%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN465+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:53:02 PM UTC 2026
% Result : Theorem 0.83s 0.97s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 148
% Syntax : Number of formulae : 890 ( 23 unt; 147 def)
% Number of atoms : 6185 ( 0 equ)
% Maximal formula atoms : 668 ( 6 avg)
% Number of connectives : 8256 (2961 ~;3867 |; 975 &)
% ( 147 <=>; 306 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 185 ( 184 usr; 181 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 673 ( 0 sgn 673 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp28
| hskp0 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X17] :
( c0_1(X17)
| c2_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| hskp29
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25)
| ~ ndr1_0 )
| hskp7
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| hskp0
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 ) )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X38] :
( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 )
| hskp30
| hskp11 )
& ( ! [X39] :
( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| hskp30
| hskp8 )
& ( ! [X40] :
( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48)
| ~ ndr1_0 )
| hskp3
| hskp14 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X50] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54)
| ~ ndr1_0 )
| hskp30 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X56] :
( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp11
| hskp19 )
& ( ! [X57] :
( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| hskp20
| hskp4 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 ) )
& ( ! [X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X63] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| hskp30
| hskp23 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp6 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X71] :
( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X73] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 ) )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp8
| hskp21 )
& ( ! [X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X81] :
( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81)
| ~ ndr1_0 )
| hskp3
| hskp24 )
& ( ! [X82] :
( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X84] :
( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X85] :
( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp28
| hskp26 )
& ( ! [X86] :
( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X88] :
( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X90] :
( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90)
| ~ ndr1_0 )
| hskp28
| hskp9 )
& ( ! [X91] :
( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| hskp18
| hskp27 )
& ( ! [X92] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp0
| hskp2 )
& ( ! [X95] :
( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp29
| hskp19 )
& ( ! [X96] :
( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp26 )
& ( ! [X97] :
( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp24 )
& ( ! [X98] :
( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp28
| hskp31 )
& ( ! [X99] :
( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp15
| hskp13 )
& ( ! [X100] :
( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X101] :
( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp28
| hskp0 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X17] :
( c0_1(X17)
| c2_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| hskp29
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25)
| ~ ndr1_0 )
| hskp7
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| hskp0
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 ) )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X38] :
( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 )
| hskp30
| hskp11 )
& ( ! [X39] :
( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| hskp30
| hskp8 )
& ( ! [X40] :
( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48)
| ~ ndr1_0 )
| hskp3
| hskp14 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X50] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54)
| ~ ndr1_0 )
| hskp30 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X56] :
( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp11
| hskp19 )
& ( ! [X57] :
( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| hskp20
| hskp4 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 ) )
& ( ! [X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X63] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| hskp30
| hskp23 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp6 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X71] :
( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X73] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 ) )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp8
| hskp21 )
& ( ! [X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X81] :
( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81)
| ~ ndr1_0 )
| hskp3
| hskp24 )
& ( ! [X82] :
( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X84] :
( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X85] :
( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp28
| hskp26 )
& ( ! [X86] :
( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X88] :
( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X90] :
( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90)
| ~ ndr1_0 )
| hskp28
| hskp9 )
& ( ! [X91] :
( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| hskp18
| hskp27 )
& ( ! [X92] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp0
| hskp2 )
& ( ! [X95] :
( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp29
| hskp19 )
& ( ! [X96] :
( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp26 )
& ( ! [X97] :
( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp24 )
& ( ! [X98] :
( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp28
| hskp31 )
& ( ! [X99] :
( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp15
| hskp13 )
& ( ! [X100] :
( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X101] :
( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp21
| hskp24
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( hskp12
| hskp6
| hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
( hskp31
| hskp12
| hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X101] :
( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0
| hskp12
| hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X100] :
( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100)
| ~ ndr1_0
| hskp25
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X98] :
( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0
| hskp28
| hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X97] :
( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0
| hskp14
| hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X95] :
( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0
| hskp29
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X92,X93] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0
| ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X91] :
( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0
| hskp18
| hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X88] :
( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0
| hskp28
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X80,X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0
| c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0
| hskp8
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X76,X77,X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0
| ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0
| ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X73,X74] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0
| ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0
| hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X70,X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0
| c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0
| hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0
| hskp30
| hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X65,X66] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X63,X64] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0
| c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| ~ ndr1_0
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X62,X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0
| c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X58,X59,X60] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0
| c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0
| ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X56] :
( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0
| hskp11
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0
| hskp17
| hskp18 ),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
! [X50,X51,X52] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0
| c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0
| c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0
| hskp15
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
! [X44,X45,X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0
| c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0
| c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
! [X41,X42] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0
| c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X40] :
( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40)
| ~ ndr1_0
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X39] :
( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0
| hskp30
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f54,plain,
! [X38] :
( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0
| hskp30
| hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X36,X37] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0
| ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f56,plain,
! [X34,X35] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0
| c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X32,X33] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0
| c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| ~ ndr1_0
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X31,X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0
| c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X28,X29,X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0
| c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ ndr1_0
| ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f60,plain,
! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0
| hskp0
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
! [X18,X19] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0
| c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0
| hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X14,X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0
| c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| ~ ndr1_0
| hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
! [X10,X11,X12] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0
| c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| ~ ndr1_0
| c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( ~ hskp31
| c3_1(a76) ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( ~ hskp31
| c1_1(a76) ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( ~ hskp31
| c0_1(a76) ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( ~ hskp30
| c3_1(a20) ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ hskp30
| c2_1(a20) ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ hskp30
| c0_1(a20) ),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
( ~ hskp29
| c3_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
( ~ hskp29
| c2_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( ~ hskp29
| c1_1(a8) ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ hskp28
| c2_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ hskp28
| c1_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ hskp28
| c0_1(a2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ hskp27
| ~ c2_1(a65) ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
( ~ hskp27
| ~ c1_1(a65) ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( ~ hskp27
| c3_1(a65) ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ hskp25
| ~ c1_1(a54) ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ hskp25
| c3_1(a54) ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ hskp25
| c0_1(a54) ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ hskp24
| ~ c2_1(a52) ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( ~ hskp24
| ~ c0_1(a52) ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( ~ hskp24
| c3_1(a52) ),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( ~ hskp24
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f106,plain,
( ~ hskp23
| ~ c3_1(a42) ),
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
( ~ hskp23
| ~ c1_1(a42) ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( ~ hskp23
| c0_1(a42) ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( ~ hskp22
| ~ c3_1(a40) ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ hskp22
| ~ c2_1(a40) ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( ~ hskp22
| ~ c0_1(a40) ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ hskp21
| ~ c3_1(a39) ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ hskp21
| ~ c0_1(a39) ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ hskp21
| c2_1(a39) ),
inference(cnf_transformation,[],[f5]) ).
fof(f117,plain,
( ~ hskp21
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ~ hskp19
| ~ c3_1(a35) ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( ~ hskp19
| ~ c0_1(a35) ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( ~ hskp19
| c1_1(a35) ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( ~ hskp18
| ~ c3_1(a33) ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( ~ hskp18
| c1_1(a33) ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( ~ hskp17
| c2_1(a32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( ~ hskp17
| c0_1(a32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ hskp16
| ~ c1_1(a30) ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ hskp16
| c3_1(a30) ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( ~ hskp16
| c2_1(a30) ),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
( ~ hskp15
| ~ c3_1(a29) ),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
( ~ hskp15
| ~ c2_1(a29) ),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
( ~ hskp15
| c1_1(a29) ),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
( ~ hskp14
| ~ c0_1(a28) ),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
( ~ hskp14
| c3_1(a28) ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( ~ hskp14
| c2_1(a28) ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ hskp12
| ~ c2_1(a24) ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ hskp12
| c3_1(a24) ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ hskp12
| c1_1(a24) ),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
( ~ hskp11
| ~ c3_1(a21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
( ~ hskp11
| ~ c2_1(a21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f156,plain,
( ~ hskp11
| c0_1(a21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ hskp10
| ~ c2_1(a17) ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ hskp10
| ~ c0_1(a17) ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( ~ hskp10
| c1_1(a17) ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ hskp9
| ~ c3_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ hskp9
| ~ c2_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ hskp9
| ~ c1_1(a15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ hskp8
| ~ c0_1(a13) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ hskp8
| c2_1(a13) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( ~ hskp8
| c1_1(a13) ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ hskp7
| ~ c3_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ hskp7
| c1_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ hskp7
| c0_1(a12) ),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
( ~ hskp6
| ~ c3_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( ~ hskp6
| ~ c1_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
( ~ hskp6
| c2_1(a10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ hskp5
| ~ c2_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( ~ hskp5
| ~ c1_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( ~ hskp5
| ~ c0_1(a9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
( ~ hskp5
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ hskp3
| ~ c2_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( ~ hskp3
| c3_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( ~ hskp3
| c0_1(a6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
( ~ hskp2
| ~ c1_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( ~ hskp2
| ~ c0_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( ~ hskp2
| c2_1(a5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
( ~ hskp0
| ~ c2_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
( ~ hskp0
| ~ c1_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
( ~ hskp0
| c0_1(a1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
! [X92,X93] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0
| ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| hskp21 ),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f205,plain,
! [X80,X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0
| c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| hskp15 ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f206,plain,
! [X76,X77,X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0
| ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f207,plain,
! [X73,X74] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0
| ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| hskp3 ),
inference(duplicate_literal_removal,[],[f33]) ).
fof(f209,plain,
! [X70,X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0
| c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| hskp2 ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f210,plain,
! [X65,X66] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| hskp22 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f211,plain,
! [X63,X64] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0
| c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| hskp21 ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f212,plain,
! [X62,X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0
| c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| hskp8 ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f213,plain,
! [X58,X59,X60] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0
| c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f215,plain,
! [X50,X51,X52] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0
| c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f217,plain,
! [X44,X45,X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0
| c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f218,plain,
! [X41,X42] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0
| c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| hskp8 ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f219,plain,
! [X36,X37] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0
| ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| hskp5 ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f220,plain,
! [X34,X35] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0
| c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| hskp5 ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f221,plain,
! [X32,X33] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0
| c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| hskp10 ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f222,plain,
! [X31,X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0
| c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| hskp7 ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f223,plain,
! [X28,X29,X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0
| c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f226,plain,
! [X18,X19] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0
| c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| hskp6 ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f228,plain,
! [X14,X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0
| c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| hskp3 ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f229,plain,
! [X10,X11,X12] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0
| c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f235,definition,
( spl0_1
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f238,definition,
( spl0_2
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f241,definition,
( spl0_3
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f243,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f241,f238,f235]) ).
fof(f245,definition,
( spl0_4
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f248,definition,
( spl0_5
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f251,definition,
( spl0_6
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f253,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f251,f248,f245]) ).
fof(f258,definition,
( spl0_8
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f265,definition,
( spl0_10
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f269,definition,
( spl0_11
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f272,definition,
( spl0_12
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f276,definition,
( spl0_13
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f278,plain,
( spl0_2
| spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f11,f276,f251,f238]) ).
fof(f280,definition,
( spl0_14
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f283,definition,
( spl0_15
<=> ! [X101] :
( ~ c1_1(X101)
| ~ c3_1(X101)
| ~ c2_1(X101) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f284,plain,
( ! [X101] :
( ~ c2_1(X101)
| ~ c3_1(X101)
| ~ c1_1(X101) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( spl0_10
| spl0_6
| ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f283,f280,f251,f265]) ).
fof(f287,definition,
( spl0_16
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f290,definition,
( spl0_17
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f292,plain,
( spl0_16
| spl0_17
| ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f13,f283,f280,f290,f287]) ).
fof(f294,definition,
( spl0_18
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f297,definition,
( spl0_19
<=> ! [X99] :
( ~ c0_1(X99)
| ~ c3_1(X99)
| ~ c2_1(X99) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f298,plain,
( ! [X99] :
( ~ c2_1(X99)
| ~ c3_1(X99)
| ~ c0_1(X99) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl0_20
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f303,plain,
( spl0_13
| spl0_20
| ~ spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f15,f297,f280,f301,f276]) ).
fof(f305,definition,
( spl0_21
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f308,definition,
( spl0_22
<=> ! [X97] :
( ~ c0_1(X97)
| ~ c3_1(X97)
| ~ c1_1(X97) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f309,plain,
( ! [X97] :
( ~ c1_1(X97)
| ~ c3_1(X97)
| ~ c0_1(X97) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( spl0_2
| spl0_21
| ~ spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f16,f308,f280,f305,f238]) ).
fof(f313,definition,
( spl0_23
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f316,definition,
( spl0_24
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f318,plain,
( spl0_23
| spl0_24
| ~ spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f18,f308,f280,f316,f313]) ).
fof(f320,definition,
( spl0_25
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f323,plain,
( spl0_3
| spl0_19
| ~ spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f202,f308,f280,f297,f241]) ).
fof(f325,definition,
( spl0_26
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f328,definition,
( spl0_27
<=> ! [X91] :
( ~ c0_1(X91)
| ~ c2_1(X91)
| ~ c1_1(X91) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f329,plain,
( ! [X91] :
( ~ c2_1(X91)
| ~ c0_1(X91)
| ~ c1_1(X91) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( spl0_4
| spl0_26
| ~ spl0_14
| spl0_27 ),
inference(avatar_split_clause,[],[f21,f328,f280,f325,f245]) ).
fof(f333,definition,
( spl0_28
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f336,definition,
( spl0_29
<=> ! [X89] :
( c2_1(X89)
| ~ c3_1(X89)
| ~ c1_1(X89) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f337,plain,
( ! [X89] :
( c2_1(X89)
| ~ c3_1(X89)
| ~ c1_1(X89) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( spl0_28
| ~ spl0_14
| spl0_29 ),
inference(avatar_split_clause,[],[f23,f336,f280,f333]) ).
fof(f339,plain,
( spl0_12
| spl0_20
| ~ spl0_14
| spl0_29 ),
inference(avatar_split_clause,[],[f24,f336,f280,f301,f272]) ).
fof(f341,definition,
( spl0_30
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f351,definition,
( spl0_33
<=> ! [X85] :
( c2_1(X85)
| ~ c1_1(X85)
| ~ c0_1(X85) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f352,plain,
( ! [X85] :
( c2_1(X85)
| ~ c1_1(X85)
| ~ c0_1(X85) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f360,definition,
( spl0_35
<=> ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| c3_1(X81) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f361,plain,
( ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| c3_1(X81) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f364,definition,
( spl0_36
<=> ! [X79] :
( c1_1(X79)
| ~ c3_1(X79)
| ~ c2_1(X79) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f365,plain,
( ! [X79] :
( ~ c2_1(X79)
| ~ c3_1(X79)
| c1_1(X79) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( spl0_18
| spl0_33
| ~ spl0_14
| spl0_36 ),
inference(avatar_split_clause,[],[f205,f364,f280,f351,f294]) ).
fof(f368,definition,
( spl0_37
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f371,definition,
( spl0_38
<=> ! [X78] :
( c1_1(X78)
| ~ c3_1(X78)
| ~ c0_1(X78) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f372,plain,
( ! [X78] :
( c1_1(X78)
| ~ c3_1(X78)
| ~ c0_1(X78) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( spl0_3
| spl0_37
| ~ spl0_14
| spl0_38 ),
inference(avatar_split_clause,[],[f31,f371,f280,f368,f241]) ).
fof(f374,plain,
( spl0_19
| spl0_22
| ~ spl0_14
| spl0_38 ),
inference(avatar_split_clause,[],[f206,f371,f280,f308,f297]) ).
fof(f376,definition,
( spl0_39
<=> ! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| c3_1(X73) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f377,plain,
( ! [X73] :
( ~ c2_1(X73)
| c1_1(X73)
| c3_1(X73) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( spl0_8
| spl0_15
| ~ spl0_14
| spl0_39 ),
inference(avatar_split_clause,[],[f207,f376,f280,f283,f258]) ).
fof(f381,definition,
( spl0_40
<=> ! [X69] :
( c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f382,plain,
( ! [X69] :
( c1_1(X69)
| ~ c0_1(X69)
| c3_1(X69) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( spl0_10
| spl0_38
| ~ spl0_14
| spl0_40 ),
inference(avatar_split_clause,[],[f209,f381,f280,f371,f265]) ).
fof(f389,definition,
( spl0_42
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f392,definition,
( spl0_43
<=> ! [X67] :
( c1_1(X67)
| ~ c0_1(X67)
| c2_1(X67) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f393,plain,
( ! [X67] :
( c2_1(X67)
| ~ c0_1(X67)
| c1_1(X67) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f394,plain,
( spl0_42
| spl0_11
| ~ spl0_14
| spl0_43 ),
inference(avatar_split_clause,[],[f37,f392,f280,f269,f389]) ).
fof(f396,definition,
( spl0_44
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f398,plain,
( spl0_44
| spl0_22
| ~ spl0_14
| spl0_43 ),
inference(avatar_split_clause,[],[f210,f392,f280,f308,f396]) ).
fof(f400,definition,
( spl0_45
<=> ! [X64] :
( c3_1(X64)
| ~ c1_1(X64)
| ~ c0_1(X64) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f401,plain,
( ! [X64] :
( ~ c1_1(X64)
| c3_1(X64)
| ~ c0_1(X64) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,definition,
( spl0_46
<=> ! [X63] :
( c1_1(X63)
| c3_1(X63)
| c2_1(X63) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f404,plain,
( ! [X63] :
( c2_1(X63)
| c3_1(X63)
| c1_1(X63) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( spl0_3
| spl0_45
| ~ spl0_14
| spl0_46 ),
inference(avatar_split_clause,[],[f211,f403,f280,f400,f241]) ).
fof(f406,plain,
( spl0_37
| spl0_36
| ~ spl0_14
| spl0_46 ),
inference(avatar_split_clause,[],[f212,f403,f280,f364,f368]) ).
fof(f408,definition,
( spl0_47
<=> ! [X59] :
( c1_1(X59)
| ~ c2_1(X59)
| ~ c0_1(X59) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f409,plain,
( ! [X59] :
( ~ c2_1(X59)
| c1_1(X59)
| ~ c0_1(X59) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( spl0_19
| spl0_47
| ~ spl0_14
| spl0_46 ),
inference(avatar_split_clause,[],[f213,f403,f280,f408,f297]) ).
fof(f422,definition,
( spl0_51
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f425,definition,
( spl0_52
<=> ! [X56] :
( c0_1(X56)
| ~ c3_1(X56)
| ~ c1_1(X56) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f426,plain,
( ! [X56] :
( ~ c1_1(X56)
| ~ c3_1(X56)
| c0_1(X56) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl0_23
| spl0_51
| ~ spl0_14
| spl0_52 ),
inference(avatar_split_clause,[],[f43,f425,f280,f422,f313]) ).
fof(f429,definition,
( spl0_53
<=> ! [X55] :
( c0_1(X55)
| ~ c2_1(X55)
| ~ c1_1(X55) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f430,plain,
( ! [X55] :
( ~ c2_1(X55)
| c0_1(X55)
| ~ c1_1(X55) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( spl0_26
| spl0_30
| ~ spl0_14
| spl0_53 ),
inference(avatar_split_clause,[],[f44,f429,f280,f341,f325]) ).
fof(f433,plain,
( spl0_40
| spl0_52
| ~ spl0_14
| spl0_53 ),
inference(avatar_split_clause,[],[f215,f429,f280,f425,f381]) ).
fof(f435,definition,
( spl0_54
<=> ! [X49] :
( c0_1(X49)
| ~ c2_1(X49)
| c3_1(X49) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f436,plain,
( ! [X49] :
( ~ c2_1(X49)
| c0_1(X49)
| c3_1(X49) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( spl0_28
| spl0_18
| ~ spl0_14
| spl0_54 ),
inference(avatar_split_clause,[],[f47,f435,f280,f294,f333]) ).
fof(f440,plain,
( spl0_45
| spl0_35
| ~ spl0_14
| spl0_54 ),
inference(avatar_split_clause,[],[f217,f435,f280,f360,f400]) ).
fof(f441,plain,
( spl0_37
| spl0_36
| ~ spl0_14
| spl0_54 ),
inference(avatar_split_clause,[],[f218,f435,f280,f364,f368]) ).
fof(f443,definition,
( spl0_55
<=> ! [X40] :
( c0_1(X40)
| ~ c1_1(X40)
| c3_1(X40) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f444,plain,
( ! [X40] :
( ~ c1_1(X40)
| c0_1(X40)
| c3_1(X40) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( spl0_6
| ~ spl0_14
| spl0_55 ),
inference(avatar_split_clause,[],[f52,f443,f280,f251]) ).
fof(f446,plain,
( spl0_37
| spl0_11
| ~ spl0_14
| spl0_55 ),
inference(avatar_split_clause,[],[f53,f443,f280,f269,f368]) ).
fof(f448,definition,
( spl0_56
<=> ! [X38] :
( c0_1(X38)
| ~ c3_1(X38)
| c2_1(X38) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f449,plain,
( ! [X38] :
( c2_1(X38)
| ~ c3_1(X38)
| c0_1(X38) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( spl0_51
| spl0_11
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f54,f448,f280,f269,f422]) ).
fof(f451,plain,
( spl0_1
| spl0_22
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f219,f448,f280,f308,f235]) ).
fof(f452,plain,
( spl0_1
| spl0_45
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f220,f448,f280,f400,f235]) ).
fof(f454,definition,
( spl0_57
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f456,plain,
( spl0_57
| spl0_40
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f221,f448,f280,f381,f454]) ).
fof(f457,plain,
( spl0_12
| spl0_40
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f222,f448,f280,f381,f272]) ).
fof(f458,plain,
( spl0_15
| spl0_53
| ~ spl0_14
| spl0_56 ),
inference(avatar_split_clause,[],[f223,f448,f280,f429,f283]) ).
fof(f460,definition,
( spl0_58
<=> ! [X26] :
( c0_1(X26)
| ~ c1_1(X26)
| c2_1(X26) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f461,plain,
( ! [X26] :
( c2_1(X26)
| ~ c1_1(X26)
| c0_1(X26) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl0_16
| spl0_25
| ~ spl0_14
| spl0_58 ),
inference(avatar_split_clause,[],[f60,f460,f280,f320,f287]) ).
fof(f466,plain,
( spl0_5
| spl0_55
| ~ spl0_14
| spl0_58 ),
inference(avatar_split_clause,[],[f226,f460,f280,f443,f248]) ).
fof(f473,definition,
( spl0_60
<=> ! [X13] :
( c0_1(X13)
| ~ c3_1(X13)
| c1_1(X13) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f474,plain,
( ! [X13] :
( c1_1(X13)
| ~ c3_1(X13)
| c0_1(X13) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( spl0_8
| spl0_33
| ~ spl0_14
| spl0_60 ),
inference(avatar_split_clause,[],[f228,f473,f280,f351,f258]) ).
fof(f477,definition,
( spl0_61
<=> ! [X10] :
( c0_1(X10)
| ~ c2_1(X10)
| c1_1(X10) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f478,plain,
( ! [X10] :
( ~ c2_1(X10)
| c0_1(X10)
| c1_1(X10) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( spl0_54
| spl0_58
| ~ spl0_14
| spl0_61 ),
inference(avatar_split_clause,[],[f229,f477,f280,f460,f435]) ).
fof(f495,definition,
( spl0_65
<=> c3_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f498,plain,
( spl0_65
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f74,f276,f495]) ).
fof(f500,definition,
( spl0_66
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f501,plain,
( c1_1(a76)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( spl0_66
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f75,f276,f500]) ).
fof(f504,definition,
( spl0_67
<=> c0_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f506,plain,
( spl0_67
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f76,f276,f504]) ).
fof(f510,definition,
( spl0_68
<=> c3_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f511,plain,
( c3_1(a20)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f513,plain,
( spl0_68
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f78,f269,f510]) ).
fof(f515,definition,
( spl0_69
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f516,plain,
( c2_1(a20)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( spl0_69
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f79,f269,f515]) ).
fof(f519,definition,
( spl0_70
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f521,plain,
( spl0_70
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f80,f269,f519]) ).
fof(f524,definition,
( spl0_71
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f527,plain,
( spl0_71
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f82,f316,f524]) ).
fof(f529,definition,
( spl0_72
<=> c2_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f530,plain,
( c2_1(a8)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( spl0_72
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f83,f316,f529]) ).
fof(f533,definition,
( spl0_73
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f535,plain,
( spl0_73
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f84,f316,f533]) ).
fof(f538,definition,
( spl0_74
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f539,plain,
( c2_1(a2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( spl0_74
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f86,f301,f538]) ).
fof(f543,definition,
( spl0_75
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f544,plain,
( c1_1(a2)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f545,plain,
( spl0_75
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f87,f301,f543]) ).
fof(f547,definition,
( spl0_76
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f549,plain,
( spl0_76
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f88,f301,f547]) ).
fof(f552,definition,
( spl0_77
<=> c2_1(a65) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f553,plain,
( ~ c2_1(a65)
| spl0_77 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
( ~ spl0_77
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f90,f245,f552]) ).
fof(f557,definition,
( spl0_78
<=> c1_1(a65) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f558,plain,
( ~ c1_1(a65)
| spl0_78 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( ~ spl0_78
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f91,f245,f557]) ).
fof(f561,definition,
( spl0_79
<=> c3_1(a65) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f563,plain,
( spl0_79
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f92,f245,f561]) ).
fof(f580,definition,
( spl0_83
<=> c1_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f581,plain,
( ~ c1_1(a54)
| spl0_83 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f583,plain,
( ~ spl0_83
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f98,f290,f580]) ).
fof(f585,definition,
( spl0_84
<=> c3_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f587,plain,
( spl0_84
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f99,f290,f585]) ).
fof(f589,definition,
( spl0_85
<=> c0_1(a54) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f591,plain,
( spl0_85
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f100,f290,f589]) ).
fof(f594,definition,
( spl0_86
<=> c2_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f595,plain,
( ~ c2_1(a52)
| spl0_86 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,plain,
( ~ spl0_86
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f102,f238,f594]) ).
fof(f599,definition,
( spl0_87
<=> c0_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f601,plain,
( ~ spl0_87
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f103,f238,f599]) ).
fof(f603,definition,
( spl0_88
<=> c3_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f605,plain,
( spl0_88
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f104,f238,f603]) ).
fof(f606,plain,
( spl0_14
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f105,f238,f280]) ).
fof(f608,definition,
( spl0_89
<=> c3_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f611,plain,
( ~ spl0_89
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f106,f389,f608]) ).
fof(f613,definition,
( spl0_90
<=> c1_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f614,plain,
( ~ c1_1(a42)
| spl0_90 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f615,plain,
( ~ spl0_90
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f107,f389,f613]) ).
fof(f617,definition,
( spl0_91
<=> c0_1(a42) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f619,plain,
( spl0_91
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f108,f389,f617]) ).
fof(f622,definition,
( spl0_92
<=> c3_1(a40) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f625,plain,
( ~ spl0_92
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f110,f396,f622]) ).
fof(f627,definition,
( spl0_93
<=> c2_1(a40) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f628,plain,
( ~ c2_1(a40)
| spl0_93 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f629,plain,
( ~ spl0_93
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f111,f396,f627]) ).
fof(f631,definition,
( spl0_94
<=> c0_1(a40) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f633,plain,
( ~ spl0_94
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f112,f396,f631]) ).
fof(f636,definition,
( spl0_95
<=> c3_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f639,plain,
( ~ spl0_95
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f114,f241,f636]) ).
fof(f641,definition,
( spl0_96
<=> c0_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f643,plain,
( ~ spl0_96
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f115,f241,f641]) ).
fof(f645,definition,
( spl0_97
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f646,plain,
( c2_1(a39)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f647,plain,
( spl0_97
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f116,f241,f645]) ).
fof(f648,plain,
( spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f117,f241,f280]) ).
fof(f664,definition,
( spl0_101
<=> c3_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f667,plain,
( ~ spl0_101
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f122,f313,f664]) ).
fof(f669,definition,
( spl0_102
<=> c0_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f671,plain,
( ~ spl0_102
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f123,f313,f669]) ).
fof(f673,definition,
( spl0_103
<=> c1_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f674,plain,
( c1_1(a35)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( spl0_103
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f124,f313,f673]) ).
fof(f678,definition,
( spl0_104
<=> c3_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f681,plain,
( ~ spl0_104
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f126,f325,f678]) ).
fof(f687,definition,
( spl0_106
<=> c1_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f688,plain,
( c1_1(a33)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( spl0_106
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f128,f325,f687]) ).
fof(f697,definition,
( spl0_108
<=> c2_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f698,plain,
( c2_1(a32)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f699,plain,
( spl0_108
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f131,f341,f697]) ).
fof(f701,definition,
( spl0_109
<=> c0_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f703,plain,
( spl0_109
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f132,f341,f701]) ).
fof(f706,definition,
( spl0_110
<=> c1_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f707,plain,
( ~ c1_1(a30)
| spl0_110 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f709,plain,
( ~ spl0_110
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f134,f333,f706]) ).
fof(f711,definition,
( spl0_111
<=> c3_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f713,plain,
( spl0_111
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f135,f333,f711]) ).
fof(f715,definition,
( spl0_112
<=> c2_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f716,plain,
( c2_1(a30)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( spl0_112
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f136,f333,f715]) ).
fof(f720,definition,
( spl0_113
<=> c3_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f723,plain,
( ~ spl0_113
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f138,f294,f720]) ).
fof(f725,definition,
( spl0_114
<=> c2_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f726,plain,
( ~ c2_1(a29)
| spl0_114 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f727,plain,
( ~ spl0_114
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f139,f294,f725]) ).
fof(f729,definition,
( spl0_115
<=> c1_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f730,plain,
( c1_1(a29)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f731,plain,
( spl0_115
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f140,f294,f729]) ).
fof(f734,definition,
( spl0_116
<=> c0_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f737,plain,
( ~ spl0_116
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f142,f305,f734]) ).
fof(f739,definition,
( spl0_117
<=> c3_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f741,plain,
( spl0_117
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f143,f305,f739]) ).
fof(f743,definition,
( spl0_118
<=> c2_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f744,plain,
( c2_1(a28)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( spl0_118
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f144,f305,f743]) ).
fof(f762,definition,
( spl0_122
<=> c2_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f763,plain,
( ~ c2_1(a24)
| spl0_122 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f765,plain,
( ~ spl0_122
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f150,f251,f762]) ).
fof(f767,definition,
( spl0_123
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f769,plain,
( spl0_123
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f151,f251,f767]) ).
fof(f771,definition,
( spl0_124
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f772,plain,
( c1_1(a24)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f773,plain,
( spl0_124
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f152,f251,f771]) ).
fof(f776,definition,
( spl0_125
<=> c3_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f779,plain,
( ~ spl0_125
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f154,f422,f776]) ).
fof(f781,definition,
( spl0_126
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f782,plain,
( ~ c2_1(a21)
| spl0_126 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f783,plain,
( ~ spl0_126
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f155,f422,f781]) ).
fof(f785,definition,
( spl0_127
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f787,plain,
( spl0_127
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f156,f422,f785]) ).
fof(f790,definition,
( spl0_128
<=> c2_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f791,plain,
( ~ c2_1(a17)
| spl0_128 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f793,plain,
( ~ spl0_128
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f158,f454,f790]) ).
fof(f795,definition,
( spl0_129
<=> c0_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f797,plain,
( ~ spl0_129
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f159,f454,f795]) ).
fof(f799,definition,
( spl0_130
<=> c1_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f801,plain,
( spl0_130
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f160,f454,f799]) ).
fof(f804,definition,
( spl0_131
<=> c3_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f807,plain,
( ~ spl0_131
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f162,f287,f804]) ).
fof(f809,definition,
( spl0_132
<=> c2_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f810,plain,
( ~ c2_1(a15)
| spl0_132 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f811,plain,
( ~ spl0_132
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f163,f287,f809]) ).
fof(f813,definition,
( spl0_133
<=> c1_1(a15) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f815,plain,
( ~ spl0_133
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f164,f287,f813]) ).
fof(f818,definition,
( spl0_134
<=> c0_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f821,plain,
( ~ spl0_134
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f166,f368,f818]) ).
fof(f823,definition,
( spl0_135
<=> c2_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f824,plain,
( c2_1(a13)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f825,plain,
( spl0_135
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f167,f368,f823]) ).
fof(f827,definition,
( spl0_136
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f828,plain,
( c1_1(a13)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f829,plain,
( spl0_136
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f168,f368,f827]) ).
fof(f832,definition,
( spl0_137
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f835,plain,
( ~ spl0_137
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f170,f272,f832]) ).
fof(f837,definition,
( spl0_138
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f838,plain,
( c1_1(a12)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f839,plain,
( spl0_138
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f171,f272,f837]) ).
fof(f841,definition,
( spl0_139
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f843,plain,
( spl0_139
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f172,f272,f841]) ).
fof(f846,definition,
( spl0_140
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f849,plain,
( ~ spl0_140
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f174,f248,f846]) ).
fof(f851,definition,
( spl0_141
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f852,plain,
( ~ c1_1(a10)
| spl0_141 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f853,plain,
( ~ spl0_141
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f175,f248,f851]) ).
fof(f855,definition,
( spl0_142
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f856,plain,
( c2_1(a10)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f857,plain,
( spl0_142
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f176,f248,f855]) ).
fof(f860,definition,
( spl0_143
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f861,plain,
( ~ c2_1(a9)
| spl0_143 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f863,plain,
( ~ spl0_143
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f178,f235,f860]) ).
fof(f865,definition,
( spl0_144
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f866,plain,
( ~ c1_1(a9)
| spl0_144 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f867,plain,
( ~ spl0_144
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f179,f235,f865]) ).
fof(f869,definition,
( spl0_145
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f871,plain,
( ~ spl0_145
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f180,f235,f869]) ).
fof(f872,plain,
( spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f181,f235,f280]) ).
fof(f888,definition,
( spl0_149
<=> c2_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f889,plain,
( ~ c2_1(a6)
| spl0_149 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f891,plain,
( ~ spl0_149
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f186,f258,f888]) ).
fof(f893,definition,
( spl0_150
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f895,plain,
( spl0_150
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f187,f258,f893]) ).
fof(f897,definition,
( spl0_151
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f899,plain,
( spl0_151
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f188,f258,f897]) ).
fof(f902,definition,
( spl0_152
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f905,plain,
( ~ spl0_152
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f190,f265,f902]) ).
fof(f907,definition,
( spl0_153
<=> c0_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f909,plain,
( ~ spl0_153
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f191,f265,f907]) ).
fof(f911,definition,
( spl0_154
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f912,plain,
( c2_1(a5)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f913,plain,
( spl0_154
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f192,f265,f911]) ).
fof(f930,definition,
( spl0_158
<=> c2_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f931,plain,
( ~ c2_1(a1)
| spl0_158 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f933,plain,
( ~ spl0_158
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f198,f320,f930]) ).
fof(f935,definition,
( spl0_159
<=> c1_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f936,plain,
( ~ c1_1(a1)
| spl0_159 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f937,plain,
( ~ spl0_159
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f199,f320,f935]) ).
fof(f939,definition,
( spl0_160
<=> c0_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f941,plain,
( spl0_160
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f200,f320,f939]) ).
fof(f943,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_19
| ~ spl0_29 ),
inference(resolution,[],[f337,f298]) ).
fof(f949,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_19
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f943]) ).
fof(f958,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_19
| ~ spl0_33 ),
inference(resolution,[],[f352,f298]) ).
fof(f964,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_19
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f958]) ).
fof(f981,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_22
| ~ spl0_38 ),
inference(resolution,[],[f372,f309]) ).
fof(f987,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_22
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f990,definition,
( spl0_162
<=> c0_1(a65) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1017,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl0_19
| ~ spl0_43 ),
inference(resolution,[],[f393,f298]) ).
fof(f1022,plain,
( ! [X0] :
( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) )
| ~ spl0_19
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f1017]) ).
fof(f1057,plain,
( ~ c3_1(a52)
| c0_1(a52)
| ~ spl0_56
| spl0_86 ),
inference(resolution,[],[f449,f595]) ).
fof(f1058,plain,
( ~ c3_1(a65)
| c0_1(a65)
| ~ spl0_56
| spl0_77 ),
inference(resolution,[],[f449,f553]) ).
fof(f1070,plain,
( ~ c0_1(a20)
| ~ spl0_22
| ~ spl0_38
| ~ spl0_68 ),
inference(resolution,[],[f511,f987]) ).
fof(f1079,definition,
( spl0_164
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1080,plain,
( ~ c1_1(a20)
| spl0_164 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1098,plain,
( spl0_38
| ~ spl0_19
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1022,f392,f297,f371]) ).
fof(f1110,definition,
( spl0_165
<=> c1_1(a32) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1120,definition,
( spl0_166
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1147,definition,
( spl0_167
<=> c1_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1169,definition,
( spl0_169
<=> c0_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
fof(f1175,definition,
( spl0_170
<=> c0_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1183,definition,
( spl0_171
<=> c1_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1184,plain,
( c1_1(a21)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1190,definition,
( spl0_172
<=> c1_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1191,plain,
( c1_1(a6)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1200,plain,
( ~ c3_1(a20)
| ~ c0_1(a20)
| ~ spl0_19
| ~ spl0_69 ),
inference(resolution,[],[f298,f516]) ).
fof(f1208,plain,
( ~ c0_1(a32)
| ~ c1_1(a32)
| ~ spl0_27
| ~ spl0_108 ),
inference(resolution,[],[f329,f698]) ).
fof(f1211,plain,
( ~ c0_1(a2)
| ~ c1_1(a2)
| ~ spl0_27
| ~ spl0_74 ),
inference(resolution,[],[f329,f539]) ).
fof(f1215,plain,
( ~ spl0_75
| ~ spl0_76
| ~ spl0_27
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1211,f538,f328,f547,f543]) ).
fof(f1217,definition,
( spl0_173
<=> c0_1(a33) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1221,plain,
( ~ spl0_165
| ~ spl0_109
| ~ spl0_27
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1208,f697,f328,f701,f1110]) ).
fof(f1225,plain,
( ~ c3_1(a30)
| c1_1(a30)
| ~ spl0_36
| ~ spl0_112 ),
inference(resolution,[],[f365,f716]) ).
fof(f1237,definition,
( spl0_174
<=> c0_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f1246,definition,
( spl0_175
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
fof(f1255,plain,
( ~ c3_1(a54)
| ~ c0_1(a54)
| ~ spl0_38
| spl0_83 ),
inference(resolution,[],[f372,f581]) ).
fof(f1257,plain,
( ~ c3_1(a65)
| ~ c0_1(a65)
| ~ spl0_38
| spl0_78 ),
inference(resolution,[],[f372,f558]) ).
fof(f1261,plain,
( ~ spl0_85
| ~ spl0_84
| ~ spl0_38
| spl0_83 ),
inference(avatar_split_clause,[],[f1255,f580,f371,f585,f589]) ).
fof(f1287,definition,
( spl0_176
<=> c3_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f1409,definition,
( spl0_178
<=> c1_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f1475,definition,
( spl0_179
<=> c0_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f1547,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f949,f336,f297,f308]) ).
fof(f1556,plain,
( spl0_22
| ~ spl0_19
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f964,f351,f297,f308]) ).
fof(f1558,plain,
( spl0_162
| ~ spl0_79
| ~ spl0_56
| spl0_77 ),
inference(avatar_split_clause,[],[f1058,f552,f448,f561,f990]) ).
fof(f1580,definition,
( spl0_182
<=> c1_1(a40) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
fof(f1600,plain,
( ~ c3_1(a24)
| ~ c1_1(a24)
| ~ spl0_29
| spl0_122 ),
inference(resolution,[],[f337,f763]) ).
fof(f1611,plain,
( ~ spl0_124
| ~ spl0_123
| ~ spl0_29
| spl0_122 ),
inference(avatar_split_clause,[],[f1600,f762,f336,f767,f771]) ).
fof(f1618,plain,
( ~ c1_1(a6)
| ~ c0_1(a6)
| ~ spl0_33
| spl0_149 ),
inference(resolution,[],[f352,f889]) ).
fof(f1621,plain,
( ~ c1_1(a21)
| ~ c0_1(a21)
| ~ spl0_33
| spl0_126 ),
inference(resolution,[],[f352,f782]) ).
fof(f1622,plain,
( ~ c1_1(a24)
| ~ c0_1(a24)
| ~ spl0_33
| spl0_122 ),
inference(resolution,[],[f352,f763]) ).
fof(f1633,plain,
( ~ spl0_170
| ~ spl0_124
| ~ spl0_33
| spl0_122 ),
inference(avatar_split_clause,[],[f1622,f762,f351,f771,f1175]) ).
fof(f1634,plain,
( ~ spl0_127
| ~ spl0_171
| ~ spl0_33
| spl0_126 ),
inference(avatar_split_clause,[],[f1621,f781,f351,f1183,f785]) ).
fof(f1635,plain,
( ~ spl0_151
| ~ spl0_172
| ~ spl0_33
| spl0_149 ),
inference(avatar_split_clause,[],[f1618,f888,f351,f1190,f897]) ).
fof(f1642,plain,
( ~ c0_1(a42)
| c3_1(a42)
| ~ spl0_40
| spl0_90 ),
inference(resolution,[],[f382,f614]) ).
fof(f1652,plain,
( spl0_89
| ~ spl0_91
| ~ spl0_40
| spl0_90 ),
inference(avatar_split_clause,[],[f1642,f613,f381,f617,f608]) ).
fof(f1656,plain,
( ~ spl0_162
| ~ spl0_79
| ~ spl0_38
| spl0_78 ),
inference(avatar_split_clause,[],[f1257,f557,f371,f561,f990]) ).
fof(f1676,plain,
( ~ c3_1(a30)
| ~ c0_1(a30)
| ~ spl0_38
| spl0_110 ),
inference(resolution,[],[f372,f707]) ).
fof(f1680,plain,
( ~ spl0_169
| ~ spl0_111
| ~ spl0_38
| spl0_110 ),
inference(avatar_split_clause,[],[f1676,f706,f371,f711,f1169]) ).
fof(f1801,plain,
( c0_1(a13)
| c3_1(a13)
| ~ spl0_55
| ~ spl0_136 ),
inference(resolution,[],[f444,f828]) ).
fof(f1802,plain,
( c0_1(a33)
| c3_1(a33)
| ~ spl0_55
| ~ spl0_106 ),
inference(resolution,[],[f444,f688]) ).
fof(f1803,plain,
( c0_1(a35)
| c3_1(a35)
| ~ spl0_55
| ~ spl0_103 ),
inference(resolution,[],[f444,f674]) ).
fof(f1811,plain,
( spl0_101
| spl0_102
| ~ spl0_55
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1803,f673,f443,f669,f664]) ).
fof(f1834,plain,
( ~ spl0_70
| ~ spl0_22
| ~ spl0_38
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f1070,f510,f371,f308,f519]) ).
fof(f1845,plain,
( spl0_110
| ~ spl0_111
| ~ spl0_36
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1225,f715,f364,f711,f706]) ).
fof(f1880,plain,
( c0_1(a29)
| c3_1(a29)
| ~ spl0_55
| ~ spl0_115 ),
inference(resolution,[],[f730,f444]) ).
fof(f1908,plain,
( ~ c3_1(a2)
| ~ c0_1(a2)
| ~ spl0_19
| ~ spl0_74 ),
inference(resolution,[],[f298,f539]) ).
fof(f1940,plain,
( c3_1(a15)
| c1_1(a15)
| ~ spl0_46
| spl0_132 ),
inference(resolution,[],[f404,f810]) ).
fof(f1942,plain,
( c3_1(a21)
| c1_1(a21)
| ~ spl0_46
| spl0_126 ),
inference(resolution,[],[f404,f782]) ).
fof(f1953,plain,
( spl0_171
| spl0_125
| ~ spl0_46
| spl0_126 ),
inference(avatar_split_clause,[],[f1942,f781,f403,f776,f1183]) ).
fof(f1995,plain,
( ~ c0_1(a6)
| c1_1(a6)
| ~ spl0_43
| spl0_149 ),
inference(resolution,[],[f393,f889]) ).
fof(f1999,plain,
( ~ c0_1(a21)
| c1_1(a21)
| ~ spl0_43
| spl0_126 ),
inference(resolution,[],[f393,f782]) ).
fof(f2008,plain,
( spl0_171
| ~ spl0_127
| ~ spl0_43
| spl0_126 ),
inference(avatar_split_clause,[],[f1999,f781,f392,f785,f1183]) ).
fof(f2015,plain,
( c0_1(a28)
| ~ c1_1(a28)
| ~ spl0_53
| ~ spl0_118 ),
inference(resolution,[],[f430,f744]) ).
fof(f2019,plain,
( c0_1(a39)
| ~ c1_1(a39)
| ~ spl0_53
| ~ spl0_97 ),
inference(resolution,[],[f430,f646]) ).
fof(f2029,plain,
( c0_1(a39)
| c3_1(a39)
| ~ spl0_54
| ~ spl0_97 ),
inference(resolution,[],[f436,f646]) ).
fof(f2035,plain,
( ~ c3_1(a6)
| ~ c0_1(a6)
| ~ spl0_22
| ~ spl0_172 ),
inference(resolution,[],[f1191,f309]) ).
fof(f2037,plain,
( ~ spl0_151
| ~ spl0_150
| ~ spl0_22
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f2035,f1190,f308,f893,f897]) ).
fof(f2052,plain,
( ~ c3_1(a13)
| ~ c1_1(a13)
| ~ spl0_15
| ~ spl0_135 ),
inference(resolution,[],[f824,f284]) ).
fof(f2055,plain,
( c0_1(a13)
| ~ c1_1(a13)
| ~ spl0_53
| ~ spl0_135 ),
inference(resolution,[],[f824,f430]) ).
fof(f2056,plain,
( c0_1(a13)
| c3_1(a13)
| ~ spl0_54
| ~ spl0_135 ),
inference(resolution,[],[f824,f436]) ).
fof(f2057,plain,
( spl0_175
| spl0_134
| ~ spl0_54
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2056,f823,f435,f818,f1246]) ).
fof(f2058,plain,
( ~ spl0_136
| spl0_134
| ~ spl0_53
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2055,f823,f429,f818,f827]) ).
fof(f2060,plain,
( ~ spl0_136
| ~ spl0_175
| ~ spl0_15
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2052,f823,f283,f1246,f827]) ).
fof(f2071,plain,
( spl0_87
| ~ spl0_88
| ~ spl0_56
| spl0_86 ),
inference(avatar_split_clause,[],[f1057,f594,f448,f603,f599]) ).
fof(f2076,plain,
( ~ c3_1(a13)
| c0_1(a13)
| ~ spl0_52
| ~ spl0_136 ),
inference(resolution,[],[f828,f426]) ).
fof(f2077,plain,
( spl0_134
| ~ spl0_175
| ~ spl0_52
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2076,f827,f425,f1246,f818]) ).
fof(f2081,definition,
( spl0_183
<=> c3_1(a1) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f2090,plain,
( ~ c0_1(a21)
| c3_1(a21)
| ~ spl0_35
| spl0_126 ),
inference(resolution,[],[f361,f782]) ).
fof(f2092,plain,
( ~ c0_1(a29)
| c3_1(a29)
| ~ spl0_35
| spl0_114 ),
inference(resolution,[],[f361,f726]) ).
fof(f2098,plain,
( spl0_113
| ~ spl0_174
| ~ spl0_35
| spl0_114 ),
inference(avatar_split_clause,[],[f2092,f725,f360,f1237,f720]) ).
fof(f2099,plain,
( spl0_125
| ~ spl0_127
| ~ spl0_35
| spl0_126 ),
inference(avatar_split_clause,[],[f2090,f781,f360,f785,f776]) ).
fof(f2111,plain,
( ~ c0_1(a10)
| c3_1(a10)
| ~ spl0_40
| spl0_141 ),
inference(resolution,[],[f382,f852]) ).
fof(f2117,plain,
( spl0_140
| ~ spl0_179
| ~ spl0_40
| spl0_141 ),
inference(avatar_split_clause,[],[f2111,f851,f381,f1475,f846]) ).
fof(f2126,plain,
( c1_1(a32)
| ~ c0_1(a32)
| ~ spl0_47
| ~ spl0_108 ),
inference(resolution,[],[f409,f698]) ).
fof(f2133,plain,
( ~ spl0_109
| spl0_165
| ~ spl0_47
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f2126,f697,f408,f1110,f701]) ).
fof(f2137,plain,
( ~ c3_1(a9)
| c0_1(a9)
| ~ spl0_56
| spl0_143 ),
inference(resolution,[],[f449,f861]) ).
fof(f2141,plain,
( ~ c3_1(a24)
| c0_1(a24)
| ~ spl0_56
| spl0_122 ),
inference(resolution,[],[f449,f763]) ).
fof(f2146,plain,
( spl0_170
| ~ spl0_123
| ~ spl0_56
| spl0_122 ),
inference(avatar_split_clause,[],[f2141,f762,f448,f767,f1175]) ).
fof(f2149,plain,
( spl0_145
| ~ spl0_176
| ~ spl0_56
| spl0_143 ),
inference(avatar_split_clause,[],[f2137,f860,f448,f1287,f869]) ).
fof(f2156,plain,
( ~ c1_1(a17)
| c0_1(a17)
| ~ spl0_58
| spl0_128 ),
inference(resolution,[],[f461,f791]) ).
fof(f2158,plain,
( ~ c1_1(a24)
| c0_1(a24)
| ~ spl0_58
| spl0_122 ),
inference(resolution,[],[f461,f763]) ).
fof(f2159,plain,
( ~ c1_1(a29)
| c0_1(a29)
| ~ spl0_58
| spl0_114 ),
inference(resolution,[],[f461,f726]) ).
fof(f2161,plain,
( ~ c1_1(a40)
| c0_1(a40)
| ~ spl0_58
| spl0_93 ),
inference(resolution,[],[f461,f628]) ).
fof(f2187,plain,
( c3_1(a12)
| ~ c0_1(a12)
| ~ spl0_45
| ~ spl0_138 ),
inference(resolution,[],[f401,f838]) ).
fof(f2190,plain,
( c3_1(a21)
| ~ c0_1(a21)
| ~ spl0_45
| ~ spl0_171 ),
inference(resolution,[],[f401,f1184]) ).
fof(f2192,plain,
( c3_1(a29)
| ~ c0_1(a29)
| ~ spl0_45
| ~ spl0_115 ),
inference(resolution,[],[f401,f730]) ).
fof(f2193,plain,
( c3_1(a33)
| ~ c0_1(a33)
| ~ spl0_45
| ~ spl0_106 ),
inference(resolution,[],[f401,f688]) ).
fof(f2197,plain,
( c3_1(a2)
| ~ c0_1(a2)
| ~ spl0_45
| ~ spl0_75 ),
inference(resolution,[],[f401,f544]) ).
fof(f2203,plain,
( ~ spl0_76
| spl0_166
| ~ spl0_45
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2197,f543,f400,f1120,f547]) ).
fof(f2205,plain,
( ~ spl0_173
| spl0_104
| ~ spl0_45
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f2193,f687,f400,f678,f1217]) ).
fof(f2206,plain,
( ~ spl0_174
| spl0_113
| ~ spl0_45
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2192,f729,f400,f720,f1237]) ).
fof(f2207,plain,
( ~ spl0_127
| spl0_125
| ~ spl0_45
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2190,f1183,f400,f776,f785]) ).
fof(f2208,plain,
( ~ spl0_139
| spl0_137
| ~ spl0_45
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2187,f837,f400,f832,f841]) ).
fof(f2229,plain,
( ~ c3_1(a9)
| c0_1(a9)
| ~ spl0_60
| spl0_144 ),
inference(resolution,[],[f474,f866]) ).
fof(f2242,plain,
( spl0_145
| ~ spl0_176
| ~ spl0_60
| spl0_144 ),
inference(avatar_split_clause,[],[f2229,f865,f473,f1287,f869]) ).
fof(f2246,plain,
( c0_1(a5)
| c1_1(a5)
| ~ spl0_61
| ~ spl0_154 ),
inference(resolution,[],[f478,f912]) ).
fof(f2247,plain,
( c0_1(a10)
| c1_1(a10)
| ~ spl0_61
| ~ spl0_142 ),
inference(resolution,[],[f478,f856]) ).
fof(f2249,plain,
( c0_1(a28)
| c1_1(a28)
| ~ spl0_61
| ~ spl0_118 ),
inference(resolution,[],[f478,f744]) ).
fof(f2250,plain,
( c0_1(a30)
| c1_1(a30)
| ~ spl0_61
| ~ spl0_112 ),
inference(resolution,[],[f478,f716]) ).
fof(f2253,plain,
( c0_1(a39)
| c1_1(a39)
| ~ spl0_61
| ~ spl0_97 ),
inference(resolution,[],[f478,f646]) ).
fof(f2257,plain,
( spl0_167
| spl0_96
| ~ spl0_61
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2253,f645,f477,f641,f1147]) ).
fof(f2258,plain,
( spl0_110
| spl0_169
| ~ spl0_61
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2250,f715,f477,f1169,f706]) ).
fof(f2259,plain,
( spl0_178
| spl0_116
| ~ spl0_61
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2249,f743,f477,f734,f1409]) ).
fof(f2260,plain,
( spl0_141
| spl0_179
| ~ spl0_61
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2247,f855,f477,f1475,f851]) ).
fof(f2261,plain,
( spl0_152
| spl0_153
| ~ spl0_61
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f2246,f911,f477,f907,f902]) ).
fof(f2272,plain,
( ~ spl0_70
| ~ spl0_68
| ~ spl0_19
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1200,f515,f297,f510,f519]) ).
fof(f2274,plain,
( ~ spl0_76
| ~ spl0_166
| ~ spl0_19
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1908,f538,f297,f1120,f547]) ).
fof(f2287,plain,
( spl0_172
| ~ spl0_151
| ~ spl0_43
| spl0_149 ),
inference(avatar_split_clause,[],[f1995,f888,f392,f897,f1190]) ).
fof(f2292,plain,
( spl0_133
| spl0_131
| ~ spl0_46
| spl0_132 ),
inference(avatar_split_clause,[],[f1940,f809,f403,f804,f813]) ).
fof(f2295,plain,
( ~ spl0_178
| spl0_116
| ~ spl0_53
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2015,f743,f429,f734,f1409]) ).
fof(f2297,plain,
( ~ spl0_167
| spl0_96
| ~ spl0_53
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2019,f645,f429,f641,f1147]) ).
fof(f2300,plain,
( spl0_95
| spl0_96
| ~ spl0_54
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2029,f645,f435,f641,f636]) ).
fof(f2303,plain,
( spl0_175
| spl0_134
| ~ spl0_55
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1801,f827,f443,f818,f1246]) ).
fof(f2304,plain,
( spl0_104
| spl0_173
| ~ spl0_55
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1802,f687,f443,f1217,f678]) ).
fof(f2307,plain,
( spl0_113
| spl0_174
| ~ spl0_55
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1880,f729,f443,f1237,f720]) ).
fof(f2310,plain,
( spl0_94
| ~ spl0_182
| ~ spl0_58
| spl0_93 ),
inference(avatar_split_clause,[],[f2161,f627,f460,f1580,f631]) ).
fof(f2312,plain,
( spl0_129
| ~ spl0_130
| ~ spl0_58
| spl0_128 ),
inference(avatar_split_clause,[],[f2156,f790,f460,f799,f795]) ).
fof(f2314,plain,
( spl0_170
| ~ spl0_124
| ~ spl0_58
| spl0_122 ),
inference(avatar_split_clause,[],[f2158,f762,f460,f771,f1175]) ).
fof(f2315,plain,
( spl0_174
| ~ spl0_115
| ~ spl0_58
| spl0_114 ),
inference(avatar_split_clause,[],[f2159,f725,f460,f729,f1237]) ).
fof(f2330,plain,
( ~ c3_1(a28)
| ~ c1_1(a28)
| ~ spl0_15
| ~ spl0_118 ),
inference(resolution,[],[f284,f744]) ).
fof(f2336,plain,
( ~ c3_1(a8)
| ~ c1_1(a8)
| ~ spl0_15
| ~ spl0_72 ),
inference(resolution,[],[f284,f530]) ).
fof(f2337,plain,
( ~ c3_1(a20)
| ~ c1_1(a20)
| ~ spl0_15
| ~ spl0_69 ),
inference(resolution,[],[f284,f516]) ).
fof(f2338,plain,
( ~ spl0_164
| ~ spl0_68
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2337,f515,f283,f510,f1079]) ).
fof(f2339,plain,
( ~ spl0_73
| ~ spl0_71
| ~ spl0_15
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2336,f529,f283,f524,f533]) ).
fof(f2341,plain,
( ~ spl0_178
| ~ spl0_117
| ~ spl0_15
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2330,f743,f283,f739,f1409]) ).
fof(f2365,plain,
( ~ c3_1(a1)
| ~ c0_1(a1)
| ~ spl0_38
| spl0_159 ),
inference(resolution,[],[f936,f372]) ).
fof(f2366,plain,
( ~ spl0_160
| ~ spl0_183
| ~ spl0_38
| spl0_159 ),
inference(avatar_split_clause,[],[f2365,f935,f371,f2081,f939]) ).
fof(f2367,plain,
( ~ c3_1(a20)
| ~ c0_1(a20)
| ~ spl0_38
| spl0_164 ),
inference(resolution,[],[f1080,f372]) ).
fof(f2368,plain,
( ~ spl0_70
| ~ spl0_68
| ~ spl0_38
| spl0_164 ),
inference(avatar_split_clause,[],[f2367,f1079,f371,f510,f519]) ).
fof(f2376,plain,
( ~ c3_1(a24)
| ~ c0_1(a24)
| ~ spl0_22
| ~ spl0_124 ),
inference(resolution,[],[f309,f772]) ).
fof(f2381,plain,
( ~ c3_1(a2)
| ~ c0_1(a2)
| ~ spl0_22
| ~ spl0_75 ),
inference(resolution,[],[f309,f544]) ).
fof(f2382,plain,
( ~ c3_1(a76)
| ~ c0_1(a76)
| ~ spl0_22
| ~ spl0_66 ),
inference(resolution,[],[f309,f501]) ).
fof(f2384,plain,
( ~ spl0_67
| ~ spl0_65
| ~ spl0_22
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f2382,f500,f308,f495,f504]) ).
fof(f2385,plain,
( ~ spl0_76
| ~ spl0_166
| ~ spl0_22
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2381,f543,f308,f1120,f547]) ).
fof(f2387,plain,
( ~ spl0_170
| ~ spl0_123
| ~ spl0_22
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2376,f771,f308,f767,f1175]) ).
fof(f2390,plain,
( c1_1(a10)
| c3_1(a10)
| ~ spl0_39
| ~ spl0_142 ),
inference(resolution,[],[f377,f856]) ).
fof(f2401,plain,
( spl0_140
| spl0_141
| ~ spl0_39
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2390,f855,f376,f851,f846]) ).
fof(f2405,plain,
( c3_1(a1)
| c1_1(a1)
| ~ spl0_46
| spl0_158 ),
inference(resolution,[],[f404,f931]) ).
fof(f2407,plain,
( c3_1(a9)
| c1_1(a9)
| ~ spl0_46
| spl0_143 ),
inference(resolution,[],[f404,f861]) ).
fof(f2414,plain,
( c3_1(a40)
| c1_1(a40)
| ~ spl0_46
| spl0_93 ),
inference(resolution,[],[f404,f628]) ).
fof(f2418,plain,
( spl0_182
| spl0_92
| ~ spl0_46
| spl0_93 ),
inference(avatar_split_clause,[],[f2414,f627,f403,f622,f1580]) ).
fof(f2419,plain,
( spl0_144
| spl0_176
| ~ spl0_46
| spl0_143 ),
inference(avatar_split_clause,[],[f2407,f860,f403,f1287,f865]) ).
fof(f2421,plain,
( spl0_159
| spl0_183
| ~ spl0_46
| spl0_158 ),
inference(avatar_split_clause,[],[f2405,f930,f403,f2081,f935]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f243]) ).
cnf(s2,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f253]) ).
cnf(s6,plain,
( spl0_2
| spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f278]) ).
cnf(s7,plain,
( spl0_6
| spl0_10
| ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f285]) ).
cnf(s8,plain,
( ~ spl0_14
| spl0_15
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f292]) ).
cnf(s10,plain,
( spl0_13
| ~ spl0_14
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f303]) ).
cnf(s11,plain,
( spl0_2
| ~ spl0_14
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f310]) ).
cnf(s13,plain,
( ~ spl0_14
| spl0_22
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f318]) ).
cnf(s15,plain,
( spl0_3
| ~ spl0_14
| spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f323]) ).
cnf(s16,plain,
( spl0_4
| ~ spl0_14
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f330]) ).
cnf(s18,plain,
( ~ spl0_14
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f338]) ).
cnf(s19,plain,
( spl0_12
| ~ spl0_14
| spl0_20
| spl0_29 ),
inference(sat_conversion,[],[f339]) ).
cnf(s25,plain,
( ~ spl0_14
| spl0_18
| spl0_33
| spl0_36 ),
inference(sat_conversion,[],[f366]) ).
cnf(s26,plain,
( spl0_3
| ~ spl0_14
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f373]) ).
cnf(s27,plain,
( ~ spl0_14
| spl0_19
| spl0_22
| spl0_38 ),
inference(sat_conversion,[],[f374]) ).
cnf(s28,plain,
( spl0_8
| ~ spl0_14
| spl0_15
| spl0_39 ),
inference(sat_conversion,[],[f378]) ).
cnf(s30,plain,
( spl0_10
| ~ spl0_14
| spl0_38
| spl0_40 ),
inference(sat_conversion,[],[f383]) ).
cnf(s32,plain,
( spl0_11
| ~ spl0_14
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f394]) ).
cnf(s33,plain,
( ~ spl0_14
| spl0_22
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f398]) ).
cnf(s34,plain,
( spl0_3
| ~ spl0_14
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f405]) ).
cnf(s35,plain,
( ~ spl0_14
| spl0_36
| spl0_37
| spl0_46 ),
inference(sat_conversion,[],[f406]) ).
cnf(s36,plain,
( ~ spl0_14
| spl0_19
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f410]) ).
cnf(s38,plain,
( ~ spl0_14
| spl0_23
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f427]) ).
cnf(s39,plain,
( ~ spl0_14
| spl0_26
| spl0_30
| spl0_53 ),
inference(sat_conversion,[],[f431]) ).
cnf(s41,plain,
( ~ spl0_14
| spl0_40
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f433]) ).
cnf(s42,plain,
( ~ spl0_14
| spl0_18
| spl0_28
| spl0_54 ),
inference(sat_conversion,[],[f437]) ).
cnf(s45,plain,
( ~ spl0_14
| spl0_35
| spl0_45
| spl0_54 ),
inference(sat_conversion,[],[f440]) ).
cnf(s46,plain,
( ~ spl0_14
| spl0_36
| spl0_37
| spl0_54 ),
inference(sat_conversion,[],[f441]) ).
cnf(s47,plain,
( spl0_6
| ~ spl0_14
| spl0_55 ),
inference(sat_conversion,[],[f445]) ).
cnf(s48,plain,
( spl0_11
| ~ spl0_14
| spl0_37
| spl0_55 ),
inference(sat_conversion,[],[f446]) ).
cnf(s49,plain,
( spl0_11
| ~ spl0_14
| spl0_51
| spl0_56 ),
inference(sat_conversion,[],[f450]) ).
cnf(s50,plain,
( spl0_1
| ~ spl0_14
| spl0_22
| spl0_56 ),
inference(sat_conversion,[],[f451]) ).
cnf(s51,plain,
( spl0_1
| ~ spl0_14
| spl0_45
| spl0_56 ),
inference(sat_conversion,[],[f452]) ).
cnf(s52,plain,
( ~ spl0_14
| spl0_40
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f456]) ).
cnf(s53,plain,
( spl0_12
| ~ spl0_14
| spl0_40
| spl0_56 ),
inference(sat_conversion,[],[f457]) ).
cnf(s54,plain,
( ~ spl0_14
| spl0_15
| spl0_53
| spl0_56 ),
inference(sat_conversion,[],[f458]) ).
cnf(s55,plain,
( ~ spl0_14
| spl0_16
| spl0_25
| spl0_58 ),
inference(sat_conversion,[],[f462]) ).
cnf(s59,plain,
( spl0_5
| ~ spl0_14
| spl0_55
| spl0_58 ),
inference(sat_conversion,[],[f466]) ).
cnf(s62,plain,
( spl0_8
| ~ spl0_14
| spl0_33
| spl0_60 ),
inference(sat_conversion,[],[f475]) ).
cnf(s63,plain,
( ~ spl0_14
| spl0_54
| spl0_58
| spl0_61 ),
inference(sat_conversion,[],[f479]) ).
cnf(s69,plain,
( ~ spl0_13
| spl0_65 ),
inference(sat_conversion,[],[f498]) ).
cnf(s70,plain,
( ~ spl0_13
| spl0_66 ),
inference(sat_conversion,[],[f502]) ).
cnf(s71,plain,
( ~ spl0_13
| spl0_67 ),
inference(sat_conversion,[],[f506]) ).
cnf(s73,plain,
( ~ spl0_11
| spl0_68 ),
inference(sat_conversion,[],[f513]) ).
cnf(s74,plain,
( ~ spl0_11
| spl0_69 ),
inference(sat_conversion,[],[f517]) ).
cnf(s75,plain,
( ~ spl0_11
| spl0_70 ),
inference(sat_conversion,[],[f521]) ).
cnf(s77,plain,
( ~ spl0_24
| spl0_71 ),
inference(sat_conversion,[],[f527]) ).
cnf(s78,plain,
( ~ spl0_24
| spl0_72 ),
inference(sat_conversion,[],[f531]) ).
cnf(s79,plain,
( ~ spl0_24
| spl0_73 ),
inference(sat_conversion,[],[f535]) ).
cnf(s81,plain,
( ~ spl0_20
| spl0_74 ),
inference(sat_conversion,[],[f541]) ).
cnf(s82,plain,
( ~ spl0_20
| spl0_75 ),
inference(sat_conversion,[],[f545]) ).
cnf(s83,plain,
( ~ spl0_20
| spl0_76 ),
inference(sat_conversion,[],[f549]) ).
cnf(s85,plain,
( ~ spl0_4
| ~ spl0_77 ),
inference(sat_conversion,[],[f555]) ).
cnf(s86,plain,
( ~ spl0_4
| ~ spl0_78 ),
inference(sat_conversion,[],[f559]) ).
cnf(s87,plain,
( ~ spl0_4
| spl0_79 ),
inference(sat_conversion,[],[f563]) ).
cnf(s93,plain,
( ~ spl0_17
| ~ spl0_83 ),
inference(sat_conversion,[],[f583]) ).
cnf(s94,plain,
( ~ spl0_17
| spl0_84 ),
inference(sat_conversion,[],[f587]) ).
cnf(s95,plain,
( ~ spl0_17
| spl0_85 ),
inference(sat_conversion,[],[f591]) ).
cnf(s97,plain,
( ~ spl0_2
| ~ spl0_86 ),
inference(sat_conversion,[],[f597]) ).
cnf(s98,plain,
( ~ spl0_2
| ~ spl0_87 ),
inference(sat_conversion,[],[f601]) ).
cnf(s99,plain,
( ~ spl0_2
| spl0_88 ),
inference(sat_conversion,[],[f605]) ).
cnf(s100,plain,
( ~ spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f606]) ).
cnf(s101,plain,
( ~ spl0_42
| ~ spl0_89 ),
inference(sat_conversion,[],[f611]) ).
cnf(s102,plain,
( ~ spl0_42
| ~ spl0_90 ),
inference(sat_conversion,[],[f615]) ).
cnf(s103,plain,
( ~ spl0_42
| spl0_91 ),
inference(sat_conversion,[],[f619]) ).
cnf(s105,plain,
( ~ spl0_44
| ~ spl0_92 ),
inference(sat_conversion,[],[f625]) ).
cnf(s106,plain,
( ~ spl0_44
| ~ spl0_93 ),
inference(sat_conversion,[],[f629]) ).
cnf(s107,plain,
( ~ spl0_44
| ~ spl0_94 ),
inference(sat_conversion,[],[f633]) ).
cnf(s109,plain,
( ~ spl0_3
| ~ spl0_95 ),
inference(sat_conversion,[],[f639]) ).
cnf(s110,plain,
( ~ spl0_3
| ~ spl0_96 ),
inference(sat_conversion,[],[f643]) ).
cnf(s111,plain,
( ~ spl0_3
| spl0_97 ),
inference(sat_conversion,[],[f647]) ).
cnf(s112,plain,
( ~ spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f648]) ).
cnf(s117,plain,
( ~ spl0_23
| ~ spl0_101 ),
inference(sat_conversion,[],[f667]) ).
cnf(s118,plain,
( ~ spl0_23
| ~ spl0_102 ),
inference(sat_conversion,[],[f671]) ).
cnf(s119,plain,
( ~ spl0_23
| spl0_103 ),
inference(sat_conversion,[],[f675]) ).
cnf(s121,plain,
( ~ spl0_26
| ~ spl0_104 ),
inference(sat_conversion,[],[f681]) ).
cnf(s123,plain,
( ~ spl0_26
| spl0_106 ),
inference(sat_conversion,[],[f689]) ).
cnf(s126,plain,
( ~ spl0_30
| spl0_108 ),
inference(sat_conversion,[],[f699]) ).
cnf(s127,plain,
( ~ spl0_30
| spl0_109 ),
inference(sat_conversion,[],[f703]) ).
cnf(s129,plain,
( ~ spl0_28
| ~ spl0_110 ),
inference(sat_conversion,[],[f709]) ).
cnf(s130,plain,
( ~ spl0_28
| spl0_111 ),
inference(sat_conversion,[],[f713]) ).
cnf(s131,plain,
( ~ spl0_28
| spl0_112 ),
inference(sat_conversion,[],[f717]) ).
cnf(s133,plain,
( ~ spl0_18
| ~ spl0_113 ),
inference(sat_conversion,[],[f723]) ).
cnf(s134,plain,
( ~ spl0_18
| ~ spl0_114 ),
inference(sat_conversion,[],[f727]) ).
cnf(s135,plain,
( ~ spl0_18
| spl0_115 ),
inference(sat_conversion,[],[f731]) ).
cnf(s137,plain,
( ~ spl0_21
| ~ spl0_116 ),
inference(sat_conversion,[],[f737]) ).
cnf(s138,plain,
( ~ spl0_21
| spl0_117 ),
inference(sat_conversion,[],[f741]) ).
cnf(s139,plain,
( ~ spl0_21
| spl0_118 ),
inference(sat_conversion,[],[f745]) ).
cnf(s145,plain,
( ~ spl0_6
| ~ spl0_122 ),
inference(sat_conversion,[],[f765]) ).
cnf(s146,plain,
( ~ spl0_6
| spl0_123 ),
inference(sat_conversion,[],[f769]) ).
cnf(s147,plain,
( ~ spl0_6
| spl0_124 ),
inference(sat_conversion,[],[f773]) ).
cnf(s149,plain,
( ~ spl0_51
| ~ spl0_125 ),
inference(sat_conversion,[],[f779]) ).
cnf(s150,plain,
( ~ spl0_51
| ~ spl0_126 ),
inference(sat_conversion,[],[f783]) ).
cnf(s151,plain,
( ~ spl0_51
| spl0_127 ),
inference(sat_conversion,[],[f787]) ).
cnf(s153,plain,
( ~ spl0_57
| ~ spl0_128 ),
inference(sat_conversion,[],[f793]) ).
cnf(s154,plain,
( ~ spl0_57
| ~ spl0_129 ),
inference(sat_conversion,[],[f797]) ).
cnf(s155,plain,
( ~ spl0_57
| spl0_130 ),
inference(sat_conversion,[],[f801]) ).
cnf(s157,plain,
( ~ spl0_16
| ~ spl0_131 ),
inference(sat_conversion,[],[f807]) ).
cnf(s158,plain,
( ~ spl0_16
| ~ spl0_132 ),
inference(sat_conversion,[],[f811]) ).
cnf(s159,plain,
( ~ spl0_16
| ~ spl0_133 ),
inference(sat_conversion,[],[f815]) ).
cnf(s161,plain,
( ~ spl0_37
| ~ spl0_134 ),
inference(sat_conversion,[],[f821]) ).
cnf(s162,plain,
( ~ spl0_37
| spl0_135 ),
inference(sat_conversion,[],[f825]) ).
cnf(s163,plain,
( ~ spl0_37
| spl0_136 ),
inference(sat_conversion,[],[f829]) ).
cnf(s165,plain,
( ~ spl0_12
| ~ spl0_137 ),
inference(sat_conversion,[],[f835]) ).
cnf(s166,plain,
( ~ spl0_12
| spl0_138 ),
inference(sat_conversion,[],[f839]) ).
cnf(s167,plain,
( ~ spl0_12
| spl0_139 ),
inference(sat_conversion,[],[f843]) ).
cnf(s169,plain,
( ~ spl0_5
| ~ spl0_140 ),
inference(sat_conversion,[],[f849]) ).
cnf(s170,plain,
( ~ spl0_5
| ~ spl0_141 ),
inference(sat_conversion,[],[f853]) ).
cnf(s171,plain,
( ~ spl0_5
| spl0_142 ),
inference(sat_conversion,[],[f857]) ).
cnf(s173,plain,
( ~ spl0_1
| ~ spl0_143 ),
inference(sat_conversion,[],[f863]) ).
cnf(s174,plain,
( ~ spl0_1
| ~ spl0_144 ),
inference(sat_conversion,[],[f867]) ).
cnf(s175,plain,
( ~ spl0_1
| ~ spl0_145 ),
inference(sat_conversion,[],[f871]) ).
cnf(s176,plain,
( ~ spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f872]) ).
cnf(s181,plain,
( ~ spl0_8
| ~ spl0_149 ),
inference(sat_conversion,[],[f891]) ).
cnf(s182,plain,
( ~ spl0_8
| spl0_150 ),
inference(sat_conversion,[],[f895]) ).
cnf(s183,plain,
( ~ spl0_8
| spl0_151 ),
inference(sat_conversion,[],[f899]) ).
cnf(s185,plain,
( ~ spl0_10
| ~ spl0_152 ),
inference(sat_conversion,[],[f905]) ).
cnf(s186,plain,
( ~ spl0_10
| ~ spl0_153 ),
inference(sat_conversion,[],[f909]) ).
cnf(s187,plain,
( ~ spl0_10
| spl0_154 ),
inference(sat_conversion,[],[f913]) ).
cnf(s193,plain,
( ~ spl0_25
| ~ spl0_158 ),
inference(sat_conversion,[],[f933]) ).
cnf(s194,plain,
( ~ spl0_25
| ~ spl0_159 ),
inference(sat_conversion,[],[f937]) ).
cnf(s195,plain,
( ~ spl0_25
| spl0_160 ),
inference(sat_conversion,[],[f941]) ).
cnf(s210,plain,
( ~ spl0_19
| spl0_38
| ~ spl0_43 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s248,plain,
( ~ spl0_27
| ~ spl0_74
| ~ spl0_75
| ~ spl0_76 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s250,plain,
( ~ spl0_27
| ~ spl0_108
| ~ spl0_109
| ~ spl0_165 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s257,plain,
( ~ spl0_38
| spl0_83
| ~ spl0_84
| ~ spl0_85 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s365,plain,
( ~ spl0_19
| spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s377,plain,
( ~ spl0_19
| spl0_22
| ~ spl0_33 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s379,plain,
( ~ spl0_56
| spl0_77
| ~ spl0_79
| spl0_162 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s395,plain,
( ~ spl0_29
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f1611]) ).
cnf(s400,plain,
( ~ spl0_33
| spl0_122
| ~ spl0_124
| ~ spl0_170 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s401,plain,
( ~ spl0_33
| spl0_126
| ~ spl0_127
| ~ spl0_171 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s402,plain,
( ~ spl0_33
| spl0_149
| ~ spl0_151
| ~ spl0_172 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s405,plain,
( ~ spl0_40
| spl0_89
| spl0_90
| ~ spl0_91 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s409,plain,
( ~ spl0_38
| spl0_78
| ~ spl0_79
| ~ spl0_162 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s419,plain,
( ~ spl0_38
| spl0_110
| ~ spl0_111
| ~ spl0_169 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s451,plain,
( ~ spl0_55
| spl0_101
| spl0_102
| ~ spl0_103 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s466,plain,
( ~ spl0_22
| ~ spl0_38
| ~ spl0_68
| ~ spl0_70 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s477,plain,
( ~ spl0_36
| spl0_110
| ~ spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f1845]) ).
cnf(s527,plain,
( ~ spl0_46
| spl0_125
| spl0_126
| spl0_171 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s540,plain,
( ~ spl0_43
| spl0_126
| ~ spl0_127
| spl0_171 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s546,plain,
( ~ spl0_22
| ~ spl0_150
| ~ spl0_151
| ~ spl0_172 ),
inference(sat_conversion,[],[f2037]) ).
cnf(s557,plain,
( ~ spl0_54
| spl0_134
| ~ spl0_135
| spl0_175 ),
inference(sat_conversion,[],[f2057]) ).
cnf(s558,plain,
( ~ spl0_53
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s560,plain,
( ~ spl0_15
| ~ spl0_135
| ~ spl0_136
| ~ spl0_175 ),
inference(sat_conversion,[],[f2060]) ).
cnf(s571,plain,
( ~ spl0_56
| spl0_86
| spl0_87
| ~ spl0_88 ),
inference(sat_conversion,[],[f2071]) ).
cnf(s575,plain,
( ~ spl0_52
| spl0_134
| ~ spl0_136
| ~ spl0_175 ),
inference(sat_conversion,[],[f2077]) ).
cnf(s578,plain,
( ~ spl0_35
| spl0_113
| spl0_114
| ~ spl0_174 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s579,plain,
( ~ spl0_35
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f2099]) ).
cnf(s585,plain,
( ~ spl0_40
| spl0_140
| spl0_141
| ~ spl0_179 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s589,plain,
( ~ spl0_47
| ~ spl0_108
| ~ spl0_109
| spl0_165 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s590,plain,
( ~ spl0_56
| spl0_122
| ~ spl0_123
| spl0_170 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s592,plain,
( ~ spl0_56
| spl0_143
| spl0_145
| ~ spl0_176 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s613,plain,
( ~ spl0_45
| ~ spl0_75
| ~ spl0_76
| spl0_166 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s615,plain,
( ~ spl0_45
| spl0_104
| ~ spl0_106
| ~ spl0_173 ),
inference(sat_conversion,[],[f2205]) ).
cnf(s616,plain,
( ~ spl0_45
| spl0_113
| ~ spl0_115
| ~ spl0_174 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s617,plain,
( ~ spl0_45
| spl0_125
| ~ spl0_127
| ~ spl0_171 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s618,plain,
( ~ spl0_45
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f2208]) ).
cnf(s628,plain,
( ~ spl0_60
| spl0_144
| spl0_145
| ~ spl0_176 ),
inference(sat_conversion,[],[f2242]) ).
cnf(s630,plain,
( ~ spl0_61
| spl0_96
| ~ spl0_97
| spl0_167 ),
inference(sat_conversion,[],[f2257]) ).
cnf(s631,plain,
( ~ spl0_61
| spl0_110
| ~ spl0_112
| spl0_169 ),
inference(sat_conversion,[],[f2258]) ).
cnf(s632,plain,
( ~ spl0_61
| spl0_116
| ~ spl0_118
| spl0_178 ),
inference(sat_conversion,[],[f2259]) ).
cnf(s633,plain,
( ~ spl0_61
| spl0_141
| ~ spl0_142
| spl0_179 ),
inference(sat_conversion,[],[f2260]) ).
cnf(s634,plain,
( ~ spl0_61
| spl0_152
| spl0_153
| ~ spl0_154 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s645,plain,
( ~ spl0_19
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(sat_conversion,[],[f2272]) ).
cnf(s647,plain,
( ~ spl0_19
| ~ spl0_74
| ~ spl0_76
| ~ spl0_166 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s660,plain,
( ~ spl0_43
| spl0_149
| ~ spl0_151
| spl0_172 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s666,plain,
( ~ spl0_46
| spl0_131
| spl0_132
| spl0_133 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s669,plain,
( ~ spl0_53
| spl0_116
| ~ spl0_118
| ~ spl0_178 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s671,plain,
( ~ spl0_53
| spl0_96
| ~ spl0_97
| ~ spl0_167 ),
inference(sat_conversion,[],[f2297]) ).
cnf(s674,plain,
( ~ spl0_54
| spl0_95
| spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s677,plain,
( ~ spl0_55
| spl0_134
| ~ spl0_136
| spl0_175 ),
inference(sat_conversion,[],[f2303]) ).
cnf(s678,plain,
( ~ spl0_55
| spl0_104
| ~ spl0_106
| spl0_173 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s681,plain,
( ~ spl0_55
| spl0_113
| ~ spl0_115
| spl0_174 ),
inference(sat_conversion,[],[f2307]) ).
cnf(s684,plain,
( ~ spl0_58
| spl0_93
| spl0_94
| ~ spl0_182 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s686,plain,
( ~ spl0_58
| spl0_128
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f2312]) ).
cnf(s688,plain,
( ~ spl0_58
| spl0_122
| ~ spl0_124
| spl0_170 ),
inference(sat_conversion,[],[f2314]) ).
cnf(s689,plain,
( ~ spl0_58
| spl0_114
| ~ spl0_115
| spl0_174 ),
inference(sat_conversion,[],[f2315]) ).
cnf(s701,plain,
( ~ spl0_15
| ~ spl0_68
| ~ spl0_69
| ~ spl0_164 ),
inference(sat_conversion,[],[f2338]) ).
cnf(s702,plain,
( ~ spl0_15
| ~ spl0_71
| ~ spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f2339]) ).
cnf(s704,plain,
( ~ spl0_15
| ~ spl0_117
| ~ spl0_118
| ~ spl0_178 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s728,plain,
( ~ spl0_38
| spl0_159
| ~ spl0_160
| ~ spl0_183 ),
inference(sat_conversion,[],[f2366]) ).
cnf(s729,plain,
( ~ spl0_38
| ~ spl0_68
| ~ spl0_70
| spl0_164 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s730,plain,
( ~ spl0_22
| ~ spl0_65
| ~ spl0_66
| ~ spl0_67 ),
inference(sat_conversion,[],[f2384]) ).
cnf(s731,plain,
( ~ spl0_22
| ~ spl0_75
| ~ spl0_76
| ~ spl0_166 ),
inference(sat_conversion,[],[f2385]) ).
cnf(s733,plain,
( ~ spl0_22
| ~ spl0_123
| ~ spl0_124
| ~ spl0_170 ),
inference(sat_conversion,[],[f2387]) ).
cnf(s737,plain,
( ~ spl0_39
| spl0_140
| spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s739,plain,
( ~ spl0_46
| spl0_92
| spl0_93
| spl0_182 ),
inference(sat_conversion,[],[f2418]) ).
cnf(s740,plain,
( ~ spl0_46
| spl0_143
| spl0_144
| spl0_176 ),
inference(sat_conversion,[],[f2419]) ).
cnf(s741,plain,
( ~ spl0_46
| spl0_158
| spl0_159
| spl0_183 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s744,plain,
( spl0_170
| spl0_134
| ~ spl0_135
| ~ spl0_136
| spl0_122
| ~ spl0_123
| ~ spl0_124
| spl0_5
| ~ spl0_14 ),
inference(rat,[],[s560,s677,s54,s59,s590,s688,s558]) ).
cnf(s745,plain,
( ~ spl0_174
| ~ spl0_18
| ~ spl0_3 ),
inference(rat,[],[s45,s578,s616,s112,s674,s109,s110,s111,s135,s134,s133]) ).
cnf(s746,plain,
( spl0_5
| spl0_4
| ~ spl0_3 ),
inference(rat,[],[s59,s681,s689,s745,s133,s134,s135,s25,s400,s744,s161,s162,s163,s46,s477,s129,s130,s131,s18,s395,s145,s146,s147,s2,s112,s674,s109,s110,s111]) ).
cnf(s747,plain,
( ~ spl0_61
| ~ spl0_28
| ~ spl0_5
| ~ spl0_14 ),
inference(rat,[],[s634,s185,s186,s187,s30,s585,s419,s633,s631,s171,s170,s169,s131,s130,s129]) ).
cnf(s748,plain,
( ~ spl0_124
| spl0_122
| ~ spl0_58
| ~ spl0_33 ),
inference(rat,[],[s688,s400]) ).
cnf(s749,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_55 ),
inference(rat,[],[s615,s678,s121,s123]) ).
cnf(s750,plain,
( spl0_26
| ~ spl0_47
| spl0_53
| spl0_4
| ~ spl0_14 ),
inference(rat,[],[s250,s589,s126,s127,s16,s39]) ).
cnf(s751,plain,
( ~ spl0_17
| ~ spl0_38 ),
inference(rat,[],[s257,s93,s94,s95]) ).
cnf(s752,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(rat,[],[s579,s149,s150,s151]) ).
cnf(s753,plain,
( spl0_6
| ~ spl0_58
| spl0_134
| ~ spl0_135
| ~ spl0_136
| ~ spl0_33
| spl0_39
| spl0_4
| spl0_54
| ~ spl0_14
| spl0_2 ),
inference(rat,[],[s451,s117,s118,s119,s38,s752,s45,s749,s750,s36,s739,s684,s105,s106,s107,s33,s660,s402,s181,s183,s28,s377,s575,s560,s730,s677,s69,s70,s71,s47,s6,s558]) ).
cnf(s754,plain,
( ~ spl0_58
| spl0_134
| spl0_2
| ~ spl0_135
| ~ spl0_136
| ~ spl0_33
| spl0_39
| spl0_4
| spl0_54
| ~ spl0_14 ),
inference(rat,[],[s688,s400,s145,s147,s753]) ).
cnf(s755,plain,
( spl0_18
| ~ spl0_5
| spl0_4
| spl0_54
| ~ spl0_14
| spl0_2 ),
inference(rat,[],[s754,s63,s747,s161,s162,s163,s25,s46,s477,s129,s130,s131,s42,s737,s169,s170,s171]) ).
cnf(s756,plain,
( spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s395,s18,s145,s146,s147,s747,s47,s63,s681,s689,s745,s133,s134,s135,s755,s746,s112,s674,s109,s110,s111]) ).
cnf(s757,plain,
( spl0_22
| ~ spl0_33
| spl0_2
| spl0_1 ),
inference(rat,[],[s409,s379,s27,s377,s50,s112,s87,s86,s85,s756,s1]) ).
cnf(s758,plain,
( ~ spl0_13
| ~ spl0_22 ),
inference(rat,[],[s730,s69,s70,s71]) ).
cnf(s759,plain,
( ~ spl0_33
| ~ spl0_58
| spl0_2
| spl0_1 ),
inference(rat,[],[s748,s145,s147,s6,s758,s757]) ).
cnf(s760,plain,
( ~ spl0_18
| ~ spl0_58
| ~ spl0_3 ),
inference(rat,[],[s689,s745,s134,s135]) ).
cnf(s761,plain,
( ~ spl0_58
| spl0_2
| spl0_1 ),
inference(rat,[],[s477,s129,s130,s131,s25,s42,s760,s759,s112,s674,s109,s110,s111,s1]) ).
cnf(s762,plain,
( ~ spl0_33
| spl0_2
| spl0_1 ),
inference(rat,[],[s744,s161,s162,s163,s46,s477,s747,s129,s130,s131,s18,s395,s400,s145,s146,s147,s6,s758,s757,s63,s761,s112,s674,s109,s110,s111,s1]) ).
cnf(s763,plain,
( ~ spl0_10
| ~ spl0_61 ),
inference(rat,[],[s634,s185,s186,s187]) ).
cnf(s764,plain,
( spl0_6
| ~ spl0_61
| ~ spl0_14
| spl0_2 ),
inference(rat,[],[s632,s704,s137,s138,s139,s11,s758,s7,s6,s763]) ).
cnf(s765,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s681,s745,s133,s135,s25,s59,s477,s747,s129,s130,s131,s18,s395,s145,s146,s147,s764,s762,s63,s761,s674,s109,s110,s111,s112,s1]) ).
cnf(s767,plain,
( ~ spl0_37
| ~ spl0_55
| ~ spl0_15 ),
inference(rat,[],[s677,s560,s161,s162,s163]) ).
cnf(s768,plain,
( ~ spl0_12
| ~ spl0_45 ),
inference(rat,[],[s618,s165,s166,s167]) ).
cnf(s771,plain,
( ~ spl0_37
| ~ spl0_55
| ~ spl0_2 ),
inference(rat,[],[s54,s558,s767,s161,s162,s163,s100,s571,s97,s98,s99]) ).
cnf(s772,plain,
( ~ spl0_28
| ~ spl0_36 ),
inference(rat,[],[s477,s129,s130,s131]) ).
cnf(s776,plain,
( ~ spl0_16
| ~ spl0_46 ),
inference(rat,[],[s666,s157,s158,s159]) ).
cnf(s777,plain,
( ~ spl0_20
| spl0_1 ),
inference(rat,[],[s613,s731,s82,s83,s51,s50,s571,s97,s98,s99,s100,s765]) ).
cnf(s780,plain,
( ~ spl0_11
| ~ spl0_38
| ~ spl0_22 ),
inference(rat,[],[s466,s73,s75]) ).
cnf(s782,plain,
( ~ spl0_37
| ~ spl0_54
| ~ spl0_2 ),
inference(rat,[],[s54,s560,s558,s557,s161,s162,s163,s100,s571,s97,s98,s99]) ).
cnf(s783,plain,
( ~ spl0_42
| ~ spl0_40 ),
inference(rat,[],[s405,s101,s102,s103]) ).
cnf(s784,plain,
( spl0_11
| spl0_1 ),
inference(rat,[],[s617,s540,s149,s150,s151,s32,s49,s783,s53,s768,s51,s100,s571,s97,s98,s99,s765]) ).
cnf(s785,plain,
( spl0_56
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s645,s73,s74,s75,s784,s10,s777,s758,s50]) ).
cnf(s786,plain,
spl0_1,
inference(rat,[],[s785,s571,s97,s98,s99,s100,s765]) ).
cnf(s787,plain,
spl0_14,
inference(rat,[],[s176,s786]) ).
cnf(s788,plain,
~ spl0_145,
inference(rat,[],[s175,s786]) ).
cnf(s789,plain,
~ spl0_144,
inference(rat,[],[s174,s786]) ).
cnf(s790,plain,
~ spl0_143,
inference(rat,[],[s173,s786]) ).
cnf(s791,plain,
( spl0_22
| spl0_38
| ~ spl0_33 ),
inference(rat,[],[s27,s377,s787]) ).
cnf(s792,plain,
( ~ spl0_6
| ~ spl0_33
| ~ spl0_56 ),
inference(rat,[],[s590,s400,s145,s146,s147]) ).
cnf(s793,plain,
( ~ spl0_33
| ~ spl0_56
| spl0_2 ),
inference(rat,[],[s379,s409,s85,s86,s87,s756,s15,s791,s377,s758,s6,s792,s787]) ).
cnf(s794,plain,
( spl0_38
| spl0_22
| spl0_42 ),
inference(rat,[],[s645,s73,s74,s75,s32,s210,s27,s787]) ).
cnf(s795,plain,
( ~ spl0_4
| ~ spl0_38
| ~ spl0_56 ),
inference(rat,[],[s379,s409,s85,s86,s87]) ).
cnf(s796,plain,
( spl0_22
| spl0_42
| ~ spl0_56
| ~ spl0_55
| spl0_2 ),
inference(rat,[],[s248,s81,s82,s83,s16,s19,s365,s749,s768,s15,s34,s756,s795,s794,s740,s592,s787,s790,s789,s788]) ).
cnf(s797,plain,
( spl0_42
| ~ spl0_56
| spl0_2
| ~ spl0_55 ),
inference(rat,[],[s590,s733,s145,s146,s147,s6,s758,s796]) ).
cnf(s798,plain,
( ~ spl0_55
| ~ spl0_37
| spl0_2 ),
inference(rat,[],[s797,s783,s41,s575,s54,s677,s767,s558,s162,s161,s163,s787]) ).
cnf(s799,plain,
( ~ spl0_3
| ~ spl0_18
| spl0_55 ),
inference(rat,[],[s747,s59,s63,s674,s760,s109,s110,s111,s18,s395,s145,s146,s147,s47,s787]) ).
cnf(s800,plain,
( ~ spl0_56
| spl0_55
| spl0_2 ),
inference(rat,[],[s647,s613,s81,s82,s83,s19,s768,s15,s34,s799,s733,s25,s740,s590,s793,s592,s772,s18,s395,s145,s146,s147,s47,s787,s789,s790,s788]) ).
cnf(s801,plain,
( ~ spl0_58
| spl0_54
| spl0_36
| spl0_122
| ~ spl0_124 ),
inference(rat,[],[s45,s578,s616,s689,s133,s134,s135,s25,s748,s787]) ).
cnf(s802,plain,
( ~ spl0_37
| spl0_2 ),
inference(rat,[],[s747,s63,s59,s801,s557,s560,s54,s800,s772,s18,s395,s145,s146,s147,s47,s798,s558,s161,s162,s163,s787]) ).
cnf(s803,plain,
( spl0_22
| ~ spl0_56
| spl0_2 ),
inference(rat,[],[s795,s756,s27,s15,s365,s18,s772,s35,s740,s592,s802,s787,s790,s789,s788]) ).
cnf(s804,plain,
( ~ spl0_56
| spl0_2 ),
inference(rat,[],[s395,s145,s146,s147,s6,s758,s803,s18,s772,s35,s740,s592,s802,s787,s789,s790,s788]) ).
cnf(s805,plain,
( ~ spl0_3
| ~ spl0_54 ),
inference(rat,[],[s674,s109,s110,s111]) ).
cnf(s806,plain,
( ~ spl0_11
| ~ spl0_19 ),
inference(rat,[],[s645,s73,s74,s75]) ).
cnf(s808,plain,
( ~ spl0_24
| ~ spl0_15 ),
inference(rat,[],[s702,s77,s78,s79]) ).
cnf(s809,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(rat,[],[s451,s117,s118,s119]) ).
cnf(s810,plain,
( spl0_3
| spl0_15
| spl0_22
| spl0_37 ),
inference(rat,[],[s35,s776,s772,s8,s18,s751,s365,s26,s15,s787]) ).
cnf(s811,plain,
( spl0_22
| spl0_23
| spl0_2 ),
inference(rat,[],[s42,s760,s772,s63,s46,s805,s810,s632,s669,s54,s808,s13,s137,s139,s11,s802,s804,s787]) ).
cnf(s812,plain,
( ~ spl0_22
| spl0_2 ),
inference(rat,[],[s741,s728,s193,s194,s195,s55,s26,s776,s805,s35,s46,s772,s18,s688,s395,s733,s145,s146,s147,s6,s758,s802,s787]) ).
cnf(s813,plain,
spl0_2,
inference(rat,[],[s46,s772,s805,s18,s15,s395,s806,s145,s146,s147,s48,s47,s809,s811,s812,s802,s787]) ).
cnf(s814,plain,
spl0_88,
inference(rat,[],[s99,s813]) ).
cnf(s815,plain,
~ spl0_87,
inference(rat,[],[s98,s813]) ).
cnf(s816,plain,
~ spl0_86,
inference(rat,[],[s97,s813]) ).
cnf(s817,plain,
~ spl0_56,
inference(rat,[],[s571,s814,s815,s816]) ).
cnf(s818,plain,
( spl0_15
| spl0_37
| spl0_22 ),
inference(rat,[],[s760,s42,s63,s772,s630,s46,s671,s805,s110,s111,s810,s54,s787,s817]) ).
cnf(s819,plain,
( spl0_37
| spl0_22 ),
inference(rat,[],[s729,s27,s701,s806,s73,s74,s75,s48,s809,s13,s808,s818,s787]) ).
cnf(s820,plain,
~ spl0_37,
inference(rat,[],[s747,s63,s59,s801,s772,s18,s395,s145,s146,s147,s47,s782,s771,s787,s813]) ).
cnf(s821,plain,
spl0_22,
inference(rat,[],[s819,s820]) ).
cnf(s823,plain,
( ~ spl0_46
| ~ spl0_38 ),
inference(rat,[],[s741,s728,s193,s194,s195,s55,s686,s153,s154,s155,s52,s783,s32,s660,s546,s181,s182,s183,s62,s401,s628,s527,s740,s776,s151,s150,s149,s49,s780,s787,s817,s821,s788,s789,s790]) ).
cnf(s824,plain,
spl0_3,
inference(rat,[],[s32,s783,s540,s53,s617,s768,s34,s823,s149,s150,s151,s49,s780,s26,s787,s817,s821,s820]) ).
cnf(s828,plain,
~ spl0_54,
inference(rat,[],[s805,s824]) ).
cnf(s829,plain,
spl0_36,
inference(rat,[],[s46,s820,s787,s828]) ).
cnf(s830,plain,
~ spl0_28,
inference(rat,[],[s772,s829]) ).
cnf(s832,plain,
spl0_18,
inference(rat,[],[s42,s828,s787,s830]) ).
cnf(s834,plain,
spl0_115,
inference(rat,[],[s135,s832]) ).
cnf(s836,plain,
~ spl0_113,
inference(rat,[],[s133,s832]) ).
cnf(s838,plain,
~ spl0_174,
inference(rat,[],[s745,s824,s832]) ).
cnf(s840,plain,
~ spl0_55,
inference(rat,[],[s681,s838,s836,s834]) ).
cnf(s841,plain,
$false,
inference(rat,[],[s799,s840,s832,s824]) ).
fof(f2422,plain,
$false,
inference(avatar_sat_refutation,[],[s841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN465+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:11:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.97 % (480608)Detected formulas, will run a generic FOF schedule.
% 0.83/0.97 % (480619)dis-21_1_sil=8000:lcm=predicate:random_seed=1143437106:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.83/0.97 % (480619)First to succeed.
% 0.83/0.97 % (480619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-480608"
% 0.83/0.97 % (480618)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4112792317:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.83/0.97 % (480615)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=43527802:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.83/0.97 % (480616)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1085623108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.83/0.97 % (480614)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=272876794:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.83/0.97 % (480613)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=705177052:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.83/0.97 % (480617)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2913527362:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.83/0.97 % (480616)Also succeeded, but the first one will report.
% 0.83/0.97 % (480618)Also succeeded, but the first one will report.
% 0.83/0.97 % (480617)Instruction limit reached!
% 0.83/0.97 % (480617)------------------------------
% 0.83/0.97 % (480617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.83/0.97 % (480617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.97 % (480617)CaDiCaL version: 2.1.3
% 0.83/0.97 % (480617)Termination reason: Instruction limit
% 0.83/0.97 % (480617)Termination phase: Saturation
% 0.83/0.97 % (480617)Time elapsed: 0.057 s
% 0.83/0.97 % (480617)Peak memory usage: 88 MB
% 0.83/0.97 % (480617)Instructions burned: 119 (million)
% 0.83/0.97 % (480619)Refutation found. Thanks to Tanya!
% 0.83/0.97 % SZS status Theorem for theBenchmark
% 0.83/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/1.16 % (480619)------------------------------
% 2.70/1.16 % (480619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.16 % (480619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.16 % (480619)CaDiCaL version: 2.1.3
% 2.70/1.16 % (480619)Termination reason: Refutation
% 2.70/1.16 % (480619)Time elapsed: 0.023 s
% 2.70/1.16 % (480619)Peak memory usage: 90 MB
% 2.70/1.16 % (480619)Instructions burned: 67 (million)
% 2.70/1.16 % (480619)------------------------------
% 2.70/1.16 % (480619)------------------------------
% 2.70/1.16 % (480608)Success in time 0.291 s
% 2.70/1.16 % Vampire exiting
%------------------------------------------------------------------------------