16] :
( ~ ndr1_0
| ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ) )
& ( hskp0
| hskp5
| ! [X15] :
( ~ ndr1_0
| ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ) )
& ( hskp4
| ! [X14] :
( ~ ndr1_0
| c3_1(X14)
| c1_1(X14)
| c0_1(X14) ) )
& ( hskp3
| ! [X13] :
( ~ ndr1_0
| ~ c3_1(X13)
| ~ c0_1(X13)
| c2_1(X13) )
| ! [X12] :
( ~ ndr1_0
| c3_1(X12)
| c1_1(X12)
| c0_1(X12) ) )
& ( hskp2
| ! [X11] :
( ~ ndr1_0
| ~ c0_1(X11)
| c3_1(X11)
| c2_1(X11) )
| ! [X10] :
( ~ ndr1_0
| c2_1(X10)
| c1_1(X10)
| c0_1(X10) ) )
& ( hskp1
| ! [X9] :
( ~ ndr1_0
| ~ c2_1(X9)
| ~ c0_1(X9)
| c1_1(X9) )
| ! [X8] :
( ~ ndr1_0
| c2_1(X8)
| c1_1(X8)
| c0_1(X8) ) )
& ( ! [X7] :
( ~ ndr1_0
| ~ c0_1(X7)
| c3_1(X7)
| c2_1(X7) )
| ! [X6] :
( ~ ndr1_0
| ~ c0_1(X6)
| c2_1(X6)
| c1_1(X6) )
| ! [X5] :
( ~ ndr1_0
| c2_1(X5)
| c1_1(X5)
| c0_1(X5) ) )
& ( hskp0
| ! [X4] :
( ~ ndr1_0
| c3_1(X4)
| c2_1(X4)
| c0_1(X4) )
| ! [X3] :
( ~ ndr1_0
| c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) )
& ( ! [X2] :
( ~ ndr1_0
| ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ! [X1] :
( ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) )
| ! [X0] :
( ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ) )
& ( ( c3_1(a33)
& c2_1(a33)
& c0_1(a33)
& ndr1_0 )
| ~ hskp30 )
& ( ( c2_1(a25)
& c1_1(a25)
& c0_1(a25)
& ndr1_0 )
| ~ hskp29 )
& ( ( c3_1(a15)
& c1_1(a15)
& c0_1(a15)
& ndr1_0 )
| ~ hskp28 )
& ( ( c3_1(a10)
& c2_1(a10)
& c1_1(a10)
& ndr1_0 )
| ~ hskp27 )
& ( ( ~ c3_1(a92)
& ~ c0_1(a92)
& c2_1(a92)
& ndr1_0 )
| ~ hskp26 )
& ( ( ~ c2_1(a64)
& c3_1(a64)
& c1_1(a64)
& ndr1_0 )
| ~ hskp25 )
& ( ( ~ c1_1(a58)
& c3_1(a58)
& c0_1(a58)
& ndr1_0 )
| ~ hskp24 )
& ( ( ~ c2_1(a52)
& ~ c1_1(a52)
& c0_1(a52)
& ndr1_0 )
| ~ hskp23 )
& ( ( ~ c3_1(a43)
& ~ c1_1(a43)
& c2_1(a43)
& ndr1_0 )
| ~ hskp22 )
& ( ( ~ c0_1(a42)
& c3_1(a42)
& c2_1(a42)
& ndr1_0 )
| ~ hskp21 )
& ( ( ~ c0_1(a38)
& c3_1(a38)
& c1_1(a38)
& ndr1_0 )
| ~ hskp20 )
& ( ( ~ c3_1(a36)
& ~ c2_1(a36)
& ~ c1_1(a36)
& ndr1_0 )
| ~ hskp19 )
& ( ( ~ c2_1(a34)
& ~ c1_1(a34)
& c3_1(a34)
& ndr1_0 )
| ~ hskp18 )
& ( ( ~ c2_1(a32)
& ~ c0_1(a32)
& c3_1(a32)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a31)
& ~ c0_1(a31)
& c2_1(a31)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c2_1(a27)
& c1_1(a27)
& c0_1(a27)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c2_1(a26)
& ~ c1_1(a26)
& ~ c0_1(a26)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c3_1(a22)
& ~ c2_1(a22)
& ~ c0_1(a22)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c3_1(a21)
& ~ c1_1(a21)
& c0_1(a21)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c3_1(a19)
& c1_1(a19)
& c0_1(a19)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c3_1(a18)
& ~ c1_1(a18)
& ~ c0_1(a18)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a12)
& ~ c2_1(a12)
& c1_1(a12)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c3_1(a11)
& c2_1(a11)
& c1_1(a11)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c2_1(a9)
& ~ c0_1(a9)
& c1_1(a9)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a8)
& ~ c2_1(a8)
& c0_1(a8)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c3_1(a6)
& c2_1(a6)
& c0_1(a6)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c1_1(a5)
& c3_1(a5)
& c2_1(a5)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c1_1(a4)
& ~ c0_1(a4)
& c3_1(a4)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c1_1(a3)
& c2_1(a3)
& c0_1(a3)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c2_1(a2)
& c3_1(a2)
& c0_1(a2)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c0_1(a1)
& c2_1(a1)
& c1_1(a1)
& ndr1_0 )
| ~ hskp0 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp18
| hskp26
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
( hskp17
| hskp27
| hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( hskp18
| hskp2
| hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( hskp22
| hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( hskp9
| hskp1
| hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X79] :
( hskp19
| hskp22
| ~ ndr1_0
| ~ c3_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X76] :
( hskp4
| hskp2
| ~ ndr1_0
| ~ c0_1(X76)
| c3_1(X76)
| c2_1(X76) ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X73] :
( hskp0
| hskp1
| ~ ndr1_0
| ~ c3_1(X73)
| ~ c2_1(X73)
| c1_1(X73) ),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X72] :
( hskp23
| hskp2
| ~ ndr1_0
| ~ c3_1(X72)
| ~ c2_1(X72)
| c1_1(X72) ),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X52] :
( hskp21
| hskp0
| ~ ndr1_0
| ~ c0_1(X52)
| c2_1(X52)
| c1_1(X52) ),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X51] :
( hskp13
| hskp1
| ~ ndr1_0
| ~ c0_1(X51)
| c2_1(X51)
| c1_1(X51) ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X48] :
( hskp18
| hskp30
| ~ ndr1_0
| c3_1(X48)
| c2_1(X48)
| c1_1(X48) ),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X39] :
( hskp4
| hskp15
| ~ ndr1_0
| ~ c2_1(X39)
| ~ c1_1(X39)
| c0_1(X39) ),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X24] :
( hskp27
| hskp28
| ~ ndr1_0
| ~ c1_1(X24)
| c2_1(X24)
| c0_1(X24) ),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X18] :
( hskp3
| hskp9
| ~ ndr1_0
| ~ c3_1(X18)
| c1_1(X18)
| c0_1(X18) ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X16] :
( hskp7
| hskp6
| ~ ndr1_0
| ~ c3_1(X16)
| c1_1(X16)
| c0_1(X16) ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X15] :
( hskp0
| hskp5
| ~ ndr1_0
| ~ c2_1(X15)
| c1_1(X15)
| c0_1(X15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X14] :
( hskp4
| ~ ndr1_0
| c3_1(X14)
| c1_1(X14)
| c0_1(X14) ),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
( c3_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
( c2_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
( c0_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f69,plain,
( ndr1_0
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( c3_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( c1_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( c0_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( c3_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( c2_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( c1_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
( ndr1_0
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
( ~ c3_1(a92)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
( ~ c0_1(a92)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( c2_1(a92)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ c1_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
( c3_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( c0_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( ~ c2_1(a52)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ c1_1(a52)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( c0_1(a52)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ c3_1(a43)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ c1_1(a43)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( c2_1(a43)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ c0_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( c3_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( c2_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( ~ c3_1(a36)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ c2_1(a36)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( ~ c1_1(a36)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ c2_1(a34)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ c1_1(a34)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( c3_1(a34)
| ~ hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f121,plain,
( ndr1_0
| ~ hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ~ c1_1(a31)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( ~ c0_1(a31)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( c2_1(a31)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( ~ c2_1(a27)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( c0_1(a27)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ c3_1(a22)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ c2_1(a22)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( ~ c0_1(a22)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
( ~ c3_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
( c1_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( c0_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ c3_1(a12)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ c2_1(a12)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( c1_1(a12)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ c2_1(a9)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ c0_1(a9)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( c1_1(a9)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ c3_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ c2_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( c0_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ c3_1(a6)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( c2_1(a6)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( c0_1(a6)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ c1_1(a5)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( c3_1(a5)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( c2_1(a5)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
( ~ c1_1(a4)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( ~ c0_1(a4)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
( c3_1(a4)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ c1_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( c2_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( c0_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ c2_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( c3_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( c0_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ c0_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( c2_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( c1_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_50,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_51,negated_conjecture,
( c2_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_52,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_54,negated_conjecture,
( c0_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_55,negated_conjecture,
( c3_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_56,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_58,negated_conjecture,
( c0_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_59,negated_conjecture,
( c2_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_60,negated_conjecture,
( ~ hskp2
| ~ c1_1(a3) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_62,negated_conjecture,
( c3_1(a4)
| ~ hskp3 ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_63,negated_conjecture,
( ~ hskp3
| ~ c0_1(a4) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_64,negated_conjecture,
( ~ hskp3
| ~ c1_1(a4) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_66,negated_conjecture,
( c2_1(a5)
| ~ hskp4 ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_67,negated_conjecture,
( c3_1(a5)
| ~ hskp4 ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_68,negated_conjecture,
( ~ hskp4
| ~ c1_1(a5) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_70,negated_conjecture,
( c0_1(a6)
| ~ hskp5 ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_71,negated_conjecture,
( c2_1(a6)
| ~ hskp5 ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_72,negated_conjecture,
( ~ hskp5
| ~ c3_1(a6) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_74,negated_conjecture,
( c0_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_75,negated_conjecture,
( ~ hskp6
| ~ c2_1(a8) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_76,negated_conjecture,
( ~ hskp6
| ~ c3_1(a8) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_78,negated_conjecture,
( c1_1(a9)
| ~ hskp7 ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_79,negated_conjecture,
( ~ hskp7
| ~ c0_1(a9) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_80,negated_conjecture,
( ~ hskp7
| ~ c2_1(a9) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_86,negated_conjecture,
( c1_1(a12)
| ~ hskp9 ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_87,negated_conjecture,
( ~ hskp9
| ~ c2_1(a12) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_88,negated_conjecture,
( ~ hskp9
| ~ c3_1(a12) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_94,negated_conjecture,
( c0_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_95,negated_conjecture,
( c1_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_96,negated_conjecture,
( ~ hskp11
| ~ c3_1(a19) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_102,negated_conjecture,
( ~ hskp13
| ~ c0_1(a22) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_103,negated_conjecture,
( ~ hskp13
| ~ c2_1(a22) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_104,negated_conjecture,
( ~ hskp13
| ~ c3_1(a22) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_110,negated_conjecture,
( c0_1(a27)
| ~ hskp15 ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_112,negated_conjecture,
( ~ hskp15
| ~ c2_1(a27) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_114,negated_conjecture,
( c2_1(a31)
| ~ hskp16 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_115,negated_conjecture,
( ~ hskp16
| ~ c0_1(a31) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_116,negated_conjecture,
( ~ hskp16
| ~ c1_1(a31) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_117,negated_conjecture,
( ndr1_0
| ~ hskp17 ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_122,negated_conjecture,
( c3_1(a34)
| ~ hskp18 ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_123,negated_conjecture,
( ~ hskp18
| ~ c1_1(a34) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_124,negated_conjecture,
( ~ hskp18
| ~ c2_1(a34) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_126,negated_conjecture,
( ~ hskp19
| ~ c1_1(a36) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_127,negated_conjecture,
( ~ hskp19
| ~ c2_1(a36) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_128,negated_conjecture,
( ~ hskp19
| ~ c3_1(a36) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_134,negated_conjecture,
( c2_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_135,negated_conjecture,
( c3_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_136,negated_conjecture,
( ~ hskp21
| ~ c0_1(a42) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_138,negated_conjecture,
( c2_1(a43)
| ~ hskp22 ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_139,negated_conjecture,
( ~ hskp22
| ~ c1_1(a43) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_140,negated_conjecture,
( ~ hskp22
| ~ c3_1(a43) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_142,negated_conjecture,
( c0_1(a52)
| ~ hskp23 ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_143,negated_conjecture,
( ~ hskp23
| ~ c1_1(a52) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_144,negated_conjecture,
( ~ hskp23
| ~ c2_1(a52) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_146,negated_conjecture,
( c0_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_147,negated_conjecture,
( c3_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_148,negated_conjecture,
( ~ hskp24
| ~ c1_1(a58) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_154,negated_conjecture,
( c2_1(a92)
| ~ hskp26 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_155,negated_conjecture,
( ~ hskp26
| ~ c0_1(a92) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_156,negated_conjecture,
( ~ hskp26
| ~ c3_1(a92) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_157,negated_conjecture,
( ndr1_0
| ~ hskp27 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_158,negated_conjecture,
( c1_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_159,negated_conjecture,
( c2_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_160,negated_conjecture,
( c3_1(a10)
| ~ hskp27 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_162,negated_conjecture,
( c0_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_163,negated_conjecture,
( c1_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_164,negated_conjecture,
( c3_1(a15)
| ~ hskp28 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_169,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_170,negated_conjecture,
( c0_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_171,negated_conjecture,
( c2_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_172,negated_conjecture,
( c3_1(a33)
| ~ hskp30 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_173,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c0_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_174,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_175,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_176,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_177,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_178,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_179,negated_conjecture,
! [X0: $i] :
( hskp4
| c3_1(X0)
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_180,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp0
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_181,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp6
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_183,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp3
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X1)
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_185,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_186,negated_conjecture,
! [X0: $i] :
( hskp28
| hskp27
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_187,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_188,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_191,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_192,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_194,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X0)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_195,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp4
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_196,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_197,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_199,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_200,negated_conjecture,
! [X0: $i] :
( hskp30
| hskp18
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_203,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp1
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_204,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp0
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_205,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_206,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_210,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_211,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_212,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_213,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_214,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp2
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_215,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp0
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_216,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_217,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp2
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_218,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_219,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_222,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_223,negated_conjecture,
( hskp28
| hskp9
| hskp1 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_227,negated_conjecture,
( hskp22
| hskp11 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_228,negated_conjecture,
( hskp30
| hskp18
| hskp2 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_230,negated_conjecture,
( hskp30
| hskp27
| hskp17 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_232,negated_conjecture,
( hskp26
| hskp18
| hskp7 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_260,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_169,c_230,c_169,c_157,c_117]) ).
tcf(c_322,negated_conjecture,
! [X0: $i] :
( hskp4
| c3_1(X0)
| c0_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_230,c_169,c_157,c_117,c_179]) ).
tcf(c_328,negated_conjecture,
! [X0: $i] :
( hskp30
| hskp18
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_200,c_230,c_169,c_157,c_117,c_200]) ).
tcf(c_331,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp2
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_217,c_230,c_169,c_157,c_117,c_217]) ).
tcf(c_334,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp0
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_204,c_230,c_169,c_157,c_117,c_204]) ).
tcf(c_337,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp1
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_203,c_230,c_169,c_157,c_117,c_203]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] :
( hskp28
| hskp27
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_186,c_230,c_169,c_157,c_117,c_186]) ).
tcf(c_355,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp3
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_230,c_169,c_157,c_117,c_183]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp6
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_181,c_230,c_169,c_157,c_117,c_181]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp0
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_180,c_230,c_169,c_157,c_117,c_180]) ).
tcf(c_373,plain,
! [X0: $i] :
( hskp22
| hskp19
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_219,c_230,c_169,c_157,c_117,c_219]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp19
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_373]) ).
tcf(c_376,plain,
! [X0: $i] :
( hskp1
| hskp0
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_215,c_230,c_169,c_157,c_117,c_215]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp0
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_376]) ).
tcf(c_379,plain,
! [X0: $i] :
( hskp23
| hskp2
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_214,c_230,c_169,c_157,c_117,c_214]) ).
tcf(c_380,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp2
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_379]) ).
tcf(c_385,plain,
! [X0: $i] :
( hskp15
| hskp4
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_195,c_230,c_169,c_157,c_117,c_195]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp4
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_385]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174,c_174,c_260]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_199,c_230,c_169,c_157,c_117,c_199]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177,c_230,c_169,c_157,c_117,c_177]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_216,c_230,c_169,c_157,c_117,c_216]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_396]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_230,c_169,c_157,c_117,c_192]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_399]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_191,c_230,c_169,c_157,c_117,c_191]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c0_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_401]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_187,c_230,c_169,c_157,c_117,c_187]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c0_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_403]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X1)
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_230,c_169,c_157,c_117,c_184]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X1)
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_405]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178,c_230,c_169,c_157,c_117,c_178]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_408]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176,c_230,c_169,c_157,c_117,c_176]) ).
tcf(c_411,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_410]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_230,c_169,c_157,c_117,c_218]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_412]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_230,c_169,c_157,c_117,c_210]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_414]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_206,c_230,c_169,c_157,c_117,c_206]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_418]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_205,c_230,c_169,c_157,c_117,c_205]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_420]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_212,c_230,c_169,c_157,c_117,c_212]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_422]) ).
tcf(c_426,plain,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_208,c_230,c_169,c_157,c_117,c_208]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_426]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] :
( hskp5
| c0_1(X0)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_197,c_230,c_169,c_157,c_117,c_197]) ).
tcf(c_429,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_428]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_188,c_230,c_169,c_157,c_117,c_188]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_430]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] :
( hskp19
| 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_213,c_230,c_169,c_157,c_117,c_213]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_432]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_175,c_230,c_169,c_157,c_117,c_175]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_434]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c0_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_173,c_230,c_169,c_157,c_117,c_173]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| c0_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_436]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_185,c_230,c_169,c_157,c_117,c_185]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_438]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X0)
| c2_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_194,c_230,c_169,c_157,c_117,c_194]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X0)
| c2_1(X2)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_440]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X0)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_196,c_230,c_169,c_157,c_117,c_196]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_442]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_230,c_169,c_157,c_117,c_211]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_444]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_222,c_230,c_169,c_157,c_117,c_222]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_446]) ).
tcf(c_1519,plain,
( hskp18
| hskp7
| ~ c3_1(a92) ),
inference(resolution,[status(thm)],[c_232,c_156]) ).
tcf(c_1529,plain,
( hskp18
| hskp7
| ~ c0_1(a92) ),
inference(resolution,[status(thm)],[c_232,c_155]) ).
tcf(c_1539,plain,
( hskp18
| hskp7
| c2_1(a92) ),
inference(resolution,[status(thm)],[c_232,c_154]) ).
tcf(c_1843,plain,
! [X0: $i] :
( hskp4
| c0_1(X0)
| ~ c2_1(a27)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_386,c_112]) ).
tcf(c_1844,plain,
( hskp4
| c0_1(a1)
| ~ c2_1(a27)
| ~ c2_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_1843]) ).
tcf(c_1877,plain,
! [X0: $i] :
( hskp4
| c0_1(a27)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_386,c_110]) ).
tcf(c_1878,plain,
( hskp4
| c0_1(a27)
| c0_1(a1)
| ~ c2_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_1877]) ).
tcf(c_2314,plain,
( hskp22
| ~ c3_1(a19) ),
inference(resolution,[status(thm)],[c_227,c_96]) ).
tcf(c_2321,plain,
( hskp22
| c1_1(a19) ),
inference(resolution,[status(thm)],[c_227,c_95]) ).
tcf(c_2328,plain,
( hskp22
| c0_1(a19) ),
inference(resolution,[status(thm)],[c_227,c_94]) ).
tcf(c_2863,plain,
( hskp9
| hskp1
| c3_1(a15) ),
inference(resolution,[status(thm)],[c_223,c_164]) ).
tcf(c_2873,plain,
( hskp9
| hskp1
| c1_1(a15) ),
inference(resolution,[status(thm)],[c_223,c_163]) ).
tcf(c_2883,plain,
( hskp9
| hskp1
| c0_1(a15) ),
inference(resolution,[status(thm)],[c_223,c_162]) ).
tcf(c_3376,plain,
( hskp18
| hskp2
| c3_1(a33) ),
inference(resolution,[status(thm)],[c_228,c_172]) ).
tcf(c_3386,plain,
( hskp18
| hskp2
| c2_1(a33) ),
inference(resolution,[status(thm)],[c_228,c_171]) ).
tcf(c_3396,plain,
( hskp18
| hskp2
| c0_1(a33) ),
inference(resolution,[status(thm)],[c_228,c_170]) ).
tcf(c_5920,plain,
( hskp28
| hskp1
| ~ c3_1(a12) ),
inference(resolution,[status(thm)],[c_223,c_88]) ).
tcf(c_5930,plain,
( hskp28
| hskp1
| ~ c2_1(a12) ),
inference(resolution,[status(thm)],[c_223,c_87]) ).
tcf(c_5940,plain,
( hskp28
| hskp1
| c1_1(a12) ),
inference(resolution,[status(thm)],[c_223,c_86]) ).
tcf(c_14256,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_447]) ).
tcf(c_14257,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_447]) ).
tcf(c_14258,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_447]) ).
tcf(c_14259,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).
tcf(c_14260,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_445]) ).
tcf(c_14261,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_445]) ).
tcf(c_14262,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).
tcf(c_14263,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_443]) ).
tcf(c_14264,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_443]) ).
tcf(c_14265,negated_conjecture,
( iPr_def_16
| iPr_def_15
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).
tcf(c_14266,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_441]) ).
tcf(c_14267,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_441]) ).
tcf(c_14268,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_441]) ).
tcf(c_14269,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).
tcf(c_14270,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_439]) ).
tcf(c_14271,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_439]) ).
tcf(c_14272,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).
tcf(c_14273,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_437]) ).
tcf(c_14274,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_437]) ).
tcf(c_14276,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_435]) ).
tcf(c_14277,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_435]) ).
tcf(c_14278,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).
tcf(c_14279,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_433]) ).
tcf(c_14281,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_431]) ).
tcf(c_14284,negated_conjecture,
( iPr_def_16
| iPr_def_13
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).
tcf(c_14285,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_427]) ).
tcf(c_14288,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_423]) ).
tcf(c_14289,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_423]) ).
tcf(c_14290,negated_conjecture,
( iPr_def_31
| iPr_def_30
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).
tcf(c_14291,negated_conjecture,
( iPr_def_29
| iPr_def_26
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).
tcf(c_14292,negated_conjecture,
( iPr_def_31
| iPr_def_29
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).
tcf(c_14294,negated_conjecture,
( iPr_def_24
| iPr_def_13
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).
tcf(c_14295,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_413]) ).
tcf(c_14296,negated_conjecture,
( iPr_def_32
| iPr_def_15
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).
tcf(c_14297,negated_conjecture,
( iPr_def_22
| iPr_def_13
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).
tcf(c_14298,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_409]) ).
tcf(c_14299,negated_conjecture,
( iPr_def_33
| iPr_def_17
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).
tcf(c_14300,negated_conjecture,
( iPr_def_27
| iPr_def_21
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).
tcf(c_14301,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).
tcf(c_14302,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_402]) ).
tcf(c_14303,negated_conjecture,
( iPr_def_34
| iPr_def_18
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).
tcf(c_14304,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c2_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_400]) ).
tcf(c_14305,negated_conjecture,
( iPr_def_35
| iPr_def_20
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).
tcf(c_14306,negated_conjecture,
( iPr_def_32
| iPr_def_24
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).
tcf(c_14307,negated_conjecture,
( iPr_def_24
| iPr_def_22
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).
tcf(c_14308,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_391]) ).
tcf(c_14310,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c2_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_388]) ).
tcf(c_14311,negated_conjecture,
( iPr_def_37
| iPr_def_22
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).
tcf(c_14314,negated_conjecture,
( iPr_def_26
| hskp23
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).
tcf(c_14315,negated_conjecture,
( iPr_def_26
| hskp1
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).
tcf(c_14316,negated_conjecture,
( iPr_def_17
| hskp22
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).
tcf(c_14321,negated_conjecture,
( iPr_def_23
| hskp5
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).
tcf(c_14322,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_361]) ).
tcf(c_14323,negated_conjecture,
( iPr_def_40
| hskp7
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).
tcf(c_14325,negated_conjecture,
( iPr_def_40
| hskp9
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_355]) ).
tcf(c_14326,negated_conjecture,
( iPr_def_21
| hskp28
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).
tcf(c_14331,negated_conjecture,
( iPr_def_25
| hskp13
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_337]) ).
tcf(c_14332,negated_conjecture,
( iPr_def_25
| hskp21
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_334]) ).
tcf(c_14333,negated_conjecture,
( iPr_def_24
| hskp4
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_331]) ).
tcf(c_14334,negated_conjecture,
( iPr_def_36
| hskp30
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).
tcf(c_14357,plain,
( c0_1(a1)
| ~ iPr_def_19
| ~ c2_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_14268]) ).
tcf(c_14367,plain,
( ~ iPr_def_10
| ~ c3_1(a2)
| ~ c0_1(a2)
| ~ c1_1(a2) ),
inference(instantiation,[status(thm)],[c_14256]) ).
tcf(c_14371,plain,
( ~ iPr_def_10
| ~ c3_1(a10)
| ~ c0_1(a10)
| ~ c1_1(a10) ),
inference(instantiation,[status(thm)],[c_14256]) ).
tcf(c_14372,plain,
( ~ iPr_def_10
| ~ c3_1(a33)
| ~ c0_1(a33)
| ~ c1_1(a33) ),
inference(instantiation,[status(thm)],[c_14256]) ).
tcf(c_14374,plain,
( c1_1(a6)
| ~ iPr_def_13
| ~ c0_1(a6)
| ~ c2_1(a6) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_14377,plain,
( c1_1(a58)
| ~ iPr_def_13
| ~ c0_1(a58)
| ~ c2_1(a58) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_14379,plain,
( c1_1(a33)
| ~ iPr_def_13
| ~ c0_1(a33)
| ~ c2_1(a33) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_14380,plain,
( c2_1(a2)
| ~ iPr_def_17
| ~ c3_1(a2)
| ~ c0_1(a2) ),
inference(instantiation,[status(thm)],[c_14266]) ).
tcf(c_14382,plain,
( c2_1(a58)
| ~ iPr_def_17
| ~ c3_1(a58)
| ~ c0_1(a58) ),
inference(instantiation,[status(thm)],[c_14266]) ).
tcf(c_14388,plain,
( c3_1(a8)
| c1_1(a8)
| ~ iPr_def_20
| ~ c0_1(a8) ),
inference(instantiation,[status(thm)],[c_14270]) ).
tcf(c_14389,plain,
( c3_1(a52)
| c1_1(a52)
| ~ iPr_def_20
| ~ c0_1(a52) ),
inference(instantiation,[status(thm)],[c_14270]) ).
tcf(c_14402,plain,
( c0_1(a5)
| c1_1(a5)
| ~ iPr_def_40
| ~ c3_1(a5) ),
inference(instantiation,[status(thm)],[c_14322]) ).
tcf(c_14414,plain,
( c1_1(a3)
| ~ iPr_def_13
| ~ c0_1(a3)
| ~ c2_1(a3) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_14420,plain,
( hskp4
| c3_1(a36)
| c0_1(a36)
| c1_1(a36) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_14421,plain,
( hskp4
| c3_1(a43)
| c0_1(a43)
| c1_1(a43) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_14429,plain,
( c3_1(a6)
| ~ iPr_def_15
| ~ c0_1(a6)
| ~ c2_1(a6) ),
inference(instantiation,[status(thm)],[c_14263]) ).
tcf(c_14434,plain,
( c3_1(a19)
| ~ iPr_def_15
| ~ c0_1(a19)
| ~ c2_1(a19) ),
inference(instantiation,[status(thm)],[c_14263]) ).
tcf(c_14439,plain,
( c0_1(a9)
| c2_1(a9)
| ~ iPr_def_21
| ~ c1_1(a9) ),
inference(instantiation,[status(thm)],[c_14271]) ).
tcf(c_14440,plain,
( c0_1(a22)
| c2_1(a22)
| ~ iPr_def_21
| ~ c1_1(a22) ),
inference(instantiation,[status(thm)],[c_14271]) ).
tcf(c_14455,plain,
( c0_1(a4)
| c1_1(a4)
| ~ iPr_def_40
| ~ c3_1(a4) ),
inference(instantiation,[status(thm)],[c_14322]) ).
tcf(c_14459,plain,
( c0_1(a4)
| c2_1(a4)
| c1_1(a4)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_14273]) ).
tcf(c_14460,plain,
( c3_1(a3)
| c1_1(a3)
| ~ iPr_def_18
| ~ c2_1(a3) ),
inference(instantiation,[status(thm)],[c_14267]) ).
tcf(c_14464,plain,
( c3_1(a31)
| c1_1(a31)
| ~ iPr_def_18
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_14267]) ).
tcf(c_14467,plain,
( c3_1(a43)
| c1_1(a43)
| ~ iPr_def_18
| ~ c2_1(a43) ),
inference(instantiation,[status(thm)],[c_14267]) ).
tcf(c_14487,plain,
( c2_1(a2)
| c1_1(a2)
| ~ iPr_def_25
| ~ c0_1(a2) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_14502,plain,
( c0_1(a4)
| c2_1(a4)
| ~ iPr_def_27
| ~ c3_1(a4) ),
inference(instantiation,[status(thm)],[c_14281]) ).
tcf(c_14509,plain,
( c0_1(a12)
| c2_1(a12)
| ~ iPr_def_21
| ~ c1_1(a12) ),
inference(instantiation,[status(thm)],[c_14271]) ).
tcf(c_14510,plain,
( c0_1(a4)
| ~ iPr_def_16
| ~ c3_1(a4)
| ~ c2_1(a4) ),
inference(instantiation,[status(thm)],[c_14264]) ).
tcf(c_14514,plain,
( c0_1(a10)
| ~ iPr_def_16
| ~ c3_1(a10)
| ~ c2_1(a10) ),
inference(instantiation,[status(thm)],[c_14264]) ).
tcf(c_14524,plain,
( c2_1(a36)
| c1_1(a36)
| ~ iPr_def_25
| ~ c0_1(a36) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_14526,plain,
( c3_1(a36)
| c1_1(a36)
| ~ iPr_def_20
| ~ c0_1(a36) ),
inference(instantiation,[status(thm)],[c_14270]) ).
tcf(c_14535,plain,
( c0_1(a31)
| ~ iPr_def_16
| ~ c3_1(a31)
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_14264]) ).
tcf(c_14546,plain,
( c3_1(a43)
| c1_1(a43)
| ~ iPr_def_20
| ~ c0_1(a43) ),
inference(instantiation,[status(thm)],[c_14270]) ).
tcf(c_14547,plain,
( c1_1(a43)
| ~ iPr_def_13
| ~ c0_1(a43)
| ~ c2_1(a43) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_14552,plain,
( c2_1(a52)
| ~ iPr_def_17
| ~ c3_1(a52)
| ~ c0_1(a52) ),
inference(instantiation,[status(thm)],[c_14266]) ).
tcf(c_14601,plain,
( hskp4
| c3_1(a22)
| c0_1(a22)
| c1_1(a22) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_14602,plain,
( c0_1(a22)
| c2_1(a22)
| c1_1(a22)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_14273]) ).
tcf(c_14610,plain,
( c2_1(a4)
| c1_1(a4)
| ~ iPr_def_25
| ~ c0_1(a4) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_14640,plain,
( c0_1(a34)
| c2_1(a34)
| ~ iPr_def_27
| ~ c3_1(a34) ),
inference(instantiation,[status(thm)],[c_14281]) ).
tcf(c_14658,plain,
( c3_1(a36)
| c2_1(a36)
| c1_1(a36)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_14308]) ).
tcf(c_14660,plain,
( c3_1(a52)
| c2_1(a52)
| c1_1(a52)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_14308]) ).
tcf(c_14666,plain,
( c3_1(a12)
| c2_1(a12)
| ~ iPr_def_24
| ~ c0_1(a12) ),
inference(instantiation,[status(thm)],[c_14276]) ).
tcf(c_14667,plain,
( c3_1(a27)
| c2_1(a27)
| ~ iPr_def_24
| ~ c0_1(a27) ),
inference(instantiation,[status(thm)],[c_14276]) ).
tcf(c_14669,plain,
( c3_1(a36)
| c2_1(a36)
| ~ iPr_def_24
| ~ c0_1(a36) ),
inference(instantiation,[status(thm)],[c_14276]) ).
tcf(c_14671,plain,
( c3_1(a19)
| c2_1(a19)
| ~ iPr_def_24
| ~ c0_1(a19) ),
inference(instantiation,[status(thm)],[c_14276]) ).
tcf(c_14678,plain,
( c2_1(a34)
| c1_1(a34)
| ~ iPr_def_29
| ~ c3_1(a34) ),
inference(instantiation,[status(thm)],[c_14285]) ).
tcf(c_14681,plain,
( c2_1(a52)
| c1_1(a52)
| ~ iPr_def_29
| ~ c3_1(a52) ),
inference(instantiation,[status(thm)],[c_14285]) ).
tcf(c_14687,plain,
( c3_1(a12)
| c2_1(a12)
| ~ iPr_def_32
| ~ c1_1(a12) ),
inference(instantiation,[status(thm)],[c_14295]) ).
tcf(c_14692,plain,
( c3_1(a19)
| c2_1(a19)
| ~ iPr_def_32
| ~ c1_1(a19) ),
inference(instantiation,[status(thm)],[c_14295]) ).
tcf(c_14697,plain,
( c3_1(a92)
| c0_1(a92)
| ~ iPr_def_35
| ~ c2_1(a92) ),
inference(instantiation,[status(thm)],[c_14304]) ).
tcf(c_14703,plain,
( c0_1(a42)
| ~ iPr_def_16
| ~ c3_1(a42)
| ~ c2_1(a42) ),
inference(instantiation,[status(thm)],[c_14264]) ).
tcf(c_14710,plain,
( c3_1(a22)
| c0_1(a22)
| ~ iPr_def_34
| ~ c1_1(a22) ),
inference(instantiation,[status(thm)],[c_14302]) ).
tcf(c_14730,plain,
( c3_1(a36)
| c0_1(a36)
| c1_1(a36)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_14298]) ).
tcf(c_14731,plain,
( c3_1(a43)
| c0_1(a43)
| c1_1(a43)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_14298]) ).
tcf(c_14736,plain,
( c3_1(a22)
| c0_1(a22)
| c1_1(a22)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_14298]) ).
tcf(c_14807,plain,
( ~ iPr_def_11
| ~ c3_1(a10)
| ~ c2_1(a10)
| ~ c1_1(a10) ),
inference(instantiation,[status(thm)],[c_14257]) ).
tcf(c_14808,plain,
( ~ iPr_def_11
| ~ c3_1(a33)
| ~ c2_1(a33)
| ~ c1_1(a33) ),
inference(instantiation,[status(thm)],[c_14257]) ).
tcf(c_14843,plain,
( ~ iPr_def_11
| ~ c3_1(a15)
| ~ c2_1(a15)
| ~ c1_1(a15) ),
inference(instantiation,[status(thm)],[c_14257]) ).
tcf(c_14848,plain,
( c2_1(a15)
| ~ iPr_def_17
| ~ c3_1(a15)
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_14266]) ).
tcf(c_14849,plain,
( ~ iPr_def_10
| ~ c3_1(a15)
| ~ c0_1(a15)
| ~ c1_1(a15) ),
inference(instantiation,[status(thm)],[c_14256]) ).
tcf(c_14856,plain,
( c2_1(a27)
| ~ iPr_def_17
| ~ c3_1(a27)
| ~ c0_1(a27) ),
inference(instantiation,[status(thm)],[c_14266]) ).
tcf(c_14935,plain,
( c0_1(a9)
| c2_1(a9)
| ~ iPr_def_27
| ~ c3_1(a9) ),
inference(instantiation,[status(thm)],[c_14281]) ).
tcf(c_14940,plain,
( c3_1(a9)
| c0_1(a9)
| ~ iPr_def_34
| ~ c1_1(a9) ),
inference(instantiation,[status(thm)],[c_14302]) ).
tcf(c_14953,plain,
( ~ iPr_def_12
| ~ c0_1(a6)
| ~ c2_1(a6)
| ~ c1_1(a6) ),
inference(instantiation,[status(thm)],[c_14258]) ).
tcf(c_14955,plain,
( ~ iPr_def_12
| ~ c0_1(a19)
| ~ c2_1(a19)
| ~ c1_1(a19) ),
inference(instantiation,[status(thm)],[c_14258]) ).
tcf(c_14957,plain,
( ~ iPr_def_12
| ~ c0_1(a15)
| ~ c2_1(a15)
| ~ c1_1(a15) ),
inference(instantiation,[status(thm)],[c_14258]) ).
tcf(c_14961,plain,
( ~ iPr_def_12
| ~ c0_1(a10)
| ~ c2_1(a10)
| ~ c1_1(a10) ),
inference(instantiation,[status(thm)],[c_14258]) ).
tcf(c_14970,plain,
( c1_1(a3)
| ~ iPr_def_30
| ~ c3_1(a3)
| ~ c0_1(a3) ),
inference(instantiation,[status(thm)],[c_14288]) ).
tcf(c_14974,plain,
( c1_1(a5)
| ~ iPr_def_26
| ~ c3_1(a5)
| ~ c2_1(a5) ),
inference(instantiation,[status(thm)],[c_14279]) ).
tcf(c_14987,plain,
( c1_1(a5)
| ~ iPr_def_13
| ~ c0_1(a5)
| ~ c2_1(a5) ),
inference(instantiation,[status(thm)],[c_14260]) ).
tcf(c_15027,plain,
( c3_1(a6)
| ~ iPr_def_31
| ~ c0_1(a6)
| ~ c1_1(a6) ),
inference(instantiation,[status(thm)],[c_14289]) ).
tcf(c_15028,plain,
( c3_1(a8)
| ~ iPr_def_31
| ~ c0_1(a8)
| ~ c1_1(a8) ),
inference(instantiation,[status(thm)],[c_14289]) ).
tcf(c_15029,plain,
( c3_1(a19)
| ~ iPr_def_31
| ~ c0_1(a19)
| ~ c1_1(a19) ),
inference(instantiation,[status(thm)],[c_14289]) ).
tcf(c_15048,plain,
( c2_1(a4)
| ~ iPr_def_14
| ~ c0_1(a4)
| ~ c1_1(a4) ),
inference(instantiation,[status(thm)],[c_14261]) ).
tcf(c_15049,plain,
( c3_1(a4)
| c2_1(a4)
| ~ iPr_def_32
| ~ c1_1(a4) ),
inference(instantiation,[status(thm)],[c_14295]) ).
tcf(c_15057,plain,
( c3_1(a8)
| c2_1(a8)
| ~ iPr_def_24
| ~ c0_1(a8) ),
inference(instantiation,[status(thm)],[c_14276]) ).
tcf(c_15064,plain,
( c2_1(a34)
| c1_1(a34)
| ~ iPr_def_25
| ~ c0_1(a34) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_15091,plain,
( c3_1(a4)
| c0_1(a4)
| c1_1(a4)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_14298]) ).
tcf(c_15092,plain,
( c2_1(a4)
| c1_1(a4)
| ~ iPr_def_29
| ~ c3_1(a4) ),
inference(instantiation,[status(thm)],[c_14285]) ).
tcf(c_15113,plain,
( c2_1(a52)
| c1_1(a52)
| ~ iPr_def_25
| ~ c0_1(a52) ),
inference(instantiation,[status(thm)],[c_14277]) ).
tcf(c_15149,plain,
( c3_1(a12)
| c0_1(a12)
| ~ iPr_def_34
| ~ c1_1(a12) ),
inference(instantiation,[status(thm)],[c_14302]) ).
tcf(c_15160,plain,
( c0_1(a5)
| c1_1(a5)
| ~ iPr_def_23
| ~ c2_1(a5) ),
inference(instantiation,[status(thm)],[c_14274]) ).
tcf(c_15188,plain,
( c3_1(a22)
| c0_1(a22)
| c2_1(a22)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_14310]) ).
tcf(c_15298,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15188,c_15160,c_15149,c_15113,c_15091,c_15092,c_15064,c_15057,c_15048,c_15049,c_15029,c_15028,c_15027,c_14987,c_14974,c_14970,c_14961,c_14957,c_14955,c_14953,c_14940,c_14935,c_14856,c_14843,c_14848,c_14849,c_14808,c_14807,c_14736,c_14731,c_14730,c_14710,c_14703,c_14697,c_14692,c_14687,c_14681,c_14678,c_14671,c_14669,c_14667,c_14666,c_14660,c_14658,c_14640,c_14610,c_14601,c_14602,c_14552,c_14546,c_14547,c_14535,c_14524,c_14526,c_14514,c_14510,c_14509,c_14502,c_14487,c_14467,c_14464,c_14460,c_14459,c_14455,c_14440,c_14439,c_14434,c_14429,c_14421,c_14420,c_14414,c_14402,c_14389,c_14388,c_14382,c_14380,c_14379,c_14377,c_14374,c_14372,c_14371,c_14367,c_14357,c_14334,c_14333,c_14332,c_14331,c_14326,c_14325,c_14323,c_14321,c_14316,c_14315,c_14314,c_14311,c_14307,c_14306,c_14305,c_14303,c_14301,c_14300,c_14299,c_14297,c_14296,c_14294,c_14292,c_14291,c_14290,c_14284,c_14278,c_14272,c_14269,c_14265,c_14262,c_14259,c_5940,c_5930,c_5920,c_3396,c_3386,c_3376,c_2883,c_2873,c_2863,c_2328,c_2321,c_2314,c_1878,c_1844,c_1539,c_1529,c_1519,c_52,c_56,c_60,c_63,c_64,c_68,c_72,c_75,c_76,c_79,c_80,c_87,c_88,c_102,c_103,c_104,c_115,c_116,c_123,c_124,c_126,c_127,c_128,c_136,c_139,c_140,c_143,c_144,c_148,c_50,c_51,c_54,c_55,c_58,c_59,c_62,c_66,c_67,c_70,c_71,c_74,c_78,c_86,c_114,c_122,c_134,c_135,c_138,c_142,c_146,c_147,c_158,c_159,c_160,c_162,c_163,c_164,c_170,c_171,c_223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN443+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 01:11:32 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.36/1.30 % SZS status Started for theBenchmark.p
% 1.36/1.30 % SZS status Theorem for theBenchmark.p
% 1.36/1.30
% 1.36/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.36/1.30
% 1.36/1.30 % ------ iProver source info
% 1.36/1.30
% 1.36/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.36/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.36/1.30 % git: non_committed_changes: false
% 1.36/1.30
% 1.36/1.30 % ------ Parsing...
% 1.36/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.36/1.30 %
% 1.36/1.30
% 1.36/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.36/1.30
% 1.36/1.30 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.36/1.30 gs_s sp: 84 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.36/1.30 % ------ Proving...
% 1.36/1.30 % ------ Problem Properties
% 1.36/1.30
% 1.36/1.30 %
% 1.36/1.30 % clauses 183
% 1.36/1.30 % conjectures 180
% 1.36/1.30 % EPR 183
% 1.36/1.30 % Horn 105
% 1.36/1.30 % unary 0
% 1.36/1.30 % binary 91
% 1.36/1.30 % lits 490
% 1.36/1.30 % lits eq 0
% 1.36/1.30 % fd_pure 0
% 1.36/1.30 % fd_pseudo 0
% 1.36/1.30 % fd_cond 0
% 1.36/1.30 % fd_pseudo_cond 0
% 1.36/1.30 % AC symbols 0
% 1.36/1.30
% 1.36/1.30 % ------ Schedule EPR non Horn non eq is on
% 1.36/1.30
% 1.36/1.30 % ------ no equalities: superposition off
% 1.36/1.30
% 1.36/1.30 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.36/1.30
% 1.36/1.30
% 1.36/1.30 % ------
% 1.36/1.30 % Current options:
% 1.36/1.30 % ------
% 1.36/1.30
% 1.36/1.30
% 1.36/1.30 %
% 1.36/1.30
% 1.36/1.30 % ------ Proving...
% 1.36/1.30 %
% 1.36/1.30
% 1.36/1.30 % SZS status Theorem for theBenchmark.p
% 1.36/1.30
% 1.36/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.31
% 4.36/1.31
%------------------------------------------------------------------------------