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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN461+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 01:52:51 PM UTC 2026

% Result   : Theorem 2.99s 1.11s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1168)
          & c1_1(a1168)
          & ~ c2_1(a1168) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a1169)
          & ~ c2_1(a1169)
          & ~ c3_1(a1169) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a1172)
          & c3_1(a1172)
          & ~ c0_1(a1172) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a1174)
          & c1_1(a1174)
          & ~ c3_1(a1174) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1175)
          & c2_1(a1175)
          & ~ c0_1(a1175) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a1176)
          & c2_1(a1176)
          & ~ c3_1(a1176) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a1178)
          & c2_1(a1178)
          & ~ c3_1(a1178) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c1_1(a1179)
          & ~ c2_1(a1179)
          & ~ c3_1(a1179) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a1180)
          & ~ c0_1(a1180)
          & ~ c3_1(a1180) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a1181)
          & c3_1(a1181)
          & ~ c2_1(a1181) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a1184)
          & ~ c1_1(a1184)
          & ~ c2_1(a1184) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a1186)
          & ~ c2_1(a1186)
          & ~ c3_1(a1186) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a1187)
          & ~ c2_1(a1187)
          & ~ c3_1(a1187) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a1192)
          & ~ c0_1(a1192)
          & ~ c2_1(a1192) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a1194)
          & ~ c0_1(a1194)
          & ~ c1_1(a1194) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1195)
          & ~ c1_1(a1195)
          & ~ c3_1(a1195) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a1199)
          & ~ c0_1(a1199)
          & ~ c3_1(a1199) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a1200)
          & ~ c1_1(a1200)
          & ~ c2_1(a1200) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a1202)
          & c3_1(a1202)
          & ~ c0_1(a1202) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c3_1(a1204)
          & ~ c1_1(a1204)
          & ~ c2_1(a1204) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a1205)
          & c3_1(a1205)
          & ~ c2_1(a1205) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1207)
          & c3_1(a1207)
          & ~ c1_1(a1207) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1211)
          & c3_1(a1211)
          & ~ c1_1(a1211) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a1218)
          & ~ c1_1(a1218)
          & ~ c3_1(a1218) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a1232)
          & ~ c0_1(a1232)
          & ~ c1_1(a1232) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1182)
          & c2_1(a1182)
          & c3_1(a1182) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a1190)
          & c1_1(a1190)
          & c3_1(a1190) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1201)
          & c1_1(a1201)
          & c2_1(a1201) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1236)
          & c2_1(a1236)
          & c3_1(a1236) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c0_1(X6)
              | ~ c3_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | ~ c0_1(X8)
              | ~ c2_1(X8) ) )
        | hskp0 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | hskp0 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) )
        | hskp2 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | hskp0
        | hskp3 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | hskp4 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | ~ c0_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c0_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | hskp3
        | hskp6 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | c2_1(X29)
              | ~ c0_1(X29) ) )
        | hskp7 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | ~ c0_1(X31)
              | ~ c2_1(X31) ) )
        | hskp8 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | hskp9
        | hskp25 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp1 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | hskp10 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c2_1(X38)
              | ~ c1_1(X38)
              | ~ c3_1(X38) ) )
        | hskp3 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c3_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | ~ c2_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp11 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c0_1(X48)
              | ~ c2_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | ~ c0_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | hskp5
        | hskp4 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | hskp26 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) )
        | hskp6 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | hskp13 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp3 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | hskp14
        | hskp15 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | ~ c0_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c2_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | hskp0 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | hskp11 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp0
        | hskp16 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp17 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | hskp27
        | hskp18 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c3_1(X77) ) )
        | hskp13
        | hskp19 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp20
        | hskp12 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp21
        | hskp12 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | hskp11 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp13 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | hskp22
        | hskp17 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | hskp22
        | hskp14 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp9
        | hskp18 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | ~ c1_1(X87) ) )
        | hskp19
        | hskp23 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c0_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | hskp25 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp26
        | hskp8 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c3_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | hskp22
        | hskp14 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | hskp11
        | hskp15 )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp22
        | hskp2 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp13
        | hskp10 )
      & ( hskp26
        | hskp17
        | hskp24 )
      & ( hskp0
        | hskp1
        | hskp14 )
      & ( hskp28
        | hskp8 )
      & ( hskp17
        | hskp13
        | hskp2 )
      & ( hskp17
        | hskp1
        | hskp16 )
      & ( hskp6
        | hskp21
        | hskp14 )
      & ( hskp8
        | hskp21
        | hskp19 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1168)
            & c1_1(a1168)
            & ~ c2_1(a1168) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a1169)
            & ~ c2_1(a1169)
            & ~ c3_1(a1169) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a1172)
            & c3_1(a1172)
            & ~ c0_1(a1172) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a1174)
            & c1_1(a1174)
            & ~ c3_1(a1174) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1175)
            & c2_1(a1175)
            & ~ c0_1(a1175) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a1176)
            & c2_1(a1176)
            & ~ c3_1(a1176) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a1178)
            & c2_1(a1178)
            & ~ c3_1(a1178) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c1_1(a1179)
            & ~ c2_1(a1179)
            & ~ c3_1(a1179) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a1180)
            & ~ c0_1(a1180)
            & ~ c3_1(a1180) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a1181)
            & c3_1(a1181)
            & ~ c2_1(a1181) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a1184)
            & ~ c1_1(a1184)
            & ~ c2_1(a1184) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a1186)
            & ~ c2_1(a1186)
            & ~ c3_1(a1186) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a1187)
            & ~ c2_1(a1187)
            & ~ c3_1(a1187) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a1192)
            & ~ c0_1(a1192)
            & ~ c2_1(a1192) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a1194)
            & ~ c0_1(a1194)
            & ~ c1_1(a1194) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1195)
            & ~ c1_1(a1195)
            & ~ c3_1(a1195) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a1199)
            & ~ c0_1(a1199)
            & ~ c3_1(a1199) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a1200)
            & ~ c1_1(a1200)
            & ~ c2_1(a1200) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a1202)
            & c3_1(a1202)
            & ~ c0_1(a1202) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a1204)
            & ~ c1_1(a1204)
            & ~ c2_1(a1204) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a1205)
            & c3_1(a1205)
            & ~ c2_1(a1205) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1207)
            & c3_1(a1207)
            & ~ c1_1(a1207) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1211)
            & c3_1(a1211)
            & ~ c1_1(a1211) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a1218)
            & ~ c1_1(a1218)
            & ~ c3_1(a1218) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a1232)
            & ~ c0_1(a1232)
            & ~ c1_1(a1232) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1182)
            & c2_1(a1182)
            & c3_1(a1182) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a1190)
            & c1_1(a1190)
            & c3_1(a1190) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1201)
            & c1_1(a1201)
            & c2_1(a1201) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1236)
            & c2_1(a1236)
            & c3_1(a1236) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c0_1(X6)
                | ~ c3_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | hskp0 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp0 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) )
          | hskp2 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | hskp0
          | hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | hskp4 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | ~ c0_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | hskp3
          | hskp6 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | c2_1(X29)
                | ~ c0_1(X29) ) )
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | ~ c0_1(X31)
                | ~ c2_1(X31) ) )
          | hskp8 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | hskp9
          | hskp25 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp1 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp10 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c2_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp3 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c3_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c2_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp11 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c0_1(X48)
                | ~ c2_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | ~ c0_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | hskp5
          | hskp4 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | hskp26 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) )
          | hskp6 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | hskp13 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp3 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | hskp14
          | hskp15 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | hskp0 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp11 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp0
          | hskp16 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp17 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp27
          | hskp18 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c3_1(X77) ) )
          | hskp13
          | hskp19 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp20
          | hskp12 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp21
          | hskp12 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | hskp11 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp13 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | hskp22
          | hskp17 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | hskp22
          | hskp14 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp9
          | hskp18 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c1_1(X87) ) )
          | hskp19
          | hskp23 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c0_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | hskp25 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp26
          | hskp8 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | hskp22
          | hskp14 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | hskp11
          | hskp15 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp22
          | hskp2 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp13
          | hskp10 )
        & ( hskp26
          | hskp17
          | hskp24 )
        & ( hskp0
          | hskp1
          | hskp14 )
        & ( hskp28
          | hskp8 )
        & ( hskp17
          | hskp13
          | hskp2 )
        & ( hskp17
          | hskp1
          | hskp16 )
        & ( hskp6
          | hskp21
          | hskp14 )
        & ( hskp8
          | hskp21
          | hskp19 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1168)
        & c1_1(a1168)
        & ~ c2_1(a1168) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a1169)
        & ~ c2_1(a1169)
        & ~ c3_1(a1169) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1172)
        & c3_1(a1172)
        & ~ c0_1(a1172) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1174)
        & c1_1(a1174)
        & ~ c3_1(a1174) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1175)
        & c2_1(a1175)
        & ~ c0_1(a1175) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1176)
        & c2_1(a1176)
        & ~ c3_1(a1176) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1178)
        & c2_1(a1178)
        & ~ c3_1(a1178) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1179)
        & ~ c2_1(a1179)
        & ~ c3_1(a1179) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1180)
        & ~ c0_1(a1180)
        & ~ c3_1(a1180) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1181)
        & c3_1(a1181)
        & ~ c2_1(a1181) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1184)
        & ~ c1_1(a1184)
        & ~ c2_1(a1184) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1186)
        & ~ c2_1(a1186)
        & ~ c3_1(a1186) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a1187)
        & ~ c2_1(a1187)
        & ~ c3_1(a1187) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1192)
        & ~ c0_1(a1192)
        & ~ c2_1(a1192) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1194)
        & ~ c0_1(a1194)
        & ~ c1_1(a1194) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1195)
        & ~ c1_1(a1195)
        & ~ c3_1(a1195) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1199)
        & ~ c0_1(a1199)
        & ~ c3_1(a1199) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1200)
        & ~ c1_1(a1200)
        & ~ c2_1(a1200) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1202)
        & c3_1(a1202)
        & ~ c0_1(a1202) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a1204)
        & ~ c1_1(a1204)
        & ~ c2_1(a1204) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1205)
        & c3_1(a1205)
        & ~ c2_1(a1205) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1207)
        & c3_1(a1207)
        & ~ c1_1(a1207) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1211)
        & c3_1(a1211)
        & ~ c1_1(a1211) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1218)
        & ~ c1_1(a1218)
        & ~ c3_1(a1218) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c1_1(a1232) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1182)
        & c2_1(a1182)
        & c3_1(a1182) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1190)
        & c1_1(a1190)
        & c3_1(a1190) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1201)
        & c1_1(a1201)
        & c2_1(a1201) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1236)
        & c2_1(a1236)
        & c3_1(a1236) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c2_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | ~ c0_1(X6)
            | ~ c3_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | ~ c0_1(X8)
            | ~ c2_1(X8) ) )
      | hskp0 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | hskp0 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c3_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c0_1(X15) ) )
      | hskp2 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | hskp0
      | hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | hskp4 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | ~ c0_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | hskp3
      | hskp6 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | c2_1(X29)
            | ~ c0_1(X29) ) )
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | ~ c0_1(X31)
            | ~ c2_1(X31) ) )
      | hskp8 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | hskp9
      | hskp25 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) )
      | hskp1 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) )
      | hskp10 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c2_1(X38)
            | ~ c1_1(X38)
            | ~ c3_1(X38) ) )
      | hskp3 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | c3_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c0_1(X43)
            | ~ c2_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | hskp11 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c0_1(X48)
            | ~ c2_1(X48) ) )
      | hskp12 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | ~ c0_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | hskp5
      | hskp4 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | hskp26 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c0_1(X56)
            | ~ c1_1(X56) ) )
      | hskp6 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | hskp13 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | hskp3 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | hskp14
      | hskp15 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c0_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | ~ c0_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | hskp0 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp11 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp0
      | hskp16 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | ~ c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c0_1(X72) ) )
      | hskp17 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) )
      | hskp27
      | hskp18 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c2_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c3_1(X77) ) )
      | hskp13
      | hskp19 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp20
      | hskp12 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | hskp21
      | hskp12 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | hskp11 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp13 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | hskp22
      | hskp17 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | hskp22
      | hskp14 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp9
      | hskp18 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c3_1(X87)
            | ~ c1_1(X87) ) )
      | hskp19
      | hskp23 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | ~ c0_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | hskp25 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) )
      | hskp26
      | hskp8 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | hskp22
      | hskp14 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) )
      | hskp11
      | hskp15 )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | ~ c2_1(X93)
            | ~ c3_1(X93) ) )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | hskp13
      | hskp10 )
    & ( hskp26
      | hskp17
      | hskp24 )
    & ( hskp0
      | hskp1
      | hskp14 )
    & ( hskp28
      | hskp8 )
    & ( hskp17
      | hskp13
      | hskp2 )
    & ( hskp17
      | hskp1
      | hskp16 )
    & ( hskp6
      | hskp21
      | hskp14 )
    & ( hskp8
      | hskp21
      | hskp19 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1168)
        & c1_1(a1168)
        & ~ c2_1(a1168) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a1169)
        & ~ c2_1(a1169)
        & ~ c3_1(a1169) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1172)
        & c3_1(a1172)
        & ~ c0_1(a1172) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1174)
        & c1_1(a1174)
        & ~ c3_1(a1174) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1175)
        & c2_1(a1175)
        & ~ c0_1(a1175) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1176)
        & c2_1(a1176)
        & ~ c3_1(a1176) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1178)
        & c2_1(a1178)
        & ~ c3_1(a1178) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1179)
        & ~ c2_1(a1179)
        & ~ c3_1(a1179) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1180)
        & ~ c0_1(a1180)
        & ~ c3_1(a1180) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1181)
        & c3_1(a1181)
        & ~ c2_1(a1181) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1184)
        & ~ c1_1(a1184)
        & ~ c2_1(a1184) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1186)
        & ~ c2_1(a1186)
        & ~ c3_1(a1186) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a1187)
        & ~ c2_1(a1187)
        & ~ c3_1(a1187) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1192)
        & ~ c0_1(a1192)
        & ~ c2_1(a1192) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1194)
        & ~ c0_1(a1194)
        & ~ c1_1(a1194) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1195)
        & ~ c1_1(a1195)
        & ~ c3_1(a1195) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1199)
        & ~ c0_1(a1199)
        & ~ c3_1(a1199) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1200)
        & ~ c1_1(a1200)
        & ~ c2_1(a1200) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1202)
        & c3_1(a1202)
        & ~ c0_1(a1202) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a1204)
        & ~ c1_1(a1204)
        & ~ c2_1(a1204) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1205)
        & c3_1(a1205)
        & ~ c2_1(a1205) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1207)
        & c3_1(a1207)
        & ~ c1_1(a1207) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1211)
        & c3_1(a1211)
        & ~ c1_1(a1211) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1218)
        & ~ c1_1(a1218)
        & ~ c3_1(a1218) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c1_1(a1232) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1182)
        & c2_1(a1182)
        & c3_1(a1182) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1190)
        & c1_1(a1190)
        & c3_1(a1190) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1201)
        & c1_1(a1201)
        & c2_1(a1201) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1236)
        & c2_1(a1236)
        & c3_1(a1236) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c2_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | ~ c0_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp9
      | hskp25 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp0
      | hskp16 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp12 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp21
      | hskp12 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp22
      | hskp14 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp9
      | hskp18 )
    & ( ! [X87] :
          ( c2_1(X87)
          | c3_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp23 )
    & ( ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp26
      | hskp8 )
    & ( ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp22
      | hskp14 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp11
      | hskp15 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp13
      | hskp10 )
    & ( hskp26
      | hskp17
      | hskp24 )
    & ( hskp0
      | hskp1
      | hskp14 )
    & ( hskp28
      | hskp8 )
    & ( hskp17
      | hskp13
      | hskp2 )
    & ( hskp17
      | hskp1
      | hskp16 )
    & ( hskp6
      | hskp21
      | hskp14 )
    & ( hskp8
      | hskp21
      | hskp19 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1168)
        & c1_1(a1168)
        & ~ c2_1(a1168) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a1169)
        & ~ c2_1(a1169)
        & ~ c3_1(a1169) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1172)
        & c3_1(a1172)
        & ~ c0_1(a1172) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a1174)
        & c1_1(a1174)
        & ~ c3_1(a1174) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1175)
        & c2_1(a1175)
        & ~ c0_1(a1175) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a1176)
        & c2_1(a1176)
        & ~ c3_1(a1176) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a1178)
        & c2_1(a1178)
        & ~ c3_1(a1178) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c1_1(a1179)
        & ~ c2_1(a1179)
        & ~ c3_1(a1179) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a1180)
        & ~ c0_1(a1180)
        & ~ c3_1(a1180) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1181)
        & c3_1(a1181)
        & ~ c2_1(a1181) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1184)
        & ~ c1_1(a1184)
        & ~ c2_1(a1184) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a1186)
        & ~ c2_1(a1186)
        & ~ c3_1(a1186) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a1187)
        & ~ c2_1(a1187)
        & ~ c3_1(a1187) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a1192)
        & ~ c0_1(a1192)
        & ~ c2_1(a1192) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a1194)
        & ~ c0_1(a1194)
        & ~ c1_1(a1194) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1195)
        & ~ c1_1(a1195)
        & ~ c3_1(a1195) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1199)
        & ~ c0_1(a1199)
        & ~ c3_1(a1199) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a1200)
        & ~ c1_1(a1200)
        & ~ c2_1(a1200) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1202)
        & c3_1(a1202)
        & ~ c0_1(a1202) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a1204)
        & ~ c1_1(a1204)
        & ~ c2_1(a1204) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a1205)
        & c3_1(a1205)
        & ~ c2_1(a1205) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1207)
        & c3_1(a1207)
        & ~ c1_1(a1207) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1211)
        & c3_1(a1211)
        & ~ c1_1(a1211) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a1218)
        & ~ c1_1(a1218)
        & ~ c3_1(a1218) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a1232)
        & ~ c0_1(a1232)
        & ~ c1_1(a1232) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1182)
        & c2_1(a1182)
        & c3_1(a1182) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a1190)
        & c1_1(a1190)
        & c3_1(a1190) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1201)
        & c1_1(a1201)
        & c2_1(a1201) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1236)
        & c2_1(a1236)
        & c3_1(a1236) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c3_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c0_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c3_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | hskp3
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | c2_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c3_1(X31)
          | ~ c0_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp9
      | hskp25 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c2_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp0
      | hskp16 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp20
      | hskp12 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp21
      | hskp12 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp22
      | hskp17 )
    & ( ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp22
      | hskp14 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp9
      | hskp18 )
    & ( ! [X87] :
          ( c2_1(X87)
          | c3_1(X87)
          | ~ c1_1(X87)
          | ~ ndr1_0 )
      | hskp19
      | hskp23 )
    & ( ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp26
      | hskp8 )
    & ( ! [X91] :
          ( c3_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp22
      | hskp14 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp11
      | hskp15 )
    & ( ! [X93] :
          ( ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp22
      | hskp2 )
    & ( ! [X94] :
          ( ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp13
      | hskp10 )
    & ( hskp26
      | hskp17
      | hskp24 )
    & ( hskp0
      | hskp1
      | hskp14 )
    & ( hskp28
      | hskp8 )
    & ( hskp17
      | hskp13
      | hskp2 )
    & ( hskp17
      | hskp1
      | hskp16 )
    & ( hskp6
      | hskp21
      | hskp14 )
    & ( hskp8
      | hskp21
      | hskp19 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp8
    | hskp21
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp6
    | hskp21
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp17
    | hskp1
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp17
    | hskp13
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp28
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp0
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X94] :
      ( ~ c0_1(X94)
      | ~ c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp13
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X93] :
      ( ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp22
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X91] :
      ( c3_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp22
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X87] :
      ( c2_1(X87)
      | c3_1(X87)
      | ~ c1_1(X87)
      | ~ ndr1_0
      | hskp19
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X85] :
      ( c2_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | hskp22
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X84] :
      ( c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | hskp22
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X82,X83] :
      ( c2_1(X82)
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X79] :
      ( c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp21
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp13
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c0_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X62,X63,X64] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c0_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c3_1(X31)
      | ~ c0_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | hskp3
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X16] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | hskp0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp28
    | c3_1(a1236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp28
    | c2_1(a1236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp28
    | c0_1(a1236) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp25
    | c3_1(a1182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp25
    | c2_1(a1182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp25
    | c1_1(a1182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp23
    | ~ c3_1(a1218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp23
    | ~ c1_1(a1218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp23
    | ~ c0_1(a1218) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp22
    | ~ c1_1(a1211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp22
    | c3_1(a1211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp22
    | c0_1(a1211) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp21
    | ~ c1_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp21
    | c3_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp21
    | c2_1(a1207) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp19
    | ~ c2_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp19
    | ~ c1_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp19
    | c3_1(a1204) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp17
    | ~ c2_1(a1200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp17
    | ~ c1_1(a1200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp17
    | c0_1(a1200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp16
    | ~ c3_1(a1199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp16
    | ~ c0_1(a1199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp16
    | c2_1(a1199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp14
    | ~ c1_1(a1194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp14
    | ~ c0_1(a1194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp14
    | c2_1(a1194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp13
    | ~ c2_1(a1192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp13
    | ~ c0_1(a1192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp13
    | c1_1(a1192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp12
    | ~ c3_1(a1187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp12
    | ~ c2_1(a1187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp12
    | ~ c0_1(a1187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp11
    | ~ c3_1(a1186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp11
    | ~ c2_1(a1186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp11
    | c0_1(a1186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp10
    | ~ c2_1(a1184) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp10
    | ~ c1_1(a1184) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp10
    | ~ c0_1(a1184) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp8
    | ~ c3_1(a1180) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp8
    | ~ c0_1(a1180) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp8
    | c1_1(a1180) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp6
    | ~ c3_1(a1178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp6
    | c2_1(a1178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp6
    | c1_1(a1178) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp4
    | ~ c0_1(a1175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp4
    | c2_1(a1175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp4
    | c1_1(a1175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp3
    | ~ c3_1(a1174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp3
    | c1_1(a1174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp3
    | c0_1(a1174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c0_1(a1172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp2
    | c3_1(a1172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp2
    | c2_1(a1172) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp1
    | ~ c3_1(a1169) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp1
    | ~ c2_1(a1169) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp1
    | c1_1(a1169) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp0
    | ~ c2_1(a1168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp0
    | c1_1(a1168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp0
    | c0_1(a1168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f183,plain,
    ! [X82,X83] :
      ( c2_1(X82)
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f185,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c2_1(X76) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f186,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c0_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c0_1(X72)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f188,plain,
    ! [X65,X66] :
      ( c1_1(X65)
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c1_1(X66)
      | ~ c3_1(X66) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f189,plain,
    ! [X62,X63,X64] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c0_1(X63)
      | ~ c3_1(X63)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ c1_1(X64) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f190,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f192,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X56)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f194,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f195,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f196,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f199,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ c3_1(X38)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f201,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f202,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c3_1(X31)
      | ~ c0_1(X31)
      | ~ c2_1(X31)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f204,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f206,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f207,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | c3_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f209,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X12)
      | ~ c2_1(X12)
      | c0_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f210,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f213,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | c2_1(X4)
      | ~ c3_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f214,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f216,definition,
    ( spl0_1
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f219,definition,
    ( spl0_2
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f222,definition,
    ( spl0_3
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f224,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f222,f219,f216]) ).

fof(f226,definition,
    ( spl0_4
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f229,definition,
    ( spl0_5
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f231,plain,
    ( spl0_4
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f229,f219,f226]) ).

fof(f233,definition,
    ( spl0_6
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f236,definition,
    ( spl0_7
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f239,definition,
    ( spl0_8
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f241,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f239,f236,f233]) ).

fof(f243,definition,
    ( spl0_9
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f246,definition,
    ( spl0_10
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f248,plain,
    ( spl0_9
    | spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f9,f239,f246,f243]) ).

fof(f250,definition,
    ( spl0_11
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f252,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f250,f222]) ).

fof(f254,definition,
    ( spl0_12
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f256,plain,
    ( spl0_4
    | spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f254,f236,f226]) ).

fof(f265,definition,
    ( spl0_15
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_17
  <=> ! [X94] :
        ( ~ c0_1(X94)
        | ~ c3_1(X94)
        | ~ c2_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X94] :
        ( ~ c3_1(X94)
        | ~ c0_1(X94)
        | ~ c2_1(X94) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl0_15
    | spl0_10
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f13,f271,f268,f246,f265]) ).

fof(f275,definition,
    ( spl0_18
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_9
    | spl0_18
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f14,f271,f268,f275,f243]) ).

fof(f282,definition,
    ( spl0_20
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_21
  <=> ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | ~ c0_1(X92) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f288,plain,
    ( spl0_4
    | spl0_18
    | ~ spl0_16
    | spl0_21 ),
    inference(avatar_split_clause,[],[f16,f285,f268,f275,f226]) ).

fof(f290,definition,
    ( spl0_22
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c3_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f291,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | c2_1(X90) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f294,definition,
    ( spl0_23
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f297,definition,
    ( spl0_24
  <=> ! [X89] :
        ( c3_1(X89)
        | ~ c1_1(X89)
        | ~ c0_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X89] :
        ( ~ c1_1(X89)
        | c3_1(X89)
        | ~ c0_1(X89) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f300,definition,
    ( spl0_25
  <=> ! [X88] :
        ( c2_1(X88)
        | ~ c1_1(X88)
        | ~ c0_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c2_1(X88)
        | ~ c0_1(X88) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f182,f300,f268,f297,f294]) ).

fof(f304,definition,
    ( spl0_26
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_27
  <=> ! [X87] :
        ( c2_1(X87)
        | ~ c1_1(X87)
        | c3_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f308,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | c2_1(X87)
        | c3_1(X87) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f309,plain,
    ( spl0_26
    | spl0_1
    | ~ spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f19,f307,f268,f216,f304]) ).

fof(f317,definition,
    ( spl0_30
  <=> ! [X86] :
        ( c2_1(X86)
        | ~ c0_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | ~ c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,plain,
    ( spl0_4
    | spl0_18
    | ~ spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f21,f317,f268,f275,f226]) ).

fof(f321,plain,
    ( spl0_8
    | spl0_18
    | ~ spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f22,f317,f268,f275,f239]) ).

fof(f323,definition,
    ( spl0_31
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c3_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | ~ c3_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f325,plain,
    ( spl0_10
    | spl0_31
    | ~ spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f183,f317,f268,f323,f246]) ).

fof(f328,definition,
    ( spl0_32
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f331,definition,
    ( spl0_33
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f332,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f333,plain,
    ( spl0_32
    | spl0_2
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f25,f331,f268,f219,f328]) ).

fof(f339,definition,
    ( spl0_35
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | ~ c0_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | ~ c0_1(X77) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f341,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_16
    | spl0_35 ),
    inference(avatar_split_clause,[],[f27,f339,f268,f246,f216]) ).

fof(f343,definition,
    ( spl0_36
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | ~ c2_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c2_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_36
    | spl0_27
    | ~ spl0_16
    | spl0_35 ),
    inference(avatar_split_clause,[],[f185,f339,f268,f307,f343]) ).

fof(f350,definition,
    ( spl0_38
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | ~ c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | ~ c0_1(X73) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f353,plain,
    ( spl0_8
    | spl0_30
    | ~ spl0_16
    | spl0_38 ),
    inference(avatar_split_clause,[],[f186,f350,f268,f317,f239]) ).

fof(f355,definition,
    ( spl0_39
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | c2_1(X70) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f360,definition,
    ( spl0_40
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f33,f360,f268,f254]) ).

fof(f363,plain,
    ( spl0_31
    | ~ spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f188,f360,f268,f323]) ).

fof(f364,plain,
    ( spl0_25
    | spl0_35
    | ~ spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f189,f360,f268,f339,f300]) ).

fof(f366,definition,
    ( spl0_41
  <=> ! [X61] :
        ( c1_1(X61)
        | c3_1(X61)
        | c2_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X61] :
        ( c1_1(X61)
        | c3_1(X61)
        | c2_1(X61) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl0_42
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f372,plain,
    ( spl0_42
    | spl0_17
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f190,f366,f268,f271,f370]) ).

fof(f374,plain,
    ( spl0_5
    | spl0_25
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f192,f366,f268,f300,f229]) ).

fof(f380,definition,
    ( spl0_44
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f386,definition,
    ( spl0_46
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | ~ c3_1(X52)
        | c0_1(X52) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f390,definition,
    ( spl0_47
  <=> ! [X51] :
        ( c3_1(X51)
        | ~ c2_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51)
        | c3_1(X51) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_47
    | spl0_21
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f194,f386,f268,f285,f390]) ).

fof(f393,plain,
    ( spl0_32
    | spl0_38
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f195,f386,f268,f350,f328]) ).

fof(f394,plain,
    ( spl0_20
    | spl0_39
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f196,f386,f268,f355,f282]) ).

fof(f400,definition,
    ( spl0_49
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c2_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | ~ c2_1(X39)
        | c0_1(X39) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f404,definition,
    ( spl0_50
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c0_1(X37)
        | c3_1(X37) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_42
    | spl0_22
    | ~ spl0_16
    | spl0_50 ),
    inference(avatar_split_clause,[],[f199,f404,f268,f290,f370]) ).

fof(f408,definition,
    ( spl0_51
  <=> ! [X35] :
        ( c0_1(X35)
        | ~ c3_1(X35)
        | c2_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | c0_1(X35)
        | c2_1(X35) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f411,plain,
    ( spl0_7
    | spl0_33
    | ~ spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f201,f408,f268,f331,f236]) ).

fof(f413,definition,
    ( spl0_52
  <=> ! [X32] :
        ( c0_1(X32)
        | ~ c1_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X32] :
        ( ~ c1_1(X32)
        | c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f202,f413,f268,f285,f222]) ).

fof(f422,definition,
    ( spl0_54
  <=> ! [X27] :
        ( c0_1(X27)
        | c3_1(X27)
        | c2_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X27] :
        ( c3_1(X27)
        | c0_1(X27)
        | c2_1(X27) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_5
    | spl0_42
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f53,f422,f268,f370,f229]) ).

fof(f425,plain,
    ( spl0_35
    | spl0_38
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f204,f422,f268,f350,f339]) ).

fof(f427,definition,
    ( spl0_55
  <=> ! [X22] :
        ( c0_1(X22)
        | ~ c2_1(X22)
        | c1_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X22] :
        ( c1_1(X22)
        | ~ c2_1(X22)
        | c0_1(X22) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f431,definition,
    ( spl0_56
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_44
    | spl0_56
    | ~ spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f206,f427,f268,f431,f380]) ).

fof(f434,plain,
    ( spl0_47
    | spl0_56
    | ~ spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f207,f427,f268,f431,f390]) ).

fof(f436,definition,
    ( spl0_57
  <=> ! [X16] :
        ( c0_1(X16)
        | c3_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X16] :
        ( c1_1(X16)
        | c3_1(X16)
        | c0_1(X16) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl0_42
    | spl0_12
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f58,f436,f268,f254,f370]) ).

fof(f444,definition,
    ( spl0_59
  <=> ! [X13] :
        ( c0_1(X13)
        | ~ c3_1(X13)
        | ~ c2_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c0_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( spl0_59
    | spl0_49
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f209,f436,f268,f400,f444]) ).

fof(f447,plain,
    ( spl0_12
    | spl0_55
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f210,f436,f268,f427,f254]) ).

fof(f449,definition,
    ( spl0_60
  <=> ! [X7] :
        ( c0_1(X7)
        | c2_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X7] :
        ( c1_1(X7)
        | c2_1(X7)
        | c0_1(X7) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f456,plain,
    ( spl0_12
    | spl0_39
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f213,f449,f268,f355,f254]) ).

fof(f457,plain,
    ( spl0_47
    | spl0_51
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f214,f449,f268,f408,f390]) ).

fof(f459,definition,
    ( spl0_62
  <=> c3_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f460,plain,
    ( c3_1(a1236)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f462,plain,
    ( spl0_62
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f66,f250,f459]) ).

fof(f464,definition,
    ( spl0_63
  <=> c2_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f466,plain,
    ( spl0_63
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f67,f250,f464]) ).

fof(f468,definition,
    ( spl0_64
  <=> c0_1(a1236) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f470,plain,
    ( spl0_64
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f68,f250,f468]) ).

fof(f502,definition,
    ( spl0_71
  <=> c3_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f503,plain,
    ( c3_1(a1182)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,plain,
    ( spl0_71
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f78,f294,f502]) ).

fof(f507,definition,
    ( spl0_72
  <=> c2_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f509,plain,
    ( spl0_72
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f79,f294,f507]) ).

fof(f511,definition,
    ( spl0_73
  <=> c1_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f512,plain,
    ( c1_1(a1182)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( spl0_73
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f80,f294,f511]) ).

fof(f530,definition,
    ( spl0_77
  <=> c3_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ c3_1(a1218)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,plain,
    ( ~ spl0_77
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f86,f304,f530]) ).

fof(f535,definition,
    ( spl0_78
  <=> c1_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f536,plain,
    ( ~ c1_1(a1218)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( ~ spl0_78
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f87,f304,f535]) ).

fof(f539,definition,
    ( spl0_79
  <=> c0_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f541,plain,
    ( ~ spl0_79
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f88,f304,f539]) ).

fof(f544,definition,
    ( spl0_80
  <=> c1_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f545,plain,
    ( ~ c1_1(a1211)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f547,plain,
    ( ~ spl0_80
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f90,f275,f544]) ).

fof(f549,definition,
    ( spl0_81
  <=> c3_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_81
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f91,f275,f549]) ).

fof(f553,definition,
    ( spl0_82
  <=> c0_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f555,plain,
    ( spl0_82
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f92,f275,f553]) ).

fof(f558,definition,
    ( spl0_83
  <=> c1_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ c1_1(a1207)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,plain,
    ( ~ spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f94,f219,f558]) ).

fof(f563,definition,
    ( spl0_84
  <=> c3_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_84
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f95,f219,f563]) ).

fof(f567,definition,
    ( spl0_85
  <=> c2_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f569,plain,
    ( spl0_85
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f96,f219,f567]) ).

fof(f570,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f97,f219,f268]) ).

fof(f586,definition,
    ( spl0_89
  <=> c2_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ spl0_89
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f102,f216,f586]) ).

fof(f591,definition,
    ( spl0_90
  <=> c1_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ c1_1(a1204)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( ~ spl0_90
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f103,f216,f591]) ).

fof(f595,definition,
    ( spl0_91
  <=> c3_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f596,plain,
    ( c3_1(a1204)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( spl0_91
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f104,f216,f595]) ).

fof(f598,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f105,f216,f268]) ).

fof(f614,definition,
    ( spl0_95
  <=> c2_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_95
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f110,f239,f614]) ).

fof(f619,definition,
    ( spl0_96
  <=> c1_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c1_1(a1200)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f621,plain,
    ( ~ spl0_96
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f111,f239,f619]) ).

fof(f623,definition,
    ( spl0_97
  <=> c0_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f625,plain,
    ( spl0_97
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f112,f239,f623]) ).

fof(f628,definition,
    ( spl0_98
  <=> c3_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ c3_1(a1199)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f631,plain,
    ( ~ spl0_98
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f114,f233,f628]) ).

fof(f633,definition,
    ( spl0_99
  <=> c0_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ spl0_99
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f115,f233,f633]) ).

fof(f637,definition,
    ( spl0_100
  <=> c2_1(a1199) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f639,plain,
    ( spl0_100
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f116,f233,f637]) ).

fof(f656,definition,
    ( spl0_104
  <=> c1_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c1_1(a1194)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,plain,
    ( ~ spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f122,f226,f656]) ).

fof(f661,definition,
    ( spl0_105
  <=> c0_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ spl0_105
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f123,f226,f661]) ).

fof(f665,definition,
    ( spl0_106
  <=> c2_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f667,plain,
    ( spl0_106
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f124,f226,f665]) ).

fof(f670,definition,
    ( spl0_107
  <=> c2_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f673,plain,
    ( ~ spl0_107
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f126,f246,f670]) ).

fof(f675,definition,
    ( spl0_108
  <=> c0_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_108
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f127,f246,f675]) ).

fof(f679,definition,
    ( spl0_109
  <=> c1_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f680,plain,
    ( c1_1(a1192)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( spl0_109
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f128,f246,f679]) ).

fof(f684,definition,
    ( spl0_110
  <=> c3_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ c3_1(a1187)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,plain,
    ( ~ spl0_110
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f130,f328,f684]) ).

fof(f689,definition,
    ( spl0_111
  <=> c2_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ spl0_111
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f131,f328,f689]) ).

fof(f693,definition,
    ( spl0_112
  <=> c0_1(a1187) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_112
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f132,f328,f693]) ).

fof(f698,definition,
    ( spl0_113
  <=> c3_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ c3_1(a1186)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( ~ spl0_113
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f134,f282,f698]) ).

fof(f703,definition,
    ( spl0_114
  <=> c2_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ spl0_114
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f135,f282,f703]) ).

fof(f707,definition,
    ( spl0_115
  <=> c0_1(a1186) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f709,plain,
    ( spl0_115
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f136,f282,f707]) ).

fof(f712,definition,
    ( spl0_116
  <=> c2_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f715,plain,
    ( ~ spl0_116
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f138,f265,f712]) ).

fof(f717,definition,
    ( spl0_117
  <=> c1_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c1_1(a1184)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( ~ spl0_117
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f139,f265,f717]) ).

fof(f721,definition,
    ( spl0_118
  <=> c0_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ spl0_118
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f140,f265,f721]) ).

fof(f740,definition,
    ( spl0_122
  <=> c3_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ c3_1(a1180)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( ~ spl0_122
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f146,f222,f740]) ).

fof(f745,definition,
    ( spl0_123
  <=> c0_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ spl0_123
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f147,f222,f745]) ).

fof(f749,definition,
    ( spl0_124
  <=> c1_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f750,plain,
    ( c1_1(a1180)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( spl0_124
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f148,f222,f749]) ).

fof(f752,plain,
    ( spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f149,f222,f268]) ).

fof(f768,definition,
    ( spl0_128
  <=> c3_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ c3_1(a1178)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( ~ spl0_128
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f154,f229,f768]) ).

fof(f773,definition,
    ( spl0_129
  <=> c2_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_129
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f155,f229,f773]) ).

fof(f777,definition,
    ( spl0_130
  <=> c1_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f778,plain,
    ( c1_1(a1178)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f779,plain,
    ( spl0_130
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f156,f229,f777]) ).

fof(f796,definition,
    ( spl0_134
  <=> c0_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f799,plain,
    ( ~ spl0_134
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f162,f380,f796]) ).

fof(f801,definition,
    ( spl0_135
  <=> c2_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f803,plain,
    ( spl0_135
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f163,f380,f801]) ).

fof(f805,definition,
    ( spl0_136
  <=> c1_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f806,plain,
    ( c1_1(a1175)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f807,plain,
    ( spl0_136
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f164,f380,f805]) ).

fof(f810,definition,
    ( spl0_137
  <=> c3_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ c3_1(a1174)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_137
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f166,f370,f810]) ).

fof(f815,definition,
    ( spl0_138
  <=> c1_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f816,plain,
    ( c1_1(a1174)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f817,plain,
    ( spl0_138
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f167,f370,f815]) ).

fof(f819,definition,
    ( spl0_139
  <=> c0_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f821,plain,
    ( spl0_139
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f168,f370,f819]) ).

fof(f824,definition,
    ( spl0_140
  <=> c0_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_140
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f170,f243,f824]) ).

fof(f829,definition,
    ( spl0_141
  <=> c3_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f830,plain,
    ( c3_1(a1172)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f831,plain,
    ( spl0_141
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f171,f243,f829]) ).

fof(f833,definition,
    ( spl0_142
  <=> c2_1(a1172) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f835,plain,
    ( spl0_142
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f172,f243,f833]) ).

fof(f838,definition,
    ( spl0_143
  <=> c3_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ c3_1(a1169)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( ~ spl0_143
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f174,f236,f838]) ).

fof(f843,definition,
    ( spl0_144
  <=> c2_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ spl0_144
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f175,f236,f843]) ).

fof(f847,definition,
    ( spl0_145
  <=> c1_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f848,plain,
    ( c1_1(a1169)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( spl0_145
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f176,f236,f847]) ).

fof(f852,definition,
    ( spl0_146
  <=> c2_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ spl0_146
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f178,f254,f852]) ).

fof(f857,definition,
    ( spl0_147
  <=> c1_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f858,plain,
    ( c1_1(a1168)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f859,plain,
    ( spl0_147
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f179,f254,f857]) ).

fof(f861,definition,
    ( spl0_148
  <=> c0_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f863,plain,
    ( spl0_148
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f180,f254,f861]) ).

fof(f869,definition,
    ( spl0_149
  <=> c0_1(a1207) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f879,definition,
    ( spl0_150
  <=> c3_1(a1192) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f880,plain,
    ( ~ c3_1(a1192)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f890,plain,
    ( ~ c3_1(a1207)
    | ~ c2_1(a1207)
    | ~ spl0_33
    | spl0_83 ),
    inference(resolution,[],[f332,f559]) ).

fof(f891,plain,
    ( ~ c3_1(a1211)
    | ~ c2_1(a1211)
    | ~ spl0_33
    | spl0_80 ),
    inference(resolution,[],[f332,f545]) ).

fof(f895,definition,
    ( spl0_151
  <=> c2_1(a1211) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_151
    | ~ spl0_81
    | ~ spl0_33
    | spl0_80 ),
    inference(avatar_split_clause,[],[f891,f544,f331,f549,f895]) ).

fof(f903,definition,
    ( spl0_152
  <=> c3_1(a1194) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c3_1(a1194)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f903]) ).

fof(f915,plain,
    ( ~ c3_1(a1207)
    | ~ c0_1(a1207)
    | ~ spl0_35
    | spl0_83 ),
    inference(resolution,[],[f340,f559]) ).

fof(f916,plain,
    ( ~ c3_1(a1211)
    | ~ c0_1(a1211)
    | ~ spl0_35
    | spl0_80 ),
    inference(resolution,[],[f340,f545]) ).

fof(f921,plain,
    ( ~ spl0_82
    | ~ spl0_81
    | ~ spl0_35
    | spl0_80 ),
    inference(avatar_split_clause,[],[f916,f544,f339,f549,f553]) ).

fof(f922,plain,
    ( ~ spl0_149
    | ~ spl0_84
    | ~ spl0_35
    | spl0_83 ),
    inference(avatar_split_clause,[],[f915,f558,f339,f563,f869]) ).

fof(f925,definition,
    ( spl0_153
  <=> c3_1(a1200) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ c3_1(a1200)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f936,plain,
    ( ~ c2_1(a1211)
    | ~ c0_1(a1211)
    | ~ spl0_38
    | spl0_80 ),
    inference(resolution,[],[f351,f545]) ).

fof(f940,plain,
    ( ~ spl0_82
    | ~ spl0_151
    | ~ spl0_38
    | spl0_80 ),
    inference(avatar_split_clause,[],[f936,f544,f350,f895,f553]) ).

fof(f964,plain,
    ( ~ c0_1(a1200)
    | c2_1(a1200)
    | ~ spl0_40
    | spl0_96 ),
    inference(resolution,[],[f361,f620]) ).

fof(f966,plain,
    ( ~ c0_1(a1211)
    | c2_1(a1211)
    | ~ spl0_40
    | spl0_80 ),
    inference(resolution,[],[f361,f545]) ).

fof(f971,plain,
    ( spl0_151
    | ~ spl0_82
    | ~ spl0_40
    | spl0_80 ),
    inference(avatar_split_clause,[],[f966,f544,f360,f553,f895]) ).

fof(f972,plain,
    ( spl0_95
    | ~ spl0_97
    | ~ spl0_40
    | spl0_96 ),
    inference(avatar_split_clause,[],[f964,f619,f360,f623,f614]) ).

fof(f997,definition,
    ( spl0_156
  <=> c2_1(a1180) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ c0_1(a1236)
    | ~ c2_1(a1236)
    | ~ spl0_17
    | ~ spl0_62 ),
    inference(resolution,[],[f272,f460]) ).

fof(f1028,plain,
    ( c3_1(a1192)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f1036,plain,
    ( ~ c3_1(a1200)
    | ~ c0_1(a1200)
    | ~ spl0_35
    | spl0_96 ),
    inference(resolution,[],[f340,f620]) ).

fof(f1042,plain,
    ( ~ spl0_97
    | ~ spl0_153
    | ~ spl0_35
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1036,f619,f339,f925,f623]) ).

fof(f1046,plain,
    ( c3_1(a1200)
    | c2_1(a1200)
    | ~ spl0_41
    | spl0_96 ),
    inference(resolution,[],[f367,f620]) ).

fof(f1053,definition,
    ( spl0_158
  <=> c2_1(a1218) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1058,plain,
    ( spl0_95
    | spl0_153
    | ~ spl0_41
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1046,f619,f366,f925,f614]) ).

fof(f1059,plain,
    ( ~ c0_1(a1200)
    | c2_1(a1200)
    | ~ spl0_30
    | spl0_153 ),
    inference(resolution,[],[f926,f318]) ).

fof(f1062,plain,
    ( spl0_95
    | ~ spl0_97
    | ~ spl0_30
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1059,f925,f317,f623,f614]) ).

fof(f1102,plain,
    ( ~ c2_1(a1207)
    | ~ c0_1(a1207)
    | ~ spl0_38
    | spl0_83 ),
    inference(resolution,[],[f351,f559]) ).

fof(f1123,plain,
    ( c0_1(a1192)
    | c2_1(a1192)
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(resolution,[],[f414,f680]) ).

fof(f1127,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1123,f679,f413,f675,f670]) ).

fof(f1132,plain,
    ( ~ c0_1(a1182)
    | ~ c2_1(a1182)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(resolution,[],[f503,f272]) ).

fof(f1135,definition,
    ( spl0_160
  <=> c0_1(a1182) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1137,plain,
    ( ~ spl0_72
    | ~ spl0_160
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1132,f502,f271,f1135,f507]) ).

fof(f1165,plain,
    ( c0_1(a1180)
    | c2_1(a1180)
    | ~ spl0_54
    | spl0_122 ),
    inference(resolution,[],[f423,f741]) ).

fof(f1166,plain,
    ( c0_1(a1187)
    | c2_1(a1187)
    | ~ spl0_54
    | spl0_110 ),
    inference(resolution,[],[f423,f685]) ).

fof(f1167,plain,
    ( c0_1(a1192)
    | c2_1(a1192)
    | ~ spl0_54
    | spl0_150 ),
    inference(resolution,[],[f423,f880]) ).

fof(f1176,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_54
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1167,f879,f422,f675,f670]) ).

fof(f1179,plain,
    ( spl0_156
    | spl0_123
    | ~ spl0_54
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1165,f740,f422,f745,f997]) ).

fof(f1183,definition,
    ( spl0_161
  <=> c0_1(a1178) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1211,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(resolution,[],[f428,f387]) ).

fof(f1214,plain,
    ( ~ c2_1(a1194)
    | c0_1(a1194)
    | ~ spl0_55
    | spl0_104 ),
    inference(resolution,[],[f428,f657]) ).

fof(f1216,plain,
    ( ~ c2_1(a1207)
    | c0_1(a1207)
    | ~ spl0_55
    | spl0_83 ),
    inference(resolution,[],[f428,f559]) ).

fof(f1219,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1211]) ).

fof(f1230,plain,
    ( spl0_59
    | ~ spl0_46
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1219,f427,f386,f444]) ).

fof(f1237,definition,
    ( spl0_162
  <=> c0_1(a1204) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1250,definition,
    ( spl0_163
  <=> c3_1(a1175) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1257,definition,
    ( spl0_164
  <=> c0_1(a1169) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1269,plain,
    ( c2_1(a1169)
    | c3_1(a1169)
    | ~ spl0_27
    | ~ spl0_145 ),
    inference(resolution,[],[f308,f848]) ).

fof(f1272,plain,
    ( c2_1(a1180)
    | c3_1(a1180)
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f308,f750]) ).

fof(f1276,plain,
    ( spl0_122
    | spl0_156
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1272,f749,f307,f997,f740]) ).

fof(f1277,plain,
    ( spl0_143
    | spl0_144
    | ~ spl0_27
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1269,f847,f307,f843,f838]) ).

fof(f1284,plain,
    ( c2_1(a1192)
    | c3_1(a1192)
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(resolution,[],[f680,f308]) ).

fof(f1289,plain,
    ( spl0_150
    | spl0_107
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1284,f679,f307,f670,f879]) ).

fof(f1316,plain,
    ( ~ c2_1(a1178)
    | c3_1(a1178)
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(resolution,[],[f391,f778]) ).

fof(f1317,plain,
    ( ~ c2_1(a1180)
    | c3_1(a1180)
    | ~ spl0_47
    | ~ spl0_124 ),
    inference(resolution,[],[f391,f750]) ).

fof(f1324,plain,
    ( spl0_122
    | ~ spl0_156
    | ~ spl0_47
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1317,f749,f390,f997,f740]) ).

fof(f1325,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1316,f777,f390,f773,f768]) ).

fof(f1336,plain,
    ( c0_1(a1180)
    | c3_1(a1180)
    | ~ spl0_50
    | ~ spl0_124 ),
    inference(resolution,[],[f405,f750]) ).

fof(f1342,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_50
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1336,f749,f404,f745,f740]) ).

fof(f1351,definition,
    ( spl0_165
  <=> c2_1(a1174) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1364,plain,
    ( ~ c0_1(a1186)
    | c2_1(a1186)
    | ~ spl0_30
    | spl0_113 ),
    inference(resolution,[],[f699,f318]) ).

fof(f1367,plain,
    ( spl0_114
    | ~ spl0_115
    | ~ spl0_30
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1364,f698,f317,f707,f703]) ).

fof(f1378,definition,
    ( spl0_167
  <=> c3_1(a1184) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1383,plain,
    ( c2_1(a1174)
    | c3_1(a1174)
    | ~ spl0_27
    | ~ spl0_138 ),
    inference(resolution,[],[f816,f308]) ).

fof(f1387,plain,
    ( spl0_137
    | spl0_165
    | ~ spl0_27
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1383,f815,f307,f1351,f810]) ).

fof(f1420,plain,
    ( c2_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl0_25
    | ~ spl0_138 ),
    inference(resolution,[],[f301,f816]) ).

fof(f1430,plain,
    ( ~ spl0_139
    | spl0_165
    | ~ spl0_25
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1420,f815,f300,f1351,f819]) ).

fof(f1454,plain,
    ( c3_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl0_24
    | ~ spl0_138 ),
    inference(resolution,[],[f298,f816]) ).

fof(f1470,plain,
    ( ~ spl0_139
    | spl0_137
    | ~ spl0_24
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1454,f815,f297,f810,f819]) ).

fof(f1475,plain,
    ( c0_1(a1192)
    | c2_1(a1192)
    | ~ spl0_51
    | ~ spl0_150 ),
    inference(resolution,[],[f409,f1028]) ).

fof(f1491,plain,
    ( ~ c3_1(a1194)
    | c0_1(a1194)
    | ~ spl0_56
    | spl0_104 ),
    inference(resolution,[],[f432,f657]) ).

fof(f1493,plain,
    ( ~ c3_1(a1207)
    | c0_1(a1207)
    | ~ spl0_56
    | spl0_83 ),
    inference(resolution,[],[f432,f559]) ).

fof(f1504,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_55
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1214,f656,f427,f665,f661]) ).

fof(f1519,plain,
    ( c3_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_24
    | ~ spl0_147 ),
    inference(resolution,[],[f858,f298]) ).

fof(f1520,plain,
    ( c2_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_25
    | ~ spl0_147 ),
    inference(resolution,[],[f858,f301]) ).

fof(f1522,plain,
    ( c2_1(a1168)
    | c3_1(a1168)
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(resolution,[],[f858,f308]) ).

fof(f1525,definition,
    ( spl0_168
  <=> c3_1(a1168) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1530,plain,
    ( spl0_168
    | spl0_146
    | ~ spl0_27
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1522,f857,f307,f852,f1525]) ).

fof(f1533,plain,
    ( ~ spl0_148
    | spl0_146
    | ~ spl0_25
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1520,f857,f300,f852,f861]) ).

fof(f1534,plain,
    ( ~ spl0_148
    | spl0_168
    | ~ spl0_24
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1519,f857,f297,f1525,f861]) ).

fof(f1535,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_54
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1166,f684,f422,f693,f689]) ).

fof(f1582,plain,
    ( ~ c2_1(a1182)
    | ~ c0_1(a1182)
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(resolution,[],[f344,f512]) ).

fof(f1588,plain,
    ( ~ spl0_160
    | ~ spl0_72
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1582,f511,f343,f507,f1135]) ).

fof(f1596,plain,
    ( ~ spl0_82
    | ~ spl0_151
    | ~ spl0_38
    | spl0_80 ),
    inference(avatar_split_clause,[],[f936,f544,f350,f895,f553]) ).

fof(f1599,plain,
    ( ~ spl0_149
    | ~ spl0_85
    | ~ spl0_38
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1102,f558,f350,f567,f869]) ).

fof(f1649,plain,
    ( ~ c2_1(a1175)
    | c3_1(a1175)
    | ~ spl0_47
    | ~ spl0_136 ),
    inference(resolution,[],[f391,f806]) ).

fof(f1658,plain,
    ( spl0_163
    | ~ spl0_135
    | ~ spl0_47
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1649,f805,f390,f801,f1250]) ).

fof(f1693,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_51
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1475,f879,f408,f675,f670]) ).

fof(f1704,plain,
    ( ~ spl0_85
    | ~ spl0_84
    | ~ spl0_33
    | spl0_83 ),
    inference(avatar_split_clause,[],[f890,f558,f331,f563,f567]) ).

fof(f1719,plain,
    ( spl0_149
    | ~ spl0_85
    | ~ spl0_55
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1216,f558,f427,f567,f869]) ).

fof(f1725,plain,
    ( ~ c2_1(a1178)
    | ~ c0_1(a1178)
    | ~ spl0_21
    | spl0_128 ),
    inference(resolution,[],[f769,f286]) ).

fof(f1727,plain,
    ( ~ spl0_161
    | ~ spl0_129
    | ~ spl0_21
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1725,f768,f285,f773,f1183]) ).

fof(f1737,plain,
    ( ~ c0_1(a1169)
    | c2_1(a1169)
    | ~ spl0_30
    | spl0_143 ),
    inference(resolution,[],[f839,f318]) ).

fof(f1738,plain,
    ( spl0_144
    | ~ spl0_164
    | ~ spl0_30
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1737,f838,f317,f1257,f843]) ).

fof(f1741,plain,
    ( ~ c3_1(a1168)
    | c2_1(a1168)
    | ~ spl0_22
    | ~ spl0_147 ),
    inference(resolution,[],[f291,f858]) ).

fof(f1753,plain,
    ( spl0_146
    | ~ spl0_168
    | ~ spl0_22
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1741,f857,f290,f1525,f852]) ).

fof(f1761,plain,
    ( ~ c3_1(a1211)
    | ~ c2_1(a1211)
    | ~ spl0_33
    | spl0_80 ),
    inference(resolution,[],[f332,f545]) ).

fof(f1768,plain,
    ( ~ c3_1(a1204)
    | ~ c0_1(a1204)
    | ~ spl0_35
    | spl0_90 ),
    inference(resolution,[],[f340,f592]) ).

fof(f1775,plain,
    ( ~ spl0_162
    | ~ spl0_91
    | ~ spl0_35
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1768,f591,f339,f595,f1237]) ).

fof(f1782,plain,
    ( ~ c3_1(a1175)
    | c0_1(a1175)
    | ~ spl0_46
    | ~ spl0_136 ),
    inference(resolution,[],[f387,f806]) ).

fof(f1785,plain,
    ( ~ c3_1(a1182)
    | c0_1(a1182)
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(resolution,[],[f387,f512]) ).

fof(f1790,plain,
    ( spl0_160
    | ~ spl0_71
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1785,f511,f386,f502,f1135]) ).

fof(f1792,plain,
    ( spl0_134
    | ~ spl0_163
    | ~ spl0_46
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1782,f805,f386,f1250,f796]) ).

fof(f1795,plain,
    ( c0_1(a1169)
    | c2_1(a1169)
    | ~ spl0_54
    | spl0_143 ),
    inference(resolution,[],[f423,f839]) ).

fof(f1801,plain,
    ( spl0_144
    | spl0_164
    | ~ spl0_54
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1795,f838,f422,f1257,f843]) ).

fof(f1814,plain,
    ( ~ spl0_151
    | ~ spl0_81
    | ~ spl0_33
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1761,f544,f331,f549,f895]) ).

fof(f1818,plain,
    ( c3_1(a1184)
    | c0_1(a1184)
    | ~ spl0_57
    | spl0_117 ),
    inference(resolution,[],[f437,f718]) ).

fof(f1826,plain,
    ( spl0_118
    | spl0_167
    | ~ spl0_57
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1818,f717,f436,f1378,f721]) ).

fof(f1829,plain,
    ( c0_1(a1172)
    | ~ c2_1(a1172)
    | ~ spl0_59
    | ~ spl0_141 ),
    inference(resolution,[],[f445,f830]) ).

fof(f1841,plain,
    ( c0_1(a1182)
    | ~ c2_1(a1182)
    | ~ spl0_59
    | ~ spl0_71 ),
    inference(resolution,[],[f445,f503]) ).

fof(f1845,plain,
    ( ~ spl0_72
    | spl0_160
    | ~ spl0_59
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1841,f502,f444,f1135,f507]) ).

fof(f1853,plain,
    ( ~ spl0_142
    | spl0_140
    | ~ spl0_59
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1829,f829,f444,f824,f833]) ).

fof(f1856,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_17
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1010,f459,f271,f468,f464]) ).

fof(f1870,plain,
    ( ~ c3_1(a1192)
    | c0_1(a1192)
    | ~ spl0_46
    | ~ spl0_109 ),
    inference(resolution,[],[f680,f387]) ).

fof(f1871,plain,
    ( ~ c3_1(a1192)
    | c2_1(a1192)
    | ~ spl0_22
    | ~ spl0_109 ),
    inference(resolution,[],[f680,f291]) ).

fof(f1873,plain,
    ( spl0_107
    | ~ spl0_150
    | ~ spl0_22
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1871,f679,f290,f879,f670]) ).

fof(f1874,plain,
    ( spl0_108
    | ~ spl0_150
    | ~ spl0_46
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1870,f679,f386,f879,f675]) ).

fof(f1912,plain,
    ( c2_1(a1184)
    | c0_1(a1184)
    | ~ spl0_60
    | spl0_117 ),
    inference(resolution,[],[f450,f718]) ).

fof(f1913,plain,
    ( c2_1(a1204)
    | c0_1(a1204)
    | ~ spl0_60
    | spl0_90 ),
    inference(resolution,[],[f450,f592]) ).

fof(f1922,plain,
    ( spl0_162
    | spl0_89
    | ~ spl0_60
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1913,f591,f449,f586,f1237]) ).

fof(f1923,plain,
    ( spl0_118
    | spl0_116
    | ~ spl0_60
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1912,f717,f449,f712,f721]) ).

fof(f1948,plain,
    ( spl0_149
    | ~ spl0_84
    | ~ spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1493,f558,f431,f563,f869]) ).

fof(f1952,plain,
    ( spl0_105
    | ~ spl0_152
    | ~ spl0_56
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1491,f656,f431,f903,f661]) ).

fof(f1985,plain,
    ( c3_1(a1218)
    | c2_1(a1218)
    | ~ spl0_41
    | spl0_78 ),
    inference(resolution,[],[f536,f367]) ).

fof(f1986,plain,
    ( spl0_158
    | spl0_77
    | ~ spl0_41
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1985,f535,f366,f530,f1053]) ).

fof(f2007,plain,
    ( ~ c2_1(a1174)
    | ~ c0_1(a1174)
    | ~ spl0_21
    | spl0_137 ),
    inference(resolution,[],[f811,f286]) ).

fof(f2008,plain,
    ( ~ c0_1(a1174)
    | c2_1(a1174)
    | ~ spl0_30
    | spl0_137 ),
    inference(resolution,[],[f811,f318]) ).

fof(f2009,plain,
    ( spl0_165
    | ~ spl0_139
    | ~ spl0_30
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2008,f810,f317,f819,f1351]) ).

fof(f2010,plain,
    ( ~ spl0_139
    | ~ spl0_165
    | ~ spl0_21
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2007,f810,f285,f1351,f819]) ).

fof(f2013,plain,
    ( ~ c3_1(a1168)
    | ~ c0_1(a1168)
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(resolution,[],[f324,f858]) ).

fof(f2020,plain,
    ( ~ c3_1(a1182)
    | ~ c0_1(a1182)
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(resolution,[],[f324,f512]) ).

fof(f2026,plain,
    ( ~ spl0_160
    | ~ spl0_71
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2020,f511,f323,f502,f1135]) ).

fof(f2028,plain,
    ( ~ spl0_148
    | ~ spl0_168
    | ~ spl0_31
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2013,f857,f323,f1525,f861]) ).

fof(f2045,plain,
    ( ~ c3_1(a1184)
    | c2_1(a1184)
    | ~ spl0_39
    | spl0_117 ),
    inference(resolution,[],[f356,f718]) ).

fof(f2047,plain,
    ( ~ c3_1(a1204)
    | c2_1(a1204)
    | ~ spl0_39
    | spl0_90 ),
    inference(resolution,[],[f356,f592]) ).

fof(f2055,plain,
    ( spl0_89
    | ~ spl0_91
    | ~ spl0_39
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2047,f591,f355,f595,f586]) ).

fof(f2056,plain,
    ( spl0_116
    | ~ spl0_167
    | ~ spl0_39
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2045,f717,f355,f1378,f712]) ).

fof(f2063,plain,
    ( ~ c0_1(a1204)
    | c2_1(a1204)
    | ~ spl0_40
    | spl0_90 ),
    inference(resolution,[],[f361,f592]) ).

fof(f2069,plain,
    ( spl0_89
    | ~ spl0_162
    | ~ spl0_40
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2063,f591,f360,f1237,f586]) ).

fof(f2072,plain,
    ( ~ c2_1(a1178)
    | c0_1(a1178)
    | ~ spl0_49
    | spl0_128 ),
    inference(resolution,[],[f401,f769]) ).

fof(f2073,plain,
    ( ~ c2_1(a1180)
    | c0_1(a1180)
    | ~ spl0_49
    | spl0_122 ),
    inference(resolution,[],[f401,f741]) ).

fof(f2077,plain,
    ( ~ c2_1(a1194)
    | c0_1(a1194)
    | ~ spl0_49
    | spl0_152 ),
    inference(resolution,[],[f401,f904]) ).

fof(f2079,plain,
    ( ~ c2_1(a1199)
    | c0_1(a1199)
    | ~ spl0_49
    | spl0_98 ),
    inference(resolution,[],[f401,f629]) ).

fof(f2081,plain,
    ( ~ c2_1(a1218)
    | c0_1(a1218)
    | ~ spl0_49
    | spl0_77 ),
    inference(resolution,[],[f401,f531]) ).

fof(f2082,plain,
    ( spl0_79
    | ~ spl0_158
    | ~ spl0_49
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2081,f530,f400,f1053,f539]) ).

fof(f2085,plain,
    ( spl0_99
    | ~ spl0_100
    | ~ spl0_49
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2079,f628,f400,f637,f633]) ).

fof(f2087,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_49
    | spl0_152 ),
    inference(avatar_split_clause,[],[f2077,f903,f400,f665,f661]) ).

fof(f2089,plain,
    ( spl0_123
    | ~ spl0_156
    | ~ spl0_49
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2073,f740,f400,f997,f745]) ).

fof(f2090,plain,
    ( spl0_161
    | ~ spl0_129
    | ~ spl0_49
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2072,f768,f400,f773,f1183]) ).

fof(f2112,plain,
    ( c0_1(a1204)
    | c2_1(a1204)
    | ~ spl0_51
    | ~ spl0_91 ),
    inference(resolution,[],[f409,f596]) ).

fof(f2117,plain,
    ( spl0_89
    | spl0_162
    | ~ spl0_51
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2112,f595,f408,f1237,f586]) ).

fof(f2121,plain,
    ( ~ c3_1(a1204)
    | c0_1(a1204)
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f432,f592]) ).

fof(f2126,plain,
    ( spl0_162
    | ~ spl0_91
    | ~ spl0_56
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2121,f591,f431,f595,f1237]) ).

fof(f2128,plain,
    ( c3_1(a1194)
    | c0_1(a1194)
    | ~ spl0_57
    | spl0_104 ),
    inference(resolution,[],[f437,f657]) ).

fof(f2129,plain,
    ( c3_1(a1218)
    | c0_1(a1218)
    | ~ spl0_57
    | spl0_78 ),
    inference(resolution,[],[f437,f536]) ).

fof(f2130,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_57
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2129,f535,f436,f530,f539]) ).

fof(f2131,plain,
    ( spl0_105
    | spl0_152
    | ~ spl0_57
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2128,f656,f436,f903,f661]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f224]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f231]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s4,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_11 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_7
    | spl0_12 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s8,plain,
    ( spl0_10
    | spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s9,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s11,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_18
    | spl0_21 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s13,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s14,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s16,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_18
    | spl0_30 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s17,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_18
    | spl0_30 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s18,plain,
    ( spl0_10
    | ~ spl0_16
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s20,plain,
    ( spl0_2
    | ~ spl0_16
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s22,plain,
    ( spl0_1
    | spl0_10
    | ~ spl0_16
    | spl0_35 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s23,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s25,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_30
    | spl0_38 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s28,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_40 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s29,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_40 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s30,plain,
    ( ~ spl0_16
    | spl0_25
    | spl0_35
    | spl0_40 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s32,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s34,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s38,plain,
    ( ~ spl0_16
    | spl0_32
    | spl0_38
    | spl0_46 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s39,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s42,plain,
    ( ~ spl0_16
    | spl0_22
    | spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s44,plain,
    ( spl0_7
    | ~ spl0_16
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s46,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_21
    | spl0_52 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s48,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_42
    | spl0_54 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s49,plain,
    ( ~ spl0_16
    | spl0_35
    | spl0_38
    | spl0_54 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s51,plain,
    ( ~ spl0_16
    | spl0_44
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s52,plain,
    ( ~ spl0_16
    | spl0_47
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s53,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_42
    | spl0_57 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | spl0_49
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s56,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_55
    | spl0_57 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s59,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_39
    | spl0_60 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s60,plain,
    ( ~ spl0_16
    | spl0_47
    | spl0_51
    | spl0_60 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s61,plain,
    ( ~ spl0_11
    | spl0_62 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s62,plain,
    ( ~ spl0_11
    | spl0_63 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s63,plain,
    ( ~ spl0_11
    | spl0_64 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s73,plain,
    ( ~ spl0_23
    | spl0_71 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s74,plain,
    ( ~ spl0_23
    | spl0_72 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s75,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s81,plain,
    ( ~ spl0_26
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s82,plain,
    ( ~ spl0_26
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s83,plain,
    ( ~ spl0_26
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s85,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s86,plain,
    ( ~ spl0_18
    | spl0_81 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s87,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s89,plain,
    ( ~ spl0_2
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | spl0_84 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s91,plain,
    ( ~ spl0_2
    | spl0_85 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s92,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s97,plain,
    ( ~ spl0_1
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s98,plain,
    ( ~ spl0_1
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s99,plain,
    ( ~ spl0_1
    | spl0_91 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s100,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s105,plain,
    ( ~ spl0_8
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s106,plain,
    ( ~ spl0_8
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s107,plain,
    ( ~ spl0_8
    | spl0_97 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s109,plain,
    ( ~ spl0_6
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s110,plain,
    ( ~ spl0_6
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s111,plain,
    ( ~ spl0_6
    | spl0_100 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s117,plain,
    ( ~ spl0_4
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s118,plain,
    ( ~ spl0_4
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s119,plain,
    ( ~ spl0_4
    | spl0_106 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s121,plain,
    ( ~ spl0_10
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s122,plain,
    ( ~ spl0_10
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s123,plain,
    ( ~ spl0_10
    | spl0_109 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s125,plain,
    ( ~ spl0_32
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s126,plain,
    ( ~ spl0_32
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s127,plain,
    ( ~ spl0_32
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s129,plain,
    ( ~ spl0_20
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s130,plain,
    ( ~ spl0_20
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s131,plain,
    ( ~ spl0_20
    | spl0_115 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s133,plain,
    ( ~ spl0_15
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s134,plain,
    ( ~ spl0_15
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s135,plain,
    ( ~ spl0_15
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s141,plain,
    ( ~ spl0_3
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s142,plain,
    ( ~ spl0_3
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s143,plain,
    ( ~ spl0_3
    | spl0_124 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s144,plain,
    ( ~ spl0_3
    | spl0_16 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s149,plain,
    ( ~ spl0_5
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s150,plain,
    ( ~ spl0_5
    | spl0_129 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s151,plain,
    ( ~ spl0_5
    | spl0_130 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s157,plain,
    ( ~ spl0_44
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s158,plain,
    ( ~ spl0_44
    | spl0_135 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s159,plain,
    ( ~ spl0_44
    | spl0_136 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s161,plain,
    ( ~ spl0_42
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s162,plain,
    ( ~ spl0_42
    | spl0_138 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s163,plain,
    ( ~ spl0_42
    | spl0_139 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s165,plain,
    ( ~ spl0_9
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s166,plain,
    ( ~ spl0_9
    | spl0_141 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s167,plain,
    ( ~ spl0_9
    | spl0_142 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s169,plain,
    ( ~ spl0_7
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s170,plain,
    ( ~ spl0_7
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s171,plain,
    ( ~ spl0_7
    | spl0_145 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s173,plain,
    ( ~ spl0_12
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s174,plain,
    ( ~ spl0_12
    | spl0_147 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s175,plain,
    ( ~ spl0_12
    | spl0_148 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s180,plain,
    ( ~ spl0_33
    | spl0_80
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s185,plain,
    ( ~ spl0_35
    | spl0_80
    | ~ spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s186,plain,
    ( ~ spl0_35
    | spl0_83
    | ~ spl0_84
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s189,plain,
    ( ~ spl0_38
    | spl0_80
    | ~ spl0_82
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s195,plain,
    ( ~ spl0_40
    | spl0_80
    | ~ spl0_82
    | spl0_151 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s196,plain,
    ( ~ spl0_40
    | spl0_95
    | spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s214,plain,
    ( ~ spl0_35
    | spl0_96
    | ~ spl0_97
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s217,plain,
    ( ~ spl0_41
    | spl0_95
    | spl0_96
    | spl0_153 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s219,plain,
    ( ~ spl0_30
    | spl0_95
    | ~ spl0_97
    | spl0_153 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s231,plain,
    ( ~ spl0_52
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s234,plain,
    ( ~ spl0_17
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1137]) ).

cnf(s245,plain,
    ( ~ spl0_54
    | spl0_107
    | spl0_108
    | spl0_150 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s247,plain,
    ( ~ spl0_54
    | spl0_122
    | spl0_123
    | spl0_156 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s260,plain,
    ( ~ spl0_46
    | ~ spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f1230]) ).

cnf(s268,plain,
    ( ~ spl0_27
    | spl0_122
    | ~ spl0_124
    | spl0_156 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s269,plain,
    ( ~ spl0_27
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s278,plain,
    ( ~ spl0_27
    | spl0_107
    | ~ spl0_109
    | spl0_150 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s281,plain,
    ( ~ spl0_47
    | spl0_122
    | ~ spl0_124
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s282,plain,
    ( ~ spl0_47
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s285,plain,
    ( ~ spl0_50
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s294,plain,
    ( ~ spl0_30
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s305,plain,
    ( ~ spl0_27
    | spl0_137
    | ~ spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f1387]) ).

cnf(s312,plain,
    ( ~ spl0_25
    | ~ spl0_138
    | ~ spl0_139
    | spl0_165 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s322,plain,
    ( ~ spl0_24
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s331,plain,
    ( ~ spl0_55
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1504]) ).

cnf(s341,plain,
    ( ~ spl0_27
    | spl0_146
    | ~ spl0_147
    | spl0_168 ),
    inference(sat_conversion,[],[f1530]) ).

cnf(s343,plain,
    ( ~ spl0_25
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s344,plain,
    ( ~ spl0_24
    | ~ spl0_147
    | ~ spl0_148
    | spl0_168 ),
    inference(sat_conversion,[],[f1534]) ).

cnf(s347,plain,
    ( ~ spl0_54
    | spl0_110
    | spl0_111
    | spl0_112 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s367,plain,
    ( ~ spl0_36
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s376,plain,
    ( ~ spl0_38
    | spl0_80
    | ~ spl0_82
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s380,plain,
    ( ~ spl0_38
    | spl0_83
    | ~ spl0_85
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s395,plain,
    ( ~ spl0_47
    | ~ spl0_135
    | ~ spl0_136
    | spl0_163 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s404,plain,
    ( ~ spl0_51
    | spl0_107
    | spl0_108
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s420,plain,
    ( ~ spl0_33
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s436,plain,
    ( ~ spl0_55
    | spl0_83
    | ~ spl0_85
    | spl0_149 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s442,plain,
    ( ~ spl0_21
    | spl0_128
    | ~ spl0_129
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s446,plain,
    ( ~ spl0_30
    | spl0_143
    | spl0_144
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s449,plain,
    ( ~ spl0_22
    | spl0_146
    | ~ spl0_147
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s453,plain,
    ( ~ spl0_35
    | spl0_90
    | ~ spl0_91
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s455,plain,
    ( ~ spl0_46
    | ~ spl0_71
    | ~ spl0_73
    | spl0_160 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s457,plain,
    ( ~ spl0_46
    | spl0_134
    | ~ spl0_136
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s461,plain,
    ( ~ spl0_54
    | spl0_143
    | spl0_144
    | spl0_164 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s466,plain,
    ( ~ spl0_33
    | spl0_80
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s468,plain,
    ( ~ spl0_57
    | spl0_117
    | spl0_118
    | spl0_167 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s469,plain,
    ( ~ spl0_59
    | ~ spl0_71
    | ~ spl0_72
    | spl0_160 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s475,plain,
    ( ~ spl0_59
    | spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s478,plain,
    ( ~ spl0_17
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s491,plain,
    ( ~ spl0_22
    | spl0_107
    | ~ spl0_109
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s492,plain,
    ( ~ spl0_46
    | spl0_108
    | ~ spl0_109
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s506,plain,
    ( ~ spl0_60
    | spl0_89
    | spl0_90
    | spl0_162 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s507,plain,
    ( ~ spl0_60
    | spl0_116
    | spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f1923]) ).

cnf(s532,plain,
    ( ~ spl0_56
    | spl0_83
    | ~ spl0_84
    | spl0_149 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s536,plain,
    ( ~ spl0_56
    | spl0_104
    | spl0_105
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s564,plain,
    ( ~ spl0_41
    | spl0_77
    | spl0_78
    | spl0_158 ),
    inference(sat_conversion,[],[f1986]) ).

cnf(s575,plain,
    ( ~ spl0_30
    | spl0_137
    | ~ spl0_139
    | spl0_165 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s576,plain,
    ( ~ spl0_21
    | spl0_137
    | ~ spl0_139
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s579,plain,
    ( ~ spl0_31
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s581,plain,
    ( ~ spl0_31
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s585,plain,
    ( ~ spl0_39
    | spl0_89
    | spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s586,plain,
    ( ~ spl0_39
    | spl0_116
    | spl0_117
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2056]) ).

cnf(s588,plain,
    ( ~ spl0_40
    | spl0_89
    | spl0_90
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s590,plain,
    ( ~ spl0_49
    | spl0_77
    | spl0_79
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s592,plain,
    ( ~ spl0_49
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s594,plain,
    ( ~ spl0_49
    | spl0_105
    | ~ spl0_106
    | spl0_152 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s596,plain,
    ( ~ spl0_49
    | spl0_122
    | spl0_123
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2089]) ).

cnf(s597,plain,
    ( ~ spl0_49
    | spl0_128
    | ~ spl0_129
    | spl0_161 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s613,plain,
    ( ~ spl0_51
    | spl0_89
    | ~ spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s616,plain,
    ( ~ spl0_56
    | spl0_90
    | ~ spl0_91
    | spl0_162 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s617,plain,
    ( ~ spl0_57
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s618,plain,
    ( ~ spl0_57
    | spl0_104
    | spl0_105
    | spl0_152 ),
    inference(sat_conversion,[],[f2131]) ).

cnf(s619,plain,
    ( spl0_7
    | spl0_6
    | spl0_4
    | ~ spl0_16 ),
    inference(rat,[],[s185,s85,s86,s87,s16,s219,s214,s30,s196,s343,s105,s106,s107,s173,s174,s175,s3,s6]) ).

cnf(s620,plain,
    ( spl0_40
    | spl0_57
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(rat,[],[s442,s597,s37,s55,s455,s469,s579,s73,s74,s75,s13,s344,s343,s581,s173,s174,s175,s28,s29,s282,s149,s150,s151]) ).

cnf(s621,plain,
    ( ~ spl0_8
    | ~ spl0_40 ),
    inference(rat,[],[s196,s105,s106,s107]) ).

cnf(s622,plain,
    ( ~ spl0_18
    | ~ spl0_35 ),
    inference(rat,[],[s185,s85,s86,s87]) ).

cnf(s623,plain,
    ( ~ spl0_9
    | ~ spl0_59 ),
    inference(rat,[],[s475,s165,s166,s167]) ).

cnf(s624,plain,
    ( ~ spl0_18
    | ~ spl0_40
    | spl0_143
    | spl0_144
    | ~ spl0_16 ),
    inference(rat,[],[s446,s461,s25,s49,s189,s195,s622,s85,s87,s621]) ).

cnf(s625,plain,
    ( ~ spl0_24
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(rat,[],[s322,s161,s162,s163,s42,s449,s344,s144,s285,s141,s142,s143,s175,s174,s173]) ).

cnf(s626,plain,
    ( ~ spl0_72
    | ~ spl0_17
    | ~ spl0_59
    | ~ spl0_71 ),
    inference(rat,[],[s234,s469]) ).

cnf(s627,plain,
    ( ~ spl0_24
    | spl0_57
    | ~ spl0_3 ),
    inference(rat,[],[s322,s161,s162,s163,s53,s625,s144]) ).

cnf(s628,plain,
    ( ~ spl0_12
    | ~ spl0_25 ),
    inference(rat,[],[s343,s173,s174,s175]) ).

cnf(s629,plain,
    ( ~ spl0_25
    | ~ spl0_21
    | spl0_57
    | ~ spl0_16 ),
    inference(rat,[],[s576,s312,s161,s162,s163,s53,s628]) ).

cnf(s630,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s626,s73,s74,s13,s629,s627,s9,s623,s55,s597,s442,s11,s624,s620,s617,s81,s82,s83,s14,s269,s169,s170,s171,s144,s150,s149]) ).

cnf(s631,plain,
    ( spl0_57
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73
    | spl0_49
    | spl0_7
    | ~ spl0_5
    | ~ spl0_16 ),
    inference(rat,[],[s404,s278,s44,s23,s180,s195,s622,s85,s86,s87,s121,s122,s123,s9,s367,s4,s626,s469,s623,s621,s55,s620]) ).

cnf(s633,plain,
    ( ~ spl0_42
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(rat,[],[s575,s576,s161,s163]) ).

cnf(s634,plain,
    ( ~ spl0_26
    | ~ spl0_57 ),
    inference(rat,[],[s617,s81,s82,s83]) ).

cnf(s635,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s404,s245,s121,s122,s44,s49,s22,s180,s189,s195,s622,s85,s86,s87,s11,s576,s305,s161,s162,s163,s42,s29,s449,s581,s341,s14,s634,s631,s73,s74,s75,s592,s13,s109,s110,s111,s628,s625,s173,s174,s175,s619,s6,s630,s2,s144,s285,s141,s142,s143,s1]) ).

cnf(s636,plain,
    ( ~ spl0_59
    | spl0_18
    | ~ spl0_23
    | ~ spl0_16 ),
    inference(rat,[],[s9,s626,s623,s74,s73]) ).

cnf(s637,plain,
    ( ~ spl0_5
    | ~ spl0_47 ),
    inference(rat,[],[s282,s149,s150,s151]) ).

cnf(s638,plain,
    ( spl0_77
    | ~ spl0_41
    | spl0_78
    | spl0_79
    | ~ spl0_49 ),
    inference(rat,[],[s564,s590]) ).

cnf(s639,plain,
    ( ~ spl0_49
    | spl0_25
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s81,s638,s34,s82,s83,s637,s52,s14,s536,s268,s594,s596,s144,s143,s142,s141,s1,s331,s117,s118,s119,s635]) ).

cnf(s640,plain,
    ( spl0_57
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s347,s125,s126,s127,s20,s49,s180,s189,s195,s29,s622,s85,s86,s87,s579,s636,s469,s55,s639,s73,s74,s75,s13,s628,s56,s627,s144,s1,s331,s117,s118,s119,s635]) ).

cnf(s641,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s281,s52,s268,s536,s14,s618,s634,s640,s331,s117,s118,s119,s635,s141,s143,s144,s1]) ).

cnf(s642,plain,
    ( ~ spl0_25
    | spl0_57
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s37,s492,s281,s245,s247,s121,s122,s123,s49,s22,s380,s186,s436,s56,s629,s628,s92,s91,s90,s89,s641,s143,s142,s141]) ).

cnf(s643,plain,
    ( spl0_18
    | spl0_57
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s536,s52,s594,s260,s117,s118,s119,s37,s11,s442,s597,s637,s149,s150,s34,s638,s81,s82,s83,s14,s268,s596,s55,s636,s143,s142,s141,s13,s642,s92,s641,s627]) ).

cnf(s644,plain,
    ( spl0_57
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s633,s42,s37,s491,s492,s281,s245,s247,s49,s25,s376,s121,s122,s123,s195,s621,s22,s30,s622,s85,s87,s643,s642,s92,s641,s285,s141,s142,s143]) ).

cnf(s645,plain,
    ( ~ spl0_4
    | spl0_47
    | ~ spl0_57
    | ~ spl0_16 ),
    inference(rat,[],[s536,s52,s618,s331,s117,s118,s119]) ).

cnf(s646,plain,
    ( ~ spl0_7
    | ~ spl0_27 ),
    inference(rat,[],[s269,s169,s170,s171]) ).

cnf(s647,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s278,s492,s121,s122,s123,s22,s622,s37,s11,s576,s305,s161,s162,s163,s42,s449,s341,s173,s174,s6,s646,s645,s281,s268,s14,s634,s644,s285,s141,s142,s143,s92,s641]) ).

cnf(s648,plain,
    ( ~ spl0_25
    | spl0_18
    | spl0_57
    | ~ spl0_16 ),
    inference(rat,[],[s331,s117,s118,s119,s11,s56,s629,s628]) ).

cnf(s649,plain,
    ( ~ spl0_26
    | ~ spl0_41
    | ~ spl0_49 ),
    inference(rat,[],[s638,s81,s82,s83]) ).

cnf(s650,plain,
    ( ~ spl0_6
    | ~ spl0_49 ),
    inference(rat,[],[s592,s109,s110,s111]) ).

cnf(s651,plain,
    ( spl0_4
    | ~ spl0_49
    | spl0_18
    | spl0_1 ),
    inference(rat,[],[s649,s14,s32,s646,s633,s619,s16,s11,s92,s641,s478,s61,s62,s63,s5,s647,s650]) ).

cnf(s652,plain,
    ( spl0_18
    | spl0_57
    | spl0_1 ),
    inference(rat,[],[s29,s621,s581,s3,s341,s646,s14,s649,s34,s637,s173,s174,s175,s52,s56,s536,s331,s594,s117,s118,s119,s651,s650,s648,s55,s623,s9,s92,s641,s478,s61,s62,s63,s5,s647]) ).

cnf(s653,plain,
    ( spl0_57
    | spl0_1 ),
    inference(rat,[],[s347,s125,s126,s127,s38,s492,s245,s49,s376,s195,s30,s629,s46,s231,s121,s122,s123,s22,s622,s85,s87,s652,s92,s641,s647]) ).

cnf(s654,plain,
    ( ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s404,s278,s121,s122,s123,s44,s646,s14,s634,s653,s92,s420,s89,s90,s91,s641]) ).

cnf(s655,plain,
    spl0_1,
    inference(rat,[],[s294,s18,s129,s130,s131,s581,s39,s341,s457,s395,s173,s174,s175,s157,s158,s159,s59,s51,s52,s507,s586,s468,s532,s436,s133,s134,s135,s186,s8,s22,s654,s14,s634,s653,s478,s61,s62,s63,s5,s647,s89,s90,s91,s92,s641]) ).

cnf(s656,plain,
    spl0_16,
    inference(rat,[],[s100,s655]) ).

cnf(s657,plain,
    spl0_91,
    inference(rat,[],[s99,s655]) ).

cnf(s658,plain,
    ~ spl0_90,
    inference(rat,[],[s98,s655]) ).

cnf(s659,plain,
    ~ spl0_89,
    inference(rat,[],[s97,s655]) ).

cnf(s660,plain,
    ~ spl0_39,
    inference(rat,[],[s585,s657,s658,s659]) ).

cnf(s661,plain,
    spl0_12,
    inference(rat,[],[s506,s588,s59,s28,s658,s659,s656,s660]) ).

cnf(s665,plain,
    ~ spl0_25,
    inference(rat,[],[s628,s661]) ).

cnf(s668,plain,
    ( ~ spl0_7
    | ~ spl0_54
    | ~ spl0_30 ),
    inference(rat,[],[s461,s446,s169,s170]) ).

cnf(s669,plain,
    ~ spl0_162,
    inference(rat,[],[s30,s588,s453,s656,s665,s658,s659,s657]) ).

cnf(s670,plain,
    ~ spl0_51,
    inference(rat,[],[s613,s659,s657,s669]) ).

cnf(s671,plain,
    ~ spl0_60,
    inference(rat,[],[s506,s659,s658,s669]) ).

cnf(s672,plain,
    ~ spl0_56,
    inference(rat,[],[s616,s658,s657,s669]) ).

cnf(s673,plain,
    spl0_47,
    inference(rat,[],[s60,s670,s656,s671]) ).

cnf(s674,plain,
    ~ spl0_5,
    inference(rat,[],[s637,s673]) ).

cnf(s675,plain,
    spl0_41,
    inference(rat,[],[s34,s665,s656,s674]) ).

cnf(s676,plain,
    ( spl0_4
    | spl0_18 ),
    inference(rat,[],[s44,s668,s420,s48,s89,s90,s91,s633,s2,s16,s11,s674,s670,s656]) ).

cnf(s678,plain,
    ~ spl0_18,
    inference(rat,[],[s668,s49,s25,s44,s376,s466,s195,s621,s30,s622,s85,s86,s87,s656,s670,s665]) ).

cnf(s680,plain,
    spl0_4,
    inference(rat,[],[s676,s678]) ).

cnf(s681,plain,
    spl0_106,
    inference(rat,[],[s119,s680]) ).

cnf(s682,plain,
    ~ spl0_105,
    inference(rat,[],[s118,s680]) ).

cnf(s683,plain,
    ~ spl0_104,
    inference(rat,[],[s117,s680]) ).

cnf(s684,plain,
    ~ spl0_55,
    inference(rat,[],[s331,s681,s682,s683]) ).

cnf(s685,plain,
    spl0_44,
    inference(rat,[],[s51,s672,s656,s684]) ).

cnf(s686,plain,
    spl0_136,
    inference(rat,[],[s159,s685]) ).

cnf(s687,plain,
    spl0_135,
    inference(rat,[],[s158,s685]) ).

cnf(s688,plain,
    ~ spl0_134,
    inference(rat,[],[s157,s685]) ).

cnf(s689,plain,
    spl0_163,
    inference(rat,[],[s395,s686,s673,s687]) ).

cnf(s690,plain,
    ~ spl0_46,
    inference(rat,[],[s457,s689,s686,s688]) ).

cnf(s692,plain,
    spl0_20,
    inference(rat,[],[s39,s660,s656,s690]) ).

cnf(s693,plain,
    spl0_115,
    inference(rat,[],[s131,s692]) ).

cnf(s694,plain,
    ~ spl0_114,
    inference(rat,[],[s130,s692]) ).

cnf(s695,plain,
    ~ spl0_113,
    inference(rat,[],[s129,s692]) ).

cnf(s696,plain,
    ~ spl0_30,
    inference(rat,[],[s294,s693,s694,s695]) ).

cnf(s697,plain,
    spl0_8,
    inference(rat,[],[s17,s656,s678,s696]) ).

cnf(s698,plain,
    spl0_97,
    inference(rat,[],[s107,s697]) ).

cnf(s699,plain,
    ~ spl0_96,
    inference(rat,[],[s106,s697]) ).

cnf(s700,plain,
    ~ spl0_95,
    inference(rat,[],[s105,s697]) ).

cnf(s701,plain,
    ~ spl0_40,
    inference(rat,[],[s621,s697]) ).

cnf(s702,plain,
    spl0_153,
    inference(rat,[],[s217,s675,s699,s700]) ).

cnf(s704,plain,
    spl0_35,
    inference(rat,[],[s30,s665,s656,s701]) ).

cnf(s705,plain,
    $false,
    inference(rat,[],[s214,s699,s698,s704,s702]) ).

fof(f2132,plain,
    $false,
    inference(avatar_sat_refutation,[],[s705]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN461+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n008.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 16:08:09 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.99/1.11  % (2370452)Detected formulas, will run a generic FOF schedule.
% 2.99/1.11  % (2370458)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=2611189512:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.11  % (2370459)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=1305479625:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.11  % (2370462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1215035571:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.11  % (2370457)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=363593452:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.11  % (2370461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=440892929:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.11  % (2370460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3042699758:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.11  % (2370463)dis-21_1_sil=8000:lcm=predicate:random_seed=3261068938:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.99/1.11  % (2370463)First to succeed.
% 2.99/1.11  % (2370463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2370452"
% 2.99/1.11  % (2370462)Also succeeded, but the first one will report.
% 2.99/1.11  % (2370461)Instruction limit reached! 
% 2.99/1.11  % (2370461)------------------------------
% 2.99/1.11  % (2370461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.11  % (2370461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.11  % (2370461)CaDiCaL version: 2.1.3
% 2.99/1.11  % (2370461)Termination reason: Instruction limit
% 2.99/1.11  % (2370461)Termination phase: Saturation
% 2.99/1.11  % (2370461)Time elapsed: 0.058 s
% 2.99/1.11  % (2370461)Peak memory usage: 88 MB
% 2.99/1.11  % (2370461)Instructions burned: 121 (million)
% 2.99/1.11  % (2370460)Instruction limit reached! 
% 2.99/1.11  % (2370460)------------------------------
% 2.99/1.11  % (2370460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.11  % (2370460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.11  % (2370460)CaDiCaL version: 2.1.3
% 2.99/1.11  % (2370460)Termination reason: Instruction limit
% 2.99/1.11  % (2370460)Termination phase: Saturation
% 2.99/1.11  % (2370460)Time elapsed: 0.069 s
% 2.99/1.11  % (2370460)Peak memory usage: 90 MB
% 2.99/1.11  % (2370460)Instructions burned: 110 (million)
% 2.99/1.11  % (2370471)lrs+10_1_sil=8000:sp=occurrence:random_seed=2240609741:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.99/1.11  % (2370472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4212708381:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.99/1.11  % (2370471)Also succeeded, but the first one will report.
% 2.99/1.11  % (2370472)Also succeeded, but the first one will report.
% 2.99/1.11  % (2370463)Refutation found. Thanks to Tanya!
% 2.99/1.11  % SZS status Theorem for theBenchmark
% 2.99/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.20  % (2370463)------------------------------
% 0.19/1.20  % (2370463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.20  % (2370463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.20  % (2370463)CaDiCaL version: 2.1.3
% 0.19/1.20  % (2370463)Termination reason: Refutation
% 0.19/1.20  % (2370463)Time elapsed: 0.035 s
% 0.19/1.20  % (2370463)Peak memory usage: 90 MB
% 0.19/1.20  % (2370463)Instructions burned: 58 (million)
% 0.19/1.20  % (2370463)------------------------------
% 0.19/1.20  % (2370463)------------------------------
% 0.19/1.20  % (2370452)Success in time 0.442 s
% 0.19/1.20  % Vampire exiting
%------------------------------------------------------------------------------