%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN469+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:10:17 PM UTC 2026
% Result : Theorem 0.35s 0.30s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 133
% Syntax : Number of formulae : 962 ( 17 unt; 132 def)
% Number of atoms : 6571 ( 0 equ)
% Maximal formula atoms : 667 ( 6 avg)
% Number of connectives : 8623 (3014 ~;4241 |; 915 &)
% ( 132 <=>; 321 =>; 0 <=; 0 <~>)
% Maximal formula depth : 103 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 167 ( 166 usr; 163 prp; 0-1 aty)
% Number of functors : 29 ( 29 usr; 29 con; 0-0 aty)
% Number of variables : 742 ( 0 sgn 742 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a400)
& c2_1(a400)
& ~ c3_1(a400) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a401)
& c1_1(a401)
& ~ c3_1(a401) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a402)
& ~ c1_1(a402)
& ~ c2_1(a402) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c0_1(a403)
& ~ c2_1(a403)
& ~ c3_1(a403) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a404)
& c3_1(a404)
& ~ c2_1(a404) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a408)
& c3_1(a408)
& ~ c0_1(a408) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a409)
& ~ c0_1(a409)
& ~ c3_1(a409) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a410)
& ~ c1_1(a410)
& ~ c3_1(a410) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a415)
& c3_1(a415)
& ~ c1_1(a415) ) )
& ( ~ hskp9
| ( ndr1_0
& c3_1(a416)
& ~ c0_1(a416)
& ~ c1_1(a416) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a418)
& ~ c0_1(a418)
& ~ c2_1(a418) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a420)
& ~ c1_1(a420)
& ~ c2_1(a420) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a426)
& c1_1(a426)
& ~ c2_1(a426) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a427)
& c2_1(a427)
& ~ c0_1(a427) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a428)
& ~ c0_1(a428)
& ~ c1_1(a428) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a430)
& c2_1(a430)
& ~ c3_1(a430) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a434)
& ~ c0_1(a434)
& ~ c3_1(a434) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a439)
& ~ c2_1(a439)
& ~ c3_1(a439) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a440)
& ~ c2_1(a440)
& ~ c3_1(a440) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a445)
& c3_1(a445)
& ~ c0_1(a445) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a449)
& c3_1(a449)
& ~ c2_1(a449) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a450)
& ~ c1_1(a450)
& ~ c3_1(a450) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a451)
& c2_1(a451)
& ~ c1_1(a451) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a460)
& ~ c2_1(a460)
& ~ c3_1(a460) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a477)
& ~ c0_1(a477)
& ~ c2_1(a477) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a405)
& c1_1(a405)
& c3_1(a405) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a407)
& c2_1(a407)
& c3_1(a407) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a412)
& c1_1(a412)
& c2_1(a412) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a414)
& c2_1(a414)
& c3_1(a414) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c0_1(X4)
| ~ c2_1(X4)
| ~ c3_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp1
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c3_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| c3_1(X8)
| ~ c2_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| ~ c1_1(X10)
| ~ c2_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c2_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15) ) )
| hskp4 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c1_1(X17)
| c2_1(X17)
| ~ c0_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c1_1(X18)
| ~ c0_1(X18)
| ~ c3_1(X18) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c2_1(X19) ) )
| hskp25
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp26
| hskp5 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c3_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c2_1(X23)
| ~ c3_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| hskp6 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c1_1(X26)
| ~ c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c2_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp7 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29) ) )
| hskp4 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| c3_1(X30) ) )
| hskp27
| hskp0 )
& ( ! [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) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp28 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| hskp8
| hskp9 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c2_1(X37)
| ~ c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38) ) )
| hskp4 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c2_1(X40)
| ~ c1_1(X40)
| ~ c3_1(X40) ) )
| hskp10 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| hskp0
| hskp11 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| hskp5
| hskp3 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| hskp1 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48) ) )
| hskp9 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c3_1(X50)
| ~ c2_1(X50) ) )
| hskp12 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c3_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) )
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c1_1(X54)
| ~ c3_1(X54) ) )
| hskp14 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56) ) )
| hskp1 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp15
| hskp6 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| hskp27
| hskp9 )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| hskp16
| hskp3 )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c2_1(X65)
| ~ c3_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c3_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| hskp11 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| ~ c1_1(X69)
| ~ c2_1(X69) ) ) )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp4 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| ~ c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75) ) )
| hskp2
| hskp17 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| ~ c3_1(X76) ) )
| hskp18
| hskp3 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c2_1(X78)
| ~ c3_1(X78) ) )
| hskp9 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c3_1(X79)
| ~ c0_1(X79) ) )
| hskp12
| hskp1 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c2_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81) ) ) )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp19 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| ~ c0_1(X84)
| ~ c2_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c0_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85) ) )
| hskp3 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| hskp4
| hskp3 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c3_1(X87) ) )
| hskp20
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c0_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp22 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90) ) )
| hskp2
| hskp11 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c2_1(X92)
| ~ c3_1(X92) ) )
| hskp20 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| c3_1(X93)
| ~ c1_1(X93) ) )
| hskp28
| hskp4 )
& ( ! [X94] :
( ndr1_0
=> ( c2_1(X94)
| c3_1(X94)
| ~ c1_1(X94) ) )
| hskp2
| hskp7 )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ~ c0_1(X95)
| ~ c1_1(X95) ) )
| hskp27
| hskp23 )
& ( ! [X96] :
( ndr1_0
=> ( c2_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp9 )
& ( ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| hskp7
| hskp16 )
& ( ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98) ) )
| hskp25
| hskp28 )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| ~ c1_1(X99)
| ~ c3_1(X99) ) )
| hskp2
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( c3_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp4
| hskp5 )
& ( ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101) ) )
| hskp20 )
& ( ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| hskp20
| hskp5 )
& ( ! [X103] :
( ndr1_0
=> ( c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103) ) )
| hskp12
| hskp10 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c1_1(X104)
| ~ c2_1(X104) ) )
| hskp19
| hskp24 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp22
| hskp11 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp4
| hskp9 )
& ( hskp25
| hskp24
| hskp21 )
& ( hskp15
| hskp7
| hskp3 )
& ( hskp18
| hskp20
| hskp23 )
& ( hskp8
| hskp3
| hskp17 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a400)
& c2_1(a400)
& ~ c3_1(a400) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a401)
& c1_1(a401)
& ~ c3_1(a401) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a402)
& ~ c1_1(a402)
& ~ c2_1(a402) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c0_1(a403)
& ~ c2_1(a403)
& ~ c3_1(a403) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a404)
& c3_1(a404)
& ~ c2_1(a404) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a408)
& c3_1(a408)
& ~ c0_1(a408) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a409)
& ~ c0_1(a409)
& ~ c3_1(a409) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a410)
& ~ c1_1(a410)
& ~ c3_1(a410) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a415)
& c3_1(a415)
& ~ c1_1(a415) ) )
& ( ~ hskp9
| ( ndr1_0
& c3_1(a416)
& ~ c0_1(a416)
& ~ c1_1(a416) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a418)
& ~ c0_1(a418)
& ~ c2_1(a418) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a420)
& ~ c1_1(a420)
& ~ c2_1(a420) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a426)
& c1_1(a426)
& ~ c2_1(a426) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a427)
& c2_1(a427)
& ~ c0_1(a427) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a428)
& ~ c0_1(a428)
& ~ c1_1(a428) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a430)
& c2_1(a430)
& ~ c3_1(a430) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a434)
& ~ c0_1(a434)
& ~ c3_1(a434) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a439)
& ~ c2_1(a439)
& ~ c3_1(a439) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a440)
& ~ c2_1(a440)
& ~ c3_1(a440) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a445)
& c3_1(a445)
& ~ c0_1(a445) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a449)
& c3_1(a449)
& ~ c2_1(a449) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a450)
& ~ c1_1(a450)
& ~ c3_1(a450) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a451)
& c2_1(a451)
& ~ c1_1(a451) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a460)
& ~ c2_1(a460)
& ~ c3_1(a460) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a477)
& ~ c0_1(a477)
& ~ c2_1(a477) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a405)
& c1_1(a405)
& c3_1(a405) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a407)
& c2_1(a407)
& c3_1(a407) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a412)
& c1_1(a412)
& c2_1(a412) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a414)
& c2_1(a414)
& c3_1(a414) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c0_1(X4)
| ~ c2_1(X4)
| ~ c3_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp1
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c3_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| c3_1(X8)
| ~ c2_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| ~ c1_1(X10)
| ~ c2_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c2_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15) ) )
| hskp4 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c1_1(X17)
| c2_1(X17)
| ~ c0_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c1_1(X18)
| ~ c0_1(X18)
| ~ c3_1(X18) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c2_1(X19) ) )
| hskp25
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp26
| hskp5 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c3_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c2_1(X23)
| ~ c3_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| hskp6 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c1_1(X26)
| ~ c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c2_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp7 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29) ) )
| hskp4 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| c3_1(X30) ) )
| hskp27
| hskp0 )
& ( ! [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) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp28 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| hskp8
| hskp9 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c2_1(X37)
| ~ c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38) ) )
| hskp4 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c2_1(X40)
| ~ c1_1(X40)
| ~ c3_1(X40) ) )
| hskp10 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| hskp0
| hskp11 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| hskp5
| hskp3 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| hskp1 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48) ) )
| hskp9 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c3_1(X50)
| ~ c2_1(X50) ) )
| hskp12 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c3_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) )
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c1_1(X54)
| ~ c3_1(X54) ) )
| hskp14 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56) ) )
| hskp1 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp15
| hskp6 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| hskp27
| hskp9 )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| hskp16
| hskp3 )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c2_1(X65)
| ~ c3_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c3_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| hskp11 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| ~ c1_1(X69)
| ~ c2_1(X69) ) ) )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp4 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| ~ c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75) ) )
| hskp2
| hskp17 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| ~ c3_1(X76) ) )
| hskp18
| hskp3 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c2_1(X78)
| ~ c3_1(X78) ) )
| hskp9 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c3_1(X79)
| ~ c0_1(X79) ) )
| hskp12
| hskp1 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c2_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81) ) ) )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp19 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| ~ c0_1(X84)
| ~ c2_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c0_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85) ) )
| hskp3 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| hskp4
| hskp3 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c3_1(X87) ) )
| hskp20
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c0_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp22 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90) ) )
| hskp2
| hskp11 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c2_1(X92)
| ~ c3_1(X92) ) )
| hskp20 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| c3_1(X93)
| ~ c1_1(X93) ) )
| hskp28
| hskp4 )
& ( ! [X94] :
( ndr1_0
=> ( c2_1(X94)
| c3_1(X94)
| ~ c1_1(X94) ) )
| hskp2
| hskp7 )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ~ c0_1(X95)
| ~ c1_1(X95) ) )
| hskp27
| hskp23 )
& ( ! [X96] :
( ndr1_0
=> ( c2_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp9 )
& ( ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| hskp7
| hskp16 )
& ( ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98) ) )
| hskp25
| hskp28 )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| ~ c1_1(X99)
| ~ c3_1(X99) ) )
| hskp2
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( c3_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp4
| hskp5 )
& ( ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101) ) )
| hskp20 )
& ( ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| hskp20
| hskp5 )
& ( ! [X103] :
( ndr1_0
=> ( c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103) ) )
| hskp12
| hskp10 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c1_1(X104)
| ~ c2_1(X104) ) )
| hskp19
| hskp24 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp22
| hskp11 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp4
| hskp9 )
& ( hskp25
| hskp24
| hskp21 )
& ( hskp15
| hskp7
| hskp3 )
& ( hskp18
| hskp20
| hskp23 )
& ( hskp8
| hskp3
| hskp17 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a400)
& c2_1(a400)
& ~ c3_1(a400) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a401)
& c1_1(a401)
& ~ c3_1(a401) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a402)
& ~ c1_1(a402)
& ~ c2_1(a402) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c0_1(a403)
& ~ c2_1(a403)
& ~ c3_1(a403) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a404)
& c3_1(a404)
& ~ c2_1(a404) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a408)
& c3_1(a408)
& ~ c0_1(a408) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a409)
& ~ c0_1(a409)
& ~ c3_1(a409) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a410)
& ~ c1_1(a410)
& ~ c3_1(a410) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a415)
& c3_1(a415)
& ~ c1_1(a415) ) )
& ( ~ hskp9
| ( ndr1_0
& c3_1(a416)
& ~ c0_1(a416)
& ~ c1_1(a416) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a418)
& ~ c0_1(a418)
& ~ c2_1(a418) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a420)
& ~ c1_1(a420)
& ~ c2_1(a420) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a426)
& c1_1(a426)
& ~ c2_1(a426) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a427)
& c2_1(a427)
& ~ c0_1(a427) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a428)
& ~ c0_1(a428)
& ~ c1_1(a428) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a430)
& c2_1(a430)
& ~ c3_1(a430) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a434)
& ~ c0_1(a434)
& ~ c3_1(a434) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a439)
& ~ c2_1(a439)
& ~ c3_1(a439) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a440)
& ~ c2_1(a440)
& ~ c3_1(a440) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a445)
& c3_1(a445)
& ~ c0_1(a445) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a449)
& c3_1(a449)
& ~ c2_1(a449) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a450)
& ~ c1_1(a450)
& ~ c3_1(a450) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a451)
& c2_1(a451)
& ~ c1_1(a451) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a460)
& ~ c2_1(a460)
& ~ c3_1(a460) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a477)
& ~ c0_1(a477)
& ~ c2_1(a477) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a405)
& c1_1(a405)
& c3_1(a405) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a407)
& c2_1(a407)
& c3_1(a407) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a412)
& c1_1(a412)
& c2_1(a412) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a414)
& c2_1(a414)
& c3_1(a414) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c0_1(X4)
| ~ c2_1(X4)
| ~ c3_1(X4) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp1
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| ~ c3_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| c3_1(X8)
| ~ c2_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c3_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c3_1(X10)
| ~ c1_1(X10)
| ~ c2_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c2_1(X12)
| c3_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13) ) ) )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15) ) )
| hskp4 )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c1_1(X17)
| c2_1(X17)
| ~ c0_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c1_1(X18)
| ~ c0_1(X18)
| ~ c3_1(X18) ) ) )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c2_1(X19) ) )
| hskp25
| hskp3 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp26
| hskp5 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| c3_1(X22)
| ~ c2_1(X22) ) )
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c2_1(X23)
| ~ c3_1(X23) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25) ) )
| hskp6 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c1_1(X26)
| ~ c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c2_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp7 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29) ) )
| hskp4 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| c3_1(X30) ) )
| hskp27
| hskp0 )
& ( ! [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) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c2_1(X35)
| ~ c3_1(X35) ) )
| hskp28 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| hskp8
| hskp9 )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| c2_1(X37)
| ~ c3_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38) ) )
| hskp4 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c2_1(X40)
| ~ c1_1(X40)
| ~ c3_1(X40) ) )
| hskp10 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| hskp0
| hskp11 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42) ) )
| hskp5
| hskp3 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46) ) )
| hskp1 )
& ( ! [X47] :
( ndr1_0
=> ( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48) ) )
| hskp9 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c3_1(X50)
| ~ c2_1(X50) ) )
| hskp12 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| c3_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) )
| hskp13 )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c1_1(X54)
| ~ c3_1(X54) ) )
| hskp14 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56) ) )
| hskp1 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp15
| hskp6 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63) ) )
| hskp27
| hskp9 )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| hskp16
| hskp3 )
& ( ! [X65] :
( ndr1_0
=> ( c0_1(X65)
| ~ c2_1(X65)
| ~ c3_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c3_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66) ) )
| hskp11 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( ~ c0_1(X69)
| ~ c1_1(X69)
| ~ c2_1(X69) ) ) )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| ~ c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp4 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| ~ c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75) ) )
| hskp2
| hskp17 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| ~ c3_1(X76) ) )
| hskp18
| hskp3 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c3_1(X77)
| ~ c0_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( ~ c1_1(X78)
| ~ c2_1(X78)
| ~ c3_1(X78) ) )
| hskp9 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c3_1(X79)
| ~ c0_1(X79) ) )
| hskp12
| hskp1 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c2_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81) ) ) )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp19 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| ~ c0_1(X84)
| ~ c2_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( ~ c0_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85) ) )
| hskp3 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| hskp4
| hskp3 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c3_1(X87) ) )
| hskp20
| hskp21 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| c3_1(X88)
| ~ c0_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp22 )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90) ) )
| hskp2
| hskp11 )
& ( ! [X91] :
( ndr1_0
=> ( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c2_1(X92)
| ~ c3_1(X92) ) )
| hskp20 )
& ( ! [X93] :
( ndr1_0
=> ( c2_1(X93)
| c3_1(X93)
| ~ c1_1(X93) ) )
| hskp28
| hskp4 )
& ( ! [X94] :
( ndr1_0
=> ( c2_1(X94)
| c3_1(X94)
| ~ c1_1(X94) ) )
| hskp2
| hskp7 )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ~ c0_1(X95)
| ~ c1_1(X95) ) )
| hskp27
| hskp23 )
& ( ! [X96] :
( ndr1_0
=> ( c2_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp9 )
& ( ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| hskp7
| hskp16 )
& ( ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98) ) )
| hskp25
| hskp28 )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| ~ c1_1(X99)
| ~ c3_1(X99) ) )
| hskp2
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( c3_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp4
| hskp5 )
& ( ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101) ) )
| hskp20 )
& ( ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| hskp20
| hskp5 )
& ( ! [X103] :
( ndr1_0
=> ( c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103) ) )
| hskp12
| hskp10 )
& ( ! [X104] :
( ndr1_0
=> ( ~ c0_1(X104)
| ~ c1_1(X104)
| ~ c2_1(X104) ) )
| hskp19
| hskp24 )
& ( ! [X105] :
( ndr1_0
=> ( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105) ) )
| hskp22
| hskp11 )
& ( ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) )
| hskp4
| hskp9 )
& ( hskp25
| hskp24
| hskp21 )
& ( hskp15
| hskp7
| hskp3 )
& ( hskp18
| hskp20
| hskp23 )
& ( hskp8
| hskp3
| hskp17 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a400)
& c2_1(a400)
& ~ c3_1(a400) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a401)
& c1_1(a401)
& ~ c3_1(a401) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a402)
& ~ c1_1(a402)
& ~ c2_1(a402) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c0_1(a403)
& ~ c2_1(a403)
& ~ c3_1(a403) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a404)
& c3_1(a404)
& ~ c2_1(a404) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a408)
& c3_1(a408)
& ~ c0_1(a408) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a409)
& ~ c0_1(a409)
& ~ c3_1(a409) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a410)
& ~ c1_1(a410)
& ~ c3_1(a410) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a415)
& c3_1(a415)
& ~ c1_1(a415) ) )
& ( ~ hskp9
| ( ndr1_0
& c3_1(a416)
& ~ c0_1(a416)
& ~ c1_1(a416) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a418)
& ~ c0_1(a418)
& ~ c2_1(a418) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a420)
& ~ c1_1(a420)
& ~ c2_1(a420) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a426)
& c1_1(a426)
& ~ c2_1(a426) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a427)
& c2_1(a427)
& ~ c0_1(a427) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a428)
& ~ c0_1(a428)
& ~ c1_1(a428) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a430)
& c2_1(a430)
& ~ c3_1(a430) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a434)
& ~ c0_1(a434)
& ~ c3_1(a434) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a439)
& ~ c2_1(a439)
& ~ c3_1(a439) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a440)
& ~ c2_1(a440)
& ~ c3_1(a440) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a445)
& c3_1(a445)
& ~ c0_1(a445) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a449)
& c3_1(a449)
& ~ c2_1(a449) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a450)
& ~ c1_1(a450)
& ~ c3_1(a450) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a451)
& c2_1(a451)
& ~ c1_1(a451) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a460)
& ~ c2_1(a460)
& ~ c3_1(a460) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a477)
& ~ c0_1(a477)
& ~ c2_1(a477) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a405)
& c1_1(a405)
& c3_1(a405) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a407)
& c2_1(a407)
& c3_1(a407) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a412)
& c1_1(a412)
& c2_1(a412) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a414)
& c2_1(a414)
& c3_1(a414) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( ~ c0_1(X4)
| ~ c2_1(X4)
| ~ c3_1(X4)
| ~ ndr1_0 ) )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp1
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c1_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( c1_1(X8)
| c3_1(X8)
| ~ c2_1(X8)
| ~ ndr1_0 ) )
& ( ! [X9] :
( c0_1(X9)
| c1_1(X9)
| c3_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c3_1(X10)
| ~ c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c2_1(X12)
| c3_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13)
| ~ ndr1_0 ) )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16)
| ~ ndr1_0 )
| ! [X17] :
( c1_1(X17)
| c2_1(X17)
| ~ c0_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( c1_1(X18)
| ~ c0_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 ) )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c2_1(X19)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X20] :
( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20)
| ~ ndr1_0 )
| hskp26
| hskp5 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| c3_1(X22)
| ~ c2_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c1_1(X23)
| c2_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X26] :
( c0_1(X26)
| c1_1(X26)
| ~ c3_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c2_1(X27)
| c3_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X28] :
( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c3_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| c3_1(X30)
| ~ ndr1_0 )
| hskp27
| hskp0 )
& ( ! [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 )
| ! [X35] :
( c1_1(X35)
| c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| hskp8
| hskp9 )
& ( ! [X37] :
( c0_1(X37)
| c2_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X39] :
( c0_1(X39)
| c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c2_1(X40)
| ~ c1_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X41] :
( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| hskp0
| hskp11 )
& ( ! [X42] :
( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp5
| hskp3 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X45] :
( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X47] :
( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c1_1(X50)
| c3_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X51] :
( c0_1(X51)
| c3_1(X51)
| ~ c2_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c2_1(X54)
| ~ c1_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X57] :
( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 ) )
& ( ! [X60] :
( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60)
| ~ ndr1_0 )
| hskp15
| hskp6 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 ) )
& ( ! [X63] :
( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 )
| hskp27
| hskp9 )
& ( ! [X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0 )
| hskp16
| hskp3 )
& ( ! [X65] :
( c0_1(X65)
| ~ c2_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( c3_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| ! [X68] :
( c2_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( ~ c0_1(X69)
| ~ c1_1(X69)
| ~ c2_1(X69)
| ~ ndr1_0 ) )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| ~ c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74)
| ~ ndr1_0 ) )
& ( ! [X75] :
( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| hskp2
| hskp17 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| hskp18
| hskp3 )
& ( ! [X77] :
( c1_1(X77)
| c3_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( ~ c1_1(X78)
| ~ c2_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X79] :
( c1_1(X79)
| c3_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| hskp12
| hskp1 )
& ( ! [X80] :
( c1_1(X80)
| c3_1(X80)
| ~ c2_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81)
| ~ ndr1_0 ) )
& ( ! [X82] :
( c1_1(X82)
| c3_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X84] :
( c1_1(X84)
| ~ c0_1(X84)
| ~ c2_1(X84)
| ~ ndr1_0 )
| ! [X85] :
( ~ c0_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X86] :
( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| hskp4
| hskp3 )
& ( ! [X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c3_1(X87)
| ~ ndr1_0 )
| hskp20
| hskp21 )
& ( ! [X88] :
( c2_1(X88)
| c3_1(X88)
| ~ c0_1(X88)
| ~ ndr1_0 )
| ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90)
| ~ ndr1_0 )
| hskp2
| hskp11 )
& ( ! [X91] :
( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( ~ c0_1(X92)
| ~ c2_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X93] :
( c2_1(X93)
| c3_1(X93)
| ~ c1_1(X93)
| ~ ndr1_0 )
| hskp28
| hskp4 )
& ( ! [X94] :
( c2_1(X94)
| c3_1(X94)
| ~ c1_1(X94)
| ~ ndr1_0 )
| hskp2
| hskp7 )
& ( ! [X95] :
( c2_1(X95)
| ~ c0_1(X95)
| ~ c1_1(X95)
| ~ ndr1_0 )
| hskp27
| hskp23 )
& ( ! [X96] :
( c2_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp9 )
& ( ! [X97] :
( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp7
| hskp16 )
& ( ! [X98] :
( c2_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp25
| hskp28 )
& ( ! [X99] :
( c2_1(X99)
| ~ c1_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp2
| hskp13 )
& ( ! [X100] :
( c3_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| hskp4
| hskp5 )
& ( ! [X101] :
( c3_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X102] :
( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102)
| ~ ndr1_0 )
| hskp20
| hskp5 )
& ( ! [X103] :
( c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103)
| ~ ndr1_0 )
| hskp12
| hskp10 )
& ( ! [X104] :
( ~ c0_1(X104)
| ~ c1_1(X104)
| ~ c2_1(X104)
| ~ ndr1_0 )
| hskp19
| hskp24 )
& ( ! [X105] :
( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| hskp22
| hskp11 )
& ( ! [X106] :
( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp4
| hskp9 )
& ( hskp25
| hskp24
| hskp21 )
& ( hskp15
| hskp7
| hskp3 )
& ( hskp18
| hskp20
| hskp23 )
& ( hskp8
| hskp3
| hskp17 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c1_1(a400)
& c2_1(a400)
& ~ c3_1(a400) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a401)
& c1_1(a401)
& ~ c3_1(a401) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a402)
& ~ c1_1(a402)
& ~ c2_1(a402) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ c0_1(a403)
& ~ c2_1(a403)
& ~ c3_1(a403) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a404)
& c3_1(a404)
& ~ c2_1(a404) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a408)
& c3_1(a408)
& ~ c0_1(a408) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a409)
& ~ c0_1(a409)
& ~ c3_1(a409) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a410)
& ~ c1_1(a410)
& ~ c3_1(a410) ) )
& ( ~ hskp8
| ( ndr1_0
& c2_1(a415)
& c3_1(a415)
& ~ c1_1(a415) ) )
& ( ~ hskp9
| ( ndr1_0
& c3_1(a416)
& ~ c0_1(a416)
& ~ c1_1(a416) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a418)
& ~ c0_1(a418)
& ~ c2_1(a418) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a420)
& ~ c1_1(a420)
& ~ c2_1(a420) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a426)
& c1_1(a426)
& ~ c2_1(a426) ) )
& ( ~ hskp13
| ( ndr1_0
& c1_1(a427)
& c2_1(a427)
& ~ c0_1(a427) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a428)
& ~ c0_1(a428)
& ~ c1_1(a428) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a430)
& c2_1(a430)
& ~ c3_1(a430) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a434)
& ~ c0_1(a434)
& ~ c3_1(a434) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a439)
& ~ c2_1(a439)
& ~ c3_1(a439) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a440)
& ~ c2_1(a440)
& ~ c3_1(a440) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a445)
& c3_1(a445)
& ~ c0_1(a445) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a449)
& c3_1(a449)
& ~ c2_1(a449) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a450)
& ~ c1_1(a450)
& ~ c3_1(a450) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a451)
& c2_1(a451)
& ~ c1_1(a451) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a460)
& ~ c2_1(a460)
& ~ c3_1(a460) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a477)
& ~ c0_1(a477)
& ~ c2_1(a477) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a405)
& c1_1(a405)
& c3_1(a405) ) )
& ( ~ hskp26
| ( ndr1_0
& c1_1(a407)
& c2_1(a407)
& c3_1(a407) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a412)
& c1_1(a412)
& c2_1(a412) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a414)
& c2_1(a414)
& c3_1(a414) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( ~ c0_1(X4)
| ~ c2_1(X4)
| ~ c3_1(X4)
| ~ ndr1_0 ) )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp1
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c1_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( c1_1(X8)
| c3_1(X8)
| ~ c2_1(X8)
| ~ ndr1_0 ) )
& ( ! [X9] :
( c0_1(X9)
| c1_1(X9)
| c3_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c3_1(X10)
| ~ c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c2_1(X12)
| c3_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c2_1(X13)
| c3_1(X13)
| ~ c1_1(X13)
| ~ ndr1_0 ) )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c2_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16)
| ~ ndr1_0 )
| ! [X17] :
( c1_1(X17)
| c2_1(X17)
| ~ c0_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( c1_1(X18)
| ~ c0_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 ) )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c2_1(X19)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X20] :
( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20)
| ~ ndr1_0 )
| hskp26
| hskp5 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| c3_1(X22)
| ~ c2_1(X22)
| ~ ndr1_0 )
| ! [X23] :
( c1_1(X23)
| c2_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 ) )
& ( ! [X24] :
( c0_1(X24)
| c1_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c0_1(X25)
| c3_1(X25)
| ~ c2_1(X25)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X26] :
( c0_1(X26)
| c1_1(X26)
| ~ c3_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c2_1(X27)
| c3_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X28] :
( c0_1(X28)
| c1_1(X28)
| ~ c3_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c3_1(X29)
| ~ c0_1(X29)
| ~ c1_1(X29)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| c3_1(X30)
| ~ ndr1_0 )
| hskp27
| hskp0 )
& ( ! [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 )
| ! [X35] :
( c1_1(X35)
| c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| hskp8
| hskp9 )
& ( ! [X37] :
( c0_1(X37)
| c2_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( c1_1(X38)
| ~ c0_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X39] :
( c0_1(X39)
| c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c2_1(X40)
| ~ c1_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X41] :
( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| hskp0
| hskp11 )
& ( ! [X42] :
( c0_1(X42)
| c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp5
| hskp3 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X45] :
( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c0_1(X46)
| ~ c2_1(X46)
| ~ c3_1(X46)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X47] :
( c0_1(X47)
| c3_1(X47)
| ~ c2_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( c1_1(X48)
| c2_1(X48)
| ~ c0_1(X48)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c1_1(X50)
| c3_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X51] :
( c0_1(X51)
| c3_1(X51)
| ~ c2_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c2_1(X54)
| ~ c1_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| c3_1(X56)
| ~ c0_1(X56)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X57] :
( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c3_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 ) )
& ( ! [X60] :
( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60)
| ~ ndr1_0 )
| hskp15
| hskp6 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c0_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 ) )
& ( ! [X63] :
( c0_1(X63)
| ~ c1_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 )
| hskp27
| hskp9 )
& ( ! [X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0 )
| hskp16
| hskp3 )
& ( ! [X65] :
( c0_1(X65)
| ~ c2_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( c3_1(X66)
| ~ c0_1(X66)
| ~ c1_1(X66)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| ! [X68] :
( c2_1(X68)
| ~ c0_1(X68)
| ~ c1_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( ~ c0_1(X69)
| ~ c1_1(X69)
| ~ c2_1(X69)
| ~ ndr1_0 ) )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| ~ c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74)
| ~ ndr1_0 ) )
& ( ! [X75] :
( c1_1(X75)
| c2_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| hskp2
| hskp17 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| hskp18
| hskp3 )
& ( ! [X77] :
( c1_1(X77)
| c3_1(X77)
| ~ c0_1(X77)
| ~ ndr1_0 )
| ! [X78] :
( ~ c1_1(X78)
| ~ c2_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X79] :
( c1_1(X79)
| c3_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| hskp12
| hskp1 )
& ( ! [X80] :
( c1_1(X80)
| c3_1(X80)
| ~ c2_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c3_1(X81)
| ~ c0_1(X81)
| ~ c1_1(X81)
| ~ ndr1_0 ) )
& ( ! [X82] :
( c1_1(X82)
| c3_1(X82)
| ~ c2_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X84] :
( c1_1(X84)
| ~ c0_1(X84)
| ~ c2_1(X84)
| ~ ndr1_0 )
| ! [X85] :
( ~ c0_1(X85)
| ~ c2_1(X85)
| ~ c3_1(X85)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X86] :
( c1_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| hskp4
| hskp3 )
& ( ! [X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c3_1(X87)
| ~ ndr1_0 )
| hskp20
| hskp21 )
& ( ! [X88] :
( c2_1(X88)
| c3_1(X88)
| ~ c0_1(X88)
| ~ ndr1_0 )
| ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c0_1(X90)
| ~ ndr1_0 )
| hskp2
| hskp11 )
& ( ! [X91] :
( c2_1(X91)
| c3_1(X91)
| ~ c1_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( ~ c0_1(X92)
| ~ c2_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X93] :
( c2_1(X93)
| c3_1(X93)
| ~ c1_1(X93)
| ~ ndr1_0 )
| hskp28
| hskp4 )
& ( ! [X94] :
( c2_1(X94)
| c3_1(X94)
| ~ c1_1(X94)
| ~ ndr1_0 )
| hskp2
| hskp7 )
& ( ! [X95] :
( c2_1(X95)
| ~ c0_1(X95)
| ~ c1_1(X95)
| ~ ndr1_0 )
| hskp27
| hskp23 )
& ( ! [X96] :
( c2_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp9 )
& ( ! [X97] :
( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp7
| hskp16 )
& ( ! [X98] :
( c2_1(X98)
| ~ c1_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp25
| hskp28 )
& ( ! [X99] :
( c2_1(X99)
| ~ c1_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp2
| hskp13 )
& ( ! [X100] :
( c3_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| hskp4
| hskp5 )
& ( ! [X101] :
( c3_1(X101)
| ~ c0_1(X101)
| ~ c1_1(X101)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X102] :
( c3_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102)
| ~ ndr1_0 )
| hskp20
| hskp5 )
& ( ! [X103] :
( c3_1(X103)
| ~ c1_1(X103)
| ~ c2_1(X103)
| ~ ndr1_0 )
| hskp12
| hskp10 )
& ( ! [X104] :
( ~ c0_1(X104)
| ~ c1_1(X104)
| ~ c2_1(X104)
| ~ ndr1_0 )
| hskp19
| hskp24 )
& ( ! [X105] :
( ~ c0_1(X105)
| ~ c2_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| hskp22
| hskp11 )
& ( ! [X106] :
( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp4
| hskp9 )
& ( hskp25
| hskp24
| hskp21 )
& ( hskp15
| hskp7
| hskp3 )
& ( hskp18
| hskp20
| hskp23 )
& ( hskp8
| hskp3
| hskp17 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( hskp0
| ~ c3_1(X1)
| ~ c2_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,X4] :
( ~ c3_1(X4)
| ~ c2_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X3)
| ~ c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X5] :
( hskp2
| hskp1
| ~ ndr1_0
| c2_1(X5)
| c1_1(X5)
| c0_1(X5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X11,X12,X13] :
( ~ c1_1(X13)
| c3_1(X13)
| c2_1(X13)
| c3_1(X12)
| c2_1(X12)
| c0_1(X12)
| ~ ndr1_0
| ~ c2_1(X11)
| c1_1(X11)
| c0_1(X11) ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X18,X16,X17] :
( ~ c3_1(X18)
| ~ c0_1(X18)
| c1_1(X18)
| ~ c0_1(X17)
| c2_1(X17)
| c1_1(X17)
| ~ ndr1_0
| ~ c2_1(X16)
| c1_1(X16)
| c0_1(X16) ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X21,X22,X23] :
( ~ c3_1(X23)
| c2_1(X23)
| c1_1(X23)
| ~ c2_1(X22)
| c3_1(X22)
| c0_1(X22)
| ~ ndr1_0
| ~ c3_1(X21)
| c1_1(X21)
| c0_1(X21) ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X26,X27] :
( hskp7
| ~ c1_1(X27)
| c3_1(X27)
| c2_1(X27)
| ~ ndr1_0
| ~ c3_1(X26)
| c1_1(X26)
| c0_1(X26) ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X30] :
( hskp0
| hskp27
| ~ ndr1_0
| c3_1(X30)
| c2_1(X30)
| c0_1(X30) ),
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,X35] :
( hskp28
| ~ c3_1(X35)
| c2_1(X35)
| c1_1(X35)
| ~ ndr1_0
| ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X36] :
( hskp9
| hskp8
| ~ ndr1_0
| ~ c1_1(X36)
| c2_1(X36)
| c0_1(X36) ),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X40,X39] :
( hskp10
| ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40)
| ~ ndr1_0
| ~ c3_1(X39)
| c2_1(X39)
| c0_1(X39) ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X46,X45] :
( hskp1
| ~ c3_1(X46)
| ~ c2_1(X46)
| c0_1(X46)
| ~ ndr1_0
| ~ c2_1(X45)
| c3_1(X45)
| c0_1(X45) ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X48,X47] :
( hskp9
| ~ c0_1(X48)
| c2_1(X48)
| c1_1(X48)
| ~ ndr1_0
| ~ c2_1(X47)
| c3_1(X47)
| c0_1(X47) ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X54,X53] :
( hskp14
| ~ c3_1(X54)
| ~ c1_1(X54)
| c2_1(X54)
| ~ ndr1_0
| ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X56,X55] :
( hskp1
| ~ c0_1(X56)
| c3_1(X56)
| c1_1(X56)
| ~ ndr1_0
| ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X58,X59,X57] :
( ~ c2_1(X59)
| ~ c0_1(X59)
| c3_1(X59)
| ~ c3_1(X58)
| ~ c2_1(X58)
| c1_1(X58)
| ~ ndr1_0
| ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X60] :
( hskp6
| hskp15
| ~ ndr1_0
| ~ c2_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X62,X61] :
( ~ c3_1(X62)
| ~ c0_1(X62)
| c1_1(X62)
| ~ ndr1_0
| ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X64] :
( hskp3
| hskp16
| ~ ndr1_0
| ~ c3_1(X64)
| ~ c1_1(X64)
| c0_1(X64) ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X65,X66] :
( hskp11
| ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ~ ndr1_0
| ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X68,X69,X67] :
( ~ c2_1(X69)
| ~ c1_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X68)
| ~ c0_1(X68)
| c2_1(X68)
| ~ ndr1_0
| ~ c0_1(X67)
| c2_1(X67)
| c1_1(X67) ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X79] :
( hskp1
| hskp12
| ~ ndr1_0
| ~ c0_1(X79)
| c3_1(X79)
| c1_1(X79) ),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X80,X81] :
( ~ c1_1(X81)
| ~ c0_1(X81)
| c3_1(X81)
| ~ ndr1_0
| ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
! [X84,X85] :
( hskp3
| ~ c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0
| ~ c2_1(X84)
| ~ c0_1(X84)
| c1_1(X84) ),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X88,X89] :
( hskp22
| ~ c3_1(X89)
| ~ c1_1(X89)
| c2_1(X89)
| ~ ndr1_0
| ~ c0_1(X88)
| c3_1(X88)
| c2_1(X88) ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X94] :
( hskp7
| hskp2
| ~ ndr1_0
| ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X95] :
( hskp23
| hskp27
| ~ ndr1_0
| ~ c1_1(X95)
| ~ c0_1(X95)
| c2_1(X95) ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X96] :
( hskp9
| hskp12
| ~ ndr1_0
| ~ c3_1(X96)
| ~ c0_1(X96)
| c2_1(X96) ),
inference(cnf_transformation,[],[f5]) ).
fof(f60,plain,
! [X97] :
( hskp16
| hskp7
| ~ ndr1_0
| ~ c3_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ),
inference(cnf_transformation,[],[f5]) ).
fof(f61,plain,
! [X98] :
( hskp28
| hskp25
| ~ ndr1_0
| ~ c3_1(X98)
| ~ c1_1(X98)
| c2_1(X98) ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X99] :
( hskp13
| hskp2
| ~ ndr1_0
| ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99) ),
inference(cnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X100] :
( hskp5
| hskp4
| ~ ndr1_0
| ~ c1_1(X100)
| ~ c0_1(X100)
| c3_1(X100) ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
! [X101] :
( hskp20
| ~ ndr1_0
| ~ c1_1(X101)
| ~ c0_1(X101)
| c3_1(X101) ),
inference(cnf_transformation,[],[f5]) ).
fof(f65,plain,
! [X102] :
( hskp5
| hskp20
| ~ ndr1_0
| ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X104] :
( hskp24
| hskp19
| ~ ndr1_0
| ~ c2_1(X104)
| ~ c1_1(X104)
| ~ c0_1(X104) ),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
! [X105] :
( hskp11
| hskp22
| ~ ndr1_0
| ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ),
inference(cnf_transformation,[],[f5]) ).
fof(f71,plain,
( c2_1(a400)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f72,plain,
( c1_1(a400)
| ~ hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( ~ c3_1(a401)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( c1_1(a401)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( c0_1(a401)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( ~ c2_1(a402)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ c1_1(a402)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( c0_1(a402)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
( ~ c3_1(a403)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
( ~ c2_1(a403)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( ~ c0_1(a403)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ c2_1(a404)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( c0_1(a404)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ c0_1(a408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
( c3_1(a408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( c2_1(a408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( ~ c3_1(a409)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ c0_1(a409)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( c2_1(a409)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ c3_1(a410)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ c1_1(a410)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( c0_1(a410)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ c1_1(a415)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( c2_1(a415)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
( ~ c0_1(a416)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( c3_1(a416)
| ~ hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ c0_1(a418)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( c1_1(a418)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ c2_1(a420)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ c1_1(a420)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ c0_1(a420)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
( ~ c2_1(a426)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
( c1_1(a426)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( c0_1(a426)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ~ c0_1(a427)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( c2_1(a427)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( c1_1(a427)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( ~ c1_1(a428)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ c0_1(a428)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( c2_1(a428)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( ~ c3_1(a430)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( c2_1(a430)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( c0_1(a430)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ c3_1(a434)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ c0_1(a434)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( c1_1(a434)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
( ~ c0_1(a445)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
( c3_1(a445)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( c1_1(a445)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ c2_1(a449)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( c3_1(a449)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( c1_1(a449)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
( ndr1_0
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ c1_1(a451)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( c2_1(a451)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( c0_1(a451)
| ~ hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ c3_1(a460)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ c2_1(a460)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( c1_1(a460)
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ c2_1(a477)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ c0_1(a477)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( c3_1(a477)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( c3_1(a405)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( c0_1(a405)
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
( ndr1_0
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( c2_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( c1_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( c0_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( c3_1(a414)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( c2_1(a414)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( c0_1(a414)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( hskp21
| hskp24
| hskp25 ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( hskp3
| hskp7
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( ~ hskp3
| ~ hskp7
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f193,plain,
( hskp21
| ~ hskp24
| hskp25 ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f195,plain,
( c0_1(a414)
| hskp28 ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f196,plain,
( c2_1(a414)
| hskp28 ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f197,plain,
( c3_1(a414)
| hskp28 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f203,plain,
( ~ ndr1_0
| ~ hskp25 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f204,plain,
( ~ ndr1_0
| hskp24 ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f205,plain,
( c3_1(a477)
| hskp24 ),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f206,plain,
( ~ c0_1(a477)
| hskp24 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f207,plain,
( ~ c2_1(a477)
| hskp24 ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f210,plain,
( ~ ndr1_0
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f220,plain,
( c0_1(a430)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f221,plain,
( c2_1(a430)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f222,plain,
( ~ c3_1(a430)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f227,plain,
( ~ c0_1(a420)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f228,plain,
( ~ c1_1(a420)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f229,plain,
( ~ c2_1(a420)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f231,plain,
( c1_1(a418)
| hskp10 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f232,plain,
( ~ c0_1(a418)
| hskp10 ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f235,plain,
( c3_1(a416)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f236,plain,
( ~ c0_1(a416)
| hskp9 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f239,plain,
( c2_1(a415)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f241,plain,
( ~ c1_1(a415)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f243,plain,
( c0_1(a410)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f244,plain,
( ~ c1_1(a410)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f245,plain,
( ~ c3_1(a410)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f249,plain,
( c0_1(a404)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f251,plain,
( ~ c2_1(a404)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f253,plain,
( ~ c0_1(a403)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f254,plain,
( ~ c2_1(a403)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f255,plain,
( ~ c3_1(a403)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f257,plain,
( c0_1(a402)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f258,plain,
( ~ c1_1(a402)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f259,plain,
( ~ c2_1(a402)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f261,plain,
( c0_1(a401)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f262,plain,
( c1_1(a401)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f263,plain,
( ~ c3_1(a401)
| hskp1 ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f266,plain,
! [X105] :
( ~ hskp11
| hskp22
| ndr1_0
| ~ c3_1(X105)
| ~ c2_1(X105)
| ~ c0_1(X105) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f267,plain,
! [X104] :
( ~ hskp24
| hskp19
| ndr1_0
| ~ c2_1(X104)
| ~ c1_1(X104)
| ~ c0_1(X104) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f269,plain,
! [X102] :
( hskp5
| hskp20
| ndr1_0
| ~ c1_1(X102)
| ~ c0_1(X102)
| c3_1(X102) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f270,plain,
! [X101] :
( hskp20
| ndr1_0
| ~ c1_1(X101)
| ~ c0_1(X101)
| c3_1(X101) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f271,plain,
! [X100] :
( hskp5
| ~ hskp4
| ndr1_0
| ~ c1_1(X100)
| ~ c0_1(X100)
| c3_1(X100) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f272,plain,
! [X99] :
( hskp13
| ~ hskp2
| ndr1_0
| ~ c3_1(X99)
| ~ c1_1(X99)
| c2_1(X99) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f273,plain,
! [X98] :
( ~ hskp28
| hskp25
| ndr1_0
| ~ c3_1(X98)
| ~ c1_1(X98)
| c2_1(X98) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f274,plain,
! [X97] :
( hskp16
| ~ hskp7
| ndr1_0
| ~ c3_1(X97)
| ~ c0_1(X97)
| c2_1(X97) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f275,plain,
! [X96] :
( ~ hskp9
| hskp12
| ndr1_0
| ~ c3_1(X96)
| ~ c0_1(X96)
| c2_1(X96) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f276,plain,
! [X95] :
( hskp23
| hskp27
| ndr1_0
| ~ c1_1(X95)
| ~ c0_1(X95)
| c2_1(X95) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f277,plain,
! [X94] :
( ~ hskp7
| ~ hskp2
| ndr1_0
| ~ c1_1(X94)
| c3_1(X94)
| c2_1(X94) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f281,plain,
! [X88,X89] :
( hskp22
| ~ c3_1(X89)
| ~ c1_1(X89)
| c2_1(X89)
| ndr1_0
| ~ c0_1(X88)
| c3_1(X88)
| c2_1(X88) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f284,plain,
! [X84,X85] :
( ~ hskp3
| ~ c3_1(X85)
| ~ c2_1(X85)
| ~ c0_1(X85)
| ndr1_0
| ~ c2_1(X84)
| ~ c0_1(X84)
| c1_1(X84) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f286,plain,
! [X80,X81] :
( ~ c1_1(X81)
| ~ c0_1(X81)
| c3_1(X81)
| ndr1_0
| ~ c2_1(X80)
| c3_1(X80)
| c1_1(X80) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f287,plain,
! [X79] :
( ~ hskp1
| hskp12
| ndr1_0
| ~ c0_1(X79)
| c3_1(X79)
| c1_1(X79) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f293,plain,
! [X68,X69,X67] :
( ~ c2_1(X69)
| ~ c1_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X68)
| ~ c0_1(X68)
| c2_1(X68)
| ndr1_0
| ~ c0_1(X67)
| c2_1(X67)
| c1_1(X67) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f294,plain,
! [X65,X66] :
( ~ hskp11
| ~ c1_1(X66)
| ~ c0_1(X66)
| c3_1(X66)
| ndr1_0
| ~ c3_1(X65)
| ~ c2_1(X65)
| c0_1(X65) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f295,plain,
! [X64] :
( ~ hskp3
| hskp16
| ndr1_0
| ~ c3_1(X64)
| ~ c1_1(X64)
| c0_1(X64) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f297,plain,
! [X62,X61] :
( ~ c3_1(X62)
| ~ c0_1(X62)
| c1_1(X62)
| ndr1_0
| ~ c3_1(X61)
| ~ c1_1(X61)
| c0_1(X61) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f298,plain,
! [X60] :
( hskp6
| ~ hskp15
| ndr1_0
| ~ c2_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f299,plain,
! [X58,X59,X57] :
( ~ c2_1(X59)
| ~ c0_1(X59)
| c3_1(X59)
| ~ c3_1(X58)
| ~ c2_1(X58)
| c1_1(X58)
| ndr1_0
| ~ c2_1(X57)
| ~ c1_1(X57)
| c0_1(X57) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f300,plain,
! [X56,X55] :
( ~ hskp1
| ~ c0_1(X56)
| c3_1(X56)
| c1_1(X56)
| ndr1_0
| ~ c2_1(X55)
| ~ c1_1(X55)
| c0_1(X55) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f301,plain,
! [X54,X53] :
( hskp14
| ~ c3_1(X54)
| ~ c1_1(X54)
| c2_1(X54)
| ndr1_0
| ~ c2_1(X53)
| c3_1(X53)
| c0_1(X53) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f304,plain,
! [X48,X47] :
( ~ hskp9
| ~ c0_1(X48)
| c2_1(X48)
| c1_1(X48)
| ndr1_0
| ~ c2_1(X47)
| c3_1(X47)
| c0_1(X47) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f305,plain,
! [X46,X45] :
( ~ hskp1
| ~ c3_1(X46)
| ~ c2_1(X46)
| c0_1(X46)
| ndr1_0
| ~ c2_1(X45)
| c3_1(X45)
| c0_1(X45) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f309,plain,
! [X40,X39] :
( ~ hskp10
| ~ c3_1(X40)
| ~ c1_1(X40)
| c2_1(X40)
| ndr1_0
| ~ c3_1(X39)
| c2_1(X39)
| c0_1(X39) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f311,plain,
! [X36] :
( ~ hskp9
| ~ hskp8
| ndr1_0
| ~ c1_1(X36)
| c2_1(X36)
| c0_1(X36) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f312,plain,
! [X34,X35] :
( ~ hskp28
| ~ c3_1(X35)
| c2_1(X35)
| c1_1(X35)
| ndr1_0
| ~ c1_1(X34)
| c2_1(X34)
| c0_1(X34) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f313,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(f314,plain,
! [X30] :
( hskp0
| hskp27
| ndr1_0
| c3_1(X30)
| c2_1(X30)
| c0_1(X30) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f316,plain,
! [X26,X27] :
( ~ hskp7
| ~ c1_1(X27)
| c3_1(X27)
| c2_1(X27)
| ndr1_0
| ~ c3_1(X26)
| c1_1(X26)
| c0_1(X26) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f318,plain,
! [X21,X22,X23] :
( ~ c3_1(X23)
| c2_1(X23)
| c1_1(X23)
| ~ c2_1(X22)
| c3_1(X22)
| c0_1(X22)
| ndr1_0
| ~ c3_1(X21)
| c1_1(X21)
| c0_1(X21) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f321,plain,
! [X18,X16,X17] :
( ~ c3_1(X18)
| ~ c0_1(X18)
| c1_1(X18)
| ~ c0_1(X17)
| c2_1(X17)
| c1_1(X17)
| ndr1_0
| ~ c2_1(X16)
| c1_1(X16)
| c0_1(X16) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f323,plain,
! [X11,X12,X13] :
( ~ c1_1(X13)
| c3_1(X13)
| c2_1(X13)
| c3_1(X12)
| c2_1(X12)
| c0_1(X12)
| ndr1_0
| ~ c2_1(X11)
| c1_1(X11)
| c0_1(X11) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f326,plain,
! [X5] :
( ~ hskp2
| ~ hskp1
| ndr1_0
| c2_1(X5)
| c1_1(X5)
| c0_1(X5) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f327,plain,
! [X2,X3,X4] :
( ~ c3_1(X4)
| ~ c2_1(X4)
| ~ c0_1(X4)
| ~ c1_1(X3)
| ~ c0_1(X3)
| c3_1(X3)
| ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f328,plain,
! [X0,X1] :
( hskp0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f330,definition,
( spl0_1
<=> ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f331,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f333,definition,
( spl0_2
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f337,definition,
( spl0_3
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f338,plain,
( ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f340,definition,
( spl0_4
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f343,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f328,f340,f337,f333,f330]) ).
fof(f345,definition,
( spl0_5
<=> ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f346,plain,
( ! [X3] :
( ~ c0_1(X3)
| c3_1(X3)
| ~ c1_1(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f348,definition,
( spl0_6
<=> ! [X4] :
( ~ c3_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f349,plain,
( ! [X4] :
( ~ c0_1(X4)
| ~ c3_1(X4)
| ~ c2_1(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl0_1
| spl0_2
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f327,f348,f345,f333,f330]) ).
fof(f352,definition,
( spl0_7
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f356,definition,
( spl0_8
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f359,plain,
( spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f326,f356,f352,f333,f330]) ).
fof(f364,definition,
( spl0_10
<=> ! [X7] :
( ~ c3_1(X7)
| c0_1(X7)
| c1_1(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f365,plain,
( ! [X7] :
( ~ c3_1(X7)
| c0_1(X7)
| c1_1(X7) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,definition,
( spl0_11
<=> ! [X8] :
( ~ c2_1(X8)
| c1_1(X8)
| c3_1(X8) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f368,plain,
( ! [X8] :
( c1_1(X8)
| ~ c2_1(X8)
| c3_1(X8) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f374,definition,
( spl0_13
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f379,definition,
( spl0_14
<=> ! [X11] :
( ~ c2_1(X11)
| c0_1(X11)
| c1_1(X11) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f380,plain,
( ! [X11] :
( ~ c2_1(X11)
| c0_1(X11)
| c1_1(X11) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,definition,
( spl0_15
<=> ! [X12] :
( c3_1(X12)
| c0_1(X12)
| c2_1(X12) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f383,plain,
( ! [X12] :
( c0_1(X12)
| c3_1(X12)
| c2_1(X12) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,definition,
( spl0_16
<=> ! [X13] :
( ~ c1_1(X13)
| c2_1(X13)
| c3_1(X13) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f386,plain,
( ! [X13] :
( ~ c1_1(X13)
| c2_1(X13)
| c3_1(X13) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( spl0_14
| spl0_2
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f323,f385,f382,f333,f379]) ).
fof(f389,definition,
( spl0_17
<=> ! [X15] :
( ~ c3_1(X15)
| c0_1(X15)
| c2_1(X15) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f390,plain,
( ! [X15] :
( ~ c3_1(X15)
| c0_1(X15)
| c2_1(X15) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,definition,
( spl0_18
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f397,definition,
( spl0_19
<=> ! [X17] :
( ~ c0_1(X17)
| c1_1(X17)
| c2_1(X17) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f398,plain,
( ! [X17] :
( ~ c0_1(X17)
| c1_1(X17)
| c2_1(X17) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,definition,
( spl0_20
<=> ! [X18] :
( ~ c3_1(X18)
| c1_1(X18)
| ~ c0_1(X18) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f401,plain,
( ! [X18] :
( c1_1(X18)
| ~ c3_1(X18)
| ~ c0_1(X18) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl0_14
| spl0_2
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f321,f400,f397,f333,f379]) ).
fof(f404,definition,
( spl0_21
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f413,definition,
( spl0_23
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f418,definition,
( spl0_24
<=> ! [X22] :
( ~ c2_1(X22)
| c0_1(X22)
| c3_1(X22) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f419,plain,
( ! [X22] :
( ~ c2_1(X22)
| c0_1(X22)
| c3_1(X22) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl0_25
<=> ! [X23] :
( ~ c3_1(X23)
| c1_1(X23)
| c2_1(X23) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f422,plain,
( ! [X23] :
( c1_1(X23)
| ~ c3_1(X23)
| c2_1(X23) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl0_10
| spl0_2
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f318,f421,f418,f333,f364]) ).
fof(f425,definition,
( spl0_26
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f430,definition,
( spl0_27
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f433,plain,
( spl0_10
| spl0_2
| spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f316,f430,f385,f333,f364]) ).
fof(f436,definition,
( spl0_28
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f439,plain,
( spl0_15
| spl0_2
| spl0_28
| spl0_4 ),
inference(avatar_split_clause,[],[f314,f340,f436,f333,f382]) ).
fof(f441,definition,
( spl0_29
<=> ! [X31] :
( ~ c1_1(X31)
| c0_1(X31)
| c2_1(X31) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f442,plain,
( ! [X31] :
( ~ c1_1(X31)
| c0_1(X31)
| c2_1(X31) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( spl0_29
| spl0_2
| spl0_3
| spl0_25 ),
inference(avatar_split_clause,[],[f313,f421,f337,f333,f441]) ).
fof(f445,definition,
( spl0_30
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f448,plain,
( spl0_29
| spl0_2
| spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f312,f445,f421,f333,f441]) ).
fof(f450,definition,
( spl0_31
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f454,definition,
( spl0_32
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f457,plain,
( spl0_29
| spl0_2
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f311,f454,f450,f333,f441]) ).
fof(f459,definition,
( spl0_33
<=> ! [X38] :
( ~ c2_1(X38)
| c1_1(X38)
| ~ c0_1(X38) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f460,plain,
( ! [X38] :
( ~ c2_1(X38)
| c1_1(X38)
| ~ c0_1(X38) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f463,definition,
( spl0_34
<=> ! [X40] :
( ~ c3_1(X40)
| c2_1(X40)
| ~ c1_1(X40) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f464,plain,
( ! [X40] :
( ~ c1_1(X40)
| c2_1(X40)
| ~ c3_1(X40) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,definition,
( spl0_35
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f469,plain,
( spl0_17
| spl0_2
| spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f309,f466,f463,f333,f389]) ).
fof(f471,definition,
( spl0_36
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f480,definition,
( spl0_38
<=> ! [X44] :
( ~ c0_1(X44)
| c1_1(X44)
| c3_1(X44) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f481,plain,
( ! [X44] :
( ~ c0_1(X44)
| c1_1(X44)
| c3_1(X44) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl0_24
| spl0_2
| spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f305,f352,f337,f333,f418]) ).
fof(f484,plain,
( spl0_24
| spl0_2
| spl0_19
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f304,f454,f397,f333,f418]) ).
fof(f486,definition,
( spl0_39
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f491,definition,
( spl0_40
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f496,definition,
( spl0_41
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f499,plain,
( spl0_24
| spl0_2
| spl0_34
| spl0_41 ),
inference(avatar_split_clause,[],[f301,f496,f463,f333,f418]) ).
fof(f501,definition,
( spl0_42
<=> ! [X55] :
( ~ c2_1(X55)
| c0_1(X55)
| ~ c1_1(X55) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f502,plain,
( ! [X55] :
( ~ c2_1(X55)
| c0_1(X55)
| ~ c1_1(X55) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( spl0_42
| spl0_2
| spl0_38
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f300,f352,f480,f333,f501]) ).
fof(f505,definition,
( spl0_43
<=> ! [X58] :
( ~ c3_1(X58)
| c1_1(X58)
| ~ c2_1(X58) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f506,plain,
( ! [X58] :
( ~ c3_1(X58)
| c1_1(X58)
| ~ c2_1(X58) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f508,definition,
( spl0_44
<=> ! [X59] :
( ~ c2_1(X59)
| c3_1(X59)
| ~ c0_1(X59) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f509,plain,
( ! [X59] :
( ~ c2_1(X59)
| c3_1(X59)
| ~ c0_1(X59) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f510,plain,
( spl0_42
| spl0_2
| spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f299,f508,f505,f333,f501]) ).
fof(f512,definition,
( spl0_45
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f515,plain,
( spl0_42
| spl0_2
| ~ spl0_45
| spl0_26 ),
inference(avatar_split_clause,[],[f298,f425,f512,f333,f501]) ).
fof(f517,definition,
( spl0_46
<=> ! [X61] :
( ~ c3_1(X61)
| c0_1(X61)
| ~ c1_1(X61) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f518,plain,
( ! [X61] :
( ~ c3_1(X61)
| c0_1(X61)
| ~ c1_1(X61) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( spl0_46
| spl0_2
| spl0_20 ),
inference(avatar_split_clause,[],[f297,f400,f333,f517]) ).
fof(f522,definition,
( spl0_47
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f525,plain,
( spl0_46
| spl0_2
| spl0_47
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f295,f374,f522,f333,f517]) ).
fof(f526,plain,
( spl0_3
| spl0_2
| spl0_5
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f294,f471,f345,f333,f337]) ).
fof(f528,definition,
( spl0_48
<=> ! [X68] :
( ~ c1_1(X68)
| c2_1(X68)
| ~ c0_1(X68) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f529,plain,
( ! [X68] :
( ~ c1_1(X68)
| c2_1(X68)
| ~ c0_1(X68) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,definition,
( spl0_49
<=> ! [X69] :
( ~ c2_1(X69)
| ~ c0_1(X69)
| ~ c1_1(X69) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f532,plain,
( ! [X69] :
( ~ c0_1(X69)
| ~ c2_1(X69)
| ~ c1_1(X69) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f533,plain,
( spl0_19
| spl0_2
| spl0_48
| spl0_49 ),
inference(avatar_split_clause,[],[f293,f531,f528,f333,f397]) ).
fof(f536,definition,
( spl0_50
<=> ! [X74] :
( ~ c0_1(X74)
| c2_1(X74)
| c3_1(X74) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f537,plain,
( ! [X74] :
( ~ c0_1(X74)
| c2_1(X74)
| c3_1(X74) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f553,plain,
( spl0_38
| spl0_2
| spl0_39
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f287,f352,f486,f333,f480]) ).
fof(f554,plain,
( spl0_11
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f286,f345,f333,f367]) ).
fof(f556,definition,
( spl0_54
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f560,plain,
( spl0_33
| spl0_2
| spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f284,f374,f348,f333,f459]) ).
fof(f563,definition,
( spl0_55
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f567,definition,
( spl0_56
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f572,definition,
( spl0_57
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f575,plain,
( spl0_50
| spl0_2
| spl0_34
| spl0_57 ),
inference(avatar_split_clause,[],[f281,f572,f463,f333,f536]) ).
fof(f579,plain,
( spl0_16
| spl0_2
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f277,f430,f356,f333,f385]) ).
fof(f581,definition,
( spl0_58
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f584,plain,
( spl0_48
| spl0_2
| spl0_28
| spl0_58 ),
inference(avatar_split_clause,[],[f276,f581,f436,f333,f528]) ).
fof(f586,definition,
( spl0_59
<=> ! [X96] :
( ~ c3_1(X96)
| c2_1(X96)
| ~ c0_1(X96) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f587,plain,
( ! [X96] :
( ~ c3_1(X96)
| c2_1(X96)
| ~ c0_1(X96) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f588,plain,
( spl0_59
| spl0_2
| spl0_39
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f275,f454,f486,f333,f586]) ).
fof(f589,plain,
( spl0_59
| spl0_2
| ~ spl0_27
| spl0_47 ),
inference(avatar_split_clause,[],[f274,f522,f430,f333,f586]) ).
fof(f590,plain,
( spl0_34
| spl0_2
| spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f273,f445,f404,f333,f463]) ).
fof(f591,plain,
( spl0_34
| spl0_2
| ~ spl0_8
| spl0_40 ),
inference(avatar_split_clause,[],[f272,f491,f356,f333,f463]) ).
fof(f592,plain,
( spl0_5
| spl0_2
| ~ spl0_18
| spl0_23 ),
inference(avatar_split_clause,[],[f271,f413,f392,f333,f345]) ).
fof(f593,plain,
( spl0_5
| spl0_2
| spl0_55 ),
inference(avatar_split_clause,[],[f270,f563,f333,f345]) ).
fof(f594,plain,
( spl0_5
| spl0_2
| spl0_55
| spl0_23 ),
inference(avatar_split_clause,[],[f269,f413,f563,f333,f345]) ).
fof(f597,definition,
( spl0_60
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f600,plain,
( spl0_49
| spl0_2
| spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f267,f597,f556,f333,f531]) ).
fof(f601,plain,
( spl0_6
| spl0_2
| spl0_57
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f266,f471,f572,f333,f348]) ).
fof(f609,definition,
( spl0_62
<=> c2_1(a400) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f611,plain,
( c2_1(a400)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( ~ spl0_4
| spl0_62 ),
inference(avatar_split_clause,[],[f71,f609,f340]) ).
fof(f614,definition,
( spl0_63
<=> c1_1(a400) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f617,plain,
( ~ spl0_4
| spl0_63 ),
inference(avatar_split_clause,[],[f72,f614,f340]) ).
fof(f620,definition,
( spl0_64
<=> c3_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f622,plain,
( ~ c3_1(a401)
| spl0_64 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f623,plain,
( spl0_7
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f263,f620,f352]) ).
fof(f625,definition,
( spl0_65
<=> c1_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f628,plain,
( spl0_7
| spl0_65 ),
inference(avatar_split_clause,[],[f262,f625,f352]) ).
fof(f630,definition,
( spl0_66
<=> c0_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f632,plain,
( c0_1(a401)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f633,plain,
( spl0_7
| spl0_66 ),
inference(avatar_split_clause,[],[f261,f630,f352]) ).
fof(f636,definition,
( spl0_67
<=> c2_1(a402) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f638,plain,
( ~ c2_1(a402)
| spl0_67 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,plain,
( spl0_8
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f259,f636,f356]) ).
fof(f641,definition,
( spl0_68
<=> c1_1(a402) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f643,plain,
( ~ c1_1(a402)
| spl0_68 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( spl0_8
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f258,f641,f356]) ).
fof(f646,definition,
( spl0_69
<=> c0_1(a402) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f648,plain,
( c0_1(a402)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f649,plain,
( spl0_8
| spl0_69 ),
inference(avatar_split_clause,[],[f257,f646,f356]) ).
fof(f652,definition,
( spl0_70
<=> c3_1(a403) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f654,plain,
( ~ c3_1(a403)
| spl0_70 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f655,plain,
( spl0_13
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f255,f652,f374]) ).
fof(f657,definition,
( spl0_71
<=> c2_1(a403) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f660,plain,
( spl0_13
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f254,f657,f374]) ).
fof(f662,definition,
( spl0_72
<=> c0_1(a403) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f664,plain,
( ~ c0_1(a403)
| spl0_72 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl0_13
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f253,f662,f374]) ).
fof(f668,definition,
( spl0_73
<=> c2_1(a404) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f670,plain,
( ~ c2_1(a404)
| spl0_73 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
( spl0_18
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f251,f668,f392]) ).
fof(f678,definition,
( spl0_75
<=> c0_1(a404) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f680,plain,
( c0_1(a404)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f681,plain,
( spl0_18
| spl0_75 ),
inference(avatar_split_clause,[],[f249,f678,f392]) ).
fof(f684,definition,
( spl0_76
<=> c0_1(a408) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f687,plain,
( ~ spl0_23
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f90,f684,f413]) ).
fof(f689,definition,
( spl0_77
<=> c3_1(a408) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f691,plain,
( c3_1(a408)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( ~ spl0_23
| spl0_77 ),
inference(avatar_split_clause,[],[f91,f689,f413]) ).
fof(f694,definition,
( spl0_78
<=> c2_1(a408) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f697,plain,
( ~ spl0_23
| spl0_78 ),
inference(avatar_split_clause,[],[f92,f694,f413]) ).
fof(f700,definition,
( spl0_79
<=> c3_1(a409) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f703,plain,
( ~ spl0_26
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f94,f700,f425]) ).
fof(f705,definition,
( spl0_80
<=> c0_1(a409) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f708,plain,
( ~ spl0_26
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f95,f705,f425]) ).
fof(f710,definition,
( spl0_81
<=> c2_1(a409) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f712,plain,
( c2_1(a409)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f713,plain,
( ~ spl0_26
| spl0_81 ),
inference(avatar_split_clause,[],[f96,f710,f425]) ).
fof(f716,definition,
( spl0_82
<=> c3_1(a410) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f718,plain,
( ~ c3_1(a410)
| spl0_82 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f719,plain,
( spl0_27
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f245,f716,f430]) ).
fof(f721,definition,
( spl0_83
<=> c1_1(a410) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f723,plain,
( ~ c1_1(a410)
| spl0_83 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f724,plain,
( spl0_27
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f244,f721,f430]) ).
fof(f726,definition,
( spl0_84
<=> c0_1(a410) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f728,plain,
( c0_1(a410)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( spl0_27
| spl0_84 ),
inference(avatar_split_clause,[],[f243,f726,f430]) ).
fof(f732,definition,
( spl0_85
<=> c1_1(a415) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f734,plain,
( ~ c1_1(a415)
| spl0_85 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( spl0_31
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f241,f732,f450]) ).
fof(f742,definition,
( spl0_87
<=> c2_1(a415) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f745,plain,
( spl0_31
| spl0_87 ),
inference(avatar_split_clause,[],[f239,f742,f450]) ).
fof(f753,definition,
( spl0_89
<=> c0_1(a416) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f756,plain,
( spl0_32
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f236,f753,f454]) ).
fof(f758,definition,
( spl0_90
<=> c3_1(a416) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f760,plain,
( c3_1(a416)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl0_32
| spl0_90 ),
inference(avatar_split_clause,[],[f235,f758,f454]) ).
fof(f769,definition,
( spl0_92
<=> c0_1(a418) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f772,plain,
( spl0_35
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f232,f769,f466]) ).
fof(f774,definition,
( spl0_93
<=> c1_1(a418) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f776,plain,
( c1_1(a418)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f777,plain,
( spl0_35
| spl0_93 ),
inference(avatar_split_clause,[],[f231,f774,f466]) ).
fof(f780,definition,
( spl0_94
<=> c2_1(a420) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f782,plain,
( ~ c2_1(a420)
| spl0_94 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,plain,
( spl0_36
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f229,f780,f471]) ).
fof(f785,definition,
( spl0_95
<=> c1_1(a420) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f787,plain,
( ~ c1_1(a420)
| spl0_95 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
( spl0_36
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f228,f785,f471]) ).
fof(f790,definition,
( spl0_96
<=> c0_1(a420) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f793,plain,
( spl0_36
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f227,f790,f471]) ).
fof(f796,definition,
( spl0_97
<=> c2_1(a426) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f798,plain,
( ~ c2_1(a426)
| spl0_97 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f799,plain,
( ~ spl0_39
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f118,f796,f486]) ).
fof(f801,definition,
( spl0_98
<=> c1_1(a426) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f803,plain,
( c1_1(a426)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f804,plain,
( ~ spl0_39
| spl0_98 ),
inference(avatar_split_clause,[],[f119,f801,f486]) ).
fof(f806,definition,
( spl0_99
<=> c0_1(a426) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f808,plain,
( c0_1(a426)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f809,plain,
( ~ spl0_39
| spl0_99 ),
inference(avatar_split_clause,[],[f120,f806,f486]) ).
fof(f812,definition,
( spl0_100
<=> c0_1(a427) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f814,plain,
( ~ c0_1(a427)
| spl0_100 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( ~ spl0_40
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f122,f812,f491]) ).
fof(f817,definition,
( spl0_101
<=> c2_1(a427) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f819,plain,
( c2_1(a427)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f820,plain,
( ~ spl0_40
| spl0_101 ),
inference(avatar_split_clause,[],[f123,f817,f491]) ).
fof(f822,definition,
( spl0_102
<=> c1_1(a427) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f824,plain,
( c1_1(a427)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f825,plain,
( ~ spl0_40
| spl0_102 ),
inference(avatar_split_clause,[],[f124,f822,f491]) ).
fof(f828,definition,
( spl0_103
<=> c1_1(a428) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f830,plain,
( ~ c1_1(a428)
| spl0_103 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f831,plain,
( ~ spl0_41
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f126,f828,f496]) ).
fof(f833,definition,
( spl0_104
<=> c0_1(a428) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f835,plain,
( ~ c0_1(a428)
| spl0_104 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( ~ spl0_41
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f127,f833,f496]) ).
fof(f838,definition,
( spl0_105
<=> c2_1(a428) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f840,plain,
( c2_1(a428)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( ~ spl0_41
| spl0_105 ),
inference(avatar_split_clause,[],[f128,f838,f496]) ).
fof(f844,definition,
( spl0_106
<=> c3_1(a430) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f846,plain,
( ~ c3_1(a430)
| spl0_106 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f847,plain,
( spl0_45
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f222,f844,f512]) ).
fof(f849,definition,
( spl0_107
<=> c2_1(a430) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f851,plain,
( c2_1(a430)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f852,plain,
( spl0_45
| spl0_107 ),
inference(avatar_split_clause,[],[f221,f849,f512]) ).
fof(f854,definition,
( spl0_108
<=> c0_1(a430) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f856,plain,
( c0_1(a430)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f857,plain,
( spl0_45
| spl0_108 ),
inference(avatar_split_clause,[],[f220,f854,f512]) ).
fof(f860,definition,
( spl0_109
<=> c3_1(a434) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f862,plain,
( ~ c3_1(a434)
| spl0_109 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f863,plain,
( ~ spl0_47
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f134,f860,f522]) ).
fof(f865,definition,
( spl0_110
<=> c0_1(a434) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f867,plain,
( ~ c0_1(a434)
| spl0_110 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f868,plain,
( ~ spl0_47
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f135,f865,f522]) ).
fof(f870,definition,
( spl0_111
<=> c1_1(a434) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f872,plain,
( c1_1(a434)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f873,plain,
( ~ spl0_47
| spl0_111 ),
inference(avatar_split_clause,[],[f136,f870,f522]) ).
fof(f908,definition,
( spl0_118
<=> c0_1(a445) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f911,plain,
( ~ spl0_54
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f146,f908,f556]) ).
fof(f913,definition,
( spl0_119
<=> c3_1(a445) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f915,plain,
( c3_1(a445)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f916,plain,
( ~ spl0_54
| spl0_119 ),
inference(avatar_split_clause,[],[f147,f913,f556]) ).
fof(f918,definition,
( spl0_120
<=> c1_1(a445) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f921,plain,
( ~ spl0_54
| spl0_120 ),
inference(avatar_split_clause,[],[f148,f918,f556]) ).
fof(f924,definition,
( spl0_121
<=> c2_1(a449) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f926,plain,
( ~ c2_1(a449)
| spl0_121 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( ~ spl0_55
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f150,f924,f563]) ).
fof(f929,definition,
( spl0_122
<=> c3_1(a449) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f931,plain,
( c3_1(a449)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl0_55
| spl0_122 ),
inference(avatar_split_clause,[],[f151,f929,f563]) ).
fof(f934,definition,
( spl0_123
<=> c1_1(a449) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f936,plain,
( c1_1(a449)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( ~ spl0_55
| spl0_123 ),
inference(avatar_split_clause,[],[f152,f934,f563]) ).
fof(f954,plain,
( ~ spl0_56
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f210,f333,f567]) ).
fof(f956,definition,
( spl0_127
<=> c1_1(a451) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f958,plain,
( ~ c1_1(a451)
| spl0_127 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f959,plain,
( ~ spl0_57
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f158,f956,f572]) ).
fof(f961,definition,
( spl0_128
<=> c2_1(a451) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f963,plain,
( c2_1(a451)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f964,plain,
( ~ spl0_57
| spl0_128 ),
inference(avatar_split_clause,[],[f159,f961,f572]) ).
fof(f966,definition,
( spl0_129
<=> c0_1(a451) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f968,plain,
( c0_1(a451)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f969,plain,
( ~ spl0_57
| spl0_129 ),
inference(avatar_split_clause,[],[f160,f966,f572]) ).
fof(f972,definition,
( spl0_130
<=> c3_1(a460) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f974,plain,
( ~ c3_1(a460)
| spl0_130 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f975,plain,
( ~ spl0_58
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f162,f972,f581]) ).
fof(f977,definition,
( spl0_131
<=> c2_1(a460) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f980,plain,
( ~ spl0_58
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f163,f977,f581]) ).
fof(f982,definition,
( spl0_132
<=> c1_1(a460) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f984,plain,
( c1_1(a460)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f985,plain,
( ~ spl0_58
| spl0_132 ),
inference(avatar_split_clause,[],[f164,f982,f581]) ).
fof(f988,definition,
( spl0_133
<=> c2_1(a477) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f991,plain,
( spl0_60
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f207,f988,f597]) ).
fof(f993,definition,
( spl0_134
<=> c0_1(a477) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f995,plain,
( ~ c0_1(a477)
| spl0_134 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f996,plain,
( spl0_60
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f206,f993,f597]) ).
fof(f998,definition,
( spl0_135
<=> c3_1(a477) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1000,plain,
( c3_1(a477)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1001,plain,
( spl0_60
| spl0_135 ),
inference(avatar_split_clause,[],[f205,f998,f597]) ).
fof(f1002,plain,
( spl0_60
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f204,f333,f597]) ).
fof(f1004,definition,
( spl0_136
<=> c3_1(a405) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1006,plain,
( c3_1(a405)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1007,plain,
( ~ spl0_21
| spl0_136 ),
inference(avatar_split_clause,[],[f170,f1004,f404]) ).
fof(f1014,definition,
( spl0_138
<=> c0_1(a405) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1016,plain,
( c0_1(a405)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1017,plain,
( ~ spl0_21
| spl0_138 ),
inference(avatar_split_clause,[],[f172,f1014,f404]) ).
fof(f1018,plain,
( ~ spl0_21
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f203,f333,f404]) ).
fof(f1036,definition,
( spl0_142
<=> c2_1(a412) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1039,plain,
( ~ spl0_28
| spl0_142 ),
inference(avatar_split_clause,[],[f178,f1036,f436]) ).
fof(f1041,definition,
( spl0_143
<=> c1_1(a412) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1044,plain,
( ~ spl0_28
| spl0_143 ),
inference(avatar_split_clause,[],[f179,f1041,f436]) ).
fof(f1046,definition,
( spl0_144
<=> c0_1(a412) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1048,plain,
( c0_1(a412)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1049,plain,
( ~ spl0_28
| spl0_144 ),
inference(avatar_split_clause,[],[f180,f1046,f436]) ).
fof(f1052,definition,
( spl0_145
<=> c3_1(a414) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1055,plain,
( spl0_30
| spl0_145 ),
inference(avatar_split_clause,[],[f197,f1052,f445]) ).
fof(f1057,definition,
( spl0_146
<=> c2_1(a414) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1059,plain,
( c2_1(a414)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,plain,
( spl0_30
| spl0_146 ),
inference(avatar_split_clause,[],[f196,f1057,f445]) ).
fof(f1062,definition,
( spl0_147
<=> c0_1(a414) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1064,plain,
( c0_1(a414)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1065,plain,
( spl0_30
| spl0_147 ),
inference(avatar_split_clause,[],[f195,f1062,f445]) ).
fof(f1067,plain,
( spl0_21
| ~ spl0_60
| spl0_56 ),
inference(avatar_split_clause,[],[f193,f567,f597,f404]) ).
fof(f1068,plain,
( ~ spl0_45
| ~ spl0_27
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f192,f374,f430,f512]) ).
fof(f1071,plain,
( c3_1(a401)
| ~ c1_1(a401)
| ~ spl0_5
| ~ spl0_66 ),
inference(resolution,[],[f346,f632]) ).
fof(f1078,plain,
( ! [X4] :
( ~ c3_1(X4)
| ~ c2_1(X4) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f349,f338]) ).
fof(f1079,plain,
( ! [X8] :
( ~ c2_1(X8)
| c1_1(X8) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f368,f1078]) ).
fof(f1390,plain,
( ! [X40] :
( ~ c1_1(X40)
| ~ c3_1(X40) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f464,f1078]) ).
fof(f1393,plain,
( ~ c3_1(a449)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_34
| ~ spl0_123 ),
inference(resolution,[],[f1390,f936]) ).
fof(f1425,plain,
( ~ spl0_122
| ~ spl0_3
| ~ spl0_6
| ~ spl0_34
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1393,f934,f463,f348,f337,f929]) ).
fof(f1428,definition,
( spl0_148
<=> c1_1(a477) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1429,plain,
( ~ c1_1(a477)
| spl0_148 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1443,plain,
( ~ spl0_65
| spl0_64
| ~ spl0_5
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1071,f630,f345,f620,f625]) ).
fof(f1533,plain,
( c1_1(a428)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_105 ),
inference(resolution,[],[f1079,f840]) ).
fof(f1544,plain,
( spl0_103
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1533,f838,f367,f348,f337,f828]) ).
fof(f1624,definition,
( spl0_150
<=> c3_1(a451) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1629,definition,
( spl0_151
<=> c3_1(a428) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1631,plain,
( c3_1(a428)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1890,definition,
( spl0_153
<=> c3_1(a402) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1891,plain,
( ~ c3_1(a402)
| spl0_153 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1895,definition,
( spl0_154
<=> c2_1(a405) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1897,plain,
( ~ c2_1(a405)
| spl0_154 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1901,definition,
( spl0_155
<=> c3_1(a426) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1943,plain,
( c0_1(a428)
| c1_1(a428)
| ~ spl0_14
| ~ spl0_105 ),
inference(resolution,[],[f380,f840]) ).
fof(f1945,plain,
( c1_1(a428)
| ~ spl0_14
| spl0_104
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f1943,f835]) ).
fof(f1969,plain,
( c2_1(a460)
| c3_1(a460)
| ~ spl0_16
| ~ spl0_132 ),
inference(resolution,[],[f386,f984]) ).
fof(f1983,plain,
( c2_1(a460)
| ~ spl0_16
| spl0_130
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f1969,f974]) ).
fof(f1984,plain,
( spl0_131
| ~ spl0_16
| spl0_130
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1983,f982,f972,f385,f977]) ).
fof(f1991,plain,
( c1_1(a402)
| c2_1(a402)
| ~ spl0_19
| ~ spl0_69 ),
inference(resolution,[],[f398,f648]) ).
fof(f2001,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0) )
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f331,f398]) ).
fof(f2003,plain,
( c1_1(a402)
| ~ spl0_19
| spl0_67
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1991,f638]) ).
fof(f2004,plain,
( spl0_68
| ~ spl0_19
| spl0_67
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2003,f646,f636,f397,f641]) ).
fof(f2058,definition,
( spl0_157
<=> c0_1(a449) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f2138,plain,
( ! [X44] :
( ~ c0_1(X44)
| c3_1(X44) )
| ~ spl0_5
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f481,f346]) ).
fof(f2141,plain,
( c3_1(a402)
| ~ spl0_5
| ~ spl0_38
| ~ spl0_69 ),
inference(resolution,[],[f2138,f648]) ).
fof(f2165,plain,
( ! [X61] :
( ~ c3_1(X61)
| c0_1(X61) )
| ~ spl0_10
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f518,f365]) ).
fof(f2171,plain,
( c0_1(a416)
| ~ spl0_10
| ~ spl0_46
| ~ spl0_90 ),
inference(resolution,[],[f2165,f760]) ).
fof(f2175,plain,
( c0_1(a449)
| ~ spl0_10
| ~ spl0_46
| ~ spl0_122 ),
inference(resolution,[],[f2165,f931]) ).
fof(f2179,plain,
( spl0_157
| ~ spl0_10
| ~ spl0_46
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2175,f929,f517,f364,f2058]) ).
fof(f2185,plain,
( ! [X18] :
( ~ c0_1(X18)
| c1_1(X18) )
| ~ spl0_5
| ~ spl0_20
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f401,f2138]) ).
fof(f2212,plain,
( ! [X8] :
( c1_1(X8)
| c3_1(X8) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f368,f2001]) ).
fof(f2214,plain,
( spl0_89
| ~ spl0_10
| ~ spl0_46
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f2171,f758,f517,f364,f753]) ).
fof(f2241,plain,
( c3_1(a410)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| spl0_83 ),
inference(resolution,[],[f2212,f723]) ).
fof(f2254,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| spl0_82
| spl0_83 ),
inference(forward_subsumption_resolution,[],[f2241,f718]) ).
fof(f2255,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| spl0_82
| spl0_83 ),
inference(avatar_contradiction_clause,[],[f2254]) ).
fof(f2280,definition,
( spl0_161
<=> c2_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f2327,plain,
( ~ c2_1(a401)
| ~ c1_1(a401)
| ~ spl0_49
| ~ spl0_66 ),
inference(resolution,[],[f532,f632]) ).
fof(f2337,plain,
( ~ c2_1(a412)
| ~ c1_1(a412)
| ~ spl0_49
| ~ spl0_144 ),
inference(resolution,[],[f532,f1048]) ).
fof(f2367,plain,
( c0_1(a449)
| ~ c1_1(a449)
| ~ spl0_46
| ~ spl0_122 ),
inference(resolution,[],[f518,f931]) ).
fof(f2370,plain,
( c0_1(a477)
| ~ c1_1(a477)
| ~ spl0_46
| ~ spl0_135 ),
inference(resolution,[],[f518,f1000]) ).
fof(f2373,plain,
( ~ c1_1(a477)
| ~ spl0_46
| spl0_134
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2370,f995]) ).
fof(f2374,plain,
( c0_1(a449)
| ~ spl0_46
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2367,f936]) ).
fof(f2379,plain,
( spl0_157
| ~ spl0_46
| ~ spl0_122
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2374,f934,f929,f517,f2058]) ).
fof(f2429,plain,
( c0_1(a408)
| ~ c2_1(a408)
| ~ spl0_3
| ~ spl0_77 ),
inference(resolution,[],[f691,f338]) ).
fof(f2453,plain,
( c1_1(a402)
| ~ spl0_5
| ~ spl0_20
| ~ spl0_38
| ~ spl0_69 ),
inference(resolution,[],[f2185,f648]) ).
fof(f2465,plain,
( $false
| ~ spl0_5
| ~ spl0_20
| ~ spl0_38
| spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f2453,f643]) ).
fof(f2466,plain,
( ~ spl0_5
| ~ spl0_20
| ~ spl0_38
| spl0_68
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2465]) ).
fof(f2620,plain,
( c1_1(a410)
| c2_1(a410)
| ~ spl0_19
| ~ spl0_84 ),
inference(resolution,[],[f728,f398]) ).
fof(f2664,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f383,f346]) ).
fof(f2667,plain,
( c3_1(a403)
| c2_1(a403)
| ~ spl0_15
| spl0_72 ),
inference(resolution,[],[f383,f664]) ).
fof(f2681,plain,
( c2_1(a403)
| ~ spl0_15
| spl0_70
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f2667,f654]) ).
fof(f2704,plain,
( spl0_71
| ~ spl0_15
| spl0_70
| spl0_72 ),
inference(avatar_split_clause,[],[f2681,f662,f652,f382,f657]) ).
fof(f2709,plain,
( ~ c3_1(a402)
| ~ c2_1(a402)
| ~ spl0_6
| ~ spl0_69 ),
inference(resolution,[],[f349,f648]) ).
fof(f2719,plain,
( ~ c3_1(a405)
| ~ c2_1(a405)
| ~ spl0_6
| ~ spl0_138 ),
inference(resolution,[],[f349,f1016]) ).
fof(f2721,plain,
( ~ c3_1(a414)
| ~ c2_1(a414)
| ~ spl0_6
| ~ spl0_147 ),
inference(resolution,[],[f349,f1064]) ).
fof(f2724,plain,
( ~ c2_1(a405)
| ~ spl0_6
| ~ spl0_136
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f2719,f1006]) ).
fof(f2743,plain,
( ~ spl0_154
| ~ spl0_6
| ~ spl0_136
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2724,f1014,f1004,f348,f1895]) ).
fof(f2801,plain,
( ~ c3_1(a402)
| ~ c0_1(a402)
| ~ spl0_20
| spl0_68 ),
inference(resolution,[],[f401,f643]) ).
fof(f2807,plain,
( ~ c3_1(a451)
| ~ c0_1(a451)
| ~ spl0_20
| spl0_127 ),
inference(resolution,[],[f401,f958]) ).
fof(f2811,plain,
( ~ c3_1(a402)
| ~ spl0_20
| spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f2801,f648]) ).
fof(f2814,plain,
( ~ spl0_153
| ~ spl0_20
| spl0_68
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2811,f646,f641,f400,f1890]) ).
fof(f2815,plain,
( ! [X22] :
( c0_1(X22)
| c3_1(X22) )
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f419,f383]) ).
fof(f2843,plain,
( ! [X61] :
( ~ c1_1(X61)
| c0_1(X61) )
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f518,f2815]) ).
fof(f2848,plain,
( ~ spl0_148
| ~ spl0_46
| spl0_134
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2373,f998,f993,f517,f1428]) ).
fof(f2853,definition,
( spl0_164
<=> c2_1(a434) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f2855,plain,
( c2_1(a434)
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f2871,plain,
( c0_1(a418)
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_93 ),
inference(resolution,[],[f2843,f776]) ).
fof(f2873,plain,
( c0_1(a427)
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_102 ),
inference(resolution,[],[f2843,f824]) ).
fof(f2875,plain,
( c0_1(a434)
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_111 ),
inference(resolution,[],[f2843,f872]) ).
fof(f2902,plain,
( spl0_100
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f2873,f822,f517,f418,f382,f812]) ).
fof(f2903,plain,
( spl0_92
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f2871,f774,f517,f418,f382,f769]) ).
fof(f2956,plain,
( spl0_103
| ~ spl0_14
| spl0_104
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1945,f838,f833,f379,f828]) ).
fof(f2959,plain,
( spl0_153
| ~ spl0_5
| ~ spl0_38
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2141,f646,f480,f345,f1890]) ).
fof(f2968,plain,
( ~ spl0_67
| ~ spl0_153
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2709,f646,f348,f1890,f636]) ).
fof(f2972,plain,
( c3_1(a410)
| ~ spl0_5
| ~ spl0_38
| ~ spl0_84 ),
inference(resolution,[],[f2138,f728]) ).
fof(f2976,plain,
( c3_1(a430)
| ~ spl0_5
| ~ spl0_38
| ~ spl0_108 ),
inference(resolution,[],[f2138,f856]) ).
fof(f3007,plain,
( c2_1(a410)
| ~ spl0_19
| spl0_83
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2620,f723]) ).
fof(f3091,plain,
( ~ c2_1(a451)
| c3_1(a451)
| ~ spl0_11
| spl0_127 ),
inference(resolution,[],[f368,f958]) ).
fof(f3126,plain,
( ~ c3_1(a477)
| c2_1(a477)
| ~ spl0_25
| spl0_148 ),
inference(resolution,[],[f422,f1429]) ).
fof(f3149,plain,
( c2_1(a426)
| ~ c3_1(a426)
| ~ spl0_34
| ~ spl0_98 ),
inference(resolution,[],[f464,f803]) ).
fof(f3151,plain,
( c2_1(a449)
| ~ c3_1(a449)
| ~ spl0_34
| ~ spl0_123 ),
inference(resolution,[],[f464,f936]) ).
fof(f3159,plain,
( ~ c3_1(a449)
| ~ spl0_34
| spl0_121
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f3151,f926]) ).
fof(f3160,plain,
( ~ c3_1(a426)
| ~ spl0_34
| spl0_97
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3149,f798]) ).
fof(f3167,plain,
( $false
| ~ spl0_34
| spl0_121
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f3159,f931]) ).
fof(f3168,plain,
( ~ spl0_34
| spl0_121
| ~ spl0_122
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f3167]) ).
fof(f3226,plain,
( c0_1(a428)
| ~ spl0_10
| ~ spl0_46
| ~ spl0_151 ),
inference(resolution,[],[f2165,f1631]) ).
fof(f3239,plain,
( $false
| ~ spl0_10
| ~ spl0_46
| spl0_104
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f3226,f835]) ).
fof(f3240,plain,
( ~ spl0_10
| ~ spl0_46
| spl0_104
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f3239]) ).
fof(f3261,plain,
( c2_1(a434)
| c3_1(a434)
| ~ spl0_16
| ~ spl0_111 ),
inference(resolution,[],[f386,f872]) ).
fof(f3273,plain,
( c2_1(a434)
| ~ spl0_16
| spl0_109
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f3261,f862]) ).
fof(f3278,plain,
( spl0_164
| ~ spl0_16
| spl0_109
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3273,f870,f860,f385,f2853]) ).
fof(f3304,plain,
( c0_1(a434)
| c2_1(a434)
| ~ spl0_29
| ~ spl0_111 ),
inference(resolution,[],[f442,f872]) ).
fof(f3316,plain,
( c2_1(a434)
| ~ spl0_29
| spl0_110
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f3304,f867]) ).
fof(f3322,plain,
( spl0_164
| ~ spl0_29
| spl0_110
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f3316,f870,f865,f441,f2853]) ).
fof(f3383,definition,
( spl0_168
<=> c2_1(a410) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f3395,plain,
( c0_1(a427)
| ~ c1_1(a427)
| ~ spl0_42
| ~ spl0_101 ),
inference(resolution,[],[f502,f819]) ).
fof(f3406,plain,
( ~ c1_1(a427)
| ~ spl0_42
| spl0_100
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3395,f814]) ).
fof(f3414,plain,
( $false
| ~ spl0_42
| spl0_100
| ~ spl0_101
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f3406,f824]) ).
fof(f3415,plain,
( ~ spl0_42
| spl0_100
| ~ spl0_101
| ~ spl0_102 ),
inference(avatar_contradiction_clause,[],[f3414]) ).
fof(f3418,plain,
( ! [X59] :
( ~ c0_1(X59)
| ~ c2_1(X59) )
| ~ spl0_6
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f509,f349]) ).
fof(f3419,plain,
( ~ c2_1(a401)
| ~ spl0_6
| ~ spl0_44
| ~ spl0_66 ),
inference(resolution,[],[f3418,f632]) ).
fof(f3436,plain,
( ~ spl0_161
| ~ spl0_6
| ~ spl0_44
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3419,f630,f508,f348,f2280]) ).
fof(f3437,plain,
( ! [X58] :
( c1_1(X58)
| ~ c2_1(X58) )
| ~ spl0_11
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f506,f368]) ).
fof(f3439,plain,
( ~ c2_1(a415)
| ~ spl0_11
| ~ spl0_43
| spl0_85 ),
inference(resolution,[],[f3437,f734]) ).
fof(f3441,plain,
( ~ c2_1(a428)
| ~ spl0_11
| ~ spl0_43
| spl0_103 ),
inference(resolution,[],[f3437,f830]) ).
fof(f3451,plain,
( c2_1(a477)
| ~ spl0_25
| ~ spl0_135
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f3126,f1000]) ).
fof(f3454,plain,
( ~ spl0_105
| ~ spl0_11
| ~ spl0_43
| spl0_103 ),
inference(avatar_split_clause,[],[f3441,f828,f505,f367,f838]) ).
fof(f3461,plain,
( ~ spl0_87
| ~ spl0_11
| ~ spl0_43
| spl0_85 ),
inference(avatar_split_clause,[],[f3439,f732,f505,f367,f742]) ).
fof(f3474,plain,
( spl0_133
| ~ spl0_25
| ~ spl0_135
| spl0_148 ),
inference(avatar_split_clause,[],[f3451,f1428,f998,f421,f988]) ).
fof(f3498,plain,
( c0_1(a409)
| c3_1(a409)
| ~ spl0_24
| ~ spl0_81 ),
inference(resolution,[],[f419,f712]) ).
fof(f3556,plain,
( c2_1(a401)
| c3_1(a401)
| ~ spl0_50
| ~ spl0_66 ),
inference(resolution,[],[f537,f632]) ).
fof(f3557,plain,
( c2_1(a402)
| c3_1(a402)
| ~ spl0_50
| ~ spl0_69 ),
inference(resolution,[],[f537,f648]) ).
fof(f3559,plain,
( c2_1(a410)
| c3_1(a410)
| ~ spl0_50
| ~ spl0_84 ),
inference(resolution,[],[f537,f728]) ).
fof(f3569,plain,
( c2_1(a410)
| ~ spl0_50
| spl0_82
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f3559,f718]) ).
fof(f3570,plain,
( c2_1(a401)
| ~ spl0_50
| spl0_64
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f3556,f622]) ).
fof(f3574,plain,
( spl0_168
| ~ spl0_50
| spl0_82
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f3569,f726,f716,f536,f3383]) ).
fof(f3575,plain,
( spl0_161
| ~ spl0_50
| spl0_64
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f3570,f630,f620,f536,f2280]) ).
fof(f3607,plain,
( ! [X96] :
( ~ c0_1(X96)
| c2_1(X96) )
| ~ spl0_50
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f587,f537]) ).
fof(f3609,plain,
( c2_1(a402)
| ~ spl0_50
| ~ spl0_59
| ~ spl0_69 ),
inference(resolution,[],[f3607,f648]) ).
fof(f3610,plain,
( c2_1(a404)
| ~ spl0_50
| ~ spl0_59
| ~ spl0_75 ),
inference(resolution,[],[f3607,f680]) ).
fof(f3617,plain,
( c2_1(a405)
| ~ spl0_50
| ~ spl0_59
| ~ spl0_138 ),
inference(resolution,[],[f3607,f1016]) ).
fof(f3619,plain,
( $false
| ~ spl0_50
| ~ spl0_59
| ~ spl0_138
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f3617,f1897]) ).
fof(f3620,plain,
( ~ spl0_50
| ~ spl0_59
| ~ spl0_138
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f3619]) ).
fof(f3627,plain,
( $false
| ~ spl0_50
| ~ spl0_59
| spl0_73
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f3610,f670]) ).
fof(f3628,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_73
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3629,plain,
( $false
| ~ spl0_50
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3609,f638]) ).
fof(f3630,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f3629]) ).
fof(f3644,plain,
( c0_1(a434)
| c3_1(a434)
| ~ spl0_24
| ~ spl0_164 ),
inference(resolution,[],[f2855,f419]) ).
fof(f3648,plain,
( ! [X96] :
( ~ c3_1(X96)
| c2_1(X96) )
| ~ spl0_17
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f587,f390]) ).
fof(f3659,plain,
( spl0_168
| ~ spl0_19
| spl0_83
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f3007,f726,f721,f397,f3383]) ).
fof(f3681,plain,
( ~ spl0_155
| ~ spl0_34
| spl0_97
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f3160,f801,f796,f463,f1901]) ).
fof(f3689,plain,
( ! [X68] :
( ~ c1_1(X68)
| c2_1(X68) )
| ~ spl0_29
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f529,f442]) ).
fof(f3737,plain,
( c3_1(a402)
| ~ spl0_50
| spl0_67
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3557,f638]) ).
fof(f3745,plain,
( ~ spl0_129
| ~ spl0_150
| ~ spl0_20
| spl0_127 ),
inference(avatar_split_clause,[],[f2807,f956,f400,f1624,f966]) ).
fof(f3746,plain,
( spl0_150
| ~ spl0_128
| ~ spl0_11
| spl0_127 ),
inference(avatar_split_clause,[],[f3091,f956,f367,f961,f1624]) ).
fof(f3765,plain,
( spl0_153
| ~ spl0_50
| spl0_67
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f3737,f646,f636,f536,f1890]) ).
fof(f3832,plain,
( c0_1(a434)
| ~ spl0_24
| spl0_109
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f3644,f862]) ).
fof(f3834,plain,
( spl0_110
| ~ spl0_24
| spl0_109
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3832,f2853,f860,f418,f865]) ).
fof(f3837,plain,
( ~ c3_1(a402)
| c2_1(a402)
| ~ spl0_25
| spl0_68 ),
inference(resolution,[],[f643,f422]) ).
fof(f3838,plain,
( ~ c3_1(a402)
| ~ spl0_25
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3837,f638]) ).
fof(f3839,plain,
( ~ spl0_153
| ~ spl0_25
| spl0_67
| spl0_68 ),
inference(avatar_split_clause,[],[f3838,f641,f636,f421,f1890]) ).
fof(f3848,plain,
( ~ c3_1(a451)
| ~ c2_1(a451)
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f968,f349]) ).
fof(f3886,plain,
( c2_1(a449)
| ~ spl0_29
| ~ spl0_48
| ~ spl0_123 ),
inference(resolution,[],[f3689,f936]) ).
fof(f3900,plain,
( $false
| ~ spl0_29
| ~ spl0_48
| spl0_121
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f3886,f926]) ).
fof(f3901,plain,
( ~ spl0_29
| ~ spl0_48
| spl0_121
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f3900]) ).
fof(f3915,plain,
( ~ spl0_128
| ~ spl0_150
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f3848,f966,f348,f1624,f961]) ).
fof(f3922,plain,
( c0_1(a420)
| c2_1(a420)
| ~ spl0_1
| spl0_95 ),
inference(resolution,[],[f331,f787]) ).
fof(f3938,plain,
( c3_1(a426)
| ~ c1_1(a426)
| ~ spl0_5
| ~ spl0_99 ),
inference(resolution,[],[f346,f808]) ).
fof(f4017,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_5
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f2664]) ).
fof(f4026,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f4017,f382,f345,f385]) ).
fof(f4212,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| c0_1(X0)
| c2_1(X0) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f386,f331]) ).
fof(f4240,plain,
( c0_1(a409)
| c3_1(a409)
| ~ spl0_24
| ~ spl0_81 ),
inference(resolution,[],[f419,f712]) ).
fof(f4280,plain,
( c0_1(a445)
| ~ c1_1(a445)
| ~ spl0_46
| ~ spl0_119 ),
inference(resolution,[],[f518,f915]) ).
fof(f4291,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_25
| ~ spl0_48 ),
inference(resolution,[],[f529,f422]) ).
fof(f4297,plain,
( c2_1(a426)
| ~ c0_1(a426)
| ~ spl0_48
| ~ spl0_98 ),
inference(resolution,[],[f529,f803]) ).
fof(f4300,plain,
( c2_1(a449)
| ~ c0_1(a449)
| ~ spl0_48
| ~ spl0_123 ),
inference(resolution,[],[f529,f936]) ).
fof(f4312,plain,
( ~ c0_1(a449)
| ~ spl0_48
| spl0_121
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f4300,f926]) ).
fof(f4315,plain,
( ~ c0_1(a426)
| ~ spl0_48
| spl0_97
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f4297,f798]) ).
fof(f4334,plain,
( $false
| ~ spl0_48
| spl0_97
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f4315,f808]) ).
fof(f4335,plain,
( ~ spl0_48
| spl0_97
| ~ spl0_98
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f4334]) ).
fof(f4342,plain,
( ! [X11] :
( ~ c2_1(X11)
| c0_1(X11) )
| ~ spl0_14
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f380,f502]) ).
fof(f4365,plain,
( spl0_82
| ~ spl0_5
| ~ spl0_38
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2972,f726,f480,f345,f716]) ).
fof(f4369,plain,
( spl0_106
| ~ spl0_5
| ~ spl0_38
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f2976,f854,f480,f345,f844]) ).
fof(f4389,plain,
( ~ spl0_98
| spl0_155
| ~ spl0_5
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f3938,f806,f345,f1901,f801]) ).
fof(f4404,plain,
( ~ c3_1(a414)
| ~ spl0_6
| ~ spl0_146
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2721,f1059]) ).
fof(f4413,plain,
( ~ spl0_145
| ~ spl0_6
| ~ spl0_146
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f4404,f1062,f1057,f348,f1052]) ).
fof(f4477,plain,
( c0_1(a409)
| ~ spl0_10
| ~ spl0_24
| ~ spl0_46
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f3498,f2165]) ).
fof(f4482,plain,
( spl0_80
| ~ spl0_10
| ~ spl0_24
| ~ spl0_46
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f4477,f710,f517,f418,f364,f705]) ).
fof(f4499,plain,
( c2_1(a449)
| ~ spl0_17
| ~ spl0_59
| ~ spl0_122 ),
inference(resolution,[],[f3648,f931]) ).
fof(f4512,plain,
( $false
| ~ spl0_17
| ~ spl0_59
| spl0_121
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f4499,f926]) ).
fof(f4513,plain,
( ~ spl0_17
| ~ spl0_59
| spl0_121
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f4512]) ).
fof(f4530,plain,
( ! [X96] :
( ~ c0_1(X96)
| c2_1(X96) )
| ~ spl0_5
| ~ spl0_38
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f587,f2138]) ).
fof(f4544,plain,
( c2_1(a402)
| ~ spl0_5
| ~ spl0_38
| ~ spl0_59
| ~ spl0_69 ),
inference(resolution,[],[f4530,f648]) ).
fof(f4597,plain,
( $false
| ~ spl0_5
| ~ spl0_38
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f4544,f638]) ).
fof(f4598,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4632,plain,
( ~ c2_1(a402)
| c3_1(a402)
| ~ spl0_11
| spl0_68 ),
inference(resolution,[],[f368,f643]) ).
fof(f4634,plain,
( ~ c2_1(a410)
| c3_1(a410)
| ~ spl0_11
| spl0_83 ),
inference(resolution,[],[f368,f723]) ).
fof(f4639,plain,
( ~ c2_1(a428)
| c3_1(a428)
| ~ spl0_11
| spl0_103 ),
inference(resolution,[],[f368,f830]) ).
fof(f4651,plain,
( ! [X69] :
( ~ c2_1(X69)
| ~ c1_1(X69) )
| ~ spl0_14
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f532,f4342]) ).
fof(f4652,plain,
( ~ c1_1(a400)
| ~ spl0_14
| ~ spl0_42
| ~ spl0_49
| ~ spl0_62 ),
inference(resolution,[],[f4651,f611]) ).
fof(f4681,plain,
( spl0_110
| ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f2875,f870,f517,f418,f382,f865]) ).
fof(f4704,plain,
( ! [X38] :
( ~ c2_1(X38)
| ~ c0_1(X38) )
| ~ spl0_14
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f460,f4651]) ).
fof(f4716,plain,
( spl0_82
| ~ spl0_168
| ~ spl0_11
| spl0_83 ),
inference(avatar_split_clause,[],[f4634,f721,f367,f3383,f716]) ).
fof(f4720,plain,
( ~ spl0_63
| ~ spl0_14
| ~ spl0_42
| ~ spl0_49
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f4652,f609,f531,f501,f379,f614]) ).
fof(f4733,plain,
( ! [X38] : ~ c2_1(X38)
| ~ spl0_14
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4704,f4342]) ).
fof(f4764,plain,
( $false
| ~ spl0_14
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49
| ~ spl0_128 ),
inference(backward_subsumption_resolution,[],[f963,f4733]) ).
fof(f4770,plain,
( ~ spl0_14
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f4764]) ).
fof(f4772,plain,
( ! [X59] :
( ~ c2_1(X59)
| c3_1(X59) )
| ~ spl0_24
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f509,f419]) ).
fof(f4773,plain,
( ~ spl0_65
| ~ spl0_161
| ~ spl0_49
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f2327,f630,f531,f2280,f625]) ).
fof(f4810,plain,
( c3_1(a430)
| ~ spl0_24
| ~ spl0_44
| ~ spl0_107 ),
inference(resolution,[],[f4772,f851]) ).
fof(f4813,plain,
( $false
| ~ spl0_24
| ~ spl0_44
| spl0_106
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f4810,f846]) ).
fof(f4814,plain,
( ~ spl0_24
| ~ spl0_44
| spl0_106
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f4813]) ).
fof(f4824,plain,
( spl0_151
| ~ spl0_105
| ~ spl0_11
| spl0_103 ),
inference(avatar_split_clause,[],[f4639,f828,f367,f838,f1629]) ).
fof(f4851,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl0_1
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f4212]) ).
fof(f4855,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl0_25
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f4291]) ).
fof(f4863,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f4851,f385,f330,f382]) ).
fof(f4878,plain,
( spl0_59
| ~ spl0_25
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f4855,f528,f421,f586]) ).
fof(f4886,plain,
( ~ spl0_157
| ~ spl0_48
| spl0_121
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f4312,f934,f924,f528,f2058]) ).
fof(f4907,plain,
( c0_1(a420)
| ~ spl0_1
| spl0_94
| spl0_95 ),
inference(forward_subsumption_resolution,[],[f3922,f782]) ).
fof(f4913,plain,
( ~ c2_1(a402)
| ~ spl0_11
| spl0_68
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f4632,f1891]) ).
fof(f4919,plain,
( spl0_96
| ~ spl0_1
| spl0_94
| spl0_95 ),
inference(avatar_split_clause,[],[f4907,f785,f780,f330,f790]) ).
fof(f4921,plain,
( ~ spl0_67
| ~ spl0_11
| spl0_68
| spl0_153 ),
inference(avatar_split_clause,[],[f4913,f1890,f641,f367,f636]) ).
fof(f4927,plain,
( ~ spl0_78
| spl0_76
| ~ spl0_3
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f2429,f689,f337,f684,f694]) ).
fof(f4947,plain,
( spl0_79
| spl0_80
| ~ spl0_24
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f4240,f710,f418,f705,f700]) ).
fof(f4970,plain,
( ~ spl0_120
| spl0_118
| ~ spl0_46
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f4280,f913,f517,f908,f918]) ).
fof(f4994,plain,
( ~ spl0_143
| ~ spl0_142
| ~ spl0_49
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2337,f1046,f531,f1036,f1041]) ).
fof(f5010,plain,
( ~ c2_1(a410)
| ~ spl0_11
| ~ spl0_43
| spl0_83 ),
inference(resolution,[],[f3437,f723]) ).
fof(f5017,plain,
( ~ c2_1(a451)
| ~ spl0_11
| ~ spl0_43
| spl0_127 ),
inference(resolution,[],[f3437,f958]) ).
fof(f5019,plain,
( $false
| ~ spl0_11
| ~ spl0_43
| spl0_127
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f5017,f963]) ).
fof(f5020,plain,
( ~ spl0_11
| ~ spl0_43
| spl0_127
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f5019]) ).
fof(f5023,plain,
( ~ spl0_168
| ~ spl0_11
| ~ spl0_43
| spl0_83 ),
inference(avatar_split_clause,[],[f5010,f721,f505,f367,f3383]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f343]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f350]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f359]) ).
cnf(s6,plain,
( spl0_2
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f387]) ).
cnf(s8,plain,
( spl0_2
| spl0_14
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f402]) ).
cnf(s11,plain,
( spl0_2
| spl0_10
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f423]) ).
cnf(s13,plain,
( spl0_2
| spl0_10
| spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f433]) ).
cnf(s15,plain,
( spl0_2
| spl0_4
| spl0_15
| spl0_28 ),
inference(sat_conversion,[],[f439]) ).
cnf(s16,plain,
( spl0_2
| spl0_3
| spl0_25
| spl0_29 ),
inference(sat_conversion,[],[f443]) ).
cnf(s17,plain,
( spl0_2
| spl0_25
| spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f448]) ).
cnf(s18,plain,
( spl0_2
| spl0_29
| ~ spl0_31
| ~ spl0_32 ),
inference(sat_conversion,[],[f457]) ).
cnf(s20,plain,
( spl0_2
| spl0_17
| spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f469]) ).
cnf(s24,plain,
( spl0_2
| spl0_3
| ~ spl0_7
| spl0_24 ),
inference(sat_conversion,[],[f483]) ).
cnf(s25,plain,
( spl0_2
| spl0_19
| spl0_24
| ~ spl0_32 ),
inference(sat_conversion,[],[f484]) ).
cnf(s28,plain,
( spl0_2
| spl0_24
| spl0_34
| spl0_41 ),
inference(sat_conversion,[],[f499]) ).
cnf(s29,plain,
( spl0_2
| ~ spl0_7
| spl0_38
| spl0_42 ),
inference(sat_conversion,[],[f503]) ).
cnf(s30,plain,
( spl0_2
| spl0_42
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f510]) ).
cnf(s31,plain,
( spl0_2
| spl0_26
| spl0_42
| ~ spl0_45 ),
inference(sat_conversion,[],[f515]) ).
cnf(s32,plain,
( spl0_2
| spl0_20
| spl0_46 ),
inference(sat_conversion,[],[f519]) ).
cnf(s34,plain,
( spl0_2
| ~ spl0_13
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f525]) ).
cnf(s35,plain,
( spl0_2
| spl0_3
| spl0_5
| ~ spl0_36 ),
inference(sat_conversion,[],[f526]) ).
cnf(s36,plain,
( spl0_2
| spl0_19
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f533]) ).
cnf(s42,plain,
( spl0_2
| ~ spl0_7
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f553]) ).
cnf(s43,plain,
( spl0_2
| spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f554]) ).
cnf(s45,plain,
( spl0_2
| spl0_6
| ~ spl0_13
| spl0_33 ),
inference(sat_conversion,[],[f560]) ).
cnf(s48,plain,
( spl0_2
| spl0_34
| spl0_50
| spl0_57 ),
inference(sat_conversion,[],[f575]) ).
cnf(s52,plain,
( spl0_2
| ~ spl0_8
| spl0_16
| ~ spl0_27 ),
inference(sat_conversion,[],[f579]) ).
cnf(s53,plain,
( spl0_2
| spl0_28
| spl0_48
| spl0_58 ),
inference(sat_conversion,[],[f584]) ).
cnf(s54,plain,
( spl0_2
| ~ spl0_32
| spl0_39
| spl0_59 ),
inference(sat_conversion,[],[f588]) ).
cnf(s55,plain,
( spl0_2
| ~ spl0_27
| spl0_47
| spl0_59 ),
inference(sat_conversion,[],[f589]) ).
cnf(s56,plain,
( spl0_2
| spl0_21
| ~ spl0_30
| spl0_34 ),
inference(sat_conversion,[],[f590]) ).
cnf(s57,plain,
( spl0_2
| ~ spl0_8
| spl0_34
| spl0_40 ),
inference(sat_conversion,[],[f591]) ).
cnf(s58,plain,
( spl0_2
| spl0_5
| ~ spl0_18
| spl0_23 ),
inference(sat_conversion,[],[f592]) ).
cnf(s59,plain,
( spl0_2
| spl0_5
| spl0_55 ),
inference(sat_conversion,[],[f593]) ).
cnf(s60,plain,
( spl0_2
| spl0_5
| spl0_23
| spl0_55 ),
inference(sat_conversion,[],[f594]) ).
cnf(s62,plain,
( spl0_2
| spl0_49
| spl0_54
| ~ spl0_60 ),
inference(sat_conversion,[],[f600]) ).
cnf(s63,plain,
( spl0_2
| spl0_6
| ~ spl0_36
| spl0_57 ),
inference(sat_conversion,[],[f601]) ).
cnf(s66,plain,
( ~ spl0_4
| spl0_62 ),
inference(sat_conversion,[],[f612]) ).
cnf(s67,plain,
( ~ spl0_4
| spl0_63 ),
inference(sat_conversion,[],[f617]) ).
cnf(s69,plain,
( spl0_7
| ~ spl0_64 ),
inference(sat_conversion,[],[f623]) ).
cnf(s70,plain,
( spl0_7
| spl0_65 ),
inference(sat_conversion,[],[f628]) ).
cnf(s71,plain,
( spl0_7
| spl0_66 ),
inference(sat_conversion,[],[f633]) ).
cnf(s73,plain,
( spl0_8
| ~ spl0_67 ),
inference(sat_conversion,[],[f639]) ).
cnf(s74,plain,
( spl0_8
| ~ spl0_68 ),
inference(sat_conversion,[],[f644]) ).
cnf(s75,plain,
( spl0_8
| spl0_69 ),
inference(sat_conversion,[],[f649]) ).
cnf(s77,plain,
( spl0_13
| ~ spl0_70 ),
inference(sat_conversion,[],[f655]) ).
cnf(s78,plain,
( spl0_13
| ~ spl0_71 ),
inference(sat_conversion,[],[f660]) ).
cnf(s79,plain,
( spl0_13
| ~ spl0_72 ),
inference(sat_conversion,[],[f665]) ).
cnf(s81,plain,
( spl0_18
| ~ spl0_73 ),
inference(sat_conversion,[],[f671]) ).
cnf(s83,plain,
( spl0_18
| spl0_75 ),
inference(sat_conversion,[],[f681]) ).
cnf(s85,plain,
( ~ spl0_23
| ~ spl0_76 ),
inference(sat_conversion,[],[f687]) ).
cnf(s86,plain,
( ~ spl0_23
| spl0_77 ),
inference(sat_conversion,[],[f692]) ).
cnf(s87,plain,
( ~ spl0_23
| spl0_78 ),
inference(sat_conversion,[],[f697]) ).
cnf(s89,plain,
( ~ spl0_26
| ~ spl0_79 ),
inference(sat_conversion,[],[f703]) ).
cnf(s90,plain,
( ~ spl0_26
| ~ spl0_80 ),
inference(sat_conversion,[],[f708]) ).
cnf(s91,plain,
( ~ spl0_26
| spl0_81 ),
inference(sat_conversion,[],[f713]) ).
cnf(s93,plain,
( spl0_27
| ~ spl0_82 ),
inference(sat_conversion,[],[f719]) ).
cnf(s94,plain,
( spl0_27
| ~ spl0_83 ),
inference(sat_conversion,[],[f724]) ).
cnf(s95,plain,
( spl0_27
| spl0_84 ),
inference(sat_conversion,[],[f729]) ).
cnf(s97,plain,
( spl0_31
| ~ spl0_85 ),
inference(sat_conversion,[],[f735]) ).
cnf(s99,plain,
( spl0_31
| spl0_87 ),
inference(sat_conversion,[],[f745]) ).
cnf(s102,plain,
( spl0_32
| ~ spl0_89 ),
inference(sat_conversion,[],[f756]) ).
cnf(s103,plain,
( spl0_32
| spl0_90 ),
inference(sat_conversion,[],[f761]) ).
cnf(s106,plain,
( spl0_35
| ~ spl0_92 ),
inference(sat_conversion,[],[f772]) ).
cnf(s107,plain,
( spl0_35
| spl0_93 ),
inference(sat_conversion,[],[f777]) ).
cnf(s109,plain,
( spl0_36
| ~ spl0_94 ),
inference(sat_conversion,[],[f783]) ).
cnf(s110,plain,
( spl0_36
| ~ spl0_95 ),
inference(sat_conversion,[],[f788]) ).
cnf(s111,plain,
( spl0_36
| ~ spl0_96 ),
inference(sat_conversion,[],[f793]) ).
cnf(s113,plain,
( ~ spl0_39
| ~ spl0_97 ),
inference(sat_conversion,[],[f799]) ).
cnf(s114,plain,
( ~ spl0_39
| spl0_98 ),
inference(sat_conversion,[],[f804]) ).
cnf(s115,plain,
( ~ spl0_39
| spl0_99 ),
inference(sat_conversion,[],[f809]) ).
cnf(s117,plain,
( ~ spl0_40
| ~ spl0_100 ),
inference(sat_conversion,[],[f815]) ).
cnf(s118,plain,
( ~ spl0_40
| spl0_101 ),
inference(sat_conversion,[],[f820]) ).
cnf(s119,plain,
( ~ spl0_40
| spl0_102 ),
inference(sat_conversion,[],[f825]) ).
cnf(s121,plain,
( ~ spl0_41
| ~ spl0_103 ),
inference(sat_conversion,[],[f831]) ).
cnf(s122,plain,
( ~ spl0_41
| ~ spl0_104 ),
inference(sat_conversion,[],[f836]) ).
cnf(s123,plain,
( ~ spl0_41
| spl0_105 ),
inference(sat_conversion,[],[f841]) ).
cnf(s125,plain,
( spl0_45
| ~ spl0_106 ),
inference(sat_conversion,[],[f847]) ).
cnf(s126,plain,
( spl0_45
| spl0_107 ),
inference(sat_conversion,[],[f852]) ).
cnf(s127,plain,
( spl0_45
| spl0_108 ),
inference(sat_conversion,[],[f857]) ).
cnf(s129,plain,
( ~ spl0_47
| ~ spl0_109 ),
inference(sat_conversion,[],[f863]) ).
cnf(s130,plain,
( ~ spl0_47
| ~ spl0_110 ),
inference(sat_conversion,[],[f868]) ).
cnf(s131,plain,
( ~ spl0_47
| spl0_111 ),
inference(sat_conversion,[],[f873]) ).
cnf(s141,plain,
( ~ spl0_54
| ~ spl0_118 ),
inference(sat_conversion,[],[f911]) ).
cnf(s142,plain,
( ~ spl0_54
| spl0_119 ),
inference(sat_conversion,[],[f916]) ).
cnf(s143,plain,
( ~ spl0_54
| spl0_120 ),
inference(sat_conversion,[],[f921]) ).
cnf(s145,plain,
( ~ spl0_55
| ~ spl0_121 ),
inference(sat_conversion,[],[f927]) ).
cnf(s146,plain,
( ~ spl0_55
| spl0_122 ),
inference(sat_conversion,[],[f932]) ).
cnf(s147,plain,
( ~ spl0_55
| spl0_123 ),
inference(sat_conversion,[],[f937]) ).
cnf(s152,plain,
( ~ spl0_2
| ~ spl0_56 ),
inference(sat_conversion,[],[f954]) ).
cnf(s153,plain,
( ~ spl0_57
| ~ spl0_127 ),
inference(sat_conversion,[],[f959]) ).
cnf(s154,plain,
( ~ spl0_57
| spl0_128 ),
inference(sat_conversion,[],[f964]) ).
cnf(s155,plain,
( ~ spl0_57
| spl0_129 ),
inference(sat_conversion,[],[f969]) ).
cnf(s157,plain,
( ~ spl0_58
| ~ spl0_130 ),
inference(sat_conversion,[],[f975]) ).
cnf(s158,plain,
( ~ spl0_58
| ~ spl0_131 ),
inference(sat_conversion,[],[f980]) ).
cnf(s159,plain,
( ~ spl0_58
| spl0_132 ),
inference(sat_conversion,[],[f985]) ).
cnf(s161,plain,
( spl0_60
| ~ spl0_133 ),
inference(sat_conversion,[],[f991]) ).
cnf(s162,plain,
( spl0_60
| ~ spl0_134 ),
inference(sat_conversion,[],[f996]) ).
cnf(s163,plain,
( spl0_60
| spl0_135 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s164,plain,
( ~ spl0_2
| spl0_60 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s165,plain,
( ~ spl0_21
| spl0_136 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s167,plain,
( ~ spl0_21
| spl0_138 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s168,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f1018]) ).
cnf(s173,plain,
( ~ spl0_28
| spl0_142 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s174,plain,
( ~ spl0_28
| spl0_143 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s175,plain,
( ~ spl0_28
| spl0_144 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s177,plain,
( spl0_30
| spl0_145 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s178,plain,
( spl0_30
| spl0_146 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s179,plain,
( spl0_30
| spl0_147 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s181,plain,
( spl0_21
| spl0_56
| ~ spl0_60 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s182,plain,
( ~ spl0_13
| ~ spl0_27
| ~ spl0_45 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s268,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_34
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s279,plain,
( ~ spl0_5
| spl0_64
| ~ spl0_65
| ~ spl0_66 ),
inference(sat_conversion,[],[f1443]) ).
cnf(s310,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_11
| spl0_103
| ~ spl0_105 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s426,plain,
( ~ spl0_16
| spl0_130
| spl0_131
| ~ spl0_132 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s430,plain,
( ~ spl0_19
| spl0_67
| spl0_68
| ~ spl0_69 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s470,plain,
( ~ spl0_10
| ~ spl0_46
| ~ spl0_122
| spl0_157 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s481,plain,
( ~ spl0_10
| ~ spl0_46
| spl0_89
| ~ spl0_90 ),
inference(sat_conversion,[],[f2214]) ).
cnf(s491,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_19
| spl0_82
| spl0_83 ),
inference(sat_conversion,[],[f2255]) ).
cnf(s529,plain,
( ~ spl0_46
| ~ spl0_122
| ~ spl0_123
| spl0_157 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s569,plain,
( ~ spl0_5
| ~ spl0_20
| ~ spl0_38
| spl0_68
| ~ spl0_69 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s628,plain,
( ~ spl0_15
| spl0_70
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s637,plain,
( ~ spl0_6
| ~ spl0_136
| ~ spl0_138
| ~ spl0_154 ),
inference(sat_conversion,[],[f2743]) ).
cnf(s648,plain,
( ~ spl0_20
| spl0_68
| ~ spl0_69
| ~ spl0_153 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s654,plain,
( ~ spl0_46
| spl0_134
| ~ spl0_135
| ~ spl0_148 ),
inference(sat_conversion,[],[f2848]) ).
cnf(s678,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| spl0_100
| ~ spl0_102 ),
inference(sat_conversion,[],[f2902]) ).
cnf(s679,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| spl0_92
| ~ spl0_93 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s696,plain,
( ~ spl0_14
| spl0_103
| spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f2956]) ).
cnf(s703,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_69
| spl0_153 ),
inference(sat_conversion,[],[f2959]) ).
cnf(s715,plain,
( ~ spl0_6
| ~ spl0_67
| ~ spl0_69
| ~ spl0_153 ),
inference(sat_conversion,[],[f2968]) ).
cnf(s761,plain,
( ~ spl0_34
| spl0_121
| ~ spl0_122
| ~ spl0_123 ),
inference(sat_conversion,[],[f3168]) ).
cnf(s799,plain,
( ~ spl0_10
| ~ spl0_46
| spl0_104
| ~ spl0_151 ),
inference(sat_conversion,[],[f3240]) ).
cnf(s812,plain,
( ~ spl0_16
| spl0_109
| ~ spl0_111
| spl0_164 ),
inference(sat_conversion,[],[f3278]) ).
cnf(s818,plain,
( ~ spl0_29
| spl0_110
| ~ spl0_111
| spl0_164 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s839,plain,
( ~ spl0_42
| spl0_100
| ~ spl0_101
| ~ spl0_102 ),
inference(sat_conversion,[],[f3415]) ).
cnf(s845,plain,
( ~ spl0_6
| ~ spl0_44
| ~ spl0_66
| ~ spl0_161 ),
inference(sat_conversion,[],[f3436]) ).
cnf(s852,plain,
( ~ spl0_11
| ~ spl0_43
| spl0_103
| ~ spl0_105 ),
inference(sat_conversion,[],[f3454]) ).
cnf(s855,plain,
( ~ spl0_11
| ~ spl0_43
| spl0_85
| ~ spl0_87 ),
inference(sat_conversion,[],[f3461]) ).
cnf(s870,plain,
( ~ spl0_25
| spl0_133
| ~ spl0_135
| spl0_148 ),
inference(sat_conversion,[],[f3474]) ).
cnf(s885,plain,
( ~ spl0_50
| spl0_82
| ~ spl0_84
| spl0_168 ),
inference(sat_conversion,[],[f3574]) ).
cnf(s886,plain,
( ~ spl0_50
| spl0_64
| ~ spl0_66
| spl0_161 ),
inference(sat_conversion,[],[f3575]) ).
cnf(s896,plain,
( ~ spl0_50
| ~ spl0_59
| ~ spl0_138
| spl0_154 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s901,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_73
| ~ spl0_75 ),
inference(sat_conversion,[],[f3628]) ).
cnf(s902,plain,
( ~ spl0_50
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(sat_conversion,[],[f3630]) ).
cnf(s916,plain,
( ~ spl0_19
| spl0_83
| ~ spl0_84
| spl0_168 ),
inference(sat_conversion,[],[f3659]) ).
cnf(s929,plain,
( ~ spl0_34
| spl0_97
| ~ spl0_98
| ~ spl0_155 ),
inference(sat_conversion,[],[f3681]) ).
cnf(s972,plain,
( ~ spl0_20
| spl0_127
| ~ spl0_129
| ~ spl0_150 ),
inference(sat_conversion,[],[f3745]) ).
cnf(s974,plain,
( ~ spl0_11
| spl0_127
| ~ spl0_128
| spl0_150 ),
inference(sat_conversion,[],[f3746]) ).
cnf(s999,plain,
( ~ spl0_50
| spl0_67
| ~ spl0_69
| spl0_153 ),
inference(sat_conversion,[],[f3765]) ).
cnf(s1090,plain,
( ~ spl0_24
| spl0_109
| spl0_110
| ~ spl0_164 ),
inference(sat_conversion,[],[f3834]) ).
cnf(s1092,plain,
( ~ spl0_25
| spl0_67
| spl0_68
| ~ spl0_153 ),
inference(sat_conversion,[],[f3839]) ).
cnf(s1116,plain,
( ~ spl0_29
| ~ spl0_48
| spl0_121
| ~ spl0_123 ),
inference(sat_conversion,[],[f3901]) ).
cnf(s1128,plain,
( ~ spl0_6
| ~ spl0_128
| ~ spl0_129
| ~ spl0_150 ),
inference(sat_conversion,[],[f3915]) ).
cnf(s1150,plain,
( ~ spl0_5
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f4026]) ).
cnf(s1242,plain,
( ~ spl0_48
| spl0_97
| ~ spl0_98
| ~ spl0_99 ),
inference(sat_conversion,[],[f4335]) ).
cnf(s1260,plain,
( ~ spl0_5
| ~ spl0_38
| spl0_82
| ~ spl0_84 ),
inference(sat_conversion,[],[f4365]) ).
cnf(s1264,plain,
( ~ spl0_5
| ~ spl0_38
| spl0_106
| ~ spl0_108 ),
inference(sat_conversion,[],[f4369]) ).
cnf(s1276,plain,
( ~ spl0_5
| ~ spl0_98
| ~ spl0_99
| spl0_155 ),
inference(sat_conversion,[],[f4389]) ).
cnf(s1298,plain,
( ~ spl0_6
| ~ spl0_145
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f4413]) ).
cnf(s1319,plain,
( ~ spl0_10
| ~ spl0_24
| ~ spl0_46
| spl0_80
| ~ spl0_81 ),
inference(sat_conversion,[],[f4482]) ).
cnf(s1326,plain,
( ~ spl0_17
| ~ spl0_59
| spl0_121
| ~ spl0_122 ),
inference(sat_conversion,[],[f4513]) ).
cnf(s1358,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_59
| spl0_67
| ~ spl0_69 ),
inference(sat_conversion,[],[f4598]) ).
cnf(s1403,plain,
( ~ spl0_15
| ~ spl0_24
| ~ spl0_46
| spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f4681]) ).
cnf(s1434,plain,
( ~ spl0_11
| spl0_82
| spl0_83
| ~ spl0_168 ),
inference(sat_conversion,[],[f4716]) ).
cnf(s1438,plain,
( ~ spl0_14
| ~ spl0_42
| ~ spl0_49
| ~ spl0_62
| ~ spl0_63 ),
inference(sat_conversion,[],[f4720]) ).
cnf(s1478,plain,
( ~ spl0_14
| ~ spl0_33
| ~ spl0_42
| ~ spl0_49
| ~ spl0_128 ),
inference(sat_conversion,[],[f4770]) ).
cnf(s1481,plain,
( ~ spl0_49
| ~ spl0_65
| ~ spl0_66
| ~ spl0_161 ),
inference(sat_conversion,[],[f4773]) ).
cnf(s1491,plain,
( ~ spl0_24
| ~ spl0_44
| spl0_106
| ~ spl0_107 ),
inference(sat_conversion,[],[f4814]) ).
cnf(s1498,plain,
( ~ spl0_11
| spl0_103
| ~ spl0_105
| spl0_151 ),
inference(sat_conversion,[],[f4824]) ).
cnf(s1520,plain,
( ~ spl0_1
| spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f4863]) ).
cnf(s1534,plain,
( ~ spl0_25
| ~ spl0_48
| spl0_59 ),
inference(sat_conversion,[],[f4878]) ).
cnf(s1540,plain,
( ~ spl0_48
| spl0_121
| ~ spl0_123
| ~ spl0_157 ),
inference(sat_conversion,[],[f4886]) ).
cnf(s1587,plain,
( ~ spl0_1
| spl0_94
| spl0_95
| spl0_96 ),
inference(sat_conversion,[],[f4919]) ).
cnf(s1590,plain,
( ~ spl0_11
| ~ spl0_67
| spl0_68
| spl0_153 ),
inference(sat_conversion,[],[f4921]) ).
cnf(s1592,plain,
( ~ spl0_3
| spl0_76
| ~ spl0_77
| ~ spl0_78 ),
inference(sat_conversion,[],[f4927]) ).
cnf(s1614,plain,
( ~ spl0_24
| spl0_79
| spl0_80
| ~ spl0_81 ),
inference(sat_conversion,[],[f4947]) ).
cnf(s1639,plain,
( ~ spl0_46
| spl0_118
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f4970]) ).
cnf(s1676,plain,
( ~ spl0_49
| ~ spl0_142
| ~ spl0_143
| ~ spl0_144 ),
inference(sat_conversion,[],[f4994]) ).
cnf(s1683,plain,
( ~ spl0_11
| ~ spl0_43
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f5020]) ).
cnf(s1686,plain,
( ~ spl0_11
| ~ spl0_43
| spl0_83
| ~ spl0_168 ),
inference(sat_conversion,[],[f5023]) ).
cnf(s1687,plain,
( ~ spl0_57
| ~ spl0_6
| ~ spl0_11 ),
inference(rat,[],[s974,s1128,s153,s154,s155]) ).
cnf(s1688,plain,
( spl0_8
| spl0_49
| ~ spl0_50
| spl0_121
| ~ spl0_123
| spl0_3
| spl0_2 ),
inference(rat,[],[s1116,s36,s16,s1092,s999,s430,s73,s74,s75]) ).
cnf(s1689,plain,
( ~ spl0_48
| spl0_59
| ~ spl0_55
| spl0_3
| spl0_2 ),
inference(rat,[],[s16,s1534,s1116,s147,s145]) ).
cnf(s1691,plain,
( spl0_30
| ~ spl0_6 ),
inference(rat,[],[s1298,s177,s178,s179]) ).
cnf(s1693,plain,
( spl0_27
| ~ spl0_19
| ~ spl0_43
| ~ spl0_11 ),
inference(rat,[],[s1686,s916,s94,s95]) ).
cnf(s1694,plain,
( ~ spl0_41
| ~ spl0_43
| ~ spl0_11 ),
inference(rat,[],[s852,s121,s123]) ).
cnf(s1695,plain,
( spl0_59
| ~ spl0_43
| ~ spl0_8
| spl0_49
| spl0_5
| spl0_3
| spl0_2 ),
inference(rat,[],[s1090,s812,s129,s130,s131,s52,s55,s1693,s36,s1689,s28,s1694,s43,s761,s145,s146,s147,s59]) ).
cnf(s1696,plain,
( spl0_49
| spl0_44
| spl0_59
| ~ spl0_50
| spl0_5
| spl0_3
| spl0_2 ),
inference(rat,[],[s839,s30,s117,s118,s119,s1695,s57,s1688,s761,s145,s146,s147,s59]) ).
cnf(s1697,plain,
( spl0_27
| ~ spl0_43
| ~ spl0_50
| ~ spl0_11 ),
inference(rat,[],[s885,s1686,s93,s94,s95]) ).
cnf(s1698,plain,
( ~ spl0_161
| ~ spl0_66
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1090,s818,s129,s130,s131,s55,s1697,s30,s1438,s8,s16,s648,s1092,s430,s999,s73,s74,s75,s24,s3,s70,s1481,s1696,s845,s67,s66,s1,s896,s48,s1687,s43,s637,s165,s167,s56,s1691,s2,s761,s145,s146,s147,s59]) ).
cnf(s1699,plain,
( ~ spl0_47
| ~ spl0_29
| ~ spl0_24 ),
inference(rat,[],[s1090,s818,s129,s130,s131]) ).
cnf(s1700,plain,
( spl0_27
| ~ spl0_50
| ~ spl0_11 ),
inference(rat,[],[s885,s1434,s93,s94,s95]) ).
cnf(s1701,plain,
( ~ spl0_7
| spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s16,s1092,s999,s1699,s73,s74,s75,s24,s3,s55,s1700,s896,s48,s1687,s43,s637,s165,s167,s56,s1691,s2,s761,s145,s146,s147,s59]) ).
cnf(s1702,plain,
( spl0_5
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s886,s1698,s69,s71,s1701,s48,s1687,s761,s145,s146,s147,s2,s43,s59]) ).
cnf(s1704,plain,
( spl0_7
| ~ spl0_5 ),
inference(rat,[],[s279,s69,s70,s71]) ).
cnf(s1706,plain,
( ~ spl0_39
| ~ spl0_34
| ~ spl0_5 ),
inference(rat,[],[s929,s1276,s113,s114,s115]) ).
cnf(s1708,plain,
( ~ spl0_58
| ~ spl0_16 ),
inference(rat,[],[s426,s157,s158,s159]) ).
cnf(s1709,plain,
( ~ spl0_28
| ~ spl0_49 ),
inference(rat,[],[s1676,s173,s174,s175]) ).
cnf(s1711,plain,
( ~ spl0_38
| spl0_67
| spl0_68
| ~ spl0_69
| ~ spl0_5
| spl0_3
| spl0_2 ),
inference(rat,[],[s1260,s93,s95,s55,s1699,s16,s1092,s703,s1358,s24,s1704]) ).
cnf(s1712,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1150,s6,s1708,s53,s1709,s1438,s36,s1242,s113,s114,s115,s42,s29,s1711,s430,s73,s74,s75,s3,s1704,s1702,s66,s67,s1]) ).
cnf(s1714,plain,
( spl0_38
| ~ spl0_49
| ~ spl0_5
| spl0_2 ),
inference(rat,[],[s1438,s66,s67,s6,s15,s1150,s1708,s53,s1242,s113,s114,s115,s42,s29,s1704,s1709]) ).
cnf(s1716,plain,
( spl0_38
| spl0_19
| ~ spl0_5
| spl0_2 ),
inference(rat,[],[s1242,s36,s113,s114,s115,s1714,s42,s1704]) ).
cnf(s1717,plain,
( spl0_27
| ~ spl0_38
| ~ spl0_5 ),
inference(rat,[],[s1260,s93,s95]) ).
cnf(s1718,plain,
( spl0_10
| spl0_109
| spl0_110
| ~ spl0_111
| ~ spl0_27
| spl0_25
| spl0_2 ),
inference(rat,[],[s1090,s812,s13,s11]) ).
cnf(s1719,plain,
( spl0_32
| ~ spl0_10
| ~ spl0_46 ),
inference(rat,[],[s481,s102,s103]) ).
cnf(s1720,plain,
( ~ spl0_54
| ~ spl0_46 ),
inference(rat,[],[s1639,s141,s142,s143]) ).
cnf(s1721,plain,
( ~ spl0_23
| ~ spl0_3 ),
inference(rat,[],[s1592,s85,s86,s87]) ).
cnf(s1722,plain,
( spl0_45
| ~ spl0_38
| ~ spl0_5 ),
inference(rat,[],[s1264,s125,s127]) ).
cnf(s1723,plain,
( ~ spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s1319,s90,s91,s31,s1722,s1438,s66,s67,s15,s1709,s36,s1242,s1403,s113,s114,s115,s25,s54,s1719,s1718,s129,s130,s131,s55,s1717,s8,s32,s1092,s569,s703,s1358,s1716,s430,s73,s74,s75,s3,s1704]) ).
cnf(s1724,plain,
( spl0_67
| spl0_68
| ~ spl0_69
| ~ spl0_47
| ~ spl0_27
| ~ spl0_50
| ~ spl0_30
| spl0_2 ),
inference(rat,[],[s25,s1719,s1699,s32,s1718,s17,s648,s1092,s999,s430,s131,s130,s129]) ).
cnf(s1725,plain,
( spl0_68
| ~ spl0_69
| ~ spl0_47
| ~ spl0_50
| ~ spl0_6
| ~ spl0_11
| spl0_2 ),
inference(rat,[],[s715,s1590,s1724,s1691,s1700]) ).
cnf(s1726,plain,
( ~ spl0_8
| spl0_2
| spl0_1 ),
inference(rat,[],[s1694,s30,s28,s845,s1090,s886,s839,s812,s69,s71,s117,s118,s119,s52,s3,s57,s131,s130,s129,s55,s1700,s901,s48,s1687,s43,s268,s146,s147,s60,s2,s81,s83,s58,s1721,s1712,s1723]) ).
cnf(s1727,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s1725,s74,s75,s1726,s55,s901,s1700,s48,s268,s1687,s81,s83,s146,s147,s2,s43,s58,s60,s1723,s1721,s1712]) ).
cnf(s1728,plain,
~ spl0_2,
inference(rat,[],[s181,s152,s164,s168]) ).
cnf(s1729,plain,
spl0_1,
inference(rat,[],[s1727,s1728]) ).
cnf(s1730,plain,
( spl0_67
| spl0_68
| ~ spl0_69
| ~ spl0_5 ),
inference(rat,[],[s1319,s90,s91,s31,s1438,s66,s67,s15,s1709,s36,s1242,s113,s114,s115,s25,s54,s1719,s628,s1718,s77,s78,s79,s129,s130,s131,s182,s55,s8,s32,s1092,s1722,s1717,s569,s703,s1358,s1716,s430,s1728]) ).
cnf(s1731,plain,
( spl0_13
| ~ spl0_15 ),
inference(rat,[],[s628,s77,s78,s79]) ).
cnf(s1733,plain,
( spl0_38
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s839,s117,s118,s119,s57,s1706,s42,s29,s1704,s1728]) ).
cnf(s1734,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s1731,s1520,s182,s52,s1722,s1717,s1733,s1728,s1729]) ).
cnf(s1735,plain,
~ spl0_5,
inference(rat,[],[s75,s1730,s73,s74,s1734]) ).
cnf(s1736,plain,
spl0_55,
inference(rat,[],[s59,s1728,s1735]) ).
cnf(s1737,plain,
spl0_11,
inference(rat,[],[s43,s1728,s1735]) ).
cnf(s1738,plain,
spl0_123,
inference(rat,[],[s147,s1736]) ).
cnf(s1739,plain,
spl0_122,
inference(rat,[],[s146,s1736]) ).
cnf(s1740,plain,
~ spl0_121,
inference(rat,[],[s145,s1736]) ).
cnf(s1741,plain,
~ spl0_34,
inference(rat,[],[s761,s1738,s1739,s1740]) ).
cnf(s1742,plain,
( spl0_45
| ~ spl0_44
| ~ spl0_24 ),
inference(rat,[],[s1491,s125,s126]) ).
cnf(s1743,plain,
( ~ spl0_153
| ~ spl0_47
| spl0_67
| ~ spl0_27
| spl0_68
| ~ spl0_69 ),
inference(rat,[],[s1319,s90,s91,s31,s1742,s30,s1438,s66,s67,s855,s15,s97,s99,s1709,s18,s36,s1403,s1699,s1540,s25,s470,s1719,s8,s32,s1718,s648,s1092,s430,s131,s130,s129,s1728,s1737,s1738,s1740,s1739]) ).
cnf(s1744,plain,
( ~ spl0_47
| spl0_67
| ~ spl0_27
| spl0_68
| ~ spl0_69 ),
inference(rat,[],[s1319,s90,s91,s31,s1742,s30,s1438,s66,s67,s15,s1403,s25,s1719,s13,s1708,s53,s1709,s36,s1540,s529,s8,s32,s972,s1683,s974,s153,s154,s155,s48,s999,s1743,s130,s131,s430,s1728,s1738,s1740,s1739,s1737,s1741]) ).
cnf(s1745,plain,
( spl0_67
| ~ spl0_27
| spl0_68
| ~ spl0_69 ),
inference(rat,[],[s1319,s90,s91,s31,s1742,s30,s1438,s66,s67,s15,s679,s25,s1719,s13,s1708,s53,s1709,s36,s1540,s529,s8,s32,s972,s1683,s974,s153,s154,s155,s106,s107,s48,s20,s902,s1326,s55,s1744,s430,s1728,s1738,s1740,s1739,s1737,s1741]) ).
cnf(s1746,plain,
( ~ spl0_27
| spl0_68
| ~ spl0_69 ),
inference(rat,[],[s870,s654,s161,s162,s163,s11,s62,s799,s1709,s1498,s53,s121,s122,s123,s1540,s28,s529,s1720,s678,s32,s1708,s1520,s117,s119,s648,s52,s57,s1590,s73,s1745,s1729,s1739,s1741,s1740,s1738,s1737,s1728]) ).
cnf(s1748,plain,
( ~ spl0_41
| ~ spl0_14 ),
inference(rat,[],[s696,s121,s122,s123]) ).
cnf(s1749,plain,
( ~ spl0_26
| ~ spl0_24 ),
inference(rat,[],[s1614,s89,s90,s91]) ).
cnf(s1750,plain,
( spl0_42
| spl0_27 ),
inference(rat,[],[s1742,s31,s30,s1683,s1749,s28,s1748,s8,s972,s974,s154,s155,s153,s48,s1700,s491,s93,s94,s1728,s1741,s1737,s1729]) ).
cnf(s1751,plain,
spl0_27,
inference(rat,[],[s1438,s66,s67,s15,s1731,s45,s1478,s1750,s1709,s36,s1540,s529,s8,s32,s972,s974,s1687,s153,s154,s155,s48,s491,s1700,s93,s94,s1728,s1738,s1740,s1739,s1737,s1741,s1729]) ).
cnf(s1752,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(rat,[],[s1090,s812,s129,s130,s131,s34,s678,s119,s117,s57,s1731,s1520,s52,s1728,s1729,s1751,s1741]) ).
cnf(s1753,plain,
( ~ spl0_46
| ~ spl0_8 ),
inference(rat,[],[s870,s654,s161,s162,s163,s62,s1709,s53,s11,s1540,s799,s529,s1720,s1708,s52,s122,s1498,s123,s121,s28,s1752,s1728,s1738,s1740,s1739,s1741,s1737,s1751]) ).
cnf(s1755,plain,
( ~ spl0_57
| ~ spl0_20 ),
inference(rat,[],[s974,s972,s153,s154,s155,s1737]) ).
cnf(s1756,plain,
spl0_36,
inference(rat,[],[s1587,s109,s110,s111,s1729]) ).
cnf(s1757,plain,
spl0_3,
inference(rat,[],[s35,s1735,s1728,s1756]) ).
cnf(s1758,plain,
~ spl0_8,
inference(rat,[],[s310,s63,s1755,s32,s1753,s121,s123,s28,s1752,s1757,s1737,s1756,s1728,s1741]) ).
cnf(s1760,plain,
spl0_69,
inference(rat,[],[s75,s1758]) ).
cnf(s1761,plain,
~ spl0_68,
inference(rat,[],[s74,s1758]) ).
cnf(s1764,plain,
$false,
inference(rat,[],[s1746,s1751,s1760,s1761]) ).
fof(f5024,plain,
$false,
inference(avatar_sat_refutation,[],[s1764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN469+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n016.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 16:14:33 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.35/0.30 % (3738389)Will run a generic schedule for satisfiability detection.
% 0.35/0.30 % (3738395)% WARNING: option uhcvi not known.
% 0.35/0.30 % (3738395)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3550793891:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.30 % (3738398)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2525843747:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.30 % (3738400)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=289243428:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.30 % (3738394)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3270198536_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.30 % (3738397)dis+10_1_sil=32000:sp=arity:random_seed=4237673684:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.30 % (3738396)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3822432340:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.30 % (3738399)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1504614321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.30 % Detected minimum model sizes of [1]
% 0.35/0.30 % Detected maximum model sizes of [29]
% 0.35/0.30 % TRYING [1]
% 0.35/0.30 % TRYING [2]
% 0.35/0.30 % TRYING [3]
% 0.35/0.30 % TRYING [4]
% 0.35/0.30 % (3738400) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3738389-3738400"...
% 0.35/0.30 % (3738395) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3738389-3738395"...
% 0.35/0.30 % (3738395)...printing done.
% 0.35/0.30 % (3738395)Refutation found. Thanks to Tanya!
% 0.35/0.30 % SZS status Theorem for theBenchmark
% 0.35/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.31 % (3738395)------------------------------
% 0.35/0.31 % (3738395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.31 % (3738395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.31 % (3738395)CaDiCaL version: 2.1.3
% 0.35/0.31 % (3738395)Termination reason: Refutation
% 0.35/0.31 % (3738395)Time elapsed: 0.048 s
% 0.35/0.31 % (3738395)Peak memory usage: 15 MB
% 0.35/0.31 % (3738395)Instructions burned: 128 (million)
% 0.35/0.31 % (3738389)Success in time 0.082 s
% 0.35/0.31 % Vampire exiting
%------------------------------------------------------------------------------