%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:54:50 PM UTC 2026
% Result : Theorem 2.91s 1.12s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 98
% Syntax : Number of formulae : 580 ( 31 unt; 97 def)
% Number of atoms : 5450 ( 0 equ)
% Maximal formula atoms : 712 ( 9 avg)
% Number of connectives : 7305 (2435 ~;3470 |; 955 &)
% ( 97 <=>; 348 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 133 ( 132 usr; 129 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 723 ( 0 sgn 723 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| hskp0
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c3_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17) ) )
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| c3_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp6 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27) ) )
| hskp0 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp7 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp4 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp8 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp9
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| hskp8
| hskp7 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| hskp7 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp6 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| hskp6
| hskp12 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51) ) ) )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53) ) )
| hskp11 )
& ( ! [X54] :
( ndr1_0
=> ( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54) ) )
| hskp2
| hskp1 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56) ) )
| hskp13 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| hskp8 )
& ( ! [X59] :
( ndr1_0
=> ( c0_1(X59)
| ~ c1_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60) ) )
| hskp14 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) ) )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65) ) )
| hskp15 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| hskp9 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp13 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp27 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp16 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| hskp12 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c3_1(X77)
| ~ c0_1(X77)
| ~ c1_1(X77) ) )
| hskp17 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78) ) )
| hskp28
| hskp8 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79) ) )
| hskp10
| hskp18 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81) ) )
| hskp19 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| hskp20 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| c3_1(X84)
| ~ c0_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85) ) )
| hskp10 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp29
| hskp21 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp6 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c0_1(X89)
| ~ c3_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp22 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) ) )
& ( ! [X94] :
( ndr1_0
=> ( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94) ) )
| hskp23 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95) ) )
| hskp24
| hskp15 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98) ) ) )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| c3_1(X99)
| ~ c0_1(X99) ) )
| hskp3
| hskp25 )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c3_1(X100)
| ~ c1_1(X100) ) )
| ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c2_1(X101) ) )
| hskp15 )
& ( ! [X102] :
( ndr1_0
=> ( c2_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp6 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104) ) )
| hskp8
| hskp26 )
& ( ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| hskp6
| hskp13 )
& ( ! [X106] :
( ndr1_0
=> ( c2_1(X106)
| ~ c0_1(X106)
| ~ c3_1(X106) ) )
| hskp23
| hskp3 )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| ~ c1_1(X107)
| ~ c3_1(X107) ) )
| hskp6
| hskp22 )
& ( ! [X108] :
( ndr1_0
=> ( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108) ) )
| hskp4
| hskp19 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110) ) )
| hskp17 )
& ( ! [X111] :
( ndr1_0
=> ( c3_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111) ) )
| hskp23
| hskp4 )
& ( ! [X112] :
( ndr1_0
=> ( ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp9
| hskp12 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp7 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp24
| hskp3 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| hskp0
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c3_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17) ) )
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| c3_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp6 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27) ) )
| hskp0 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp7 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp4 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp8 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp9
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| hskp8
| hskp7 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| hskp7 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp6 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| hskp6
| hskp12 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51) ) ) )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53) ) )
| hskp11 )
& ( ! [X54] :
( ndr1_0
=> ( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54) ) )
| hskp2
| hskp1 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56) ) )
| hskp13 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| hskp8 )
& ( ! [X59] :
( ndr1_0
=> ( c0_1(X59)
| ~ c1_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60) ) )
| hskp14 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) ) )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65) ) )
| hskp15 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| hskp9 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp13 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp27 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp16 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| hskp12 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c3_1(X77)
| ~ c0_1(X77)
| ~ c1_1(X77) ) )
| hskp17 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78) ) )
| hskp28
| hskp8 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79) ) )
| hskp10
| hskp18 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81) ) )
| hskp19 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| hskp20 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| c3_1(X84)
| ~ c0_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85) ) )
| hskp10 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp29
| hskp21 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp6 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c0_1(X89)
| ~ c3_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp22 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) ) )
& ( ! [X94] :
( ndr1_0
=> ( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94) ) )
| hskp23 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95) ) )
| hskp24
| hskp15 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98) ) ) )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| c3_1(X99)
| ~ c0_1(X99) ) )
| hskp3
| hskp25 )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c3_1(X100)
| ~ c1_1(X100) ) )
| ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c2_1(X101) ) )
| hskp15 )
& ( ! [X102] :
( ndr1_0
=> ( c2_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp6 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104) ) )
| hskp8
| hskp26 )
& ( ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| hskp6
| hskp13 )
& ( ! [X106] :
( ndr1_0
=> ( c2_1(X106)
| ~ c0_1(X106)
| ~ c3_1(X106) ) )
| hskp23
| hskp3 )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| ~ c1_1(X107)
| ~ c3_1(X107) ) )
| hskp6
| hskp22 )
& ( ! [X108] :
( ndr1_0
=> ( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108) ) )
| hskp4
| hskp19 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110) ) )
| hskp17 )
& ( ! [X111] :
( ndr1_0
=> ( c3_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111) ) )
| hskp23
| hskp4 )
& ( ! [X112] :
( ndr1_0
=> ( ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp9
| hskp12 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp7 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp24
| hskp3 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| hskp0
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c3_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c2_1(X5)
| c3_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10) ) )
| hskp3 )
& ( ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12) ) )
| hskp4 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17) ) )
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| c3_1(X20) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c2_1(X21)
| c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp6 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25) ) ) )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27) ) )
| hskp0 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29) ) )
| hskp7 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp4 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp8 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34) ) )
| hskp9
| hskp10 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35) ) )
| hskp8
| hskp7 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp11 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38) ) )
| ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| hskp7 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( ~ c0_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) )
| hskp6 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48) ) )
| hskp6
| hskp12 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51) ) ) )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53) ) )
| hskp11 )
& ( ! [X54] :
( ndr1_0
=> ( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54) ) )
| hskp2
| hskp1 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56) ) )
| hskp13 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58) ) )
| hskp8 )
& ( ! [X59] :
( ndr1_0
=> ( c0_1(X59)
| ~ c1_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60) ) )
| hskp14 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ) ) )
& ( ! [X64] :
( ndr1_0
=> ( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65) ) )
| hskp15 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67) ) )
| hskp9 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| c3_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp13 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71) ) )
| hskp27 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73) ) )
| hskp16 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| hskp12 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( c3_1(X77)
| ~ c0_1(X77)
| ~ c1_1(X77) ) )
| hskp17 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78) ) )
| hskp28
| hskp8 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79) ) )
| hskp10
| hskp18 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81) ) )
| hskp19 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c3_1(X82)
| ~ c0_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83) ) )
| hskp20 )
& ( ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| c3_1(X84)
| ~ c0_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85) ) )
| hskp10 )
& ( ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp29
| hskp21 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp6 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| ~ c0_1(X89)
| ~ c3_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90) ) )
| hskp22 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) ) )
& ( ! [X94] :
( ndr1_0
=> ( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94) ) )
| hskp23 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95) ) )
| hskp24
| hskp15 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98) ) ) )
& ( ! [X99] :
( ndr1_0
=> ( c2_1(X99)
| c3_1(X99)
| ~ c0_1(X99) ) )
| hskp3
| hskp25 )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| c3_1(X100)
| ~ c1_1(X100) ) )
| ! [X101] :
( ndr1_0
=> ( c3_1(X101)
| ~ c0_1(X101)
| ~ c2_1(X101) ) )
| hskp15 )
& ( ! [X102] :
( ndr1_0
=> ( c2_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102) ) )
| ! [X103] :
( ndr1_0
=> ( ~ c0_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp6 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104) ) )
| hskp8
| hskp26 )
& ( ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105) ) )
| hskp6
| hskp13 )
& ( ! [X106] :
( ndr1_0
=> ( c2_1(X106)
| ~ c0_1(X106)
| ~ c3_1(X106) ) )
| hskp23
| hskp3 )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| ~ c1_1(X107)
| ~ c3_1(X107) ) )
| hskp6
| hskp22 )
& ( ! [X108] :
( ndr1_0
=> ( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108) ) )
| hskp4
| hskp19 )
& ( ! [X109] :
( ndr1_0
=> ( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109) ) )
| ! [X110] :
( ndr1_0
=> ( ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110) ) )
| hskp17 )
& ( ! [X111] :
( ndr1_0
=> ( c3_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111) ) )
| hskp23
| hskp4 )
& ( ! [X112] :
( ndr1_0
=> ( ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112) ) )
| hskp9
| hskp12 )
& ( ! [X113] :
( ndr1_0
=> ( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113) ) )
| hskp7 )
& ( ! [X114] :
( ndr1_0
=> ( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp24
| hskp3 )
& ( ! [X115] :
( ndr1_0
=> ( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115) ) )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| hskp0
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c3_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c2_1(X5)
| c3_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8)
| ~ ndr1_0 ) )
& ( ! [X9] :
( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15)
| ~ ndr1_0 ) )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| ! [X17] :
( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| c3_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c1_1(X20)
| c2_1(X20)
| c3_1(X20)
| ~ ndr1_0 ) )
& ( ! [X21] :
( c0_1(X21)
| c2_1(X21)
| c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0 ) )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34)
| ~ ndr1_0 )
| hskp9
| hskp10 )
& ( ! [X35] :
( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp8
| hskp7 )
& ( ! [X36] :
( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X38] :
( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38)
| ~ ndr1_0 )
| ! [X39] :
( c1_1(X39)
| c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( ~ c0_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48)
| ~ ndr1_0 )
| hskp6
| hskp12 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c1_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51)
| ~ ndr1_0 ) )
& ( ! [X52] :
( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0 )
| ! [X53] :
( c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X54] :
( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54)
| ~ ndr1_0 )
| hskp2
| hskp1 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X57] :
( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X59] :
( c0_1(X59)
| ~ c1_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( c2_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 ) )
& ( ! [X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X66] :
( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| c3_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X74] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( c3_1(X77)
| ~ c0_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X78] :
( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp28
| hskp8 )
& ( ! [X79] :
( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| hskp10
| hskp18 )
& ( ! [X80] :
( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X82] :
( c1_1(X82)
| c3_1(X82)
| ~ c0_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X84] :
( c1_1(X84)
| c3_1(X84)
| ~ c0_1(X84)
| ~ ndr1_0 )
| ! [X85] :
( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X86] :
( c1_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| ~ ndr1_0 )
| hskp29
| hskp21 )
& ( ! [X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X89] :
( c1_1(X89)
| ~ c0_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X91] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 ) )
& ( ! [X94] :
( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp23 )
& ( ! [X95] :
( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp24
| hskp15 )
& ( ! [X96] :
( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| ! [X97] :
( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| ! [X98] :
( c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98)
| ~ ndr1_0 ) )
& ( ! [X99] :
( c2_1(X99)
| c3_1(X99)
| ~ c0_1(X99)
| ~ ndr1_0 )
| hskp3
| hskp25 )
& ( ! [X100] :
( c2_1(X100)
| c3_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| ! [X101] :
( c3_1(X101)
| ~ c0_1(X101)
| ~ c2_1(X101)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X102] :
( c2_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102)
| ~ ndr1_0 )
| ! [X103] :
( ~ c0_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X104] :
( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104)
| ~ ndr1_0 )
| hskp8
| hskp26 )
& ( ! [X105] :
( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105)
| ~ ndr1_0 )
| hskp6
| hskp13 )
& ( ! [X106] :
( c2_1(X106)
| ~ c0_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp23
| hskp3 )
& ( ! [X107] :
( c2_1(X107)
| ~ c1_1(X107)
| ~ c3_1(X107)
| ~ ndr1_0 )
| hskp6
| hskp22 )
& ( ! [X108] :
( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108)
| ~ ndr1_0 )
| hskp4
| hskp19 )
& ( ! [X109] :
( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109)
| ~ ndr1_0 )
| ! [X110] :
( ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X111] :
( c3_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111)
| ~ ndr1_0 )
| hskp23
| hskp4 )
& ( ! [X112] :
( ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112)
| ~ ndr1_0 )
| hskp9
| hskp12 )
& ( ! [X113] :
( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X114] :
( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| ~ ndr1_0 )
| hskp24
| hskp3 )
& ( ! [X115] :
( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115)
| ~ ndr1_0 )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1000)
& c2_1(a1000)
& ~ c3_1(a1000) ) )
& ( ~ hskp1
| ( ndr1_0
& c2_1(a1001)
& c3_1(a1001)
& ~ c1_1(a1001) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a1002)
& c2_1(a1002)
& ~ c1_1(a1002) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1003)
& ~ c0_1(a1003)
& ~ c2_1(a1003) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a1004)
& c2_1(a1004)
& ~ c3_1(a1004) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c1_1(a1005)
& ~ c2_1(a1005)
& ~ c3_1(a1005) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1006)
& c3_1(a1006)
& ~ c2_1(a1006) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a1008)
& ~ c1_1(a1008)
& ~ c3_1(a1008) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1010)
& c3_1(a1010)
& ~ c1_1(a1010) ) )
& ( ~ hskp9
| ( ndr1_0
& c0_1(a1011)
& c1_1(a1011)
& ~ c2_1(a1011) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a1012)
& ~ c1_1(a1012)
& ~ c3_1(a1012) ) )
& ( ~ hskp11
| ( ndr1_0
& c3_1(a1015)
& ~ c0_1(a1015)
& ~ c1_1(a1015) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a1019)
& c2_1(a1019)
& ~ c0_1(a1019) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1023)
& ~ c1_1(a1023)
& ~ c2_1(a1023) ) )
& ( ~ hskp14
| ( ndr1_0
& c0_1(a1025)
& ~ c2_1(a1025)
& ~ c3_1(a1025) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1026)
& ~ c0_1(a1026)
& ~ c1_1(a1026) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1030)
& ~ c2_1(a1030)
& ~ c3_1(a1030) ) )
& ( ~ hskp17
| ( ndr1_0
& c2_1(a1032)
& c3_1(a1032)
& ~ c0_1(a1032) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a1036)
& c3_1(a1036)
& ~ c2_1(a1036) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a1037)
& ~ c1_1(a1037)
& ~ c3_1(a1037) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ c0_1(a1038)
& ~ c1_1(a1038)
& ~ c2_1(a1038) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a1041)
& ~ c0_1(a1041)
& ~ c3_1(a1041) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a1043)
& ~ c1_1(a1043)
& ~ c2_1(a1043) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1044)
& c1_1(a1044)
& ~ c3_1(a1044) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1045)
& c3_1(a1045)
& ~ c0_1(a1045) ) )
& ( ~ hskp25
| ( ndr1_0
& c1_1(a1048)
& ~ c0_1(a1048)
& ~ c3_1(a1048) ) )
& ( ~ hskp26
| ( ndr1_0
& c3_1(a1052)
& ~ c0_1(a1052)
& ~ c2_1(a1052) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1029)
& c2_1(a1029)
& c3_1(a1029) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1033)
& c1_1(a1033)
& c2_1(a1033) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a1040)
& c1_1(a1040)
& c3_1(a1040) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| hskp0
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c3_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c2_1(X5)
| c3_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7)
| ~ ndr1_0 )
| ! [X8] :
( c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8)
| ~ ndr1_0 ) )
& ( ! [X9] :
( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| ! [X10] :
( c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X11] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15)
| ~ ndr1_0 ) )
& ( ! [X16] :
( c0_1(X16)
| c1_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| ! [X17] :
( ~ c0_1(X17)
| ~ c1_1(X17)
| ~ c2_1(X17)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| c3_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c1_1(X20)
| c2_1(X20)
| c3_1(X20)
| ~ ndr1_0 ) )
& ( ! [X21] :
( c0_1(X21)
| c2_1(X21)
| c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c0_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0 ) )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c0_1(X27)
| ~ c1_1(X27)
| ~ c2_1(X27)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c1_1(X34)
| ~ ndr1_0 )
| hskp9
| hskp10 )
& ( ! [X35] :
( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp8
| hskp7 )
& ( ! [X36] :
( c0_1(X36)
| c3_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X38] :
( c0_1(X38)
| c3_1(X38)
| ~ c1_1(X38)
| ~ ndr1_0 )
| ! [X39] :
( c1_1(X39)
| c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 ) )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c1_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| c3_1(X42)
| ~ c2_1(X42)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c1_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( ~ c0_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c1_1(X48)
| ~ ndr1_0 )
| hskp6
| hskp12 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| ! [X50] :
( c1_1(X50)
| ~ c0_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c2_1(X51)
| c3_1(X51)
| ~ c0_1(X51)
| ~ ndr1_0 ) )
& ( ! [X52] :
( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0 )
| ! [X53] :
( c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X54] :
( c0_1(X54)
| c3_1(X54)
| ~ c2_1(X54)
| ~ ndr1_0 )
| hskp2
| hskp1 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| c2_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X57] :
( c0_1(X57)
| ~ c1_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c1_1(X58)
| ~ c2_1(X58)
| ~ c3_1(X58)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X59] :
( c0_1(X59)
| ~ c1_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( c2_1(X60)
| ~ c0_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 ) )
& ( ! [X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X66] :
( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c2_1(X67)
| c3_1(X67)
| ~ c1_1(X67)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| c3_1(X68)
| ~ ndr1_0 )
| ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| ~ c0_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c2_1(X73)
| c3_1(X73)
| ~ c1_1(X73)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X74] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c2_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( c3_1(X77)
| ~ c0_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X78] :
( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp28
| hskp8 )
& ( ! [X79] :
( c1_1(X79)
| c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| hskp10
| hskp18 )
& ( ! [X80] :
( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X82] :
( c1_1(X82)
| c3_1(X82)
| ~ c0_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( c2_1(X83)
| c3_1(X83)
| ~ c0_1(X83)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X84] :
( c1_1(X84)
| c3_1(X84)
| ~ c0_1(X84)
| ~ ndr1_0 )
| ! [X85] :
( c3_1(X85)
| ~ c1_1(X85)
| ~ c2_1(X85)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X86] :
( c1_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| ~ ndr1_0 )
| hskp29
| hskp21 )
& ( ! [X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X89] :
( c1_1(X89)
| ~ c0_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( c2_1(X90)
| c3_1(X90)
| ~ c1_1(X90)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X91] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 ) )
& ( ! [X94] :
( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp23 )
& ( ! [X95] :
( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp24
| hskp15 )
& ( ! [X96] :
( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| ! [X97] :
( c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| ! [X98] :
( c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98)
| ~ ndr1_0 ) )
& ( ! [X99] :
( c2_1(X99)
| c3_1(X99)
| ~ c0_1(X99)
| ~ ndr1_0 )
| hskp3
| hskp25 )
& ( ! [X100] :
( c2_1(X100)
| c3_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| ! [X101] :
( c3_1(X101)
| ~ c0_1(X101)
| ~ c2_1(X101)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X102] :
( c2_1(X102)
| ~ c0_1(X102)
| ~ c1_1(X102)
| ~ ndr1_0 )
| ! [X103] :
( ~ c0_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X104] :
( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104)
| ~ ndr1_0 )
| hskp8
| hskp26 )
& ( ! [X105] :
( c2_1(X105)
| ~ c0_1(X105)
| ~ c1_1(X105)
| ~ ndr1_0 )
| hskp6
| hskp13 )
& ( ! [X106] :
( c2_1(X106)
| ~ c0_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 )
| hskp23
| hskp3 )
& ( ! [X107] :
( c2_1(X107)
| ~ c1_1(X107)
| ~ c3_1(X107)
| ~ ndr1_0 )
| hskp6
| hskp22 )
& ( ! [X108] :
( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108)
| ~ ndr1_0 )
| hskp4
| hskp19 )
& ( ! [X109] :
( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109)
| ~ ndr1_0 )
| ! [X110] :
( ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X111] :
( c3_1(X111)
| ~ c1_1(X111)
| ~ c2_1(X111)
| ~ ndr1_0 )
| hskp23
| hskp4 )
& ( ! [X112] :
( ~ c0_1(X112)
| ~ c1_1(X112)
| ~ c2_1(X112)
| ~ ndr1_0 )
| hskp9
| hskp12 )
& ( ! [X113] :
( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X114] :
( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| ~ ndr1_0 )
| hskp24
| hskp3 )
& ( ! [X115] :
( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115)
| ~ ndr1_0 )
| hskp26
| hskp19 )
& ( hskp29
| hskp23
| hskp13 )
& ( hskp29
| hskp12
| hskp5 )
& ( hskp29
| hskp3
| hskp26 )
& ( hskp23
| hskp18
| hskp20 )
& ( hskp27
| hskp6
| hskp14 )
& ( hskp27
| hskp7
| hskp26 )
& ( hskp22
| hskp14
| hskp12 )
& ( hskp4
| hskp21
| hskp7 )
& ( hskp24
| hskp25
| hskp19 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp24
| hskp25
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
( hskp27
| hskp7
| hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
( hskp29
| hskp3
| hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X115] :
( ~ c0_1(X115)
| ~ c2_1(X115)
| ~ c3_1(X115)
| ~ ndr1_0
| hskp26
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X114] :
( ~ c0_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| ~ ndr1_0
| hskp24
| hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X113] :
( ~ c0_1(X113)
| ~ c1_1(X113)
| ~ c2_1(X113)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X109,X110] :
( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109)
| ~ ndr1_0
| ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110)
| ~ ndr1_0
| hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X108] :
( c3_1(X108)
| ~ c0_1(X108)
| ~ c1_1(X108)
| ~ ndr1_0
| hskp4
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X104] :
( c2_1(X104)
| ~ c0_1(X104)
| ~ c1_1(X104)
| ~ ndr1_0
| hskp8
| hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X98,X96,X97] :
( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0
| c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0
| c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X95] :
( c1_1(X95)
| ~ c0_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0
| hskp24
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X94] :
( c1_1(X94)
| ~ c0_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0
| hskp23 ),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X91,X92,X93] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91)
| ~ ndr1_0
| c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0
| ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X88,X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0
| c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0
| hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X80,X81] :
( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80)
| ~ ndr1_0
| c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81)
| ~ ndr1_0
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X78] :
( c1_1(X78)
| c2_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0
| hskp28
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X65,X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0
| c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X62,X63,X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0
| c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0
| ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X52,X53] :
( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0
| c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0
| hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f57,plain,
! [X44,X45,X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0
| c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44)
| ~ ndr1_0
| c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f61,plain,
! [X35] :
( c0_1(X35)
| c2_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0
| hskp8
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X32,X33] :
( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32)
| ~ ndr1_0
| c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
! [X31,X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30)
| ~ ndr1_0
| c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0
| hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f65,plain,
! [X28,X29] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0
| c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X24,X25,X23] :
( c0_1(X23)
| c2_1(X23)
| c3_1(X23)
| ~ ndr1_0
| c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0
| c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f71,plain,
! [X14,X15,X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0
| c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14)
| ~ ndr1_0
| c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f72,plain,
! [X11,X12] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0
| c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| ~ ndr1_0
| hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
! [X10,X9] :
( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0
| c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10)
| ~ ndr1_0
| hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
! [X8,X6,X7] :
( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6)
| ~ ndr1_0
| c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7)
| ~ ndr1_0
| c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( ~ hskp29
| c3_1(a1040) ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ hskp29
| c1_1(a1040) ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ hskp29
| c0_1(a1040) ),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
( ~ hskp28
| c2_1(a1033) ),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
( ~ hskp28
| c1_1(a1033) ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( ~ hskp28
| c0_1(a1033) ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ hskp27
| c3_1(a1029) ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ hskp27
| c2_1(a1029) ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ hskp27
| c0_1(a1029) ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ hskp26
| ~ c2_1(a1052) ),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
( ~ hskp26
| ~ c0_1(a1052) ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( ~ hskp26
| c3_1(a1052) ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( ~ hskp25
| ~ c3_1(a1048) ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ hskp25
| ~ c0_1(a1048) ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( ~ hskp25
| c1_1(a1048) ),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
( ~ hskp25
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ hskp24
| ~ c0_1(a1045) ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ hskp24
| c3_1(a1045) ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ hskp24
| c1_1(a1045) ),
inference(cnf_transformation,[],[f5]) ).
fof(f101,plain,
( ~ hskp24
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ hskp23
| ~ c3_1(a1044) ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( ~ hskp23
| c1_1(a1044) ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( ~ hskp23
| c0_1(a1044) ),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
( ~ hskp19
| ~ c3_1(a1037) ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( ~ hskp19
| ~ c0_1(a1037) ),
inference(cnf_transformation,[],[f5]) ).
fof(f121,plain,
( ~ hskp19
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ hskp17
| c3_1(a1032) ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( ~ hskp17
| c2_1(a1032) ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ hskp15
| ~ c1_1(a1026) ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ hskp15
| ~ c0_1(a1026) ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( ~ hskp15
| c2_1(a1026) ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ hskp11
| ~ c1_1(a1015) ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ hskp11
| ~ c0_1(a1015) ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ hskp11
| c3_1(a1015) ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ hskp8
| ~ c1_1(a1010) ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ hskp8
| c3_1(a1010) ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ hskp8
| c0_1(a1010) ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ hskp7
| ~ c3_1(a1008) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ hskp7
| ~ c1_1(a1008) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( ~ hskp7
| c2_1(a1008) ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ hskp6
| ~ c2_1(a1006) ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ hskp6
| c3_1(a1006) ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ hskp6
| c0_1(a1006) ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ hskp4
| ~ c3_1(a1004) ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( ~ hskp4
| c2_1(a1004) ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( ~ hskp4
| c1_1(a1004) ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ hskp3
| ~ c2_1(a1003) ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ hskp3
| ~ c0_1(a1003) ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( ~ hskp3
| c1_1(a1003) ),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
! [X109,X110] :
( c3_1(X109)
| ~ c0_1(X109)
| ~ c2_1(X109)
| ~ ndr1_0
| ~ c0_1(X110)
| ~ c1_1(X110)
| ~ c2_1(X110)
| hskp17 ),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f201,plain,
! [X98,X96,X97] :
( c1_1(X96)
| ~ c2_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0
| c2_1(X97)
| ~ c0_1(X97)
| ~ c3_1(X97)
| c3_1(X98)
| ~ c1_1(X98)
| ~ c2_1(X98) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f202,plain,
! [X91,X92,X93] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c3_1(X91)
| ~ ndr1_0
| c2_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c1_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f204,plain,
! [X88,X87] :
( c1_1(X87)
| ~ c0_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0
| c1_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| hskp6 ),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f207,plain,
! [X80,X81] :
( c1_1(X80)
| c3_1(X80)
| ~ c0_1(X80)
| ~ ndr1_0
| c1_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81)
| hskp19 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f214,plain,
! [X65,X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0
| c1_1(X65)
| ~ c0_1(X65)
| ~ c3_1(X65)
| hskp15 ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f215,plain,
! [X62,X63,X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0
| c0_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ c1_1(X63)
| ~ c2_1(X63)
| ~ c3_1(X63) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f219,plain,
! [X52,X53] :
( c0_1(X52)
| c3_1(X52)
| ~ c2_1(X52)
| ~ ndr1_0
| c1_1(X53)
| ~ c0_1(X53)
| ~ c3_1(X53)
| hskp11 ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f222,plain,
! [X44,X45,X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c1_1(X43)
| ~ ndr1_0
| c1_1(X44)
| ~ c0_1(X44)
| ~ c3_1(X44)
| c3_1(X45)
| ~ c0_1(X45)
| ~ c2_1(X45) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f226,plain,
! [X32,X33] :
( c0_1(X32)
| c2_1(X32)
| ~ c1_1(X32)
| ~ ndr1_0
| c1_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| hskp8 ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f227,plain,
! [X31,X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c1_1(X30)
| ~ ndr1_0
| c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| hskp4 ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f228,plain,
! [X28,X29] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0
| c1_1(X29)
| c2_1(X29)
| ~ c3_1(X29)
| hskp7 ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f230,plain,
! [X24,X25,X23] :
( c0_1(X23)
| c2_1(X23)
| c3_1(X23)
| ~ ndr1_0
| c1_1(X24)
| c3_1(X24)
| ~ c2_1(X24)
| c2_1(X25)
| c3_1(X25)
| ~ c0_1(X25) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f234,plain,
! [X14,X15,X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0
| c0_1(X14)
| c2_1(X14)
| ~ c3_1(X14)
| c1_1(X15)
| c3_1(X15)
| ~ c2_1(X15) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f235,plain,
! [X11,X12] :
( c0_1(X11)
| c1_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0
| c2_1(X12)
| ~ c0_1(X12)
| ~ c3_1(X12)
| hskp4 ),
inference(duplicate_literal_removal,[],[f72]) ).
fof(f236,plain,
! [X10,X9] :
( c0_1(X9)
| c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0
| c2_1(X10)
| c3_1(X10)
| ~ c1_1(X10)
| hskp3 ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f237,plain,
! [X8,X6,X7] :
( c0_1(X6)
| c1_1(X6)
| ~ c2_1(X6)
| ~ ndr1_0
| c1_1(X7)
| ~ c0_1(X7)
| ~ c2_1(X7)
| c2_1(X8)
| ~ c0_1(X8)
| ~ c1_1(X8) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f241,definition,
( spl0_1
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f244,definition,
( spl0_2
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f247,definition,
( spl0_3
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f249,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f247,f244,f241]) ).
fof(f251,definition,
( spl0_4
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f257,definition,
( spl0_6
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,definition,
( spl0_10
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f274,definition,
( spl0_11
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f276,plain,
( spl0_10
| spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f9,f274,f251,f271]) ).
fof(f278,definition,
( spl0_12
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f288,definition,
( spl0_15
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f292,definition,
( spl0_16
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f295,definition,
( spl0_17
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f297,plain,
( spl0_10
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f12,f295,f292,f271]) ).
fof(f307,definition,
( spl0_20
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f310,definition,
( spl0_21
<=> ! [X115] :
( ~ c0_1(X115)
| ~ c3_1(X115)
| ~ c2_1(X115) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f311,plain,
( ! [X115] :
( ~ c3_1(X115)
| ~ c0_1(X115)
| ~ c2_1(X115) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( spl0_1
| spl0_10
| ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f15,f310,f307,f271,f241]) ).
fof(f313,plain,
( spl0_16
| spl0_3
| ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f310,f307,f247,f292]) ).
fof(f315,definition,
( spl0_22
<=> ! [X113] :
( ~ c0_1(X113)
| ~ c2_1(X113)
| ~ c1_1(X113) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f316,plain,
( ! [X113] :
( ~ c0_1(X113)
| ~ c2_1(X113)
| ~ c1_1(X113) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( spl0_4
| ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f17,f315,f307,f251]) ).
fof(f323,definition,
( spl0_24
<=> ! [X111] :
( c3_1(X111)
| ~ c2_1(X111)
| ~ c1_1(X111) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f324,plain,
( ! [X111] :
( c3_1(X111)
| ~ c2_1(X111)
| ~ c1_1(X111) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f327,definition,
( spl0_25
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f330,definition,
( spl0_26
<=> ! [X109] :
( c3_1(X109)
| ~ c2_1(X109)
| ~ c0_1(X109) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f331,plain,
( ! [X109] :
( c3_1(X109)
| ~ c2_1(X109)
| ~ c0_1(X109) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( spl0_25
| spl0_22
| ~ spl0_20
| spl0_26 ),
inference(avatar_split_clause,[],[f198,f330,f307,f315,f327]) ).
fof(f334,definition,
( spl0_27
<=> ! [X108] :
( c3_1(X108)
| ~ c1_1(X108)
| ~ c0_1(X108) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f335,plain,
( ! [X108] :
( c3_1(X108)
| ~ c1_1(X108)
| ~ c0_1(X108) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl0_1
| spl0_6
| ~ spl0_20
| spl0_27 ),
inference(avatar_split_clause,[],[f21,f334,f307,f257,f241]) ).
fof(f342,definition,
( spl0_29
<=> ! [X106] :
( c2_1(X106)
| ~ c3_1(X106)
| ~ c0_1(X106) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f343,plain,
( ! [X106] :
( ~ c3_1(X106)
| c2_1(X106)
| ~ c0_1(X106) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,definition,
( spl0_30
<=> ! [X105] :
( c2_1(X105)
| ~ c1_1(X105)
| ~ c0_1(X105) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f347,plain,
( ! [X105] :
( ~ c0_1(X105)
| ~ c1_1(X105)
| c2_1(X105) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl0_31
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f352,plain,
( spl0_10
| spl0_31
| ~ spl0_20
| spl0_30 ),
inference(avatar_split_clause,[],[f25,f346,f307,f350,f271]) ).
fof(f355,definition,
( spl0_32
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f358,definition,
( spl0_33
<=> ! [X100] :
( c2_1(X100)
| ~ c1_1(X100)
| c3_1(X100) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f359,plain,
( ! [X100] :
( c3_1(X100)
| ~ c1_1(X100)
| c2_1(X100) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f362,definition,
( spl0_34
<=> ! [X99] :
( c2_1(X99)
| ~ c0_1(X99)
| c3_1(X99) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f363,plain,
( ! [X99] :
( c3_1(X99)
| ~ c0_1(X99)
| c2_1(X99) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f366,definition,
( spl0_35
<=> ! [X96] :
( c1_1(X96)
| ~ c3_1(X96)
| ~ c2_1(X96) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f367,plain,
( ! [X96] :
( ~ c3_1(X96)
| c1_1(X96)
| ~ c2_1(X96) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( spl0_24
| spl0_29
| ~ spl0_20
| spl0_35 ),
inference(avatar_split_clause,[],[f201,f366,f307,f342,f323]) ).
fof(f370,definition,
( spl0_36
<=> ! [X95] :
( c1_1(X95)
| ~ c3_1(X95)
| ~ c0_1(X95) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f371,plain,
( ! [X95] :
( ~ c3_1(X95)
| c1_1(X95)
| ~ c0_1(X95) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f372,plain,
( spl0_32
| spl0_3
| ~ spl0_20
| spl0_36 ),
inference(avatar_split_clause,[],[f30,f370,f307,f247,f355]) ).
fof(f373,plain,
( spl0_15
| ~ spl0_20
| spl0_36 ),
inference(avatar_split_clause,[],[f31,f370,f307,f288]) ).
fof(f375,definition,
( spl0_37
<=> ! [X93] :
( ~ c1_1(X93)
| ~ c3_1(X93)
| ~ c2_1(X93) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f376,plain,
( ! [X93] :
( ~ c3_1(X93)
| ~ c1_1(X93)
| ~ c2_1(X93) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( spl0_37
| spl0_30
| ~ spl0_20
| spl0_36 ),
inference(avatar_split_clause,[],[f202,f370,f307,f346,f375]) ).
fof(f380,definition,
( spl0_38
<=> ! [X87] :
( c1_1(X87)
| ~ c2_1(X87)
| ~ c0_1(X87) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f381,plain,
( ! [X87] :
( ~ c0_1(X87)
| ~ c2_1(X87)
| c1_1(X87) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
( spl0_12
| spl0_35
| ~ spl0_20
| spl0_38 ),
inference(avatar_split_clause,[],[f204,f380,f307,f366,f278]) ).
fof(f384,definition,
( spl0_39
<=> ! [X86] :
( c1_1(X86)
| ~ c0_1(X86)
| c3_1(X86) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f385,plain,
( ! [X86] :
( c3_1(X86)
| ~ c0_1(X86)
| c1_1(X86) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f392,plain,
( spl0_1
| spl0_38
| ~ spl0_20
| spl0_39 ),
inference(avatar_split_clause,[],[f207,f384,f307,f380,f241]) ).
fof(f394,definition,
( spl0_41
<=> ! [X79] :
( c1_1(X79)
| ~ c3_1(X79)
| c2_1(X79) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f395,plain,
( ! [X79] :
( ~ c3_1(X79)
| c1_1(X79)
| c2_1(X79) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl0_42
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f400,plain,
( spl0_31
| spl0_42
| ~ spl0_20
| spl0_41 ),
inference(avatar_split_clause,[],[f40,f394,f307,f398,f350]) ).
fof(f413,definition,
( spl0_45
<=> ! [X66] :
( c0_1(X66)
| ~ c3_1(X66)
| ~ c2_1(X66) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f414,plain,
( ! [X66] :
( ~ c3_1(X66)
| c0_1(X66)
| ~ c2_1(X66) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f417,definition,
( spl0_46
<=> ! [X64] :
( c0_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f418,plain,
( ! [X64] :
( ~ c3_1(X64)
| c0_1(X64)
| ~ c1_1(X64) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( spl0_32
| spl0_36
| ~ spl0_20
| spl0_46 ),
inference(avatar_split_clause,[],[f214,f417,f307,f370,f355]) ).
fof(f420,plain,
( spl0_37
| spl0_45
| ~ spl0_20
| spl0_46 ),
inference(avatar_split_clause,[],[f215,f417,f307,f413,f375]) ).
fof(f434,definition,
( spl0_50
<=> ! [X54] :
( c0_1(X54)
| ~ c2_1(X54)
| c3_1(X54) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f435,plain,
( ! [X54] :
( c3_1(X54)
| ~ c2_1(X54)
| c0_1(X54) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f438,definition,
( spl0_51
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f440,plain,
( spl0_51
| spl0_36
| ~ spl0_20
| spl0_50 ),
inference(avatar_split_clause,[],[f219,f434,f307,f370,f438]) ).
fof(f443,definition,
( spl0_52
<=> ! [X48] :
( c0_1(X48)
| ~ c1_1(X48)
| c3_1(X48) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f444,plain,
( ! [X48] :
( c3_1(X48)
| ~ c1_1(X48)
| c0_1(X48) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f447,plain,
( spl0_26
| spl0_36
| ~ spl0_20
| spl0_52 ),
inference(avatar_split_clause,[],[f222,f443,f307,f370,f330]) ).
fof(f449,definition,
( spl0_53
<=> ! [X42] :
( c1_1(X42)
| ~ c2_1(X42)
| c3_1(X42) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f450,plain,
( ! [X42] :
( c3_1(X42)
| ~ c2_1(X42)
| c1_1(X42) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f455,definition,
( spl0_54
<=> ! [X35] :
( c0_1(X35)
| ~ c1_1(X35)
| c2_1(X35) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f456,plain,
( ! [X35] :
( c0_1(X35)
| ~ c1_1(X35)
| c2_1(X35) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( spl0_4
| spl0_31
| ~ spl0_20
| spl0_54 ),
inference(avatar_split_clause,[],[f61,f455,f307,f350,f251]) ).
fof(f459,plain,
( spl0_31
| spl0_53
| ~ spl0_20
| spl0_54 ),
inference(avatar_split_clause,[],[f226,f455,f307,f449,f350]) ).
fof(f460,plain,
( spl0_6
| spl0_39
| ~ spl0_20
| spl0_54 ),
inference(avatar_split_clause,[],[f227,f455,f307,f384,f257]) ).
fof(f461,plain,
( spl0_4
| spl0_41
| ~ spl0_20
| spl0_54 ),
inference(avatar_split_clause,[],[f228,f455,f307,f394,f251]) ).
fof(f467,definition,
( spl0_56
<=> ! [X23] :
( c0_1(X23)
| c3_1(X23)
| c2_1(X23) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f468,plain,
( ! [X23] :
( c3_1(X23)
| c0_1(X23)
| c2_1(X23) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( spl0_34
| spl0_53
| ~ spl0_20
| spl0_56 ),
inference(avatar_split_clause,[],[f230,f467,f307,f449,f362]) ).
fof(f473,definition,
( spl0_57
<=> ! [X16] :
( c0_1(X16)
| ~ c3_1(X16)
| c1_1(X16) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f474,plain,
( ! [X16] :
( ~ c3_1(X16)
| c0_1(X16)
| c1_1(X16) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl0_58
<=> ! [X14] :
( c0_1(X14)
| ~ c3_1(X14)
| c2_1(X14) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f478,plain,
( ! [X14] :
( ~ c3_1(X14)
| c0_1(X14)
| c2_1(X14) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( spl0_53
| spl0_58
| ~ spl0_20
| spl0_57 ),
inference(avatar_split_clause,[],[f234,f473,f307,f477,f449]) ).
fof(f481,definition,
( spl0_59
<=> ! [X11] :
( c0_1(X11)
| ~ c2_1(X11)
| c1_1(X11) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f482,plain,
( ! [X11] :
( c0_1(X11)
| ~ c2_1(X11)
| c1_1(X11) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( spl0_6
| spl0_29
| ~ spl0_20
| spl0_59 ),
inference(avatar_split_clause,[],[f235,f481,f307,f342,f257]) ).
fof(f484,plain,
( spl0_16
| spl0_33
| ~ spl0_20
| spl0_59 ),
inference(avatar_split_clause,[],[f236,f481,f307,f358,f292]) ).
fof(f485,plain,
( spl0_30
| spl0_38
| ~ spl0_20
| spl0_59 ),
inference(avatar_split_clause,[],[f237,f481,f307,f380,f346]) ).
fof(f496,definition,
( spl0_62
<=> c3_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f497,plain,
( c3_1(a1040)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( spl0_62
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f78,f295,f496]) ).
fof(f501,definition,
( spl0_63
<=> c1_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f503,plain,
( spl0_63
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f79,f295,f501]) ).
fof(f505,definition,
( spl0_64
<=> c0_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f506,plain,
( c0_1(a1040)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( spl0_64
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f80,f295,f505]) ).
fof(f511,definition,
( spl0_65
<=> c2_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f514,plain,
( spl0_65
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f82,f398,f511]) ).
fof(f516,definition,
( spl0_66
<=> c1_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f518,plain,
( spl0_66
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f83,f398,f516]) ).
fof(f520,definition,
( spl0_67
<=> c0_1(a1033) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f521,plain,
( c0_1(a1033)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f522,plain,
( spl0_67
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f84,f398,f520]) ).
fof(f525,definition,
( spl0_68
<=> c3_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f526,plain,
( c3_1(a1029)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f528,plain,
( spl0_68
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f86,f274,f525]) ).
fof(f530,definition,
( spl0_69
<=> c2_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f532,plain,
( spl0_69
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f87,f274,f530]) ).
fof(f534,definition,
( spl0_70
<=> c0_1(a1029) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f536,plain,
( spl0_70
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f88,f274,f534]) ).
fof(f539,definition,
( spl0_71
<=> c2_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f542,plain,
( ~ spl0_71
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f90,f271,f539]) ).
fof(f544,definition,
( spl0_72
<=> c0_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f545,plain,
( ~ c0_1(a1052)
| spl0_72 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ spl0_72
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f91,f271,f544]) ).
fof(f548,definition,
( spl0_73
<=> c3_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f549,plain,
( c3_1(a1052)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( spl0_73
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f92,f271,f548]) ).
fof(f553,definition,
( spl0_74
<=> c3_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f554,plain,
( ~ c3_1(a1048)
| spl0_74 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f556,plain,
( ~ spl0_74
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f94,f244,f553]) ).
fof(f558,definition,
( spl0_75
<=> c0_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f560,plain,
( ~ spl0_75
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f95,f244,f558]) ).
fof(f562,definition,
( spl0_76
<=> c1_1(a1048) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f564,plain,
( spl0_76
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f96,f244,f562]) ).
fof(f565,plain,
( spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f97,f244,f307]) ).
fof(f567,definition,
( spl0_77
<=> c0_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f568,plain,
( ~ c0_1(a1045)
| spl0_77 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f570,plain,
( ~ spl0_77
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f98,f247,f567]) ).
fof(f572,definition,
( spl0_78
<=> c3_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f573,plain,
( c3_1(a1045)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( spl0_78
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f99,f247,f572]) ).
fof(f576,definition,
( spl0_79
<=> c1_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f578,plain,
( spl0_79
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f100,f247,f576]) ).
fof(f579,plain,
( spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f101,f247,f307]) ).
fof(f581,definition,
( spl0_80
<=> c3_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f582,plain,
( ~ c3_1(a1044)
| spl0_80 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f584,plain,
( ~ spl0_80
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f102,f288,f581]) ).
fof(f586,definition,
( spl0_81
<=> c1_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f588,plain,
( spl0_81
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f103,f288,f586]) ).
fof(f590,definition,
( spl0_82
<=> c0_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f591,plain,
( c0_1(a1044)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f592,plain,
( spl0_82
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f104,f288,f590]) ).
fof(f637,definition,
( spl0_92
<=> c3_1(a1037) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f638,plain,
( ~ c3_1(a1037)
| spl0_92 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( ~ spl0_92
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f118,f241,f637]) ).
fof(f646,definition,
( spl0_94
<=> c0_1(a1037) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f648,plain,
( ~ spl0_94
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f120,f241,f646]) ).
fof(f649,plain,
( spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f121,f241,f307]) ).
fof(f670,definition,
( spl0_99
<=> c3_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f671,plain,
( c3_1(a1032)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f672,plain,
( spl0_99
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f127,f327,f670]) ).
fof(f674,definition,
( spl0_100
<=> c2_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f676,plain,
( spl0_100
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f128,f327,f674]) ).
fof(f693,definition,
( spl0_104
<=> c1_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f696,plain,
( ~ spl0_104
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f134,f355,f693]) ).
fof(f698,definition,
( spl0_105
<=> c0_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f699,plain,
( ~ c0_1(a1026)
| spl0_105 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( ~ spl0_105
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f135,f355,f698]) ).
fof(f702,definition,
( spl0_106
<=> c2_1(a1026) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f704,plain,
( spl0_106
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f136,f355,f702]) ).
fof(f749,definition,
( spl0_116
<=> c1_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f752,plain,
( ~ spl0_116
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f150,f438,f749]) ).
fof(f754,definition,
( spl0_117
<=> c0_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f756,plain,
( ~ spl0_117
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f151,f438,f754]) ).
fof(f758,definition,
( spl0_118
<=> c3_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f759,plain,
( c3_1(a1015)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
( spl0_118
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f152,f438,f758]) ).
fof(f791,definition,
( spl0_125
<=> c1_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f794,plain,
( ~ spl0_125
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f162,f350,f791]) ).
fof(f796,definition,
( spl0_126
<=> c3_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f797,plain,
( c3_1(a1010)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( spl0_126
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f163,f350,f796]) ).
fof(f800,definition,
( spl0_127
<=> c0_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f801,plain,
( c0_1(a1010)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
( spl0_127
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f164,f350,f800]) ).
fof(f805,definition,
( spl0_128
<=> c3_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f806,plain,
( ~ c3_1(a1008)
| spl0_128 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( ~ spl0_128
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f166,f251,f805]) ).
fof(f810,definition,
( spl0_129
<=> c1_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f812,plain,
( ~ spl0_129
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f167,f251,f810]) ).
fof(f814,definition,
( spl0_130
<=> c2_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f816,plain,
( spl0_130
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f168,f251,f814]) ).
fof(f819,definition,
( spl0_131
<=> c2_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f822,plain,
( ~ spl0_131
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f170,f278,f819]) ).
fof(f824,definition,
( spl0_132
<=> c3_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f825,plain,
( c3_1(a1006)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( spl0_132
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f171,f278,f824]) ).
fof(f828,definition,
( spl0_133
<=> c0_1(a1006) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f830,plain,
( spl0_133
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f172,f278,f828]) ).
fof(f847,definition,
( spl0_137
<=> c3_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f848,plain,
( ~ c3_1(a1004)
| spl0_137 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f850,plain,
( ~ spl0_137
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f178,f257,f847]) ).
fof(f852,definition,
( spl0_138
<=> c2_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f854,plain,
( spl0_138
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f179,f257,f852]) ).
fof(f856,definition,
( spl0_139
<=> c1_1(a1004) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f858,plain,
( spl0_139
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f180,f257,f856]) ).
fof(f861,definition,
( spl0_140
<=> c2_1(a1003) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f864,plain,
( ~ spl0_140
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f182,f292,f861]) ).
fof(f866,definition,
( spl0_141
<=> c0_1(a1003) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f867,plain,
( ~ c0_1(a1003)
| spl0_141 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f868,plain,
( ~ spl0_141
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f183,f292,f866]) ).
fof(f870,definition,
( spl0_142
<=> c1_1(a1003) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f872,plain,
( spl0_142
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f184,f292,f870]) ).
fof(f916,plain,
( ~ c0_1(a1040)
| ~ c2_1(a1040)
| ~ spl0_21
| ~ spl0_62 ),
inference(resolution,[],[f311,f497]) ).
fof(f917,plain,
( ~ c0_1(a1029)
| ~ c2_1(a1029)
| ~ spl0_21
| ~ spl0_68 ),
inference(resolution,[],[f311,f526]) ).
fof(f920,plain,
( ~ spl0_69
| ~ spl0_70
| ~ spl0_21
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f917,f525,f310,f534,f530]) ).
fof(f922,definition,
( spl0_152
<=> c2_1(a1040) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f925,plain,
( ~ spl0_152
| ~ spl0_64
| ~ spl0_21
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f916,f496,f310,f505,f922]) ).
fof(f959,plain,
( ~ c1_1(a1044)
| ~ c0_1(a1044)
| ~ spl0_27
| spl0_80 ),
inference(resolution,[],[f582,f335]) ).
fof(f963,definition,
( spl0_156
<=> c2_1(a1044) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f967,plain,
( ~ spl0_82
| ~ spl0_81
| ~ spl0_27
| spl0_80 ),
inference(avatar_split_clause,[],[f959,f581,f334,f586,f590]) ).
fof(f1030,definition,
( spl0_158
<=> c0_1(a1008) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1047,definition,
( spl0_159
<=> c1_1(a1052) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1059,plain,
( c1_1(a1010)
| ~ c0_1(a1010)
| ~ spl0_36
| ~ spl0_126 ),
inference(resolution,[],[f797,f371]) ).
fof(f1060,plain,
( c2_1(a1010)
| ~ c0_1(a1010)
| ~ spl0_29
| ~ spl0_126 ),
inference(resolution,[],[f797,f343]) ).
fof(f1063,definition,
( spl0_161
<=> c2_1(a1010) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1065,plain,
( ~ spl0_127
| spl0_161
| ~ spl0_29
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1060,f796,f342,f1063,f800]) ).
fof(f1067,plain,
( ~ spl0_127
| spl0_125
| ~ spl0_36
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1059,f796,f370,f791,f800]) ).
fof(f1085,plain,
( c0_1(a1045)
| ~ c2_1(a1045)
| ~ spl0_45
| ~ spl0_78 ),
inference(resolution,[],[f414,f573]) ).
fof(f1091,definition,
( spl0_162
<=> c2_1(a1045) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1094,plain,
( ~ spl0_162
| spl0_77
| ~ spl0_45
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1085,f572,f413,f567,f1091]) ).
fof(f1156,plain,
( ~ c2_1(a1033)
| ~ c1_1(a1033)
| ~ spl0_22
| ~ spl0_67 ),
inference(resolution,[],[f316,f521]) ).
fof(f1161,plain,
( ~ spl0_66
| ~ spl0_65
| ~ spl0_22
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f1156,f520,f315,f511,f516]) ).
fof(f1168,plain,
( c1_1(a1010)
| c2_1(a1010)
| ~ spl0_41
| ~ spl0_126 ),
inference(resolution,[],[f395,f797]) ).
fof(f1171,plain,
( c1_1(a1052)
| c2_1(a1052)
| ~ spl0_41
| ~ spl0_73 ),
inference(resolution,[],[f395,f549]) ).
fof(f1175,plain,
( spl0_161
| spl0_125
| ~ spl0_41
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1168,f796,f394,f791,f1063]) ).
fof(f1231,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_35
| ~ spl0_50 ),
inference(resolution,[],[f435,f367]) ).
fof(f1239,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl0_35
| ~ spl0_50 ),
inference(duplicate_literal_removal,[],[f1231]) ).
fof(f1254,plain,
( spl0_59
| ~ spl0_35
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1239,f434,f366,f481]) ).
fof(f1306,plain,
( ~ c2_1(a1008)
| c0_1(a1008)
| ~ spl0_50
| spl0_128 ),
inference(resolution,[],[f435,f806]) ).
fof(f1311,plain,
( spl0_158
| ~ spl0_130
| ~ spl0_50
| spl0_128 ),
inference(avatar_split_clause,[],[f1306,f805,f434,f814,f1030]) ).
fof(f1321,plain,
( ~ c1_1(a1048)
| c0_1(a1048)
| ~ spl0_52
| spl0_74 ),
inference(resolution,[],[f444,f554]) ).
fof(f1323,plain,
( spl0_75
| ~ spl0_76
| ~ spl0_52
| spl0_74 ),
inference(avatar_split_clause,[],[f1321,f553,f443,f562,f558]) ).
fof(f1334,plain,
( ~ c2_1(a1008)
| c1_1(a1008)
| ~ spl0_53
| spl0_128 ),
inference(resolution,[],[f450,f806]) ).
fof(f1340,plain,
( spl0_129
| ~ spl0_130
| ~ spl0_53
| spl0_128 ),
inference(avatar_split_clause,[],[f1334,f805,f449,f814,f810]) ).
fof(f1345,plain,
( ~ c1_1(a1003)
| c2_1(a1003)
| ~ spl0_54
| spl0_141 ),
inference(resolution,[],[f456,f867]) ).
fof(f1352,plain,
( ~ c1_1(a1045)
| c2_1(a1045)
| ~ spl0_54
| spl0_77 ),
inference(resolution,[],[f456,f568]) ).
fof(f1353,plain,
( ~ c1_1(a1052)
| c2_1(a1052)
| ~ spl0_54
| spl0_72 ),
inference(resolution,[],[f456,f545]) ).
fof(f1356,plain,
( spl0_71
| ~ spl0_159
| ~ spl0_54
| spl0_72 ),
inference(avatar_split_clause,[],[f1353,f544,f455,f1047,f539]) ).
fof(f1358,plain,
( spl0_162
| ~ spl0_79
| ~ spl0_54
| spl0_77 ),
inference(avatar_split_clause,[],[f1352,f567,f455,f576,f1091]) ).
fof(f1365,plain,
( spl0_140
| ~ spl0_142
| ~ spl0_54
| spl0_141 ),
inference(avatar_split_clause,[],[f1345,f866,f455,f870,f861]) ).
fof(f1369,plain,
( spl0_71
| spl0_159
| ~ spl0_41
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1171,f548,f394,f1047,f539]) ).
fof(f1376,plain,
( ~ c1_1(a1044)
| c2_1(a1044)
| ~ spl0_33
| spl0_80 ),
inference(resolution,[],[f582,f359]) ).
fof(f1378,plain,
( spl0_156
| ~ spl0_81
| ~ spl0_33
| spl0_80 ),
inference(avatar_split_clause,[],[f1376,f581,f358,f586,f963]) ).
fof(f1383,plain,
( ~ c2_1(a1037)
| c0_1(a1037)
| ~ spl0_50
| spl0_92 ),
inference(resolution,[],[f638,f435]) ).
fof(f1387,definition,
( spl0_167
<=> c2_1(a1037) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1399,definition,
( spl0_168
<=> c1_1(a1032) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1420,definition,
( spl0_170
<=> c2_1(a1015) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1439,plain,
( c2_1(a1006)
| ~ c0_1(a1006)
| ~ spl0_29
| ~ spl0_132 ),
inference(resolution,[],[f343,f825]) ).
fof(f1446,plain,
( c2_1(a1040)
| ~ c0_1(a1040)
| ~ spl0_29
| ~ spl0_62 ),
inference(resolution,[],[f343,f497]) ).
fof(f1449,plain,
( ~ spl0_64
| spl0_152
| ~ spl0_29
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1446,f496,f342,f922,f505]) ).
fof(f1450,plain,
( ~ spl0_133
| spl0_131
| ~ spl0_29
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1439,f824,f342,f819,f828]) ).
fof(f1467,plain,
( ~ c1_1(a1044)
| c2_1(a1044)
| ~ spl0_30
| ~ spl0_82 ),
inference(resolution,[],[f347,f591]) ).
fof(f1469,plain,
( ~ c1_1(a1040)
| c2_1(a1040)
| ~ spl0_30
| ~ spl0_64 ),
inference(resolution,[],[f347,f506]) ).
fof(f1471,plain,
( spl0_152
| ~ spl0_63
| ~ spl0_30
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1469,f505,f346,f501,f922]) ).
fof(f1472,plain,
( spl0_156
| ~ spl0_81
| ~ spl0_30
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1467,f590,f346,f586,f963]) ).
fof(f1481,plain,
( ~ c0_1(a1044)
| c2_1(a1044)
| ~ spl0_34
| spl0_80 ),
inference(resolution,[],[f363,f582]) ).
fof(f1485,plain,
( spl0_156
| ~ spl0_82
| ~ spl0_34
| spl0_80 ),
inference(avatar_split_clause,[],[f1481,f581,f362,f590,f963]) ).
fof(f1513,plain,
( c1_1(a1015)
| ~ c2_1(a1015)
| ~ spl0_35
| ~ spl0_118 ),
inference(resolution,[],[f367,f759]) ).
fof(f1514,plain,
( c1_1(a1032)
| ~ c2_1(a1032)
| ~ spl0_35
| ~ spl0_99 ),
inference(resolution,[],[f367,f671]) ).
fof(f1524,plain,
( ~ spl0_100
| spl0_168
| ~ spl0_35
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1514,f670,f366,f1399,f674]) ).
fof(f1526,plain,
( ~ spl0_170
| spl0_116
| ~ spl0_35
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1513,f758,f366,f749,f1420]) ).
fof(f1557,plain,
( c0_1(a1045)
| ~ c1_1(a1045)
| ~ spl0_46
| ~ spl0_78 ),
inference(resolution,[],[f418,f573]) ).
fof(f1565,plain,
( ~ spl0_79
| spl0_77
| ~ spl0_46
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1557,f572,f417,f567,f576]) ).
fof(f1595,plain,
( spl0_94
| ~ spl0_167
| ~ spl0_50
| spl0_92 ),
inference(avatar_split_clause,[],[f1383,f637,f434,f1387,f646]) ).
fof(f1622,plain,
( ~ c2_1(a1044)
| ~ c1_1(a1044)
| ~ spl0_22
| ~ spl0_82 ),
inference(resolution,[],[f316,f591]) ).
fof(f1627,plain,
( ~ spl0_81
| ~ spl0_156
| ~ spl0_22
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1622,f590,f315,f963,f586]) ).
fof(f1635,plain,
( ~ c2_1(a1004)
| ~ c1_1(a1004)
| ~ spl0_24
| spl0_137 ),
inference(resolution,[],[f324,f848]) ).
fof(f1640,plain,
( ~ c2_1(a1044)
| ~ c1_1(a1044)
| ~ spl0_24
| spl0_80 ),
inference(resolution,[],[f324,f582]) ).
fof(f1643,plain,
( ~ spl0_81
| ~ spl0_156
| ~ spl0_24
| spl0_80 ),
inference(avatar_split_clause,[],[f1640,f581,f323,f963,f586]) ).
fof(f1644,plain,
( ~ spl0_139
| ~ spl0_138
| ~ spl0_24
| spl0_137 ),
inference(avatar_split_clause,[],[f1635,f847,f323,f852,f856]) ).
fof(f1656,plain,
( ~ c2_1(a1008)
| ~ c0_1(a1008)
| ~ spl0_26
| spl0_128 ),
inference(resolution,[],[f331,f806]) ).
fof(f1661,plain,
( ~ c2_1(a1044)
| ~ c0_1(a1044)
| ~ spl0_26
| spl0_80 ),
inference(resolution,[],[f331,f582]) ).
fof(f1663,plain,
( ~ spl0_82
| ~ spl0_156
| ~ spl0_26
| spl0_80 ),
inference(avatar_split_clause,[],[f1661,f581,f330,f963,f590]) ).
fof(f1665,plain,
( ~ spl0_158
| ~ spl0_130
| ~ spl0_26
| spl0_128 ),
inference(avatar_split_clause,[],[f1656,f805,f330,f814,f1030]) ).
fof(f1674,plain,
( ~ c1_1(a1032)
| ~ c2_1(a1032)
| ~ spl0_37
| ~ spl0_99 ),
inference(resolution,[],[f376,f671]) ).
fof(f1676,plain,
( ~ c1_1(a1045)
| ~ c2_1(a1045)
| ~ spl0_37
| ~ spl0_78 ),
inference(resolution,[],[f376,f573]) ).
fof(f1681,plain,
( ~ spl0_162
| ~ spl0_79
| ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1676,f572,f375,f576,f1091]) ).
fof(f1682,plain,
( ~ spl0_100
| ~ spl0_168
| ~ spl0_37
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1674,f670,f375,f1399,f674]) ).
fof(f1685,plain,
( ~ c2_1(a1010)
| c1_1(a1010)
| ~ spl0_38
| ~ spl0_127 ),
inference(resolution,[],[f381,f801]) ).
fof(f1692,plain,
( spl0_125
| ~ spl0_161
| ~ spl0_38
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1685,f800,f380,f1063,f791]) ).
fof(f1697,plain,
( ~ c0_1(a1008)
| c1_1(a1008)
| ~ spl0_39
| spl0_128 ),
inference(resolution,[],[f385,f806]) ).
fof(f1707,plain,
( spl0_129
| ~ spl0_158
| ~ spl0_39
| spl0_128 ),
inference(avatar_split_clause,[],[f1697,f805,f384,f1030,f810]) ).
fof(f1747,plain,
( c0_1(a1037)
| c2_1(a1037)
| ~ spl0_56
| spl0_92 ),
inference(resolution,[],[f468,f638]) ).
fof(f1751,plain,
( spl0_167
| spl0_94
| ~ spl0_56
| spl0_92 ),
inference(avatar_split_clause,[],[f1747,f637,f467,f646,f1387]) ).
fof(f1767,plain,
( c0_1(a1015)
| c1_1(a1015)
| ~ spl0_57
| ~ spl0_118 ),
inference(resolution,[],[f474,f759]) ).
fof(f1771,plain,
( c0_1(a1052)
| c1_1(a1052)
| ~ spl0_57
| ~ spl0_73 ),
inference(resolution,[],[f474,f549]) ).
fof(f1776,plain,
( spl0_159
| spl0_72
| ~ spl0_57
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1771,f548,f473,f544,f1047]) ).
fof(f1778,plain,
( spl0_116
| spl0_117
| ~ spl0_57
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1767,f758,f473,f754,f749]) ).
fof(f1790,plain,
( c0_1(a1015)
| c2_1(a1015)
| ~ spl0_58
| ~ spl0_118 ),
inference(resolution,[],[f478,f759]) ).
fof(f1793,plain,
( c0_1(a1045)
| c2_1(a1045)
| ~ spl0_58
| ~ spl0_78 ),
inference(resolution,[],[f478,f573]) ).
fof(f1794,plain,
( c0_1(a1052)
| c2_1(a1052)
| ~ spl0_58
| ~ spl0_73 ),
inference(resolution,[],[f478,f549]) ).
fof(f1798,plain,
( spl0_71
| spl0_72
| ~ spl0_58
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1794,f548,f477,f544,f539]) ).
fof(f1799,plain,
( spl0_162
| spl0_77
| ~ spl0_58
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1793,f572,f477,f567,f1091]) ).
fof(f1801,plain,
( spl0_170
| spl0_117
| ~ spl0_58
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1790,f758,f477,f754,f1420]) ).
fof(f1811,plain,
( ~ c2_1(a1026)
| c1_1(a1026)
| ~ spl0_59
| spl0_105 ),
inference(resolution,[],[f482,f699]) ).
fof(f1824,plain,
( spl0_104
| ~ spl0_106
| ~ spl0_59
| spl0_105 ),
inference(avatar_split_clause,[],[f1811,f698,f481,f702,f693]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f249]) ).
cnf(s4,plain,
( spl0_4
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f276]) ).
cnf(s7,plain,
( spl0_10
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f297]) ).
cnf(s10,plain,
( spl0_1
| spl0_10
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f312]) ).
cnf(s11,plain,
( spl0_3
| spl0_16
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f313]) ).
cnf(s12,plain,
( spl0_4
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f317]) ).
cnf(s15,plain,
( ~ spl0_20
| spl0_22
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f332]) ).
cnf(s16,plain,
( spl0_1
| spl0_6
| ~ spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f336]) ).
cnf(s20,plain,
( spl0_10
| ~ spl0_20
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f352]) ).
cnf(s24,plain,
( ~ spl0_20
| spl0_24
| spl0_29
| spl0_35 ),
inference(sat_conversion,[],[f368]) ).
cnf(s25,plain,
( spl0_3
| ~ spl0_20
| spl0_32
| spl0_36 ),
inference(sat_conversion,[],[f372]) ).
cnf(s26,plain,
( spl0_15
| ~ spl0_20
| spl0_36 ),
inference(sat_conversion,[],[f373]) ).
cnf(s27,plain,
( ~ spl0_20
| spl0_30
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f377]) ).
cnf(s29,plain,
( spl0_12
| ~ spl0_20
| spl0_35
| spl0_38 ),
inference(sat_conversion,[],[f382]) ).
cnf(s33,plain,
( spl0_1
| ~ spl0_20
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f392]) ).
cnf(s35,plain,
( ~ spl0_20
| spl0_31
| spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f400]) ).
cnf(s42,plain,
( ~ spl0_20
| spl0_32
| spl0_36
| spl0_46 ),
inference(sat_conversion,[],[f419]) ).
cnf(s43,plain,
( ~ spl0_20
| spl0_37
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f420]) ).
cnf(s48,plain,
( ~ spl0_20
| spl0_36
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f440]) ).
cnf(s52,plain,
( ~ spl0_20
| spl0_26
| spl0_36
| spl0_52 ),
inference(sat_conversion,[],[f447]) ).
cnf(s56,plain,
( spl0_4
| ~ spl0_20
| spl0_31
| spl0_54 ),
inference(sat_conversion,[],[f457]) ).
cnf(s58,plain,
( ~ spl0_20
| spl0_31
| spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f459]) ).
cnf(s59,plain,
( spl0_6
| ~ spl0_20
| spl0_39
| spl0_54 ),
inference(sat_conversion,[],[f460]) ).
cnf(s60,plain,
( spl0_4
| ~ spl0_20
| spl0_41
| spl0_54 ),
inference(sat_conversion,[],[f461]) ).
cnf(s62,plain,
( ~ spl0_20
| spl0_34
| spl0_53
| spl0_56 ),
inference(sat_conversion,[],[f469]) ).
cnf(s66,plain,
( ~ spl0_20
| spl0_53
| spl0_57
| spl0_58 ),
inference(sat_conversion,[],[f479]) ).
cnf(s67,plain,
( spl0_6
| ~ spl0_20
| spl0_29
| spl0_59 ),
inference(sat_conversion,[],[f483]) ).
cnf(s68,plain,
( spl0_16
| ~ spl0_20
| spl0_33
| spl0_59 ),
inference(sat_conversion,[],[f484]) ).
cnf(s69,plain,
( ~ spl0_20
| spl0_30
| spl0_38
| spl0_59 ),
inference(sat_conversion,[],[f485]) ).
cnf(s73,plain,
( ~ spl0_17
| spl0_62 ),
inference(sat_conversion,[],[f499]) ).
cnf(s74,plain,
( ~ spl0_17
| spl0_63 ),
inference(sat_conversion,[],[f503]) ).
cnf(s75,plain,
( ~ spl0_17
| spl0_64 ),
inference(sat_conversion,[],[f507]) ).
cnf(s77,plain,
( ~ spl0_42
| spl0_65 ),
inference(sat_conversion,[],[f514]) ).
cnf(s78,plain,
( ~ spl0_42
| spl0_66 ),
inference(sat_conversion,[],[f518]) ).
cnf(s79,plain,
( ~ spl0_42
| spl0_67 ),
inference(sat_conversion,[],[f522]) ).
cnf(s81,plain,
( ~ spl0_11
| spl0_68 ),
inference(sat_conversion,[],[f528]) ).
cnf(s82,plain,
( ~ spl0_11
| spl0_69 ),
inference(sat_conversion,[],[f532]) ).
cnf(s83,plain,
( ~ spl0_11
| spl0_70 ),
inference(sat_conversion,[],[f536]) ).
cnf(s85,plain,
( ~ spl0_10
| ~ spl0_71 ),
inference(sat_conversion,[],[f542]) ).
cnf(s86,plain,
( ~ spl0_10
| ~ spl0_72 ),
inference(sat_conversion,[],[f546]) ).
cnf(s87,plain,
( ~ spl0_10
| spl0_73 ),
inference(sat_conversion,[],[f550]) ).
cnf(s89,plain,
( ~ spl0_2
| ~ spl0_74 ),
inference(sat_conversion,[],[f556]) ).
cnf(s90,plain,
( ~ spl0_2
| ~ spl0_75 ),
inference(sat_conversion,[],[f560]) ).
cnf(s91,plain,
( ~ spl0_2
| spl0_76 ),
inference(sat_conversion,[],[f564]) ).
cnf(s92,plain,
( ~ spl0_2
| spl0_20 ),
inference(sat_conversion,[],[f565]) ).
cnf(s93,plain,
( ~ spl0_3
| ~ spl0_77 ),
inference(sat_conversion,[],[f570]) ).
cnf(s94,plain,
( ~ spl0_3
| spl0_78 ),
inference(sat_conversion,[],[f574]) ).
cnf(s95,plain,
( ~ spl0_3
| spl0_79 ),
inference(sat_conversion,[],[f578]) ).
cnf(s96,plain,
( ~ spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f579]) ).
cnf(s97,plain,
( ~ spl0_15
| ~ spl0_80 ),
inference(sat_conversion,[],[f584]) ).
cnf(s98,plain,
( ~ spl0_15
| spl0_81 ),
inference(sat_conversion,[],[f588]) ).
cnf(s99,plain,
( ~ spl0_15
| spl0_82 ),
inference(sat_conversion,[],[f592]) ).
cnf(s113,plain,
( ~ spl0_1
| ~ spl0_92 ),
inference(sat_conversion,[],[f640]) ).
cnf(s115,plain,
( ~ spl0_1
| ~ spl0_94 ),
inference(sat_conversion,[],[f648]) ).
cnf(s116,plain,
( ~ spl0_1
| spl0_20 ),
inference(sat_conversion,[],[f649]) ).
cnf(s122,plain,
( ~ spl0_25
| spl0_99 ),
inference(sat_conversion,[],[f672]) ).
cnf(s123,plain,
( ~ spl0_25
| spl0_100 ),
inference(sat_conversion,[],[f676]) ).
cnf(s129,plain,
( ~ spl0_32
| ~ spl0_104 ),
inference(sat_conversion,[],[f696]) ).
cnf(s130,plain,
( ~ spl0_32
| ~ spl0_105 ),
inference(sat_conversion,[],[f700]) ).
cnf(s131,plain,
( ~ spl0_32
| spl0_106 ),
inference(sat_conversion,[],[f704]) ).
cnf(s145,plain,
( ~ spl0_51
| ~ spl0_116 ),
inference(sat_conversion,[],[f752]) ).
cnf(s146,plain,
( ~ spl0_51
| ~ spl0_117 ),
inference(sat_conversion,[],[f756]) ).
cnf(s147,plain,
( ~ spl0_51
| spl0_118 ),
inference(sat_conversion,[],[f760]) ).
cnf(s157,plain,
( ~ spl0_31
| ~ spl0_125 ),
inference(sat_conversion,[],[f794]) ).
cnf(s158,plain,
( ~ spl0_31
| spl0_126 ),
inference(sat_conversion,[],[f798]) ).
cnf(s159,plain,
( ~ spl0_31
| spl0_127 ),
inference(sat_conversion,[],[f802]) ).
cnf(s161,plain,
( ~ spl0_4
| ~ spl0_128 ),
inference(sat_conversion,[],[f808]) ).
cnf(s162,plain,
( ~ spl0_4
| ~ spl0_129 ),
inference(sat_conversion,[],[f812]) ).
cnf(s163,plain,
( ~ spl0_4
| spl0_130 ),
inference(sat_conversion,[],[f816]) ).
cnf(s165,plain,
( ~ spl0_12
| ~ spl0_131 ),
inference(sat_conversion,[],[f822]) ).
cnf(s166,plain,
( ~ spl0_12
| spl0_132 ),
inference(sat_conversion,[],[f826]) ).
cnf(s167,plain,
( ~ spl0_12
| spl0_133 ),
inference(sat_conversion,[],[f830]) ).
cnf(s173,plain,
( ~ spl0_6
| ~ spl0_137 ),
inference(sat_conversion,[],[f850]) ).
cnf(s174,plain,
( ~ spl0_6
| spl0_138 ),
inference(sat_conversion,[],[f854]) ).
cnf(s175,plain,
( ~ spl0_6
| spl0_139 ),
inference(sat_conversion,[],[f858]) ).
cnf(s177,plain,
( ~ spl0_16
| ~ spl0_140 ),
inference(sat_conversion,[],[f864]) ).
cnf(s178,plain,
( ~ spl0_16
| ~ spl0_141 ),
inference(sat_conversion,[],[f868]) ).
cnf(s179,plain,
( ~ spl0_16
| spl0_142 ),
inference(sat_conversion,[],[f872]) ).
cnf(s193,plain,
( ~ spl0_21
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(sat_conversion,[],[f920]) ).
cnf(s194,plain,
( ~ spl0_21
| ~ spl0_62
| ~ spl0_64
| ~ spl0_152 ),
inference(sat_conversion,[],[f925]) ).
cnf(s202,plain,
( ~ spl0_27
| spl0_80
| ~ spl0_81
| ~ spl0_82 ),
inference(sat_conversion,[],[f967]) ).
cnf(s223,plain,
( ~ spl0_29
| ~ spl0_126
| ~ spl0_127
| spl0_161 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s224,plain,
( ~ spl0_36
| spl0_125
| ~ spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s225,plain,
( ~ spl0_45
| spl0_77
| ~ spl0_78
| ~ spl0_162 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s241,plain,
( ~ spl0_22
| ~ spl0_65
| ~ spl0_66
| ~ spl0_67 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s243,plain,
( ~ spl0_41
| spl0_125
| ~ spl0_126
| spl0_161 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s262,plain,
( ~ spl0_35
| ~ spl0_50
| spl0_59 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s284,plain,
( ~ spl0_50
| spl0_128
| ~ spl0_130
| spl0_158 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s288,plain,
( ~ spl0_52
| spl0_74
| spl0_75
| ~ spl0_76 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s292,plain,
( ~ spl0_53
| spl0_128
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1340]) ).
cnf(s295,plain,
( ~ spl0_54
| spl0_71
| spl0_72
| ~ spl0_159 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s296,plain,
( ~ spl0_54
| spl0_77
| ~ spl0_79
| spl0_162 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s300,plain,
( ~ spl0_54
| spl0_140
| spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s304,plain,
( ~ spl0_41
| spl0_71
| ~ spl0_73
| spl0_159 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s309,plain,
( ~ spl0_33
| spl0_80
| ~ spl0_81
| spl0_156 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s325,plain,
( ~ spl0_29
| ~ spl0_62
| ~ spl0_64
| spl0_152 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s326,plain,
( ~ spl0_29
| spl0_131
| ~ spl0_132
| ~ spl0_133 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s336,plain,
( ~ spl0_30
| ~ spl0_63
| ~ spl0_64
| spl0_152 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s337,plain,
( ~ spl0_30
| ~ spl0_81
| ~ spl0_82
| spl0_156 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s339,plain,
( ~ spl0_34
| spl0_80
| ~ spl0_82
| spl0_156 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s352,plain,
( ~ spl0_35
| ~ spl0_99
| ~ spl0_100
| spl0_168 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s353,plain,
( ~ spl0_35
| spl0_116
| ~ spl0_118
| ~ spl0_170 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s361,plain,
( ~ spl0_46
| spl0_77
| ~ spl0_78
| ~ spl0_79 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s387,plain,
( ~ spl0_50
| spl0_92
| spl0_94
| ~ spl0_167 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s407,plain,
( ~ spl0_22
| ~ spl0_81
| ~ spl0_82
| ~ spl0_156 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s410,plain,
( ~ spl0_24
| spl0_80
| ~ spl0_81
| ~ spl0_156 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s411,plain,
( ~ spl0_24
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s419,plain,
( ~ spl0_26
| spl0_80
| ~ spl0_82
| ~ spl0_156 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s421,plain,
( ~ spl0_26
| spl0_128
| ~ spl0_130
| ~ spl0_158 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s423,plain,
( ~ spl0_37
| ~ spl0_78
| ~ spl0_79
| ~ spl0_162 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s424,plain,
( ~ spl0_37
| ~ spl0_99
| ~ spl0_100
| ~ spl0_168 ),
inference(sat_conversion,[],[f1682]) ).
cnf(s425,plain,
( ~ spl0_38
| spl0_125
| ~ spl0_127
| ~ spl0_161 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s429,plain,
( ~ spl0_39
| spl0_128
| spl0_129
| ~ spl0_158 ),
inference(sat_conversion,[],[f1707]) ).
cnf(s438,plain,
( ~ spl0_56
| spl0_92
| spl0_94
| spl0_167 ),
inference(sat_conversion,[],[f1751]) ).
cnf(s442,plain,
( ~ spl0_57
| spl0_72
| ~ spl0_73
| spl0_159 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s444,plain,
( ~ spl0_57
| spl0_116
| spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s448,plain,
( ~ spl0_58
| spl0_71
| spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s449,plain,
( ~ spl0_58
| spl0_77
| ~ spl0_78
| spl0_162 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s451,plain,
( ~ spl0_58
| spl0_117
| ~ spl0_118
| spl0_170 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s458,plain,
( ~ spl0_59
| spl0_104
| spl0_105
| ~ spl0_106 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s461,plain,
( spl0_10
| spl0_4
| ~ spl0_20
| spl0_1 ),
inference(rat,[],[s193,s81,s82,s83,s10,s4]) ).
cnf(s467,plain,
( ~ spl0_162
| ~ spl0_3 ),
inference(rat,[],[s43,s225,s423,s96,s361,s93,s94,s95]) ).
cnf(s468,plain,
( spl0_4
| ~ spl0_3 ),
inference(rat,[],[s69,s337,s407,s458,s98,s99,s129,s130,s131,s26,s42,s425,s224,s243,s157,s158,s159,s56,s60,s12,s96,s361,s94,s296,s467,s95,s93]) ).
cnf(s469,plain,
( ~ spl0_51
| ~ spl0_57 ),
inference(rat,[],[s444,s145,s146,s147]) ).
cnf(s470,plain,
( ~ spl0_3
| spl0_1 ),
inference(rat,[],[s425,s223,s33,s24,s429,s262,s284,s48,s469,s411,s173,s174,s175,s16,s202,s458,s97,s98,s99,s129,s130,s131,s26,s42,s224,s157,s158,s159,s58,s66,s292,s161,s162,s163,s449,s468,s296,s467,s361,s93,s94,s95,s96]) ).
cnf(s471,plain,
( ~ spl0_127
| ~ spl0_126
| spl0_125
| spl0_4
| spl0_1 ),
inference(rat,[],[s60,s300,s243,s177,s178,s179,s425,s68,s69,s309,s337,s458,s419,s129,s130,s131,s97,s98,s99,s52,s25,s26,s224,s92,s288,s89,s90,s91,s1,s470]) ).
cnf(s472,plain,
( ~ spl0_42
| ~ spl0_22 ),
inference(rat,[],[s241,s77,s78,s79]) ).
cnf(s473,plain,
( ~ spl0_31
| spl0_125
| spl0_4
| spl0_1 ),
inference(rat,[],[s471,s158,s159]) ).
cnf(s474,plain,
( spl0_31
| spl0_71
| spl0_72
| ~ spl0_73
| spl0_4
| ~ spl0_20 ),
inference(rat,[],[s304,s295,s35,s56,s472,s12]) ).
cnf(s475,plain,
( spl0_4
| spl0_1
| ~ spl0_20 ),
inference(rat,[],[s473,s157,s474,s85,s86,s87,s461]) ).
cnf(s476,plain,
( ~ spl0_31
| spl0_1 ),
inference(rat,[],[s353,s451,s24,s66,s223,s411,s469,s145,s146,s147,s425,s173,s174,s175,s48,s69,s16,s284,s337,s458,s202,s421,s419,s129,s130,s131,s97,s98,s99,s52,s25,s26,s224,s157,s158,s159,s288,s89,s90,s91,s292,s161,s162,s163,s475,s92,s1,s470]) ).
cnf(s477,plain,
( ~ spl0_16
| ~ spl0_54 ),
inference(rat,[],[s300,s177,s178,s179]) ).
cnf(s482,plain,
( ~ spl0_10
| spl0_1 ),
inference(rat,[],[s66,s442,s448,s295,s85,s86,s87,s58,s476,s292,s161,s162,s163,s475,s92,s1,s470]) ).
cnf(s483,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s194,s336,s73,s74,s75,s7,s20,s482,s11,s477,s58,s476,s292,s161,s162,s163,s475,s92,s1]) ).
cnf(s484,plain,
spl0_1,
inference(rat,[],[s483,s470]) ).
cnf(s485,plain,
spl0_20,
inference(rat,[],[s116,s484]) ).
cnf(s486,plain,
~ spl0_94,
inference(rat,[],[s115,s484]) ).
cnf(s488,plain,
~ spl0_92,
inference(rat,[],[s113,s484]) ).
cnf(s489,plain,
( ~ spl0_10
| ~ spl0_54
| spl0_53 ),
inference(rat,[],[s66,s442,s448,s295,s85,s86,s87,s485]) ).
cnf(s490,plain,
( spl0_53
| spl0_3
| spl0_31 ),
inference(rat,[],[s194,s336,s73,s74,s75,s7,s20,s489,s11,s477,s58,s485]) ).
cnf(s491,plain,
( ~ spl0_4
| ~ spl0_53 ),
inference(rat,[],[s292,s161,s162,s163]) ).
cnf(s492,plain,
( ~ spl0_10
| spl0_4
| spl0_31 ),
inference(rat,[],[s474,s85,s86,s87,s485]) ).
cnf(s493,plain,
( spl0_3
| spl0_31 ),
inference(rat,[],[s193,s81,s82,s83,s4,s492,s11,s477,s56,s491,s490,s485]) ).
cnf(s494,plain,
spl0_31,
inference(rat,[],[s58,s491,s296,s468,s467,s93,s95,s493,s485]) ).
cnf(s495,plain,
spl0_127,
inference(rat,[],[s159,s494]) ).
cnf(s496,plain,
spl0_126,
inference(rat,[],[s158,s494]) ).
cnf(s497,plain,
~ spl0_125,
inference(rat,[],[s157,s494]) ).
cnf(s498,plain,
~ spl0_36,
inference(rat,[],[s224,s496,s497,s495]) ).
cnf(s499,plain,
spl0_15,
inference(rat,[],[s26,s485,s498]) ).
cnf(s500,plain,
spl0_82,
inference(rat,[],[s99,s499]) ).
cnf(s501,plain,
spl0_81,
inference(rat,[],[s98,s499]) ).
cnf(s502,plain,
~ spl0_80,
inference(rat,[],[s97,s499]) ).
cnf(s504,plain,
( ~ spl0_54
| spl0_3
| spl0_53 ),
inference(rat,[],[s352,s424,s24,s27,s122,s123,s325,s336,s15,s194,s419,s410,s407,s73,s74,s75,s309,s7,s68,s11,s489,s477,s458,s129,s130,s131,s25,s485,s498,s500,s502,s501]) ).
cnf(s505,plain,
( spl0_24
| spl0_35 ),
inference(rat,[],[s326,s165,s166,s167,s29,s425,s223,s24,s496,s497,s495,s485]) ).
cnf(s506,plain,
( ~ spl0_50
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s505,s411,s173,s174,s175,s59,s429,s262,s284,s163,s162,s161,s458,s129,s130,s131,s25,s504,s491,s485,s498]) ).
cnf(s507,plain,
( spl0_3
| ~ spl0_4 ),
inference(rat,[],[s411,s173,s174,s175,s67,s223,s425,s69,s337,s410,s505,s353,s451,s66,s469,s145,s146,s147,s48,s506,s458,s129,s130,s131,s25,s491,s485,s496,s495,s497,s500,s501,s502,s498]) ).
cnf(s508,plain,
~ spl0_4,
inference(rat,[],[s339,s62,s410,s438,s505,s387,s262,s48,s458,s469,s129,s130,s131,s66,s42,s449,s361,s467,s93,s94,s95,s507,s491,s500,s502,s485,s501,s486,s488,s498]) ).
cnf(s509,plain,
spl0_22,
inference(rat,[],[s12,s485,s508]) ).
cnf(s510,plain,
~ spl0_3,
inference(rat,[],[s468,s508]) ).
cnf(s512,plain,
~ spl0_156,
inference(rat,[],[s407,s500,s501,s509]) ).
cnf(s513,plain,
spl0_32,
inference(rat,[],[s25,s498,s485,s510]) ).
cnf(s514,plain,
~ spl0_30,
inference(rat,[],[s337,s501,s500,s512]) ).
cnf(s516,plain,
~ spl0_33,
inference(rat,[],[s309,s502,s501,s512]) ).
cnf(s517,plain,
spl0_106,
inference(rat,[],[s131,s513]) ).
cnf(s518,plain,
~ spl0_105,
inference(rat,[],[s130,s513]) ).
cnf(s519,plain,
~ spl0_104,
inference(rat,[],[s129,s513]) ).
cnf(s522,plain,
~ spl0_59,
inference(rat,[],[s458,s517,s518,s519]) ).
cnf(s526,plain,
spl0_38,
inference(rat,[],[s69,s514,s485,s522]) ).
cnf(s527,plain,
spl0_16,
inference(rat,[],[s68,s516,s485,s522]) ).
cnf(s528,plain,
~ spl0_161,
inference(rat,[],[s425,s497,s495,s526]) ).
cnf(s532,plain,
~ spl0_54,
inference(rat,[],[s477,s527]) ).
cnf(s533,plain,
~ spl0_41,
inference(rat,[],[s243,s496,s497,s528]) ).
cnf(s535,plain,
$false,
inference(rat,[],[s60,s508,s485,s532,s533]) ).
fof(f1827,plain,
$false,
inference(avatar_sat_refutation,[],[s535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN475+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n003.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:12:58 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.91/1.12 % (1726462)Detected formulas, will run a generic FOF schedule.
% 2.91/1.12 % (1726472)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2404557894:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.91/1.12 % (1726474)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=357716331:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.91/1.12 % (1726471)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3192302443:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.91/1.12 % (1726473)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=777798603:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.91/1.12 % (1726475)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=711074698:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.91/1.12 % (1726476)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4259075917:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.91/1.12 % (1726477)dis-21_1_sil=8000:lcm=predicate:random_seed=818015516:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.91/1.12 % (1726477)First to succeed.
% 2.91/1.12 % (1726477)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1726462"
% 2.91/1.12 % (1726476)Also succeeded, but the first one will report.
% 2.91/1.12 % (1726474)Instruction limit reached!
% 2.91/1.12 % (1726474)------------------------------
% 2.91/1.12 % (1726474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.12 % (1726474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.12 % (1726474)CaDiCaL version: 2.1.3
% 2.91/1.12 % (1726474)Termination reason: Instruction limit
% 2.91/1.12 % (1726474)Termination phase: Saturation
% 2.91/1.12 % (1726474)Time elapsed: 0.072 s
% 2.91/1.12 % (1726474)Peak memory usage: 90 MB
% 2.91/1.12 % (1726474)Instructions burned: 110 (million)
% 2.91/1.12 % (1726475)Instruction limit reached!
% 2.91/1.12 % (1726475)------------------------------
% 2.91/1.12 % (1726475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.12 % (1726475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.12 % (1726475)CaDiCaL version: 2.1.3
% 2.91/1.12 % (1726475)Termination reason: Instruction limit
% 2.91/1.12 % (1726475)Termination phase: Saturation
% 2.91/1.12 % (1726475)Time elapsed: 0.059 s
% 2.91/1.12 % (1726475)Peak memory usage: 88 MB
% 2.91/1.12 % (1726475)Instructions burned: 120 (million)
% 2.91/1.12 % (1726485)lrs+10_1_sil=8000:sp=occurrence:random_seed=2242999298:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.91/1.12 % (1726486)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3859361868:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.91/1.12 % (1726485)Also succeeded, but the first one will report.
% 2.91/1.12 % (1726486)Also succeeded, but the first one will report.
% 2.91/1.12 % (1726477)Refutation found. Thanks to Tanya!
% 2.91/1.12 % SZS status Theorem for theBenchmark
% 2.91/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.22 % (1726477)------------------------------
% 3.70/1.22 % (1726477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.22 % (1726477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.22 % (1726477)CaDiCaL version: 2.1.3
% 3.70/1.22 % (1726477)Termination reason: Refutation
% 3.70/1.22 % (1726477)Time elapsed: 0.028 s
% 3.70/1.22 % (1726477)Peak memory usage: 90 MB
% 3.70/1.22 % (1726477)Instructions burned: 46 (million)
% 3.70/1.22 % (1726477)------------------------------
% 3.70/1.22 % (1726477)------------------------------
% 3.70/1.22 % (1726462)Success in time 0.446 s
% 3.70/1.22 % Vampire exiting
%------------------------------------------------------------------------------