%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN506+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:59:39 PM UTC 2026
% Result : Theorem 0.85s 0.95s
% Output : Refutation 2.69s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a322)
& c3_1(a322)
& ~ c0_1(a322) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c1_1(a323)
& ~ c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a324)
& ~ c1_1(a324)
& ~ c3_1(a324) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a325)
& c1_1(a325)
& ~ c2_1(a325) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a326)
& c2_1(a326)
& ~ c1_1(a326) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a327)
& c1_1(a327)
& ~ c3_1(a327) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a329)
& ~ c1_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a330)
& ~ c0_1(a330)
& ~ c1_1(a330) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c0_1(a332)
& ~ c2_1(a332)
& ~ c3_1(a332) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a334)
& ~ c0_1(a334)
& ~ c1_1(a334) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a337)
& ~ c2_1(a337)
& ~ c3_1(a337) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a338)
& ~ c1_1(a338)
& ~ c2_1(a338) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a345)
& c3_1(a345)
& ~ c2_1(a345) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a346)
& c2_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a347)
& c3_1(a347)
& ~ c1_1(a347) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a348)
& ~ c1_1(a348)
& ~ c3_1(a348) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a349)
& c3_1(a349)
& ~ c2_1(a349) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& ~ c0_1(a353) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a354)
& ~ c2_1(a354)
& ~ c3_1(a354) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a355)
& c2_1(a355)
& ~ c3_1(a355) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a358)
& ~ c0_1(a358)
& ~ c3_1(a358) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a359)
& ~ c0_1(a359)
& ~ c2_1(a359) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a367)
& ~ c1_1(a367)
& ~ c2_1(a367) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a377)
& c3_1(a377)
& ~ c0_1(a377) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a401)
& ~ c0_1(a401)
& ~ c2_1(a401) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a419)
& ~ c1_1(a419)
& ~ c2_1(a419) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a333)
& c1_1(a333)
& c3_1(a333) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a341)
& c2_1(a341)
& c3_1(a341) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a343)
& c1_1(a343)
& c2_1(a343) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| hskp3
| hskp4 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| hskp5
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9) ) )
| hskp6 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c3_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) )
| hskp7 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) )
| hskp5 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| ~ c2_1(X18)
| ~ c3_1(X18) ) )
| hskp8 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20) ) )
| hskp26 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c1_1(X22)
| c2_1(X22)
| ~ c0_1(X22) ) )
| hskp9 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24) ) )
| hskp7 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| hskp5
| hskp10 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp11 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| hskp5 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42) ) )
| hskp27 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| hskp7 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49) ) )
| hskp28 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54) ) )
| hskp26 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c0_1(X56)
| ~ c3_1(X56) ) )
| hskp12 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57) ) )
| hskp13
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59) ) )
| hskp15 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp16
| hskp9 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c2_1(X63)
| ~ c1_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)
| ~ c2_1(X65) ) )
| hskp12 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67) ) )
| hskp4 )
& ( ! [X68] :
( ndr1_0
=> ( c0_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp18 )
& ( ! [X69] :
( ndr1_0
=> ( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69) ) )
| hskp19
| hskp11 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71) ) )
| hskp12 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c3_1(X73) ) )
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp21 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| hskp5
| hskp14 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c2_1(X77)
| c3_1(X77) ) )
| hskp15
| hskp16 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c0_1(X78) ) )
| hskp19
| hskp0 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79) ) )
| hskp7
| hskp22 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp2 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp22 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp5 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| c3_1(X89)
| ~ c2_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90) ) )
| hskp19 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| hskp19 )
& ( ! [X93] :
( ndr1_0
=> ( c1_1(X93)
| ~ c0_1(X93)
| ~ c2_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp6 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp26
| hskp27 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14 )
& ( ! [X98] :
( ndr1_0
=> ( c1_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98) ) )
| hskp23
| hskp22 )
& ( ! [X99] :
( ndr1_0
=> ( c1_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp17 )
& ( ! [X101] :
( ndr1_0
=> ( c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp22 )
& ( ! [X103] :
( ndr1_0
=> ( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp15 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104) ) )
| ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105) ) )
| ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) ) )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108) ) )
| hskp10 )
& ( ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| c3_1(X109)
| ~ c0_1(X109) ) )
| hskp28
| hskp27 )
& ( ! [X110] :
( ndr1_0
=> ( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110) ) )
| hskp3
| hskp8 )
& ( ! [X111] :
( ndr1_0
=> ( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111) ) )
| ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112) ) )
| hskp8 )
& ( ! [X113] :
( ndr1_0
=> ( c2_1(X113)
| ~ c0_1(X113)
| ~ c1_1(X113) ) )
| ! [X114] :
( ndr1_0
=> ( ~ c1_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp20 )
& ( ! [X115] :
( ndr1_0
=> ( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115) ) )
| hskp13
| hskp12 )
& ( ! [X116] :
( ndr1_0
=> ( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116) ) )
| hskp28 )
& ( ! [X117] :
( ndr1_0
=> ( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117) ) )
| hskp3
| hskp10 )
& ( ! [X118] :
( ndr1_0
=> ( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118) ) )
| hskp4
| hskp16 )
& ( ! [X119] :
( ndr1_0
=> ( c3_1(X119)
| ~ c0_1(X119)
| ~ c2_1(X119) ) )
| hskp2
| hskp1 )
& ( ! [X120] :
( ndr1_0
=> ( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120) ) )
| hskp28
| hskp7 )
& ( ! [X121] :
( ndr1_0
=> ( ~ c0_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121) ) )
| hskp17
| hskp24 )
& ( ! [X122] :
( ndr1_0
=> ( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122) ) )
| ! [X123] :
( ndr1_0
=> ( ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123) ) )
| hskp10 )
& ( ! [X124] :
( ndr1_0
=> ( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124) ) )
| hskp5
| hskp16 )
& ( ! [X125] :
( ndr1_0
=> ( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125) ) )
| hskp3
| hskp10 )
& ( hskp26
| hskp24
| hskp2 )
& ( hskp3
| hskp5
| hskp4 )
& ( hskp4
| hskp13
| hskp8 )
& ( hskp12
| hskp17
| hskp14 )
& ( hskp25
| hskp16 )
& ( hskp25
| hskp11
| hskp1 )
& ( hskp17
| hskp24
| hskp8 )
& ( hskp17
| hskp18
| hskp11 )
& ( hskp24
| hskp7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c2_1(a322)
& c3_1(a322)
& ~ c0_1(a322) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c1_1(a323)
& ~ c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a324)
& ~ c1_1(a324)
& ~ c3_1(a324) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a325)
& c1_1(a325)
& ~ c2_1(a325) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a326)
& c2_1(a326)
& ~ c1_1(a326) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a327)
& c1_1(a327)
& ~ c3_1(a327) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a329)
& ~ c1_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a330)
& ~ c0_1(a330)
& ~ c1_1(a330) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c0_1(a332)
& ~ c2_1(a332)
& ~ c3_1(a332) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a334)
& ~ c0_1(a334)
& ~ c1_1(a334) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a337)
& ~ c2_1(a337)
& ~ c3_1(a337) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a338)
& ~ c1_1(a338)
& ~ c2_1(a338) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a345)
& c3_1(a345)
& ~ c2_1(a345) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a346)
& c2_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a347)
& c3_1(a347)
& ~ c1_1(a347) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a348)
& ~ c1_1(a348)
& ~ c3_1(a348) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a349)
& c3_1(a349)
& ~ c2_1(a349) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& ~ c0_1(a353) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a354)
& ~ c2_1(a354)
& ~ c3_1(a354) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a355)
& c2_1(a355)
& ~ c3_1(a355) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a358)
& ~ c0_1(a358)
& ~ c3_1(a358) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a359)
& ~ c0_1(a359)
& ~ c2_1(a359) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a367)
& ~ c1_1(a367)
& ~ c2_1(a367) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a377)
& c3_1(a377)
& ~ c0_1(a377) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a401)
& ~ c0_1(a401)
& ~ c2_1(a401) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a419)
& ~ c1_1(a419)
& ~ c2_1(a419) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a333)
& c1_1(a333)
& c3_1(a333) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a341)
& c2_1(a341)
& c3_1(a341) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a343)
& c1_1(a343)
& c2_1(a343) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| hskp3
| hskp4 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| hskp5
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9) ) )
| hskp6 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c3_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) )
| hskp7 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) )
| hskp5 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| ~ c2_1(X18)
| ~ c3_1(X18) ) )
| hskp8 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20) ) )
| hskp26 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c1_1(X22)
| c2_1(X22)
| ~ c0_1(X22) ) )
| hskp9 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24) ) )
| hskp7 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| hskp5
| hskp10 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp11 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| hskp5 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42) ) )
| hskp27 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| hskp7 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49) ) )
| hskp28 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54) ) )
| hskp26 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c0_1(X56)
| ~ c3_1(X56) ) )
| hskp12 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57) ) )
| hskp13
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59) ) )
| hskp15 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp16
| hskp9 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c2_1(X63)
| ~ c1_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)
| ~ c2_1(X65) ) )
| hskp12 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67) ) )
| hskp4 )
& ( ! [X68] :
( ndr1_0
=> ( c0_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp18 )
& ( ! [X69] :
( ndr1_0
=> ( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69) ) )
| hskp19
| hskp11 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71) ) )
| hskp12 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c3_1(X73) ) )
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp21 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| hskp5
| hskp14 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c2_1(X77)
| c3_1(X77) ) )
| hskp15
| hskp16 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c0_1(X78) ) )
| hskp19
| hskp0 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79) ) )
| hskp7
| hskp22 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp2 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp22 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp5 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| c3_1(X89)
| ~ c2_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90) ) )
| hskp19 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| hskp19 )
& ( ! [X93] :
( ndr1_0
=> ( c1_1(X93)
| ~ c0_1(X93)
| ~ c2_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp6 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp26
| hskp27 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14 )
& ( ! [X98] :
( ndr1_0
=> ( c1_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98) ) )
| hskp23
| hskp22 )
& ( ! [X99] :
( ndr1_0
=> ( c1_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp17 )
& ( ! [X101] :
( ndr1_0
=> ( c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp22 )
& ( ! [X103] :
( ndr1_0
=> ( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp15 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104) ) )
| ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105) ) )
| ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) ) )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108) ) )
| hskp10 )
& ( ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| c3_1(X109)
| ~ c0_1(X109) ) )
| hskp28
| hskp27 )
& ( ! [X110] :
( ndr1_0
=> ( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110) ) )
| hskp3
| hskp8 )
& ( ! [X111] :
( ndr1_0
=> ( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111) ) )
| ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112) ) )
| hskp8 )
& ( ! [X113] :
( ndr1_0
=> ( c2_1(X113)
| ~ c0_1(X113)
| ~ c1_1(X113) ) )
| ! [X114] :
( ndr1_0
=> ( ~ c1_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp20 )
& ( ! [X115] :
( ndr1_0
=> ( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115) ) )
| hskp13
| hskp12 )
& ( ! [X116] :
( ndr1_0
=> ( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116) ) )
| hskp28 )
& ( ! [X117] :
( ndr1_0
=> ( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117) ) )
| hskp3
| hskp10 )
& ( ! [X118] :
( ndr1_0
=> ( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118) ) )
| hskp4
| hskp16 )
& ( ! [X119] :
( ndr1_0
=> ( c3_1(X119)
| ~ c0_1(X119)
| ~ c2_1(X119) ) )
| hskp2
| hskp1 )
& ( ! [X120] :
( ndr1_0
=> ( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120) ) )
| hskp28
| hskp7 )
& ( ! [X121] :
( ndr1_0
=> ( ~ c0_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121) ) )
| hskp17
| hskp24 )
& ( ! [X122] :
( ndr1_0
=> ( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122) ) )
| ! [X123] :
( ndr1_0
=> ( ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123) ) )
| hskp10 )
& ( ! [X124] :
( ndr1_0
=> ( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124) ) )
| hskp5
| hskp16 )
& ( ! [X125] :
( ndr1_0
=> ( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125) ) )
| hskp3
| hskp10 )
& ( hskp26
| hskp24
| hskp2 )
& ( hskp3
| hskp5
| hskp4 )
& ( hskp4
| hskp13
| hskp8 )
& ( hskp12
| hskp17
| hskp14 )
& ( hskp25
| hskp16 )
& ( hskp25
| hskp11
| hskp1 )
& ( hskp17
| hskp24
| hskp8 )
& ( hskp17
| hskp18
| hskp11 )
& ( hskp24
| hskp7 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c2_1(a322)
& c3_1(a322)
& ~ c0_1(a322) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c1_1(a323)
& ~ c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a324)
& ~ c1_1(a324)
& ~ c3_1(a324) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a325)
& c1_1(a325)
& ~ c2_1(a325) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a326)
& c2_1(a326)
& ~ c1_1(a326) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a327)
& c1_1(a327)
& ~ c3_1(a327) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a329)
& ~ c1_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a330)
& ~ c0_1(a330)
& ~ c1_1(a330) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c0_1(a332)
& ~ c2_1(a332)
& ~ c3_1(a332) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a334)
& ~ c0_1(a334)
& ~ c1_1(a334) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a337)
& ~ c2_1(a337)
& ~ c3_1(a337) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a338)
& ~ c1_1(a338)
& ~ c2_1(a338) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a345)
& c3_1(a345)
& ~ c2_1(a345) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a346)
& c2_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a347)
& c3_1(a347)
& ~ c1_1(a347) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a348)
& ~ c1_1(a348)
& ~ c3_1(a348) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a349)
& c3_1(a349)
& ~ c2_1(a349) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& ~ c0_1(a353) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a354)
& ~ c2_1(a354)
& ~ c3_1(a354) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a355)
& c2_1(a355)
& ~ c3_1(a355) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a358)
& ~ c0_1(a358)
& ~ c3_1(a358) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a359)
& ~ c0_1(a359)
& ~ c2_1(a359) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a367)
& ~ c1_1(a367)
& ~ c2_1(a367) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a377)
& c3_1(a377)
& ~ c0_1(a377) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a401)
& ~ c0_1(a401)
& ~ c2_1(a401) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a419)
& ~ c1_1(a419)
& ~ c2_1(a419) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a333)
& c1_1(a333)
& c3_1(a333) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a341)
& c2_1(a341)
& c3_1(a341) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a343)
& c1_1(a343)
& c2_1(a343) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) )
| hskp0 )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c1_1(X2)
| c2_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3) ) )
| hskp1 )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5) ) )
| hskp2 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| hskp3
| hskp4 )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| hskp5
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9) ) )
| hskp6 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c3_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) )
| hskp7 )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13) ) )
| hskp5 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c1_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| ~ c2_1(X18)
| ~ c3_1(X18) ) )
| hskp8 )
& ( ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19) ) )
| ! [X20] :
( ndr1_0
=> ( c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20) ) )
| hskp26 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c1_1(X22)
| c2_1(X22)
| ~ c0_1(X22) ) )
| hskp9 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24) ) )
| hskp7 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| c3_1(X25) ) )
| hskp5
| hskp10 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c3_1(X27)
| ~ c1_1(X27) ) )
| hskp11 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29) ) )
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ) ) )
& ( ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31) ) )
| ! [X32] :
( ndr1_0
=> ( c1_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32) ) )
| hskp5 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ) ) )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40) ) )
| hskp4 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42) ) )
| hskp27 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c2_1(X43)
| ~ c3_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44) ) )
| hskp7 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ) ) )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48) ) )
| ! [X49] :
( ndr1_0
=> ( c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49) ) )
| hskp28 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54) ) )
| hskp26 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c1_1(X56)
| ~ c0_1(X56)
| ~ c3_1(X56) ) )
| hskp12 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57) ) )
| hskp13
| hskp14 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59) ) )
| hskp15 )
& ( ! [X60] :
( ndr1_0
=> ( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60) ) )
| hskp16
| hskp9 )
& ( ! [X61] :
( ndr1_0
=> ( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62) ) )
| ! [X63] :
( ndr1_0
=> ( c2_1(X63)
| ~ c1_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)
| ~ c2_1(X65) ) )
| hskp12 )
& ( ! [X66] :
( ndr1_0
=> ( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67) ) )
| hskp4 )
& ( ! [X68] :
( ndr1_0
=> ( c0_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp18 )
& ( ! [X69] :
( ndr1_0
=> ( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69) ) )
| hskp19
| hskp11 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| c2_1(X70)
| c3_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71) ) )
| hskp12 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| c2_1(X72)
| c3_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c3_1(X73) ) )
| hskp20 )
& ( ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| c2_1(X74)
| c3_1(X74) ) )
| ! [X75] :
( ndr1_0
=> ( c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp21 )
& ( ! [X76] :
( ndr1_0
=> ( c1_1(X76)
| c2_1(X76)
| c3_1(X76) ) )
| hskp5
| hskp14 )
& ( ! [X77] :
( ndr1_0
=> ( c1_1(X77)
| c2_1(X77)
| c3_1(X77) ) )
| hskp15
| hskp16 )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| c2_1(X78)
| ~ c0_1(X78) ) )
| hskp19
| hskp0 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79) ) )
| hskp7
| hskp22 )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp2 )
& ( ! [X82] :
( ndr1_0
=> ( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ) ) )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85) ) )
| ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86) ) )
| hskp22 )
& ( ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87) ) )
| ! [X88] :
( ndr1_0
=> ( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) ) )
| hskp5 )
& ( ! [X89] :
( ndr1_0
=> ( c1_1(X89)
| c3_1(X89)
| ~ c2_1(X89) ) )
| ! [X90] :
( ndr1_0
=> ( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90) ) )
| hskp19 )
& ( ! [X91] :
( ndr1_0
=> ( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92) ) )
| hskp19 )
& ( ! [X93] :
( ndr1_0
=> ( c1_1(X93)
| ~ c0_1(X93)
| ~ c2_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp6 )
& ( ! [X95] :
( ndr1_0
=> ( c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95) ) )
| hskp26
| hskp27 )
& ( ! [X96] :
( ndr1_0
=> ( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96) ) )
| ! [X97] :
( ndr1_0
=> ( c2_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14 )
& ( ! [X98] :
( ndr1_0
=> ( c1_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98) ) )
| hskp23
| hskp22 )
& ( ! [X99] :
( ndr1_0
=> ( c1_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100) ) )
| hskp17 )
& ( ! [X101] :
( ndr1_0
=> ( c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c1_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102) ) )
| hskp22 )
& ( ! [X103] :
( ndr1_0
=> ( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103) ) )
| hskp15 )
& ( ! [X104] :
( ndr1_0
=> ( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104) ) )
| ! [X105] :
( ndr1_0
=> ( c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105) ) )
| ! [X106] :
( ndr1_0
=> ( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ) ) )
& ( ! [X107] :
( ndr1_0
=> ( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107) ) )
| ! [X108] :
( ndr1_0
=> ( ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108) ) )
| hskp10 )
& ( ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| c3_1(X109)
| ~ c0_1(X109) ) )
| hskp28
| hskp27 )
& ( ! [X110] :
( ndr1_0
=> ( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110) ) )
| hskp3
| hskp8 )
& ( ! [X111] :
( ndr1_0
=> ( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111) ) )
| ! [X112] :
( ndr1_0
=> ( c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112) ) )
| hskp8 )
& ( ! [X113] :
( ndr1_0
=> ( c2_1(X113)
| ~ c0_1(X113)
| ~ c1_1(X113) ) )
| ! [X114] :
( ndr1_0
=> ( ~ c1_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114) ) )
| hskp20 )
& ( ! [X115] :
( ndr1_0
=> ( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115) ) )
| hskp13
| hskp12 )
& ( ! [X116] :
( ndr1_0
=> ( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116) ) )
| hskp28 )
& ( ! [X117] :
( ndr1_0
=> ( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117) ) )
| hskp3
| hskp10 )
& ( ! [X118] :
( ndr1_0
=> ( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118) ) )
| hskp4
| hskp16 )
& ( ! [X119] :
( ndr1_0
=> ( c3_1(X119)
| ~ c0_1(X119)
| ~ c2_1(X119) ) )
| hskp2
| hskp1 )
& ( ! [X120] :
( ndr1_0
=> ( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120) ) )
| hskp28
| hskp7 )
& ( ! [X121] :
( ndr1_0
=> ( ~ c0_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121) ) )
| hskp17
| hskp24 )
& ( ! [X122] :
( ndr1_0
=> ( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122) ) )
| ! [X123] :
( ndr1_0
=> ( ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123) ) )
| hskp10 )
& ( ! [X124] :
( ndr1_0
=> ( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124) ) )
| hskp5
| hskp16 )
& ( ! [X125] :
( ndr1_0
=> ( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125) ) )
| hskp3
| hskp10 )
& ( hskp26
| hskp24
| hskp2 )
& ( hskp3
| hskp5
| hskp4 )
& ( hskp4
| hskp13
| hskp8 )
& ( hskp12
| hskp17
| hskp14 )
& ( hskp25
| hskp16 )
& ( hskp25
| hskp11
| hskp1 )
& ( hskp17
| hskp24
| hskp8 )
& ( hskp17
| hskp18
| hskp11 )
& ( hskp24
| hskp7 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c2_1(a322)
& c3_1(a322)
& ~ c0_1(a322) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c1_1(a323)
& ~ c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a324)
& ~ c1_1(a324)
& ~ c3_1(a324) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a325)
& c1_1(a325)
& ~ c2_1(a325) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a326)
& c2_1(a326)
& ~ c1_1(a326) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a327)
& c1_1(a327)
& ~ c3_1(a327) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a329)
& ~ c1_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a330)
& ~ c0_1(a330)
& ~ c1_1(a330) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c0_1(a332)
& ~ c2_1(a332)
& ~ c3_1(a332) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a334)
& ~ c0_1(a334)
& ~ c1_1(a334) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a337)
& ~ c2_1(a337)
& ~ c3_1(a337) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a338)
& ~ c1_1(a338)
& ~ c2_1(a338) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a345)
& c3_1(a345)
& ~ c2_1(a345) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a346)
& c2_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a347)
& c3_1(a347)
& ~ c1_1(a347) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a348)
& ~ c1_1(a348)
& ~ c3_1(a348) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a349)
& c3_1(a349)
& ~ c2_1(a349) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& ~ c0_1(a353) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a354)
& ~ c2_1(a354)
& ~ c3_1(a354) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a355)
& c2_1(a355)
& ~ c3_1(a355) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a358)
& ~ c0_1(a358)
& ~ c3_1(a358) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a359)
& ~ c0_1(a359)
& ~ c2_1(a359) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a367)
& ~ c1_1(a367)
& ~ c2_1(a367) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a377)
& c3_1(a377)
& ~ c0_1(a377) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a401)
& ~ c0_1(a401)
& ~ c2_1(a401) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a419)
& ~ c1_1(a419)
& ~ c2_1(a419) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a333)
& c1_1(a333)
& c3_1(a333) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a341)
& c2_1(a341)
& c3_1(a341) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a343)
& c1_1(a343)
& c2_1(a343) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| hskp3
| hskp4 )
& ( ! [X7] :
( c0_1(X7)
| c1_1(X7)
| c2_1(X7)
| ~ ndr1_0 )
| hskp5
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c3_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X12] :
( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c0_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c1_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( ~ c1_1(X18)
| ~ c2_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20)
| ~ ndr1_0 )
| hskp26 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c1_1(X22)
| c2_1(X22)
| ~ c0_1(X22)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| hskp5
| hskp10 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c0_1(X27)
| c3_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30)
| ~ ndr1_0 ) )
& ( ! [X31] :
( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c1_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X33] :
( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33)
| ~ ndr1_0 )
| ! [X34] :
( c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 ) )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 ) )
& ( ! [X39] :
( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c3_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X41] :
( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X43] :
( c0_1(X43)
| c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X45] :
( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 ) )
& ( ! [X48] :
( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X50] :
( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp26 )
& ( ! [X55] :
( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| ~ c0_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X57] :
( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| hskp13
| hskp14 )
& ( ! [X58] :
( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X60] :
( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60)
| ~ ndr1_0 )
| hskp16
| hskp9 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( c2_1(X63)
| ~ c1_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)
| ~ c2_1(X65)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X66] :
( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c3_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X68] :
( c0_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X69] :
( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69)
| ~ ndr1_0 )
| hskp19
| hskp11 )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c1_1(X73)
| ~ c0_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X74] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| c3_1(X76)
| ~ ndr1_0 )
| hskp5
| hskp14 )
& ( ! [X77] :
( c1_1(X77)
| c2_1(X77)
| c3_1(X77)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X78] :
( c1_1(X78)
| c2_1(X78)
| ~ c0_1(X78)
| ~ ndr1_0 )
| hskp19
| hskp0 )
& ( ! [X79] :
( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| hskp7
| hskp22 )
& ( ! [X80] :
( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X82] :
( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84)
| ~ ndr1_0 ) )
& ( ! [X85] :
( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0 )
| ! [X86] :
( c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X87] :
( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X89] :
( c1_1(X89)
| c3_1(X89)
| ~ c2_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X91] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X93] :
( c1_1(X93)
| ~ c0_1(X93)
| ~ c2_1(X93)
| ~ ndr1_0 )
| ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X95] :
( c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95)
| ~ ndr1_0 )
| hskp26
| hskp27 )
& ( ! [X96] :
( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| ! [X97] :
( c2_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X98] :
( c1_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp23
| hskp22 )
& ( ! [X99] :
( c1_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| ! [X100] :
( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X101] :
( c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| ! [X102] :
( ~ c1_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X103] :
( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X104] :
( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104)
| ~ ndr1_0 )
| ! [X105] :
( c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| ! [X106] :
( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 ) )
& ( ! [X107] :
( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107)
| ~ ndr1_0 )
| ! [X108] :
( ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X109] :
( c2_1(X109)
| c3_1(X109)
| ~ c0_1(X109)
| ~ ndr1_0 )
| hskp28
| hskp27 )
& ( ! [X110] :
( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110)
| ~ ndr1_0 )
| hskp3
| hskp8 )
& ( ! [X111] :
( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111)
| ~ ndr1_0 )
| ! [X112] :
( c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X113] :
( c2_1(X113)
| ~ c0_1(X113)
| ~ c1_1(X113)
| ~ ndr1_0 )
| ! [X114] :
( ~ c1_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X115] :
( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115)
| ~ ndr1_0 )
| hskp13
| hskp12 )
& ( ! [X116] :
( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X117] :
( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117)
| ~ ndr1_0 )
| hskp3
| hskp10 )
& ( ! [X118] :
( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118)
| ~ ndr1_0 )
| hskp4
| hskp16 )
& ( ! [X119] :
( c3_1(X119)
| ~ c0_1(X119)
| ~ c2_1(X119)
| ~ ndr1_0 )
| hskp2
| hskp1 )
& ( ! [X120] :
( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X121] :
( ~ c0_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121)
| ~ ndr1_0 )
| hskp17
| hskp24 )
& ( ! [X122] :
( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122)
| ~ ndr1_0 )
| ! [X123] :
( ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X124] :
( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124)
| ~ ndr1_0 )
| hskp5
| hskp16 )
& ( ! [X125] :
( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125)
| ~ ndr1_0 )
| hskp3
| hskp10 )
& ( hskp26
| hskp24
| hskp2 )
& ( hskp3
| hskp5
| hskp4 )
& ( hskp4
| hskp13
| hskp8 )
& ( hskp12
| hskp17
| hskp14 )
& ( hskp25
| hskp16 )
& ( hskp25
| hskp11
| hskp1 )
& ( hskp17
| hskp24
| hskp8 )
& ( hskp17
| hskp18
| hskp11 )
& ( hskp24
| hskp7 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c2_1(a322)
& c3_1(a322)
& ~ c0_1(a322) ) )
& ( ~ hskp1
| ( ndr1_0
& ~ c1_1(a323)
& ~ c2_1(a323)
& ~ c3_1(a323) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a324)
& ~ c1_1(a324)
& ~ c3_1(a324) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a325)
& c1_1(a325)
& ~ c2_1(a325) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a326)
& c2_1(a326)
& ~ c1_1(a326) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a327)
& c1_1(a327)
& ~ c3_1(a327) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a329)
& ~ c1_1(a329)
& ~ c3_1(a329) ) )
& ( ~ hskp7
| ( ndr1_0
& c3_1(a330)
& ~ c0_1(a330)
& ~ c1_1(a330) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c0_1(a332)
& ~ c2_1(a332)
& ~ c3_1(a332) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a334)
& ~ c0_1(a334)
& ~ c1_1(a334) ) )
& ( ~ hskp10
| ( ndr1_0
& c0_1(a337)
& ~ c2_1(a337)
& ~ c3_1(a337) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ c0_1(a338)
& ~ c1_1(a338)
& ~ c2_1(a338) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a345)
& c3_1(a345)
& ~ c2_1(a345) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a346)
& c2_1(a346)
& ~ c3_1(a346) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a347)
& c3_1(a347)
& ~ c1_1(a347) ) )
& ( ~ hskp15
| ( ndr1_0
& c0_1(a348)
& ~ c1_1(a348)
& ~ c3_1(a348) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a349)
& c3_1(a349)
& ~ c2_1(a349) ) )
& ( ~ hskp17
| ( ndr1_0
& c1_1(a353)
& c2_1(a353)
& ~ c0_1(a353) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a354)
& ~ c2_1(a354)
& ~ c3_1(a354) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a355)
& c2_1(a355)
& ~ c3_1(a355) ) )
& ( ~ hskp20
| ( ndr1_0
& c2_1(a358)
& ~ c0_1(a358)
& ~ c3_1(a358) ) )
& ( ~ hskp21
| ( ndr1_0
& c3_1(a359)
& ~ c0_1(a359)
& ~ c2_1(a359) ) )
& ( ~ hskp22
| ( ndr1_0
& c3_1(a367)
& ~ c1_1(a367)
& ~ c2_1(a367) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a377)
& c3_1(a377)
& ~ c0_1(a377) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a401)
& ~ c0_1(a401)
& ~ c2_1(a401) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a419)
& ~ c1_1(a419)
& ~ c2_1(a419) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a333)
& c1_1(a333)
& c3_1(a333) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a341)
& c2_1(a341)
& c3_1(a341) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a343)
& c1_1(a343)
& c2_1(a343) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 )
| ! [X3] :
( c0_1(X3)
| c2_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X4] :
( c0_1(X4)
| c1_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c2_1(X5)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| hskp3
| hskp4 )
& ( ! [X7] :
( c0_1(X7)
| c1_1(X7)
| c2_1(X7)
| ~ ndr1_0 )
| hskp5
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( ~ c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c3_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X12] :
( c0_1(X12)
| c1_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 )
| ! [X13] :
( c0_1(X13)
| ~ c1_1(X13)
| ~ c2_1(X13)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| ~ c2_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c1_1(X15)
| ~ c0_1(X15)
| ~ c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c1_1(X16)
| ~ c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| ~ c2_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( ~ c1_1(X18)
| ~ c2_1(X18)
| ~ c3_1(X18)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X19] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0 )
| ! [X20] :
( c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20)
| ~ ndr1_0 )
| hskp26 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( c1_1(X22)
| c2_1(X22)
| ~ c0_1(X22)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| c3_1(X25)
| ~ ndr1_0 )
| hskp5
| hskp10 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c0_1(X27)
| c3_1(X27)
| ~ c1_1(X27)
| ~ ndr1_0 )
| hskp11 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29)
| ~ ndr1_0 )
| ! [X30] :
( c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30)
| ~ ndr1_0 ) )
& ( ! [X31] :
( c0_1(X31)
| c2_1(X31)
| ~ c1_1(X31)
| ~ ndr1_0 )
| ! [X32] :
( c1_1(X32)
| ~ c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X33] :
( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33)
| ~ ndr1_0 )
| ! [X34] :
( c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 ) )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| ! [X38] :
( ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 ) )
& ( ! [X39] :
( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( c3_1(X40)
| ~ c1_1(X40)
| ~ c2_1(X40)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X41] :
( c0_1(X41)
| c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c0_1(X42)
| c3_1(X42)
| ~ c1_1(X42)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X43] :
( c0_1(X43)
| c2_1(X43)
| ~ c3_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c0_1(X44)
| c3_1(X44)
| ~ c1_1(X44)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X45] :
( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 ) )
& ( ! [X48] :
( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| ! [X49] :
( c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X50] :
( c0_1(X50)
| c3_1(X50)
| ~ c1_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c1_1(X51)
| ~ c0_1(X51)
| ~ c2_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c2_1(X52)
| c3_1(X52)
| ~ c1_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0 )
| hskp26 )
& ( ! [X55] :
( c0_1(X55)
| c3_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c1_1(X56)
| ~ c0_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X57] :
( c0_1(X57)
| c3_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| hskp13
| hskp14 )
& ( ! [X58] :
( c0_1(X58)
| ~ c1_1(X58)
| ~ c2_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| c2_1(X59)
| ~ c0_1(X59)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X60] :
( c0_1(X60)
| ~ c1_1(X60)
| ~ c2_1(X60)
| ~ ndr1_0 )
| hskp16
| hskp9 )
& ( ! [X61] :
( c0_1(X61)
| ~ c1_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| c2_1(X62)
| ~ c0_1(X62)
| ~ ndr1_0 )
| ! [X63] :
( c2_1(X63)
| ~ c1_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)
| ~ c2_1(X65)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X66] :
( c0_1(X66)
| ~ c2_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c3_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X68] :
( c0_1(X68)
| ~ c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X69] :
( c0_1(X69)
| ~ c2_1(X69)
| ~ c3_1(X69)
| ~ ndr1_0 )
| hskp19
| hskp11 )
& ( ! [X70] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X72] :
( c1_1(X72)
| c2_1(X72)
| c3_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c1_1(X73)
| ~ c0_1(X73)
| ~ c3_1(X73)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X74] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0 )
| ! [X75] :
( c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X76] :
( c1_1(X76)
| c2_1(X76)
| c3_1(X76)
| ~ ndr1_0 )
| hskp5
| hskp14 )
& ( ! [X77] :
( c1_1(X77)
| c2_1(X77)
| c3_1(X77)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X78] :
( c1_1(X78)
| c2_1(X78)
| ~ c0_1(X78)
| ~ ndr1_0 )
| hskp19
| hskp0 )
& ( ! [X79] :
( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0 )
| hskp7
| hskp22 )
& ( ! [X80] :
( c1_1(X80)
| c2_1(X80)
| ~ c3_1(X80)
| ~ ndr1_0 )
| ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X82] :
( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| ! [X84] :
( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84)
| ~ ndr1_0 ) )
& ( ! [X85] :
( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0 )
| ! [X86] :
( c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X87] :
( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| ! [X88] :
( c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X89] :
( c1_1(X89)
| c3_1(X89)
| ~ c2_1(X89)
| ~ ndr1_0 )
| ! [X90] :
( c1_1(X90)
| ~ c0_1(X90)
| ~ c3_1(X90)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X91] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| ! [X92] :
( c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0 )
| hskp19 )
& ( ! [X93] :
( c1_1(X93)
| ~ c0_1(X93)
| ~ c2_1(X93)
| ~ ndr1_0 )
| ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X95] :
( c1_1(X95)
| ~ c0_1(X95)
| ~ c2_1(X95)
| ~ ndr1_0 )
| hskp26
| hskp27 )
& ( ! [X96] :
( c1_1(X96)
| ~ c0_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| ! [X97] :
( c2_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14 )
& ( ! [X98] :
( c1_1(X98)
| ~ c0_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp23
| hskp22 )
& ( ! [X99] :
( c1_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| ! [X100] :
( c2_1(X100)
| ~ c0_1(X100)
| ~ c1_1(X100)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X101] :
( c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| ! [X102] :
( ~ c1_1(X102)
| ~ c2_1(X102)
| ~ c3_1(X102)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X103] :
( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X104] :
( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104)
| ~ ndr1_0 )
| ! [X105] :
( c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0 )
| ! [X106] :
( ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 ) )
& ( ! [X107] :
( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107)
| ~ ndr1_0 )
| ! [X108] :
( ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X109] :
( c2_1(X109)
| c3_1(X109)
| ~ c0_1(X109)
| ~ ndr1_0 )
| hskp28
| hskp27 )
& ( ! [X110] :
( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110)
| ~ ndr1_0 )
| hskp3
| hskp8 )
& ( ! [X111] :
( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111)
| ~ ndr1_0 )
| ! [X112] :
( c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X113] :
( c2_1(X113)
| ~ c0_1(X113)
| ~ c1_1(X113)
| ~ ndr1_0 )
| ! [X114] :
( ~ c1_1(X114)
| ~ c2_1(X114)
| ~ c3_1(X114)
| ~ ndr1_0 )
| hskp20 )
& ( ! [X115] :
( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115)
| ~ ndr1_0 )
| hskp13
| hskp12 )
& ( ! [X116] :
( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X117] :
( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117)
| ~ ndr1_0 )
| hskp3
| hskp10 )
& ( ! [X118] :
( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118)
| ~ ndr1_0 )
| hskp4
| hskp16 )
& ( ! [X119] :
( c3_1(X119)
| ~ c0_1(X119)
| ~ c2_1(X119)
| ~ ndr1_0 )
| hskp2
| hskp1 )
& ( ! [X120] :
( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X121] :
( ~ c0_1(X121)
| ~ c1_1(X121)
| ~ c2_1(X121)
| ~ ndr1_0 )
| hskp17
| hskp24 )
& ( ! [X122] :
( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122)
| ~ ndr1_0 )
| ! [X123] :
( ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X124] :
( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124)
| ~ ndr1_0 )
| hskp5
| hskp16 )
& ( ! [X125] :
( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125)
| ~ ndr1_0 )
| hskp3
| hskp10 )
& ( hskp26
| hskp24
| hskp2 )
& ( hskp3
| hskp5
| hskp4 )
& ( hskp4
| hskp13
| hskp8 )
& ( hskp12
| hskp17
| hskp14 )
& ( hskp25
| hskp16 )
& ( hskp25
| hskp11
| hskp1 )
& ( hskp17
| hskp24
| hskp8 )
& ( hskp17
| hskp18
| hskp11 )
& ( hskp24
| hskp7 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp24
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
( hskp25
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X125] :
( ~ c1_1(X125)
| ~ c2_1(X125)
| ~ c3_1(X125)
| ~ ndr1_0
| hskp3
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X124] :
( ~ c0_1(X124)
| ~ c2_1(X124)
| ~ c3_1(X124)
| ~ ndr1_0
| hskp5
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X122,X123] :
( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122)
| ~ ndr1_0
| ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123)
| ~ ndr1_0
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X120] :
( c3_1(X120)
| ~ c1_1(X120)
| ~ c2_1(X120)
| ~ ndr1_0
| hskp28
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X118] :
( c3_1(X118)
| ~ c0_1(X118)
| ~ c2_1(X118)
| ~ ndr1_0
| hskp4
| hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X117] :
( c3_1(X117)
| ~ c0_1(X117)
| ~ c2_1(X117)
| ~ ndr1_0
| hskp3
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X116] :
( c2_1(X116)
| ~ c1_1(X116)
| ~ c3_1(X116)
| ~ ndr1_0
| hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X115] :
( c2_1(X115)
| ~ c0_1(X115)
| ~ c1_1(X115)
| ~ ndr1_0
| hskp13
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
! [X111,X112] :
( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111)
| ~ ndr1_0
| c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112)
| ~ ndr1_0
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X110] :
( c2_1(X110)
| c3_1(X110)
| ~ c0_1(X110)
| ~ ndr1_0
| hskp3
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X108,X107] :
( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107)
| ~ ndr1_0
| ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108)
| ~ ndr1_0
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X106,X104,X105] :
( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104)
| ~ ndr1_0
| c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105)
| ~ ndr1_0
| ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X103] :
( c1_1(X103)
| ~ c2_1(X103)
| ~ c3_1(X103)
| ~ ndr1_0
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X91,X92] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0
| c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| ~ ndr1_0
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X88,X87] :
( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0
| c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X86,X85] :
( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0
| c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| ~ ndr1_0
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X82,X83,X84] :
( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0
| c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0
| ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X79] :
( c1_1(X79)
| c2_1(X79)
| ~ c0_1(X79)
| ~ ndr1_0
| hskp7
| hskp22 ),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X74,X75] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0
| c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
! [X70,X71] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0
| c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f54,plain,
! [X65,X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0
| c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65)
| ~ ndr1_0
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f60,plain,
! [X54,X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53)
| ~ ndr1_0
| c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54)
| ~ ndr1_0
| hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X48,X49] :
( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0
| c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49)
| ~ ndr1_0
| hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X46,X47,X45] :
( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0
| c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46)
| ~ ndr1_0
| c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X38,X36,X37] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0
| c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0
| ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
! [X34,X35,X33] :
( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33)
| ~ ndr1_0
| c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0
| ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f70,plain,
! [X28,X29,X30] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0
| c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29)
| ~ ndr1_0
| c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
! [X24,X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0
| ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
! [X19,X20] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0
| c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20)
| ~ ndr1_0
| hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ hskp28
| c2_1(a343) ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ hskp28
| c1_1(a343) ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ hskp28
| c0_1(a343) ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( ~ hskp26
| c3_1(a333) ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ hskp26
| c1_1(a333) ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( ~ hskp26
| c0_1(a333) ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( ~ hskp25
| ~ c2_1(a419) ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ~ hskp25
| ~ c1_1(a419) ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ hskp25
| c0_1(a419) ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ hskp24
| ~ c2_1(a401) ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( ~ hskp24
| ~ c0_1(a401) ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( ~ hskp24
| c1_1(a401) ),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( ~ hskp24
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( ~ hskp22
| ~ c2_1(a367) ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ hskp22
| ~ c1_1(a367) ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( ~ hskp22
| c3_1(a367) ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ hskp21
| ~ c2_1(a359) ),
inference(cnf_transformation,[],[f5]) ).
fof(f115,plain,
( ~ hskp21
| ~ c0_1(a359) ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ hskp21
| c3_1(a359) ),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
( ~ hskp19
| ~ c3_1(a355) ),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
( ~ hskp19
| c2_1(a355) ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( ~ hskp19
| c1_1(a355) ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ hskp16
| ~ c2_1(a349) ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ hskp16
| c3_1(a349) ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( ~ hskp16
| c1_1(a349) ),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
( ~ hskp15
| ~ c3_1(a348) ),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
( ~ hskp15
| ~ c1_1(a348) ),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
( ~ hskp15
| c0_1(a348) ),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
( ~ hskp13
| ~ c3_1(a346) ),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
( ~ hskp13
| c2_1(a346) ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( ~ hskp13
| c0_1(a346) ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ hskp12
| ~ c2_1(a345) ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ hskp12
| c3_1(a345) ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ hskp12
| c0_1(a345) ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ hskp10
| ~ c3_1(a337) ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ hskp10
| ~ c2_1(a337) ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( ~ hskp10
| c0_1(a337) ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ hskp8
| ~ c3_1(a332) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ hskp8
| ~ c2_1(a332) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( ~ hskp8
| ~ c0_1(a332) ),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
( ~ hskp7
| ~ c1_1(a330) ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ hskp7
| ~ c0_1(a330) ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ hskp7
| c3_1(a330) ),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
( ~ hskp7
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
( ~ hskp5
| ~ c3_1(a327) ),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
( ~ hskp5
| c1_1(a327) ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( ~ hskp5
| c0_1(a327) ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ hskp4
| ~ c1_1(a326) ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ hskp4
| c2_1(a326) ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( ~ hskp4
| c0_1(a326) ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ hskp3
| ~ c2_1(a325) ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( ~ hskp3
| c1_1(a325) ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( ~ hskp3
| c0_1(a325) ),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
! [X122,X123] :
( ~ c0_1(X122)
| ~ c1_1(X122)
| ~ c3_1(X122)
| ~ ndr1_0
| ~ c1_1(X123)
| ~ c2_1(X123)
| ~ c3_1(X123)
| hskp10 ),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f204,plain,
! [X111,X112] :
( c2_1(X111)
| ~ c0_1(X111)
| ~ c1_1(X111)
| ~ ndr1_0
| c3_1(X112)
| ~ c0_1(X112)
| ~ c1_1(X112)
| hskp8 ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f205,plain,
! [X108,X107] :
( c2_1(X107)
| c3_1(X107)
| ~ c0_1(X107)
| ~ ndr1_0
| ~ c0_1(X108)
| ~ c1_1(X108)
| ~ c2_1(X108)
| hskp10 ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f206,plain,
! [X106,X104,X105] :
( c2_1(X104)
| c3_1(X104)
| ~ c0_1(X104)
| ~ ndr1_0
| c2_1(X105)
| ~ c0_1(X105)
| ~ c3_1(X105)
| ~ c0_1(X106)
| ~ c2_1(X106)
| ~ c3_1(X106) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f211,plain,
! [X91,X92] :
( c1_1(X91)
| ~ c0_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0
| c3_1(X92)
| ~ c0_1(X92)
| ~ c1_1(X92)
| hskp19 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f213,plain,
! [X88,X87] :
( c1_1(X87)
| c3_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0
| c1_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88)
| hskp5 ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f214,plain,
! [X86,X85] :
( c1_1(X85)
| c3_1(X85)
| ~ c0_1(X85)
| ~ ndr1_0
| c2_1(X86)
| c3_1(X86)
| ~ c0_1(X86)
| hskp22 ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f215,plain,
! [X82,X83,X84] :
( c1_1(X82)
| c2_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0
| c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f217,plain,
! [X74,X75] :
( c1_1(X74)
| c2_1(X74)
| c3_1(X74)
| ~ ndr1_0
| c3_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75)
| hskp21 ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f219,plain,
! [X70,X71] :
( c1_1(X70)
| c2_1(X70)
| c3_1(X70)
| ~ ndr1_0
| c1_1(X71)
| c2_1(X71)
| ~ c3_1(X71)
| hskp12 ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f221,plain,
! [X65,X64] :
( c0_1(X64)
| ~ c1_1(X64)
| ~ c3_1(X64)
| ~ ndr1_0
| c1_1(X65)
| ~ c0_1(X65)
| ~ c2_1(X65)
| hskp12 ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f225,plain,
! [X54,X53] :
( c0_1(X53)
| c3_1(X53)
| ~ c1_1(X53)
| ~ ndr1_0
| c2_1(X54)
| ~ c0_1(X54)
| ~ c3_1(X54)
| hskp26 ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f227,plain,
! [X48,X49] :
( c0_1(X48)
| c2_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0
| c2_1(X49)
| ~ c0_1(X49)
| ~ c3_1(X49)
| hskp28 ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f228,plain,
! [X46,X47,X45] :
( c0_1(X45)
| c2_1(X45)
| ~ c3_1(X45)
| ~ ndr1_0
| c1_1(X46)
| c2_1(X46)
| ~ c0_1(X46)
| c1_1(X47)
| ~ c2_1(X47)
| ~ c3_1(X47) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f232,plain,
! [X38,X36,X37] :
( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36)
| ~ ndr1_0
| c3_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f233,plain,
! [X34,X35,X33] :
( c0_1(X33)
| c2_1(X33)
| ~ c1_1(X33)
| ~ ndr1_0
| c2_1(X34)
| ~ c0_1(X34)
| ~ c3_1(X34)
| ~ c0_1(X35)
| ~ c2_1(X35)
| ~ c3_1(X35) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f235,plain,
! [X28,X29,X30] :
( c0_1(X28)
| c2_1(X28)
| ~ c1_1(X28)
| ~ ndr1_0
| c1_1(X29)
| ~ c0_1(X29)
| ~ c2_1(X29)
| c2_1(X30)
| c3_1(X30)
| ~ c0_1(X30) ),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f237,plain,
! [X24,X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0
| ~ c0_1(X24)
| ~ c1_1(X24)
| ~ c2_1(X24)
| hskp7 ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f239,plain,
! [X19,X20] :
( c0_1(X19)
| c1_1(X19)
| ~ c3_1(X19)
| ~ ndr1_0
| c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20)
| hskp26 ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f249,definition,
( spl0_1
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f252,definition,
( spl0_2
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f252,f249]) ).
fof(f266,definition,
( spl0_6
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f273,definition,
( spl0_8
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f277,definition,
( spl0_9
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f279,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f273,f277]) ).
fof(f284,definition,
( spl0_11
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f288,definition,
( spl0_12
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f291,definition,
( spl0_13
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f295,definition,
( spl0_14
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f298,definition,
( spl0_15
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f305,definition,
( spl0_17
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f309,definition,
( spl0_18
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f312,definition,
( spl0_19
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f315,definition,
( spl0_20
<=> ! [X125] :
( ~ c1_1(X125)
| ~ c3_1(X125)
| ~ c2_1(X125) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f316,plain,
( ! [X125] :
( ~ c3_1(X125)
| ~ c1_1(X125)
| ~ c2_1(X125) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( spl0_18
| spl0_15
| ~ spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f15,f315,f312,f298,f309]) ).
fof(f319,definition,
( spl0_21
<=> ! [X124] :
( ~ c0_1(X124)
| ~ c3_1(X124)
| ~ c2_1(X124) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f320,plain,
( ! [X124] :
( ~ c3_1(X124)
| ~ c0_1(X124)
| ~ c2_1(X124) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f321,plain,
( spl0_9
| spl0_14
| ~ spl0_19
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f319,f312,f295,f277]) ).
fof(f323,definition,
( spl0_22
<=> ! [X122] :
( ~ c0_1(X122)
| ~ c3_1(X122)
| ~ c1_1(X122) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f324,plain,
( ! [X122] :
( ~ c3_1(X122)
| ~ c0_1(X122)
| ~ c1_1(X122) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( spl0_18
| spl0_20
| ~ spl0_19
| spl0_22 ),
inference(avatar_split_clause,[],[f202,f323,f312,f315,f309]) ).
fof(f327,definition,
( spl0_23
<=> ! [X121] :
( ~ c0_1(X121)
| ~ c2_1(X121)
| ~ c1_1(X121) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f328,plain,
( ! [X121] :
( ~ c0_1(X121)
| ~ c2_1(X121)
| ~ c1_1(X121) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f331,definition,
( spl0_24
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f334,definition,
( spl0_25
<=> ! [X120] :
( c3_1(X120)
| ~ c2_1(X120)
| ~ c1_1(X120) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f335,plain,
( ! [X120] :
( c3_1(X120)
| ~ c2_1(X120)
| ~ c1_1(X120) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl0_1
| spl0_24
| ~ spl0_19
| spl0_25 ),
inference(avatar_split_clause,[],[f19,f334,f312,f331,f249]) ).
fof(f338,definition,
( spl0_26
<=> ! [X119] :
( c3_1(X119)
| ~ c2_1(X119)
| ~ c0_1(X119) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f339,plain,
( ! [X119] :
( c3_1(X119)
| ~ c2_1(X119)
| ~ c0_1(X119) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,plain,
( spl0_9
| spl0_13
| ~ spl0_19
| spl0_26 ),
inference(avatar_split_clause,[],[f21,f338,f312,f291,f277]) ).
fof(f342,plain,
( spl0_18
| spl0_15
| ~ spl0_19
| spl0_26 ),
inference(avatar_split_clause,[],[f22,f338,f312,f298,f309]) ).
fof(f344,definition,
( spl0_27
<=> ! [X116] :
( c2_1(X116)
| ~ c3_1(X116)
| ~ c1_1(X116) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f345,plain,
( ! [X116] :
( ~ c3_1(X116)
| c2_1(X116)
| ~ c1_1(X116) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( spl0_24
| ~ spl0_19
| spl0_27 ),
inference(avatar_split_clause,[],[f23,f344,f312,f331]) ).
fof(f348,definition,
( spl0_28
<=> ! [X115] :
( c2_1(X115)
| ~ c1_1(X115)
| ~ c0_1(X115) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f349,plain,
( ! [X115] :
( ~ c0_1(X115)
| ~ c1_1(X115)
| c2_1(X115) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl0_11
| spl0_12
| ~ spl0_19
| spl0_28 ),
inference(avatar_split_clause,[],[f24,f348,f312,f288,f284]) ).
fof(f356,definition,
( spl0_30
<=> ! [X112] :
( c3_1(X112)
| ~ c1_1(X112)
| ~ c0_1(X112) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f357,plain,
( ! [X112] :
( c3_1(X112)
| ~ c1_1(X112)
| ~ c0_1(X112) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( spl0_6
| spl0_30
| ~ spl0_19
| spl0_28 ),
inference(avatar_split_clause,[],[f204,f348,f312,f356,f266]) ).
fof(f360,definition,
( spl0_31
<=> ! [X110] :
( c2_1(X110)
| ~ c0_1(X110)
| c3_1(X110) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f361,plain,
( ! [X110] :
( c3_1(X110)
| ~ c0_1(X110)
| c2_1(X110) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( spl0_6
| spl0_15
| ~ spl0_19
| spl0_31 ),
inference(avatar_split_clause,[],[f27,f360,f312,f298,f266]) ).
fof(f367,plain,
( spl0_18
| spl0_23
| ~ spl0_19
| spl0_31 ),
inference(avatar_split_clause,[],[f205,f360,f312,f327,f309]) ).
fof(f369,definition,
( spl0_33
<=> ! [X105] :
( c2_1(X105)
| ~ c3_1(X105)
| ~ c0_1(X105) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f370,plain,
( ! [X105] :
( ~ c3_1(X105)
| c2_1(X105)
| ~ c0_1(X105) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl0_21
| spl0_33
| ~ spl0_19
| spl0_31 ),
inference(avatar_split_clause,[],[f206,f360,f312,f369,f319]) ).
fof(f373,definition,
( spl0_34
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f376,definition,
( spl0_35
<=> ! [X103] :
( c1_1(X103)
| ~ c3_1(X103)
| ~ c2_1(X103) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f377,plain,
( ! [X103] :
( ~ c3_1(X103)
| c1_1(X103)
| ~ c2_1(X103) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f378,plain,
( spl0_34
| ~ spl0_19
| spl0_35 ),
inference(avatar_split_clause,[],[f31,f376,f312,f373]) ).
fof(f380,definition,
( spl0_36
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f393,definition,
( spl0_39
<=> ! [X95] :
( c1_1(X95)
| ~ c2_1(X95)
| ~ c0_1(X95) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f394,plain,
( ! [X95] :
( ~ c0_1(X95)
| ~ c2_1(X95)
| c1_1(X95) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f401,definition,
( spl0_41
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f403,plain,
( spl0_41
| spl0_30
| ~ spl0_19
| spl0_39 ),
inference(avatar_split_clause,[],[f211,f393,f312,f356,f401]) ).
fof(f405,definition,
( spl0_42
<=> ! [X89] :
( c1_1(X89)
| ~ c2_1(X89)
| c3_1(X89) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f406,plain,
( ! [X89] :
( c3_1(X89)
| ~ c2_1(X89)
| c1_1(X89) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,plain,
( spl0_14
| spl0_39
| ~ spl0_19
| spl0_42 ),
inference(avatar_split_clause,[],[f213,f405,f312,f393,f295]) ).
fof(f410,definition,
( spl0_43
<=> ! [X85] :
( c1_1(X85)
| ~ c0_1(X85)
| c3_1(X85) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f411,plain,
( ! [X85] :
( c3_1(X85)
| ~ c0_1(X85)
| c1_1(X85) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( spl0_36
| spl0_31
| ~ spl0_19
| spl0_43 ),
inference(avatar_split_clause,[],[f214,f410,f312,f360,f380]) ).
fof(f414,definition,
( spl0_44
<=> ! [X82] :
( c1_1(X82)
| ~ c3_1(X82)
| c2_1(X82) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f415,plain,
( ! [X82] :
( ~ c3_1(X82)
| c1_1(X82)
| c2_1(X82) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( spl0_23
| spl0_27
| ~ spl0_19
| spl0_44 ),
inference(avatar_split_clause,[],[f215,f414,f312,f344,f327]) ).
fof(f419,definition,
( spl0_45
<=> ! [X79] :
( c1_1(X79)
| ~ c0_1(X79)
| c2_1(X79) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f420,plain,
( ! [X79] :
( ~ c0_1(X79)
| c1_1(X79)
| c2_1(X79) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f421,plain,
( spl0_36
| spl0_1
| ~ spl0_19
| spl0_45 ),
inference(avatar_split_clause,[],[f44,f419,f312,f249,f380]) ).
fof(f427,definition,
( spl0_47
<=> ! [X77] :
( c1_1(X77)
| c3_1(X77)
| c2_1(X77) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f428,plain,
( ! [X77] :
( c3_1(X77)
| c1_1(X77)
| c2_1(X77) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f432,definition,
( spl0_48
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f434,plain,
( spl0_48
| spl0_30
| ~ spl0_19
| spl0_47 ),
inference(avatar_split_clause,[],[f217,f427,f312,f356,f432]) ).
fof(f436,plain,
( spl0_11
| spl0_44
| ~ spl0_19
| spl0_47 ),
inference(avatar_split_clause,[],[f219,f427,f312,f414,f284]) ).
fof(f444,definition,
( spl0_50
<=> ! [X64] :
( c0_1(X64)
| ~ c3_1(X64)
| ~ c1_1(X64) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f445,plain,
( ! [X64] :
( ~ c3_1(X64)
| c0_1(X64)
| ~ c1_1(X64) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( spl0_11
| spl0_39
| ~ spl0_19
| spl0_50 ),
inference(avatar_split_clause,[],[f221,f444,f312,f393,f284]) ).
fof(f462,definition,
( spl0_54
<=> ! [X53] :
( c0_1(X53)
| ~ c1_1(X53)
| c3_1(X53) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f463,plain,
( ! [X53] :
( c3_1(X53)
| ~ c1_1(X53)
| c0_1(X53) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( spl0_17
| spl0_33
| ~ spl0_19
| spl0_54 ),
inference(avatar_split_clause,[],[f225,f462,f312,f369,f305]) ).
fof(f470,definition,
( spl0_56
<=> ! [X48] :
( c0_1(X48)
| ~ c3_1(X48)
| c2_1(X48) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f471,plain,
( ! [X48] :
( ~ c3_1(X48)
| c0_1(X48)
| c2_1(X48) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( spl0_24
| spl0_33
| ~ spl0_19
| spl0_56 ),
inference(avatar_split_clause,[],[f227,f470,f312,f369,f331]) ).
fof(f473,plain,
( spl0_35
| spl0_45
| ~ spl0_19
| spl0_56 ),
inference(avatar_split_clause,[],[f228,f470,f312,f419,f376]) ).
fof(f477,definition,
( spl0_57
<=> ! [X39] :
( c0_1(X39)
| ~ c1_1(X39)
| c2_1(X39) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f478,plain,
( ! [X39] :
( c0_1(X39)
| ~ c1_1(X39)
| c2_1(X39) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,plain,
( spl0_23
| spl0_25
| ~ spl0_19
| spl0_57 ),
inference(avatar_split_clause,[],[f232,f477,f312,f334,f327]) ).
fof(f481,plain,
( spl0_21
| spl0_33
| ~ spl0_19
| spl0_57 ),
inference(avatar_split_clause,[],[f233,f477,f312,f369,f319]) ).
fof(f483,plain,
( spl0_31
| spl0_39
| ~ spl0_19
| spl0_57 ),
inference(avatar_split_clause,[],[f235,f477,f312,f393,f360]) ).
fof(f490,definition,
( spl0_59
<=> ! [X23] :
( c0_1(X23)
| ~ c3_1(X23)
| c1_1(X23) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f491,plain,
( ! [X23] :
( ~ c3_1(X23)
| c0_1(X23)
| c1_1(X23) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( spl0_1
| spl0_23
| ~ spl0_19
| spl0_59 ),
inference(avatar_split_clause,[],[f237,f490,f312,f327,f249]) ).
fof(f494,plain,
( spl0_17
| spl0_45
| ~ spl0_19
| spl0_59 ),
inference(avatar_split_clause,[],[f239,f490,f312,f419,f305]) ).
fof(f515,definition,
( spl0_63
<=> c2_1(a343) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f518,plain,
( spl0_63
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f86,f331,f515]) ).
fof(f520,definition,
( spl0_64
<=> c1_1(a343) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f522,plain,
( spl0_64
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f87,f331,f520]) ).
fof(f524,definition,
( spl0_65
<=> c0_1(a343) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f525,plain,
( c0_1(a343)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( spl0_65
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f88,f331,f524]) ).
fof(f544,definition,
( spl0_69
<=> c3_1(a333) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f545,plain,
( c3_1(a333)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,plain,
( spl0_69
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f94,f305,f544]) ).
fof(f549,definition,
( spl0_70
<=> c1_1(a333) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f551,plain,
( spl0_70
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f95,f305,f549]) ).
fof(f553,definition,
( spl0_71
<=> c0_1(a333) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f555,plain,
( spl0_71
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f96,f305,f553]) ).
fof(f558,definition,
( spl0_72
<=> c2_1(a419) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f561,plain,
( ~ spl0_72
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f98,f273,f558]) ).
fof(f563,definition,
( spl0_73
<=> c1_1(a419) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f565,plain,
( ~ spl0_73
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f99,f273,f563]) ).
fof(f567,definition,
( spl0_74
<=> c0_1(a419) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f568,plain,
( c0_1(a419)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( spl0_74
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f100,f273,f567]) ).
fof(f572,definition,
( spl0_75
<=> c2_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f575,plain,
( ~ spl0_75
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f102,f252,f572]) ).
fof(f577,definition,
( spl0_76
<=> c0_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f578,plain,
( ~ c0_1(a401)
| spl0_76 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f579,plain,
( ~ spl0_76
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f103,f252,f577]) ).
fof(f581,definition,
( spl0_77
<=> c1_1(a401) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f583,plain,
( spl0_77
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f104,f252,f581]) ).
fof(f584,plain,
( spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f105,f252,f312]) ).
fof(f600,definition,
( spl0_81
<=> c2_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f603,plain,
( ~ spl0_81
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f110,f380,f600]) ).
fof(f605,definition,
( spl0_82
<=> c1_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f607,plain,
( ~ spl0_82
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f111,f380,f605]) ).
fof(f609,definition,
( spl0_83
<=> c3_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f610,plain,
( c3_1(a367)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f611,plain,
( spl0_83
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f112,f380,f609]) ).
fof(f614,definition,
( spl0_84
<=> c2_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f617,plain,
( ~ spl0_84
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f114,f432,f614]) ).
fof(f619,definition,
( spl0_85
<=> c0_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f620,plain,
( ~ c0_1(a359)
| spl0_85 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( ~ spl0_85
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f115,f432,f619]) ).
fof(f623,definition,
( spl0_86
<=> c3_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f624,plain,
( c3_1(a359)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f625,plain,
( spl0_86
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f116,f432,f623]) ).
fof(f642,definition,
( spl0_90
<=> c3_1(a355) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f643,plain,
( ~ c3_1(a355)
| spl0_90 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f645,plain,
( ~ spl0_90
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f122,f401,f642]) ).
fof(f647,definition,
( spl0_91
<=> c2_1(a355) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f649,plain,
( spl0_91
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f123,f401,f647]) ).
fof(f651,definition,
( spl0_92
<=> c1_1(a355) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f653,plain,
( spl0_92
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f124,f401,f651]) ).
fof(f684,definition,
( spl0_99
<=> c2_1(a349) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f687,plain,
( ~ spl0_99
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f134,f277,f684]) ).
fof(f689,definition,
( spl0_100
<=> c3_1(a349) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f690,plain,
( c3_1(a349)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f691,plain,
( spl0_100
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f135,f277,f689]) ).
fof(f693,definition,
( spl0_101
<=> c1_1(a349) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f695,plain,
( spl0_101
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f136,f277,f693]) ).
fof(f698,definition,
( spl0_102
<=> c3_1(a348) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f699,plain,
( ~ c3_1(a348)
| spl0_102 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f701,plain,
( ~ spl0_102
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f138,f373,f698]) ).
fof(f703,definition,
( spl0_103
<=> c1_1(a348) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f705,plain,
( ~ spl0_103
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f139,f373,f703]) ).
fof(f707,definition,
( spl0_104
<=> c0_1(a348) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f708,plain,
( c0_1(a348)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( spl0_104
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f140,f373,f707]) ).
fof(f726,definition,
( spl0_108
<=> c3_1(a346) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f727,plain,
( ~ c3_1(a346)
| spl0_108 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( ~ spl0_108
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f146,f288,f726]) ).
fof(f731,definition,
( spl0_109
<=> c2_1(a346) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f733,plain,
( spl0_109
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f147,f288,f731]) ).
fof(f735,definition,
( spl0_110
<=> c0_1(a346) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f736,plain,
( c0_1(a346)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( spl0_110
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f148,f288,f735]) ).
fof(f740,definition,
( spl0_111
<=> c2_1(a345) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f743,plain,
( ~ spl0_111
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f150,f284,f740]) ).
fof(f745,definition,
( spl0_112
<=> c3_1(a345) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f746,plain,
( c3_1(a345)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f747,plain,
( spl0_112
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f151,f284,f745]) ).
fof(f749,definition,
( spl0_113
<=> c0_1(a345) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f751,plain,
( spl0_113
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f152,f284,f749]) ).
fof(f768,definition,
( spl0_117
<=> c3_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f769,plain,
( ~ c3_1(a337)
| spl0_117 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,plain,
( ~ spl0_117
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f158,f309,f768]) ).
fof(f773,definition,
( spl0_118
<=> c2_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f775,plain,
( ~ spl0_118
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f159,f309,f773]) ).
fof(f777,definition,
( spl0_119
<=> c0_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f778,plain,
( c0_1(a337)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f779,plain,
( spl0_119
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f160,f309,f777]) ).
fof(f796,definition,
( spl0_123
<=> c3_1(a332) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f797,plain,
( ~ c3_1(a332)
| spl0_123 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f799,plain,
( ~ spl0_123
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f166,f266,f796]) ).
fof(f801,definition,
( spl0_124
<=> c2_1(a332) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f803,plain,
( ~ spl0_124
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f167,f266,f801]) ).
fof(f805,definition,
( spl0_125
<=> c0_1(a332) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f806,plain,
( ~ c0_1(a332)
| spl0_125 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f807,plain,
( ~ spl0_125
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f168,f266,f805]) ).
fof(f810,definition,
( spl0_126
<=> c1_1(a330) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f813,plain,
( ~ spl0_126
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f170,f249,f810]) ).
fof(f815,definition,
( spl0_127
<=> c0_1(a330) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f817,plain,
( ~ spl0_127
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f171,f249,f815]) ).
fof(f819,definition,
( spl0_128
<=> c3_1(a330) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f820,plain,
( c3_1(a330)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f821,plain,
( spl0_128
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f172,f249,f819]) ).
fof(f822,plain,
( spl0_19
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f173,f249,f312]) ).
fof(f838,definition,
( spl0_132
<=> c3_1(a327) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f839,plain,
( ~ c3_1(a327)
| spl0_132 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( ~ spl0_132
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f178,f295,f838]) ).
fof(f843,definition,
( spl0_133
<=> c1_1(a327) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f845,plain,
( spl0_133
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f179,f295,f843]) ).
fof(f847,definition,
( spl0_134
<=> c0_1(a327) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f848,plain,
( c0_1(a327)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( spl0_134
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f180,f295,f847]) ).
fof(f852,definition,
( spl0_135
<=> c1_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f855,plain,
( ~ spl0_135
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f182,f291,f852]) ).
fof(f857,definition,
( spl0_136
<=> c2_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f859,plain,
( spl0_136
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f183,f291,f857]) ).
fof(f861,definition,
( spl0_137
<=> c0_1(a326) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f862,plain,
( c0_1(a326)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f863,plain,
( spl0_137
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f184,f291,f861]) ).
fof(f866,definition,
( spl0_138
<=> c2_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f869,plain,
( ~ spl0_138
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f186,f298,f866]) ).
fof(f871,definition,
( spl0_139
<=> c1_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f873,plain,
( spl0_139
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f187,f298,f871]) ).
fof(f875,definition,
( spl0_140
<=> c0_1(a325) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f876,plain,
( c0_1(a325)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f877,plain,
( spl0_140
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f188,f298,f875]) ).
fof(f925,definition,
( spl0_150
<=> c2_1(a327) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f930,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_21
| ~ spl0_25 ),
inference(resolution,[],[f335,f320]) ).
fof(f933,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_21
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f938,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_20
| ~ spl0_26 ),
inference(resolution,[],[f339,f316]) ).
fof(f939,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_20
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f938]) ).
fof(f949,plain,
( ~ c2_1(a343)
| ~ c1_1(a343)
| ~ spl0_23
| ~ spl0_65 ),
inference(resolution,[],[f525,f328]) ).
fof(f953,plain,
( spl0_23
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f939,f338,f315,f327]) ).
fof(f954,plain,
( spl0_23
| ~ spl0_21
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f933,f334,f319,f327]) ).
fof(f964,plain,
( ~ c2_1(a327)
| ~ c1_1(a327)
| ~ spl0_23
| ~ spl0_134 ),
inference(resolution,[],[f328,f848]) ).
fof(f966,plain,
( ~ c2_1(a327)
| ~ c1_1(a327)
| ~ spl0_25
| spl0_132 ),
inference(resolution,[],[f335,f839]) ).
fof(f977,plain,
( ~ c2_1(a346)
| ~ c1_1(a346)
| ~ spl0_25
| spl0_108 ),
inference(resolution,[],[f727,f335]) ).
fof(f983,definition,
( spl0_152
<=> c1_1(a346) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f985,plain,
( ~ spl0_152
| ~ spl0_109
| ~ spl0_25
| spl0_108 ),
inference(avatar_split_clause,[],[f977,f726,f334,f731,f983]) ).
fof(f995,definition,
( spl0_153
<=> c1_1(a337) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1012,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f361,f345]) ).
fof(f1016,plain,
( ~ c0_1(a327)
| c2_1(a327)
| ~ spl0_31
| spl0_132 ),
inference(resolution,[],[f361,f839]) ).
fof(f1018,plain,
( ~ c0_1(a337)
| c2_1(a337)
| ~ spl0_31
| spl0_117 ),
inference(resolution,[],[f361,f769]) ).
fof(f1021,plain,
( ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_27
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f1012]) ).
fof(f1037,plain,
( ~ c2_1(a346)
| ~ c0_1(a346)
| ~ spl0_26
| spl0_108 ),
inference(resolution,[],[f339,f727]) ).
fof(f1040,plain,
( ~ spl0_110
| ~ spl0_109
| ~ spl0_26
| spl0_108 ),
inference(avatar_split_clause,[],[f1037,f726,f338,f731,f735]) ).
fof(f1057,plain,
( c2_1(a345)
| ~ c0_1(a345)
| ~ spl0_33
| ~ spl0_112 ),
inference(resolution,[],[f746,f370]) ).
fof(f1068,plain,
( ~ c2_1(a348)
| ~ c0_1(a348)
| ~ spl0_26
| spl0_102 ),
inference(resolution,[],[f699,f339]) ).
fof(f1072,definition,
( spl0_156
<=> c2_1(a348) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1078,plain,
( ~ spl0_104
| ~ spl0_156
| ~ spl0_26
| spl0_102 ),
inference(avatar_split_clause,[],[f1068,f698,f338,f1072,f707]) ).
fof(f1093,plain,
( c2_1(a367)
| ~ c0_1(a367)
| ~ spl0_33
| ~ spl0_83 ),
inference(resolution,[],[f610,f370]) ).
fof(f1097,definition,
( spl0_158
<=> c0_1(a367) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1100,plain,
( ~ spl0_158
| spl0_81
| ~ spl0_33
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1093,f609,f369,f600,f1097]) ).
fof(f1118,plain,
( ~ c2_1(a326)
| c1_1(a326)
| ~ spl0_39
| ~ spl0_137 ),
inference(resolution,[],[f394,f862]) ).
fof(f1128,plain,
( spl0_135
| ~ spl0_136
| ~ spl0_39
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1118,f861,f393,f857,f852]) ).
fof(f1130,plain,
( ~ c2_1(a355)
| ~ c1_1(a355)
| ~ spl0_25
| spl0_90 ),
inference(resolution,[],[f643,f335]) ).
fof(f1133,plain,
( ~ spl0_92
| ~ spl0_91
| ~ spl0_25
| spl0_90 ),
inference(avatar_split_clause,[],[f1130,f642,f334,f647,f651]) ).
fof(f1146,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_30
| ~ spl0_33 ),
inference(resolution,[],[f357,f370]) ).
fof(f1148,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_21
| ~ spl0_30 ),
inference(resolution,[],[f357,f320]) ).
fof(f1156,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
| ~ spl0_21
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1158,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_30
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f1146]) ).
fof(f1168,plain,
( ~ c2_1(a348)
| c1_1(a348)
| ~ spl0_42
| spl0_102 ),
inference(resolution,[],[f406,f699]) ).
fof(f1172,plain,
( spl0_103
| ~ spl0_156
| ~ spl0_42
| spl0_102 ),
inference(avatar_split_clause,[],[f1168,f698,f405,f1072,f703]) ).
fof(f1180,plain,
( c2_1(a349)
| ~ c0_1(a349)
| ~ spl0_33
| ~ spl0_100 ),
inference(resolution,[],[f690,f370]) ).
fof(f1186,definition,
( spl0_161
<=> c0_1(a349) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1193,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[],[f324,f335]) ).
fof(f1199,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_22
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1193]) ).
fof(f1204,plain,
( spl0_23
| ~ spl0_22
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1199,f334,f323,f327]) ).
fof(f1207,plain,
( spl0_23
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1156,f356,f319,f327]) ).
fof(f1209,plain,
( ~ spl0_64
| ~ spl0_63
| ~ spl0_23
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f949,f524,f327,f515,f520]) ).
fof(f1210,plain,
( ~ spl0_133
| ~ spl0_150
| ~ spl0_23
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f964,f847,f327,f925,f843]) ).
fof(f1218,plain,
( ~ spl0_133
| ~ spl0_150
| ~ spl0_25
| spl0_132 ),
inference(avatar_split_clause,[],[f966,f838,f334,f925,f843]) ).
fof(f1280,plain,
( ~ c2_1(a348)
| c1_1(a348)
| ~ spl0_39
| ~ spl0_104 ),
inference(resolution,[],[f394,f708]) ).
fof(f1283,plain,
( spl0_103
| ~ spl0_156
| ~ spl0_39
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1280,f707,f393,f1072,f703]) ).
fof(f1284,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
| ~ spl0_31
| ~ spl0_44 ),
inference(resolution,[],[f415,f361]) ).
fof(f1290,plain,
( c1_1(a367)
| c2_1(a367)
| ~ spl0_44
| ~ spl0_83 ),
inference(resolution,[],[f415,f610]) ).
fof(f1293,plain,
( ! [X0] :
( c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) )
| ~ spl0_31
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f1284]) ).
fof(f1294,plain,
( spl0_81
| spl0_82
| ~ spl0_44
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1290,f609,f414,f605,f600]) ).
fof(f1296,plain,
( spl0_45
| ~ spl0_31
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1293,f414,f360,f419]) ).
fof(f1299,plain,
( c1_1(a337)
| c2_1(a337)
| ~ spl0_45
| ~ spl0_119 ),
inference(resolution,[],[f420,f778]) ).
fof(f1302,plain,
( c1_1(a419)
| c2_1(a419)
| ~ spl0_45
| ~ spl0_74 ),
inference(resolution,[],[f420,f568]) ).
fof(f1306,plain,
( spl0_72
| spl0_73
| ~ spl0_45
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1302,f567,f419,f563,f558]) ).
fof(f1310,plain,
( spl0_118
| spl0_153
| ~ spl0_45
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1299,f777,f419,f995,f773]) ).
fof(f1316,plain,
( c1_1(a332)
| c2_1(a332)
| ~ spl0_47
| spl0_123 ),
inference(resolution,[],[f428,f797]) ).
fof(f1326,definition,
( spl0_163
<=> c1_1(a332) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1345,plain,
( c1_1(a359)
| c2_1(a359)
| ~ spl0_44
| ~ spl0_86 ),
inference(resolution,[],[f624,f415]) ).
fof(f1351,definition,
( spl0_165
<=> c1_1(a359) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1353,plain,
( spl0_84
| spl0_165
| ~ spl0_44
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1345,f623,f414,f1351,f614]) ).
fof(f1371,plain,
( ~ c0_1(a337)
| c1_1(a337)
| ~ spl0_43
| spl0_117 ),
inference(resolution,[],[f411,f769]) ).
fof(f1378,plain,
( spl0_153
| ~ spl0_119
| ~ spl0_43
| spl0_117 ),
inference(avatar_split_clause,[],[f1371,f768,f410,f777,f995]) ).
fof(f1391,plain,
( c0_1(a349)
| ~ c1_1(a349)
| ~ spl0_50
| ~ spl0_100 ),
inference(resolution,[],[f445,f690]) ).
fof(f1392,plain,
( c0_1(a359)
| ~ c1_1(a359)
| ~ spl0_50
| ~ spl0_86 ),
inference(resolution,[],[f445,f624]) ).
fof(f1464,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl0_54
| ~ spl0_56 ),
inference(resolution,[],[f471,f463]) ).
fof(f1470,plain,
( c0_1(a359)
| c2_1(a359)
| ~ spl0_56
| ~ spl0_86 ),
inference(resolution,[],[f471,f624]) ).
fof(f1473,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_54
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f1464]) ).
fof(f1477,plain,
( spl0_57
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1473,f470,f462,f477]) ).
fof(f1481,plain,
( ~ c1_1(a332)
| c2_1(a332)
| ~ spl0_57
| spl0_125 ),
inference(resolution,[],[f478,f806]) ).
fof(f1487,plain,
( ~ c1_1(a401)
| c2_1(a401)
| ~ spl0_57
| spl0_76 ),
inference(resolution,[],[f478,f578]) ).
fof(f1493,plain,
( spl0_75
| ~ spl0_77
| ~ spl0_57
| spl0_76 ),
inference(avatar_split_clause,[],[f1487,f577,f477,f581,f572]) ).
fof(f1496,plain,
( spl0_124
| ~ spl0_163
| ~ spl0_57
| spl0_125 ),
inference(avatar_split_clause,[],[f1481,f805,f477,f1326,f801]) ).
fof(f1497,plain,
( spl0_28
| ~ spl0_30
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1158,f369,f356,f348]) ).
fof(f1501,plain,
( ~ spl0_161
| spl0_99
| ~ spl0_33
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1180,f689,f369,f684,f1186]) ).
fof(f1502,plain,
( ~ spl0_113
| spl0_111
| ~ spl0_33
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1057,f745,f369,f740,f749]) ).
fof(f1513,plain,
( spl0_150
| ~ spl0_134
| ~ spl0_31
| spl0_132 ),
inference(avatar_split_clause,[],[f1016,f838,f360,f847,f925]) ).
fof(f1522,plain,
( spl0_84
| spl0_85
| ~ spl0_56
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1470,f623,f470,f619,f614]) ).
fof(f1535,plain,
( spl0_124
| spl0_163
| ~ spl0_47
| spl0_123 ),
inference(avatar_split_clause,[],[f1316,f796,f427,f1326,f801]) ).
fof(f1541,plain,
( ~ c1_1(a333)
| ~ c2_1(a333)
| ~ spl0_20
| ~ spl0_69 ),
inference(resolution,[],[f545,f316]) ).
fof(f1547,definition,
( spl0_166
<=> c2_1(a333) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1556,plain,
( ~ spl0_166
| ~ spl0_70
| ~ spl0_20
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1541,f544,f315,f549,f1547]) ).
fof(f1580,plain,
( ~ c2_1(a346)
| c1_1(a346)
| ~ spl0_39
| ~ spl0_110 ),
inference(resolution,[],[f736,f394]) ).
fof(f1581,plain,
( spl0_152
| ~ spl0_109
| ~ spl0_39
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1580,f735,f393,f731,f983]) ).
fof(f1582,plain,
( ~ spl0_165
| spl0_85
| ~ spl0_50
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1392,f623,f444,f619,f1351]) ).
fof(f1585,plain,
( ~ spl0_101
| spl0_161
| ~ spl0_50
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1391,f689,f444,f1186,f693]) ).
fof(f1592,plain,
( c1_1(a330)
| c2_1(a330)
| ~ spl0_44
| ~ spl0_128 ),
inference(resolution,[],[f820,f415]) ).
fof(f1595,definition,
( spl0_168
<=> c2_1(a330) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1601,plain,
( spl0_168
| spl0_126
| ~ spl0_44
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1592,f819,f414,f810,f1595]) ).
fof(f1606,plain,
( c1_1(a348)
| c2_1(a348)
| ~ spl0_45
| ~ spl0_104 ),
inference(resolution,[],[f708,f420]) ).
fof(f1607,plain,
( spl0_156
| spl0_103
| ~ spl0_45
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1606,f707,f419,f703,f1072]) ).
fof(f1614,plain,
( ~ c1_1(a327)
| ~ c0_1(a327)
| ~ spl0_30
| spl0_132 ),
inference(resolution,[],[f357,f839]) ).
fof(f1626,plain,
( ~ spl0_134
| ~ spl0_133
| ~ spl0_30
| spl0_132 ),
inference(avatar_split_clause,[],[f1614,f838,f356,f843,f847]) ).
fof(f1646,plain,
( ~ c1_1(a359)
| c2_1(a359)
| ~ spl0_57
| spl0_85 ),
inference(resolution,[],[f620,f478]) ).
fof(f1647,plain,
( spl0_84
| ~ spl0_165
| ~ spl0_57
| spl0_85 ),
inference(avatar_split_clause,[],[f1646,f619,f477,f1351,f614]) ).
fof(f1654,plain,
( ~ c0_1(a333)
| ~ c2_1(a333)
| ~ spl0_21
| ~ spl0_69 ),
inference(resolution,[],[f320,f545]) ).
fof(f1657,plain,
( ~ spl0_166
| ~ spl0_71
| ~ spl0_21
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1654,f544,f319,f553,f1547]) ).
fof(f1661,plain,
( c2_1(a349)
| ~ c1_1(a349)
| ~ spl0_27
| ~ spl0_100 ),
inference(resolution,[],[f345,f690]) ).
fof(f1665,plain,
( c2_1(a333)
| ~ c1_1(a333)
| ~ spl0_27
| ~ spl0_69 ),
inference(resolution,[],[f345,f545]) ).
fof(f1667,plain,
( ~ spl0_70
| spl0_166
| ~ spl0_27
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1665,f544,f344,f1547,f549]) ).
fof(f1670,plain,
( ~ spl0_101
| spl0_99
| ~ spl0_27
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1661,f689,f344,f684,f693]) ).
fof(f1676,plain,
( ~ c1_1(a325)
| c2_1(a325)
| ~ spl0_28
| ~ spl0_140 ),
inference(resolution,[],[f349,f876]) ).
fof(f1678,plain,
( ~ c1_1(a327)
| c2_1(a327)
| ~ spl0_28
| ~ spl0_134 ),
inference(resolution,[],[f349,f848]) ).
fof(f1679,plain,
( ~ c1_1(a337)
| c2_1(a337)
| ~ spl0_28
| ~ spl0_119 ),
inference(resolution,[],[f349,f778]) ).
fof(f1687,plain,
( spl0_118
| ~ spl0_153
| ~ spl0_28
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1679,f777,f348,f995,f773]) ).
fof(f1688,plain,
( spl0_150
| ~ spl0_133
| ~ spl0_28
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1678,f847,f348,f843,f925]) ).
fof(f1689,plain,
( spl0_138
| ~ spl0_139
| ~ spl0_28
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1676,f875,f348,f871,f866]) ).
fof(f1690,plain,
( c1_1(a330)
| ~ c2_1(a330)
| ~ spl0_35
| ~ spl0_128 ),
inference(resolution,[],[f377,f820]) ).
fof(f1697,plain,
( ~ spl0_168
| spl0_126
| ~ spl0_35
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1690,f819,f376,f810,f1595]) ).
fof(f1750,plain,
( c0_1(a330)
| c1_1(a330)
| ~ spl0_59
| ~ spl0_128 ),
inference(resolution,[],[f491,f820]) ).
fof(f1754,plain,
( c0_1(a367)
| c1_1(a367)
| ~ spl0_59
| ~ spl0_83 ),
inference(resolution,[],[f491,f610]) ).
fof(f1759,plain,
( spl0_82
| spl0_158
| ~ spl0_59
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1754,f609,f490,f1097,f605]) ).
fof(f1762,plain,
( spl0_126
| spl0_127
| ~ spl0_59
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1750,f819,f490,f815,f810]) ).
fof(f1765,plain,
( spl0_28
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1021,f360,f344,f348]) ).
fof(f1767,plain,
( spl0_118
| ~ spl0_119
| ~ spl0_31
| spl0_117 ),
inference(avatar_split_clause,[],[f1018,f768,f360,f777,f773]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f254]) ).
cnf(s5,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f279]) ).
cnf(s10,plain,
( spl0_15
| spl0_18
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f317]) ).
cnf(s11,plain,
( spl0_9
| spl0_14
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f321]) ).
cnf(s12,plain,
( spl0_18
| ~ spl0_19
| spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f325]) ).
cnf(s14,plain,
( spl0_1
| ~ spl0_19
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f336]) ).
cnf(s16,plain,
( spl0_9
| spl0_13
| ~ spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f341]) ).
cnf(s17,plain,
( spl0_15
| spl0_18
| ~ spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f342]) ).
cnf(s18,plain,
( ~ spl0_19
| spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f346]) ).
cnf(s19,plain,
( spl0_11
| spl0_12
| ~ spl0_19
| spl0_28 ),
inference(sat_conversion,[],[f350]) ).
cnf(s21,plain,
( spl0_6
| ~ spl0_19
| spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f358]) ).
cnf(s22,plain,
( spl0_6
| spl0_15
| ~ spl0_19
| spl0_31 ),
inference(sat_conversion,[],[f362]) ).
cnf(s24,plain,
( spl0_18
| ~ spl0_19
| spl0_23
| spl0_31 ),
inference(sat_conversion,[],[f367]) ).
cnf(s25,plain,
( ~ spl0_19
| spl0_21
| spl0_31
| spl0_33 ),
inference(sat_conversion,[],[f371]) ).
cnf(s26,plain,
( ~ spl0_19
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f378]) ).
cnf(s33,plain,
( ~ spl0_19
| spl0_30
| spl0_39
| spl0_41 ),
inference(sat_conversion,[],[f403]) ).
cnf(s35,plain,
( spl0_14
| ~ spl0_19
| spl0_39
| spl0_42 ),
inference(sat_conversion,[],[f408]) ).
cnf(s36,plain,
( ~ spl0_19
| spl0_31
| spl0_36
| spl0_43 ),
inference(sat_conversion,[],[f412]) ).
cnf(s37,plain,
( ~ spl0_19
| spl0_23
| spl0_27
| spl0_44 ),
inference(sat_conversion,[],[f416]) ).
cnf(s39,plain,
( spl0_1
| ~ spl0_19
| spl0_36
| spl0_45 ),
inference(sat_conversion,[],[f421]) ).
cnf(s43,plain,
( ~ spl0_19
| spl0_30
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f434]) ).
cnf(s45,plain,
( spl0_11
| ~ spl0_19
| spl0_44
| spl0_47 ),
inference(sat_conversion,[],[f436]) ).
cnf(s49,plain,
( spl0_11
| ~ spl0_19
| spl0_39
| spl0_50 ),
inference(sat_conversion,[],[f446]) ).
cnf(s55,plain,
( spl0_17
| ~ spl0_19
| spl0_33
| spl0_54 ),
inference(sat_conversion,[],[f464]) ).
cnf(s57,plain,
( ~ spl0_19
| spl0_24
| spl0_33
| spl0_56 ),
inference(sat_conversion,[],[f472]) ).
cnf(s58,plain,
( ~ spl0_19
| spl0_35
| spl0_45
| spl0_56 ),
inference(sat_conversion,[],[f473]) ).
cnf(s62,plain,
( ~ spl0_19
| spl0_23
| spl0_25
| spl0_57 ),
inference(sat_conversion,[],[f480]) ).
cnf(s63,plain,
( ~ spl0_19
| spl0_21
| spl0_33
| spl0_57 ),
inference(sat_conversion,[],[f481]) ).
cnf(s65,plain,
( ~ spl0_19
| spl0_31
| spl0_39
| spl0_57 ),
inference(sat_conversion,[],[f483]) ).
cnf(s68,plain,
( spl0_1
| ~ spl0_19
| spl0_23
| spl0_59 ),
inference(sat_conversion,[],[f492]) ).
cnf(s70,plain,
( spl0_17
| ~ spl0_19
| spl0_45
| spl0_59 ),
inference(sat_conversion,[],[f494]) ).
cnf(s81,plain,
( ~ spl0_24
| spl0_63 ),
inference(sat_conversion,[],[f518]) ).
cnf(s82,plain,
( ~ spl0_24
| spl0_64 ),
inference(sat_conversion,[],[f522]) ).
cnf(s83,plain,
( ~ spl0_24
| spl0_65 ),
inference(sat_conversion,[],[f526]) ).
cnf(s89,plain,
( ~ spl0_17
| spl0_69 ),
inference(sat_conversion,[],[f547]) ).
cnf(s90,plain,
( ~ spl0_17
| spl0_70 ),
inference(sat_conversion,[],[f551]) ).
cnf(s91,plain,
( ~ spl0_17
| spl0_71 ),
inference(sat_conversion,[],[f555]) ).
cnf(s93,plain,
( ~ spl0_8
| ~ spl0_72 ),
inference(sat_conversion,[],[f561]) ).
cnf(s94,plain,
( ~ spl0_8
| ~ spl0_73 ),
inference(sat_conversion,[],[f565]) ).
cnf(s95,plain,
( ~ spl0_8
| spl0_74 ),
inference(sat_conversion,[],[f569]) ).
cnf(s97,plain,
( ~ spl0_2
| ~ spl0_75 ),
inference(sat_conversion,[],[f575]) ).
cnf(s98,plain,
( ~ spl0_2
| ~ spl0_76 ),
inference(sat_conversion,[],[f579]) ).
cnf(s99,plain,
( ~ spl0_2
| spl0_77 ),
inference(sat_conversion,[],[f583]) ).
cnf(s100,plain,
( ~ spl0_2
| spl0_19 ),
inference(sat_conversion,[],[f584]) ).
cnf(s105,plain,
( ~ spl0_36
| ~ spl0_81 ),
inference(sat_conversion,[],[f603]) ).
cnf(s106,plain,
( ~ spl0_36
| ~ spl0_82 ),
inference(sat_conversion,[],[f607]) ).
cnf(s107,plain,
( ~ spl0_36
| spl0_83 ),
inference(sat_conversion,[],[f611]) ).
cnf(s109,plain,
( ~ spl0_48
| ~ spl0_84 ),
inference(sat_conversion,[],[f617]) ).
cnf(s110,plain,
( ~ spl0_48
| ~ spl0_85 ),
inference(sat_conversion,[],[f621]) ).
cnf(s111,plain,
( ~ spl0_48
| spl0_86 ),
inference(sat_conversion,[],[f625]) ).
cnf(s117,plain,
( ~ spl0_41
| ~ spl0_90 ),
inference(sat_conversion,[],[f645]) ).
cnf(s118,plain,
( ~ spl0_41
| spl0_91 ),
inference(sat_conversion,[],[f649]) ).
cnf(s119,plain,
( ~ spl0_41
| spl0_92 ),
inference(sat_conversion,[],[f653]) ).
cnf(s129,plain,
( ~ spl0_9
| ~ spl0_99 ),
inference(sat_conversion,[],[f687]) ).
cnf(s130,plain,
( ~ spl0_9
| spl0_100 ),
inference(sat_conversion,[],[f691]) ).
cnf(s131,plain,
( ~ spl0_9
| spl0_101 ),
inference(sat_conversion,[],[f695]) ).
cnf(s133,plain,
( ~ spl0_34
| ~ spl0_102 ),
inference(sat_conversion,[],[f701]) ).
cnf(s134,plain,
( ~ spl0_34
| ~ spl0_103 ),
inference(sat_conversion,[],[f705]) ).
cnf(s135,plain,
( ~ spl0_34
| spl0_104 ),
inference(sat_conversion,[],[f709]) ).
cnf(s141,plain,
( ~ spl0_12
| ~ spl0_108 ),
inference(sat_conversion,[],[f729]) ).
cnf(s142,plain,
( ~ spl0_12
| spl0_109 ),
inference(sat_conversion,[],[f733]) ).
cnf(s143,plain,
( ~ spl0_12
| spl0_110 ),
inference(sat_conversion,[],[f737]) ).
cnf(s145,plain,
( ~ spl0_11
| ~ spl0_111 ),
inference(sat_conversion,[],[f743]) ).
cnf(s146,plain,
( ~ spl0_11
| spl0_112 ),
inference(sat_conversion,[],[f747]) ).
cnf(s147,plain,
( ~ spl0_11
| spl0_113 ),
inference(sat_conversion,[],[f751]) ).
cnf(s153,plain,
( ~ spl0_18
| ~ spl0_117 ),
inference(sat_conversion,[],[f771]) ).
cnf(s154,plain,
( ~ spl0_18
| ~ spl0_118 ),
inference(sat_conversion,[],[f775]) ).
cnf(s155,plain,
( ~ spl0_18
| spl0_119 ),
inference(sat_conversion,[],[f779]) ).
cnf(s161,plain,
( ~ spl0_6
| ~ spl0_123 ),
inference(sat_conversion,[],[f799]) ).
cnf(s162,plain,
( ~ spl0_6
| ~ spl0_124 ),
inference(sat_conversion,[],[f803]) ).
cnf(s163,plain,
( ~ spl0_6
| ~ spl0_125 ),
inference(sat_conversion,[],[f807]) ).
cnf(s165,plain,
( ~ spl0_1
| ~ spl0_126 ),
inference(sat_conversion,[],[f813]) ).
cnf(s166,plain,
( ~ spl0_1
| ~ spl0_127 ),
inference(sat_conversion,[],[f817]) ).
cnf(s167,plain,
( ~ spl0_1
| spl0_128 ),
inference(sat_conversion,[],[f821]) ).
cnf(s168,plain,
( ~ spl0_1
| spl0_19 ),
inference(sat_conversion,[],[f822]) ).
cnf(s173,plain,
( ~ spl0_14
| ~ spl0_132 ),
inference(sat_conversion,[],[f841]) ).
cnf(s174,plain,
( ~ spl0_14
| spl0_133 ),
inference(sat_conversion,[],[f845]) ).
cnf(s175,plain,
( ~ spl0_14
| spl0_134 ),
inference(sat_conversion,[],[f849]) ).
cnf(s177,plain,
( ~ spl0_13
| ~ spl0_135 ),
inference(sat_conversion,[],[f855]) ).
cnf(s178,plain,
( ~ spl0_13
| spl0_136 ),
inference(sat_conversion,[],[f859]) ).
cnf(s179,plain,
( ~ spl0_13
| spl0_137 ),
inference(sat_conversion,[],[f863]) ).
cnf(s181,plain,
( ~ spl0_15
| ~ spl0_138 ),
inference(sat_conversion,[],[f869]) ).
cnf(s182,plain,
( ~ spl0_15
| spl0_139 ),
inference(sat_conversion,[],[f873]) ).
cnf(s183,plain,
( ~ spl0_15
| spl0_140 ),
inference(sat_conversion,[],[f877]) ).
cnf(s201,plain,
( ~ spl0_20
| spl0_23
| ~ spl0_26 ),
inference(sat_conversion,[],[f953]) ).
cnf(s202,plain,
( ~ spl0_21
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f954]) ).
cnf(s206,plain,
( ~ spl0_25
| spl0_108
| ~ spl0_109
| ~ spl0_152 ),
inference(sat_conversion,[],[f985]) ).
cnf(s221,plain,
( ~ spl0_26
| spl0_108
| ~ spl0_109
| ~ spl0_110 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s228,plain,
( ~ spl0_26
| spl0_102
| ~ spl0_104
| ~ spl0_156 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s234,plain,
( ~ spl0_33
| spl0_81
| ~ spl0_83
| ~ spl0_158 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s241,plain,
( ~ spl0_39
| spl0_135
| ~ spl0_136
| ~ spl0_137 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s242,plain,
( ~ spl0_25
| spl0_90
| ~ spl0_91
| ~ spl0_92 ),
inference(sat_conversion,[],[f1133]) ).
cnf(s248,plain,
( ~ spl0_42
| spl0_102
| spl0_103
| ~ spl0_156 ),
inference(sat_conversion,[],[f1172]) ).
cnf(s257,plain,
( ~ spl0_22
| spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s263,plain,
( ~ spl0_21
| spl0_23
| ~ spl0_30 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s265,plain,
( ~ spl0_23
| ~ spl0_63
| ~ spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s266,plain,
( ~ spl0_23
| ~ spl0_133
| ~ spl0_134
| ~ spl0_150 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s275,plain,
( ~ spl0_25
| spl0_132
| ~ spl0_133
| ~ spl0_150 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s291,plain,
( ~ spl0_39
| spl0_103
| ~ spl0_104
| ~ spl0_156 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s292,plain,
( ~ spl0_44
| spl0_81
| spl0_82
| ~ spl0_83 ),
inference(sat_conversion,[],[f1294]) ).
cnf(s294,plain,
( ~ spl0_31
| ~ spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s295,plain,
( ~ spl0_45
| spl0_72
| spl0_73
| ~ spl0_74 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s298,plain,
( ~ spl0_45
| spl0_118
| ~ spl0_119
| spl0_153 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s308,plain,
( ~ spl0_44
| spl0_84
| ~ spl0_86
| spl0_165 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s309,plain,
( ~ spl0_43
| spl0_117
| ~ spl0_119
| spl0_153 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s329,plain,
( ~ spl0_54
| ~ spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s331,plain,
( ~ spl0_57
| spl0_75
| spl0_76
| ~ spl0_77 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s334,plain,
( ~ spl0_57
| spl0_124
| spl0_125
| ~ spl0_163 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s335,plain,
( spl0_28
| ~ spl0_30
| ~ spl0_33 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s339,plain,
( ~ spl0_33
| spl0_99
| ~ spl0_100
| ~ spl0_161 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s340,plain,
( ~ spl0_33
| spl0_111
| ~ spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s351,plain,
( ~ spl0_31
| spl0_132
| ~ spl0_134
| spl0_150 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s361,plain,
( ~ spl0_56
| spl0_84
| spl0_85
| ~ spl0_86 ),
inference(sat_conversion,[],[f1522]) ).
cnf(s374,plain,
( ~ spl0_47
| spl0_123
| spl0_124
| spl0_163 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s384,plain,
( ~ spl0_20
| ~ spl0_69
| ~ spl0_70
| ~ spl0_166 ),
inference(sat_conversion,[],[f1556]) ).
cnf(s392,plain,
( ~ spl0_39
| ~ spl0_109
| ~ spl0_110
| spl0_152 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s393,plain,
( ~ spl0_50
| spl0_85
| ~ spl0_86
| ~ spl0_165 ),
inference(sat_conversion,[],[f1582]) ).
cnf(s396,plain,
( ~ spl0_50
| ~ spl0_100
| ~ spl0_101
| spl0_161 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s398,plain,
( ~ spl0_44
| spl0_126
| ~ spl0_128
| spl0_168 ),
inference(sat_conversion,[],[f1601]) ).
cnf(s403,plain,
( ~ spl0_45
| spl0_103
| ~ spl0_104
| spl0_156 ),
inference(sat_conversion,[],[f1607]) ).
cnf(s407,plain,
( ~ spl0_30
| spl0_132
| ~ spl0_133
| ~ spl0_134 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s427,plain,
( ~ spl0_57
| spl0_84
| spl0_85
| ~ spl0_165 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s429,plain,
( ~ spl0_21
| ~ spl0_69
| ~ spl0_71
| ~ spl0_166 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s431,plain,
( ~ spl0_27
| ~ spl0_69
| ~ spl0_70
| spl0_166 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s434,plain,
( ~ spl0_27
| spl0_99
| ~ spl0_100
| ~ spl0_101 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s440,plain,
( ~ spl0_28
| spl0_118
| ~ spl0_119
| ~ spl0_153 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s441,plain,
( ~ spl0_28
| ~ spl0_133
| ~ spl0_134
| spl0_150 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s442,plain,
( ~ spl0_28
| spl0_138
| ~ spl0_139
| ~ spl0_140 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s443,plain,
( ~ spl0_35
| spl0_126
| ~ spl0_128
| ~ spl0_168 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s451,plain,
( ~ spl0_59
| spl0_82
| ~ spl0_83
| spl0_158 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s454,plain,
( ~ spl0_59
| spl0_126
| spl0_127
| ~ spl0_128 ),
inference(sat_conversion,[],[f1762]) ).
cnf(s457,plain,
( ~ spl0_27
| spl0_28
| ~ spl0_31 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s459,plain,
( ~ spl0_31
| spl0_117
| spl0_118
| ~ spl0_119 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s461,plain,
( spl0_25
| spl0_1 ),
inference(rat,[],[s265,s81,s82,s83,s14,s62,s100,s331,s97,s98,s99,s1]) ).
cnf(s462,plain,
( ~ spl0_24
| ~ spl0_23 ),
inference(rat,[],[s265,s81,s82,s83]) ).
cnf(s463,plain,
( ~ spl0_41
| ~ spl0_25 ),
inference(rat,[],[s242,s117,s118,s119]) ).
cnf(s466,plain,
( ~ spl0_15
| ~ spl0_28 ),
inference(rat,[],[s442,s181,s182,s183]) ).
cnf(s467,plain,
( ~ spl0_8
| ~ spl0_45 ),
inference(rat,[],[s295,s93,s94,s95]) ).
cnf(s468,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(rat,[],[s434,s129,s130,s131]) ).
cnf(s472,plain,
( ~ spl0_11
| ~ spl0_33 ),
inference(rat,[],[s340,s145,s146,s147]) ).
cnf(s477,plain,
( ~ spl0_12
| ~ spl0_39
| ~ spl0_25 ),
inference(rat,[],[s206,s392,s141,s142,s143]) ).
cnf(s478,plain,
( ~ spl0_18
| ~ spl0_28
| ~ spl0_45 ),
inference(rat,[],[s440,s298,s154,s155]) ).
cnf(s479,plain,
( ~ spl0_45
| spl0_23
| spl0_1 ),
inference(rat,[],[s201,s17,s12,s478,s466,s19,s477,s49,s396,s339,s129,s130,s131,s5,s467,s257,s472,s63,s202,s461,s100,s331,s97,s98,s99,s1]) ).
cnf(s480,plain,
( spl0_23
| spl0_1 ),
inference(rat,[],[s234,s451,s105,s106,s107,s39,s479,s63,s202,s68,s100,s331,s97,s98,s99,s1,s461]) ).
cnf(s481,plain,
( ~ spl0_33
| spl0_1 ),
inference(rat,[],[s477,s19,s33,s441,s407,s266,s173,s174,s175,s11,s429,s431,s89,s90,s91,s70,s451,s234,s472,s463,s461,s107,s106,s105,s39,s467,s5,s468,s18,s462,s480,s100,s1]) ).
cnf(s482,plain,
spl0_1,
inference(rat,[],[s429,s431,s89,s90,s91,s55,s329,s63,s57,s481,s18,s462,s480,s331,s97,s98,s99,s100,s1]) ).
cnf(s483,plain,
spl0_19,
inference(rat,[],[s168,s482]) ).
cnf(s484,plain,
spl0_128,
inference(rat,[],[s167,s482]) ).
cnf(s485,plain,
~ spl0_127,
inference(rat,[],[s166,s482]) ).
cnf(s486,plain,
~ spl0_126,
inference(rat,[],[s165,s482]) ).
cnf(s487,plain,
~ spl0_59,
inference(rat,[],[s454,s484,s485,s486]) ).
cnf(s488,plain,
( ~ spl0_45
| ~ spl0_33
| spl0_23 ),
inference(rat,[],[s291,s403,s134,s135,s26,s443,s49,s398,s396,s37,s339,s468,s129,s130,s131,s5,s467,s472,s483,s484,s486]) ).
cnf(s489,plain,
( ~ spl0_28
| spl0_31
| spl0_23
| ~ spl0_25 ),
inference(rat,[],[s275,s441,s173,s174,s175,s11,s468,s37,s292,s105,s106,s107,s36,s309,s440,s202,s155,s154,s153,s24,s483]) ).
cnf(s490,plain,
( spl0_28
| ~ spl0_33
| ~ spl0_25 ),
inference(rat,[],[s477,s33,s19,s335,s463,s472,s483]) ).
cnf(s491,plain,
( ~ spl0_33
| spl0_23
| ~ spl0_25 ),
inference(rat,[],[s275,s441,s173,s174,s175,s11,s468,s37,s294,s489,s490,s488,s202,s483]) ).
cnf(s492,plain,
( ~ spl0_45
| spl0_23
| spl0_41 ),
inference(rat,[],[s407,s173,s174,s175,s33,s35,s248,s291,s403,s133,s134,s135,s26,s443,s398,s37,s468,s5,s467,s483,s484,s486]) ).
cnf(s493,plain,
( spl0_23
| ~ spl0_25 ),
inference(rat,[],[s275,s441,s173,s174,s175,s11,s457,s468,s37,s294,s492,s25,s491,s202,s463,s483]) ).
cnf(s494,plain,
~ spl0_25,
inference(rat,[],[s25,s490,s351,s441,s266,s173,s174,s175,s11,s429,s431,s89,s90,s91,s70,s467,s5,s468,s18,s462,s493,s483,s487]) ).
cnf(s496,plain,
( ~ spl0_44
| ~ spl0_28
| spl0_45
| spl0_23 ),
inference(rat,[],[s292,s105,s106,s107,s36,s309,s440,s153,s154,s155,s24,s294,s483]) ).
cnf(s497,plain,
( ~ spl0_28
| ~ spl0_33
| spl0_23 ),
inference(rat,[],[s374,s334,s161,s162,s163,s22,s459,s153,s154,s155,s10,s384,s431,s45,s37,s496,s466,s62,s472,s90,s89,s70,s488,s483,s487,s494]) ).
cnf(s498,plain,
( ~ spl0_33
| spl0_23 ),
inference(rat,[],[s308,s427,s109,s110,s111,s43,s45,s374,s334,s161,s162,s163,s21,s335,s497,s472,s62,s483,s494]) ).
cnf(s499,plain,
( ~ spl0_28
| spl0_26
| ~ spl0_45 ),
inference(rat,[],[s17,s478,s466,s483]) ).
cnf(s500,plain,
( ~ spl0_45
| spl0_23 ),
inference(rat,[],[s308,s427,s109,s110,s111,s43,s374,s334,s161,s162,s163,s21,s499,s407,s173,s174,s175,s35,s228,s248,s291,s403,s133,s134,s135,s26,s443,s398,s37,s468,s5,s467,s62,s483,s484,s486,s494]) ).
cnf(s501,plain,
( ~ spl0_28
| spl0_23 ),
inference(rat,[],[s459,s153,s154,s155,s25,s10,s429,s384,s431,s37,s496,s466,s498,s91,s90,s89,s70,s500,s483,s487]) ).
cnf(s502,plain,
( ~ spl0_44
| spl0_23 ),
inference(rat,[],[s361,s109,s110,s111,s43,s374,s334,s161,s162,s163,s21,s58,s263,s443,s25,s398,s294,s62,s498,s500,s501,s483,s484,s486,s494]) ).
cnf(s503,plain,
spl0_23,
inference(rat,[],[s25,s429,s457,s431,s37,s502,s501,s89,s90,s91,s70,s500,s498,s483,s487]) ).
cnf(s504,plain,
~ spl0_24,
inference(rat,[],[s462,s503]) ).
cnf(s505,plain,
spl0_27,
inference(rat,[],[s18,s483,s504]) ).
cnf(s506,plain,
~ spl0_9,
inference(rat,[],[s468,s505]) ).
cnf(s507,plain,
spl0_8,
inference(rat,[],[s5,s506]) ).
cnf(s511,plain,
~ spl0_45,
inference(rat,[],[s467,s507]) ).
cnf(s513,plain,
spl0_17,
inference(rat,[],[s70,s487,s483,s511]) ).
cnf(s517,plain,
spl0_71,
inference(rat,[],[s91,s513]) ).
cnf(s518,plain,
spl0_70,
inference(rat,[],[s90,s513]) ).
cnf(s519,plain,
spl0_69,
inference(rat,[],[s89,s513]) ).
cnf(s520,plain,
spl0_166,
inference(rat,[],[s431,s505,s518,s519]) ).
cnf(s522,plain,
~ spl0_21,
inference(rat,[],[s429,s519,s517,s520]) ).
cnf(s523,plain,
spl0_14,
inference(rat,[],[s11,s483,s506,s522]) ).
cnf(s524,plain,
spl0_134,
inference(rat,[],[s175,s523]) ).
cnf(s525,plain,
spl0_133,
inference(rat,[],[s174,s523]) ).
cnf(s526,plain,
~ spl0_132,
inference(rat,[],[s173,s523]) ).
cnf(s527,plain,
~ spl0_150,
inference(rat,[],[s266,s503,s524,s525]) ).
cnf(s528,plain,
~ spl0_30,
inference(rat,[],[s407,s524,s525,s526]) ).
cnf(s529,plain,
~ spl0_28,
inference(rat,[],[s441,s525,s524,s527]) ).
cnf(s530,plain,
~ spl0_31,
inference(rat,[],[s351,s526,s524,s527]) ).
cnf(s531,plain,
spl0_6,
inference(rat,[],[s21,s529,s483,s528]) ).
cnf(s533,plain,
spl0_33,
inference(rat,[],[s25,s522,s483,s530]) ).
cnf(s535,plain,
~ spl0_125,
inference(rat,[],[s163,s531]) ).
cnf(s536,plain,
~ spl0_124,
inference(rat,[],[s162,s531]) ).
cnf(s537,plain,
~ spl0_123,
inference(rat,[],[s161,s531]) ).
cnf(s541,plain,
~ spl0_11,
inference(rat,[],[s472,s533]) ).
cnf(s547,plain,
spl0_12,
inference(rat,[],[s19,s529,s483,s541]) ).
cnf(s549,plain,
spl0_110,
inference(rat,[],[s143,s547]) ).
cnf(s550,plain,
spl0_109,
inference(rat,[],[s142,s547]) ).
cnf(s551,plain,
~ spl0_108,
inference(rat,[],[s141,s547]) ).
cnf(s552,plain,
~ spl0_26,
inference(rat,[],[s221,s549,s550,s551]) ).
cnf(s553,plain,
spl0_13,
inference(rat,[],[s16,s483,s506,s552]) ).
cnf(s554,plain,
spl0_137,
inference(rat,[],[s179,s553]) ).
cnf(s555,plain,
spl0_136,
inference(rat,[],[s178,s553]) ).
cnf(s556,plain,
~ spl0_135,
inference(rat,[],[s177,s553]) ).
cnf(s557,plain,
~ spl0_39,
inference(rat,[],[s241,s554,s556,s555]) ).
cnf(s559,plain,
spl0_57,
inference(rat,[],[s65,s530,s483,s557]) ).
cnf(s561,plain,
spl0_50,
inference(rat,[],[s49,s541,s483,s557]) ).
cnf(s562,plain,
~ spl0_163,
inference(rat,[],[s334,s536,s535,s559]) ).
cnf(s567,plain,
~ spl0_47,
inference(rat,[],[s374,s537,s536,s562]) ).
cnf(s569,plain,
spl0_44,
inference(rat,[],[s45,s541,s483,s567]) ).
cnf(s571,plain,
spl0_48,
inference(rat,[],[s43,s528,s483,s567]) ).
cnf(s578,plain,
spl0_86,
inference(rat,[],[s111,s571]) ).
cnf(s579,plain,
~ spl0_85,
inference(rat,[],[s110,s571]) ).
cnf(s580,plain,
~ spl0_84,
inference(rat,[],[s109,s571]) ).
cnf(s589,plain,
~ spl0_165,
inference(rat,[],[s393,s561,s578,s579]) ).
cnf(s591,plain,
$false,
inference(rat,[],[s308,s578,s569,s589,s580]) ).
fof(f1769,plain,
$false,
inference(avatar_sat_refutation,[],[s591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN506+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:23:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.85/0.95 % (3988839)Detected formulas, will run a generic FOF schedule.
% 0.85/0.95 % (3988850)dis-21_1_sil=8000:lcm=predicate:random_seed=2370511294:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.85/0.95 % (3988850)First to succeed.
% 0.85/0.95 % (3988850)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3988839"
% 0.85/0.95 % (3988844)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=1929444123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.85/0.95 % (3988846)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=4198792392:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.85/0.95 % (3988848)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1383275380:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.85/0.95 % (3988845)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=3362713575:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.85/0.95 % (3988847)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=746549814:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.85/0.95 % (3988849)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=731248324:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.85/0.95 % (3988849)Also succeeded, but the first one will report.
% 0.85/0.95 % (3988847)Also succeeded, but the first one will report.
% 0.85/0.95 % (3988848)Instruction limit reached!
% 0.85/0.95 % (3988848)------------------------------
% 0.85/0.95 % (3988848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.95 % (3988848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.95 % (3988848)CaDiCaL version: 2.1.3
% 0.85/0.95 % (3988848)Termination reason: Instruction limit
% 0.85/0.95 % (3988848)Termination phase: Saturation
% 0.85/0.95 % (3988848)Time elapsed: 0.060 s
% 0.85/0.95 % (3988848)Peak memory usage: 87 MB
% 0.85/0.95 % (3988848)Instructions burned: 121 (million)
% 0.85/0.95 % (3988850)Refutation found. Thanks to Tanya!
% 0.85/0.95 % SZS status Theorem for theBenchmark
% 0.85/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.15 % (3988850)------------------------------
% 2.69/1.15 % (3988850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.15 % (3988850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.15 % (3988850)CaDiCaL version: 2.1.3
% 2.69/1.15 % (3988850)Termination reason: Refutation
% 2.69/1.15 % (3988850)Time elapsed: 0.016 s
% 2.69/1.15 % (3988850)Peak memory usage: 90 MB
% 2.69/1.15 % (3988850)Instructions burned: 48 (million)
% 2.69/1.15 % (3988850)------------------------------
% 2.69/1.15 % (3988850)------------------------------
% 2.69/1.15 % (3988839)Success in time 0.285 s
% 2.69/1.15 % Vampire exiting
%------------------------------------------------------------------------------