%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN443+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 : Tue Sep 29 02:08:24 PM UTC 2026
% Result : Theorem 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 102
% Syntax : Number of formulae : 664 ( 32 unt; 101 def)
% Number of atoms : 5019 ( 0 equ)
% Maximal formula atoms : 588 ( 7 avg)
% Number of connectives : 6498 (2143 ~;3084 |; 915 &)
% ( 101 <=>; 255 =>; 0 <=; 0 <~>)
% Maximal formula depth : 97 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 138 ( 137 usr; 134 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 571 ( 0 sgn 571 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c2_1(X4)
| c3_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c2_1(X6)
| ~ c0_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c3_1(X7)
| ~ c0_1(X7) ) ) )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ~ c0_1(X9)
| ~ c2_1(X9) ) )
| hskp1 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c0_1(X11) ) )
| hskp2 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13) ) )
| hskp3 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| hskp4 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15) ) )
| hskp5
| hskp0 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| hskp6
| hskp7 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| hskp27
| hskp8 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| hskp9
| hskp3 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20) ) )
| hskp6 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24) ) )
| hskp28
| hskp27 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) )
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c0_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp11
| hskp6 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp12
| hskp13 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp0 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c0_1(X34) ) )
| hskp3 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| hskp29
| hskp14 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39) ) )
| hskp15
| hskp4 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42) ) ) )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44) ) )
| hskp5 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) )
| hskp9
| hskp16 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47) ) )
| hskp17 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| c3_1(X48) ) )
| hskp30
| hskp18 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| c3_1(X49) ) )
| hskp1
| hskp19 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp29
| hskp20 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp1
| hskp13 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52) ) )
| hskp0
| hskp21 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54) ) )
| hskp22 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56) ) )
| hskp0 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58) ) )
| hskp5 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) )
| hskp29 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp29 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c2_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| hskp13 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| ~ c0_1(X68)
| ~ c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) )
| hskp16 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp2
| hskp23 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp1
| hskp0 )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| hskp22 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76) ) )
| hskp2
| hskp4 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| hskp22
| hskp19 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80) ) )
| hskp18
| hskp14 )
& ( ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81) ) )
| hskp27
| hskp25 )
& ( ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c2_1(X4)
| c3_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c2_1(X6)
| ~ c0_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c3_1(X7)
| ~ c0_1(X7) ) ) )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ~ c0_1(X9)
| ~ c2_1(X9) ) )
| hskp1 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c0_1(X11) ) )
| hskp2 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13) ) )
| hskp3 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| hskp4 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15) ) )
| hskp5
| hskp0 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| hskp6
| hskp7 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| hskp27
| hskp8 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| hskp9
| hskp3 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20) ) )
| hskp6 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24) ) )
| hskp28
| hskp27 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) )
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c0_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp11
| hskp6 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp12
| hskp13 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp0 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c0_1(X34) ) )
| hskp3 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| hskp29
| hskp14 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39) ) )
| hskp15
| hskp4 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42) ) ) )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44) ) )
| hskp5 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) )
| hskp9
| hskp16 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47) ) )
| hskp17 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| c3_1(X48) ) )
| hskp30
| hskp18 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| c3_1(X49) ) )
| hskp1
| hskp19 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp29
| hskp20 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp1
| hskp13 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52) ) )
| hskp0
| hskp21 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54) ) )
| hskp22 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56) ) )
| hskp0 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58) ) )
| hskp5 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) )
| hskp29 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp29 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c2_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| hskp13 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| ~ c0_1(X68)
| ~ c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) )
| hskp16 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp2
| hskp23 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp1
| hskp0 )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| hskp22 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76) ) )
| hskp2
| hskp4 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| hskp22
| hskp19 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80) ) )
| hskp18
| hskp14 )
& ( ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81) ) )
| hskp27
| hskp25 )
& ( ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c2_1(X4)
| c3_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c1_1(X6)
| c2_1(X6)
| ~ c0_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| c3_1(X7)
| ~ c0_1(X7) ) ) )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ~ c0_1(X9)
| ~ c2_1(X9) ) )
| hskp1 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c2_1(X11)
| c3_1(X11)
| ~ c0_1(X11) ) )
| hskp2 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13) ) )
| hskp3 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| hskp4 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15) ) )
| hskp5
| hskp0 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| hskp6
| hskp7 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| hskp27
| hskp8 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18) ) )
| hskp9
| hskp3 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20) ) )
| hskp6 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24) ) )
| hskp28
| hskp27 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) )
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( ~ c0_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28) ) )
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp11
| hskp6 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| hskp12
| hskp13 )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp0 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c1_1(X34)
| c3_1(X34)
| ~ c0_1(X34) ) )
| hskp3 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| hskp29
| hskp14 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39) ) )
| hskp15
| hskp4 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42) ) ) )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44) ) )
| hskp5 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45) ) )
| hskp9
| hskp16 )
& ( ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| c3_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47) ) )
| hskp17 )
& ( ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| c3_1(X48) ) )
| hskp30
| hskp18 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| c3_1(X49) ) )
| hskp1
| hskp19 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp29
| hskp20 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51) ) )
| hskp1
| hskp13 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52) ) )
| hskp0
| hskp21 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54) ) )
| hskp22 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56) ) )
| hskp0 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c3_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58) ) )
| hskp5 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) )
| hskp29 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp29 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c2_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| hskp13 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| ~ c0_1(X68)
| ~ c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) )
| hskp16 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp2
| hskp23 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp1
| hskp0 )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| hskp22 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76) ) )
| hskp2
| hskp4 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| hskp22
| hskp19 )
& ( ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80) ) )
| hskp18
| hskp14 )
& ( ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81) ) )
| hskp27
| hskp25 )
& ( ! [X82] :
( ndr1_0
=> ( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c0_1(X4)
| c2_1(X4)
| c3_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| ! [X6] :
( c1_1(X6)
| c2_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c2_1(X7)
| c3_1(X7)
| ~ c0_1(X7)
| ~ ndr1_0 ) )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c1_1(X9)
| ~ c0_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c2_1(X11)
| c3_1(X11)
| ~ c0_1(X11)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X12] :
( c0_1(X12)
| c1_1(X12)
| c3_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X15] :
( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15)
| ~ ndr1_0 )
| hskp5
| hskp0 )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp6
| hskp7 )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17)
| ~ ndr1_0 )
| hskp27
| hskp8 )
& ( ! [X18] :
( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 )
| hskp9
| hskp3 )
& ( ! [X19] :
( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X21] :
( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24)
| ~ ndr1_0 )
| hskp28
| hskp27 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c0_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X29] :
( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| hskp11
| hskp6 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| hskp12
| hskp13 )
& ( ! [X31] :
( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X33] :
( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| ! [X34] :
( c1_1(X34)
| c3_1(X34)
| ~ c0_1(X34)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X35] :
( c0_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| ~ ndr1_0 )
| hskp29
| hskp14 )
& ( ! [X36] :
( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 ) )
& ( ! [X39] :
( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39)
| ~ ndr1_0 )
| hskp15
| hskp4 )
& ( ! [X40] :
( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| ! [X41] :
( c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 ) )
& ( ! [X43] :
( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X45] :
( c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| hskp9
| hskp16 )
& ( ! [X46] :
( c1_1(X46)
| c2_1(X46)
| c3_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X48] :
( c1_1(X48)
| c2_1(X48)
| c3_1(X48)
| ~ ndr1_0 )
| hskp30
| hskp18 )
& ( ! [X49] :
( c1_1(X49)
| c2_1(X49)
| c3_1(X49)
| ~ ndr1_0 )
| hskp1
| hskp19 )
& ( ! [X50] :
( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50)
| ~ ndr1_0 )
| hskp29
| hskp20 )
& ( ! [X51] :
( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51)
| ~ ndr1_0 )
| hskp1
| hskp13 )
& ( ! [X52] :
( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 )
| hskp0
| hskp21 )
& ( ! [X53] :
( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X55] :
( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X57] :
( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c3_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X59] :
( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X61] :
( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( ~ c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X63] :
( c1_1(X63)
| ~ c0_1(X63)
| ~ c2_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X65] :
( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67)
| ~ ndr1_0 ) )
& ( ! [X68] :
( c1_1(X68)
| ~ c0_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X70] :
( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( ~ c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X72] :
( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72)
| ~ ndr1_0 )
| hskp2
| hskp23 )
& ( ! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| hskp1
| hskp0 )
& ( ! [X74] :
( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X76] :
( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76)
| ~ ndr1_0 )
| hskp2
| hskp4 )
& ( ! [X77] :
( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0 )
| hskp24 )
& ( ! [X79] :
( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| hskp22
| hskp19 )
& ( ! [X80] :
( c2_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| hskp18
| hskp14 )
& ( ! [X81] :
( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0 )
| hskp27
| hskp25 )
& ( ! [X82] :
( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a1)
& c2_1(a1)
& ~ c0_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a2)
& c3_1(a2)
& ~ c2_1(a2) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a3)
& c2_1(a3)
& ~ c1_1(a3) ) )
& ( ~ hskp3
| ( ndr1_0
& c3_1(a4)
& ~ c0_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp4
| ( ndr1_0
& c2_1(a5)
& c3_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a6)
& c2_1(a6)
& ~ c3_1(a6) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a8)
& ~ c2_1(a8)
& ~ c3_1(a8) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a9)
& ~ c0_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a11)
& c2_1(a11)
& ~ c3_1(a11) ) )
& ( ~ hskp9
| ( ndr1_0
& c1_1(a12)
& ~ c2_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a18)
& ~ c1_1(a18)
& ~ c3_1(a18) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a19)
& c1_1(a19)
& ~ c3_1(a19) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a21)
& ~ c1_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ c0_1(a22)
& ~ c2_1(a22)
& ~ c3_1(a22) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c0_1(a26)
& ~ c1_1(a26)
& ~ c2_1(a26) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a27)
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a31)
& ~ c0_1(a31)
& ~ c1_1(a31) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a32)
& ~ c0_1(a32)
& ~ c2_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c3_1(a34)
& ~ c1_1(a34)
& ~ c2_1(a34) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c1_1(a36)
& ~ c2_1(a36)
& ~ c3_1(a36) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a38)
& c3_1(a38)
& ~ c0_1(a38) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a42)
& c3_1(a42)
& ~ c0_1(a42) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a43)
& ~ c1_1(a43)
& ~ c3_1(a43) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a52)
& ~ c1_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp24
| ( ndr1_0
& c0_1(a58)
& c3_1(a58)
& ~ c1_1(a58) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a64)
& c3_1(a64)
& ~ c2_1(a64) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a92)
& ~ c0_1(a92)
& ~ c3_1(a92) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a10)
& c2_1(a10)
& c3_1(a10) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a15)
& c1_1(a15)
& c3_1(a15) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a25)
& c1_1(a25)
& c2_1(a25) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a33)
& c2_1(a33)
& c3_1(a33) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c0_1(X4)
| c2_1(X4)
| c3_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| ! [X6] :
( c1_1(X6)
| c2_1(X6)
| ~ c0_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c2_1(X7)
| c3_1(X7)
| ~ c0_1(X7)
| ~ ndr1_0 ) )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c1_1(X9)
| ~ c0_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c2_1(X11)
| c3_1(X11)
| ~ c0_1(X11)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X12] :
( c0_1(X12)
| c1_1(X12)
| c3_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c2_1(X13)
| ~ c0_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X15] :
( c0_1(X15)
| c1_1(X15)
| ~ c2_1(X15)
| ~ ndr1_0 )
| hskp5
| hskp0 )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp6
| hskp7 )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17)
| ~ ndr1_0 )
| hskp27
| hskp8 )
& ( ! [X18] :
( c0_1(X18)
| c1_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 )
| hskp9
| hskp3 )
& ( ! [X19] :
( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X21] :
( c0_1(X21)
| c2_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24)
| ~ ndr1_0 )
| hskp28
| hskp27 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( ~ c0_1(X28)
| ~ c2_1(X28)
| ~ c3_1(X28)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X29] :
( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| hskp11
| hskp6 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| hskp12
| hskp13 )
& ( ! [X31] :
( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X33] :
( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| ! [X34] :
( c1_1(X34)
| c3_1(X34)
| ~ c0_1(X34)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X35] :
( c0_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| ~ ndr1_0 )
| hskp29
| hskp14 )
& ( ! [X36] :
( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 ) )
& ( ! [X39] :
( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39)
| ~ ndr1_0 )
| hskp15
| hskp4 )
& ( ! [X40] :
( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| ! [X41] :
( c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 ) )
& ( ! [X43] :
( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X45] :
( c0_1(X45)
| ~ c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| hskp9
| hskp16 )
& ( ! [X46] :
( c1_1(X46)
| c2_1(X46)
| c3_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c1_1(X47)
| c3_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X48] :
( c1_1(X48)
| c2_1(X48)
| c3_1(X48)
| ~ ndr1_0 )
| hskp30
| hskp18 )
& ( ! [X49] :
( c1_1(X49)
| c2_1(X49)
| c3_1(X49)
| ~ ndr1_0 )
| hskp1
| hskp19 )
& ( ! [X50] :
( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50)
| ~ ndr1_0 )
| hskp29
| hskp20 )
& ( ! [X51] :
( c1_1(X51)
| c2_1(X51)
| ~ c0_1(X51)
| ~ ndr1_0 )
| hskp1
| hskp13 )
& ( ! [X52] :
( c1_1(X52)
| c2_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 )
| hskp0
| hskp21 )
& ( ! [X53] :
( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X55] :
( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X57] :
( c1_1(X57)
| c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c3_1(X58)
| ~ c0_1(X58)
| ~ c2_1(X58)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X59] :
( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X61] :
( c1_1(X61)
| c3_1(X61)
| ~ c0_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( ~ c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X63] :
( c1_1(X63)
| ~ c0_1(X63)
| ~ c2_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X65] :
( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67)
| ~ ndr1_0 ) )
& ( ! [X68] :
( c1_1(X68)
| ~ c0_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( c3_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X70] :
( c1_1(X70)
| ~ c2_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( ~ c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X72] :
( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72)
| ~ ndr1_0 )
| hskp2
| hskp23 )
& ( ! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| hskp1
| hskp0 )
& ( ! [X74] :
( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X76] :
( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76)
| ~ ndr1_0 )
| hskp2
| hskp4 )
& ( ! [X77] :
( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0 )
| hskp24 )
& ( ! [X79] :
( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| hskp22
| hskp19 )
& ( ! [X80] :
( c2_1(X80)
| ~ c1_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| hskp18
| hskp14 )
& ( ! [X81] :
( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0 )
| hskp27
| hskp25 )
& ( ! [X82] :
( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 ) )
& ( hskp28
| hskp1
| hskp9 )
& ( hskp28
| hskp7
| hskp9 )
& ( hskp15
| hskp2
| hskp25 )
& ( hskp11
| hskp20
| hskp7 )
& ( hskp11
| hskp22 )
& ( hskp30
| hskp2
| hskp18 )
& ( hskp30
| hskp27
| hskp7 )
& ( hskp30
| hskp27
| hskp17 )
& ( hskp2
| hskp24
| hskp23 )
& ( hskp7
| hskp26
| hskp18 ) ),
inference(flattening,[],[f4]) ).
fof(f8,plain,
( hskp30
| hskp27
| hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
( hskp30
| hskp27
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( hskp30
| hskp2
| hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
( hskp28
| hskp7
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( hskp28
| hskp1
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X82,X83,X84] :
( ~ c0_1(X82)
| ~ c1_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0
| ~ c0_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0
| ~ c1_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X81] :
( c3_1(X81)
| ~ c1_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0
| hskp27
| hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X78,X77] :
( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0
| c3_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0
| hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X76] :
( c2_1(X76)
| c3_1(X76)
| ~ c0_1(X76)
| ~ ndr1_0
| hskp2
| hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X74,X75] :
( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74)
| ~ ndr1_0
| c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0
| hskp1
| hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X65,X66,X67] :
( c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0
| c2_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ ndr1_0
| ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c3_1(X67)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X59,X60] :
( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0
| ~ c1_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0
| hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X56,X55] :
( c1_1(X55)
| c2_1(X55)
| ~ c3_1(X55)
| ~ ndr1_0
| c3_1(X56)
| ~ c0_1(X56)
| ~ c1_1(X56)
| ~ ndr1_0
| hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X54,X53] :
( c1_1(X53)
| c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0
| c1_1(X54)
| ~ c2_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X44,X43] :
( c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0
| c1_1(X44)
| ~ c0_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X40,X41,X42] :
( c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0
| c1_1(X41)
| ~ c0_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0
| c3_1(X42)
| ~ c0_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X39] :
( c0_1(X39)
| ~ c1_1(X39)
| ~ c2_1(X39)
| ~ ndr1_0
| hskp15
| hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X38,X36,X37] :
( c0_1(X36)
| ~ c1_1(X36)
| ~ c2_1(X36)
| ~ ndr1_0
| c1_1(X37)
| c3_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0
| c2_1(X38)
| ~ c0_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X31,X32] :
( c0_1(X31)
| c3_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0
| c1_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0
| hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
! [X26,X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0
| c1_1(X26)
| c3_1(X26)
| ~ c0_1(X26)
| ~ ndr1_0
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X24] :
( c0_1(X24)
| c2_1(X24)
| ~ c1_1(X24)
| ~ ndr1_0
| hskp28
| hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f54,plain,
! [X19,X20] :
( c0_1(X19)
| c2_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0
| c0_1(X20)
| c2_1(X20)
| ~ c3_1(X20)
| ~ ndr1_0
| hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
( ~ hskp30
| c3_1(a33) ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
( ~ hskp30
| c2_1(a33) ),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
( ~ hskp30
| c0_1(a33) ),
inference(cnf_transformation,[],[f5]) ).
fof(f70,plain,
( ~ hskp29
| c2_1(a25) ),
inference(cnf_transformation,[],[f5]) ).
fof(f71,plain,
( ~ hskp29
| c1_1(a25) ),
inference(cnf_transformation,[],[f5]) ).
fof(f72,plain,
( ~ hskp29
| c0_1(a25) ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( ~ hskp28
| c3_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( ~ hskp28
| c1_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( ~ hskp28
| c0_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f77,plain,
( ~ hskp28
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( ~ hskp27
| c3_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ hskp27
| c2_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ hskp27
| c1_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ hskp25
| ~ c2_1(a64) ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ hskp25
| c3_1(a64) ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ hskp25
| c1_1(a64) ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ hskp24
| ~ c1_1(a58) ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
( ~ hskp24
| c3_1(a58) ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( ~ hskp24
| c0_1(a58) ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ hskp22
| ~ c3_1(a43) ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ hskp22
| ~ c1_1(a43) ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ hskp22
| c2_1(a43) ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ hskp18
| ~ c2_1(a34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ hskp18
| ~ c1_1(a34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ hskp18
| c3_1(a34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
( ~ hskp17
| ~ c2_1(a32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
( ~ hskp17
| ~ c0_1(a32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( ~ hskp17
| c3_1(a32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( ~ hskp15
| ~ c2_1(a27) ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ hskp15
| c1_1(a27) ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( ~ hskp15
| c0_1(a27) ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ hskp9
| ~ c3_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ hskp9
| ~ c2_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ hskp9
| c1_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f153,plain,
( ~ hskp9
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ hskp7
| ~ c2_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ hskp7
| ~ c0_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( ~ hskp7
| c1_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ hskp6
| ~ c3_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ hskp6
| ~ c2_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ hskp6
| c0_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ hskp5
| ~ c3_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ hskp5
| c2_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( ~ hskp5
| c0_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ hskp4
| ~ c1_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ hskp4
| c3_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ hskp4
| c2_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ hskp2
| ~ c1_1(a3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( ~ hskp2
| c2_1(a3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( ~ hskp2
| c0_1(a3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ hskp1
| ~ c2_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ hskp1
| c3_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( ~ hskp1
| c0_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
( ~ hskp1
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ hskp0
| ~ c0_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( ~ hskp0
| c2_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( ~ hskp0
| c1_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( hskp0
| ~ c1_1(a1) ),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f192,plain,
( hskp0
| c2_1(a1) ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f193,plain,
( hskp0
| c0_1(a1) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f194,plain,
( hskp1
| ndr1_0 ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f195,plain,
( hskp1
| ~ c0_1(a2) ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f196,plain,
( hskp1
| ~ c3_1(a2) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f197,plain,
( hskp1
| ~ c2_1(a2) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f199,plain,
( hskp2
| ~ c0_1(a3) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f200,plain,
( hskp2
| c2_1(a3) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f201,plain,
( hskp2
| c1_1(a3) ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f207,plain,
( hskp4
| c2_1(a5) ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f208,plain,
( hskp4
| ~ c3_1(a5) ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f209,plain,
( hskp4
| c1_1(a5) ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f211,plain,
( hskp5
| ~ c0_1(a6) ),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f212,plain,
( hskp5
| c2_1(a6) ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f213,plain,
( hskp5
| c3_1(a6) ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f214,plain,
( ~ hskp6
| ~ c0_1(a8) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f215,plain,
( ~ hskp6
| c3_1(a8) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f216,plain,
( ~ hskp7
| ~ c1_1(a9) ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f217,plain,
( ~ hskp7
| c0_1(a9) ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f222,plain,
( ~ hskp9
| ~ c1_1(a12) ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f223,plain,
( ~ hskp9
| c3_1(a12) ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f239,plain,
( ~ hskp15
| ~ c0_1(a27) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f240,plain,
( ~ hskp15
| ~ c1_1(a27) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f244,plain,
( hskp17
| ~ c3_1(a32) ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f245,plain,
( hskp17
| c0_1(a32) ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f246,plain,
( hskp17
| ~ c2_1(a32) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f247,plain,
( ~ hskp18
| ~ c3_1(a34) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f248,plain,
( ~ hskp18
| c1_1(a34) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f259,plain,
( hskp22
| c2_1(a43) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f260,plain,
( hskp22
| c1_1(a43) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f261,plain,
( hskp22
| c3_1(a43) ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f264,plain,
( ~ hskp24
| ~ c0_1(a58) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f265,plain,
( ~ hskp24
| ~ c3_1(a58) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f266,plain,
( ~ hskp24
| c1_1(a58) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f268,plain,
( hskp25
| ~ c1_1(a64) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f269,plain,
( hskp25
| ~ c3_1(a64) ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f270,plain,
( hskp25
| ~ c2_1(a64) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f275,plain,
( ~ hskp27
| ~ c1_1(a10) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f276,plain,
( ~ hskp27
| ~ c3_1(a10) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f277,plain,
( ~ hskp28
| ~ c0_1(a15) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f278,plain,
( ~ hskp28
| ~ c1_1(a15) ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f279,plain,
( ~ hskp28
| ~ c3_1(a15) ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f281,plain,
( hskp29
| ~ c0_1(a25) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f282,plain,
( hskp29
| ~ c1_1(a25) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f283,plain,
( hskp29
| c2_1(a25) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f285,plain,
( hskp30
| ~ c0_1(a33) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f286,plain,
( hskp30
| c2_1(a33) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f287,plain,
( hskp30
| ~ c3_1(a33) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f299,plain,
! [X19,X20] :
( ~ c0_1(X19)
| c2_1(X19)
| c1_1(X19)
| ~ ndr1_0
| ~ c0_1(X20)
| c2_1(X20)
| c3_1(X20)
| ~ ndr1_0
| hskp6 ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f301,plain,
! [X24] :
( ~ c0_1(X24)
| c2_1(X24)
| c1_1(X24)
| ~ ndr1_0
| hskp28
| hskp27 ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f302,plain,
! [X26,X25] :
( ~ c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0
| ~ c1_1(X26)
| ~ c3_1(X26)
| c0_1(X26)
| ~ ndr1_0
| hskp9 ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f306,plain,
! [X31,X32] :
( ~ c0_1(X31)
| ~ c3_1(X31)
| c1_1(X31)
| ~ ndr1_0
| ~ c1_1(X32)
| ~ c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f309,plain,
! [X38,X36,X37] :
( ~ c0_1(X36)
| c1_1(X36)
| ~ c2_1(X36)
| ~ ndr1_0
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0
| c2_1(X38)
| c0_1(X38)
| c3_1(X38)
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f310,plain,
! [X39] :
( ~ c0_1(X39)
| c1_1(X39)
| ~ c2_1(X39)
| ~ ndr1_0
| hskp15
| ~ hskp4 ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f311,plain,
! [X40,X41,X42] :
( ~ c0_1(X40)
| ~ c2_1(X40)
| c3_1(X40)
| ~ ndr1_0
| ~ c1_1(X41)
| c0_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0
| ~ c3_1(X42)
| c0_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f312,plain,
! [X44,X43] :
( ~ c0_1(X43)
| ~ c2_1(X43)
| c3_1(X43)
| ~ ndr1_0
| ~ c1_1(X44)
| c0_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0
| ~ hskp5 ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f320,plain,
! [X54,X53] :
( ~ c1_1(X53)
| c2_1(X53)
| c3_1(X53)
| ~ ndr1_0
| ~ c1_1(X54)
| ~ c2_1(X54)
| c3_1(X54)
| ~ ndr1_0
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f321,plain,
! [X56,X55] :
( ~ c1_1(X55)
| c2_1(X55)
| c3_1(X55)
| ~ ndr1_0
| ~ c3_1(X56)
| c0_1(X56)
| c1_1(X56)
| ~ ndr1_0
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f323,plain,
! [X59,X60] :
( ~ c1_1(X59)
| c2_1(X59)
| c3_1(X59)
| ~ ndr1_0
| c1_1(X60)
| ~ c2_1(X60)
| c3_1(X60)
| ~ ndr1_0
| ~ hskp29 ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f326,plain,
! [X65,X66,X67] :
( ~ c1_1(X65)
| c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0
| c2_1(X66)
| c0_1(X66)
| c1_1(X66)
| ~ ndr1_0
| c0_1(X67)
| c1_1(X67)
| c3_1(X67)
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f330,plain,
! [X73] :
( ~ c1_1(X73)
| ~ c2_1(X73)
| c3_1(X73)
| ~ ndr1_0
| ~ hskp1
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f331,plain,
! [X74,X75] :
( c2_1(X74)
| ~ c3_1(X74)
| c0_1(X74)
| ~ ndr1_0
| c2_1(X75)
| ~ c3_1(X75)
| c1_1(X75)
| ~ ndr1_0
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f332,plain,
! [X76] :
( c2_1(X76)
| ~ c3_1(X76)
| c0_1(X76)
| ~ ndr1_0
| ~ hskp2
| ~ hskp4 ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f333,plain,
! [X78,X77] :
( c2_1(X77)
| ~ c3_1(X77)
| c1_1(X77)
| ~ ndr1_0
| ~ c3_1(X78)
| c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0
| hskp24 ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f336,plain,
! [X81] :
( ~ c3_1(X81)
| c1_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0
| hskp27
| ~ hskp25 ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f337,plain,
! [X82,X83,X84] :
( c0_1(X82)
| c1_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0
| c0_1(X83)
| c1_1(X83)
| c3_1(X83)
| ~ ndr1_0
| c1_1(X84)
| ~ c2_1(X84)
| c3_1(X84)
| ~ ndr1_0 ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f338,plain,
( hskp28
| ~ hskp1
| hskp9 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f342,plain,
( ~ hskp30
| ~ hskp2
| hskp18 ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f343,plain,
( ~ hskp30
| hskp27
| hskp7 ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f344,plain,
( ~ hskp30
| hskp27
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f347,plain,
! [X82,X83,X84] :
( c0_1(X82)
| c1_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0
| c0_1(X83)
| c1_1(X83)
| c3_1(X83)
| c1_1(X84)
| ~ c2_1(X84)
| c3_1(X84) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f348,plain,
! [X78,X77] :
( c2_1(X77)
| ~ c3_1(X77)
| c1_1(X77)
| ~ ndr1_0
| ~ c3_1(X78)
| c0_1(X78)
| ~ c2_1(X78)
| hskp24 ),
inference(duplicate_literal_removal,[],[f333]) ).
fof(f349,plain,
! [X74,X75] :
( c2_1(X74)
| ~ c3_1(X74)
| c0_1(X74)
| ~ ndr1_0
| c2_1(X75)
| ~ c3_1(X75)
| c1_1(X75)
| ~ hskp22 ),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f352,plain,
! [X65,X66,X67] :
( ~ c1_1(X65)
| c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0
| c2_1(X66)
| c0_1(X66)
| c1_1(X66)
| c0_1(X67)
| c1_1(X67)
| c3_1(X67) ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f355,plain,
! [X59,X60] :
( ~ c1_1(X59)
| c2_1(X59)
| c3_1(X59)
| ~ ndr1_0
| c1_1(X60)
| ~ c2_1(X60)
| c3_1(X60)
| ~ hskp29 ),
inference(duplicate_literal_removal,[],[f323]) ).
fof(f357,plain,
! [X56,X55] :
( ~ c1_1(X55)
| c2_1(X55)
| c3_1(X55)
| ~ ndr1_0
| ~ c3_1(X56)
| c0_1(X56)
| c1_1(X56)
| ~ hskp0 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f358,plain,
! [X54,X53] :
( ~ c1_1(X53)
| c2_1(X53)
| c3_1(X53)
| ~ ndr1_0
| ~ c1_1(X54)
| ~ c2_1(X54)
| c3_1(X54)
| ~ hskp22 ),
inference(duplicate_literal_removal,[],[f320]) ).
fof(f360,plain,
! [X44,X43] :
( ~ c0_1(X43)
| ~ c2_1(X43)
| c3_1(X43)
| ~ ndr1_0
| ~ c1_1(X44)
| c0_1(X44)
| ~ c2_1(X44)
| ~ hskp5 ),
inference(duplicate_literal_removal,[],[f312]) ).
fof(f361,plain,
! [X40,X41,X42] :
( ~ c0_1(X40)
| ~ c2_1(X40)
| c3_1(X40)
| ~ ndr1_0
| ~ c1_1(X41)
| c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X42)
| c0_1(X42)
| ~ c2_1(X42) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f362,plain,
! [X38,X36,X37] :
( ~ c0_1(X36)
| c1_1(X36)
| ~ c2_1(X36)
| ~ ndr1_0
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ c2_1(X37)
| c2_1(X38)
| c0_1(X38)
| c3_1(X38) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f364,plain,
! [X31,X32] :
( ~ c0_1(X31)
| ~ c3_1(X31)
| c1_1(X31)
| ~ ndr1_0
| ~ c1_1(X32)
| ~ c3_1(X32)
| ~ c2_1(X32)
| ~ hskp0 ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f366,plain,
! [X26,X25] :
( ~ c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0
| ~ c1_1(X26)
| ~ c3_1(X26)
| c0_1(X26)
| hskp9 ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f368,plain,
! [X19,X20] :
( ~ c0_1(X19)
| c2_1(X19)
| c1_1(X19)
| ~ ndr1_0
| ~ c0_1(X20)
| c2_1(X20)
| c3_1(X20)
| hskp6 ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f376,definition,
( spl0_1
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f384,definition,
( spl0_3
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f393,definition,
( spl0_5
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f397,definition,
( spl0_6
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f402,definition,
( spl0_7
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f406,definition,
( spl0_8
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f410,definition,
( spl0_9
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f413,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f344,f410,f406,f402]) ).
fof(f414,plain,
( spl0_3
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f343,f410,f406,f384]) ).
fof(f415,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f342,f410,f397,f376]) ).
fof(f417,definition,
( spl0_10
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f431,definition,
( spl0_13
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f435,definition,
( spl0_14
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f440,definition,
( spl0_15
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f444,definition,
( spl0_16
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f447,plain,
( spl0_15
| spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f14,f444,f384,f440]) ).
fof(f449,definition,
( spl0_17
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f452,plain,
( spl0_15
| ~ spl0_17
| spl0_16 ),
inference(avatar_split_clause,[],[f338,f444,f449,f440]) ).
fof(f454,definition,
( spl0_18
<=> ! [X84] :
( c1_1(X84)
| c3_1(X84)
| ~ c2_1(X84) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f455,plain,
( ! [X84] :
( c3_1(X84)
| c1_1(X84)
| ~ c2_1(X84) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,definition,
( spl0_19
<=> ! [X83] :
( c0_1(X83)
| c3_1(X83)
| c1_1(X83) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f458,plain,
( ! [X83] :
( c3_1(X83)
| c0_1(X83)
| c1_1(X83) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,definition,
( spl0_20
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f464,definition,
( spl0_21
<=> ! [X82] :
( c0_1(X82)
| ~ c2_1(X82)
| c1_1(X82) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f465,plain,
( ! [X82] :
( c0_1(X82)
| ~ c2_1(X82)
| c1_1(X82) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( spl0_18
| spl0_19
| ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f347,f464,f460,f457,f454]) ).
fof(f468,definition,
( spl0_22
<=> ! [X81] :
( ~ c3_1(X81)
| ~ c2_1(X81)
| c1_1(X81) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f469,plain,
( ! [X81] :
( ~ c3_1(X81)
| ~ c2_1(X81)
| c1_1(X81) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( ~ spl0_13
| spl0_8
| ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f336,f468,f460,f406,f431]) ).
fof(f484,definition,
( spl0_26
<=> ! [X79] :
( c2_1(X79)
| c3_1(X79)
| c0_1(X79) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f485,plain,
( ! [X79] :
( c3_1(X79)
| c2_1(X79)
| c0_1(X79) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f488,definition,
( spl0_27
<=> ! [X78] :
( ~ c3_1(X78)
| ~ c2_1(X78)
| c0_1(X78) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f489,plain,
( ! [X78] :
( ~ c3_1(X78)
| ~ c2_1(X78)
| c0_1(X78) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,definition,
( spl0_28
<=> ! [X77] :
( c2_1(X77)
| c1_1(X77)
| ~ c3_1(X77) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f492,plain,
( ! [X77] :
( ~ c3_1(X77)
| c1_1(X77)
| c2_1(X77) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f493,plain,
( spl0_5
| spl0_27
| ~ spl0_20
| spl0_28 ),
inference(avatar_split_clause,[],[f348,f491,f460,f488,f393]) ).
fof(f495,definition,
( spl0_29
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f499,definition,
( spl0_30
<=> ! [X76] :
( c2_1(X76)
| c0_1(X76)
| ~ c3_1(X76) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f500,plain,
( ! [X76] :
( ~ c3_1(X76)
| c0_1(X76)
| c2_1(X76) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ spl0_29
| ~ spl0_6
| ~ spl0_20
| spl0_30 ),
inference(avatar_split_clause,[],[f332,f499,f460,f397,f495]) ).
fof(f502,plain,
( ~ spl0_10
| spl0_28
| ~ spl0_20
| spl0_30 ),
inference(avatar_split_clause,[],[f349,f499,f460,f491,f417]) ).
fof(f504,definition,
( spl0_31
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f508,definition,
( spl0_32
<=> ! [X73] :
( ~ c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f509,plain,
( ! [X73] :
( c3_1(X73)
| ~ c1_1(X73)
| ~ c2_1(X73) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( ~ spl0_31
| ~ spl0_17
| ~ spl0_20
| spl0_32 ),
inference(avatar_split_clause,[],[f330,f508,f460,f449,f504]) ).
fof(f518,definition,
( spl0_34
<=> ! [X69] :
( ~ c3_1(X69)
| c1_1(X69)
| c0_1(X69) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f519,plain,
( ! [X69] :
( ~ c3_1(X69)
| c1_1(X69)
| c0_1(X69) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f525,definition,
( spl0_36
<=> ! [X66] :
( c2_1(X66)
| c1_1(X66)
| c0_1(X66) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f526,plain,
( ! [X66] :
( c0_1(X66)
| c1_1(X66)
| c2_1(X66) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f528,definition,
( spl0_37
<=> ! [X65] :
( ~ c1_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f529,plain,
( ! [X65] :
( c0_1(X65)
| ~ c2_1(X65)
| ~ c1_1(X65) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f530,plain,
( spl0_19
| spl0_36
| ~ spl0_20
| spl0_37 ),
inference(avatar_split_clause,[],[f352,f528,f460,f525,f457]) ).
fof(f537,definition,
( spl0_39
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f544,definition,
( spl0_41
<=> ! [X61] :
( ~ c1_1(X61)
| c0_1(X61)
| ~ c3_1(X61) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f545,plain,
( ! [X61] :
( ~ c3_1(X61)
| c0_1(X61)
| ~ c1_1(X61) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl0_42
<=> ! [X59] :
( ~ c1_1(X59)
| c3_1(X59)
| c2_1(X59) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f549,plain,
( ! [X59] :
( c3_1(X59)
| ~ c1_1(X59)
| c2_1(X59) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( ~ spl0_39
| spl0_18
| ~ spl0_20
| spl0_42 ),
inference(avatar_split_clause,[],[f355,f548,f460,f454,f537]) ).
fof(f552,definition,
( spl0_43
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f556,plain,
( ~ spl0_31
| spl0_34
| ~ spl0_20
| spl0_42 ),
inference(avatar_split_clause,[],[f357,f548,f460,f518,f504]) ).
fof(f557,plain,
( ~ spl0_10
| spl0_32
| ~ spl0_20
| spl0_42 ),
inference(avatar_split_clause,[],[f358,f548,f460,f508,f417]) ).
fof(f575,definition,
( spl0_47
<=> ! [X45] :
( ~ c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f576,plain,
( ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( ~ spl0_43
| spl0_37
| ~ spl0_20
| spl0_47 ),
inference(avatar_split_clause,[],[f360,f575,f460,f528,f552]) ).
fof(f579,plain,
( spl0_27
| spl0_37
| ~ spl0_20
| spl0_47 ),
inference(avatar_split_clause,[],[f361,f575,f460,f528,f488]) ).
fof(f581,definition,
( spl0_48
<=> ! [X39] :
( ~ c0_1(X39)
| ~ c2_1(X39)
| c1_1(X39) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f582,plain,
( ! [X39] :
( ~ c0_1(X39)
| ~ c2_1(X39)
| c1_1(X39) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( ~ spl0_29
| spl0_14
| ~ spl0_20
| spl0_48 ),
inference(avatar_split_clause,[],[f310,f581,f460,f435,f495]) ).
fof(f585,definition,
( spl0_49
<=> ! [X37] :
( ~ c1_1(X37)
| ~ c2_1(X37)
| ~ c3_1(X37) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f586,plain,
( ! [X37] :
( ~ c3_1(X37)
| ~ c2_1(X37)
| ~ c1_1(X37) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( spl0_26
| spl0_49
| ~ spl0_20
| spl0_48 ),
inference(avatar_split_clause,[],[f362,f581,f460,f585,f484]) ).
fof(f598,definition,
( spl0_52
<=> ! [X31] :
( ~ c0_1(X31)
| c1_1(X31)
| ~ c3_1(X31) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f599,plain,
( ! [X31] :
( ~ c3_1(X31)
| c1_1(X31)
| ~ c0_1(X31) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f600,plain,
( ~ spl0_31
| spl0_49
| ~ spl0_20
| spl0_52 ),
inference(avatar_split_clause,[],[f364,f598,f460,f585,f504]) ).
fof(f606,definition,
( spl0_54
<=> ! [X30] :
( ~ c0_1(X30)
| c3_1(X30)
| c2_1(X30) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f607,plain,
( ! [X30] :
( c3_1(X30)
| ~ c0_1(X30)
| c2_1(X30) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f610,definition,
( spl0_55
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f619,plain,
( spl0_15
| spl0_41
| ~ spl0_20
| spl0_54 ),
inference(avatar_split_clause,[],[f366,f606,f460,f544,f440]) ).
fof(f621,definition,
( spl0_57
<=> ! [X24] :
( ~ c0_1(X24)
| c1_1(X24)
| c2_1(X24) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f622,plain,
( ! [X24] :
( ~ c0_1(X24)
| c1_1(X24)
| c2_1(X24) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( spl0_8
| spl0_16
| ~ spl0_20
| spl0_57 ),
inference(avatar_split_clause,[],[f301,f621,f460,f444,f406]) ).
fof(f625,plain,
( spl0_55
| spl0_54
| ~ spl0_20
| spl0_57 ),
inference(avatar_split_clause,[],[f368,f621,f460,f606,f610]) ).
fof(f657,definition,
( spl0_64
<=> c3_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f659,plain,
( ~ c3_1(a33)
| spl0_64 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f660,plain,
( ~ spl0_64
| spl0_9 ),
inference(avatar_split_clause,[],[f287,f410,f657]) ).
fof(f662,definition,
( spl0_65
<=> c2_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f665,plain,
( spl0_65
| spl0_9 ),
inference(avatar_split_clause,[],[f286,f410,f662]) ).
fof(f667,definition,
( spl0_66
<=> c0_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f669,plain,
( ~ c0_1(a33)
| spl0_66 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,plain,
( ~ spl0_66
| spl0_9 ),
inference(avatar_split_clause,[],[f285,f410,f667]) ).
fof(f673,definition,
( spl0_67
<=> c2_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f676,plain,
( spl0_67
| spl0_39 ),
inference(avatar_split_clause,[],[f283,f537,f673]) ).
fof(f678,definition,
( spl0_68
<=> c1_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f681,plain,
( ~ spl0_68
| spl0_39 ),
inference(avatar_split_clause,[],[f282,f537,f678]) ).
fof(f683,definition,
( spl0_69
<=> c0_1(a25) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f685,plain,
( ~ c0_1(a25)
| spl0_69 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,plain,
( ~ spl0_69
| spl0_39 ),
inference(avatar_split_clause,[],[f281,f537,f683]) ).
fof(f689,definition,
( spl0_70
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f691,plain,
( ~ c3_1(a15)
| spl0_70 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( ~ spl0_70
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f279,f444,f689]) ).
fof(f694,definition,
( spl0_71
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f697,plain,
( ~ spl0_71
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f278,f444,f694]) ).
fof(f699,definition,
( spl0_72
<=> c0_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f701,plain,
( ~ c0_1(a15)
| spl0_72 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,plain,
( ~ spl0_72
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f277,f444,f699]) ).
fof(f703,plain,
( spl0_20
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f77,f444,f460]) ).
fof(f705,definition,
( spl0_73
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f707,plain,
( ~ c3_1(a10)
| spl0_73 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f708,plain,
( ~ spl0_73
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f276,f406,f705]) ).
fof(f710,definition,
( spl0_74
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f713,plain,
( spl0_74
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f79,f406,f710]) ).
fof(f715,definition,
( spl0_75
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f718,plain,
( ~ spl0_75
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f275,f406,f715]) ).
fof(f737,definition,
( spl0_79
<=> c2_1(a64) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f740,plain,
( ~ spl0_79
| spl0_13 ),
inference(avatar_split_clause,[],[f270,f431,f737]) ).
fof(f742,definition,
( spl0_80
<=> c3_1(a64) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f744,plain,
( ~ c3_1(a64)
| spl0_80 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f745,plain,
( ~ spl0_80
| spl0_13 ),
inference(avatar_split_clause,[],[f269,f431,f742]) ).
fof(f747,definition,
( spl0_81
<=> c1_1(a64) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f750,plain,
( ~ spl0_81
| spl0_13 ),
inference(avatar_split_clause,[],[f268,f431,f747]) ).
fof(f753,definition,
( spl0_82
<=> c1_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f756,plain,
( spl0_82
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f266,f393,f753]) ).
fof(f758,definition,
( spl0_83
<=> c3_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f760,plain,
( ~ c3_1(a58)
| spl0_83 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( ~ spl0_83
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f265,f393,f758]) ).
fof(f763,definition,
( spl0_84
<=> c0_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f765,plain,
( ~ c0_1(a58)
| spl0_84 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f766,plain,
( ~ spl0_84
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f264,f393,f763]) ).
fof(f785,definition,
( spl0_88
<=> c3_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f787,plain,
( c3_1(a43)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
( spl0_88
| spl0_10 ),
inference(avatar_split_clause,[],[f261,f417,f785]) ).
fof(f790,definition,
( spl0_89
<=> c1_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f793,plain,
( spl0_89
| spl0_10 ),
inference(avatar_split_clause,[],[f260,f417,f790]) ).
fof(f795,definition,
( spl0_90
<=> c2_1(a43) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f798,plain,
( spl0_90
| spl0_10 ),
inference(avatar_split_clause,[],[f259,f417,f795]) ).
fof(f849,definition,
( spl0_100
<=> c2_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f852,plain,
( ~ spl0_100
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f114,f376,f849]) ).
fof(f854,definition,
( spl0_101
<=> c1_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f857,plain,
( spl0_101
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f248,f376,f854]) ).
fof(f859,definition,
( spl0_102
<=> c3_1(a34) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f861,plain,
( ~ c3_1(a34)
| spl0_102 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f862,plain,
( ~ spl0_102
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f247,f376,f859]) ).
fof(f865,definition,
( spl0_103
<=> c2_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f868,plain,
( ~ spl0_103
| spl0_7 ),
inference(avatar_split_clause,[],[f246,f402,f865]) ).
fof(f870,definition,
( spl0_104
<=> c0_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f873,plain,
( spl0_104
| spl0_7 ),
inference(avatar_split_clause,[],[f245,f402,f870]) ).
fof(f875,definition,
( spl0_105
<=> c3_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f877,plain,
( ~ c3_1(a32)
| spl0_105 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f878,plain,
( ~ spl0_105
| spl0_7 ),
inference(avatar_split_clause,[],[f244,f402,f875]) ).
fof(f897,definition,
( spl0_109
<=> c2_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f900,plain,
( ~ spl0_109
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f126,f435,f897]) ).
fof(f902,definition,
( spl0_110
<=> c1_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f905,plain,
( ~ spl0_110
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f240,f435,f902]) ).
fof(f907,definition,
( spl0_111
<=> c0_1(a27) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f909,plain,
( ~ c0_1(a27)
| spl0_111 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl0_111
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f239,f435,f907]) ).
fof(f993,definition,
( spl0_127
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f995,plain,
( c3_1(a12)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f996,plain,
( spl0_127
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f223,f440,f993]) ).
fof(f998,definition,
( spl0_128
<=> c2_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1001,plain,
( ~ spl0_128
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f151,f440,f998]) ).
fof(f1003,definition,
( spl0_129
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1006,plain,
( ~ spl0_129
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f222,f440,f1003]) ).
fof(f1007,plain,
( spl0_20
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f153,f440,f460]) ).
fof(f1025,definition,
( spl0_133
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f1028,plain,
( ~ spl0_133
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f158,f384,f1025]) ).
fof(f1030,definition,
( spl0_134
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1032,plain,
( c0_1(a9)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1033,plain,
( spl0_134
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f217,f384,f1030]) ).
fof(f1035,definition,
( spl0_135
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1038,plain,
( ~ spl0_135
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f216,f384,f1035]) ).
fof(f1041,definition,
( spl0_136
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1043,plain,
( c3_1(a8)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1044,plain,
( spl0_136
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f215,f610,f1041]) ).
fof(f1046,definition,
( spl0_137
<=> c2_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1049,plain,
( ~ spl0_137
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f163,f610,f1046]) ).
fof(f1051,definition,
( spl0_138
<=> c0_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1054,plain,
( ~ spl0_138
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f214,f610,f1051]) ).
fof(f1057,definition,
( spl0_139
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1059,plain,
( c3_1(a6)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,plain,
( spl0_139
| spl0_43 ),
inference(avatar_split_clause,[],[f213,f552,f1057]) ).
fof(f1062,definition,
( spl0_140
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1065,plain,
( spl0_140
| spl0_43 ),
inference(avatar_split_clause,[],[f212,f552,f1062]) ).
fof(f1067,definition,
( spl0_141
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1070,plain,
( ~ spl0_141
| spl0_43 ),
inference(avatar_split_clause,[],[f211,f552,f1067]) ).
fof(f1073,definition,
( spl0_142
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1076,plain,
( spl0_142
| spl0_29 ),
inference(avatar_split_clause,[],[f209,f495,f1073]) ).
fof(f1078,definition,
( spl0_143
<=> c3_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1080,plain,
( ~ c3_1(a5)
| spl0_143 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1081,plain,
( ~ spl0_143
| spl0_29 ),
inference(avatar_split_clause,[],[f208,f495,f1078]) ).
fof(f1083,definition,
( spl0_144
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1086,plain,
( spl0_144
| spl0_29 ),
inference(avatar_split_clause,[],[f207,f495,f1083]) ).
fof(f1105,definition,
( spl0_148
<=> c1_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1108,plain,
( spl0_148
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f397,f1105]) ).
fof(f1110,definition,
( spl0_149
<=> c2_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1113,plain,
( spl0_149
| spl0_6 ),
inference(avatar_split_clause,[],[f200,f397,f1110]) ).
fof(f1115,definition,
( spl0_150
<=> c0_1(a3) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1117,plain,
( ~ c0_1(a3)
| spl0_150 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1118,plain,
( ~ spl0_150
| spl0_6 ),
inference(avatar_split_clause,[],[f199,f397,f1115]) ).
fof(f1121,definition,
( spl0_151
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1124,plain,
( ~ spl0_151
| spl0_17 ),
inference(avatar_split_clause,[],[f197,f449,f1121]) ).
fof(f1126,definition,
( spl0_152
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1128,plain,
( ~ c3_1(a2)
| spl0_152 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1129,plain,
( ~ spl0_152
| spl0_17 ),
inference(avatar_split_clause,[],[f196,f449,f1126]) ).
fof(f1131,definition,
( spl0_153
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1134,plain,
( ~ spl0_153
| spl0_17 ),
inference(avatar_split_clause,[],[f195,f449,f1131]) ).
fof(f1135,plain,
( spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f194,f449,f460]) ).
fof(f1137,definition,
( spl0_154
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1139,plain,
( c0_1(a1)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1140,plain,
( spl0_154
| spl0_31 ),
inference(avatar_split_clause,[],[f193,f504,f1137]) ).
fof(f1142,definition,
( spl0_155
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1145,plain,
( spl0_155
| spl0_31 ),
inference(avatar_split_clause,[],[f192,f504,f1142]) ).
fof(f1147,definition,
( spl0_156
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1150,plain,
( ~ spl0_156
| spl0_31 ),
inference(avatar_split_clause,[],[f191,f504,f1147]) ).
fof(f1170,plain,
( c1_1(a10)
| ~ c2_1(a10)
| ~ spl0_18
| spl0_73 ),
inference(resolution,[],[f455,f707]) ).
fof(f1171,plain,
( c1_1(a15)
| ~ c2_1(a15)
| ~ spl0_18
| spl0_70 ),
inference(resolution,[],[f455,f691]) ).
fof(f1172,plain,
( c1_1(a33)
| ~ c2_1(a33)
| ~ spl0_18
| spl0_64 ),
inference(resolution,[],[f455,f659]) ).
fof(f1174,definition,
( spl0_157
<=> c1_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1177,plain,
( ~ spl0_65
| spl0_157
| ~ spl0_18
| spl0_64 ),
inference(avatar_split_clause,[],[f1172,f657,f454,f1174,f662]) ).
fof(f1179,definition,
( spl0_158
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1182,plain,
( ~ spl0_158
| spl0_71
| ~ spl0_18
| spl0_70 ),
inference(avatar_split_clause,[],[f1171,f689,f454,f694,f1179]) ).
fof(f1225,plain,
( c0_1(a64)
| c1_1(a64)
| ~ spl0_19
| spl0_80 ),
inference(resolution,[],[f458,f744]) ).
fof(f1226,plain,
( c0_1(a10)
| c1_1(a10)
| ~ spl0_19
| spl0_73 ),
inference(resolution,[],[f458,f707]) ).
fof(f1227,plain,
( c0_1(a15)
| c1_1(a15)
| ~ spl0_19
| spl0_70 ),
inference(resolution,[],[f458,f691]) ).
fof(f1232,definition,
( spl0_164
<=> c0_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1233,plain,
( ~ c0_1(a10)
| spl0_164 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1234,plain,
( c0_1(a10)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1237,definition,
( spl0_165
<=> c0_1(a64) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1238,plain,
( ~ c0_1(a64)
| spl0_165 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1239,plain,
( c0_1(a64)
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1240,plain,
( spl0_81
| spl0_165
| ~ spl0_19
| spl0_80 ),
inference(avatar_split_clause,[],[f1225,f742,f457,f1237,f747]) ).
fof(f1270,definition,
( spl0_171
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1271,plain,
( ~ c0_1(a12)
| spl0_171 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1272,plain,
( c0_1(a12)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1280,definition,
( spl0_173
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1296,definition,
( spl0_176
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1300,plain,
( ~ spl0_74
| spl0_75
| ~ spl0_18
| spl0_73 ),
inference(avatar_split_clause,[],[f1170,f705,f454,f715,f710]) ).
fof(f1377,plain,
( ~ c1_1(a5)
| ~ c2_1(a5)
| ~ spl0_32
| spl0_143 ),
inference(resolution,[],[f509,f1080]) ).
fof(f1397,definition,
( spl0_178
<=> c2_1(a58) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1458,plain,
( ~ c2_1(a15)
| c1_1(a15)
| ~ spl0_21
| spl0_72 ),
inference(resolution,[],[f465,f701]) ).
fof(f1473,plain,
( c1_1(a12)
| c2_1(a12)
| ~ spl0_36
| spl0_171 ),
inference(resolution,[],[f526,f1271]) ).
fof(f1479,plain,
( c1_1(a27)
| c2_1(a27)
| ~ spl0_36
| spl0_111 ),
inference(resolution,[],[f526,f909]) ).
fof(f1487,plain,
( c1_1(a64)
| c2_1(a64)
| ~ spl0_36
| spl0_165 ),
inference(resolution,[],[f526,f1238]) ).
fof(f1489,plain,
( c1_1(a15)
| c2_1(a15)
| ~ spl0_36
| spl0_72 ),
inference(resolution,[],[f526,f701]) ).
fof(f1493,plain,
( spl0_79
| spl0_81
| ~ spl0_36
| spl0_165 ),
inference(avatar_split_clause,[],[f1487,f1237,f525,f747,f737]) ).
fof(f1583,plain,
( c1_1(a12)
| c2_1(a12)
| ~ spl0_28
| ~ spl0_127 ),
inference(resolution,[],[f492,f995]) ).
fof(f1593,plain,
( spl0_128
| spl0_129
| ~ spl0_28
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1583,f993,f491,f1003,f998]) ).
fof(f1640,plain,
( ~ c2_1(a3)
| ~ c1_1(a3)
| ~ spl0_37
| spl0_150 ),
inference(resolution,[],[f529,f1117]) ).
fof(f1657,plain,
( ~ c1_1(a33)
| ~ c2_1(a33)
| ~ spl0_32
| spl0_64 ),
inference(resolution,[],[f659,f509]) ).
fof(f1695,plain,
( ~ spl0_144
| ~ spl0_142
| ~ spl0_32
| spl0_143 ),
inference(avatar_split_clause,[],[f1377,f1078,f508,f1073,f1083]) ).
fof(f1783,plain,
( ~ c1_1(a34)
| c2_1(a34)
| ~ spl0_42
| spl0_102 ),
inference(resolution,[],[f549,f861]) ).
fof(f1803,plain,
( c1_1(a12)
| c0_1(a12)
| ~ spl0_34
| ~ spl0_127 ),
inference(resolution,[],[f519,f995]) ).
fof(f1852,plain,
( ~ c0_1(a10)
| ~ c2_1(a10)
| ~ spl0_47
| spl0_73 ),
inference(resolution,[],[f576,f707]) ).
fof(f1859,plain,
( ~ c2_1(a1)
| c1_1(a1)
| ~ spl0_48
| ~ spl0_154 ),
inference(resolution,[],[f582,f1139]) ).
fof(f1885,plain,
( ~ c2_1(a10)
| c1_1(a10)
| ~ spl0_48
| ~ spl0_164 ),
inference(resolution,[],[f582,f1234]) ).
fof(f1901,plain,
( ~ c2_1(a43)
| ~ c1_1(a43)
| ~ spl0_49
| ~ spl0_88 ),
inference(resolution,[],[f586,f787]) ).
fof(f1962,plain,
( ~ c0_1(a32)
| c2_1(a32)
| ~ spl0_54
| spl0_105 ),
inference(resolution,[],[f607,f877]) ).
fof(f1976,plain,
( spl0_103
| ~ spl0_104
| ~ spl0_54
| spl0_105 ),
inference(avatar_split_clause,[],[f1962,f875,f606,f870,f865]) ).
fof(f1983,plain,
( c1_1(a8)
| c0_1(a8)
| ~ spl0_34
| ~ spl0_136 ),
inference(resolution,[],[f1043,f519]) ).
fof(f1997,plain,
( c1_1(a9)
| c2_1(a9)
| ~ spl0_57
| ~ spl0_134 ),
inference(resolution,[],[f622,f1032]) ).
fof(f1999,plain,
( c1_1(a12)
| c2_1(a12)
| ~ spl0_57
| ~ spl0_171 ),
inference(resolution,[],[f622,f1272]) ).
fof(f2014,plain,
( c1_1(a64)
| c2_1(a64)
| ~ spl0_57
| ~ spl0_165 ),
inference(resolution,[],[f622,f1239]) ).
fof(f2022,plain,
( spl0_79
| spl0_81
| ~ spl0_57
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f2014,f1237,f621,f747,f737]) ).
fof(f2029,plain,
( spl0_128
| spl0_129
| ~ spl0_57
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1999,f1270,f621,f1003,f998]) ).
fof(f2030,plain,
( spl0_133
| spl0_135
| ~ spl0_57
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1997,f1030,f621,f1035,f1025]) ).
fof(f2053,plain,
( spl0_71
| spl0_72
| ~ spl0_19
| spl0_70 ),
inference(avatar_split_clause,[],[f1227,f689,f457,f699,f694]) ).
fof(f2073,plain,
( c0_1(a2)
| c1_1(a2)
| ~ spl0_19
| spl0_152 ),
inference(resolution,[],[f458,f1128]) ).
fof(f2080,plain,
( c0_1(a33)
| c1_1(a33)
| ~ spl0_19
| spl0_64 ),
inference(resolution,[],[f458,f659]) ).
fof(f2119,plain,
( c2_1(a2)
| c0_1(a2)
| ~ spl0_26
| spl0_152 ),
inference(resolution,[],[f485,f1128]) ).
fof(f2124,plain,
( c2_1(a58)
| c0_1(a58)
| ~ spl0_26
| spl0_83 ),
inference(resolution,[],[f485,f760]) ).
fof(f2125,plain,
( c2_1(a15)
| c0_1(a15)
| ~ spl0_26
| spl0_70 ),
inference(resolution,[],[f485,f691]) ).
fof(f2127,plain,
( spl0_72
| spl0_158
| ~ spl0_26
| spl0_70 ),
inference(avatar_split_clause,[],[f2125,f689,f484,f1179,f699]) ).
fof(f2128,plain,
( spl0_153
| spl0_151
| ~ spl0_26
| spl0_152 ),
inference(avatar_split_clause,[],[f2119,f1126,f484,f1121,f1131]) ).
fof(f2132,plain,
( c0_1(a8)
| ~ c1_1(a8)
| ~ spl0_41
| ~ spl0_136 ),
inference(resolution,[],[f545,f1043]) ).
fof(f2147,plain,
( ~ spl0_173
| spl0_138
| ~ spl0_41
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2132,f1041,f544,f1051,f1280]) ).
fof(f2153,plain,
( ~ c1_1(a2)
| c2_1(a2)
| ~ spl0_42
| spl0_152 ),
inference(resolution,[],[f549,f1128]) ).
fof(f2164,plain,
( ~ spl0_148
| ~ spl0_149
| ~ spl0_37
| spl0_150 ),
inference(avatar_split_clause,[],[f1640,f1115,f528,f1110,f1105]) ).
fof(f2225,plain,
( ~ c2_1(a58)
| ~ c1_1(a58)
| ~ spl0_37
| spl0_84 ),
inference(resolution,[],[f529,f765]) ).
fof(f2230,plain,
( ~ c2_1(a33)
| ~ c1_1(a33)
| ~ spl0_37
| spl0_66 ),
inference(resolution,[],[f529,f669]) ).
fof(f2231,plain,
( ~ spl0_157
| ~ spl0_65
| ~ spl0_37
| spl0_66 ),
inference(avatar_split_clause,[],[f2230,f667,f528,f662,f1174]) ).
fof(f2238,plain,
( spl0_71
| ~ spl0_158
| ~ spl0_21
| spl0_72 ),
inference(avatar_split_clause,[],[f1458,f699,f464,f1179,f694]) ).
fof(f2249,plain,
( ~ spl0_65
| ~ spl0_157
| ~ spl0_32
| spl0_64 ),
inference(avatar_split_clause,[],[f1657,f657,f508,f1174,f662]) ).
fof(f2251,plain,
( spl0_128
| spl0_129
| ~ spl0_36
| spl0_171 ),
inference(avatar_split_clause,[],[f1473,f1270,f525,f1003,f998]) ).
fof(f2252,plain,
( spl0_109
| spl0_110
| ~ spl0_36
| spl0_111 ),
inference(avatar_split_clause,[],[f1479,f907,f525,f902,f897]) ).
fof(f2256,plain,
( spl0_158
| spl0_71
| ~ spl0_36
| spl0_72 ),
inference(avatar_split_clause,[],[f1489,f699,f525,f694,f1179]) ).
fof(f2261,plain,
( spl0_156
| ~ spl0_155
| ~ spl0_48
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1859,f1137,f581,f1142,f1147]) ).
fof(f2265,plain,
( spl0_75
| spl0_164
| ~ spl0_19
| spl0_73 ),
inference(avatar_split_clause,[],[f1226,f705,f457,f1232,f715]) ).
fof(f2267,plain,
( spl0_157
| spl0_66
| ~ spl0_19
| spl0_64 ),
inference(avatar_split_clause,[],[f2080,f657,f457,f667,f1174]) ).
fof(f2272,plain,
( spl0_84
| spl0_178
| ~ spl0_26
| spl0_83 ),
inference(avatar_split_clause,[],[f2124,f758,f484,f1397,f763]) ).
fof(f2320,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(resolution,[],[f489,f458]) ).
fof(f2323,plain,
( ~ c2_1(a6)
| c0_1(a6)
| ~ spl0_27
| ~ spl0_139 ),
inference(resolution,[],[f489,f1059]) ).
fof(f2336,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_19
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f2320]) ).
fof(f2338,plain,
( spl0_141
| ~ spl0_140
| ~ spl0_27
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2323,f1057,f488,f1062,f1067]) ).
fof(f2339,plain,
( spl0_21
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2336,f488,f457,f464]) ).
fof(f2343,plain,
( ~ spl0_74
| ~ spl0_164
| ~ spl0_47
| spl0_73 ),
inference(avatar_split_clause,[],[f1852,f705,f575,f1232,f710]) ).
fof(f2362,plain,
( ~ c2_1(a10)
| c1_1(a10)
| ~ spl0_21
| spl0_164 ),
inference(resolution,[],[f465,f1233]) ).
fof(f2364,plain,
( ~ c2_1(a25)
| c1_1(a25)
| ~ spl0_21
| spl0_69 ),
inference(resolution,[],[f465,f685]) ).
fof(f2365,plain,
( ~ c2_1(a33)
| c1_1(a33)
| ~ spl0_21
| spl0_66 ),
inference(resolution,[],[f465,f669]) ).
fof(f2424,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| c1_1(X0) )
| ~ spl0_22
| ~ spl0_47 ),
inference(resolution,[],[f576,f469]) ).
fof(f2436,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) )
| ~ spl0_22
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f2424]) ).
fof(f2439,plain,
( spl0_48
| ~ spl0_22
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2436,f575,f468,f581]) ).
fof(f2456,plain,
( spl0_138
| spl0_173
| ~ spl0_34
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1983,f1041,f518,f1280,f1051]) ).
fof(f2457,plain,
( spl0_171
| spl0_129
| ~ spl0_34
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1803,f993,f518,f1003,f1270]) ).
fof(f2470,plain,
( ~ spl0_89
| ~ spl0_90
| ~ spl0_49
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1901,f785,f585,f795,f790]) ).
fof(f2475,plain,
( spl0_176
| spl0_153
| ~ spl0_19
| spl0_152 ),
inference(avatar_split_clause,[],[f2073,f1126,f457,f1131,f1296]) ).
fof(f2494,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_19
| ~ spl0_30 ),
inference(resolution,[],[f500,f458]) ).
fof(f2509,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_19
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f2494]) ).
fof(f2511,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f2509,f499,f457,f525]) ).
fof(f2519,plain,
( spl0_75
| ~ spl0_74
| ~ spl0_48
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1885,f1232,f581,f710,f715]) ).
fof(f2528,plain,
( spl0_75
| ~ spl0_74
| ~ spl0_21
| spl0_164 ),
inference(avatar_split_clause,[],[f2362,f1232,f464,f710,f715]) ).
fof(f2529,plain,
( spl0_68
| ~ spl0_67
| ~ spl0_21
| spl0_69 ),
inference(avatar_split_clause,[],[f2364,f683,f464,f673,f678]) ).
fof(f2530,plain,
( spl0_157
| ~ spl0_65
| ~ spl0_21
| spl0_66 ),
inference(avatar_split_clause,[],[f2365,f667,f464,f662,f1174]) ).
fof(f2533,plain,
( spl0_100
| ~ spl0_101
| ~ spl0_42
| spl0_102 ),
inference(avatar_split_clause,[],[f1783,f859,f548,f854,f849]) ).
fof(f2536,plain,
( spl0_151
| ~ spl0_176
| ~ spl0_42
| spl0_152 ),
inference(avatar_split_clause,[],[f2153,f1126,f548,f1296,f1121]) ).
fof(f2547,plain,
( ~ spl0_82
| ~ spl0_178
| ~ spl0_37
| spl0_84 ),
inference(avatar_split_clause,[],[f2225,f763,f528,f1397,f753]) ).
fof(f2575,plain,
( c0_1(a8)
| c2_1(a8)
| ~ spl0_30
| ~ spl0_136 ),
inference(resolution,[],[f500,f1043]) ).
fof(f2582,plain,
( spl0_137
| spl0_138
| ~ spl0_30
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2575,f1041,f499,f1051,f1046]) ).
fof(f2628,plain,
( c1_1(a12)
| ~ c0_1(a12)
| ~ spl0_52
| ~ spl0_127 ),
inference(resolution,[],[f599,f995]) ).
fof(f2635,plain,
( ~ spl0_171
| spl0_129
| ~ spl0_52
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2628,f993,f598,f1003,f1270]) ).
cnf(s3,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f413]) ).
cnf(s4,plain,
( spl0_3
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f414]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f415]) ).
cnf(s9,plain,
( spl0_3
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f447]) ).
cnf(s10,plain,
( spl0_15
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f452]) ).
cnf(s11,plain,
( spl0_18
| spl0_19
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f466]) ).
cnf(s12,plain,
( spl0_8
| ~ spl0_13
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f470]) ).
cnf(s15,plain,
( spl0_5
| ~ spl0_20
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f493]) ).
cnf(s16,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f501]) ).
cnf(s17,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f502]) ).
cnf(s18,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f510]) ).
cnf(s22,plain,
( spl0_19
| ~ spl0_20
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f530]) ).
cnf(s25,plain,
( spl0_18
| ~ spl0_20
| ~ spl0_39
| spl0_42 ),
inference(sat_conversion,[],[f550]) ).
cnf(s27,plain,
( ~ spl0_20
| ~ spl0_31
| spl0_34
| spl0_42 ),
inference(sat_conversion,[],[f556]) ).
cnf(s28,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_32
| spl0_42 ),
inference(sat_conversion,[],[f557]) ).
cnf(s36,plain,
( ~ spl0_20
| spl0_37
| ~ spl0_43
| spl0_47 ),
inference(sat_conversion,[],[f578]) ).
cnf(s37,plain,
( ~ spl0_20
| spl0_27
| spl0_37
| spl0_47 ),
inference(sat_conversion,[],[f579]) ).
cnf(s38,plain,
( spl0_14
| ~ spl0_20
| ~ spl0_29
| spl0_48 ),
inference(sat_conversion,[],[f583]) ).
cnf(s39,plain,
( ~ spl0_20
| spl0_26
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f587]) ).
cnf(s42,plain,
( ~ spl0_20
| ~ spl0_31
| spl0_49
| spl0_52 ),
inference(sat_conversion,[],[f600]) ).
cnf(s46,plain,
( spl0_15
| ~ spl0_20
| spl0_41
| spl0_54 ),
inference(sat_conversion,[],[f619]) ).
cnf(s47,plain,
( spl0_8
| spl0_16
| ~ spl0_20
| spl0_57 ),
inference(sat_conversion,[],[f623]) ).
cnf(s49,plain,
( ~ spl0_20
| spl0_54
| spl0_55
| spl0_57 ),
inference(sat_conversion,[],[f625]) ).
cnf(s61,plain,
( spl0_9
| ~ spl0_64 ),
inference(sat_conversion,[],[f660]) ).
cnf(s62,plain,
( spl0_9
| spl0_65 ),
inference(sat_conversion,[],[f665]) ).
cnf(s63,plain,
( spl0_9
| ~ spl0_66 ),
inference(sat_conversion,[],[f670]) ).
cnf(s65,plain,
( spl0_39
| spl0_67 ),
inference(sat_conversion,[],[f676]) ).
cnf(s66,plain,
( spl0_39
| ~ spl0_68 ),
inference(sat_conversion,[],[f681]) ).
cnf(s67,plain,
( spl0_39
| ~ spl0_69 ),
inference(sat_conversion,[],[f686]) ).
cnf(s69,plain,
( ~ spl0_16
| ~ spl0_70 ),
inference(sat_conversion,[],[f692]) ).
cnf(s70,plain,
( ~ spl0_16
| ~ spl0_71 ),
inference(sat_conversion,[],[f697]) ).
cnf(s71,plain,
( ~ spl0_16
| ~ spl0_72 ),
inference(sat_conversion,[],[f702]) ).
cnf(s72,plain,
( ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f703]) ).
cnf(s73,plain,
( ~ spl0_8
| ~ spl0_73 ),
inference(sat_conversion,[],[f708]) ).
cnf(s74,plain,
( ~ spl0_8
| spl0_74 ),
inference(sat_conversion,[],[f713]) ).
cnf(s75,plain,
( ~ spl0_8
| ~ spl0_75 ),
inference(sat_conversion,[],[f718]) ).
cnf(s81,plain,
( spl0_13
| ~ spl0_79 ),
inference(sat_conversion,[],[f740]) ).
cnf(s82,plain,
( spl0_13
| ~ spl0_80 ),
inference(sat_conversion,[],[f745]) ).
cnf(s83,plain,
( spl0_13
| ~ spl0_81 ),
inference(sat_conversion,[],[f750]) ).
cnf(s85,plain,
( ~ spl0_5
| spl0_82 ),
inference(sat_conversion,[],[f756]) ).
cnf(s86,plain,
( ~ spl0_5
| ~ spl0_83 ),
inference(sat_conversion,[],[f761]) ).
cnf(s87,plain,
( ~ spl0_5
| ~ spl0_84 ),
inference(sat_conversion,[],[f766]) ).
cnf(s93,plain,
( spl0_10
| spl0_88 ),
inference(sat_conversion,[],[f788]) ).
cnf(s94,plain,
( spl0_10
| spl0_89 ),
inference(sat_conversion,[],[f793]) ).
cnf(s95,plain,
( spl0_10
| spl0_90 ),
inference(sat_conversion,[],[f798]) ).
cnf(s109,plain,
( ~ spl0_1
| ~ spl0_100 ),
inference(sat_conversion,[],[f852]) ).
cnf(s110,plain,
( ~ spl0_1
| spl0_101 ),
inference(sat_conversion,[],[f857]) ).
cnf(s111,plain,
( ~ spl0_1
| ~ spl0_102 ),
inference(sat_conversion,[],[f862]) ).
cnf(s113,plain,
( spl0_7
| ~ spl0_103 ),
inference(sat_conversion,[],[f868]) ).
cnf(s114,plain,
( spl0_7
| spl0_104 ),
inference(sat_conversion,[],[f873]) ).
cnf(s115,plain,
( spl0_7
| ~ spl0_105 ),
inference(sat_conversion,[],[f878]) ).
cnf(s121,plain,
( ~ spl0_14
| ~ spl0_109 ),
inference(sat_conversion,[],[f900]) ).
cnf(s122,plain,
( ~ spl0_14
| ~ spl0_110 ),
inference(sat_conversion,[],[f905]) ).
cnf(s123,plain,
( ~ spl0_14
| ~ spl0_111 ),
inference(sat_conversion,[],[f910]) ).
cnf(s145,plain,
( ~ spl0_15
| spl0_127 ),
inference(sat_conversion,[],[f996]) ).
cnf(s146,plain,
( ~ spl0_15
| ~ spl0_128 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s147,plain,
( ~ spl0_15
| ~ spl0_129 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s148,plain,
( ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s153,plain,
( ~ spl0_3
| ~ spl0_133 ),
inference(sat_conversion,[],[f1028]) ).
cnf(s154,plain,
( ~ spl0_3
| spl0_134 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s155,plain,
( ~ spl0_3
| ~ spl0_135 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s157,plain,
( ~ spl0_55
| spl0_136 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s158,plain,
( ~ spl0_55
| ~ spl0_137 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s159,plain,
( ~ spl0_55
| ~ spl0_138 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s161,plain,
( spl0_43
| spl0_139 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s162,plain,
( spl0_43
| spl0_140 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s163,plain,
( spl0_43
| ~ spl0_141 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s165,plain,
( spl0_29
| spl0_142 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s166,plain,
( spl0_29
| ~ spl0_143 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s167,plain,
( spl0_29
| spl0_144 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s173,plain,
( spl0_6
| spl0_148 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s174,plain,
( spl0_6
| spl0_149 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s175,plain,
( spl0_6
| ~ spl0_150 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s177,plain,
( spl0_17
| ~ spl0_151 ),
inference(sat_conversion,[],[f1124]) ).
cnf(s178,plain,
( spl0_17
| ~ spl0_152 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s179,plain,
( spl0_17
| ~ spl0_153 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s180,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s181,plain,
( spl0_31
| spl0_154 ),
inference(sat_conversion,[],[f1140]) ).
cnf(s182,plain,
( spl0_31
| spl0_155 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s183,plain,
( spl0_31
| ~ spl0_156 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s185,plain,
( ~ spl0_18
| spl0_64
| ~ spl0_65
| spl0_157 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s186,plain,
( ~ spl0_18
| spl0_70
| spl0_71
| ~ spl0_158 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s195,plain,
( ~ spl0_19
| spl0_80
| spl0_81
| spl0_165 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s211,plain,
( ~ spl0_18
| spl0_73
| ~ spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s242,plain,
( ~ spl0_36
| spl0_79
| spl0_81
| spl0_165 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s299,plain,
( ~ spl0_28
| ~ spl0_127
| spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s319,plain,
( ~ spl0_32
| ~ spl0_142
| spl0_143
| ~ spl0_144 ),
inference(sat_conversion,[],[f1695]) ).
cnf(s368,plain,
( ~ spl0_54
| spl0_103
| ~ spl0_104
| spl0_105 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s377,plain,
( ~ spl0_57
| spl0_79
| spl0_81
| ~ spl0_165 ),
inference(sat_conversion,[],[f2022]) ).
cnf(s384,plain,
( ~ spl0_57
| spl0_128
| spl0_129
| ~ spl0_171 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s385,plain,
( ~ spl0_57
| spl0_133
| ~ spl0_134
| spl0_135 ),
inference(sat_conversion,[],[f2030]) ).
cnf(s408,plain,
( ~ spl0_19
| spl0_70
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f2053]) ).
cnf(s425,plain,
( ~ spl0_26
| spl0_70
| spl0_72
| spl0_158 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s426,plain,
( ~ spl0_26
| spl0_151
| spl0_152
| spl0_153 ),
inference(sat_conversion,[],[f2128]) ).
cnf(s427,plain,
( ~ spl0_41
| ~ spl0_136
| spl0_138
| ~ spl0_173 ),
inference(sat_conversion,[],[f2147]) ).
cnf(s432,plain,
( ~ spl0_37
| ~ spl0_148
| ~ spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f2164]) ).
cnf(s449,plain,
( ~ spl0_37
| ~ spl0_65
| spl0_66
| ~ spl0_157 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s456,plain,
( ~ spl0_21
| spl0_71
| spl0_72
| ~ spl0_158 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s468,plain,
( ~ spl0_32
| spl0_64
| ~ spl0_65
| ~ spl0_157 ),
inference(sat_conversion,[],[f2249]) ).
cnf(s470,plain,
( ~ spl0_36
| spl0_128
| spl0_129
| spl0_171 ),
inference(sat_conversion,[],[f2251]) ).
cnf(s471,plain,
( ~ spl0_36
| spl0_109
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f2252]) ).
cnf(s475,plain,
( ~ spl0_36
| spl0_71
| spl0_72
| spl0_158 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s481,plain,
( ~ spl0_48
| ~ spl0_154
| ~ spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s485,plain,
( ~ spl0_19
| spl0_73
| spl0_75
| spl0_164 ),
inference(sat_conversion,[],[f2265]) ).
cnf(s487,plain,
( ~ spl0_19
| spl0_64
| spl0_66
| spl0_157 ),
inference(sat_conversion,[],[f2267]) ).
cnf(s492,plain,
( ~ spl0_26
| spl0_83
| spl0_84
| spl0_178 ),
inference(sat_conversion,[],[f2272]) ).
cnf(s512,plain,
( ~ spl0_27
| ~ spl0_139
| ~ spl0_140
| spl0_141 ),
inference(sat_conversion,[],[f2338]) ).
cnf(s513,plain,
( ~ spl0_19
| spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s517,plain,
( ~ spl0_47
| spl0_73
| ~ spl0_74
| ~ spl0_164 ),
inference(sat_conversion,[],[f2343]) ).
cnf(s521,plain,
( ~ spl0_22
| ~ spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f2439]) ).
cnf(s539,plain,
( ~ spl0_34
| ~ spl0_136
| spl0_138
| spl0_173 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s540,plain,
( ~ spl0_34
| ~ spl0_127
| spl0_129
| spl0_171 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s553,plain,
( ~ spl0_49
| ~ spl0_88
| ~ spl0_89
| ~ spl0_90 ),
inference(sat_conversion,[],[f2470]) ).
cnf(s558,plain,
( ~ spl0_19
| spl0_152
| spl0_153
| spl0_176 ),
inference(sat_conversion,[],[f2475]) ).
cnf(s568,plain,
( ~ spl0_19
| ~ spl0_30
| spl0_36 ),
inference(sat_conversion,[],[f2511]) ).
cnf(s576,plain,
( ~ spl0_48
| ~ spl0_74
| spl0_75
| ~ spl0_164 ),
inference(sat_conversion,[],[f2519]) ).
cnf(s584,plain,
( ~ spl0_21
| ~ spl0_74
| spl0_75
| spl0_164 ),
inference(sat_conversion,[],[f2528]) ).
cnf(s585,plain,
( ~ spl0_21
| ~ spl0_67
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s586,plain,
( ~ spl0_21
| ~ spl0_65
| spl0_66
| spl0_157 ),
inference(sat_conversion,[],[f2530]) ).
cnf(s590,plain,
( ~ spl0_42
| spl0_100
| ~ spl0_101
| spl0_102 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s593,plain,
( ~ spl0_42
| spl0_151
| spl0_152
| ~ spl0_176 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s604,plain,
( ~ spl0_37
| ~ spl0_82
| spl0_84
| ~ spl0_178 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s605,plain,
( ~ spl0_30
| ~ spl0_136
| spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f2582]) ).
cnf(s607,plain,
( ~ spl0_52
| ~ spl0_127
| spl0_129
| ~ spl0_171 ),
inference(sat_conversion,[],[f2635]) ).
cnf(s609,plain,
( spl0_13
| ~ spl0_57
| spl0_37
| ~ spl0_20 ),
inference(rat,[],[s22,s242,s195,s377,s81,s82,s83]) ).
cnf(s611,plain,
( ~ spl0_16
| spl0_37
| ~ spl0_20 ),
inference(rat,[],[s11,s186,s456,s475,s22,s408,s69,s70,s71]) ).
cnf(s613,plain,
( spl0_43
| ~ spl0_27 ),
inference(rat,[],[s512,s161,s162,s163]) ).
cnf(s614,plain,
( spl0_19
| ~ spl0_47
| spl0_128
| spl0_129
| spl0_37
| ~ spl0_20 ),
inference(rat,[],[s584,s11,s517,s211,s73,s74,s75,s47,s384,s470,s22,s611]) ).
cnf(s615,plain,
( ~ spl0_8
| ~ spl0_21
| ~ spl0_47 ),
inference(rat,[],[s517,s584,s73,s74,s75]) ).
cnf(s616,plain,
( spl0_39
| ~ spl0_21 ),
inference(rat,[],[s585,s65,s66,s67]) ).
cnf(s620,plain,
( spl0_31
| ~ spl0_48 ),
inference(rat,[],[s481,s181,s182,s183]) ).
cnf(s622,plain,
( ~ spl0_31
| spl0_32
| ~ spl0_19
| spl0_34
| ~ spl0_20 ),
inference(rat,[],[s558,s593,s177,s178,s179,s27,s18]) ).
cnf(s623,plain,
( spl0_47
| spl0_37
| ~ spl0_20 ),
inference(rat,[],[s613,s36,s37]) ).
cnf(s624,plain,
( spl0_8
| spl0_37
| spl0_3
| ~ spl0_20 ),
inference(rat,[],[s620,s622,s521,s468,s540,s12,s487,s384,s609,s61,s62,s63,s47,s4,s145,s614,s623,s146,s147,s9,s611]) ).
cnf(s625,plain,
( spl0_37
| spl0_3
| ~ spl0_20 ),
inference(rat,[],[s517,s485,s73,s74,s75,s624,s614,s623,s146,s147,s9,s611]) ).
cnf(s626,plain,
( spl0_9
| ~ spl0_37
| ~ spl0_20 ),
inference(rat,[],[s11,s185,s487,s586,s449,s61,s62,s63]) ).
cnf(s627,plain,
( ~ spl0_37
| ~ spl0_20
| spl0_1 ),
inference(rat,[],[s432,s173,s174,s175,s5,s626]) ).
cnf(s628,plain,
( spl0_37
| ~ spl0_20 ),
inference(rat,[],[s11,s485,s211,s517,s615,s73,s74,s75,s47,s385,s153,s154,s155,s625,s623,s611]) ).
cnf(s629,plain,
( ~ spl0_20
| spl0_1 ),
inference(rat,[],[s628,s627]) ).
cnf(s630,plain,
spl0_20,
inference(rat,[],[s10,s72,s148,s180]) ).
cnf(s631,plain,
spl0_1,
inference(rat,[],[s629,s630]) ).
cnf(s632,plain,
spl0_37,
inference(rat,[],[s628,s630]) ).
cnf(s633,plain,
~ spl0_102,
inference(rat,[],[s111,s631]) ).
cnf(s634,plain,
spl0_101,
inference(rat,[],[s110,s631]) ).
cnf(s635,plain,
~ spl0_100,
inference(rat,[],[s109,s631]) ).
cnf(s636,plain,
spl0_9,
inference(rat,[],[s626,s630,s632]) ).
cnf(s637,plain,
~ spl0_42,
inference(rat,[],[s590,s633,s634,s635]) ).
cnf(s640,plain,
spl0_6,
inference(rat,[],[s432,s173,s174,s175,s632]) ).
cnf(s641,plain,
( ~ spl0_31
| spl0_8 ),
inference(rat,[],[s607,s540,s145,s147,s46,s427,s539,s42,s27,s553,s93,s94,s95,s28,s319,s165,s166,s167,s16,s605,s157,s158,s159,s49,s368,s115,s113,s114,s3,s385,s153,s154,s155,s4,s630,s637,s636,s640]) ).
cnf(s642,plain,
spl0_8,
inference(rat,[],[s11,s186,s456,s425,s39,s620,s641,s553,s93,s94,s95,s28,s319,s165,s166,s167,s16,s605,s408,s157,s158,s159,s69,s70,s71,s49,s47,s368,s385,s113,s114,s115,s153,s154,s155,s3,s4,s630,s637,s640,s636]) ).
cnf(s643,plain,
~ spl0_75,
inference(rat,[],[s75,s642]) ).
cnf(s644,plain,
spl0_74,
inference(rat,[],[s74,s642]) ).
cnf(s645,plain,
~ spl0_73,
inference(rat,[],[s73,s642]) ).
cnf(s646,plain,
~ spl0_18,
inference(rat,[],[s211,s645,s643,s644]) ).
cnf(s647,plain,
~ spl0_39,
inference(rat,[],[s25,s637,s630,s646]) ).
cnf(s651,plain,
~ spl0_21,
inference(rat,[],[s616,s647]) ).
cnf(s652,plain,
spl0_19,
inference(rat,[],[s11,s646,s630,s651]) ).
cnf(s653,plain,
spl0_164,
inference(rat,[],[s485,s643,s645,s652]) ).
cnf(s654,plain,
~ spl0_27,
inference(rat,[],[s513,s651,s652]) ).
cnf(s656,plain,
~ spl0_48,
inference(rat,[],[s576,s643,s644,s653]) ).
cnf(s663,plain,
( spl0_10
| ~ spl0_49 ),
inference(rat,[],[s553,s93,s94,s95]) ).
cnf(s664,plain,
( ~ spl0_14
| ~ spl0_36 ),
inference(rat,[],[s471,s121,s122,s123]) ).
cnf(s665,plain,
spl0_28,
inference(rat,[],[s319,s165,s166,s167,s38,s664,s568,s17,s28,s663,s39,s492,s604,s85,s86,s87,s15,s630,s656,s652,s637,s632,s654]) ).
cnf(s666,plain,
( ~ spl0_15
| spl0_129 ),
inference(rat,[],[s299,s145,s146,s665]) ).
cnf(s667,plain,
( spl0_29
| ~ spl0_32 ),
inference(rat,[],[s319,s165,s166,s167]) ).
cnf(s668,plain,
~ spl0_29,
inference(rat,[],[s664,s568,s38,s16,s652,s630,s656,s640]) ).
cnf(s672,plain,
~ spl0_32,
inference(rat,[],[s667,s668]) ).
cnf(s675,plain,
~ spl0_10,
inference(rat,[],[s28,s637,s630,s672]) ).
cnf(s683,plain,
~ spl0_49,
inference(rat,[],[s663,s675]) ).
cnf(s688,plain,
spl0_26,
inference(rat,[],[s39,s656,s630,s683]) ).
cnf(s690,plain,
spl0_17,
inference(rat,[],[s426,s177,s178,s179,s688]) ).
cnf(s699,plain,
~ spl0_16,
inference(rat,[],[s408,s69,s70,s71,s652]) ).
cnf(s700,plain,
spl0_15,
inference(rat,[],[s10,s690,s699]) ).
cnf(s701,plain,
~ spl0_129,
inference(rat,[],[s147,s700]) ).
cnf(s704,plain,
$false,
inference(rat,[],[s666,s701,s700]) ).
fof(f2636,plain,
$false,
inference(avatar_sat_refutation,[],[s704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN443+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n004.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 16:03:06 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (493315)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (493326)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4171861106:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (493321)% WARNING: option uhcvi not known.
% 0.07/0.26 % (493320)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2384213396_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (493321)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3187590674:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (493322)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2241816615:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (493323)dis+10_1_sil=32000:sp=arity:random_seed=1092030391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (493324)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3308513225:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % Detected minimum model sizes of [1]
% 0.07/0.26 % Detected maximum model sizes of [31]
% 0.07/0.26 % TRYING [1]
% 0.07/0.26 % TRYING [2]
% 0.07/0.26 % TRYING [3]
% 0.07/0.26 % (493326) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-493315-493326"...
% 0.07/0.26 % (493325)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=79673725:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % TRYING [4]
% 0.07/0.26 % (493326)...printing done.
% 0.07/0.26 % (493326)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Theorem for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.27 % (493326)------------------------------
% 0.07/0.27 % (493326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.27 % (493326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.27 % (493326)CaDiCaL version: 2.1.3
% 0.07/0.27 % (493326)Termination reason: Refutation
% 0.07/0.27 % (493326)Time elapsed: 0.020 s
% 0.07/0.27 % (493326)Peak memory usage: 13 MB
% 0.07/0.27 % (493326)Instructions burned: 59 (million)
% 0.07/0.27 % (493315)Success in time 0.048 s
% 0.07/0.27 % Vampire exiting
%------------------------------------------------------------------------------