%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN510+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:16:53 PM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 134
% Syntax : Number of formulae : 1001 ( 22 unt; 133 def)
% Number of atoms : 6895 ( 0 equ)
% Maximal formula atoms : 720 ( 6 avg)
% Number of connectives : 9134 (3240 ~;4405 |;1035 &)
% ( 133 <=>; 321 =>; 0 <=; 0 <~>)
% Maximal formula depth : 118 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 171 ( 170 usr; 167 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 722 ( 0 sgn 722 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a536)
& c2_1(a536)
& ~ c3_1(a536) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a537)
& ~ c1_1(a537)
& ~ c3_1(a537) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c1_1(a538)
& ~ c2_1(a538)
& ~ c3_1(a538) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a539)
& ~ c2_1(a539)
& ~ c3_1(a539) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a540)
& ~ c1_1(a540)
& ~ c2_1(a540) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a544)
& c1_1(a544)
& ~ c3_1(a544) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a546)
& ~ c0_1(a546)
& ~ c1_1(a546) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a547)
& ~ c0_1(a547)
& ~ c3_1(a547) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a548)
& c2_1(a548)
& ~ c0_1(a548) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a549)
& ~ c1_1(a549)
& ~ c2_1(a549) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a551)
& c3_1(a551)
& ~ c0_1(a551) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a553)
& c3_1(a553)
& ~ c2_1(a553) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a564)
& c3_1(a564)
& ~ c1_1(a564) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a565)
& c3_1(a565)
& ~ c2_1(a565) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a566)
& c3_1(a566)
& ~ c0_1(a566) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a567)
& c1_1(a567)
& ~ c2_1(a567) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a570)
& ~ c2_1(a570)
& ~ c3_1(a570) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a571)
& ~ c1_1(a571)
& ~ c2_1(a571) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a573)
& ~ c1_1(a573)
& ~ c3_1(a573) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a576)
& ~ c1_1(a576)
& ~ c3_1(a576) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a580)
& ~ c0_1(a580)
& ~ c3_1(a580) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a582)
& c3_1(a582)
& ~ c1_1(a582) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a584)
& ~ c0_1(a584)
& ~ c2_1(a584) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a587)
& ~ c2_1(a587)
& ~ c3_1(a587) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a590)
& ~ c0_1(a590)
& ~ c2_1(a590) ) )
& ( ~ hskp25
| ( ndr1_0
& c2_1(a594)
& ~ c0_1(a594)
& ~ c1_1(a594) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c3_1(a604) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a541)
& c1_1(a541)
& c2_1(a541) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a552)
& c2_1(a552)
& c3_1(a552) ) )
& ( ~ hskp30
| ( ndr1_0
& c1_1(a562)
& c2_1(a562)
& c3_1(a562) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a563)
& c1_1(a563)
& c3_1(a563) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c0_1(X5)
| ~ c1_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp3 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| c3_1(X9)
| ~ c0_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c3_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| hskp28
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| hskp1 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| hskp5
| hskp2 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| ~ c0_1(X21)
| ~ c2_1(X21) ) )
| hskp6 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c2_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| ~ c0_1(X26)
| ~ c3_1(X26) ) )
| hskp7 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| c3_1(X27) ) )
| hskp8
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp8
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp29
| hskp11 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| ~ c1_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| hskp11
| hskp9 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| hskp0 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| ~ c1_1(X44)
| ~ c2_1(X44) ) )
| hskp10
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c2_1(X46)
| ~ c0_1(X46)
| ~ c1_1(X46) ) )
| hskp6 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47) ) )
| hskp0
| hskp30 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| ~ c0_1(X52)
| ~ c2_1(X52) ) )
| hskp31 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp12 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp13
| hskp14 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| c3_1(X56) ) )
| hskp15
| hskp2 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| c3_1(X57) ) )
| hskp3
| hskp16 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp17 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c0_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| ~ c0_1(X61)
| ~ c1_1(X61) ) )
| hskp12 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| ~ c1_1(X63)
| ~ c2_1(X63) ) )
| hskp18 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c2_1(X64)
| ~ c0_1(X64) ) )
| hskp12
| hskp11 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65) ) )
| hskp19
| hskp9 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67) ) )
| hskp13 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp13
| hskp20 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c2_1(X69) ) )
| hskp29
| hskp21 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp22 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp7 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| hskp3 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| ~ c1_1(X79)
| ~ c2_1(X79) ) )
| hskp23 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| hskp21
| hskp22 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c1_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c0_1(X87)
| ~ c1_1(X87)
| ~ c3_1(X87) ) )
| hskp24 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c1_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp14 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp3
| hskp6 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| hskp25
| hskp4 )
& ( ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92) ) )
| hskp15
| hskp0 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) ) )
| hskp3
| hskp6 )
& ( ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94) ) )
| hskp12
| hskp21 )
& ( ! [X95] :
( ndr1_0
=> ( c3_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp30
| hskp7 )
& ( ! [X96] :
( ndr1_0
=> ( c3_1(X96)
| ~ c0_1(X96)
| ~ c2_1(X96) ) )
| hskp26
| hskp24 )
& ( ! [X97] :
( ndr1_0
=> ( c3_1(X97)
| ~ c0_1(X97)
| ~ c2_1(X97) ) )
| hskp14
| hskp21 )
& ( ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c0_1(X98)
| ~ c2_1(X98) ) )
| hskp25
| hskp9 )
& ( ! [X99] :
( ndr1_0
=> ( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) )
| hskp5
| hskp4 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| ~ c1_1(X100)
| ~ c2_1(X100) ) )
| hskp26
| hskp14 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c0_1(X101)
| ~ c1_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c0_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp14 )
& ( ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103) ) )
| hskp27
| hskp26 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104) ) )
| hskp26
| hskp4 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp10
| hskp14 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a536)
& c2_1(a536)
& ~ c3_1(a536) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a537)
& ~ c1_1(a537)
& ~ c3_1(a537) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c1_1(a538)
& ~ c2_1(a538)
& ~ c3_1(a538) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a539)
& ~ c2_1(a539)
& ~ c3_1(a539) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a540)
& ~ c1_1(a540)
& ~ c2_1(a540) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a544)
& c1_1(a544)
& ~ c3_1(a544) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a546)
& ~ c0_1(a546)
& ~ c1_1(a546) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a547)
& ~ c0_1(a547)
& ~ c3_1(a547) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a548)
& c2_1(a548)
& ~ c0_1(a548) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a549)
& ~ c1_1(a549)
& ~ c2_1(a549) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a551)
& c3_1(a551)
& ~ c0_1(a551) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a553)
& c3_1(a553)
& ~ c2_1(a553) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a564)
& c3_1(a564)
& ~ c1_1(a564) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a565)
& c3_1(a565)
& ~ c2_1(a565) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a566)
& c3_1(a566)
& ~ c0_1(a566) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a567)
& c1_1(a567)
& ~ c2_1(a567) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a570)
& ~ c2_1(a570)
& ~ c3_1(a570) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a571)
& ~ c1_1(a571)
& ~ c2_1(a571) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a573)
& ~ c1_1(a573)
& ~ c3_1(a573) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a576)
& ~ c1_1(a576)
& ~ c3_1(a576) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a580)
& ~ c0_1(a580)
& ~ c3_1(a580) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a582)
& c3_1(a582)
& ~ c1_1(a582) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a584)
& ~ c0_1(a584)
& ~ c2_1(a584) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a587)
& ~ c2_1(a587)
& ~ c3_1(a587) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a590)
& ~ c0_1(a590)
& ~ c2_1(a590) ) )
& ( ~ hskp25
| ( ndr1_0
& c2_1(a594)
& ~ c0_1(a594)
& ~ c1_1(a594) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c3_1(a604) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a541)
& c1_1(a541)
& c2_1(a541) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a552)
& c2_1(a552)
& c3_1(a552) ) )
& ( ~ hskp30
| ( ndr1_0
& c1_1(a562)
& c2_1(a562)
& c3_1(a562) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a563)
& c1_1(a563)
& c3_1(a563) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c0_1(X5)
| ~ c1_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp3 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| c3_1(X9)
| ~ c0_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c3_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| hskp28
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| hskp1 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| hskp5
| hskp2 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| ~ c0_1(X21)
| ~ c2_1(X21) ) )
| hskp6 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c2_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| ~ c0_1(X26)
| ~ c3_1(X26) ) )
| hskp7 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| c3_1(X27) ) )
| hskp8
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp8
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp29
| hskp11 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| ~ c1_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| hskp11
| hskp9 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| hskp0 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| ~ c1_1(X44)
| ~ c2_1(X44) ) )
| hskp10
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c2_1(X46)
| ~ c0_1(X46)
| ~ c1_1(X46) ) )
| hskp6 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47) ) )
| hskp0
| hskp30 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| ~ c0_1(X52)
| ~ c2_1(X52) ) )
| hskp31 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp12 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp13
| hskp14 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| c3_1(X56) ) )
| hskp15
| hskp2 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| c3_1(X57) ) )
| hskp3
| hskp16 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp17 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c0_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| ~ c0_1(X61)
| ~ c1_1(X61) ) )
| hskp12 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| ~ c1_1(X63)
| ~ c2_1(X63) ) )
| hskp18 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c2_1(X64)
| ~ c0_1(X64) ) )
| hskp12
| hskp11 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65) ) )
| hskp19
| hskp9 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67) ) )
| hskp13 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp13
| hskp20 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c2_1(X69) ) )
| hskp29
| hskp21 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp22 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp7 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| hskp3 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| ~ c1_1(X79)
| ~ c2_1(X79) ) )
| hskp23 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| hskp21
| hskp22 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c1_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c0_1(X87)
| ~ c1_1(X87)
| ~ c3_1(X87) ) )
| hskp24 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c1_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp14 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp3
| hskp6 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| hskp25
| hskp4 )
& ( ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92) ) )
| hskp15
| hskp0 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) ) )
| hskp3
| hskp6 )
& ( ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94) ) )
| hskp12
| hskp21 )
& ( ! [X95] :
( ndr1_0
=> ( c3_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp30
| hskp7 )
& ( ! [X96] :
( ndr1_0
=> ( c3_1(X96)
| ~ c0_1(X96)
| ~ c2_1(X96) ) )
| hskp26
| hskp24 )
& ( ! [X97] :
( ndr1_0
=> ( c3_1(X97)
| ~ c0_1(X97)
| ~ c2_1(X97) ) )
| hskp14
| hskp21 )
& ( ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c0_1(X98)
| ~ c2_1(X98) ) )
| hskp25
| hskp9 )
& ( ! [X99] :
( ndr1_0
=> ( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) )
| hskp5
| hskp4 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| ~ c1_1(X100)
| ~ c2_1(X100) ) )
| hskp26
| hskp14 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c0_1(X101)
| ~ c1_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c0_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp14 )
& ( ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103) ) )
| hskp27
| hskp26 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104) ) )
| hskp26
| hskp4 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp10
| hskp14 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a536)
& c2_1(a536)
& ~ c3_1(a536) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a537)
& ~ c1_1(a537)
& ~ c3_1(a537) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c1_1(a538)
& ~ c2_1(a538)
& ~ c3_1(a538) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a539)
& ~ c2_1(a539)
& ~ c3_1(a539) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a540)
& ~ c1_1(a540)
& ~ c2_1(a540) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a544)
& c1_1(a544)
& ~ c3_1(a544) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a546)
& ~ c0_1(a546)
& ~ c1_1(a546) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a547)
& ~ c0_1(a547)
& ~ c3_1(a547) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a548)
& c2_1(a548)
& ~ c0_1(a548) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a549)
& ~ c1_1(a549)
& ~ c2_1(a549) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a551)
& c3_1(a551)
& ~ c0_1(a551) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a553)
& c3_1(a553)
& ~ c2_1(a553) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a564)
& c3_1(a564)
& ~ c1_1(a564) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a565)
& c3_1(a565)
& ~ c2_1(a565) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a566)
& c3_1(a566)
& ~ c0_1(a566) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a567)
& c1_1(a567)
& ~ c2_1(a567) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a570)
& ~ c2_1(a570)
& ~ c3_1(a570) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a571)
& ~ c1_1(a571)
& ~ c2_1(a571) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a573)
& ~ c1_1(a573)
& ~ c3_1(a573) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a576)
& ~ c1_1(a576)
& ~ c3_1(a576) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a580)
& ~ c0_1(a580)
& ~ c3_1(a580) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a582)
& c3_1(a582)
& ~ c1_1(a582) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a584)
& ~ c0_1(a584)
& ~ c2_1(a584) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a587)
& ~ c2_1(a587)
& ~ c3_1(a587) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a590)
& ~ c0_1(a590)
& ~ c2_1(a590) ) )
& ( ~ hskp25
| ( ndr1_0
& c2_1(a594)
& ~ c0_1(a594)
& ~ c1_1(a594) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c3_1(a604) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a541)
& c1_1(a541)
& c2_1(a541) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a552)
& c2_1(a552)
& c3_1(a552) ) )
& ( ~ hskp30
| ( ndr1_0
& c1_1(a562)
& c2_1(a562)
& c3_1(a562) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a563)
& c1_1(a563)
& c3_1(a563) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c0_1(X5)
| ~ c1_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp3 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| c3_1(X9)
| ~ c0_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| c3_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| hskp28
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c1_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| hskp1 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| hskp5
| hskp2 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| c3_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c1_1(X21)
| ~ c0_1(X21)
| ~ c2_1(X21) ) )
| hskp6 )
& ( ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c2_1(X22)
| c3_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c2_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24) ) ) )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| ~ c0_1(X26)
| ~ c3_1(X26) ) )
| hskp7 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| c3_1(X27) ) )
| hskp8
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c1_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c1_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp8
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp29
| hskp11 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( ~ c0_1(X39)
| ~ c1_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| hskp11
| hskp9 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43) ) )
| hskp0 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| ~ c1_1(X44)
| ~ c2_1(X44) ) )
| hskp10
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c2_1(X46)
| ~ c0_1(X46)
| ~ c1_1(X46) ) )
| hskp6 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47) ) )
| hskp0
| hskp30 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| ~ c0_1(X52)
| ~ c2_1(X52) ) )
| hskp31 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54) ) )
| hskp12 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55) ) )
| hskp13
| hskp14 )
& ( ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| c3_1(X56) ) )
| hskp15
| hskp2 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| c3_1(X57) ) )
| hskp3
| hskp16 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59) ) )
| hskp17 )
& ( ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| c2_1(X60)
| ~ c0_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| ~ c0_1(X61)
| ~ c1_1(X61) ) )
| hskp12 )
& ( ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| ~ c1_1(X63)
| ~ c2_1(X63) ) )
| hskp18 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c2_1(X64)
| ~ c0_1(X64) ) )
| hskp12
| hskp11 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65) ) )
| hskp19
| hskp9 )
& ( ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67) ) )
| hskp13 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp13
| hskp20 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c2_1(X69) ) )
| hskp29
| hskp21 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp19 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp22 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp7 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77) ) )
| hskp3 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| ~ c1_1(X79)
| ~ c2_1(X79) ) )
| hskp23 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| hskp21
| hskp22 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c1_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( ~ c0_1(X87)
| ~ c1_1(X87)
| ~ c3_1(X87) ) )
| hskp24 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c1_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp14 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp3
| hskp6 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| hskp25
| hskp4 )
& ( ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92) ) )
| hskp15
| hskp0 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93) ) )
| hskp3
| hskp6 )
& ( ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94) ) )
| hskp12
| hskp21 )
& ( ! [X95] :
( ndr1_0
=> ( c3_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp30
| hskp7 )
& ( ! [X96] :
( ndr1_0
=> ( c3_1(X96)
| ~ c0_1(X96)
| ~ c2_1(X96) ) )
| hskp26
| hskp24 )
& ( ! [X97] :
( ndr1_0
=> ( c3_1(X97)
| ~ c0_1(X97)
| ~ c2_1(X97) ) )
| hskp14
| hskp21 )
& ( ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c0_1(X98)
| ~ c2_1(X98) ) )
| hskp25
| hskp9 )
& ( ! [X99] :
( ndr1_0
=> ( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99) ) )
| hskp5
| hskp4 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c0_1(X100)
| ~ c1_1(X100)
| ~ c2_1(X100) ) )
| hskp26
| hskp14 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c0_1(X101)
| ~ c1_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c0_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp14 )
& ( ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103) ) )
| hskp27
| hskp26 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104) ) )
| hskp26
| hskp4 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp10
| hskp14 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a536)
& c2_1(a536)
& ~ c3_1(a536) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a537)
& ~ c1_1(a537)
& ~ c3_1(a537) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c1_1(a538)
& ~ c2_1(a538)
& ~ c3_1(a538) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a539)
& ~ c2_1(a539)
& ~ c3_1(a539) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a540)
& ~ c1_1(a540)
& ~ c2_1(a540) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a544)
& c1_1(a544)
& ~ c3_1(a544) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a546)
& ~ c0_1(a546)
& ~ c1_1(a546) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a547)
& ~ c0_1(a547)
& ~ c3_1(a547) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a548)
& c2_1(a548)
& ~ c0_1(a548) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a549)
& ~ c1_1(a549)
& ~ c2_1(a549) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a551)
& c3_1(a551)
& ~ c0_1(a551) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a553)
& c3_1(a553)
& ~ c2_1(a553) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a564)
& c3_1(a564)
& ~ c1_1(a564) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a565)
& c3_1(a565)
& ~ c2_1(a565) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a566)
& c3_1(a566)
& ~ c0_1(a566) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a567)
& c1_1(a567)
& ~ c2_1(a567) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a570)
& ~ c2_1(a570)
& ~ c3_1(a570) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a571)
& ~ c1_1(a571)
& ~ c2_1(a571) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a573)
& ~ c1_1(a573)
& ~ c3_1(a573) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a576)
& ~ c1_1(a576)
& ~ c3_1(a576) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a580)
& ~ c0_1(a580)
& ~ c3_1(a580) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a582)
& c3_1(a582)
& ~ c1_1(a582) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a584)
& ~ c0_1(a584)
& ~ c2_1(a584) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a587)
& ~ c2_1(a587)
& ~ c3_1(a587) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a590)
& ~ c0_1(a590)
& ~ c2_1(a590) ) )
& ( ~ hskp25
| ( ndr1_0
& c2_1(a594)
& ~ c0_1(a594)
& ~ c1_1(a594) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c3_1(a604) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a541)
& c1_1(a541)
& c2_1(a541) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a552)
& c2_1(a552)
& c3_1(a552) ) )
& ( ~ hskp30
| ( ndr1_0
& c1_1(a562)
& c2_1(a562)
& c3_1(a562) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a563)
& c1_1(a563)
& c3_1(a563) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( ~ c0_1(X5)
| ~ c1_1(X5)
| ~ c2_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c1_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c1_1(X9)
| c3_1(X9)
| ~ c0_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10)
| ~ ndr1_0 ) )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| c3_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| c3_1(X13)
| ~ ndr1_0 )
| hskp28
| hskp2 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c1_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0 )
| hskp5
| hskp2 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| c3_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c1_1(X21)
| ~ c0_1(X21)
| ~ c2_1(X21)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X22] :
( c0_1(X22)
| c2_1(X22)
| c3_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c2_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 ) )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( c2_1(X26)
| ~ c0_1(X26)
| ~ c3_1(X26)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| c3_1(X27)
| ~ ndr1_0 )
| hskp8
| hskp9 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( c1_1(X30)
| c3_1(X30)
| ~ c0_1(X30)
| ~ ndr1_0 ) )
& ( ! [X31] :
( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( ~ c1_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33)
| ~ ndr1_0 ) )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34)
| ~ ndr1_0 )
| hskp8
| hskp10 )
& ( ! [X35] :
( c0_1(X35)
| c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 )
| hskp29
| hskp11 )
& ( ! [X36] :
( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X38] :
( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38)
| ~ ndr1_0 )
| ! [X39] :
( ~ c0_1(X39)
| ~ c1_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41)
| ~ ndr1_0 )
| hskp11
| hskp9 )
& ( ! [X42] :
( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 )
| ! [X43] :
( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X44] :
( c0_1(X44)
| ~ c1_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0 )
| hskp10
| hskp9 )
& ( ! [X45] :
( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c2_1(X46)
| ~ c0_1(X46)
| ~ c1_1(X46)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X47] :
( c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 )
| hskp0
| hskp30 )
& ( ! [X48] :
( c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( c1_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50)
| ~ ndr1_0 ) )
& ( ! [X51] :
( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| ~ c0_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0 )
| hskp31 )
& ( ! [X53] :
( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X55] :
( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55)
| ~ ndr1_0 )
| hskp13
| hskp14 )
& ( ! [X56] :
( c1_1(X56)
| c2_1(X56)
| c3_1(X56)
| ~ ndr1_0 )
| hskp15
| hskp2 )
& ( ! [X57] :
( c1_1(X57)
| c2_1(X57)
| c3_1(X57)
| ~ ndr1_0 )
| hskp3
| hskp16 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X60] :
( c1_1(X60)
| c2_1(X60)
| ~ c0_1(X60)
| ~ ndr1_0 )
| ! [X61] :
( c3_1(X61)
| ~ c0_1(X61)
| ~ c1_1(X61)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X62] :
( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( c3_1(X63)
| ~ c1_1(X63)
| ~ c2_1(X63)
| ~ ndr1_0 )
| hskp18 )
& ( ! [X64] :
( c1_1(X64)
| c2_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| hskp12
| hskp11 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp19
| hskp9 )
& ( ! [X66] :
( c1_1(X66)
| c3_1(X66)
| ~ c0_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X68] :
( c1_1(X68)
| c3_1(X68)
| ~ c0_1(X68)
| ~ ndr1_0 )
| hskp13
| hskp20 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c2_1(X69)
| ~ ndr1_0 )
| hskp29
| hskp21 )
& ( ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X72] :
( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X74] :
( c1_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X76] :
( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0 )
| ! [X79] :
( ~ c0_1(X79)
| ~ c1_1(X79)
| ~ c2_1(X79)
| ~ ndr1_0 )
| hskp23 )
& ( ! [X80] :
( c1_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| ! [X82] :
( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 ) )
& ( ! [X83] :
( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c0_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 ) )
& ( ! [X85] :
( c2_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0 )
| hskp21
| hskp22 )
& ( ! [X86] :
( c2_1(X86)
| c3_1(X86)
| ~ c1_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( ~ c0_1(X87)
| ~ c1_1(X87)
| ~ c3_1(X87)
| ~ ndr1_0 )
| hskp24 )
& ( ! [X88] :
( c2_1(X88)
| c3_1(X88)
| ~ c1_1(X88)
| ~ ndr1_0 )
| ! [X89] :
( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90)
| ~ ndr1_0 )
| hskp3
| hskp6 )
& ( ! [X91] :
( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91)
| ~ ndr1_0 )
| hskp25
| hskp4 )
& ( ! [X92] :
( c2_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| hskp15
| hskp0 )
& ( ! [X93] :
( c2_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp3
| hskp6 )
& ( ! [X94] :
( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94)
| ~ ndr1_0 )
| hskp12
| hskp21 )
& ( ! [X95] :
( c3_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95)
| ~ ndr1_0 )
| hskp30
| hskp7 )
& ( ! [X96] :
( c3_1(X96)
| ~ c0_1(X96)
| ~ c2_1(X96)
| ~ ndr1_0 )
| hskp26
| hskp24 )
& ( ! [X97] :
( c3_1(X97)
| ~ c0_1(X97)
| ~ c2_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp21 )
& ( ! [X98] :
( c3_1(X98)
| ~ c0_1(X98)
| ~ c2_1(X98)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X99] :
( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99)
| ~ ndr1_0 )
| hskp5
| hskp4 )
& ( ! [X100] :
( ~ c0_1(X100)
| ~ c1_1(X100)
| ~ c2_1(X100)
| ~ ndr1_0 )
| hskp26
| hskp14 )
& ( ! [X101] :
( ~ c0_1(X101)
| ~ c1_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| ! [X102] :
( ~ c0_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X103] :
( ~ c0_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp27
| hskp26 )
& ( ! [X104] :
( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104)
| ~ ndr1_0 )
| hskp26
| hskp4 )
& ( ! [X105] :
( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| hskp10
| hskp14 )
& ( ! [X106] :
( ~ c1_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a536)
& c2_1(a536)
& ~ c3_1(a536) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a537)
& ~ c1_1(a537)
& ~ c3_1(a537) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c1_1(a538)
& ~ c2_1(a538)
& ~ c3_1(a538) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a539)
& ~ c2_1(a539)
& ~ c3_1(a539) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a540)
& ~ c1_1(a540)
& ~ c2_1(a540) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a544)
& c1_1(a544)
& ~ c3_1(a544) ) )
& ( ~ hskp6
| ( ndr1_0
& c3_1(a546)
& ~ c0_1(a546)
& ~ c1_1(a546) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a547)
& ~ c0_1(a547)
& ~ c3_1(a547) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a548)
& c2_1(a548)
& ~ c0_1(a548) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c0_1(a549)
& ~ c1_1(a549)
& ~ c2_1(a549) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a551)
& c3_1(a551)
& ~ c0_1(a551) ) )
& ( ~ hskp11
| ( ndr1_0
& c1_1(a553)
& c3_1(a553)
& ~ c2_1(a553) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a564)
& c3_1(a564)
& ~ c1_1(a564) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a565)
& c3_1(a565)
& ~ c2_1(a565) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a566)
& c3_1(a566)
& ~ c0_1(a566) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a567)
& c1_1(a567)
& ~ c2_1(a567) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a570)
& ~ c2_1(a570)
& ~ c3_1(a570) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a571)
& ~ c1_1(a571)
& ~ c2_1(a571) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ c0_1(a573)
& ~ c1_1(a573)
& ~ c3_1(a573) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a576)
& ~ c1_1(a576)
& ~ c3_1(a576) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a580)
& ~ c0_1(a580)
& ~ c3_1(a580) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a582)
& c3_1(a582)
& ~ c1_1(a582) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a584)
& ~ c0_1(a584)
& ~ c2_1(a584) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ c0_1(a587)
& ~ c2_1(a587)
& ~ c3_1(a587) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a590)
& ~ c0_1(a590)
& ~ c2_1(a590) ) )
& ( ~ hskp25
| ( ndr1_0
& c2_1(a594)
& ~ c0_1(a594)
& ~ c1_1(a594) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a604)
& c2_1(a604)
& ~ c3_1(a604) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a615)
& c2_1(a615)
& ~ c1_1(a615) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a541)
& c1_1(a541)
& c2_1(a541) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a552)
& c2_1(a552)
& c3_1(a552) ) )
& ( ~ hskp30
| ( ndr1_0
& c1_1(a562)
& c2_1(a562)
& c3_1(a562) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a563)
& c1_1(a563)
& c3_1(a563) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( ~ c0_1(X5)
| ~ c1_1(X5)
| ~ c2_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c1_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c1_1(X9)
| c3_1(X9)
| ~ c0_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10)
| ~ ndr1_0 ) )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| c3_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| c3_1(X13)
| ~ ndr1_0 )
| hskp28
| hskp2 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c1_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c3_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( ~ c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0 )
| hskp5
| hskp2 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| c3_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c1_1(X21)
| ~ c0_1(X21)
| ~ c2_1(X21)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X22] :
( c0_1(X22)
| c2_1(X22)
| c3_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c2_1(X23)
| ~ c0_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 ) )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| ! [X26] :
( c2_1(X26)
| ~ c0_1(X26)
| ~ c3_1(X26)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| c3_1(X27)
| ~ ndr1_0 )
| hskp8
| hskp9 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c0_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( c1_1(X30)
| c3_1(X30)
| ~ c0_1(X30)
| ~ ndr1_0 ) )
& ( ! [X31] :
( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c0_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( ~ c1_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33)
| ~ ndr1_0 ) )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34)
| ~ ndr1_0 )
| hskp8
| hskp10 )
& ( ! [X35] :
( c0_1(X35)
| c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 )
| hskp29
| hskp11 )
& ( ! [X36] :
( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X38] :
( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38)
| ~ ndr1_0 )
| ! [X39] :
( ~ c0_1(X39)
| ~ c1_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c0_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41)
| ~ ndr1_0 )
| hskp11
| hskp9 )
& ( ! [X42] :
( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 )
| ! [X43] :
( ~ c0_1(X43)
| ~ c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X44] :
( c0_1(X44)
| ~ c1_1(X44)
| ~ c2_1(X44)
| ~ ndr1_0 )
| hskp10
| hskp9 )
& ( ! [X45] :
( c0_1(X45)
| ~ c1_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c2_1(X46)
| ~ c0_1(X46)
| ~ c1_1(X46)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X47] :
( c0_1(X47)
| ~ c1_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 )
| hskp0
| hskp30 )
& ( ! [X48] :
( c0_1(X48)
| ~ c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( c1_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c2_1(X50)
| ~ c0_1(X50)
| ~ c3_1(X50)
| ~ ndr1_0 ) )
& ( ! [X51] :
( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| ~ c0_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0 )
| hskp31 )
& ( ! [X53] :
( c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( ~ c0_1(X54)
| ~ c1_1(X54)
| ~ c2_1(X54)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X55] :
( c0_1(X55)
| ~ c2_1(X55)
| ~ c3_1(X55)
| ~ ndr1_0 )
| hskp13
| hskp14 )
& ( ! [X56] :
( c1_1(X56)
| c2_1(X56)
| c3_1(X56)
| ~ ndr1_0 )
| hskp15
| hskp2 )
& ( ! [X57] :
( c1_1(X57)
| c2_1(X57)
| c3_1(X57)
| ~ ndr1_0 )
| hskp3
| hskp16 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c2_1(X59)
| ~ c0_1(X59)
| ~ c1_1(X59)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X60] :
( c1_1(X60)
| c2_1(X60)
| ~ c0_1(X60)
| ~ ndr1_0 )
| ! [X61] :
( c3_1(X61)
| ~ c0_1(X61)
| ~ c1_1(X61)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X62] :
( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( c3_1(X63)
| ~ c1_1(X63)
| ~ c2_1(X63)
| ~ ndr1_0 )
| hskp18 )
& ( ! [X64] :
( c1_1(X64)
| c2_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| hskp12
| hskp11 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp19
| hskp9 )
& ( ! [X66] :
( c1_1(X66)
| c3_1(X66)
| ~ c0_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( ~ c0_1(X67)
| ~ c1_1(X67)
| ~ c2_1(X67)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X68] :
( c1_1(X68)
| c3_1(X68)
| ~ c0_1(X68)
| ~ ndr1_0 )
| hskp13
| hskp20 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c2_1(X69)
| ~ ndr1_0 )
| hskp29
| hskp21 )
& ( ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X72] :
( c1_1(X72)
| ~ c0_1(X72)
| ~ c2_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X74] :
( c1_1(X74)
| ~ c0_1(X74)
| ~ c2_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X76] :
( c1_1(X76)
| ~ c0_1(X76)
| ~ c2_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( c2_1(X77)
| ~ c1_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c2_1(X78)
| ~ ndr1_0 )
| ! [X79] :
( ~ c0_1(X79)
| ~ c1_1(X79)
| ~ c2_1(X79)
| ~ ndr1_0 )
| hskp23 )
& ( ! [X80] :
( c1_1(X80)
| ~ c0_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| ! [X82] :
( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 ) )
& ( ! [X83] :
( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c0_1(X84)
| ~ c2_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 ) )
& ( ! [X85] :
( c2_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0 )
| hskp21
| hskp22 )
& ( ! [X86] :
( c2_1(X86)
| c3_1(X86)
| ~ c1_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( ~ c0_1(X87)
| ~ c1_1(X87)
| ~ c3_1(X87)
| ~ ndr1_0 )
| hskp24 )
& ( ! [X88] :
( c2_1(X88)
| c3_1(X88)
| ~ c1_1(X88)
| ~ ndr1_0 )
| ! [X89] :
( ~ c0_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90)
| ~ ndr1_0 )
| hskp3
| hskp6 )
& ( ! [X91] :
( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91)
| ~ ndr1_0 )
| hskp25
| hskp4 )
& ( ! [X92] :
( c2_1(X92)
| ~ c0_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| hskp15
| hskp0 )
& ( ! [X93] :
( c2_1(X93)
| ~ c1_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp3
| hskp6 )
& ( ! [X94] :
( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94)
| ~ ndr1_0 )
| hskp12
| hskp21 )
& ( ! [X95] :
( c3_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95)
| ~ ndr1_0 )
| hskp30
| hskp7 )
& ( ! [X96] :
( c3_1(X96)
| ~ c0_1(X96)
| ~ c2_1(X96)
| ~ ndr1_0 )
| hskp26
| hskp24 )
& ( ! [X97] :
( c3_1(X97)
| ~ c0_1(X97)
| ~ c2_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp21 )
& ( ! [X98] :
( c3_1(X98)
| ~ c0_1(X98)
| ~ c2_1(X98)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X99] :
( c3_1(X99)
| ~ c1_1(X99)
| ~ c2_1(X99)
| ~ ndr1_0 )
| hskp5
| hskp4 )
& ( ! [X100] :
( ~ c0_1(X100)
| ~ c1_1(X100)
| ~ c2_1(X100)
| ~ ndr1_0 )
| hskp26
| hskp14 )
& ( ! [X101] :
( ~ c0_1(X101)
| ~ c1_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| ! [X102] :
( ~ c0_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X103] :
( ~ c0_1(X103)
| ~ c1_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp27
| hskp26 )
& ( ! [X104] :
( ~ c0_1(X104)
| ~ c2_1(X104)
| ~ c3_1(X104)
| ~ ndr1_0 )
| hskp26
| hskp4 )
& ( ! [X105] :
( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| hskp10
| hskp14 )
& ( ! [X106] :
( ~ c1_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( hskp0
| ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X3] :
( hskp1
| ~ c3_1(X3)
| ~ c0_1(X3)
| c1_1(X3)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X6,X7] :
( hskp3
| ~ c3_1(X7)
| c2_1(X7)
| c1_1(X7)
| ~ ndr1_0
| c3_1(X6)
| c1_1(X6)
| c0_1(X6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X11,X12] :
( hskp4
| ~ c3_1(X12)
| ~ c0_1(X12)
| c2_1(X12)
| ~ ndr1_0
| c3_1(X11)
| c1_1(X11)
| c0_1(X11) ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X16,X14,X15] :
( ~ c3_1(X16)
| ~ c2_1(X16)
| c0_1(X16)
| ~ c3_1(X15)
| c1_1(X15)
| c0_1(X15)
| ~ ndr1_0
| ~ c2_1(X14)
| c1_1(X14)
| c0_1(X14) ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
! [X18,X17] :
( hskp1
| ~ c2_1(X18)
| ~ c1_1(X18)
| ~ c0_1(X18)
| ~ ndr1_0
| ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X19] :
( hskp2
| hskp5
| ~ ndr1_0
| ~ c3_1(X19)
| c1_1(X19)
| c0_1(X19) ),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X24,X22,X23] :
( ~ c3_1(X24)
| ~ c1_1(X24)
| ~ c0_1(X24)
| ~ c1_1(X23)
| ~ c0_1(X23)
| c2_1(X23)
| ~ ndr1_0
| c3_1(X22)
| c2_1(X22)
| c0_1(X22) ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X28,X29,X30] :
( ~ c0_1(X30)
| c3_1(X30)
| c1_1(X30)
| ~ c3_1(X29)
| c2_1(X29)
| c0_1(X29)
| ~ ndr1_0
| ~ c1_1(X28)
| c2_1(X28)
| c0_1(X28) ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X31,X32,X33] :
( ~ c3_1(X33)
| ~ c2_1(X33)
| ~ c1_1(X33)
| ~ c3_1(X32)
| ~ c2_1(X32)
| c0_1(X32)
| ~ ndr1_0
| ~ c1_1(X31)
| c2_1(X31)
| c0_1(X31) ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X34] :
( hskp10
| hskp8
| ~ ndr1_0
| ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X41] :
( hskp9
| hskp11
| ~ ndr1_0
| ~ c1_1(X41)
| c3_1(X41)
| c0_1(X41) ),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X42,X43] :
( hskp0
| ~ c3_1(X43)
| ~ c2_1(X43)
| ~ c0_1(X43)
| ~ ndr1_0
| ~ c2_1(X42)
| c3_1(X42)
| c0_1(X42) ),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X44] :
( hskp9
| hskp10
| ~ ndr1_0
| ~ c2_1(X44)
| ~ c1_1(X44)
| c0_1(X44) ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X46,X45] :
( hskp6
| ~ c1_1(X46)
| ~ c0_1(X46)
| c2_1(X46)
| ~ ndr1_0
| ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X47] :
( hskp30
| hskp0
| ~ ndr1_0
| ~ c3_1(X47)
| ~ c1_1(X47)
| c0_1(X47) ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X50,X48,X49] :
( ~ c3_1(X50)
| ~ c0_1(X50)
| c2_1(X50)
| ~ c2_1(X49)
| c3_1(X49)
| c1_1(X49)
| ~ ndr1_0
| ~ c3_1(X48)
| ~ c2_1(X48)
| c0_1(X48) ),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X51,X52] :
( hskp31
| ~ c2_1(X52)
| ~ c0_1(X52)
| c1_1(X52)
| ~ ndr1_0
| ~ c3_1(X51)
| ~ c2_1(X51)
| c0_1(X51) ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X54,X53] :
( hskp12
| ~ c2_1(X54)
| ~ c1_1(X54)
| ~ c0_1(X54)
| ~ ndr1_0
| ~ c3_1(X53)
| ~ c2_1(X53)
| c0_1(X53) ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X65] :
( hskp9
| hskp19
| ~ ndr1_0
| ~ c3_1(X65)
| c2_1(X65)
| c1_1(X65) ),
inference(cnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X66,X67] :
( hskp13
| ~ c2_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0
| ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66) ),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X69] :
( hskp21
| hskp29
| ~ ndr1_0
| ~ c2_1(X69)
| c3_1(X69)
| c1_1(X69) ),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X70,X71] :
( hskp19
| ~ c3_1(X71)
| ~ c2_1(X71)
| c1_1(X71)
| ~ ndr1_0
| ~ c2_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X74,X75] :
( hskp7
| ~ c1_1(X75)
| ~ c0_1(X75)
| c2_1(X75)
| ~ ndr1_0
| ~ c2_1(X74)
| ~ c0_1(X74)
| c1_1(X74) ),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
! [X82,X80,X81] :
( ~ c2_1(X82)
| ~ c0_1(X82)
| c3_1(X82)
| ~ c3_1(X81)
| ~ c0_1(X81)
| c2_1(X81)
| ~ ndr1_0
| ~ c3_1(X80)
| ~ c0_1(X80)
| c1_1(X80) ),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
! [X83,X84] :
( ~ c3_1(X84)
| ~ c2_1(X84)
| ~ c0_1(X84)
| ~ ndr1_0
| ~ c0_1(X83)
| c3_1(X83)
| c2_1(X83) ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X92] :
( hskp0
| hskp15
| ~ ndr1_0
| ~ c3_1(X92)
| ~ c0_1(X92)
| c2_1(X92) ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X94] :
( hskp21
| hskp12
| ~ ndr1_0
| ~ c2_1(X94)
| ~ c0_1(X94)
| c3_1(X94) ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X97] :
( hskp21
| hskp14
| ~ ndr1_0
| ~ c2_1(X97)
| ~ c0_1(X97)
| c3_1(X97) ),
inference(cnf_transformation,[],[f5]) ).
fof(f66,plain,
! [X101,X102] :
( hskp14
| ~ c3_1(X102)
| ~ c2_1(X102)
| ~ c0_1(X102)
| ~ ndr1_0
| ~ c3_1(X101)
| ~ c1_1(X101)
| ~ c0_1(X101) ),
inference(cnf_transformation,[],[f5]) ).
fof(f69,plain,
! [X105] :
( hskp14
| hskp10
| ~ ndr1_0
| ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ),
inference(cnf_transformation,[],[f5]) ).
fof(f71,plain,
( ~ c3_1(a536)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f72,plain,
( c2_1(a536)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
( c0_1(a536)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( ~ c3_1(a537)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( ~ c1_1(a537)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f77,plain,
( c2_1(a537)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ c3_1(a538)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ c2_1(a538)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
( ~ c1_1(a538)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( ~ c2_1(a539)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
( c0_1(a539)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ c2_1(a540)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ c1_1(a540)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
( c3_1(a540)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( c1_1(a544)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
( c0_1(a544)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ c1_1(a546)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( ~ c0_1(a546)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
( c3_1(a546)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ c3_1(a547)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ c0_1(a547)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( c2_1(a548)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( c1_1(a548)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
( ~ c2_1(a549)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( ~ c1_1(a549)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f109,plain,
( ~ c0_1(a549)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ c0_1(a551)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( c3_1(a551)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f113,plain,
( c1_1(a551)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ c2_1(a553)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( c3_1(a553)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f117,plain,
( c1_1(a553)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
( ~ c1_1(a564)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( c3_1(a564)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f121,plain,
( c0_1(a564)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( ~ c2_1(a565)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( c3_1(a565)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
( c0_1(a565)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ c0_1(a566)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( c3_1(a566)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
( c2_1(a566)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( ~ c2_1(a567)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( c1_1(a567)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
( c0_1(a567)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
( ~ c3_1(a576)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( ~ c1_1(a576)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f149,plain,
( c0_1(a576)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ c3_1(a580)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ c0_1(a580)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f153,plain,
( c1_1(a580)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
( ~ c1_1(a582)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f156,plain,
( c3_1(a582)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
( c2_1(a582)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ c2_1(a584)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( ~ c0_1(a584)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
( c3_1(a584)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ c3_1(a587)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ c2_1(a587)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
( ~ c0_1(a587)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ c2_1(a590)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
( c1_1(a590)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ c1_1(a594)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ c0_1(a594)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
( c2_1(a594)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( c3_1(a552)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( c2_1(a552)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( c3_1(a562)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( c2_1(a562)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
( c1_1(a562)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
( c3_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
( c1_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
( c0_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
( ndr1_0
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
( hskp14
| hskp12
| hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
( hskp22
| hskp20
| hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
( hskp6
| hskp24
| hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f207,plain,
( hskp6
| hskp14
| hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f208,plain,
( hskp22
| hskp25
| hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f213,plain,
( hskp23
| hskp22
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
( ~ hskp23
| hskp22
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f218,plain,
( hskp22
| ~ hskp25
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f219,plain,
( hskp6
| ~ hskp14
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f220,plain,
( hskp6
| hskp24
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f223,plain,
( ~ hskp14
| hskp12
| hskp31 ),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f225,plain,
( ~ ndr1_0
| ~ hskp31 ),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f227,plain,
( c1_1(a562)
| hskp30 ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f228,plain,
( ~ c2_1(a562)
| hskp30 ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f229,plain,
( c3_1(a562)
| hskp30 ),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f231,plain,
( ~ c2_1(a552)
| ~ hskp29 ),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f241,plain,
( ~ c2_1(a594)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f242,plain,
( ~ c0_1(a594)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f243,plain,
( ~ c1_1(a594)
| hskp25 ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f245,plain,
( c2_1(a590)
| ~ hskp24 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f247,plain,
( ~ c0_1(a587)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f248,plain,
( c2_1(a587)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f249,plain,
( ~ c3_1(a587)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f251,plain,
( c2_1(a584)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f253,plain,
( ~ c2_1(a582)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f254,plain,
( c3_1(a582)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f255,plain,
( ~ c1_1(a582)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f258,plain,
( c0_1(a576)
| hskp19 ),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f259,plain,
( ~ c1_1(a576)
| hskp19 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f260,plain,
( ~ c3_1(a576)
| hskp19 ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f272,plain,
( c2_1(a567)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f273,plain,
( ~ ndr1_0
| hskp14 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f274,plain,
( ~ c2_1(a566)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f275,plain,
( c3_1(a566)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f276,plain,
( ~ c0_1(a566)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f278,plain,
( c0_1(a565)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f279,plain,
( c3_1(a565)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f280,plain,
( c2_1(a565)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f281,plain,
( ~ ndr1_0
| ~ hskp12 ),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f283,plain,
( c2_1(a553)
| ~ hskp11 ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f286,plain,
( c2_1(a549)
| ~ hskp9 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f288,plain,
( ~ c2_1(a548)
| ~ hskp8 ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f293,plain,
( c0_1(a544)
| hskp5 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f294,plain,
( c1_1(a544)
| hskp5 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f297,plain,
( c2_1(a540)
| ~ hskp4 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f299,plain,
( c2_1(a539)
| ~ hskp3 ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f301,plain,
( c2_1(a538)
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f303,plain,
( ~ c2_1(a537)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f304,plain,
( ~ c1_1(a537)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f305,plain,
( ~ c3_1(a537)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f307,plain,
( ~ c2_1(a536)
| ~ hskp0 ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f309,plain,
! [X105] :
( ~ hskp14
| hskp10
| ndr1_0
| ~ c3_1(X105)
| c2_1(X105)
| ~ c0_1(X105) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f312,plain,
! [X101,X102] :
( ~ hskp14
| ~ c3_1(X102)
| c2_1(X102)
| ~ c0_1(X102)
| ndr1_0
| ~ c3_1(X101)
| ~ c1_1(X101)
| ~ c0_1(X101) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f316,plain,
! [X97] :
( ~ hskp21
| ~ hskp14
| ndr1_0
| c2_1(X97)
| ~ c0_1(X97)
| c3_1(X97) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f319,plain,
! [X94] :
( ~ hskp21
| hskp12
| ndr1_0
| c2_1(X94)
| ~ c0_1(X94)
| c3_1(X94) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f321,plain,
! [X92] :
( hskp0
| hskp15
| ndr1_0
| ~ c3_1(X92)
| ~ c0_1(X92)
| ~ c2_1(X92) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f327,plain,
! [X83,X84] :
( ~ c3_1(X84)
| c2_1(X84)
| ~ c0_1(X84)
| ndr1_0
| ~ c0_1(X83)
| c3_1(X83)
| ~ c2_1(X83) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f328,plain,
! [X82,X80,X81] :
( c2_1(X82)
| ~ c0_1(X82)
| c3_1(X82)
| ~ c3_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81)
| ndr1_0
| ~ c3_1(X80)
| ~ c0_1(X80)
| c1_1(X80) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f331,plain,
! [X74,X75] :
( hskp7
| ~ c1_1(X75)
| ~ c0_1(X75)
| ~ c2_1(X75)
| ndr1_0
| c2_1(X74)
| ~ c0_1(X74)
| c1_1(X74) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f333,plain,
! [X70,X71] :
( ~ hskp19
| ~ c3_1(X71)
| c2_1(X71)
| c1_1(X71)
| ndr1_0
| c2_1(X70)
| ~ c0_1(X70)
| c1_1(X70) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f334,plain,
! [X69] :
( ~ hskp21
| hskp29
| ndr1_0
| c2_1(X69)
| c3_1(X69)
| c1_1(X69) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f336,plain,
! [X66,X67] :
( ~ hskp13
| c2_1(X67)
| ~ c1_1(X67)
| ~ c0_1(X67)
| ndr1_0
| ~ c0_1(X66)
| c3_1(X66)
| c1_1(X66) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f337,plain,
! [X65] :
( hskp9
| ~ hskp19
| ndr1_0
| ~ c3_1(X65)
| ~ c2_1(X65)
| c1_1(X65) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f345,plain,
! [X54,X53] :
( hskp12
| c2_1(X54)
| ~ c1_1(X54)
| ~ c0_1(X54)
| ndr1_0
| ~ c3_1(X53)
| c2_1(X53)
| c0_1(X53) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f346,plain,
! [X51,X52] :
( hskp31
| c2_1(X52)
| ~ c0_1(X52)
| c1_1(X52)
| ndr1_0
| ~ c3_1(X51)
| c2_1(X51)
| c0_1(X51) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f347,plain,
! [X50,X48,X49] :
( ~ c3_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50)
| c2_1(X49)
| c3_1(X49)
| c1_1(X49)
| ndr1_0
| ~ c3_1(X48)
| c2_1(X48)
| c0_1(X48) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f348,plain,
! [X47] :
( ~ hskp30
| hskp0
| ndr1_0
| ~ c3_1(X47)
| ~ c1_1(X47)
| c0_1(X47) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f349,plain,
! [X46,X45] :
( hskp6
| ~ c1_1(X46)
| ~ c0_1(X46)
| ~ c2_1(X46)
| ndr1_0
| ~ c3_1(X45)
| ~ c1_1(X45)
| c0_1(X45) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f350,plain,
! [X44] :
( hskp9
| hskp10
| ndr1_0
| c2_1(X44)
| ~ c1_1(X44)
| c0_1(X44) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f351,plain,
! [X42,X43] :
( hskp0
| ~ c3_1(X43)
| c2_1(X43)
| ~ c0_1(X43)
| ndr1_0
| c2_1(X42)
| c3_1(X42)
| c0_1(X42) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f352,plain,
! [X41] :
( hskp9
| hskp11
| ndr1_0
| ~ c1_1(X41)
| c3_1(X41)
| c0_1(X41) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f356,plain,
! [X34] :
( hskp10
| hskp8
| ndr1_0
| ~ c1_1(X34)
| ~ c2_1(X34)
| c0_1(X34) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f357,plain,
! [X31,X32,X33] :
( ~ c3_1(X33)
| c2_1(X33)
| ~ c1_1(X33)
| ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32)
| ndr1_0
| ~ c1_1(X31)
| ~ c2_1(X31)
| c0_1(X31) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f358,plain,
! [X28,X29,X30] :
( ~ c0_1(X30)
| c3_1(X30)
| c1_1(X30)
| ~ c3_1(X29)
| ~ c2_1(X29)
| c0_1(X29)
| ndr1_0
| ~ c1_1(X28)
| ~ c2_1(X28)
| c0_1(X28) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f361,plain,
! [X24,X22,X23] :
( ~ c3_1(X24)
| ~ c1_1(X24)
| ~ c0_1(X24)
| ~ c1_1(X23)
| ~ c0_1(X23)
| ~ c2_1(X23)
| ndr1_0
| c3_1(X22)
| ~ c2_1(X22)
| c0_1(X22) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f363,plain,
! [X19] :
( hskp2
| ~ hskp5
| ndr1_0
| ~ c3_1(X19)
| c1_1(X19)
| c0_1(X19) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f364,plain,
! [X18,X17] :
( ~ hskp1
| c2_1(X18)
| ~ c1_1(X18)
| ~ c0_1(X18)
| ndr1_0
| ~ c3_1(X17)
| c1_1(X17)
| c0_1(X17) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f365,plain,
! [X16,X14,X15] :
( ~ c3_1(X16)
| c2_1(X16)
| c0_1(X16)
| ~ c3_1(X15)
| c1_1(X15)
| c0_1(X15)
| ndr1_0
| c2_1(X14)
| c1_1(X14)
| c0_1(X14) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f367,plain,
! [X11,X12] :
( hskp4
| ~ c3_1(X12)
| ~ c0_1(X12)
| ~ c2_1(X12)
| ndr1_0
| c3_1(X11)
| c1_1(X11)
| c0_1(X11) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f369,plain,
! [X6,X7] :
( hskp3
| ~ c3_1(X7)
| ~ c2_1(X7)
| c1_1(X7)
| ndr1_0
| c3_1(X6)
| c1_1(X6)
| c0_1(X6) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f371,plain,
! [X2,X3] :
( ~ hskp1
| ~ c3_1(X3)
| ~ c0_1(X3)
| c1_1(X3)
| ndr1_0
| ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f372,plain,
! [X0,X1] :
( hskp0
| ~ c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ndr1_0
| ~ c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f374,definition,
( spl0_1
<=> ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f377,definition,
( spl0_2
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f381,definition,
( spl0_3
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f382,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f384,definition,
( spl0_4
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f387,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f372,f384,f381,f377,f374]) ).
fof(f389,definition,
( spl0_5
<=> ! [X3] :
( ~ c3_1(X3)
| c1_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f390,plain,
( ! [X3] :
( ~ c3_1(X3)
| c1_1(X3)
| ~ c0_1(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,definition,
( spl0_6
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f395,plain,
( spl0_1
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f371,f392,f389,f377,f374]) ).
fof(f397,definition,
( spl0_7
<=> ! [X5] :
( c2_1(X5)
| ~ c0_1(X5)
| ~ c1_1(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f398,plain,
( ! [X5] :
( ~ c1_1(X5)
| ~ c0_1(X5)
| c2_1(X5) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl0_8
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f405,definition,
( spl0_9
<=> ! [X6] :
( c3_1(X6)
| c0_1(X6)
| c1_1(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f406,plain,
( ! [X6] :
( c1_1(X6)
| c0_1(X6)
| c3_1(X6) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,definition,
( spl0_10
<=> ! [X7] :
( ~ c3_1(X7)
| c1_1(X7)
| ~ c2_1(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f409,plain,
( ! [X7] :
( ~ c3_1(X7)
| c1_1(X7)
| ~ c2_1(X7) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,definition,
( spl0_11
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f414,plain,
( spl0_9
| spl0_2
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f369,f411,f408,f377,f405]) ).
fof(f416,definition,
( spl0_12
<=> ! [X9] :
( ~ c0_1(X9)
| c1_1(X9)
| c3_1(X9) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f417,plain,
( ! [X9] :
( ~ c0_1(X9)
| c1_1(X9)
| c3_1(X9) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,definition,
( spl0_13
<=> ! [X10] :
( ~ c1_1(X10)
| ~ c2_1(X10)
| ~ c0_1(X10) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f420,plain,
( ! [X10] :
( ~ c1_1(X10)
| ~ c2_1(X10)
| ~ c0_1(X10) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f423,definition,
( spl0_14
<=> ! [X12] :
( ~ c3_1(X12)
| ~ c2_1(X12)
| ~ c0_1(X12) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f424,plain,
( ! [X12] :
( ~ c2_1(X12)
| ~ c3_1(X12)
| ~ c0_1(X12) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f426,definition,
( spl0_15
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f429,plain,
( spl0_9
| spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f367,f426,f423,f377,f405]) ).
fof(f436,definition,
( spl0_17
<=> ! [X14] :
( c2_1(X14)
| c0_1(X14)
| c1_1(X14) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f437,plain,
( ! [X14] :
( c1_1(X14)
| c0_1(X14)
| c2_1(X14) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl0_18
<=> ! [X16] :
( ~ c3_1(X16)
| c0_1(X16)
| c2_1(X16) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f440,plain,
( ! [X16] :
( ~ c3_1(X16)
| c0_1(X16)
| c2_1(X16) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl0_17
| spl0_2
| spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f365,f439,f381,f377,f436]) ).
fof(f442,plain,
( spl0_3
| spl0_2
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f364,f392,f397,f377,f381]) ).
fof(f444,definition,
( spl0_19
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f447,plain,
( spl0_3
| spl0_2
| ~ spl0_19
| spl0_8 ),
inference(avatar_split_clause,[],[f363,f400,f444,f377,f381]) ).
fof(f449,definition,
( spl0_20
<=> ! [X20] :
( c3_1(X20)
| c0_1(X20)
| ~ c2_1(X20) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f450,plain,
( ! [X20] :
( c3_1(X20)
| c0_1(X20)
| ~ c2_1(X20) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,definition,
( spl0_21
<=> ! [X21] :
( c2_1(X21)
| c1_1(X21)
| ~ c0_1(X21) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f453,plain,
( ! [X21] :
( ~ c0_1(X21)
| c1_1(X21)
| c2_1(X21) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,definition,
( spl0_22
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f460,definition,
( spl0_23
<=> ! [X24] :
( ~ c3_1(X24)
| ~ c0_1(X24)
| ~ c1_1(X24) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f461,plain,
( ! [X24] :
( ~ c1_1(X24)
| ~ c0_1(X24)
| ~ c3_1(X24) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( spl0_20
| spl0_2
| spl0_13
| spl0_23 ),
inference(avatar_split_clause,[],[f361,f460,f419,f377,f449]) ).
fof(f464,definition,
( spl0_24
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f469,definition,
( spl0_25
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f473,definition,
( spl0_26
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f478,definition,
( spl0_27
<=> ! [X28] :
( ~ c1_1(X28)
| c0_1(X28)
| ~ c2_1(X28) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f479,plain,
( ! [X28] :
( ~ c1_1(X28)
| c0_1(X28)
| ~ c2_1(X28) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f481,definition,
( spl0_28
<=> ! [X29] :
( ~ c3_1(X29)
| c0_1(X29)
| ~ c2_1(X29) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f482,plain,
( ! [X29] :
( ~ c3_1(X29)
| c0_1(X29)
| ~ c2_1(X29) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( spl0_27
| spl0_2
| spl0_28
| spl0_12 ),
inference(avatar_split_clause,[],[f358,f416,f481,f377,f478]) ).
fof(f485,definition,
( spl0_29
<=> ! [X33] :
( ~ c3_1(X33)
| ~ c1_1(X33)
| c2_1(X33) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f486,plain,
( ! [X33] :
( ~ c3_1(X33)
| ~ c1_1(X33)
| c2_1(X33) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( spl0_27
| spl0_2
| spl0_18
| spl0_29 ),
inference(avatar_split_clause,[],[f357,f485,f439,f377,f478]) ).
fof(f489,definition,
( spl0_30
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f492,plain,
( spl0_27
| spl0_2
| spl0_25
| spl0_30 ),
inference(avatar_split_clause,[],[f356,f489,f469,f377,f478]) ).
fof(f494,definition,
( spl0_31
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f498,definition,
( spl0_32
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f503,definition,
( spl0_33
<=> ! [X36] :
( ~ c1_1(X36)
| c0_1(X36)
| c3_1(X36) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f504,plain,
( ! [X36] :
( ~ c1_1(X36)
| c0_1(X36)
| c3_1(X36) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f507,definition,
( spl0_34
<=> ! [X40] :
( ~ c3_1(X40)
| ~ c0_1(X40)
| c2_1(X40) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f508,plain,
( ! [X40] :
( ~ c0_1(X40)
| ~ c3_1(X40)
| c2_1(X40) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f510,plain,
( spl0_33
| spl0_2
| spl0_32
| spl0_26 ),
inference(avatar_split_clause,[],[f352,f473,f498,f377,f503]) ).
fof(f512,definition,
( spl0_35
<=> ! [X42] :
( c2_1(X42)
| c0_1(X42)
| c3_1(X42) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f513,plain,
( ! [X42] :
( c2_1(X42)
| c0_1(X42)
| c3_1(X42) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f514,plain,
( spl0_35
| spl0_2
| spl0_34
| spl0_4 ),
inference(avatar_split_clause,[],[f351,f384,f507,f377,f512]) ).
fof(f516,definition,
( spl0_36
<=> ! [X44] :
( c2_1(X44)
| c0_1(X44)
| ~ c1_1(X44) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f517,plain,
( ! [X44] :
( c2_1(X44)
| c0_1(X44)
| ~ c1_1(X44) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f518,plain,
( spl0_36
| spl0_2
| spl0_30
| spl0_26 ),
inference(avatar_split_clause,[],[f350,f473,f489,f377,f516]) ).
fof(f520,definition,
( spl0_37
<=> ! [X45] :
( ~ c3_1(X45)
| c0_1(X45)
| ~ c1_1(X45) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f521,plain,
( ! [X45] :
( ~ c3_1(X45)
| c0_1(X45)
| ~ c1_1(X45) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( spl0_37
| spl0_2
| spl0_13
| spl0_22 ),
inference(avatar_split_clause,[],[f349,f455,f419,f377,f520]) ).
fof(f524,definition,
( spl0_38
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f527,plain,
( spl0_37
| spl0_2
| spl0_4
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f348,f524,f384,f377,f520]) ).
fof(f529,definition,
( spl0_39
<=> ! [X49] :
( c2_1(X49)
| c1_1(X49)
| c3_1(X49) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f530,plain,
( ! [X49] :
( c1_1(X49)
| c2_1(X49)
| c3_1(X49) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( spl0_18
| spl0_2
| spl0_39
| spl0_14 ),
inference(avatar_split_clause,[],[f347,f423,f529,f377,f439]) ).
fof(f533,definition,
( spl0_40
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f536,plain,
( spl0_18
| spl0_2
| spl0_21
| spl0_40 ),
inference(avatar_split_clause,[],[f346,f533,f452,f377,f439]) ).
fof(f538,definition,
( spl0_41
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f541,plain,
( spl0_18
| spl0_2
| spl0_7
| spl0_41 ),
inference(avatar_split_clause,[],[f345,f538,f397,f377,f439]) ).
fof(f543,definition,
( spl0_42
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f547,definition,
( spl0_43
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f555,definition,
( spl0_45
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f586,definition,
( spl0_52
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f589,plain,
( spl0_10
| spl0_2
| ~ spl0_52
| spl0_26 ),
inference(avatar_split_clause,[],[f337,f473,f586,f377,f408]) ).
fof(f590,plain,
( spl0_12
| spl0_2
| spl0_7
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f336,f543,f397,f377,f416]) ).
fof(f592,definition,
( spl0_53
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f597,definition,
( spl0_54
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f600,plain,
( spl0_39
| spl0_2
| spl0_31
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f334,f597,f494,f377,f529]) ).
fof(f602,definition,
( spl0_55
<=> ! [X71] :
( ~ c3_1(X71)
| c1_1(X71)
| c2_1(X71) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f603,plain,
( ! [X71] :
( ~ c3_1(X71)
| c1_1(X71)
| c2_1(X71) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( spl0_21
| spl0_2
| spl0_55
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f333,f586,f602,f377,f452]) ).
fof(f609,definition,
( spl0_57
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f613,plain,
( spl0_21
| spl0_2
| spl0_13
| spl0_24 ),
inference(avatar_split_clause,[],[f331,f464,f419,f377,f452]) ).
fof(f619,definition,
( spl0_59
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f624,definition,
( spl0_60
<=> ! [X82] :
( c2_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f625,plain,
( ! [X82] :
( ~ c0_1(X82)
| c3_1(X82)
| c2_1(X82) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
( spl0_5
| spl0_2
| spl0_14
| spl0_60 ),
inference(avatar_split_clause,[],[f328,f624,f423,f377,f389]) ).
fof(f628,definition,
( spl0_61
<=> ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| c3_1(X83) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f629,plain,
( ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| c3_1(X83) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( spl0_61
| spl0_2
| spl0_34 ),
inference(avatar_split_clause,[],[f327,f507,f377,f628]) ).
fof(f633,definition,
( spl0_62
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f640,definition,
( spl0_63
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f644,plain,
( spl0_14
| spl0_2
| spl0_45
| spl0_4 ),
inference(avatar_split_clause,[],[f321,f384,f555,f377,f423]) ).
fof(f646,plain,
( spl0_60
| spl0_2
| spl0_41
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f319,f597,f538,f377,f624]) ).
fof(f653,plain,
( spl0_60
| spl0_2
| ~ spl0_43
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f316,f597,f547,f377,f624]) ).
fof(f657,plain,
( spl0_23
| spl0_2
| spl0_34
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f312,f547,f507,f377,f460]) ).
fof(f664,plain,
( spl0_34
| spl0_2
| spl0_30
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f309,f547,f489,f377,f507]) ).
fof(f667,definition,
( spl0_66
<=> c3_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f670,plain,
( ~ spl0_4
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f71,f667,f384]) ).
fof(f672,definition,
( spl0_67
<=> c2_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f674,plain,
( ~ c2_1(a536)
| spl0_67 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( ~ spl0_4
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f307,f672,f384]) ).
fof(f677,definition,
( spl0_68
<=> c0_1(a536) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f679,plain,
( c0_1(a536)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f680,plain,
( ~ spl0_4
| spl0_68 ),
inference(avatar_split_clause,[],[f73,f677,f384]) ).
fof(f683,definition,
( spl0_69
<=> c3_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f685,plain,
( ~ c3_1(a537)
| spl0_69 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,plain,
( spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f305,f683,f392]) ).
fof(f688,definition,
( spl0_70
<=> c1_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f690,plain,
( ~ c1_1(a537)
| spl0_70 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
( spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f304,f688,f392]) ).
fof(f693,definition,
( spl0_71
<=> c2_1(a537) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f696,plain,
( spl0_6
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f303,f693,f392]) ).
fof(f699,definition,
( spl0_72
<=> c3_1(a538) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f702,plain,
( ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f79,f699,f400]) ).
fof(f704,definition,
( spl0_73
<=> c2_1(a538) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f706,plain,
( c2_1(a538)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f707,plain,
( ~ spl0_8
| spl0_73 ),
inference(avatar_split_clause,[],[f301,f704,f400]) ).
fof(f709,definition,
( spl0_74
<=> c1_1(a538) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f711,plain,
( ~ c1_1(a538)
| spl0_74 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( ~ spl0_8
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f81,f709,f400]) ).
fof(f720,definition,
( spl0_76
<=> c2_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f722,plain,
( c2_1(a539)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( ~ spl0_11
| spl0_76 ),
inference(avatar_split_clause,[],[f299,f720,f411]) ).
fof(f725,definition,
( spl0_77
<=> c0_1(a539) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f728,plain,
( ~ spl0_11
| spl0_77 ),
inference(avatar_split_clause,[],[f85,f725,f411]) ).
fof(f731,definition,
( spl0_78
<=> c2_1(a540) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f733,plain,
( c2_1(a540)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( ~ spl0_15
| spl0_78 ),
inference(avatar_split_clause,[],[f297,f731,f426]) ).
fof(f736,definition,
( spl0_79
<=> c1_1(a540) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f738,plain,
( ~ c1_1(a540)
| spl0_79 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f739,plain,
( ~ spl0_15
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f88,f736,f426]) ).
fof(f741,definition,
( spl0_80
<=> c3_1(a540) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f743,plain,
( c3_1(a540)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f744,plain,
( ~ spl0_15
| spl0_80 ),
inference(avatar_split_clause,[],[f89,f741,f426]) ).
fof(f752,definition,
( spl0_82
<=> c1_1(a544) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f754,plain,
( c1_1(a544)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f755,plain,
( spl0_19
| spl0_82 ),
inference(avatar_split_clause,[],[f294,f752,f444]) ).
fof(f757,definition,
( spl0_83
<=> c0_1(a544) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f759,plain,
( c0_1(a544)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f760,plain,
( spl0_19
| spl0_83 ),
inference(avatar_split_clause,[],[f293,f757,f444]) ).
fof(f763,definition,
( spl0_84
<=> c1_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f765,plain,
( ~ c1_1(a546)
| spl0_84 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f766,plain,
( ~ spl0_22
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f95,f763,f455]) ).
fof(f768,definition,
( spl0_85
<=> c0_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f770,plain,
( ~ c0_1(a546)
| spl0_85 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,plain,
( ~ spl0_22
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f96,f768,f455]) ).
fof(f773,definition,
( spl0_86
<=> c3_1(a546) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f775,plain,
( c3_1(a546)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f776,plain,
( ~ spl0_22
| spl0_86 ),
inference(avatar_split_clause,[],[f97,f773,f455]) ).
fof(f779,definition,
( spl0_87
<=> c3_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f781,plain,
( ~ c3_1(a547)
| spl0_87 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( ~ spl0_24
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f99,f779,f464]) ).
fof(f784,definition,
( spl0_88
<=> c0_1(a547) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f787,plain,
( ~ spl0_24
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f100,f784,f464]) ).
fof(f800,definition,
( spl0_91
<=> c2_1(a548) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f802,plain,
( ~ c2_1(a548)
| spl0_91 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( ~ spl0_25
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f288,f800,f469]) ).
fof(f805,definition,
( spl0_92
<=> c1_1(a548) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f807,plain,
( c1_1(a548)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( ~ spl0_25
| spl0_92 ),
inference(avatar_split_clause,[],[f105,f805,f469]) ).
fof(f811,definition,
( spl0_93
<=> c2_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f813,plain,
( c2_1(a549)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f814,plain,
( ~ spl0_26
| spl0_93 ),
inference(avatar_split_clause,[],[f286,f811,f473]) ).
fof(f816,definition,
( spl0_94
<=> c1_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f818,plain,
( ~ c1_1(a549)
| spl0_94 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f819,plain,
( ~ spl0_26
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f108,f816,f473]) ).
fof(f821,definition,
( spl0_95
<=> c0_1(a549) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f824,plain,
( ~ spl0_26
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f109,f821,f473]) ).
fof(f827,definition,
( spl0_96
<=> c0_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f829,plain,
( ~ c0_1(a551)
| spl0_96 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
( ~ spl0_30
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f111,f827,f489]) ).
fof(f832,definition,
( spl0_97
<=> c3_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f834,plain,
( c3_1(a551)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f835,plain,
( ~ spl0_30
| spl0_97 ),
inference(avatar_split_clause,[],[f112,f832,f489]) ).
fof(f837,definition,
( spl0_98
<=> c1_1(a551) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f839,plain,
( c1_1(a551)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f840,plain,
( ~ spl0_30
| spl0_98 ),
inference(avatar_split_clause,[],[f113,f837,f489]) ).
fof(f843,definition,
( spl0_99
<=> c2_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f845,plain,
( c2_1(a553)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,plain,
( ~ spl0_32
| spl0_99 ),
inference(avatar_split_clause,[],[f283,f843,f498]) ).
fof(f848,definition,
( spl0_100
<=> c3_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f850,plain,
( c3_1(a553)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f851,plain,
( ~ spl0_32
| spl0_100 ),
inference(avatar_split_clause,[],[f116,f848,f498]) ).
fof(f853,definition,
( spl0_101
<=> c1_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f855,plain,
( c1_1(a553)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,plain,
( ~ spl0_32
| spl0_101 ),
inference(avatar_split_clause,[],[f117,f853,f498]) ).
fof(f859,definition,
( spl0_102
<=> c1_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f861,plain,
( ~ c1_1(a564)
| spl0_102 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f862,plain,
( ~ spl0_41
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f119,f859,f538]) ).
fof(f864,definition,
( spl0_103
<=> c3_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f866,plain,
( c3_1(a564)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f867,plain,
( ~ spl0_41
| spl0_103 ),
inference(avatar_split_clause,[],[f120,f864,f538]) ).
fof(f869,definition,
( spl0_104
<=> c0_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f871,plain,
( c0_1(a564)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( ~ spl0_41
| spl0_104 ),
inference(avatar_split_clause,[],[f121,f869,f538]) ).
fof(f873,plain,
( ~ spl0_41
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f281,f377,f538]) ).
fof(f875,definition,
( spl0_105
<=> c2_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f877,plain,
( c2_1(a565)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f878,plain,
( spl0_42
| spl0_105 ),
inference(avatar_split_clause,[],[f280,f875,f543]) ).
fof(f880,definition,
( spl0_106
<=> c3_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f883,plain,
( spl0_42
| spl0_106 ),
inference(avatar_split_clause,[],[f279,f880,f543]) ).
fof(f885,definition,
( spl0_107
<=> c0_1(a565) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f887,plain,
( c0_1(a565)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f888,plain,
( spl0_42
| spl0_107 ),
inference(avatar_split_clause,[],[f278,f885,f543]) ).
fof(f891,definition,
( spl0_108
<=> c0_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f893,plain,
( ~ c0_1(a566)
| spl0_108 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,plain,
( spl0_43
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f276,f891,f547]) ).
fof(f896,definition,
( spl0_109
<=> c3_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f898,plain,
( c3_1(a566)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f899,plain,
( spl0_43
| spl0_109 ),
inference(avatar_split_clause,[],[f275,f896,f547]) ).
fof(f901,definition,
( spl0_110
<=> c2_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f903,plain,
( ~ c2_1(a566)
| spl0_110 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f904,plain,
( spl0_43
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f274,f901,f547]) ).
fof(f905,plain,
( spl0_43
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f273,f377,f547]) ).
fof(f907,definition,
( spl0_111
<=> c2_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f909,plain,
( c2_1(a567)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl0_45
| spl0_111 ),
inference(avatar_split_clause,[],[f272,f907,f555]) ).
fof(f912,definition,
( spl0_112
<=> c1_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f914,plain,
( c1_1(a567)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f915,plain,
( ~ spl0_45
| spl0_112 ),
inference(avatar_split_clause,[],[f132,f912,f555]) ).
fof(f917,definition,
( spl0_113
<=> c0_1(a567) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f920,plain,
( ~ spl0_45
| spl0_113 ),
inference(avatar_split_clause,[],[f133,f917,f555]) ).
fof(f971,definition,
( spl0_123
<=> c3_1(a576) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f973,plain,
( ~ c3_1(a576)
| spl0_123 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f974,plain,
( spl0_52
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f260,f971,f586]) ).
fof(f976,definition,
( spl0_124
<=> c1_1(a576) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f979,plain,
( spl0_52
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f259,f976,f586]) ).
fof(f981,definition,
( spl0_125
<=> c0_1(a576) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f983,plain,
( c0_1(a576)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f984,plain,
( spl0_52
| spl0_125 ),
inference(avatar_split_clause,[],[f258,f981,f586]) ).
fof(f987,definition,
( spl0_126
<=> c3_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f989,plain,
( ~ c3_1(a580)
| spl0_126 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f990,plain,
( ~ spl0_53
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f151,f987,f592]) ).
fof(f992,definition,
( spl0_127
<=> c0_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f995,plain,
( ~ spl0_53
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f152,f992,f592]) ).
fof(f997,definition,
( spl0_128
<=> c1_1(a580) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f999,plain,
( c1_1(a580)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1000,plain,
( ~ spl0_53
| spl0_128 ),
inference(avatar_split_clause,[],[f153,f997,f592]) ).
fof(f1003,definition,
( spl0_129
<=> c1_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1005,plain,
( ~ c1_1(a582)
| spl0_129 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( spl0_54
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f255,f1003,f597]) ).
fof(f1008,definition,
( spl0_130
<=> c3_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1010,plain,
( c3_1(a582)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1011,plain,
( spl0_54
| spl0_130 ),
inference(avatar_split_clause,[],[f254,f1008,f597]) ).
fof(f1013,definition,
( spl0_131
<=> c2_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1015,plain,
( ~ c2_1(a582)
| spl0_131 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1016,plain,
( spl0_54
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f253,f1013,f597]) ).
fof(f1019,definition,
( spl0_132
<=> c2_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f1021,plain,
( c2_1(a584)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1022,plain,
( ~ spl0_57
| spl0_132 ),
inference(avatar_split_clause,[],[f251,f1019,f609]) ).
fof(f1024,definition,
( spl0_133
<=> c0_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f1026,plain,
( ~ c0_1(a584)
| spl0_133 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1027,plain,
( ~ spl0_57
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f160,f1024,f609]) ).
fof(f1029,definition,
( spl0_134
<=> c3_1(a584) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1031,plain,
( c3_1(a584)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1032,plain,
( ~ spl0_57
| spl0_134 ),
inference(avatar_split_clause,[],[f161,f1029,f609]) ).
fof(f1035,definition,
( spl0_135
<=> c3_1(a587) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1037,plain,
( ~ c3_1(a587)
| spl0_135 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1038,plain,
( spl0_59
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f249,f1035,f619]) ).
fof(f1040,definition,
( spl0_136
<=> c2_1(a587) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1042,plain,
( c2_1(a587)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1043,plain,
( spl0_59
| spl0_136 ),
inference(avatar_split_clause,[],[f248,f1040,f619]) ).
fof(f1045,definition,
( spl0_137
<=> c0_1(a587) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1047,plain,
( ~ c0_1(a587)
| spl0_137 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1048,plain,
( spl0_59
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f247,f1045,f619]) ).
fof(f1051,definition,
( spl0_138
<=> c2_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1054,plain,
( ~ spl0_62
| spl0_138 ),
inference(avatar_split_clause,[],[f245,f1051,f633]) ).
fof(f1061,definition,
( spl0_140
<=> c1_1(a590) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1063,plain,
( c1_1(a590)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1064,plain,
( ~ spl0_62
| spl0_140 ),
inference(avatar_split_clause,[],[f169,f1061,f633]) ).
fof(f1067,definition,
( spl0_141
<=> c1_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1069,plain,
( ~ c1_1(a594)
| spl0_141 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( spl0_63
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f243,f1067,f640]) ).
fof(f1072,definition,
( spl0_142
<=> c0_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1074,plain,
( ~ c0_1(a594)
| spl0_142 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1075,plain,
( spl0_63
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f242,f1072,f640]) ).
fof(f1077,definition,
( spl0_143
<=> c2_1(a594) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1079,plain,
( ~ c2_1(a594)
| spl0_143 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1080,plain,
( spl0_63
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f241,f1077,f640]) ).
fof(f1131,definition,
( spl0_153
<=> c3_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1133,plain,
( c3_1(a552)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1134,plain,
( ~ spl0_31
| spl0_153 ),
inference(avatar_split_clause,[],[f187,f1131,f494]) ).
fof(f1136,definition,
( spl0_154
<=> c2_1(a552) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1139,plain,
( ~ spl0_31
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f231,f1136,f494]) ).
fof(f1147,definition,
( spl0_156
<=> c3_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1149,plain,
( c3_1(a562)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1150,plain,
( spl0_38
| spl0_156 ),
inference(avatar_split_clause,[],[f229,f1147,f524]) ).
fof(f1152,definition,
( spl0_157
<=> c2_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1155,plain,
( spl0_38
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f228,f1152,f524]) ).
fof(f1157,definition,
( spl0_158
<=> c1_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1159,plain,
( c1_1(a562)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1160,plain,
( spl0_38
| spl0_158 ),
inference(avatar_split_clause,[],[f227,f1157,f524]) ).
fof(f1163,definition,
( spl0_159
<=> c3_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1165,plain,
( c3_1(a563)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1166,plain,
( ~ spl0_40
| spl0_159 ),
inference(avatar_split_clause,[],[f195,f1163,f533]) ).
fof(f1168,definition,
( spl0_160
<=> c1_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1170,plain,
( c1_1(a563)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1171,plain,
( ~ spl0_40
| spl0_160 ),
inference(avatar_split_clause,[],[f196,f1168,f533]) ).
fof(f1173,definition,
( spl0_161
<=> c0_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1175,plain,
( c0_1(a563)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1176,plain,
( ~ spl0_40
| spl0_161 ),
inference(avatar_split_clause,[],[f197,f1173,f533]) ).
fof(f1177,plain,
( ~ spl0_40
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f225,f377,f533]) ).
fof(f1179,plain,
( spl0_40
| spl0_41
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f223,f547,f538,f533]) ).
fof(f1181,plain,
( spl0_40
| spl0_53
| spl0_57 ),
inference(avatar_split_clause,[],[f202,f609,f592,f533]) ).
fof(f1185,plain,
( ~ spl0_42
| spl0_62
| spl0_22 ),
inference(avatar_split_clause,[],[f220,f455,f633,f543]) ).
fof(f1186,plain,
( ~ spl0_42
| ~ spl0_43
| spl0_22 ),
inference(avatar_split_clause,[],[f219,f455,f547,f543]) ).
fof(f1187,plain,
( ~ spl0_42
| ~ spl0_63
| spl0_57 ),
inference(avatar_split_clause,[],[f218,f609,f640,f543]) ).
fof(f1192,plain,
( ~ spl0_54
| spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f214,f619,f609,f597]) ).
fof(f1193,plain,
( c0_1(a546)
| c1_1(a546)
| ~ spl0_3
| ~ spl0_86 ),
inference(resolution,[],[f382,f775]) ).
fof(f1224,plain,
( ! [X10] :
( ~ c1_1(X10)
| ~ c0_1(X10) )
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f420,f398]) ).
fof(f1234,definition,
( spl0_162
<=> c1_1(a566) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1239,plain,
( ~ c2_1(a567)
| ~ c0_1(a567)
| ~ spl0_13
| ~ spl0_112 ),
inference(resolution,[],[f420,f914]) ).
fof(f1241,plain,
( ~ c0_1(a567)
| ~ spl0_13
| ~ spl0_111
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1239,f909]) ).
fof(f1252,plain,
( c0_1(a538)
| c3_1(a538)
| ~ spl0_9
| spl0_74 ),
inference(resolution,[],[f406,f711]) ).
fof(f1263,plain,
( ~ c3_1(a565)
| ~ c0_1(a565)
| ~ spl0_14
| ~ spl0_105 ),
inference(resolution,[],[f424,f877]) ).
fof(f1270,plain,
( c0_1(a546)
| c2_1(a546)
| ~ spl0_18
| ~ spl0_86 ),
inference(resolution,[],[f440,f775]) ).
fof(f1271,plain,
( c0_1(a551)
| c2_1(a551)
| ~ spl0_18
| ~ spl0_97 ),
inference(resolution,[],[f440,f834]) ).
fof(f1274,plain,
( c0_1(a566)
| c2_1(a566)
| ~ spl0_18
| ~ spl0_109 ),
inference(resolution,[],[f440,f898]) ).
fof(f1276,plain,
( c0_1(a582)
| c2_1(a582)
| ~ spl0_18
| ~ spl0_130 ),
inference(resolution,[],[f440,f1010]) ).
fof(f1279,plain,
( c0_1(a582)
| ~ spl0_18
| ~ spl0_130
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f1276,f1015]) ).
fof(f1281,plain,
( c2_1(a566)
| ~ spl0_18
| spl0_108
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1274,f893]) ).
fof(f1282,plain,
( c2_1(a551)
| ~ spl0_18
| spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1271,f829]) ).
fof(f1283,plain,
( c2_1(a546)
| ~ spl0_18
| spl0_85
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1270,f770]) ).
fof(f1290,plain,
( ~ spl0_113
| ~ spl0_13
| ~ spl0_111
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1241,f912,f907,f419,f917]) ).
fof(f1291,plain,
( spl0_110
| ~ spl0_18
| spl0_108
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1281,f896,f891,f439,f901]) ).
fof(f1303,plain,
( c0_1(a587)
| ~ c2_1(a587)
| ~ spl0_20
| spl0_135 ),
inference(resolution,[],[f450,f1037]) ).
fof(f1320,plain,
( ! [X29] :
( ~ c3_1(X29)
| c0_1(X29) )
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f482,f440]) ).
fof(f1323,plain,
( c0_1(a551)
| ~ spl0_18
| ~ spl0_28
| ~ spl0_97 ),
inference(resolution,[],[f1320,f834]) ).
fof(f1333,plain,
( $false
| ~ spl0_18
| ~ spl0_28
| spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1323,f829]) ).
fof(f1334,plain,
( ~ spl0_18
| ~ spl0_28
| spl0_96
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1343,plain,
( c0_1(a549)
| ~ c2_1(a549)
| ~ spl0_1
| spl0_94 ),
inference(resolution,[],[f375,f818]) ).
fof(f1374,plain,
( c0_1(a549)
| ~ spl0_1
| ~ spl0_93
| spl0_94 ),
inference(forward_subsumption_resolution,[],[f1343,f813]) ).
fof(f1380,plain,
( spl0_95
| ~ spl0_1
| ~ spl0_93
| spl0_94 ),
inference(avatar_split_clause,[],[f1374,f816,f811,f374,f821]) ).
fof(f1395,plain,
( c1_1(a540)
| ~ c2_1(a540)
| ~ spl0_10
| ~ spl0_80 ),
inference(resolution,[],[f409,f743]) ).
fof(f1396,plain,
( c1_1(a546)
| ~ c2_1(a546)
| ~ spl0_10
| ~ spl0_86 ),
inference(resolution,[],[f409,f775]) ).
fof(f1398,plain,
( c1_1(a564)
| ~ c2_1(a564)
| ~ spl0_10
| ~ spl0_103 ),
inference(resolution,[],[f409,f866]) ).
fof(f1408,plain,
( ~ c2_1(a540)
| ~ spl0_10
| spl0_79
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f1395,f738]) ).
fof(f1409,plain,
( $false
| ~ spl0_10
| ~ spl0_78
| spl0_79
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f1408,f733]) ).
fof(f1410,plain,
( ~ spl0_10
| ~ spl0_78
| spl0_79
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1447,plain,
( c1_1(a564)
| c2_1(a564)
| ~ spl0_21
| ~ spl0_104 ),
inference(resolution,[],[f453,f871]) ).
fof(f1450,plain,
( c1_1(a582)
| c2_1(a582)
| ~ spl0_18
| ~ spl0_21
| ~ spl0_130
| spl0_131 ),
inference(resolution,[],[f453,f1279]) ).
fof(f1456,plain,
( c2_1(a564)
| ~ spl0_21
| spl0_102
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1447,f861]) ).
fof(f1462,definition,
( spl0_164
<=> c0_1(a582) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1463,plain,
( ~ c0_1(a582)
| spl0_164 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1464,plain,
( c0_1(a582)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1479,plain,
( ! [X28] :
( ~ c2_1(X28)
| c0_1(X28) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f479,f375]) ).
fof(f1485,plain,
( c0_1(a551)
| ~ spl0_1
| ~ spl0_18
| ~ spl0_27
| spl0_96
| ~ spl0_97 ),
inference(resolution,[],[f1479,f1282]) ).
fof(f1490,plain,
( c0_1(a584)
| ~ spl0_1
| ~ spl0_27
| ~ spl0_132 ),
inference(resolution,[],[f1479,f1021]) ).
fof(f1491,plain,
( c0_1(a587)
| ~ spl0_1
| ~ spl0_27
| ~ spl0_136 ),
inference(resolution,[],[f1479,f1042]) ).
fof(f1497,plain,
( $false
| ~ spl0_1
| ~ spl0_27
| ~ spl0_132
| spl0_133 ),
inference(forward_subsumption_resolution,[],[f1490,f1026]) ).
fof(f1498,plain,
( ~ spl0_1
| ~ spl0_27
| ~ spl0_132
| spl0_133 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1504,plain,
( $false
| ~ spl0_1
| ~ spl0_18
| ~ spl0_27
| spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1485,f829]) ).
fof(f1505,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_27
| spl0_96
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f1504]) ).
fof(f1516,plain,
( c1_1(a576)
| c3_1(a576)
| ~ spl0_12
| ~ spl0_125 ),
inference(resolution,[],[f417,f983]) ).
fof(f1528,plain,
( ! [X6] :
( c1_1(X6)
| c3_1(X6) )
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f406,f417]) ).
fof(f1547,plain,
( ~ c2_1(a546)
| ~ spl0_10
| spl0_84
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1396,f765]) ).
fof(f1555,plain,
( c1_1(a576)
| ~ spl0_12
| spl0_123
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1516,f973]) ).
fof(f1557,definition,
( spl0_166
<=> c0_1(a538) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1569,plain,
( $false
| ~ spl0_10
| ~ spl0_18
| spl0_84
| spl0_85
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1547,f1283]) ).
fof(f1570,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_84
| spl0_85
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f1569]) ).
fof(f1573,plain,
( spl0_124
| ~ spl0_12
| spl0_123
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1555,f981,f971,f416,f976]) ).
fof(f1619,plain,
( ~ c3_1(a565)
| ~ spl0_14
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f1263,f887]) ).
fof(f1628,plain,
( ~ spl0_106
| ~ spl0_14
| ~ spl0_105
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1619,f885,f875,f423,f880]) ).
fof(f1674,definition,
( spl0_170
<=> c0_1(a553) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1676,plain,
( ~ c0_1(a553)
| spl0_170 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1679,plain,
( ~ c0_1(a553)
| ~ c3_1(a553)
| ~ spl0_23
| ~ spl0_101 ),
inference(resolution,[],[f855,f461]) ).
fof(f1687,plain,
( ~ c3_1(a564)
| ~ c0_1(a564)
| ~ spl0_14
| ~ spl0_21
| spl0_102
| ~ spl0_104 ),
inference(resolution,[],[f1456,f424]) ).
fof(f1688,plain,
( ~ c0_1(a564)
| ~ spl0_14
| ~ spl0_21
| spl0_102
| ~ spl0_103
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1687,f866]) ).
fof(f1689,plain,
( $false
| ~ spl0_14
| ~ spl0_21
| spl0_102
| ~ spl0_103
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1688,f871]) ).
fof(f1690,plain,
( ~ spl0_14
| ~ spl0_21
| spl0_102
| ~ spl0_103
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1692,definition,
( spl0_171
<=> c2_1(a564) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1694,plain,
( c2_1(a564)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1698,definition,
( spl0_172
<=> c2_1(a563) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1700,plain,
( c2_1(a563)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1702,plain,
( ~ c0_1(a563)
| ~ c3_1(a563)
| ~ spl0_23
| ~ spl0_160 ),
inference(resolution,[],[f1170,f461]) ).
fof(f1759,plain,
( c0_1(a580)
| c3_1(a580)
| ~ spl0_33
| ~ spl0_128 ),
inference(resolution,[],[f504,f999]) ).
fof(f1776,plain,
( ! [X40] :
( ~ c0_1(X40)
| ~ c3_1(X40) )
| ~ spl0_14
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f508,f424]) ).
fof(f1783,plain,
( ~ c3_1(a563)
| ~ spl0_14
| ~ spl0_34
| ~ spl0_161 ),
inference(resolution,[],[f1776,f1175]) ).
fof(f1784,plain,
( $false
| ~ spl0_14
| ~ spl0_34
| ~ spl0_159
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f1783,f1165]) ).
fof(f1785,plain,
( ~ spl0_14
| ~ spl0_34
| ~ spl0_159
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1792,definition,
( spl0_173
<=> c2_1(a544) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1794,plain,
( c2_1(a544)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1799,plain,
( ! [X28] :
( ~ c1_1(X28)
| ~ c2_1(X28) )
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f479,f420]) ).
fof(f1880,plain,
( ~ c2_1(a590)
| ~ spl0_13
| ~ spl0_27
| ~ spl0_140 ),
inference(resolution,[],[f1799,f1063]) ).
fof(f1895,plain,
( c0_1(a566)
| c1_1(a566)
| ~ spl0_3
| ~ spl0_109 ),
inference(resolution,[],[f382,f898]) ).
fof(f1907,plain,
( ~ c1_1(a566)
| c2_1(a566)
| ~ spl0_29
| ~ spl0_109 ),
inference(resolution,[],[f486,f898]) ).
fof(f1922,plain,
( c1_1(a566)
| ~ spl0_3
| spl0_108
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1895,f893]) ).
fof(f1924,plain,
( spl0_162
| ~ spl0_3
| spl0_108
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1922,f896,f891,f381,f1234]) ).
fof(f2000,plain,
( ! [X40] :
( ~ c3_1(X40)
| c2_1(X40) )
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f508,f440]) ).
fof(f2007,plain,
( c2_1(a566)
| ~ spl0_18
| ~ spl0_34
| ~ spl0_109 ),
inference(resolution,[],[f2000,f898]) ).
fof(f2011,plain,
( c2_1(a552)
| ~ spl0_18
| ~ spl0_34
| ~ spl0_153 ),
inference(resolution,[],[f2000,f1133]) ).
fof(f2015,plain,
( $false
| ~ spl0_18
| ~ spl0_34
| ~ spl0_109
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f2007,f903]) ).
fof(f2016,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_109
| spl0_110 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2035,plain,
( c1_1(a564)
| c2_1(a564)
| ~ spl0_21
| ~ spl0_104 ),
inference(resolution,[],[f871,f453]) ).
fof(f2055,plain,
( c0_1(a546)
| ~ spl0_3
| spl0_84
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f1193,f765]) ).
fof(f2095,plain,
( spl0_85
| ~ spl0_3
| spl0_84
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f2055,f773,f763,f381,f768]) ).
fof(f2107,plain,
( ! [X7] :
( ~ c3_1(X7)
| c1_1(X7) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f409,f2000]) ).
fof(f2119,plain,
( spl0_72
| spl0_166
| ~ spl0_9
| spl0_74 ),
inference(avatar_split_clause,[],[f1252,f709,f405,f1557,f699]) ).
fof(f2164,plain,
( c0_1(a553)
| ~ spl0_18
| ~ spl0_28
| ~ spl0_100 ),
inference(resolution,[],[f1320,f850]) ).
fof(f2167,plain,
( c0_1(a584)
| ~ spl0_18
| ~ spl0_28
| ~ spl0_134 ),
inference(resolution,[],[f1320,f1031]) ).
fof(f2174,plain,
( $false
| ~ spl0_18
| ~ spl0_28
| spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f2167,f1026]) ).
fof(f2175,plain,
( ~ spl0_18
| ~ spl0_28
| spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2176,plain,
( spl0_170
| ~ spl0_18
| ~ spl0_28
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f2164,f848,f481,f439,f1674]) ).
fof(f2181,plain,
( ~ spl0_138
| ~ spl0_13
| ~ spl0_27
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1880,f1061,f478,f419,f1051]) ).
fof(f2191,plain,
( c0_1(a580)
| ~ spl0_33
| spl0_126
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f1759,f989]) ).
fof(f2207,plain,
( spl0_154
| ~ spl0_18
| ~ spl0_34
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2011,f1131,f507,f439,f1136]) ).
fof(f2223,plain,
( spl0_127
| ~ spl0_33
| spl0_126
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2191,f997,f987,f503,f992]) ).
fof(f2227,plain,
( ~ spl0_100
| ~ spl0_170
| ~ spl0_23
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1679,f853,f460,f1674,f848]) ).
fof(f2273,plain,
( c0_1(a582)
| c2_1(a582)
| ~ spl0_18
| ~ spl0_130 ),
inference(resolution,[],[f1010,f440]) ).
fof(f2307,plain,
( c1_1(a564)
| ~ c0_1(a564)
| ~ spl0_5
| ~ spl0_103 ),
inference(resolution,[],[f390,f866]) ).
fof(f2310,plain,
( c1_1(a582)
| ~ c0_1(a582)
| ~ spl0_5
| ~ spl0_130 ),
inference(resolution,[],[f390,f1010]) ).
fof(f2426,plain,
( ! [X45] :
( ~ c1_1(X45)
| ~ c3_1(X45) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f521,f1224]) ).
fof(f2428,plain,
( ~ c3_1(a551)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_98 ),
inference(resolution,[],[f2426,f839]) ).
fof(f2436,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_97
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f2428,f834]) ).
fof(f2437,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_97
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2441,plain,
( c2_1(a537)
| c3_1(a537)
| ~ spl0_39
| spl0_70 ),
inference(resolution,[],[f530,f690]) ).
fof(f2530,plain,
( c1_1(a564)
| c2_1(a564)
| ~ spl0_55
| ~ spl0_103 ),
inference(resolution,[],[f603,f866]) ).
fof(f2532,plain,
( c1_1(a582)
| c2_1(a582)
| ~ spl0_55
| ~ spl0_130 ),
inference(resolution,[],[f603,f1010]) ).
fof(f2536,plain,
( c2_1(a564)
| ~ spl0_55
| spl0_102
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f2530,f861]) ).
fof(f2539,plain,
( spl0_171
| ~ spl0_55
| spl0_102
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f2536,f864,f859,f602,f1692]) ).
fof(f2541,plain,
( c3_1(a536)
| c2_1(a536)
| ~ spl0_60
| ~ spl0_68 ),
inference(resolution,[],[f625,f679]) ).
fof(f2563,plain,
( spl0_131
| spl0_164
| ~ spl0_18
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2273,f1008,f439,f1462,f1013]) ).
fof(f2564,plain,
( c2_1(a582)
| ~ spl0_55
| spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f2532,f1005]) ).
fof(f2567,plain,
( spl0_131
| ~ spl0_55
| spl0_129
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2564,f1008,f1003,f602,f1013]) ).
fof(f2577,plain,
( ! [X83] :
( ~ c2_1(X83)
| ~ c0_1(X83) )
| ~ spl0_14
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f629,f424]) ).
fof(f2578,plain,
( ~ c0_1(a538)
| ~ spl0_14
| ~ spl0_61
| ~ spl0_73 ),
inference(resolution,[],[f2577,f706]) ).
fof(f2579,plain,
( ~ c0_1(a539)
| ~ spl0_14
| ~ spl0_61
| ~ spl0_76 ),
inference(resolution,[],[f2577,f722]) ).
fof(f2618,plain,
( c1_1(a582)
| ~ spl0_18
| ~ spl0_21
| ~ spl0_130
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f1450,f1015]) ).
fof(f2634,plain,
( c2_1(a537)
| ~ spl0_39
| spl0_69
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f2441,f685]) ).
fof(f2638,plain,
( c3_1(a536)
| ~ spl0_60
| spl0_67
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2541,f674]) ).
fof(f2648,plain,
( spl0_129
| ~ spl0_18
| ~ spl0_21
| ~ spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f2618,f1013,f1008,f452,f439,f1003]) ).
fof(f2651,plain,
( spl0_71
| ~ spl0_39
| spl0_69
| spl0_70 ),
inference(avatar_split_clause,[],[f2634,f688,f683,f529,f693]) ).
fof(f2653,plain,
( spl0_66
| ~ spl0_60
| spl0_67
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f2638,f677,f672,f624,f667]) ).
fof(f2668,plain,
( c2_1(a582)
| ~ spl0_18
| ~ spl0_34
| ~ spl0_130 ),
inference(resolution,[],[f2000,f1010]) ).
fof(f2677,plain,
( spl0_131
| ~ spl0_18
| ~ spl0_34
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2668,f1008,f507,f439,f1013]) ).
fof(f2715,plain,
( ! [X3] :
( ~ c3_1(X3)
| c1_1(X3) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f390,f382]) ).
fof(f2716,plain,
( c1_1(a540)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_80 ),
inference(resolution,[],[f2715,f743]) ).
fof(f2720,plain,
( c1_1(a582)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_130 ),
inference(resolution,[],[f2715,f1010]) ).
fof(f2728,plain,
( spl0_79
| ~ spl0_3
| ~ spl0_5
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2716,f741,f389,f381,f736]) ).
fof(f2729,plain,
( ! [X6] :
( c1_1(X6)
| c0_1(X6) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f406,f2715]) ).
fof(f2733,plain,
( c0_1(a549)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_94 ),
inference(resolution,[],[f2729,f818]) ).
fof(f2752,plain,
( spl0_95
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_94 ),
inference(avatar_split_clause,[],[f2733,f816,f405,f389,f381,f821]) ).
fof(f2792,plain,
( ! [X28] :
( ~ c2_1(X28)
| c0_1(X28) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f479,f2729]) ).
fof(f2810,plain,
( c0_1(a587)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_27
| ~ spl0_136 ),
inference(resolution,[],[f2792,f1042]) ).
fof(f2813,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_27
| ~ spl0_136
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f2810,f1047]) ).
fof(f2814,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_27
| ~ spl0_136
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f2813]) ).
fof(f2887,plain,
( ! [X45] :
( ~ c3_1(X45)
| c0_1(X45) )
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f521,f382]) ).
fof(f2891,plain,
( c0_1(a551)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_97 ),
inference(resolution,[],[f2887,f834]) ).
fof(f2896,plain,
( c0_1(a582)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_130 ),
inference(resolution,[],[f2887,f1010]) ).
fof(f2897,plain,
( c0_1(a584)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_134 ),
inference(resolution,[],[f2887,f1031]) ).
fof(f2904,plain,
( $false
| ~ spl0_3
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f2897,f1026]) ).
fof(f2905,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f2904]) ).
fof(f2912,plain,
( $false
| ~ spl0_3
| ~ spl0_37
| spl0_96
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f2891,f829]) ).
fof(f2913,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_96
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f2912]) ).
fof(f2935,plain,
( ! [X7] : c1_1(X7)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f2107,f1528]) ).
fof(f2980,plain,
( ! [X45] :
( ~ c3_1(X45)
| c0_1(X45) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f521,f2935]) ).
fof(f2989,plain,
( c0_1(a584)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34
| ~ spl0_37
| ~ spl0_134 ),
inference(resolution,[],[f2980,f1031]) ).
fof(f2996,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f2989,f1026]) ).
fof(f2997,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f2996]) ).
fof(f3011,plain,
( ~ spl0_77
| ~ spl0_14
| ~ spl0_61
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2579,f720,f628,f423,f725]) ).
fof(f3027,plain,
( c0_1(a562)
| c2_1(a562)
| ~ spl0_18
| ~ spl0_156 ),
inference(resolution,[],[f1149,f440]) ).
fof(f3029,definition,
( spl0_184
<=> c0_1(a562) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f3032,plain,
( spl0_157
| spl0_184
| ~ spl0_18
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3027,f1147,f439,f3029,f1152]) ).
fof(f3035,plain,
( ~ c0_1(a544)
| ~ spl0_14
| ~ spl0_61
| ~ spl0_173 ),
inference(resolution,[],[f2577,f1794]) ).
fof(f3040,plain,
( ~ c0_1(a564)
| ~ spl0_14
| ~ spl0_61
| ~ spl0_171 ),
inference(resolution,[],[f2577,f1694]) ).
fof(f3050,plain,
( ~ c0_1(a563)
| ~ spl0_14
| ~ spl0_61
| ~ spl0_172 ),
inference(resolution,[],[f2577,f1700]) ).
fof(f3051,plain,
( $false
| ~ spl0_14
| ~ spl0_61
| ~ spl0_161
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f3050,f1175]) ).
fof(f3052,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_161
| ~ spl0_172 ),
inference(avatar_contradiction_clause,[],[f3051]) ).
fof(f3063,plain,
( $false
| ~ spl0_14
| ~ spl0_61
| ~ spl0_83
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f3035,f759]) ).
fof(f3064,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_83
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3098,plain,
( spl0_110
| ~ spl0_162
| ~ spl0_29
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1907,f896,f485,f1234,f901]) ).
fof(f3124,plain,
( ~ c0_1(a544)
| c2_1(a544)
| ~ spl0_7
| ~ spl0_82 ),
inference(resolution,[],[f398,f754]) ).
fof(f3143,plain,
( ~ c0_1(a562)
| c2_1(a562)
| ~ spl0_7
| ~ spl0_158 ),
inference(resolution,[],[f398,f1159]) ).
fof(f3144,plain,
( ~ c0_1(a563)
| c2_1(a563)
| ~ spl0_7
| ~ spl0_160 ),
inference(resolution,[],[f398,f1170]) ).
fof(f3161,plain,
( ! [X14] :
( c1_1(X14)
| c0_1(X14) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f437,f375]) ).
fof(f3196,plain,
( ~ c1_1(a562)
| c2_1(a562)
| ~ spl0_29
| ~ spl0_156 ),
inference(resolution,[],[f486,f1149]) ).
fof(f3262,plain,
( ! [X42] :
( c3_1(X42)
| c0_1(X42) )
| ~ spl0_20
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f513,f450]) ).
fof(f3267,plain,
( c0_1(a547)
| ~ spl0_20
| ~ spl0_35
| spl0_87 ),
inference(resolution,[],[f3262,f781]) ).
fof(f3280,plain,
( ! [X45] :
( ~ c3_1(X45)
| c0_1(X45) )
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f521,f3161]) ).
fof(f3287,plain,
( c0_1(a553)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_100 ),
inference(resolution,[],[f3280,f850]) ).
fof(f3291,plain,
( c0_1(a582)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_130 ),
inference(resolution,[],[f3280,f1010]) ).
fof(f3292,plain,
( c0_1(a584)
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_134 ),
inference(resolution,[],[f3280,f1031]) ).
fof(f3302,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f3292,f1026]) ).
fof(f3303,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f3302]) ).
fof(f3304,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_130
| spl0_164 ),
inference(forward_subsumption_resolution,[],[f3291,f1463]) ).
fof(f3305,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_130
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f3304]) ).
fof(f3306,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_100
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f3287,f1676]) ).
fof(f3307,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_100
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f3306]) ).
fof(f3317,plain,
( ! [X21] :
( c2_1(X21)
| ~ c0_1(X21) )
| ~ spl0_7
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f453,f398]) ).
fof(f3321,plain,
( c2_1(a562)
| ~ spl0_29
| ~ spl0_156
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f3196,f1159]) ).
fof(f3323,plain,
( spl0_157
| ~ spl0_29
| ~ spl0_156
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3321,f1157,f1147,f485,f1152]) ).
fof(f3332,plain,
( spl0_164
| ~ spl0_3
| ~ spl0_37
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2896,f1008,f520,f381,f1462]) ).
fof(f3334,plain,
( ! [X44] :
( ~ c1_1(X44)
| c2_1(X44) )
| ~ spl0_7
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f517,f398]) ).
fof(f3387,plain,
( ~ c0_1(a536)
| ~ spl0_7
| ~ spl0_21
| spl0_67 ),
inference(resolution,[],[f3317,f674]) ).
fof(f3392,plain,
( ~ c0_1(a582)
| ~ spl0_7
| ~ spl0_21
| spl0_131 ),
inference(resolution,[],[f3317,f1015]) ).
fof(f3399,plain,
( ~ spl0_164
| ~ spl0_7
| ~ spl0_21
| spl0_131 ),
inference(avatar_split_clause,[],[f3392,f1013,f452,f397,f1462]) ).
fof(f3410,plain,
( ~ c3_1(a582)
| c2_1(a582)
| ~ spl0_34
| ~ spl0_164 ),
inference(resolution,[],[f1464,f508]) ).
fof(f3411,plain,
( c2_1(a582)
| ~ spl0_34
| ~ spl0_130
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f3410,f1010]) ).
fof(f3412,plain,
( $false
| ~ spl0_34
| ~ spl0_130
| spl0_131
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f3411,f1015]) ).
fof(f3413,plain,
( ~ spl0_34
| ~ spl0_130
| spl0_131
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f3412]) ).
fof(f3425,plain,
( spl0_88
| ~ spl0_20
| ~ spl0_35
| spl0_87 ),
inference(avatar_split_clause,[],[f3267,f779,f512,f449,f784]) ).
fof(f3437,plain,
( ~ spl0_104
| spl0_102
| ~ spl0_5
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f2307,f864,f389,f859,f869]) ).
fof(f3439,plain,
( spl0_129
| ~ spl0_3
| ~ spl0_5
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2720,f1008,f389,f381,f1003]) ).
fof(f3446,plain,
( spl0_173
| ~ spl0_83
| ~ spl0_7
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f3124,f752,f397,f757,f1792]) ).
fof(f3469,plain,
( ~ spl0_166
| ~ spl0_14
| ~ spl0_61
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f2578,f704,f628,f423,f1557]) ).
fof(f3473,plain,
( ~ spl0_104
| ~ spl0_14
| ~ spl0_61
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3040,f1692,f628,f423,f869]) ).
fof(f3482,plain,
( ~ c3_1(a553)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_37
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f1679,f2887]) ).
fof(f3499,plain,
( ~ spl0_100
| ~ spl0_3
| ~ spl0_23
| ~ spl0_37
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f3482,f853,f520,f460,f381,f848]) ).
fof(f3501,plain,
( spl0_171
| spl0_102
| ~ spl0_21
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f2035,f869,f452,f859,f1692]) ).
fof(f3505,plain,
( spl0_172
| ~ spl0_161
| ~ spl0_7
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3144,f1168,f397,f1173,f1698]) ).
fof(f3513,plain,
( c0_1(a566)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_109 ),
inference(resolution,[],[f898,f2887]) ).
fof(f3514,plain,
( $false
| ~ spl0_3
| ~ spl0_37
| spl0_108
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f3513,f893]) ).
fof(f3515,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_108
| ~ spl0_109 ),
inference(avatar_contradiction_clause,[],[f3514]) ).
fof(f3520,plain,
( ~ spl0_164
| spl0_129
| ~ spl0_5
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2310,f1008,f389,f1003,f1462]) ).
fof(f3521,plain,
( ~ spl0_68
| ~ spl0_7
| ~ spl0_21
| spl0_67 ),
inference(avatar_split_clause,[],[f3387,f672,f452,f397,f677]) ).
fof(f3531,plain,
( ~ spl0_159
| ~ spl0_161
| ~ spl0_23
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f1702,f1168,f460,f1173,f1163]) ).
fof(f3542,plain,
( spl0_137
| ~ spl0_1
| ~ spl0_27
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1491,f1040,f478,f374,f1045]) ).
fof(f3557,plain,
( c0_1(a587)
| ~ spl0_20
| spl0_135
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1303,f1042]) ).
fof(f3605,plain,
( spl0_137
| ~ spl0_20
| spl0_135
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f3557,f1040,f1035,f449,f1045]) ).
fof(f3613,plain,
( c0_1(a553)
| ~ spl0_1
| ~ spl0_27
| ~ spl0_99 ),
inference(resolution,[],[f1479,f845]) ).
fof(f3629,plain,
( spl0_170
| ~ spl0_1
| ~ spl0_27
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f3613,f843,f478,f374,f1674]) ).
fof(f3637,plain,
( ~ spl0_171
| spl0_102
| ~ spl0_10
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1398,f864,f408,f859,f1692]) ).
fof(f3645,plain,
( c0_1(a546)
| ~ spl0_1
| ~ spl0_17
| spl0_84 ),
inference(resolution,[],[f3161,f765]) ).
fof(f3656,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| spl0_84
| spl0_85 ),
inference(forward_subsumption_resolution,[],[f3645,f770]) ).
fof(f3657,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_84
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f3656]) ).
fof(f3678,plain,
( spl0_157
| ~ spl0_184
| ~ spl0_7
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3143,f1157,f397,f3029,f1152]) ).
fof(f3681,plain,
( c2_1(a548)
| ~ spl0_7
| ~ spl0_36
| ~ spl0_92 ),
inference(resolution,[],[f3334,f807]) ).
fof(f3709,plain,
( $false
| ~ spl0_7
| ~ spl0_36
| spl0_91
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f3681,f802]) ).
fof(f3710,plain,
( ~ spl0_7
| ~ spl0_36
| spl0_91
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f3709]) ).
fof(f3761,plain,
( c0_1(a582)
| c2_1(a582)
| ~ spl0_17
| spl0_129 ),
inference(resolution,[],[f437,f1005]) ).
fof(f3762,plain,
( c0_1(a594)
| c2_1(a594)
| ~ spl0_17
| spl0_141 ),
inference(resolution,[],[f437,f1069]) ).
fof(f3764,plain,
( c2_1(a594)
| ~ spl0_17
| spl0_141
| spl0_142 ),
inference(forward_subsumption_resolution,[],[f3762,f1074]) ).
fof(f3765,plain,
( c2_1(a582)
| ~ spl0_17
| spl0_129
| spl0_164 ),
inference(forward_subsumption_resolution,[],[f3761,f1463]) ).
fof(f3768,plain,
( $false
| ~ spl0_17
| spl0_141
| spl0_142
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f3764,f1079]) ).
fof(f3769,plain,
( ~ spl0_17
| spl0_141
| spl0_142
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f3768]) ).
fof(f3770,plain,
( $false
| ~ spl0_17
| spl0_129
| spl0_131
| spl0_164 ),
inference(forward_subsumption_resolution,[],[f3765,f1015]) ).
fof(f3771,plain,
( ~ spl0_17
| spl0_129
| spl0_131
| spl0_164 ),
inference(avatar_contradiction_clause,[],[f3770]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f387]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f395]) ).
cnf(s4,plain,
( spl0_2
| spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f414]) ).
cnf(s6,plain,
( spl0_2
| spl0_9
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f429]) ).
cnf(s8,plain,
( spl0_2
| spl0_3
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f441]) ).
cnf(s9,plain,
( spl0_2
| spl0_3
| ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f442]) ).
cnf(s10,plain,
( spl0_2
| spl0_3
| spl0_8
| ~ spl0_19 ),
inference(sat_conversion,[],[f447]) ).
cnf(s12,plain,
( spl0_2
| spl0_13
| spl0_20
| spl0_23 ),
inference(sat_conversion,[],[f462]) ).
cnf(s15,plain,
( spl0_2
| spl0_12
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f483]) ).
cnf(s16,plain,
( spl0_2
| spl0_18
| spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f487]) ).
cnf(s17,plain,
( spl0_2
| spl0_25
| spl0_27
| spl0_30 ),
inference(sat_conversion,[],[f492]) ).
cnf(s21,plain,
( spl0_2
| spl0_26
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f510]) ).
cnf(s22,plain,
( spl0_2
| spl0_4
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f514]) ).
cnf(s23,plain,
( spl0_2
| spl0_26
| spl0_30
| spl0_36 ),
inference(sat_conversion,[],[f518]) ).
cnf(s24,plain,
( spl0_2
| spl0_13
| spl0_22
| spl0_37 ),
inference(sat_conversion,[],[f522]) ).
cnf(s25,plain,
( spl0_2
| spl0_4
| spl0_37
| ~ spl0_38 ),
inference(sat_conversion,[],[f527]) ).
cnf(s26,plain,
( spl0_2
| spl0_14
| spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f531]) ).
cnf(s27,plain,
( spl0_2
| spl0_18
| spl0_21
| spl0_40 ),
inference(sat_conversion,[],[f536]) ).
cnf(s28,plain,
( spl0_2
| spl0_7
| spl0_18
| spl0_41 ),
inference(sat_conversion,[],[f541]) ).
cnf(s36,plain,
( spl0_2
| spl0_10
| spl0_26
| ~ spl0_52 ),
inference(sat_conversion,[],[f589]) ).
cnf(s37,plain,
( spl0_2
| spl0_7
| spl0_12
| ~ spl0_42 ),
inference(sat_conversion,[],[f590]) ).
cnf(s39,plain,
( spl0_2
| spl0_31
| spl0_39
| ~ spl0_54 ),
inference(sat_conversion,[],[f600]) ).
cnf(s40,plain,
( spl0_2
| spl0_21
| ~ spl0_52
| spl0_55 ),
inference(sat_conversion,[],[f604]) ).
cnf(s42,plain,
( spl0_2
| spl0_13
| spl0_21
| spl0_24 ),
inference(sat_conversion,[],[f613]) ).
cnf(s45,plain,
( spl0_2
| spl0_5
| spl0_14
| spl0_60 ),
inference(sat_conversion,[],[f626]) ).
cnf(s46,plain,
( spl0_2
| spl0_34
| spl0_61 ),
inference(sat_conversion,[],[f630]) ).
cnf(s52,plain,
( spl0_2
| spl0_4
| spl0_14
| spl0_45 ),
inference(sat_conversion,[],[f644]) ).
cnf(s54,plain,
( spl0_2
| spl0_41
| ~ spl0_54
| spl0_60 ),
inference(sat_conversion,[],[f646]) ).
cnf(s57,plain,
( spl0_2
| ~ spl0_43
| ~ spl0_54
| spl0_60 ),
inference(sat_conversion,[],[f653]) ).
cnf(s61,plain,
( spl0_2
| spl0_23
| spl0_34
| ~ spl0_43 ),
inference(sat_conversion,[],[f657]) ).
cnf(s64,plain,
( spl0_2
| spl0_30
| spl0_34
| ~ spl0_43 ),
inference(sat_conversion,[],[f664]) ).
cnf(s66,plain,
( ~ spl0_4
| ~ spl0_66 ),
inference(sat_conversion,[],[f670]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_67 ),
inference(sat_conversion,[],[f675]) ).
cnf(s68,plain,
( ~ spl0_4
| spl0_68 ),
inference(sat_conversion,[],[f680]) ).
cnf(s70,plain,
( spl0_6
| ~ spl0_69 ),
inference(sat_conversion,[],[f686]) ).
cnf(s71,plain,
( spl0_6
| ~ spl0_70 ),
inference(sat_conversion,[],[f691]) ).
cnf(s72,plain,
( spl0_6
| ~ spl0_71 ),
inference(sat_conversion,[],[f696]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_72 ),
inference(sat_conversion,[],[f702]) ).
cnf(s75,plain,
( ~ spl0_8
| spl0_73 ),
inference(sat_conversion,[],[f707]) ).
cnf(s76,plain,
( ~ spl0_8
| ~ spl0_74 ),
inference(sat_conversion,[],[f712]) ).
cnf(s79,plain,
( ~ spl0_11
| spl0_76 ),
inference(sat_conversion,[],[f723]) ).
cnf(s80,plain,
( ~ spl0_11
| spl0_77 ),
inference(sat_conversion,[],[f728]) ).
cnf(s82,plain,
( ~ spl0_15
| spl0_78 ),
inference(sat_conversion,[],[f734]) ).
cnf(s83,plain,
( ~ spl0_15
| ~ spl0_79 ),
inference(sat_conversion,[],[f739]) ).
cnf(s84,plain,
( ~ spl0_15
| spl0_80 ),
inference(sat_conversion,[],[f744]) ).
cnf(s87,plain,
( spl0_19
| spl0_82 ),
inference(sat_conversion,[],[f755]) ).
cnf(s88,plain,
( spl0_19
| spl0_83 ),
inference(sat_conversion,[],[f760]) ).
cnf(s90,plain,
( ~ spl0_22
| ~ spl0_84 ),
inference(sat_conversion,[],[f766]) ).
cnf(s91,plain,
( ~ spl0_22
| ~ spl0_85 ),
inference(sat_conversion,[],[f771]) ).
cnf(s92,plain,
( ~ spl0_22
| spl0_86 ),
inference(sat_conversion,[],[f776]) ).
cnf(s94,plain,
( ~ spl0_24
| ~ spl0_87 ),
inference(sat_conversion,[],[f782]) ).
cnf(s95,plain,
( ~ spl0_24
| ~ spl0_88 ),
inference(sat_conversion,[],[f787]) ).
cnf(s99,plain,
( ~ spl0_25
| ~ spl0_91 ),
inference(sat_conversion,[],[f803]) ).
cnf(s100,plain,
( ~ spl0_25
| spl0_92 ),
inference(sat_conversion,[],[f808]) ).
cnf(s102,plain,
( ~ spl0_26
| spl0_93 ),
inference(sat_conversion,[],[f814]) ).
cnf(s103,plain,
( ~ spl0_26
| ~ spl0_94 ),
inference(sat_conversion,[],[f819]) ).
cnf(s104,plain,
( ~ spl0_26
| ~ spl0_95 ),
inference(sat_conversion,[],[f824]) ).
cnf(s106,plain,
( ~ spl0_30
| ~ spl0_96 ),
inference(sat_conversion,[],[f830]) ).
cnf(s107,plain,
( ~ spl0_30
| spl0_97 ),
inference(sat_conversion,[],[f835]) ).
cnf(s108,plain,
( ~ spl0_30
| spl0_98 ),
inference(sat_conversion,[],[f840]) ).
cnf(s110,plain,
( ~ spl0_32
| spl0_99 ),
inference(sat_conversion,[],[f846]) ).
cnf(s111,plain,
( ~ spl0_32
| spl0_100 ),
inference(sat_conversion,[],[f851]) ).
cnf(s112,plain,
( ~ spl0_32
| spl0_101 ),
inference(sat_conversion,[],[f856]) ).
cnf(s114,plain,
( ~ spl0_41
| ~ spl0_102 ),
inference(sat_conversion,[],[f862]) ).
cnf(s115,plain,
( ~ spl0_41
| spl0_103 ),
inference(sat_conversion,[],[f867]) ).
cnf(s116,plain,
( ~ spl0_41
| spl0_104 ),
inference(sat_conversion,[],[f872]) ).
cnf(s117,plain,
( ~ spl0_2
| ~ spl0_41 ),
inference(sat_conversion,[],[f873]) ).
cnf(s118,plain,
( spl0_42
| spl0_105 ),
inference(sat_conversion,[],[f878]) ).
cnf(s119,plain,
( spl0_42
| spl0_106 ),
inference(sat_conversion,[],[f883]) ).
cnf(s120,plain,
( spl0_42
| spl0_107 ),
inference(sat_conversion,[],[f888]) ).
cnf(s122,plain,
( spl0_43
| ~ spl0_108 ),
inference(sat_conversion,[],[f894]) ).
cnf(s123,plain,
( spl0_43
| spl0_109 ),
inference(sat_conversion,[],[f899]) ).
cnf(s124,plain,
( spl0_43
| ~ spl0_110 ),
inference(sat_conversion,[],[f904]) ).
cnf(s125,plain,
( ~ spl0_2
| spl0_43 ),
inference(sat_conversion,[],[f905]) ).
cnf(s126,plain,
( ~ spl0_45
| spl0_111 ),
inference(sat_conversion,[],[f910]) ).
cnf(s127,plain,
( ~ spl0_45
| spl0_112 ),
inference(sat_conversion,[],[f915]) ).
cnf(s128,plain,
( ~ spl0_45
| spl0_113 ),
inference(sat_conversion,[],[f920]) ).
cnf(s142,plain,
( spl0_52
| ~ spl0_123 ),
inference(sat_conversion,[],[f974]) ).
cnf(s143,plain,
( spl0_52
| ~ spl0_124 ),
inference(sat_conversion,[],[f979]) ).
cnf(s144,plain,
( spl0_52
| spl0_125 ),
inference(sat_conversion,[],[f984]) ).
cnf(s146,plain,
( ~ spl0_53
| ~ spl0_126 ),
inference(sat_conversion,[],[f990]) ).
cnf(s147,plain,
( ~ spl0_53
| ~ spl0_127 ),
inference(sat_conversion,[],[f995]) ).
cnf(s148,plain,
( ~ spl0_53
| spl0_128 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s150,plain,
( spl0_54
| ~ spl0_129 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s151,plain,
( spl0_54
| spl0_130 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s152,plain,
( spl0_54
| ~ spl0_131 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s154,plain,
( ~ spl0_57
| spl0_132 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s155,plain,
( ~ spl0_57
| ~ spl0_133 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s156,plain,
( ~ spl0_57
| spl0_134 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s158,plain,
( spl0_59
| ~ spl0_135 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s159,plain,
( spl0_59
| spl0_136 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s160,plain,
( spl0_59
| ~ spl0_137 ),
inference(sat_conversion,[],[f1048]) ).
cnf(s162,plain,
( ~ spl0_62
| spl0_138 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s164,plain,
( ~ spl0_62
| spl0_140 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s166,plain,
( spl0_63
| ~ spl0_141 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s167,plain,
( spl0_63
| ~ spl0_142 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s168,plain,
( spl0_63
| ~ spl0_143 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s182,plain,
( ~ spl0_31
| spl0_153 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s183,plain,
( ~ spl0_31
| ~ spl0_154 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s186,plain,
( spl0_38
| spl0_156 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s187,plain,
( spl0_38
| ~ spl0_157 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s188,plain,
( spl0_38
| spl0_158 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s190,plain,
( ~ spl0_40
| spl0_159 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s191,plain,
( ~ spl0_40
| spl0_160 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s192,plain,
( ~ spl0_40
| spl0_161 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s193,plain,
( ~ spl0_2
| ~ spl0_40 ),
inference(sat_conversion,[],[f1177]) ).
cnf(s195,plain,
( spl0_40
| spl0_41
| ~ spl0_43 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s197,plain,
( spl0_40
| spl0_53
| spl0_57 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s201,plain,
( spl0_22
| ~ spl0_42
| spl0_62 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s202,plain,
( spl0_22
| ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s203,plain,
( ~ spl0_42
| spl0_57
| ~ spl0_63 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s208,plain,
( ~ spl0_54
| spl0_57
| ~ spl0_59 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s220,plain,
( ~ spl0_13
| ~ spl0_111
| ~ spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s221,plain,
( ~ spl0_18
| spl0_108
| ~ spl0_109
| spl0_110 ),
inference(sat_conversion,[],[f1291]) ).
cnf(s228,plain,
( ~ spl0_18
| ~ spl0_28
| spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f1334]) ).
cnf(s235,plain,
( ~ spl0_1
| ~ spl0_93
| spl0_94
| spl0_95 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s238,plain,
( ~ spl0_10
| ~ spl0_78
| spl0_79
| ~ spl0_80 ),
inference(sat_conversion,[],[f1410]) ).
cnf(s247,plain,
( ~ spl0_1
| ~ spl0_27
| ~ spl0_132
| spl0_133 ),
inference(sat_conversion,[],[f1498]) ).
cnf(s251,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_27
| spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s269,plain,
( ~ spl0_10
| ~ spl0_18
| spl0_84
| spl0_85
| ~ spl0_86 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s271,plain,
( ~ spl0_12
| spl0_123
| spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s300,plain,
( ~ spl0_14
| ~ spl0_105
| ~ spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f1628]) ).
cnf(s310,plain,
( ~ spl0_14
| ~ spl0_21
| spl0_102
| ~ spl0_103
| ~ spl0_104 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s328,plain,
( ~ spl0_14
| ~ spl0_34
| ~ spl0_159
| ~ spl0_161 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s368,plain,
( ~ spl0_3
| spl0_108
| ~ spl0_109
| spl0_162 ),
inference(sat_conversion,[],[f1924]) ).
cnf(s406,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_109
| spl0_110 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s456,plain,
( ~ spl0_3
| spl0_84
| spl0_85
| ~ spl0_86 ),
inference(sat_conversion,[],[f2095]) ).
cnf(s489,plain,
( ~ spl0_9
| spl0_72
| spl0_74
| spl0_166 ),
inference(sat_conversion,[],[f2119]) ).
cnf(s516,plain,
( ~ spl0_18
| ~ spl0_28
| spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s517,plain,
( ~ spl0_18
| ~ spl0_28
| ~ spl0_100
| spl0_170 ),
inference(sat_conversion,[],[f2176]) ).
cnf(s522,plain,
( ~ spl0_13
| ~ spl0_27
| ~ spl0_138
| ~ spl0_140 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s536,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s549,plain,
( ~ spl0_33
| spl0_126
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f2223]) ).
cnf(s556,plain,
( ~ spl0_23
| ~ spl0_100
| ~ spl0_101
| ~ spl0_170 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s632,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_37
| ~ spl0_97
| ~ spl0_98 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s655,plain,
( ~ spl0_55
| spl0_102
| ~ spl0_103
| spl0_171 ),
inference(sat_conversion,[],[f2539]) ).
cnf(s663,plain,
( ~ spl0_18
| ~ spl0_130
| spl0_131
| spl0_164 ),
inference(sat_conversion,[],[f2563]) ).
cnf(s666,plain,
( ~ spl0_55
| spl0_129
| ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f2567]) ).
cnf(s736,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_129
| ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f2648]) ).
cnf(s745,plain,
( ~ spl0_39
| spl0_69
| spl0_70
| spl0_71 ),
inference(sat_conversion,[],[f2651]) ).
cnf(s748,plain,
( ~ spl0_60
| spl0_66
| spl0_67
| ~ spl0_68 ),
inference(sat_conversion,[],[f2653]) ).
cnf(s759,plain,
( ~ spl0_18
| ~ spl0_34
| ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f2677]) ).
cnf(s772,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_79
| ~ spl0_80 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s778,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| spl0_94
| spl0_95 ),
inference(sat_conversion,[],[f2752]) ).
cnf(s784,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_27
| ~ spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s832,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f2905]) ).
cnf(s836,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s868,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_18
| ~ spl0_34
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f2997]) ).
cnf(s878,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_76
| ~ spl0_77 ),
inference(sat_conversion,[],[f3011]) ).
cnf(s906,plain,
( ~ spl0_18
| ~ spl0_156
| spl0_157
| spl0_184 ),
inference(sat_conversion,[],[f3032]) ).
cnf(s907,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_161
| ~ spl0_172 ),
inference(sat_conversion,[],[f3052]) ).
cnf(s914,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_83
| ~ spl0_173 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s941,plain,
( ~ spl0_29
| ~ spl0_109
| spl0_110
| ~ spl0_162 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s1008,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f3303]) ).
cnf(s1009,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_130
| spl0_164 ),
inference(sat_conversion,[],[f3305]) ).
cnf(s1010,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_37
| ~ spl0_100
| spl0_170 ),
inference(sat_conversion,[],[f3307]) ).
cnf(s1034,plain,
( ~ spl0_29
| ~ spl0_156
| spl0_157
| ~ spl0_158 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s1041,plain,
( ~ spl0_3
| ~ spl0_37
| ~ spl0_130
| spl0_164 ),
inference(sat_conversion,[],[f3332]) ).
cnf(s1079,plain,
( ~ spl0_7
| ~ spl0_21
| spl0_131
| ~ spl0_164 ),
inference(sat_conversion,[],[f3399]) ).
cnf(s1082,plain,
( ~ spl0_34
| ~ spl0_130
| spl0_131
| ~ spl0_164 ),
inference(sat_conversion,[],[f3413]) ).
cnf(s1089,plain,
( ~ spl0_20
| ~ spl0_35
| spl0_87
| spl0_88 ),
inference(sat_conversion,[],[f3425]) ).
cnf(s1096,plain,
( ~ spl0_5
| spl0_102
| ~ spl0_103
| ~ spl0_104 ),
inference(sat_conversion,[],[f3437]) ).
cnf(s1097,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f3439]) ).
cnf(s1103,plain,
( ~ spl0_7
| ~ spl0_82
| ~ spl0_83
| spl0_173 ),
inference(sat_conversion,[],[f3446]) ).
cnf(s1115,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_73
| ~ spl0_166 ),
inference(sat_conversion,[],[f3469]) ).
cnf(s1121,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_104
| ~ spl0_171 ),
inference(sat_conversion,[],[f3473]) ).
cnf(s1154,plain,
( ~ spl0_3
| ~ spl0_23
| ~ spl0_37
| ~ spl0_100
| ~ spl0_101 ),
inference(sat_conversion,[],[f3499]) ).
cnf(s1157,plain,
( ~ spl0_21
| spl0_102
| ~ spl0_104
| spl0_171 ),
inference(sat_conversion,[],[f3501]) ).
cnf(s1163,plain,
( ~ spl0_7
| ~ spl0_160
| ~ spl0_161
| spl0_172 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s1168,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f3515]) ).
cnf(s1178,plain,
( ~ spl0_5
| spl0_129
| ~ spl0_130
| ~ spl0_164 ),
inference(sat_conversion,[],[f3520]) ).
cnf(s1179,plain,
( ~ spl0_7
| ~ spl0_21
| spl0_67
| ~ spl0_68 ),
inference(sat_conversion,[],[f3521]) ).
cnf(s1185,plain,
( ~ spl0_23
| ~ spl0_159
| ~ spl0_160
| ~ spl0_161 ),
inference(sat_conversion,[],[f3531]) ).
cnf(s1200,plain,
( ~ spl0_1
| ~ spl0_27
| ~ spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f3542]) ).
cnf(s1284,plain,
( ~ spl0_20
| spl0_135
| ~ spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f3605]) ).
cnf(s1316,plain,
( ~ spl0_1
| ~ spl0_27
| ~ spl0_99
| spl0_170 ),
inference(sat_conversion,[],[f3629]) ).
cnf(s1331,plain,
( ~ spl0_10
| spl0_102
| ~ spl0_103
| ~ spl0_171 ),
inference(sat_conversion,[],[f3637]) ).
cnf(s1343,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_84
| spl0_85 ),
inference(sat_conversion,[],[f3657]) ).
cnf(s1356,plain,
( ~ spl0_7
| spl0_157
| ~ spl0_158
| ~ spl0_184 ),
inference(sat_conversion,[],[f3678]) ).
cnf(s1371,plain,
( ~ spl0_7
| ~ spl0_36
| spl0_91
| ~ spl0_92 ),
inference(sat_conversion,[],[f3710]) ).
cnf(s1377,plain,
( ~ spl0_17
| spl0_141
| spl0_142
| spl0_143 ),
inference(sat_conversion,[],[f3769]) ).
cnf(s1378,plain,
( ~ spl0_17
| spl0_129
| spl0_131
| spl0_164 ),
inference(sat_conversion,[],[f3771]) ).
cnf(s1381,plain,
( spl0_42
| ~ spl0_14 ),
inference(rat,[],[s300,s118,s119,s120]) ).
cnf(s1382,plain,
( spl0_54
| ~ spl0_18
| ~ spl0_34 ),
inference(rat,[],[s759,s151,s152]) ).
cnf(s1383,plain,
( ~ spl0_18
| ~ spl0_34
| spl0_60
| spl0_2 ),
inference(rat,[],[s406,s123,s124,s57,s1382]) ).
cnf(s1384,plain,
( ~ spl0_34
| spl0_7
| ~ spl0_14
| spl0_60
| spl0_2 ),
inference(rat,[],[s328,s190,s192,s27,s310,s114,s115,s116,s28,s1383]) ).
cnf(s1385,plain,
( spl0_52
| ~ spl0_12 ),
inference(rat,[],[s271,s142,s143,s144]) ).
cnf(s1386,plain,
( ~ spl0_22
| ~ spl0_10
| ~ spl0_18 ),
inference(rat,[],[s269,s90,s91,s92]) ).
cnf(s1387,plain,
( spl0_43
| ~ spl0_18 ),
inference(rat,[],[s221,s122,s123,s124]) ).
cnf(s1388,plain,
( ~ spl0_18
| ~ spl0_52
| spl0_60
| spl0_2 ),
inference(rat,[],[s40,s736,s666,s150,s151,s152,s57,s1387]) ).
cnf(s1389,plain,
( spl0_7
| ~ spl0_14
| spl0_60
| spl0_2 ),
inference(rat,[],[s40,s655,s310,s1121,s114,s115,s116,s28,s1388,s1385,s46,s1384,s37,s1381]) ).
cnf(s1390,plain,
( ~ spl0_40
| ~ spl0_61
| ~ spl0_7
| ~ spl0_14 ),
inference(rat,[],[s1163,s907,s191,s192]) ).
cnf(s1391,plain,
( spl0_19
| ~ spl0_61
| ~ spl0_7
| ~ spl0_14 ),
inference(rat,[],[s1103,s914,s87,s88]) ).
cnf(s1392,plain,
( ~ spl0_18
| ~ spl0_14
| spl0_60
| spl0_3
| spl0_2 ),
inference(rat,[],[s878,s79,s80,s4,s489,s1115,s74,s75,s76,s10,s1391,s1386,s202,s46,s1387,s1383,s1381,s1389]) ).
cnf(s1393,plain,
( ~ spl0_14
| spl0_60
| spl0_67
| ~ spl0_68
| spl0_3
| spl0_2 ),
inference(rat,[],[s46,s328,s1390,s190,s192,s27,s1392,s1179,s1389]) ).
cnf(s1394,plain,
( ~ spl0_18
| ~ spl0_5
| spl0_60
| spl0_2 ),
inference(rat,[],[s1178,s663,s150,s151,s152,s57,s1387]) ).
cnf(s1395,plain,
( ~ spl0_53
| ~ spl0_33 ),
inference(rat,[],[s549,s146,s147,s148]) ).
cnf(s1396,plain,
( ~ spl0_41
| ~ spl0_5 ),
inference(rat,[],[s1096,s114,s115,s116]) ).
cnf(s1397,plain,
( spl0_60
| spl0_67
| spl0_2
| ~ spl0_68
| spl0_3 ),
inference(rat,[],[s1178,s1378,s150,s151,s152,s54,s1396,s8,s1394,s45,s1393]) ).
cnf(s1398,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1397,s748,s66,s67,s68,s1]) ).
cnf(s1399,plain,
( ~ spl0_22
| ~ spl0_3 ),
inference(rat,[],[s456,s90,s91,s92]) ).
cnf(s1400,plain,
( ~ spl0_42
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s16,s522,s941,s24,s368,s1168,s162,s164,s1387,s122,s123,s124,s201,s202,s1399]) ).
cnf(s1401,plain,
( spl0_60
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s1097,s150,s151,s54,s1396,s45,s1381,s1400]) ).
cnf(s1403,plain,
( ~ spl0_30
| ~ spl0_37
| ~ spl0_3 ),
inference(rat,[],[s836,s106,s107]) ).
cnf(s1404,plain,
( ~ spl0_34
| spl0_39
| ~ spl0_18
| spl0_2 ),
inference(rat,[],[s536,s182,s183,s39,s1382]) ).
cnf(s1405,plain,
( ~ spl0_45
| ~ spl0_13 ),
inference(rat,[],[s220,s126,s127,s128]) ).
cnf(s1406,plain,
( ~ spl0_4
| ~ spl0_60 ),
inference(rat,[],[s748,s66,s67,s68]) ).
cnf(s1407,plain,
( spl0_6
| ~ spl0_39 ),
inference(rat,[],[s745,s70,s71,s72]) ).
cnf(s1409,plain,
( ~ spl0_26
| ~ spl0_9
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s778,s103,s104]) ).
cnf(s1413,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_7 ),
inference(rat,[],[s1371,s99,s100]) ).
cnf(s1416,plain,
( ~ spl0_15
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s772,s83,s84]) ).
cnf(s1417,plain,
( spl0_38
| ~ spl0_7
| ~ spl0_18 ),
inference(rat,[],[s906,s1356,s186,s187,s188]) ).
cnf(s1419,plain,
( ~ spl0_57
| ~ spl0_37
| ~ spl0_3 ),
inference(rat,[],[s832,s155,s156]) ).
cnf(s1420,plain,
( ~ spl0_18
| spl0_2
| spl0_1 ),
inference(rat,[],[s1284,s158,s159,s160,s208,s12,s1185,s190,s191,s192,s195,s1396,s2,s1407,s1404,s1382,s64,s1387,s1403,s1419,s24,s1405,s52,s1406,s1401,s1381,s1400,s1399,s1398]) ).
cnf(s1421,plain,
( spl0_59
| ~ spl0_27
| ~ spl0_9
| ~ spl0_5
| ~ spl0_3 ),
inference(rat,[],[s784,s159,s160]) ).
cnf(s1422,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s1097,s150,s151,s208,s1421,s17,s1413,s23,s1409,s6,s28,s1416,s1396,s2,s1407,s26,s1420,s1419,s1403,s24,s1405,s52,s1406,s1401,s1381,s1400,s1399,s1398]) ).
cnf(s1423,plain,
~ spl0_2,
inference(rat,[],[s195,s117,s125,s193]) ).
cnf(s1424,plain,
spl0_1,
inference(rat,[],[s1422,s1423]) ).
cnf(s1427,plain,
~ spl0_26,
inference(rat,[],[s235,s102,s103,s104,s1424]) ).
cnf(s1428,plain,
( ~ spl0_32
| ~ spl0_23
| ~ spl0_3 ),
inference(rat,[],[s1154,s111,s112,s24,s1405,s52,s1406,s1401,s1381,s1400,s1399,s1423]) ).
cnf(s1429,plain,
( ~ spl0_23
| ~ spl0_3 ),
inference(rat,[],[s1185,s190,s191,s192,s197,s1395,s21,s1428,s1419,s24,s1405,s52,s1406,s1401,s1381,s1400,s1399,s1423,s1427]) ).
cnf(s1430,plain,
( spl0_59
| ~ spl0_20 ),
inference(rat,[],[s1284,s158,s159,s160]) ).
cnf(s1431,plain,
~ spl0_3,
inference(rat,[],[s1168,s122,s123,s64,s1082,s1041,s151,s152,s208,s1430,s12,s1429,s1419,s1403,s24,s1405,s52,s1406,s1381,s1401,s1400,s1399,s1423]) ).
cnf(s1433,plain,
( ~ spl0_57
| ~ spl0_37
| ~ spl0_17 ),
inference(rat,[],[s1008,s155,s156,s1424]) ).
cnf(s1438,plain,
( spl0_38
| ~ spl0_29 ),
inference(rat,[],[s1034,s186,s187,s188]) ).
cnf(s1439,plain,
~ spl0_4,
inference(rat,[],[s1397,s1406,s67,s68,s1423,s1431]) ).
cnf(s1440,plain,
( ~ spl0_57
| ~ spl0_27 ),
inference(rat,[],[s247,s154,s155,s1424]) ).
cnf(s1442,plain,
( spl0_30
| ~ spl0_7
| spl0_27 ),
inference(rat,[],[s1413,s17,s23,s1423,s1427]) ).
cnf(s1444,plain,
( ~ spl0_15
| ~ spl0_10 ),
inference(rat,[],[s238,s82,s83,s84]) ).
cnf(s1445,plain,
( ~ spl0_40
| ~ spl0_23 ),
inference(rat,[],[s1185,s190,s191,s192]) ).
cnf(s1446,plain,
( ~ spl0_41
| ~ spl0_52 ),
inference(rat,[],[s40,s1157,s655,s1331,s114,s115,s116,s36,s1423,s1427]) ).
cnf(s1447,plain,
( ~ spl0_57
| ~ spl0_37
| ~ spl0_18 ),
inference(rat,[],[s1445,s61,s195,s868,s1446,s6,s1444,s1381,s202,s1386,s36,s1385,s15,s516,s1440,s155,s156,s1387,s1423,s1427]) ).
cnf(s1448,plain,
( spl0_23
| spl0_13
| spl0_57
| ~ spl0_18 ),
inference(rat,[],[s208,s1382,s1430,s61,s12,s1387,s1423]) ).
cnf(s1449,plain,
( ~ spl0_23
| spl0_57
| ~ spl0_18 ),
inference(rat,[],[s517,s15,s1316,s556,s110,s111,s112,s21,s1385,s1395,s1446,s197,s195,s1445,s1387,s1423,s1424,s1427]) ).
cnf(s1450,plain,
( ~ spl0_37
| ~ spl0_18 ),
inference(rat,[],[s632,s107,s108,s1442,s1200,s9,s159,s160,s1407,s208,s1404,s1382,s1448,s61,s1449,s1447,s1387,s1424,s1423,s1431]) ).
cnf(s1451,plain,
~ spl0_18,
inference(rat,[],[s1385,s1446,s15,s195,s251,s228,s1445,s106,s107,s61,s64,s1404,s1407,s9,s1417,s25,s1450,s1387,s1423,s1424,s1431,s1439]) ).
cnf(s1452,plain,
spl0_17,
inference(rat,[],[s8,s1431,s1423,s1451]) ).
cnf(s1453,plain,
( ~ spl0_24
| ~ spl0_35
| ~ spl0_20 ),
inference(rat,[],[s1089,s94,s95]) ).
cnf(s1454,plain,
( ~ spl0_21
| spl0_131
| ~ spl0_164 ),
inference(rat,[],[s310,s26,s114,s115,s116,s1407,s28,s9,s1079,s1431,s1451,s1423]) ).
cnf(s1455,plain,
( ~ spl0_20
| spl0_13
| ~ spl0_37 ),
inference(rat,[],[s1454,s42,s1453,s22,s1082,s1009,s151,s152,s208,s1430,s1433,s1423,s1439,s1424,s1452]) ).
cnf(s1456,plain,
( ~ spl0_23
| ~ spl0_37 ),
inference(rat,[],[s1010,s556,s111,s112,s21,s1395,s197,s1445,s1433,s1424,s1452,s1423,s1427]) ).
cnf(s1457,plain,
( spl0_13
| ~ spl0_37 ),
inference(rat,[],[s12,s1455,s1456,s1423]) ).
cnf(s1458,plain,
spl0_63,
inference(rat,[],[s1377,s166,s167,s168,s1452]) ).
cnf(s1460,plain,
~ spl0_37,
inference(rat,[],[s52,s1381,s1405,s203,s1457,s1433,s1423,s1439,s1458,s1452]) ).
cnf(s1461,plain,
~ spl0_38,
inference(rat,[],[s25,s1439,s1423,s1460]) ).
cnf(s1465,plain,
~ spl0_29,
inference(rat,[],[s1438,s1461]) ).
cnf(s1466,plain,
spl0_27,
inference(rat,[],[s16,s1451,s1423,s1465]) ).
cnf(s1467,plain,
~ spl0_57,
inference(rat,[],[s1440,s1466]) ).
cnf(s1468,plain,
~ spl0_42,
inference(rat,[],[s203,s1458,s1467]) ).
cnf(s1472,plain,
~ spl0_14,
inference(rat,[],[s1381,s1468]) ).
cnf(s1474,plain,
spl0_45,
inference(rat,[],[s52,s1439,s1423,s1472]) ).
cnf(s1479,plain,
~ spl0_13,
inference(rat,[],[s1405,s1474]) ).
cnf(s1481,plain,
spl0_22,
inference(rat,[],[s24,s1460,s1423,s1479]) ).
cnf(s1484,plain,
~ spl0_85,
inference(rat,[],[s91,s1481]) ).
cnf(s1485,plain,
~ spl0_84,
inference(rat,[],[s90,s1481]) ).
cnf(s1487,plain,
$false,
inference(rat,[],[s1343,s1452,s1424,s1484,s1485]) ).
fof(f3775,plain,
$false,
inference(avatar_sat_refutation,[],[s1487]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN510+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:23:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.29 % (3989269)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3989275)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3989275)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=186852076:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3989274)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3056474962_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3989276)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4134859446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3989277)dis+10_1_sil=32000:sp=arity:random_seed=350138671:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3989278)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2998874257:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3989280)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1434628395:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3989279)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3256234647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % Detected minimum model sizes of [1]
% 0.19/0.29 % Detected maximum model sizes of [32]
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % (3989275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3989269-3989275"...
% 0.19/0.29 % TRYING [4]
% 0.19/0.29 % (3989280) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3989269-3989280"...
% 0.19/0.29 % (3989275)...printing done.
% 0.19/0.29 % (3989275)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (3989275)------------------------------
% 0.19/0.30 % (3989275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3989275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3989275)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3989275)Termination reason: Refutation
% 0.19/0.30 % (3989275)Time elapsed: 0.034 s
% 0.19/0.30 % (3989275)Peak memory usage: 14 MB
% 0.19/0.30 % (3989275)Instructions burned: 95 (million)
% 0.19/0.30 % (3989269)Success in time 0.064 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------