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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN507+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:59:49 PM UTC 2026

% Result   : Theorem 3.20s 1.08s
% Output   : Refutation 3.67s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a584)
          & ~ c0_1(a584)
          & ~ c2_1(a584) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a585)
          & c2_1(a585)
          & ~ c0_1(a585) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a586)
          & c2_1(a586)
          & ~ c3_1(a586) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a587)
          & c2_1(a587)
          & ~ c1_1(a587) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a588)
          & ~ c1_1(a588)
          & ~ c2_1(a588) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a589)
          & c1_1(a589)
          & ~ c2_1(a589) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a590)
          & c3_1(a590)
          & ~ c0_1(a590) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a592)
          & ~ c0_1(a592)
          & ~ c3_1(a592) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a593)
          & c3_1(a593)
          & ~ c2_1(a593) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a595)
          & ~ c1_1(a595)
          & ~ c3_1(a595) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a598)
          & c3_1(a598)
          & ~ c1_1(a598) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a599)
          & c3_1(a599)
          & ~ c1_1(a599) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a600)
          & c2_1(a600)
          & ~ c3_1(a600) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c0_1(a601)
          & ~ c1_1(a601)
          & ~ c2_1(a601) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a603)
          & ~ c1_1(a603)
          & ~ c3_1(a603) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a604)
          & c3_1(a604)
          & ~ c0_1(a604) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a606)
          & ~ c2_1(a606)
          & ~ c3_1(a606) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a607)
          & ~ c1_1(a607)
          & ~ c2_1(a607) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a610)
          & ~ c0_1(a610)
          & ~ c2_1(a610) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a617)
          & ~ c0_1(a617)
          & ~ c1_1(a617) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c1_1(a623)
          & ~ c2_1(a623)
          & ~ c3_1(a623) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a629)
          & ~ c2_1(a629)
          & ~ c3_1(a629) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a633)
          & ~ c0_1(a633)
          & ~ c3_1(a633) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a636)
          & ~ c0_1(a636)
          & ~ c1_1(a636) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a648)
          & c1_1(a648)
          & ~ c3_1(a648) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a651)
          & ~ c1_1(a651)
          & ~ c3_1(a651) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a583)
          & c1_1(a583)
          & c2_1(a583) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a611)
          & c1_1(a611)
          & c3_1(a611) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a612)
          & c2_1(a612)
          & c3_1(a612) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a678)
          & c2_1(a678)
          & c3_1(a678) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp26
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c3_1(X3)
              | ~ c0_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) )
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c3_1(X7)
              | ~ c2_1(X7) ) )
        | hskp2 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | hskp3
        | hskp4 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | ~ c1_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp5
        | hskp6 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp2
        | hskp7 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c1_1(X15)
              | ~ c2_1(X15) ) )
        | hskp8 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | hskp26 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) )
        | hskp9 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | hskp8
        | hskp6 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | ~ c0_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c2_1(X28)
              | ~ c0_1(X28) ) )
        | hskp10 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | ~ c2_1(X30)
              | ~ c3_1(X30) ) )
        | hskp11 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp12
        | hskp13 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | hskp4
        | hskp14 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | hskp15
        | hskp13 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c3_1(X35)
              | ~ c2_1(X35) ) )
        | hskp16 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp17 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | hskp10
        | hskp7 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c3_1(X40)
              | ~ c0_1(X40) ) )
        | hskp18 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c1_1(X42) ) )
        | hskp27 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c0_1(X44)
              | ~ c2_1(X44) ) )
        | hskp28 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | ~ c0_1(X47)
              | ~ c2_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp14 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | hskp8
        | hskp18 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp12 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp19
        | hskp13 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c0_1(X58)
              | ~ c3_1(X58) ) )
        | hskp8 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c0_1(X60)
              | ~ c1_1(X60) ) )
        | hskp16 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c3_1(X62)
              | ~ c1_1(X62)
              | ~ c2_1(X62) ) )
        | hskp15 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp7
        | hskp20 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | c3_1(X65)
              | ~ c0_1(X65) ) )
        | hskp16 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp10
        | hskp4 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | hskp26 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | hskp1 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | hskp21
        | hskp11 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | hskp28
        | hskp8 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c0_1(X73) ) )
        | hskp22
        | hskp6 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp3 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp23 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | hskp3
        | hskp4 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp15 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | hskp11
        | hskp23 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c2_1(X86) ) )
        | hskp28 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp14
        | hskp23 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c0_1(X89)
              | ~ c2_1(X89) ) )
        | hskp8 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c0_1(X90) ) )
        | hskp3
        | hskp16 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | hskp24 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | hskp8
        | hskp6 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp25
        | hskp9 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | hskp15
        | hskp25 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp0
        | hskp11 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp26
        | hskp28 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp5
        | hskp24 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | hskp21
        | hskp8 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | hskp15
        | hskp11 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp14 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp3
        | hskp17 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp3
        | hskp17 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp4
        | hskp17 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) )
        | hskp27
        | hskp8 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c0_1(X107)
              | ~ c2_1(X107) ) )
        | hskp14
        | hskp22 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp7
        | hskp20 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp29
        | hskp15 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | hskp29
        | hskp18 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c2_1(X112)
              | ~ c3_1(X112) ) )
        | hskp10 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp29
        | hskp14 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | ~ c3_1(X114) ) )
        | hskp19
        | hskp20 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp12
        | hskp10 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp10
        | hskp1 )
      & ( hskp26
        | hskp12
        | hskp8 )
      & ( hskp26
        | hskp11 )
      & ( hskp29
        | hskp22
        | hskp17 )
      & ( hskp29
        | hskp7
        | hskp17 )
      & ( hskp14
        | hskp21
        | hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a584)
            & ~ c0_1(a584)
            & ~ c2_1(a584) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a585)
            & c2_1(a585)
            & ~ c0_1(a585) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a586)
            & c2_1(a586)
            & ~ c3_1(a586) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a587)
            & c2_1(a587)
            & ~ c1_1(a587) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a588)
            & ~ c1_1(a588)
            & ~ c2_1(a588) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a589)
            & c1_1(a589)
            & ~ c2_1(a589) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a590)
            & c3_1(a590)
            & ~ c0_1(a590) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a592)
            & ~ c0_1(a592)
            & ~ c3_1(a592) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a593)
            & c3_1(a593)
            & ~ c2_1(a593) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a595)
            & ~ c1_1(a595)
            & ~ c3_1(a595) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a598)
            & c3_1(a598)
            & ~ c1_1(a598) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a599)
            & c3_1(a599)
            & ~ c1_1(a599) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a600)
            & c2_1(a600)
            & ~ c3_1(a600) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a601)
            & ~ c1_1(a601)
            & ~ c2_1(a601) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a603)
            & ~ c1_1(a603)
            & ~ c3_1(a603) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a604)
            & c3_1(a604)
            & ~ c0_1(a604) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a606)
            & ~ c2_1(a606)
            & ~ c3_1(a606) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a607)
            & ~ c1_1(a607)
            & ~ c2_1(a607) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a610)
            & ~ c0_1(a610)
            & ~ c2_1(a610) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a617)
            & ~ c0_1(a617)
            & ~ c1_1(a617) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c1_1(a623)
            & ~ c2_1(a623)
            & ~ c3_1(a623) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a629)
            & ~ c2_1(a629)
            & ~ c3_1(a629) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a633)
            & ~ c0_1(a633)
            & ~ c3_1(a633) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a636)
            & ~ c0_1(a636)
            & ~ c1_1(a636) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a648)
            & c1_1(a648)
            & ~ c3_1(a648) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a651)
            & ~ c1_1(a651)
            & ~ c3_1(a651) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a583)
            & c1_1(a583)
            & c2_1(a583) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a611)
            & c1_1(a611)
            & c3_1(a611) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a612)
            & c2_1(a612)
            & c3_1(a612) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a678)
            & c2_1(a678)
            & c3_1(a678) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp26
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c3_1(X7)
                | ~ c2_1(X7) ) )
          | hskp2 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | hskp3
          | hskp4 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | ~ c1_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp5
          | hskp6 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp2
          | hskp7 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c1_1(X15)
                | ~ c2_1(X15) ) )
          | hskp8 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | hskp26 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp9 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | hskp8
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | ~ c0_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c2_1(X28)
                | ~ c0_1(X28) ) )
          | hskp10 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | ~ c2_1(X30)
                | ~ c3_1(X30) ) )
          | hskp11 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp12
          | hskp13 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | hskp4
          | hskp14 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp15
          | hskp13 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | hskp16 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp17 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | hskp10
          | hskp7 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c3_1(X40)
                | ~ c0_1(X40) ) )
          | hskp18 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c1_1(X42) ) )
          | hskp27 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c0_1(X44)
                | ~ c2_1(X44) ) )
          | hskp28 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c0_1(X47)
                | ~ c2_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp8
          | hskp18 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp12 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp19
          | hskp13 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c0_1(X58)
                | ~ c3_1(X58) ) )
          | hskp8 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c1_1(X60) ) )
          | hskp16 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c3_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) )
          | hskp15 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp7
          | hskp20 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | hskp16 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp10
          | hskp4 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | hskp26 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp21
          | hskp11 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | hskp28
          | hskp8 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c0_1(X73) ) )
          | hskp22
          | hskp6 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp3 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp23 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | hskp3
          | hskp4 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp15 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | hskp11
          | hskp23 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) )
          | hskp28 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp14
          | hskp23 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c0_1(X89)
                | ~ c2_1(X89) ) )
          | hskp8 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | hskp3
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | hskp24 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | hskp8
          | hskp6 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp25
          | hskp9 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp15
          | hskp25 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp0
          | hskp11 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp26
          | hskp28 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp5
          | hskp24 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp21
          | hskp8 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | hskp15
          | hskp11 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp14 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp3
          | hskp17 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp3
          | hskp17 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp4
          | hskp17 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) )
          | hskp27
          | hskp8 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c2_1(X107) ) )
          | hskp14
          | hskp22 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp7
          | hskp20 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp29
          | hskp15 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | hskp29
          | hskp18 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp10 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp29
          | hskp14 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) )
          | hskp19
          | hskp20 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp12
          | hskp10 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp10
          | hskp1 )
        & ( hskp26
          | hskp12
          | hskp8 )
        & ( hskp26
          | hskp11 )
        & ( hskp29
          | hskp22
          | hskp17 )
        & ( hskp29
          | hskp7
          | hskp17 )
        & ( hskp14
          | hskp21
          | hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a584)
        & ~ c0_1(a584)
        & ~ c2_1(a584) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a585)
        & c2_1(a585)
        & ~ c0_1(a585) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a586)
        & c2_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a587)
        & c2_1(a587)
        & ~ c1_1(a587) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a588)
        & ~ c1_1(a588)
        & ~ c2_1(a588) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a589)
        & c1_1(a589)
        & ~ c2_1(a589) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a590)
        & c3_1(a590)
        & ~ c0_1(a590) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a592)
        & ~ c0_1(a592)
        & ~ c3_1(a592) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a593)
        & c3_1(a593)
        & ~ c2_1(a593) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a595)
        & ~ c1_1(a595)
        & ~ c3_1(a595) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a598)
        & c3_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a601)
        & ~ c1_1(a601)
        & ~ c2_1(a601) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a604)
        & c3_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a606)
        & ~ c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a607)
        & ~ c1_1(a607)
        & ~ c2_1(a607) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a610)
        & ~ c0_1(a610)
        & ~ c2_1(a610) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a617)
        & ~ c0_1(a617)
        & ~ c1_1(a617) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a623)
        & ~ c2_1(a623)
        & ~ c3_1(a623) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a629)
        & ~ c2_1(a629)
        & ~ c3_1(a629) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a633)
        & ~ c0_1(a633)
        & ~ c3_1(a633) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a648)
        & c1_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a651)
        & ~ c1_1(a651)
        & ~ c3_1(a651) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a583)
        & c1_1(a583)
        & c2_1(a583) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a611)
        & c1_1(a611)
        & c3_1(a611) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a612)
        & c2_1(a612)
        & c3_1(a612) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a678)
        & c2_1(a678)
        & c3_1(a678) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c3_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c1_1(X5)
            | ~ c3_1(X5) ) )
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | c3_1(X7)
            | ~ c2_1(X7) ) )
      | hskp2 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | hskp3
      | hskp4 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | ~ c1_1(X11)
            | ~ c3_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp5
      | hskp6 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp2
      | hskp7 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c1_1(X15)
            | ~ c2_1(X15) ) )
      | hskp8 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | c2_1(X17)
            | c3_1(X17) ) )
      | hskp26 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp9 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | hskp8
      | hskp6 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | ~ c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | ~ c0_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c2_1(X28)
            | ~ c0_1(X28) ) )
      | hskp10 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | ~ c2_1(X30)
            | ~ c3_1(X30) ) )
      | hskp11 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | hskp4
      | hskp14 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | hskp15
      | hskp13 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | hskp16 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | ~ c0_1(X37)
            | ~ c2_1(X37) ) )
      | hskp17 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | hskp10
      | hskp7 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c3_1(X40)
            | ~ c0_1(X40) ) )
      | hskp18 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c0_1(X42)
            | ~ c1_1(X42) ) )
      | hskp27 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c0_1(X44)
            | ~ c2_1(X44) ) )
      | hskp28 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c0_1(X47)
            | ~ c2_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c0_1(X49) ) )
      | hskp14 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c2_1(X50) ) )
      | hskp8
      | hskp18 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | hskp12 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | hskp19
      | hskp13 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c0_1(X58)
            | ~ c3_1(X58) ) )
      | hskp8 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c3_1(X60)
            | ~ c0_1(X60)
            | ~ c1_1(X60) ) )
      | hskp16 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c3_1(X62)
            | ~ c1_1(X62)
            | ~ c2_1(X62) ) )
      | hskp15 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | hskp7
      | hskp20 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | hskp16 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | hskp10
      | hskp4 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c0_1(X68)
            | ~ c2_1(X68) ) )
      | hskp26 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | ~ c0_1(X70)
            | ~ c2_1(X70) ) )
      | hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | hskp21
      | hskp11 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | hskp28
      | hskp8 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c0_1(X73) ) )
      | hskp22
      | hskp6 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp3 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp23 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c2_1(X81) ) )
      | hskp3
      | hskp4 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp15 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | hskp11
      | hskp23 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c1_1(X86)
            | ~ c2_1(X86) ) )
      | hskp28 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp14
      | hskp23 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c0_1(X89)
            | ~ c2_1(X89) ) )
      | hskp8 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c3_1(X90)
            | ~ c0_1(X90) ) )
      | hskp3
      | hskp16 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c1_1(X92) ) )
      | hskp24 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | hskp8
      | hskp6 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c3_1(X94)
            | ~ c1_1(X94) ) )
      | hskp25
      | hskp9 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp15
      | hskp25 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp0
      | hskp11 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp26
      | hskp28 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp5
      | hskp24 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c0_1(X99)
            | ~ c3_1(X99) ) )
      | hskp21
      | hskp8 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | hskp15
      | hskp11 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c1_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp14 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp3
      | hskp17 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp4
      | hskp17 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c2_1(X106) ) )
      | hskp27
      | hskp8 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c0_1(X107)
            | ~ c2_1(X107) ) )
      | hskp14
      | hskp22 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp7
      | hskp20 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | hskp29
      | hskp15 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c1_1(X110)
            | ~ c2_1(X110) ) )
      | hskp29
      | hskp18 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c2_1(X112)
            | ~ c3_1(X112) ) )
      | hskp10 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | hskp29
      | hskp14 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c1_1(X114)
            | ~ c3_1(X114) ) )
      | hskp19
      | hskp20 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c2_1(X115)
            | ~ c3_1(X115) ) )
      | hskp12
      | hskp10 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c2_1(X116)
            | ~ c3_1(X116) ) )
      | hskp10
      | hskp1 )
    & ( hskp26
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp11 )
    & ( hskp29
      | hskp22
      | hskp17 )
    & ( hskp29
      | hskp7
      | hskp17 )
    & ( hskp14
      | hskp21
      | hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a584)
        & ~ c0_1(a584)
        & ~ c2_1(a584) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a585)
        & c2_1(a585)
        & ~ c0_1(a585) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a586)
        & c2_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a587)
        & c2_1(a587)
        & ~ c1_1(a587) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a588)
        & ~ c1_1(a588)
        & ~ c2_1(a588) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a589)
        & c1_1(a589)
        & ~ c2_1(a589) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a590)
        & c3_1(a590)
        & ~ c0_1(a590) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a592)
        & ~ c0_1(a592)
        & ~ c3_1(a592) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a593)
        & c3_1(a593)
        & ~ c2_1(a593) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a595)
        & ~ c1_1(a595)
        & ~ c3_1(a595) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a598)
        & c3_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a601)
        & ~ c1_1(a601)
        & ~ c2_1(a601) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a604)
        & c3_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a606)
        & ~ c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a607)
        & ~ c1_1(a607)
        & ~ c2_1(a607) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a610)
        & ~ c0_1(a610)
        & ~ c2_1(a610) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a617)
        & ~ c0_1(a617)
        & ~ c1_1(a617) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a623)
        & ~ c2_1(a623)
        & ~ c3_1(a623) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a629)
        & ~ c2_1(a629)
        & ~ c3_1(a629) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a633)
        & ~ c0_1(a633)
        & ~ c3_1(a633) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a648)
        & c1_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a651)
        & ~ c1_1(a651)
        & ~ c3_1(a651) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a583)
        & c1_1(a583)
        & c2_1(a583) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a611)
        & c1_1(a611)
        & c3_1(a611) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a612)
        & c2_1(a612)
        & c3_1(a612) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a678)
        & c2_1(a678)
        & c3_1(a678) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | c3_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp8
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp4
      | hskp14 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp10
      | hskp7 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c0_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp8
      | hskp18 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c3_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp10
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp22
      | hskp6 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp11
      | hskp23 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp3
      | hskp16 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp8
      | hskp6 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp25
      | hskp9 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp15
      | hskp25 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp26
      | hskp28 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp24 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp21
      | hskp8 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp27
      | hskp8 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp15 )
    & ( ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp29
      | hskp18 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp29
      | hskp14 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp12
      | hskp10 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( hskp26
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp11 )
    & ( hskp29
      | hskp22
      | hskp17 )
    & ( hskp29
      | hskp7
      | hskp17 )
    & ( hskp14
      | hskp21
      | hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a584)
        & ~ c0_1(a584)
        & ~ c2_1(a584) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a585)
        & c2_1(a585)
        & ~ c0_1(a585) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a586)
        & c2_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a587)
        & c2_1(a587)
        & ~ c1_1(a587) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a588)
        & ~ c1_1(a588)
        & ~ c2_1(a588) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a589)
        & c1_1(a589)
        & ~ c2_1(a589) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a590)
        & c3_1(a590)
        & ~ c0_1(a590) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a592)
        & ~ c0_1(a592)
        & ~ c3_1(a592) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a593)
        & c3_1(a593)
        & ~ c2_1(a593) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a595)
        & ~ c1_1(a595)
        & ~ c3_1(a595) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a598)
        & c3_1(a598)
        & ~ c1_1(a598) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a601)
        & ~ c1_1(a601)
        & ~ c2_1(a601) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c3_1(a603) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a604)
        & c3_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a606)
        & ~ c2_1(a606)
        & ~ c3_1(a606) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a607)
        & ~ c1_1(a607)
        & ~ c2_1(a607) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a610)
        & ~ c0_1(a610)
        & ~ c2_1(a610) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a617)
        & ~ c0_1(a617)
        & ~ c1_1(a617) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c1_1(a623)
        & ~ c2_1(a623)
        & ~ c3_1(a623) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a629)
        & ~ c2_1(a629)
        & ~ c3_1(a629) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a633)
        & ~ c0_1(a633)
        & ~ c3_1(a633) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a648)
        & c1_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a651)
        & ~ c1_1(a651)
        & ~ c3_1(a651) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a583)
        & c1_1(a583)
        & c2_1(a583) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a611)
        & c1_1(a611)
        & c3_1(a611) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a612)
        & c2_1(a612)
        & c3_1(a612) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a678)
        & c2_1(a678)
        & c3_1(a678) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | c3_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp8
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp4
      | hskp14 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp10
      | hskp7 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c3_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c0_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp8
      | hskp18 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c3_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c3_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp10
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp21
      | hskp11 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp28
      | hskp8 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp22
      | hskp6 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp11
      | hskp23 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp23 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp3
      | hskp16 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp8
      | hskp6 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp25
      | hskp9 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp15
      | hskp25 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp26
      | hskp28 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp5
      | hskp24 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp21
      | hskp8 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp15
      | hskp11 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp3
      | hskp17 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp4
      | hskp17 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | hskp27
      | hskp8 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp7
      | hskp20 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp15 )
    & ( ! [X110] :
          ( c3_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp29
      | hskp18 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp29
      | hskp14 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp12
      | hskp10 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( hskp26
      | hskp12
      | hskp8 )
    & ( hskp26
      | hskp11 )
    & ( hskp29
      | hskp22
      | hskp17 )
    & ( hskp29
      | hskp7
      | hskp17 )
    & ( hskp14
      | hskp21
      | hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp14
    | hskp21
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp29
    | hskp7
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp26
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp26
    | hskp12
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X115] :
      ( ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp12
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X114] :
      ( ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X111,X112] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | ~ c1_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | ~ c2_1(X108)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X107] :
      ( c3_1(X107)
      | ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X106] :
      ( c3_1(X106)
      | ~ c0_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0
      | hskp27
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X105] :
      ( c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | hskp4
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X104] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | hskp3
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X103] :
      ( c2_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp3
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X101,X102] :
      ( c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c0_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X100] :
      ( c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | hskp15
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X99] :
      ( c2_1(X99)
      | ~ c0_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp21
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | hskp0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X93] :
      ( c2_1(X93)
      | c3_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | hskp8
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X90] :
      ( c2_1(X90)
      | c3_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | hskp3
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X78,X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X73] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | hskp22
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | hskp21
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | c3_1(X70)
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X68,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X66] :
      ( c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp10
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X63] :
      ( c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp7
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | ~ c0_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X56] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp19
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X51,X52,X53] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | ~ c0_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | ~ c2_1(X35)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c2_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | hskp8
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X12] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | hskp5
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c0_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c3_1(a612) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c2_1(a612) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c1_1(a612) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a611) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c1_1(a611) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c0_1(a611) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | c2_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | c1_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c0_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c3_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | c1_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp23
    | ~ c1_1(a636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp23
    | ~ c0_1(a636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp23
    | c3_1(a636) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c3_1(a633) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | ~ c0_1(a633) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c1_1(a633) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c3_1(a629) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | ~ c2_1(a629) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a629) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp20
    | ~ c3_1(a623) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp20
    | ~ c2_1(a623) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp20
    | ~ c1_1(a623) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c1_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | ~ c0_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | c2_1(a617) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c2_1(a607) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | ~ c1_1(a607) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c3_1(a607) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c3_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c2_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | c1_1(a606) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c3_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c1_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c3_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c0_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c2_1(a601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | ~ c1_1(a601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | ~ c0_1(a601) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | c2_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c0_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | c3_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c2_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | c3_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c0_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c3_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | ~ c1_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp9
    | ~ c0_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c2_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | c3_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c1_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c3_1(a592) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | ~ c0_1(a592) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c2_1(a592) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c0_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | c3_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp6
    | c2_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c2_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | c1_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c0_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c2_1(a588) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | ~ c1_1(a588) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | c0_1(a588) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c1_1(a587) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | c2_1(a587) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | c0_1(a587) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c0_1(a585) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | c2_1(a585) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c1_1(a585) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c2_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | ~ c0_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c1_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ! [X111,X112] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | ~ c1_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f207,plain,
    ! [X101,X102] :
      ( c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c0_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f208,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ c1_1(X92)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f209,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f210,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f211,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f212,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f213,plain,
    ! [X78,X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c2_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f214,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f215,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | c3_1(X70)
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f216,plain,
    ! [X68,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f217,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f220,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | ~ c0_1(X58)
      | ~ c3_1(X58)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f221,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f222,plain,
    ! [X51,X52,X53] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c3_1(X52)
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f223,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | c3_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c2_1(X49)
      | ~ c0_1(X49)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f224,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | c3_1(X47)
      | ~ c0_1(X47)
      | ~ c2_1(X47) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f225,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f226,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c1_1(X42)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f228,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f229,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c3_1(X35)
      | ~ c2_1(X35)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f230,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f232,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ c3_1(X26) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f233,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ c3_1(X22)
      | c1_1(X23)
      | c2_1(X23)
      | ~ c0_1(X23) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f234,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f236,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f237,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f242,definition,
    ( spl0_1
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f245,definition,
    ( spl0_2
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f248,definition,
    ( spl0_3
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f250,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f248,f245,f242]) ).

fof(f252,definition,
    ( spl0_4
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f255,definition,
    ( spl0_5
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_6
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f260,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f258,f255,f252]) ).

fof(f262,definition,
    ( spl0_7
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_8
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f269,definition,
    ( spl0_9
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f271,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f9,f269,f266]) ).

fof(f273,definition,
    ( spl0_10
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f276,definition,
    ( spl0_11
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f278,plain,
    ( spl0_10
    | spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f269,f276,f273]) ).

fof(f280,definition,
    ( spl0_12
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_15
  <=> ! [X116] :
        ( ~ c1_1(X116)
        | ~ c3_1(X116)
        | ~ c2_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f290,plain,
    ( ! [X116] :
        ( ~ c1_1(X116)
        | ~ c3_1(X116)
        | ~ c2_1(X116) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f293,definition,
    ( spl0_16
  <=> ! [X115] :
        ( ~ c0_1(X115)
        | ~ c3_1(X115)
        | ~ c2_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f294,plain,
    ( ! [X115] :
        ( ~ c3_1(X115)
        | ~ c0_1(X115)
        | ~ c2_1(X115) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f295,plain,
    ( spl0_13
    | spl0_11
    | ~ spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f12,f293,f286,f276,f283]) ).

fof(f297,definition,
    ( spl0_17
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_18
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_19
  <=> ! [X114] :
        ( ~ c0_1(X114)
        | ~ c3_1(X114)
        | ~ c1_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X114] :
        ( ~ c1_1(X114)
        | ~ c3_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_14
    | spl0_19 ),
    inference(avatar_split_clause,[],[f13,f303,f286,f300,f297]) ).

fof(f308,definition,
    ( spl0_20
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c2_1(X111)
        | ~ c0_1(X111) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( spl0_13
    | spl0_15
    | ~ spl0_14
    | spl0_20 ),
    inference(avatar_split_clause,[],[f206,f308,f286,f289,f283]) ).

fof(f315,definition,
    ( spl0_22
  <=> ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | ~ c1_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X110] :
        ( ~ c1_1(X110)
        | ~ c2_1(X110)
        | c3_1(X110) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f319,definition,
    ( spl0_23
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f323,definition,
    ( spl0_24
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f325,plain,
    ( spl0_17
    | spl0_5
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f18,f323,f286,f255,f297]) ).

fof(f326,plain,
    ( spl0_7
    | spl0_3
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f19,f323,f286,f248,f262]) ).

fof(f328,definition,
    ( spl0_25
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f330,plain,
    ( spl0_10
    | spl0_25
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f20,f323,f286,f328,f273]) ).

fof(f332,definition,
    ( spl0_26
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f335,definition,
    ( spl0_27
  <=> ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f336,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | c3_1(X105)
        | ~ c0_1(X105) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( spl0_4
    | spl0_26
    | ~ spl0_14
    | spl0_27 ),
    inference(avatar_split_clause,[],[f21,f335,f286,f332,f252]) ).

fof(f339,definition,
    ( spl0_28
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f341,plain,
    ( spl0_4
    | spl0_28
    | ~ spl0_14
    | spl0_27 ),
    inference(avatar_split_clause,[],[f22,f335,f286,f339,f252]) ).

fof(f343,definition,
    ( spl0_29
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_4
    | spl0_28
    | ~ spl0_14
    | spl0_29 ),
    inference(avatar_split_clause,[],[f23,f343,f286,f339,f252]) ).

fof(f346,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_14
    | spl0_29 ),
    inference(avatar_split_clause,[],[f207,f343,f286,f293,f248]) ).

fof(f348,definition,
    ( spl0_30
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c3_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X100] :
        ( ~ c3_1(X100)
        | c2_1(X100)
        | ~ c0_1(X100) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f350,plain,
    ( spl0_8
    | spl0_23
    | ~ spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f25,f348,f286,f319,f266]) ).

fof(f351,plain,
    ( spl0_10
    | spl0_2
    | ~ spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f26,f348,f286,f245,f273]) ).

fof(f353,definition,
    ( spl0_31
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f356,definition,
    ( spl0_32
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f360,definition,
    ( spl0_33
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f364,definition,
    ( spl0_34
  <=> ! [X96] :
        ( c2_1(X96)
        | ~ c1_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X96] :
        ( ~ c1_1(X96)
        | c2_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_8
    | spl0_1
    | ~ spl0_14
    | spl0_34 ),
    inference(avatar_split_clause,[],[f29,f364,f286,f242,f266]) ).

fof(f372,definition,
    ( spl0_36
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_37
  <=> ! [X94] :
        ( c2_1(X94)
        | ~ c1_1(X94)
        | c3_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f379,definition,
    ( spl0_38
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f381,plain,
    ( spl0_38
    | spl0_10
    | ~ spl0_14
    | spl0_37 ),
    inference(avatar_split_clause,[],[f32,f375,f286,f273,f379]) ).

fof(f382,plain,
    ( spl0_31
    | spl0_34
    | ~ spl0_14
    | spl0_37 ),
    inference(avatar_split_clause,[],[f208,f375,f286,f364,f353]) ).

fof(f384,definition,
    ( spl0_39
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_40
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c0_1(X90)
        | c3_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X90] :
        ( c3_1(X90)
        | ~ c0_1(X90)
        | c2_1(X90) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_39
    | spl0_28
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f34,f387,f286,f339,f384]) ).

fof(f390,plain,
    ( spl0_10
    | spl0_24
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f209,f387,f286,f323,f273]) ).

fof(f392,definition,
    ( spl0_41
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_42
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f398,plain,
    ( spl0_33
    | spl0_22
    | ~ spl0_14
    | spl0_42 ),
    inference(avatar_split_clause,[],[f210,f395,f286,f315,f360]) ).

fof(f400,definition,
    ( spl0_43
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f403,plain,
    ( spl0_23
    | spl0_19
    | ~ spl0_14
    | spl0_43 ),
    inference(avatar_split_clause,[],[f211,f400,f286,f303,f319]) ).

fof(f405,definition,
    ( spl0_44
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f409,definition,
    ( spl0_45
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c3_1(X79)
        | c2_1(X79) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_41
    | spl0_30
    | ~ spl0_14
    | spl0_45 ),
    inference(avatar_split_clause,[],[f212,f409,f286,f348,f392]) ).

fof(f412,plain,
    ( spl0_16
    | spl0_34
    | ~ spl0_14
    | spl0_45 ),
    inference(avatar_split_clause,[],[f213,f409,f286,f364,f293]) ).

fof(f414,definition,
    ( spl0_46
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | c3_1(X75) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_28
    | spl0_46
    | ~ spl0_14
    | spl0_45 ),
    inference(avatar_split_clause,[],[f214,f409,f286,f414,f339]) ).

fof(f418,definition,
    ( spl0_47
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c0_1(X73)
        | c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | ~ c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_38
    | spl0_7
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f44,f418,f286,f262,f379]) ).

fof(f422,plain,
    ( spl0_8
    | spl0_2
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f46,f418,f286,f245,f266]) ).

fof(f423,plain,
    ( spl0_12
    | spl0_24
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f215,f418,f286,f323,f280]) ).

fof(f425,definition,
    ( spl0_48
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c2_1(X68)
        | ~ c0_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X68] :
        ( c1_1(X68)
        | ~ c2_1(X68)
        | ~ c0_1(X68) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,definition,
    ( spl0_49
  <=> ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_9
    | spl0_48
    | ~ spl0_14
    | spl0_49 ),
    inference(avatar_split_clause,[],[f216,f428,f286,f425,f269]) ).

fof(f432,definition,
    ( spl0_50
  <=> ! [X66] :
        ( c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c0_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_26
    | spl0_13
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f49,f432,f286,f283,f332]) ).

fof(f435,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f217,f432,f286,f387,f384]) ).

fof(f437,definition,
    ( spl0_51
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c3_1(X63)
        | ~ c1_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c3_1(X63)
        | c0_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_17
    | spl0_5
    | ~ spl0_14
    | spl0_51 ),
    inference(avatar_split_clause,[],[f51,f437,f286,f255,f297]) ).

fof(f442,plain,
    ( spl0_10
    | spl0_30
    | ~ spl0_14
    | spl0_51 ),
    inference(avatar_split_clause,[],[f220,f437,f286,f348,f273]) ).

fof(f444,definition,
    ( spl0_52
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_53
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f449,plain,
    ( spl0_52
    | spl0_18
    | ~ spl0_14
    | spl0_53 ),
    inference(avatar_split_clause,[],[f55,f447,f286,f300,f444]) ).

fof(f450,plain,
    ( spl0_11
    | spl0_20
    | ~ spl0_14
    | spl0_53 ),
    inference(avatar_split_clause,[],[f221,f447,f286,f308,f276]) ).

fof(f451,plain,
    ( spl0_16
    | spl0_45
    | ~ spl0_14
    | spl0_53 ),
    inference(avatar_split_clause,[],[f222,f447,f286,f409,f293]) ).

fof(f453,definition,
    ( spl0_54
  <=> ! [X50] :
        ( c0_1(X50)
        | ~ c2_1(X50)
        | c3_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X50] :
        ( c3_1(X50)
        | ~ c2_1(X50)
        | c0_1(X50) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f456,plain,
    ( spl0_3
    | spl0_47
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f223,f453,f286,f418,f248]) ).

fof(f458,definition,
    ( spl0_55
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | c3_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c3_1(X45) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_24
    | spl0_42
    | ~ spl0_14
    | spl0_55 ),
    inference(avatar_split_clause,[],[f224,f458,f286,f395,f323]) ).

fof(f462,definition,
    ( spl0_56
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_33
    | spl0_24
    | ~ spl0_14
    | spl0_56 ),
    inference(avatar_split_clause,[],[f225,f462,f286,f323,f360]) ).

fof(f465,plain,
    ( spl0_25
    | spl0_34
    | ~ spl0_14
    | spl0_56 ),
    inference(avatar_split_clause,[],[f226,f462,f286,f364,f328]) ).

fof(f468,definition,
    ( spl0_57
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | c0_1(X38)
        | c2_1(X38) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f471,plain,
    ( spl0_4
    | spl0_48
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f228,f468,f286,f425,f252]) ).

fof(f472,plain,
    ( spl0_39
    | spl0_44
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f229,f468,f286,f405,f384]) ).

fof(f474,definition,
    ( spl0_58
  <=> ! [X33] :
        ( c0_1(X33)
        | c3_1(X33)
        | c2_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X33] :
        ( c3_1(X33)
        | c0_1(X33)
        | c2_1(X33) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f479,plain,
    ( spl0_8
    | spl0_16
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f230,f474,f286,f293,f266]) ).

fof(f481,plain,
    ( spl0_42
    | spl0_50
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f474,f286,f432,f395]) ).

fof(f482,plain,
    ( spl0_47
    | spl0_51
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f233,f474,f286,f437,f418]) ).

fof(f484,definition,
    ( spl0_59
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c3_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | ~ c3_1(X20)
        | c0_1(X20) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_38
    | spl0_10
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f74,f484,f286,f273,f379]) ).

fof(f487,plain,
    ( spl0_36
    | spl0_20
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f234,f484,f286,f308,f372]) ).

fof(f489,plain,
    ( spl0_10
    | spl0_53
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f236,f484,f286,f447,f273]) ).

fof(f494,definition,
    ( spl0_61
  <=> ! [X13] :
        ( c0_1(X13)
        | ~ c2_1(X13)
        | c1_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X13] :
        ( c1_1(X13)
        | ~ c2_1(X13)
        | c0_1(X13) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,plain,
    ( spl0_38
    | spl0_32
    | ~ spl0_14
    | spl0_61 ),
    inference(avatar_split_clause,[],[f79,f494,f286,f356,f379]) ).

fof(f498,plain,
    ( spl0_19
    | spl0_50
    | ~ spl0_14
    | spl0_61 ),
    inference(avatar_split_clause,[],[f237,f494,f286,f432,f303]) ).

fof(f511,definition,
    ( spl0_64
  <=> c3_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f512,plain,
    ( c3_1(a678)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f514,plain,
    ( spl0_64
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f86,f258,f511]) ).

fof(f516,definition,
    ( spl0_65
  <=> c2_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f518,plain,
    ( spl0_65
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f87,f258,f516]) ).

fof(f520,definition,
    ( spl0_66
  <=> c0_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f522,plain,
    ( spl0_66
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f88,f258,f520]) ).

fof(f526,definition,
    ( spl0_67
  <=> c3_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f527,plain,
    ( c3_1(a612)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f529,plain,
    ( spl0_67
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f90,f360,f526]) ).

fof(f531,definition,
    ( spl0_68
  <=> c2_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f533,plain,
    ( spl0_68
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f91,f360,f531]) ).

fof(f535,definition,
    ( spl0_69
  <=> c1_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f536,plain,
    ( c1_1(a612)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( spl0_69
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f92,f360,f535]) ).

fof(f540,definition,
    ( spl0_70
  <=> c3_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f541,plain,
    ( c3_1(a611)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f543,plain,
    ( spl0_70
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f94,f328,f540]) ).

fof(f545,definition,
    ( spl0_71
  <=> c1_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f546,plain,
    ( c1_1(a611)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_71
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f328,f545]) ).

fof(f549,definition,
    ( spl0_72
  <=> c0_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_72
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f96,f328,f549]) ).

fof(f554,definition,
    ( spl0_73
  <=> c2_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_73
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f98,f269,f554]) ).

fof(f559,definition,
    ( spl0_74
  <=> c1_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f560,plain,
    ( c1_1(a583)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( spl0_74
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f99,f269,f559]) ).

fof(f563,definition,
    ( spl0_75
  <=> c0_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_75
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f100,f269,f563]) ).

fof(f582,definition,
    ( spl0_79
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_79
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f106,f353,f582]) ).

fof(f587,definition,
    ( spl0_80
  <=> c1_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f588,plain,
    ( c1_1(a648)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_80
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f107,f353,f587]) ).

fof(f591,definition,
    ( spl0_81
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_81
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f108,f353,f591]) ).

fof(f596,definition,
    ( spl0_82
  <=> c1_1(a636) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c1_1(a636)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( ~ spl0_82
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f110,f392,f596]) ).

fof(f601,definition,
    ( spl0_83
  <=> c0_1(a636) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ spl0_83
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f111,f392,f601]) ).

fof(f605,definition,
    ( spl0_84
  <=> c3_1(a636) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f607,plain,
    ( spl0_84
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f112,f392,f605]) ).

fof(f610,definition,
    ( spl0_85
  <=> c3_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c3_1(a633)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_85
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f114,f262,f610]) ).

fof(f615,definition,
    ( spl0_86
  <=> c0_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_86
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f115,f262,f615]) ).

fof(f619,definition,
    ( spl0_87
  <=> c1_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f620,plain,
    ( c1_1(a633)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f621,plain,
    ( spl0_87
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f116,f262,f619]) ).

fof(f624,definition,
    ( spl0_88
  <=> c3_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ c3_1(a629)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f627,plain,
    ( ~ spl0_88
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f245,f624]) ).

fof(f629,definition,
    ( spl0_89
  <=> c2_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ spl0_89
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f119,f245,f629]) ).

fof(f633,definition,
    ( spl0_90
  <=> c0_1(a629) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f635,plain,
    ( spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f245,f633]) ).

fof(f636,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f245,f286]) ).

fof(f638,definition,
    ( spl0_91
  <=> c3_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ c3_1(a623)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f641,plain,
    ( ~ spl0_91
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f122,f297,f638]) ).

fof(f643,definition,
    ( spl0_92
  <=> c2_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f123,f297,f643]) ).

fof(f647,definition,
    ( spl0_93
  <=> c1_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ c1_1(a623)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl0_93
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f124,f297,f647]) ).

fof(f652,definition,
    ( spl0_94
  <=> c1_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ c1_1(a617)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_94
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f126,f300,f652]) ).

fof(f657,definition,
    ( spl0_95
  <=> c0_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ spl0_95
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f127,f300,f657]) ).

fof(f661,definition,
    ( spl0_96
  <=> c2_1(a617) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_96
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f128,f300,f661]) ).

fof(f680,definition,
    ( spl0_100
  <=> c2_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ spl0_100
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f134,f252,f680]) ).

fof(f685,definition,
    ( spl0_101
  <=> c1_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ c1_1(a607)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( ~ spl0_101
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f135,f252,f685]) ).

fof(f689,definition,
    ( spl0_102
  <=> c3_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f690,plain,
    ( c3_1(a607)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f691,plain,
    ( spl0_102
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f136,f252,f689]) ).

fof(f694,definition,
    ( spl0_103
  <=> c3_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ c3_1(a606)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( ~ spl0_103
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f138,f384,f694]) ).

fof(f699,definition,
    ( spl0_104
  <=> c2_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ spl0_104
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f139,f384,f699]) ).

fof(f703,definition,
    ( spl0_105
  <=> c1_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f704,plain,
    ( c1_1(a606)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f705,plain,
    ( spl0_105
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f140,f384,f703]) ).

fof(f708,definition,
    ( spl0_106
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ spl0_106
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f142,f319,f708]) ).

fof(f713,definition,
    ( spl0_107
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f714,plain,
    ( c3_1(a604)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_107
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f143,f319,f713]) ).

fof(f717,definition,
    ( spl0_108
  <=> c1_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a604)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f719,plain,
    ( spl0_108
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f144,f319,f717]) ).

fof(f722,definition,
    ( spl0_109
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ c3_1(a603)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f725,plain,
    ( ~ spl0_109
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f146,f248,f722]) ).

fof(f727,definition,
    ( spl0_110
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ c1_1(a603)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( ~ spl0_110
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f147,f248,f727]) ).

fof(f731,definition,
    ( spl0_111
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_111
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f148,f248,f731]) ).

fof(f734,plain,
    ( spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f149,f248,f286]) ).

fof(f736,definition,
    ( spl0_112
  <=> c2_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_112
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f150,f444,f736]) ).

fof(f741,definition,
    ( spl0_113
  <=> c1_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f742,plain,
    ( ~ c1_1(a601)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( ~ spl0_113
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f151,f444,f741]) ).

fof(f745,definition,
    ( spl0_114
  <=> c0_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ spl0_114
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f152,f444,f745]) ).

fof(f750,definition,
    ( spl0_115
  <=> c3_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c3_1(a600)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f753,plain,
    ( ~ spl0_115
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f154,f276,f750]) ).

fof(f755,definition,
    ( spl0_116
  <=> c2_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f757,plain,
    ( spl0_116
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f155,f276,f755]) ).

fof(f759,definition,
    ( spl0_117
  <=> c0_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_117
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f156,f276,f759]) ).

fof(f764,definition,
    ( spl0_118
  <=> c1_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c1_1(a599)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_118
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f158,f266,f764]) ).

fof(f769,definition,
    ( spl0_119
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f770,plain,
    ( c3_1(a599)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f159,f266,f769]) ).

fof(f773,definition,
    ( spl0_120
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f775,plain,
    ( spl0_120
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f160,f266,f773]) ).

fof(f778,definition,
    ( spl0_121
  <=> c1_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ c1_1(a598)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f162,f283,f778]) ).

fof(f783,definition,
    ( spl0_122
  <=> c3_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f784,plain,
    ( c3_1(a598)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( spl0_122
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f163,f283,f783]) ).

fof(f787,definition,
    ( spl0_123
  <=> c0_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f789,plain,
    ( spl0_123
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f164,f283,f787]) ).

fof(f792,definition,
    ( spl0_124
  <=> c3_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c3_1(a595)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( ~ spl0_124
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f166,f372,f792]) ).

fof(f797,definition,
    ( spl0_125
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ c1_1(a595)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f799,plain,
    ( ~ spl0_125
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f167,f372,f797]) ).

fof(f801,definition,
    ( spl0_126
  <=> c0_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ spl0_126
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f168,f372,f801]) ).

fof(f806,definition,
    ( spl0_127
  <=> c2_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ spl0_127
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f170,f273,f806]) ).

fof(f811,definition,
    ( spl0_128
  <=> c3_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f812,plain,
    ( c3_1(a593)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f813,plain,
    ( spl0_128
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f171,f273,f811]) ).

fof(f815,definition,
    ( spl0_129
  <=> c1_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f816,plain,
    ( c1_1(a593)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f817,plain,
    ( spl0_129
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f172,f273,f815]) ).

fof(f820,definition,
    ( spl0_130
  <=> c3_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c3_1(a592)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( ~ spl0_130
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f174,f255,f820]) ).

fof(f825,definition,
    ( spl0_131
  <=> c0_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_131
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f175,f255,f825]) ).

fof(f829,definition,
    ( spl0_132
  <=> c2_1(a592) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f831,plain,
    ( spl0_132
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f176,f255,f829]) ).

fof(f834,definition,
    ( spl0_133
  <=> c0_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ spl0_133
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f178,f379,f834]) ).

fof(f839,definition,
    ( spl0_134
  <=> c3_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f840,plain,
    ( c3_1(a590)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( spl0_134
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f179,f379,f839]) ).

fof(f843,definition,
    ( spl0_135
  <=> c2_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f845,plain,
    ( spl0_135
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f180,f379,f843]) ).

fof(f848,definition,
    ( spl0_136
  <=> c2_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_136
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f182,f356,f848]) ).

fof(f853,definition,
    ( spl0_137
  <=> c1_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f854,plain,
    ( c1_1(a589)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f855,plain,
    ( spl0_137
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f183,f356,f853]) ).

fof(f857,definition,
    ( spl0_138
  <=> c0_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_138
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f184,f356,f857]) ).

fof(f862,definition,
    ( spl0_139
  <=> c2_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ spl0_139
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f186,f332,f862]) ).

fof(f867,definition,
    ( spl0_140
  <=> c1_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ c1_1(a588)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( ~ spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f187,f332,f867]) ).

fof(f871,definition,
    ( spl0_141
  <=> c0_1(a588) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_141
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f188,f332,f871]) ).

fof(f876,definition,
    ( spl0_142
  <=> c1_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c1_1(a587)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( ~ spl0_142
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f190,f339,f876]) ).

fof(f881,definition,
    ( spl0_143
  <=> c2_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f883,plain,
    ( spl0_143
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f191,f339,f881]) ).

fof(f885,definition,
    ( spl0_144
  <=> c0_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f887,plain,
    ( spl0_144
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f192,f339,f885]) ).

fof(f904,definition,
    ( spl0_148
  <=> c0_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ spl0_148
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f198,f280,f904]) ).

fof(f909,definition,
    ( spl0_149
  <=> c2_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_149
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f199,f280,f909]) ).

fof(f913,definition,
    ( spl0_150
  <=> c1_1(a585) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f914,plain,
    ( c1_1(a585)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f915,plain,
    ( spl0_150
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f200,f280,f913]) ).

fof(f918,definition,
    ( spl0_151
  <=> c2_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_151
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f242,f918]) ).

fof(f923,definition,
    ( spl0_152
  <=> c0_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f242,f923]) ).

fof(f927,definition,
    ( spl0_153
  <=> c1_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f928,plain,
    ( c1_1(a584)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f929,plain,
    ( spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f242,f927]) ).

fof(f930,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f242,f286]) ).

fof(f931,plain,
    ( ~ c3_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_15
    | ~ spl0_74 ),
    inference(resolution,[],[f290,f560]) ).

fof(f934,definition,
    ( spl0_154
  <=> c3_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ c3_1(a583)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f936,plain,
    ( ~ spl0_73
    | ~ spl0_154
    | ~ spl0_15
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f931,f559,f289,f934,f554]) ).

fof(f942,plain,
    ( ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_20
    | ~ spl0_74 ),
    inference(resolution,[],[f309,f560]) ).

fof(f944,plain,
    ( ~ spl0_75
    | ~ spl0_73
    | ~ spl0_20
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f942,f559,f308,f554,f563]) ).

fof(f946,plain,
    ( c3_1(a583)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f952,definition,
    ( spl0_155
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f960,plain,
    ( ~ c2_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_24
    | spl0_154 ),
    inference(resolution,[],[f324,f935]) ).

fof(f962,plain,
    ( ~ spl0_75
    | ~ spl0_73
    | ~ spl0_24
    | spl0_154 ),
    inference(avatar_split_clause,[],[f960,f934,f323,f554,f563]) ).

fof(f965,definition,
    ( spl0_156
  <=> c2_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f970,definition,
    ( spl0_157
  <=> c2_1(a611) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ c3_1(a611)
    | ~ c2_1(a611)
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(resolution,[],[f546,f290]) ).

fof(f976,plain,
    ( ~ spl0_157
    | ~ spl0_70
    | ~ spl0_15
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f974,f545,f289,f540,f970]) ).

fof(f983,definition,
    ( spl0_158
  <=> c2_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ c0_1(a583)
    | ~ c2_1(a583)
    | ~ spl0_16
    | ~ spl0_154 ),
    inference(resolution,[],[f946,f294]) ).

fof(f988,plain,
    ( ~ spl0_73
    | ~ spl0_75
    | ~ spl0_16
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f987,f934,f293,f563,f554]) ).

fof(f989,plain,
    ( ~ c3_1(a604)
    | c2_1(a604)
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(resolution,[],[f344,f718]) ).

fof(f999,plain,
    ( c2_1(a607)
    | ~ c0_1(a607)
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(resolution,[],[f349,f690]) ).

fof(f1005,definition,
    ( spl0_159
  <=> c0_1(a607) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1012,plain,
    ( c2_1(a606)
    | ~ c0_1(a606)
    | ~ spl0_34
    | ~ spl0_105 ),
    inference(resolution,[],[f365,f704]) ).

fof(f1023,definition,
    ( spl0_161
  <=> c0_1(a606) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1026,plain,
    ( ~ spl0_161
    | spl0_104
    | ~ spl0_34
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1012,f703,f364,f699,f1023]) ).

fof(f1030,definition,
    ( spl0_162
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ c0_1(a606)
    | c2_1(a606)
    | ~ spl0_40
    | spl0_103 ),
    inference(resolution,[],[f388,f695]) ).

fof(f1056,definition,
    ( spl0_163
  <=> c0_1(a623) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1059,plain,
    ( spl0_104
    | ~ spl0_161
    | ~ spl0_40
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1044,f694,f387,f1023,f699]) ).

fof(f1065,plain,
    ( ~ c3_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_42
    | spl0_121 ),
    inference(resolution,[],[f396,f779]) ).

fof(f1066,plain,
    ( ~ c3_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_42
    | spl0_118 ),
    inference(resolution,[],[f396,f765]) ).

fof(f1072,plain,
    ( ~ spl0_120
    | ~ spl0_119
    | ~ spl0_42
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1066,f764,f395,f769,f773]) ).

fof(f1076,definition,
    ( spl0_164
  <=> c0_1(a612) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ c3_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_43
    | spl0_121 ),
    inference(resolution,[],[f401,f779]) ).

fof(f1082,plain,
    ( ~ c3_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_43
    | spl0_118 ),
    inference(resolution,[],[f401,f765]) ).

fof(f1089,plain,
    ( ~ spl0_162
    | ~ spl0_119
    | ~ spl0_43
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1082,f764,f400,f769,f1030]) ).

fof(f1091,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | ~ spl0_43
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1081,f778,f400,f783,f787]) ).

fof(f1114,definition,
    ( spl0_165
  <=> c3_1(a601) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1115,plain,
    ( ~ c3_1(a601)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1118,plain,
    ( ~ spl0_159
    | spl0_100
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f999,f689,f348,f680,f1005]) ).

fof(f1126,plain,
    ( ~ c3_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_15
    | ~ spl0_69 ),
    inference(resolution,[],[f290,f536]) ).

fof(f1128,plain,
    ( ~ spl0_68
    | ~ spl0_67
    | ~ spl0_15
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1126,f535,f289,f526,f531]) ).

fof(f1149,definition,
    ( spl0_166
  <=> c0_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1160,plain,
    ( ~ c0_1(a603)
    | c3_1(a603)
    | ~ spl0_46
    | spl0_110 ),
    inference(resolution,[],[f415,f728]) ).

fof(f1166,plain,
    ( spl0_109
    | ~ spl0_111
    | ~ spl0_46
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1160,f727,f414,f731,f722]) ).

fof(f1169,definition,
    ( spl0_167
  <=> c3_1(a587) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1170,plain,
    ( c3_1(a587)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1169]) ).

fof(f1178,plain,
    ( ~ c0_1(a598)
    | c2_1(a598)
    | ~ spl0_47
    | spl0_121 ),
    inference(resolution,[],[f419,f779]) ).

fof(f1192,plain,
    ( ~ c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_48
    | spl0_110 ),
    inference(resolution,[],[f426,f728]) ).

fof(f1197,plain,
    ( ~ spl0_111
    | ~ spl0_156
    | ~ spl0_48
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1192,f727,f425,f965,f731]) ).

fof(f1215,definition,
    ( spl0_168
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1241,plain,
    ( ~ c0_1(a588)
    | c2_1(a588)
    | ~ spl0_47
    | spl0_140 ),
    inference(resolution,[],[f868,f419]) ).

fof(f1251,plain,
    ( ~ c2_1(a633)
    | c3_1(a633)
    | ~ spl0_22
    | ~ spl0_87 ),
    inference(resolution,[],[f620,f316]) ).

fof(f1255,definition,
    ( spl0_171
  <=> c2_1(a633) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1257,plain,
    ( spl0_85
    | ~ spl0_171
    | ~ spl0_22
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1251,f619,f315,f1255,f610]) ).

fof(f1277,plain,
    ( ~ c3_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_19
    | ~ spl0_129 ),
    inference(resolution,[],[f304,f816]) ).

fof(f1282,plain,
    ( ~ c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_19
    | ~ spl0_74 ),
    inference(resolution,[],[f304,f560]) ).

fof(f1284,plain,
    ( ~ spl0_166
    | ~ spl0_128
    | ~ spl0_19
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1277,f815,f303,f811,f1149]) ).

fof(f1310,plain,
    ( ~ c3_1(a593)
    | c0_1(a593)
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(resolution,[],[f438,f816]) ).

fof(f1311,plain,
    ( ~ c3_1(a604)
    | c0_1(a604)
    | ~ spl0_51
    | ~ spl0_108 ),
    inference(resolution,[],[f438,f718]) ).

fof(f1317,plain,
    ( spl0_106
    | ~ spl0_107
    | ~ spl0_51
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1311,f717,f437,f713,f708]) ).

fof(f1319,plain,
    ( spl0_166
    | ~ spl0_128
    | ~ spl0_51
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1310,f815,f437,f811,f1149]) ).

fof(f1324,definition,
    ( spl0_174
  <=> c3_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1366,plain,
    ( ~ c2_1(a600)
    | ~ c0_1(a600)
    | ~ spl0_24
    | spl0_115 ),
    inference(resolution,[],[f751,f324]) ).

fof(f1369,plain,
    ( ~ spl0_117
    | ~ spl0_116
    | ~ spl0_24
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1366,f750,f323,f755,f759]) ).

fof(f1399,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(resolution,[],[f426,f304]) ).

fof(f1402,plain,
    ( ~ c2_1(a587)
    | ~ c0_1(a587)
    | ~ spl0_48
    | spl0_142 ),
    inference(resolution,[],[f426,f877]) ).

fof(f1413,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1399]) ).

fof(f1415,plain,
    ( ~ spl0_144
    | ~ spl0_143
    | ~ spl0_48
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1402,f876,f425,f881,f885]) ).

fof(f1417,plain,
    ( ~ c0_1(a587)
    | ~ c2_1(a587)
    | ~ spl0_16
    | ~ spl0_167 ),
    inference(resolution,[],[f1170,f294]) ).

fof(f1418,plain,
    ( ~ spl0_143
    | ~ spl0_144
    | ~ spl0_16
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1417,f1169,f293,f885,f881]) ).

fof(f1427,plain,
    ( c0_1(a633)
    | c3_1(a633)
    | ~ spl0_55
    | ~ spl0_87 ),
    inference(resolution,[],[f459,f620]) ).

fof(f1431,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_55
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1427,f619,f458,f615,f610]) ).

fof(f1443,plain,
    ( c0_1(a604)
    | c2_1(a604)
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(resolution,[],[f463,f714]) ).

fof(f1457,plain,
    ( spl0_155
    | spl0_106
    | ~ spl0_56
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1443,f713,f462,f708,f952]) ).

fof(f1499,plain,
    ( c0_1(a604)
    | c2_1(a604)
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(resolution,[],[f469,f718]) ).

fof(f1512,plain,
    ( spl0_155
    | ~ spl0_107
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f989,f717,f343,f713,f952]) ).

fof(f1515,plain,
    ( spl0_139
    | ~ spl0_141
    | ~ spl0_47
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1241,f867,f418,f871,f862]) ).

fof(f1516,plain,
    ( spl0_158
    | ~ spl0_123
    | ~ spl0_47
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1178,f778,f418,f787,f983]) ).

fof(f1520,plain,
    ( ~ spl0_75
    | ~ spl0_154
    | ~ spl0_19
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1282,f559,f303,f934,f563]) ).

fof(f1524,plain,
    ( spl0_16
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1413,f425,f303,f293]) ).

fof(f1531,plain,
    ( ~ c2_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_48
    | spl0_121 ),
    inference(resolution,[],[f779,f426]) ).

fof(f1565,plain,
    ( ~ c3_1(a584)
    | c2_1(a584)
    | ~ spl0_29
    | ~ spl0_153 ),
    inference(resolution,[],[f344,f928]) ).

fof(f1567,plain,
    ( ~ c3_1(a593)
    | c2_1(a593)
    | ~ spl0_29
    | ~ spl0_129 ),
    inference(resolution,[],[f344,f816]) ).

fof(f1570,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_29
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1567,f815,f343,f811,f806]) ).

fof(f1572,plain,
    ( spl0_151
    | ~ spl0_174
    | ~ spl0_29
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1565,f927,f343,f1324,f918]) ).

fof(f1577,plain,
    ( ~ spl0_123
    | ~ spl0_158
    | ~ spl0_48
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1531,f778,f425,f983,f787]) ).

fof(f1592,plain,
    ( ~ c2_1(a612)
    | ~ c0_1(a612)
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(resolution,[],[f536,f309]) ).

fof(f1596,plain,
    ( ~ c2_1(a611)
    | ~ c0_1(a611)
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(resolution,[],[f546,f309]) ).

fof(f1597,plain,
    ( ~ c3_1(a611)
    | ~ c0_1(a611)
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(resolution,[],[f546,f304]) ).

fof(f1599,plain,
    ( ~ spl0_72
    | ~ spl0_70
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1597,f545,f303,f540,f549]) ).

fof(f1600,plain,
    ( ~ spl0_72
    | ~ spl0_157
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1596,f545,f308,f970,f549]) ).

fof(f1627,plain,
    ( ~ c0_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(resolution,[],[f294,f784]) ).

fof(f1628,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(resolution,[],[f294,f770]) ).

fof(f1633,plain,
    ( ~ c0_1(a611)
    | ~ c2_1(a611)
    | ~ spl0_16
    | ~ spl0_70 ),
    inference(resolution,[],[f294,f541]) ).

fof(f1634,plain,
    ( ~ c0_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_16
    | ~ spl0_67 ),
    inference(resolution,[],[f294,f527]) ).

fof(f1635,plain,
    ( ~ c0_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(resolution,[],[f294,f512]) ).

fof(f1642,plain,
    ( c2_1(a589)
    | ~ c0_1(a589)
    | ~ spl0_34
    | ~ spl0_137 ),
    inference(resolution,[],[f365,f854]) ).

fof(f1643,plain,
    ( c2_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_34
    | ~ spl0_129 ),
    inference(resolution,[],[f365,f816]) ).

fof(f1648,plain,
    ( ~ spl0_138
    | spl0_136
    | ~ spl0_34
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1642,f853,f364,f848,f857]) ).

fof(f1663,plain,
    ( ~ c2_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_24
    | spl0_109 ),
    inference(resolution,[],[f723,f324]) ).

fof(f1664,plain,
    ( ~ spl0_111
    | ~ spl0_156
    | ~ spl0_24
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1663,f722,f323,f965,f731]) ).

fof(f1674,plain,
    ( c2_1(a611)
    | ~ c0_1(a611)
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(resolution,[],[f349,f541]) ).

fof(f1682,plain,
    ( ~ c2_1(a587)
    | c3_1(a587)
    | ~ spl0_44
    | spl0_142 ),
    inference(resolution,[],[f406,f877]) ).

fof(f1687,plain,
    ( ~ c2_1(a603)
    | c3_1(a603)
    | ~ spl0_44
    | spl0_110 ),
    inference(resolution,[],[f406,f728]) ).

fof(f1697,plain,
    ( spl0_109
    | ~ spl0_156
    | ~ spl0_44
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1687,f727,f405,f965,f722]) ).

fof(f1699,plain,
    ( spl0_167
    | ~ spl0_143
    | ~ spl0_44
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1682,f876,f405,f881,f1169]) ).

fof(f1703,plain,
    ( ~ c2_1(a585)
    | c0_1(a585)
    | ~ spl0_53
    | ~ spl0_150 ),
    inference(resolution,[],[f448,f914]) ).

fof(f1706,plain,
    ( ~ c2_1(a604)
    | c0_1(a604)
    | ~ spl0_53
    | ~ spl0_108 ),
    inference(resolution,[],[f448,f718]) ).

fof(f1708,plain,
    ( ~ c2_1(a633)
    | c0_1(a633)
    | ~ spl0_53
    | ~ spl0_87 ),
    inference(resolution,[],[f448,f620]) ).

fof(f1713,plain,
    ( spl0_86
    | ~ spl0_171
    | ~ spl0_53
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1708,f619,f447,f1255,f615]) ).

fof(f1714,plain,
    ( spl0_106
    | ~ spl0_155
    | ~ spl0_53
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1706,f717,f447,f952,f708]) ).

fof(f1715,plain,
    ( spl0_148
    | ~ spl0_149
    | ~ spl0_53
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1703,f913,f447,f909,f904]) ).

fof(f1732,plain,
    ( c0_1(a633)
    | c2_1(a633)
    | ~ spl0_58
    | spl0_85 ),
    inference(resolution,[],[f475,f611]) ).

fof(f1734,plain,
    ( spl0_171
    | spl0_86
    | ~ spl0_58
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1732,f610,f474,f615,f1255]) ).

fof(f1761,plain,
    ( c2_1(a584)
    | c3_1(a584)
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(resolution,[],[f376,f928]) ).

fof(f1766,plain,
    ( c2_1(a606)
    | c3_1(a606)
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(resolution,[],[f376,f704]) ).

fof(f1772,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1766,f703,f375,f699,f694]) ).

fof(f1775,plain,
    ( spl0_174
    | spl0_151
    | ~ spl0_37
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1761,f927,f375,f918,f1324]) ).

fof(f1779,plain,
    ( c0_1(a590)
    | ~ c2_1(a590)
    | ~ spl0_50
    | ~ spl0_134 ),
    inference(resolution,[],[f433,f840]) ).

fof(f1782,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_50
    | ~ spl0_119 ),
    inference(resolution,[],[f433,f770]) ).

fof(f1783,plain,
    ( c0_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_50
    | ~ spl0_107 ),
    inference(resolution,[],[f433,f714]) ).

fof(f1789,plain,
    ( c0_1(a612)
    | ~ c2_1(a612)
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(resolution,[],[f433,f527]) ).

fof(f1808,plain,
    ( ~ spl0_164
    | ~ spl0_68
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1592,f535,f308,f531,f1076]) ).

fof(f1829,plain,
    ( spl0_155
    | spl0_106
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1499,f717,f468,f708,f952]) ).

fof(f1834,plain,
    ( ~ spl0_166
    | spl0_127
    | ~ spl0_34
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1643,f815,f364,f806,f1149]) ).

fof(f1843,plain,
    ( ~ spl0_72
    | spl0_157
    | ~ spl0_30
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1674,f540,f348,f970,f549]) ).

fof(f1857,plain,
    ( c3_1(a648)
    | ~ c0_1(a648)
    | ~ spl0_27
    | ~ spl0_80 ),
    inference(resolution,[],[f588,f336]) ).

fof(f1860,plain,
    ( ~ spl0_81
    | spl0_79
    | ~ spl0_27
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1857,f587,f335,f582,f591]) ).

fof(f1866,plain,
    ( c2_1(a593)
    | ~ c0_1(a593)
    | ~ spl0_30
    | ~ spl0_128 ),
    inference(resolution,[],[f349,f812]) ).

fof(f1867,plain,
    ( c2_1(a598)
    | ~ c0_1(a598)
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(resolution,[],[f349,f784]) ).

fof(f1878,plain,
    ( ~ spl0_123
    | spl0_158
    | ~ spl0_30
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1867,f783,f348,f983,f787]) ).

fof(f1879,plain,
    ( ~ spl0_166
    | spl0_127
    | ~ spl0_30
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1866,f811,f348,f806,f1149]) ).

fof(f1884,plain,
    ( ~ c0_1(a603)
    | c2_1(a603)
    | ~ spl0_40
    | spl0_109 ),
    inference(resolution,[],[f388,f723]) ).

fof(f1885,plain,
    ( ~ c0_1(a623)
    | c2_1(a623)
    | ~ spl0_40
    | spl0_91 ),
    inference(resolution,[],[f388,f639]) ).

fof(f1886,plain,
    ( ~ c0_1(a629)
    | c2_1(a629)
    | ~ spl0_40
    | spl0_88 ),
    inference(resolution,[],[f388,f625]) ).

fof(f1891,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_40
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1886,f624,f387,f633,f629]) ).

fof(f1892,plain,
    ( spl0_92
    | ~ spl0_163
    | ~ spl0_40
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1885,f638,f387,f1056,f643]) ).

fof(f1893,plain,
    ( spl0_156
    | ~ spl0_111
    | ~ spl0_40
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1884,f722,f387,f731,f965]) ).

fof(f1899,plain,
    ( ~ c3_1(a598)
    | c2_1(a598)
    | ~ spl0_45
    | spl0_121 ),
    inference(resolution,[],[f410,f779]) ).

fof(f1903,plain,
    ( ~ c3_1(a607)
    | c2_1(a607)
    | ~ spl0_45
    | spl0_101 ),
    inference(resolution,[],[f410,f686]) ).

fof(f1911,plain,
    ( spl0_100
    | ~ spl0_102
    | ~ spl0_45
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1903,f685,f409,f689,f680]) ).

fof(f1913,plain,
    ( spl0_158
    | ~ spl0_122
    | ~ spl0_45
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1899,f778,f409,f783,f983]) ).

fof(f1923,plain,
    ( c3_1(a603)
    | c2_1(a603)
    | ~ spl0_49
    | spl0_110 ),
    inference(resolution,[],[f429,f728]) ).

fof(f1926,plain,
    ( c3_1(a623)
    | c2_1(a623)
    | ~ spl0_49
    | spl0_93 ),
    inference(resolution,[],[f429,f648]) ).

fof(f1931,plain,
    ( spl0_92
    | spl0_91
    | ~ spl0_49
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1926,f647,f428,f638,f643]) ).

fof(f1932,plain,
    ( spl0_156
    | spl0_109
    | ~ spl0_49
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1923,f727,f428,f722,f965]) ).

fof(f1937,plain,
    ( c0_1(a584)
    | c3_1(a584)
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(resolution,[],[f459,f928]) ).

fof(f1942,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ spl0_55
    | ~ spl0_105 ),
    inference(resolution,[],[f459,f704]) ).

fof(f1948,plain,
    ( spl0_174
    | spl0_152
    | ~ spl0_55
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1937,f927,f458,f923,f1324]) ).

fof(f1951,plain,
    ( c0_1(a584)
    | c2_1(a584)
    | ~ spl0_57
    | ~ spl0_153 ),
    inference(resolution,[],[f469,f928]) ).

fof(f1954,plain,
    ( c0_1(a593)
    | c2_1(a593)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f469,f816]) ).

fof(f1962,plain,
    ( spl0_127
    | spl0_166
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1954,f815,f468,f1149,f806]) ).

fof(f1963,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_57
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1951,f927,f468,f923,f918]) ).

fof(f1972,plain,
    ( ~ spl0_135
    | spl0_133
    | ~ spl0_50
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1779,f839,f432,f834,f843]) ).

fof(f1974,plain,
    ( ~ spl0_120
    | spl0_162
    | ~ spl0_50
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1782,f769,f432,f1030,f773]) ).

fof(f1975,plain,
    ( ~ spl0_155
    | spl0_106
    | ~ spl0_50
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1783,f713,f432,f708,f952]) ).

fof(f1978,plain,
    ( ~ spl0_68
    | spl0_164
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1789,f526,f432,f1076,f531]) ).

fof(f1999,plain,
    ( c3_1(a583)
    | ~ c0_1(a583)
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(resolution,[],[f560,f336]) ).

fof(f2000,plain,
    ( ~ spl0_75
    | spl0_154
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1999,f559,f335,f934,f563]) ).

fof(f2010,plain,
    ( ~ c0_1(a603)
    | c2_1(a603)
    | ~ spl0_47
    | spl0_110 ),
    inference(resolution,[],[f419,f728]) ).

fof(f2013,plain,
    ( ~ c0_1(a623)
    | c2_1(a623)
    | ~ spl0_47
    | spl0_93 ),
    inference(resolution,[],[f419,f648]) ).

fof(f2019,plain,
    ( spl0_92
    | ~ spl0_163
    | ~ spl0_47
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2013,f647,f418,f1056,f643]) ).

fof(f2020,plain,
    ( spl0_156
    | ~ spl0_111
    | ~ spl0_47
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2010,f727,f418,f731,f965]) ).

fof(f2023,plain,
    ( c0_1(a593)
    | c2_1(a593)
    | ~ spl0_56
    | ~ spl0_128 ),
    inference(resolution,[],[f463,f812]) ).

fof(f2027,plain,
    ( c0_1(a607)
    | c2_1(a607)
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(resolution,[],[f463,f690]) ).

fof(f2035,plain,
    ( spl0_127
    | spl0_166
    | ~ spl0_56
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2023,f811,f462,f1149,f806]) ).

fof(f2042,plain,
    ( c0_1(a623)
    | c2_1(a623)
    | ~ spl0_58
    | spl0_91 ),
    inference(resolution,[],[f475,f639]) ).

fof(f2046,plain,
    ( spl0_92
    | spl0_163
    | ~ spl0_58
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2042,f638,f474,f1056,f643]) ).

fof(f2054,plain,
    ( ~ c3_1(a599)
    | c0_1(a599)
    | ~ spl0_59
    | spl0_118 ),
    inference(resolution,[],[f485,f765]) ).

fof(f2057,plain,
    ( ~ c3_1(a607)
    | c0_1(a607)
    | ~ spl0_59
    | spl0_101 ),
    inference(resolution,[],[f485,f686]) ).

fof(f2060,plain,
    ( ~ c3_1(a636)
    | c0_1(a636)
    | ~ spl0_59
    | spl0_82 ),
    inference(resolution,[],[f485,f597]) ).

fof(f2063,plain,
    ( spl0_83
    | ~ spl0_84
    | ~ spl0_59
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2060,f596,f484,f605,f601]) ).

fof(f2067,plain,
    ( spl0_159
    | ~ spl0_102
    | ~ spl0_59
    | spl0_101 ),
    inference(avatar_split_clause,[],[f2057,f685,f484,f689,f1005]) ).

fof(f2070,plain,
    ( spl0_162
    | ~ spl0_119
    | ~ spl0_59
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2054,f764,f484,f769,f1030]) ).

fof(f2073,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(resolution,[],[f495,f459]) ).

fof(f2078,plain,
    ( ~ c2_1(a599)
    | c0_1(a599)
    | ~ spl0_61
    | spl0_118 ),
    inference(resolution,[],[f495,f765]) ).

fof(f2081,plain,
    ( ~ c2_1(a617)
    | c0_1(a617)
    | ~ spl0_61
    | spl0_94 ),
    inference(resolution,[],[f495,f653]) ).

fof(f2084,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2073]) ).

fof(f2088,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_61
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2081,f652,f494,f661,f657]) ).

fof(f2090,plain,
    ( spl0_162
    | ~ spl0_120
    | ~ spl0_61
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2078,f764,f494,f773,f1030]) ).

fof(f2091,plain,
    ( spl0_54
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2084,f494,f458,f453]) ).

fof(f2100,plain,
    ( spl0_103
    | spl0_161
    | ~ spl0_55
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1942,f703,f458,f1023,f694]) ).

fof(f2106,plain,
    ( spl0_100
    | spl0_159
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2027,f689,f462,f1005,f680]) ).

fof(f2116,plain,
    ( c0_1(a606)
    | c2_1(a606)
    | ~ spl0_58
    | spl0_103 ),
    inference(resolution,[],[f695,f475]) ).

fof(f2117,plain,
    ( spl0_104
    | spl0_161
    | ~ spl0_58
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2116,f694,f474,f1023,f699]) ).

fof(f2124,plain,
    ( ~ c3_1(a601)
    | c2_1(a601)
    | ~ spl0_45
    | spl0_113 ),
    inference(resolution,[],[f742,f410]) ).

fof(f2125,plain,
    ( spl0_112
    | ~ spl0_165
    | ~ spl0_45
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2124,f741,f409,f1114,f736]) ).

fof(f2133,plain,
    ( ~ c2_1(a592)
    | c0_1(a592)
    | ~ spl0_54
    | spl0_130 ),
    inference(resolution,[],[f454,f821]) ).

fof(f2143,plain,
    ( spl0_131
    | ~ spl0_132
    | ~ spl0_54
    | spl0_130 ),
    inference(avatar_split_clause,[],[f2133,f820,f453,f829,f825]) ).

fof(f2145,plain,
    ( c0_1(a601)
    | c2_1(a601)
    | ~ spl0_58
    | spl0_165 ),
    inference(resolution,[],[f1115,f475]) ).

fof(f2146,plain,
    ( spl0_112
    | spl0_114
    | ~ spl0_58
    | spl0_165 ),
    inference(avatar_split_clause,[],[f2145,f1114,f474,f745,f736]) ).

fof(f2155,plain,
    ( ~ spl0_158
    | ~ spl0_123
    | ~ spl0_16
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1627,f783,f293,f787,f983]) ).

fof(f2156,plain,
    ( ~ spl0_120
    | ~ spl0_162
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1628,f769,f293,f1030,f773]) ).

fof(f2159,plain,
    ( ~ spl0_157
    | ~ spl0_72
    | ~ spl0_16
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1633,f540,f293,f549,f970]) ).

fof(f2160,plain,
    ( ~ spl0_68
    | ~ spl0_164
    | ~ spl0_16
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1634,f526,f293,f1076,f531]) ).

fof(f2161,plain,
    ( ~ spl0_65
    | ~ spl0_66
    | ~ spl0_16
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1635,f511,f293,f520,f516]) ).

fof(f2162,plain,
    ( ~ spl0_158
    | ~ spl0_122
    | ~ spl0_42
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1065,f778,f395,f783,f983]) ).

fof(f2167,plain,
    ( c0_1(a595)
    | c2_1(a595)
    | ~ spl0_58
    | spl0_124 ),
    inference(resolution,[],[f793,f475]) ).

fof(f2168,plain,
    ( spl0_168
    | spl0_126
    | ~ spl0_58
    | spl0_124 ),
    inference(avatar_split_clause,[],[f2167,f792,f474,f801,f1215]) ).

fof(f2169,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl0_61
    | spl0_125 ),
    inference(resolution,[],[f798,f495]) ).

fof(f2170,plain,
    ( spl0_126
    | ~ spl0_168
    | ~ spl0_61
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2169,f797,f494,f1215,f801]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s4,plain,
    ( spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s5,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s7,plain,
    ( spl0_11
    | spl0_13
    | ~ spl0_14
    | spl0_16 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s8,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s10,plain,
    ( spl0_13
    | ~ spl0_14
    | spl0_15
    | spl0_20 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s13,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s14,plain,
    ( spl0_3
    | spl0_7
    | ~ spl0_14
    | spl0_24 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s15,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s16,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s17,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s18,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s19,plain,
    ( spl0_3
    | ~ spl0_14
    | spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s20,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_23
    | spl0_30 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s21,plain,
    ( spl0_2
    | spl0_10
    | ~ spl0_14
    | spl0_30 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_14
    | spl0_34 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s28,plain,
    ( ~ spl0_14
    | spl0_31
    | spl0_34
    | spl0_37 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s29,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s30,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_24
    | spl0_40 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s32,plain,
    ( ~ spl0_14
    | spl0_22
    | spl0_33
    | spl0_42 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s34,plain,
    ( ~ spl0_14
    | spl0_19
    | spl0_23
    | spl0_43 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s36,plain,
    ( ~ spl0_14
    | spl0_30
    | spl0_41
    | spl0_45 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s37,plain,
    ( ~ spl0_14
    | spl0_16
    | spl0_34
    | spl0_45 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s38,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s39,plain,
    ( spl0_7
    | ~ spl0_14
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s41,plain,
    ( spl0_2
    | spl0_8
    | ~ spl0_14
    | spl0_47 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s42,plain,
    ( spl0_12
    | ~ spl0_14
    | spl0_24
    | spl0_47 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s43,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s44,plain,
    ( spl0_13
    | ~ spl0_14
    | spl0_26
    | spl0_50 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s45,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_40
    | spl0_50 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s46,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_17
    | spl0_51 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s49,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_30
    | spl0_51 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s50,plain,
    ( ~ spl0_14
    | spl0_18
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s51,plain,
    ( spl0_11
    | ~ spl0_14
    | spl0_20
    | spl0_53 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s52,plain,
    ( ~ spl0_14
    | spl0_16
    | spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s54,plain,
    ( spl0_3
    | ~ spl0_14
    | spl0_47
    | spl0_54 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s55,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_42
    | spl0_55 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s56,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_33
    | spl0_56 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s57,plain,
    ( ~ spl0_14
    | spl0_25
    | spl0_34
    | spl0_56 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s60,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s61,plain,
    ( ~ spl0_14
    | spl0_39
    | spl0_44
    | spl0_57 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s65,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_16
    | spl0_58 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s67,plain,
    ( ~ spl0_14
    | spl0_42
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s68,plain,
    ( ~ spl0_14
    | spl0_47
    | spl0_51
    | spl0_58 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s69,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_38
    | spl0_59 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s70,plain,
    ( ~ spl0_14
    | spl0_20
    | spl0_36
    | spl0_59 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s72,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_53
    | spl0_59 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s74,plain,
    ( ~ spl0_14
    | spl0_32
    | spl0_38
    | spl0_61 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s75,plain,
    ( ~ spl0_14
    | spl0_19
    | spl0_50
    | spl0_61 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s81,plain,
    ( ~ spl0_6
    | spl0_64 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s82,plain,
    ( ~ spl0_6
    | spl0_65 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s83,plain,
    ( ~ spl0_6
    | spl0_66 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s85,plain,
    ( ~ spl0_33
    | spl0_67 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s86,plain,
    ( ~ spl0_33
    | spl0_68 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s87,plain,
    ( ~ spl0_33
    | spl0_69 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s89,plain,
    ( ~ spl0_25
    | spl0_70 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s90,plain,
    ( ~ spl0_25
    | spl0_71 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s91,plain,
    ( ~ spl0_25
    | spl0_72 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s93,plain,
    ( ~ spl0_9
    | spl0_73 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s94,plain,
    ( ~ spl0_9
    | spl0_74 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s95,plain,
    ( ~ spl0_9
    | spl0_75 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s101,plain,
    ( ~ spl0_31
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s102,plain,
    ( ~ spl0_31
    | spl0_80 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s103,plain,
    ( ~ spl0_31
    | spl0_81 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s105,plain,
    ( ~ spl0_41
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s106,plain,
    ( ~ spl0_41
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s107,plain,
    ( ~ spl0_41
    | spl0_84 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s109,plain,
    ( ~ spl0_7
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s110,plain,
    ( ~ spl0_7
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s111,plain,
    ( ~ spl0_7
    | spl0_87 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | spl0_90 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s116,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s117,plain,
    ( ~ spl0_17
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s118,plain,
    ( ~ spl0_17
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s119,plain,
    ( ~ spl0_17
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s121,plain,
    ( ~ spl0_18
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s122,plain,
    ( ~ spl0_18
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s123,plain,
    ( ~ spl0_18
    | spl0_96 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s129,plain,
    ( ~ spl0_4
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s130,plain,
    ( ~ spl0_4
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s131,plain,
    ( ~ spl0_4
    | spl0_102 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s133,plain,
    ( ~ spl0_39
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s134,plain,
    ( ~ spl0_39
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s135,plain,
    ( ~ spl0_39
    | spl0_105 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s137,plain,
    ( ~ spl0_23
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s138,plain,
    ( ~ spl0_23
    | spl0_107 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s139,plain,
    ( ~ spl0_23
    | spl0_108 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s141,plain,
    ( ~ spl0_3
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s142,plain,
    ( ~ spl0_3
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s143,plain,
    ( ~ spl0_3
    | spl0_111 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s144,plain,
    ( ~ spl0_3
    | spl0_14 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s145,plain,
    ( ~ spl0_52
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s146,plain,
    ( ~ spl0_52
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s147,plain,
    ( ~ spl0_52
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s149,plain,
    ( ~ spl0_11
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s150,plain,
    ( ~ spl0_11
    | spl0_116 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s151,plain,
    ( ~ spl0_11
    | spl0_117 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s153,plain,
    ( ~ spl0_8
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s154,plain,
    ( ~ spl0_8
    | spl0_119 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s155,plain,
    ( ~ spl0_8
    | spl0_120 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s157,plain,
    ( ~ spl0_13
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s158,plain,
    ( ~ spl0_13
    | spl0_122 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s159,plain,
    ( ~ spl0_13
    | spl0_123 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s161,plain,
    ( ~ spl0_36
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s162,plain,
    ( ~ spl0_36
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s163,plain,
    ( ~ spl0_36
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s165,plain,
    ( ~ spl0_10
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s166,plain,
    ( ~ spl0_10
    | spl0_128 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s167,plain,
    ( ~ spl0_10
    | spl0_129 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s169,plain,
    ( ~ spl0_5
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s170,plain,
    ( ~ spl0_5
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s171,plain,
    ( ~ spl0_5
    | spl0_132 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s173,plain,
    ( ~ spl0_38
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s174,plain,
    ( ~ spl0_38
    | spl0_134 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s175,plain,
    ( ~ spl0_38
    | spl0_135 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s177,plain,
    ( ~ spl0_32
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s178,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s179,plain,
    ( ~ spl0_32
    | spl0_138 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s181,plain,
    ( ~ spl0_26
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s182,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s183,plain,
    ( ~ spl0_26
    | spl0_141 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s185,plain,
    ( ~ spl0_28
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s186,plain,
    ( ~ spl0_28
    | spl0_143 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s187,plain,
    ( ~ spl0_28
    | spl0_144 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s193,plain,
    ( ~ spl0_12
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s194,plain,
    ( ~ spl0_12
    | spl0_149 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s195,plain,
    ( ~ spl0_12
    | spl0_150 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s197,plain,
    ( ~ spl0_1
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s198,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s199,plain,
    ( ~ spl0_1
    | spl0_153 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s200,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s201,plain,
    ( ~ spl0_15
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s203,plain,
    ( ~ spl0_20
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s206,plain,
    ( ~ spl0_24
    | ~ spl0_73
    | ~ spl0_75
    | spl0_154 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s209,plain,
    ( ~ spl0_15
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s212,plain,
    ( ~ spl0_16
    | ~ spl0_73
    | ~ spl0_75
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s220,plain,
    ( ~ spl0_34
    | spl0_104
    | ~ spl0_105
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s227,plain,
    ( ~ spl0_40
    | spl0_103
    | spl0_104
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s229,plain,
    ( ~ spl0_42
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s232,plain,
    ( ~ spl0_43
    | spl0_118
    | ~ spl0_119
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s233,plain,
    ( ~ spl0_43
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s238,plain,
    ( ~ spl0_30
    | spl0_100
    | ~ spl0_102
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s241,plain,
    ( ~ spl0_15
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s249,plain,
    ( ~ spl0_46
    | spl0_109
    | spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s255,plain,
    ( ~ spl0_48
    | spl0_110
    | ~ spl0_111
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s270,plain,
    ( ~ spl0_22
    | spl0_85
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s274,plain,
    ( ~ spl0_19
    | ~ spl0_128
    | ~ spl0_129
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s280,plain,
    ( ~ spl0_51
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s281,plain,
    ( ~ spl0_51
    | ~ spl0_128
    | ~ spl0_129
    | spl0_166 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s293,plain,
    ( ~ spl0_24
    | spl0_115
    | ~ spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s301,plain,
    ( ~ spl0_48
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s302,plain,
    ( ~ spl0_16
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s304,plain,
    ( ~ spl0_55
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s311,plain,
    ( ~ spl0_56
    | spl0_106
    | ~ spl0_107
    | spl0_155 ),
    inference(sat_conversion,[],[f1457]) ).

cnf(s331,plain,
    ( ~ spl0_29
    | ~ spl0_107
    | ~ spl0_108
    | spl0_155 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s334,plain,
    ( ~ spl0_47
    | spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s335,plain,
    ( ~ spl0_47
    | spl0_121
    | ~ spl0_123
    | spl0_158 ),
    inference(sat_conversion,[],[f1516]) ).

cnf(s339,plain,
    ( ~ spl0_19
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s343,plain,
    ( spl0_16
    | ~ spl0_19
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s365,plain,
    ( ~ spl0_29
    | spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s367,plain,
    ( ~ spl0_29
    | spl0_151
    | ~ spl0_153
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s373,plain,
    ( ~ spl0_48
    | spl0_121
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1577]) ).

cnf(s387,plain,
    ( ~ spl0_19
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s388,plain,
    ( ~ spl0_20
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s396,plain,
    ( ~ spl0_34
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s409,plain,
    ( ~ spl0_24
    | spl0_109
    | ~ spl0_111
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s415,plain,
    ( ~ spl0_44
    | spl0_109
    | spl0_110
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s417,plain,
    ( ~ spl0_44
    | spl0_142
    | ~ spl0_143
    | spl0_167 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s419,plain,
    ( ~ spl0_53
    | spl0_86
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1713]) ).

cnf(s420,plain,
    ( ~ spl0_53
    | spl0_106
    | ~ spl0_108
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s421,plain,
    ( ~ spl0_53
    | spl0_148
    | ~ spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1715]) ).

cnf(s425,plain,
    ( ~ spl0_58
    | spl0_85
    | spl0_86
    | spl0_171 ),
    inference(sat_conversion,[],[f1734]) ).

cnf(s441,plain,
    ( ~ spl0_37
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1772]) ).

cnf(s444,plain,
    ( ~ spl0_37
    | spl0_151
    | ~ spl0_153
    | spl0_174 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s456,plain,
    ( ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s477,plain,
    ( ~ spl0_57
    | spl0_106
    | ~ spl0_108
    | spl0_155 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s482,plain,
    ( ~ spl0_34
    | spl0_127
    | ~ spl0_129
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s491,plain,
    ( ~ spl0_30
    | ~ spl0_70
    | ~ spl0_72
    | spl0_157 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s501,plain,
    ( ~ spl0_27
    | spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s504,plain,
    ( ~ spl0_30
    | ~ spl0_122
    | ~ spl0_123
    | spl0_158 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s505,plain,
    ( ~ spl0_30
    | spl0_127
    | ~ spl0_128
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s507,plain,
    ( ~ spl0_40
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s508,plain,
    ( ~ spl0_40
    | spl0_91
    | spl0_92
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s509,plain,
    ( ~ spl0_40
    | spl0_109
    | ~ spl0_111
    | spl0_156 ),
    inference(sat_conversion,[],[f1893]) ).

cnf(s511,plain,
    ( ~ spl0_45
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s513,plain,
    ( ~ spl0_45
    | spl0_121
    | ~ spl0_122
    | spl0_158 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s515,plain,
    ( ~ spl0_49
    | spl0_91
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s516,plain,
    ( ~ spl0_49
    | spl0_109
    | spl0_110
    | spl0_156 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s521,plain,
    ( ~ spl0_55
    | spl0_152
    | ~ spl0_153
    | spl0_174 ),
    inference(sat_conversion,[],[f1948]) ).

cnf(s523,plain,
    ( ~ spl0_57
    | spl0_127
    | ~ spl0_129
    | spl0_166 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s524,plain,
    ( ~ spl0_57
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s533,plain,
    ( ~ spl0_50
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1972]) ).

cnf(s535,plain,
    ( ~ spl0_50
    | ~ spl0_119
    | ~ spl0_120
    | spl0_162 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s536,plain,
    ( ~ spl0_50
    | spl0_106
    | ~ spl0_107
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s539,plain,
    ( ~ spl0_50
    | ~ spl0_67
    | ~ spl0_68
    | spl0_164 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s557,plain,
    ( ~ spl0_27
    | ~ spl0_74
    | ~ spl0_75
    | spl0_154 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s559,plain,
    ( ~ spl0_47
    | spl0_92
    | spl0_93
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s560,plain,
    ( ~ spl0_47
    | spl0_110
    | ~ spl0_111
    | spl0_156 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s562,plain,
    ( ~ spl0_56
    | spl0_127
    | ~ spl0_128
    | spl0_166 ),
    inference(sat_conversion,[],[f2035]) ).

cnf(s564,plain,
    ( ~ spl0_58
    | spl0_91
    | spl0_92
    | spl0_163 ),
    inference(sat_conversion,[],[f2046]) ).

cnf(s565,plain,
    ( ~ spl0_59
    | spl0_82
    | spl0_83
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s567,plain,
    ( ~ spl0_59
    | spl0_101
    | ~ spl0_102
    | spl0_159 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s569,plain,
    ( ~ spl0_59
    | spl0_118
    | ~ spl0_119
    | spl0_162 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s573,plain,
    ( ~ spl0_61
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f2088]) ).

cnf(s575,plain,
    ( ~ spl0_61
    | spl0_118
    | ~ spl0_120
    | spl0_162 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s576,plain,
    ( spl0_54
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f2091]) ).

cnf(s585,plain,
    ( ~ spl0_55
    | spl0_103
    | ~ spl0_105
    | spl0_161 ),
    inference(sat_conversion,[],[f2100]) ).

cnf(s591,plain,
    ( ~ spl0_56
    | spl0_100
    | ~ spl0_102
    | spl0_159 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s594,plain,
    ( ~ spl0_58
    | spl0_103
    | spl0_104
    | spl0_161 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s597,plain,
    ( ~ spl0_45
    | spl0_112
    | spl0_113
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s601,plain,
    ( ~ spl0_54
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s602,plain,
    ( ~ spl0_58
    | spl0_112
    | spl0_114
    | spl0_165 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s611,plain,
    ( ~ spl0_16
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s612,plain,
    ( ~ spl0_16
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s615,plain,
    ( ~ spl0_16
    | ~ spl0_70
    | ~ spl0_72
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s616,plain,
    ( ~ spl0_16
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2160]) ).

cnf(s617,plain,
    ( ~ spl0_16
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s618,plain,
    ( ~ spl0_42
    | spl0_121
    | ~ spl0_122
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2162]) ).

cnf(s622,plain,
    ( ~ spl0_58
    | spl0_124
    | spl0_126
    | spl0_168 ),
    inference(sat_conversion,[],[f2168]) ).

cnf(s623,plain,
    ( ~ spl0_61
    | spl0_125
    | spl0_126
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s624,plain,
    ( spl0_8
    | spl0_16
    | spl0_5
    | spl0_109
    | spl0_110
    | ~ spl0_111
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s564,s559,s117,s118,s119,s13,s409,s560,s41,s65]) ).

cnf(s625,plain,
    ( ~ spl0_23
    | ~ spl0_50
    | ~ spl0_57 ),
    inference(rat,[],[s477,s536,s137,s138,s139]) ).

cnf(s626,plain,
    ( ~ spl0_47
    | ~ spl0_17
    | ~ spl0_8
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s334,s181,s182,s183,s16,s557,s339,s34,s625,s232,s535,s94,s95,s67,s43,s60,s564,s255,s559,s560,s144,s143,s142,s229,s153,s154,s155,s515,s117,s118,s119]) ).

cnf(s627,plain,
    ( ~ spl0_52
    | ~ spl0_45
    | ~ spl0_58 ),
    inference(rat,[],[s597,s602,s145,s146,s147]) ).

cnf(s628,plain,
    ( spl0_24
    | spl0_40
    | ~ spl0_58
    | spl0_50
    | spl0_47
    | spl0_16
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s573,s121,s122,s123,s50,s627,s75,s274,s523,s60,s301,s185,s186,s187,s18,s365,s165,s166,s167,s30,s52,s421,s193,s194,s195,s42]) ).

cnf(s629,plain,
    ( ~ spl0_17
    | spl0_7
    | ~ spl0_8
    | spl0_16
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s573,s121,s122,s123,s50,s420,s477,s137,s139,s34,s232,s575,s75,s339,s206,s93,s94,s95,s43,s60,s301,s185,s186,s187,s17,s501,s101,s102,s103,s627,s28,s37,s220,s594,s628,s441,s133,s134,s135,s45,s508,s564,s67,s533,s173,s174,s175,s39,s626,s515,s117,s118,s119,s144,s229,s153,s154,s155]) ).

cnf(s630,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_5
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s573,s121,s122,s123,s8,s75,s339,s206,s93,s94,s95,s43,s301,s185,s186,s187,s17,s501,s101,s102,s103,s28,s220,s441,s594,s133,s134,s135,s45,s67,s533,s173,s174,s175,s39,s509,s516,s560,s409,s13,s629,s144,s143,s142,s141,s617,s81,s82,s83,s2,s229,s153,s154,s155]) ).

cnf(s631,plain,
    ( ~ spl0_19
    | spl0_49
    | ~ spl0_24
    | spl0_16
    | ~ spl0_14 ),
    inference(rat,[],[s206,s339,s93,s94,s95,s43,s343]) ).

cnf(s632,plain,
    ( ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s293,s149,s150,s151]) ).

cnf(s633,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s75,s573,s539,s121,s122,s123,s456,s50,s85,s86,s87,s627,s32,s51,s52,s270,s419,s425,s68,s280,s137,s138,s139,s34,s233,s157,s158,s159,s7,s632,s631,s516,s560,s409,s55,s304,s109,s110,s111,s630,s229,s153,s154,s155,s624,s617,s81,s82,s83,s2,s144,s143,s142,s141]) ).

cnf(s638,plain,
    ( spl0_104
    | spl0_103
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(rat,[],[s227,s594]) ).

cnf(s639,plain,
    ( ~ spl0_31
    | ~ spl0_27 ),
    inference(rat,[],[s501,s101,s102,s103]) ).

cnf(s641,plain,
    ( ~ spl0_10
    | ~ spl0_57
    | ~ spl0_19 ),
    inference(rat,[],[s523,s274,s165,s166,s167]) ).

cnf(s642,plain,
    ( spl0_24
    | spl0_16
    | spl0_50
    | spl0_42
    | spl0_54
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s387,s89,s90,s91,s15,s641,s60,s343,s75,s576,s55]) ).

cnf(s643,plain,
    ( spl0_16
    | spl0_50
    | spl0_42
    | spl0_54
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s51,s203,s420,s93,s94,s95,s477,s43,s60,s373,s513,s37,s137,s139,s220,s34,s594,s233,s133,s134,s135,s157,s158,s159,s45,s631,s7,s509,s516,s632,s409,s642,s143,s142,s141,s67,s144]) ).

cnf(s644,plain,
    ( spl0_10
    | spl0_24
    | ~ spl0_16
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s615,s491,s89,s91,s15,s21]) ).

cnf(s645,plain,
    ( ~ spl0_10
    | ~ spl0_19
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s301,s185,s186,s187,s18,s60,s365,s641,s165,s166,s167]) ).

cnf(s646,plain,
    ( spl0_50
    | ~ spl0_120
    | ~ spl0_119
    | spl0_118
    | spl0_42
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s206,s339,s93,s94,s95,s5,s632,s644,s645,s75,s575,s612,s643,s144,s601,s169,s170,s171,s633]) ).

cnf(s647,plain,
    ( ~ spl0_23
    | ~ spl0_50
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s301,s185,s186,s187,s18,s331,s60,s536,s625,s137,s138,s139]) ).

cnf(s648,plain,
    ( ~ spl0_25
    | ~ spl0_19 ),
    inference(rat,[],[s387,s89,s90,s91]) ).

cnf(s649,plain,
    ( ~ spl0_120
    | ~ spl0_119
    | spl0_118
    | spl0_42
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s516,s631,s409,s15,s648,s645,s34,s647,s612,s232,s535,s646,s144,s143,s142,s141]) ).

cnf(s650,plain,
    ( spl0_50
    | spl0_24
    | spl0_42
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s645,s644,s75,s643,s576,s55,s144,s601,s169,s170,s171,s633]) ).

cnf(s651,plain,
    ( ~ spl0_10
    | ~ spl0_30
    | ~ spl0_57 ),
    inference(rat,[],[s505,s523,s165,s166,s167]) ).

cnf(s652,plain,
    ( ~ spl0_38
    | ~ spl0_50 ),
    inference(rat,[],[s533,s173,s174,s175]) ).

cnf(s653,plain,
    ( ~ spl0_119
    | spl0_118
    | spl0_42
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s232,s569,s34,s69,s648,s652,s15,s651,s20,s647,s650,s60,s409,s255,s560,s41,s155,s649,s144,s143,s142,s141]) ).

cnf(s654,plain,
    ( spl0_8
    | spl0_42
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s396,s177,s178,s179,s74,s652,s576,s650,s55,s409,s560,s24,s41,s144,s143,s142,s141,s601,s169,s170,s171,s633,s1]) ).

cnf(s655,plain,
    ( spl0_42
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s653,s153,s154,s654,s1]) ).

cnf(s656,plain,
    ( ~ spl0_10
    | ~ spl0_57
    | ~ spl0_34 ),
    inference(rat,[],[s482,s523,s165,s167]) ).

cnf(s657,plain,
    ( spl0_8
    | spl0_24
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s618,s504,s157,s158,s159,s10,s209,s491,s89,s90,s91,s15,s21,s656,s60,s255,s203,s560,s93,s94,s95,s24,s41,s4,s144,s143,s142,s1,s655]) ).

cnf(s658,plain,
    ( ~ spl0_8
    | ~ spl0_42 ),
    inference(rat,[],[s153,s229,s154,s155]) ).

cnf(s659,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s409,s560,s657,s41,s658,s655,s144,s143,s142,s141,s1]) ).

cnf(s660,plain,
    ( spl0_34
    | ~ spl0_61
    | ~ spl0_119
    | spl0_118
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s612,s575,s155,s24,s37,s144,s1,s511,s129,s130,s131,s659]) ).

cnf(s661,plain,
    ( ~ spl0_61
    | ~ spl0_57
    | ~ spl0_119
    | spl0_118
    | ~ spl0_58
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s622,s623,s161,s162,s163,s70,s388,s491,s567,s89,s90,s91,s238,s15,s21,s656,s660,s144,s1,s131,s130,s129,s659]) ).

cnf(s662,plain,
    ( ~ spl0_57
    | ~ spl0_119
    | spl0_118
    | ~ spl0_58
    | spl0_50
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s15,s641,s648,s75,s661,s144,s1]) ).

cnf(s663,plain,
    ( ~ spl0_39
    | ~ spl0_34
    | ~ spl0_55 ),
    inference(rat,[],[s220,s585,s133,s134,s135]) ).

cnf(s664,plain,
    ( spl0_39
    | spl0_57
    | spl0_50
    | ~ spl0_3 ),
    inference(rat,[],[s415,s509,s61,s45,s144,s143,s142,s141]) ).

cnf(s665,plain,
    ( ~ spl0_119
    | spl0_118
    | ~ spl0_58
    | spl0_50
    | ~ spl0_55
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s562,s57,s274,s648,s165,s166,s167,s75,s30,s660,s638,s663,s133,s134,s664,s662,s144,s1]) ).

cnf(s666,plain,
    ( spl0_8
    | spl0_50
    | ~ spl0_55
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s576,s601,s75,s169,s170,s171,s648,s624,s15,s644,s656,s664,s663,s24,s144,s143,s142,s141,s1]) ).

cnf(s667,plain,
    ( spl0_50
    | spl0_24
    | spl0_42
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s665,s153,s154,s666,s67,s55,s144,s1]) ).

cnf(s668,plain,
    ( spl0_162
    | ~ spl0_57
    | ~ spl0_119
    | spl0_118
    | ~ spl0_50
    | ~ spl0_14 ),
    inference(rat,[],[s651,s20,s69,s155,s569,s535,s652,s625]) ).

cnf(s669,plain,
    ( ~ spl0_57
    | ~ spl0_119
    | spl0_118
    | ~ spl0_50
    | spl0_24
    | ~ spl0_14 ),
    inference(rat,[],[s15,s641,s648,s34,s232,s668,s625]) ).

cnf(s670,plain,
    ( ~ spl0_44
    | spl0_24
    | spl0_45
    | spl0_109
    | spl0_110
    | ~ spl0_111
    | ~ spl0_14 ),
    inference(rat,[],[s421,s193,s194,s195,s42,s52,s560,s302,s415,s417,s187,s186,s185,s38,s249]) ).

cnf(s671,plain,
    ( ~ spl0_119
    | spl0_118
    | ~ spl0_50
    | ~ spl0_55
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s612,s535,s155,s24,s37,s663,s61,s669,s670,s511,s129,s130,s131,s659,s141,s142,s143,s144,s1]) ).

cnf(s672,plain,
    ( spl0_8
    | spl0_44
    | ~ spl0_50
    | ~ spl0_55
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s567,s238,s69,s20,s656,s625,s61,s663,s24,s144,s1,s131,s130,s129,s659,s652]) ).

cnf(s673,plain,
    ( spl0_24
    | spl0_42
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s671,s153,s154,s672,s670,s667,s55,s144,s143,s142,s141,s1,s511,s129,s130,s131,s659]) ).

cnf(s674,plain,
    ( ~ spl0_39
    | ~ spl0_58
    | ~ spl0_34 ),
    inference(rat,[],[s220,s594,s133,s134,s135]) ).

cnf(s675,plain,
    ( ~ spl0_24
    | spl0_45
    | spl0_109
    | spl0_110
    | ~ spl0_111
    | ~ spl0_14 ),
    inference(rat,[],[s419,s425,s109,s110,s111,s39,s652,s45,s674,s68,s280,s137,s138,s139,s34,s233,s157,s158,s159,s37,s10,s212,s201,s339,s51,s206,s203,s93,s94,s95,s43,s509,s516,s560,s632,s409,s301,s185,s186,s187,s38,s249]) ).

cnf(s677,plain,
    ( ~ spl0_16
    | spl0_20
    | ~ spl0_34
    | ~ spl0_47
    | spl0_24
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s335,s611,s157,s158,s159,s10,s241,s85,s86,s87,s56,s562,s482,s165,s166,s167,s644]) ).

cnf(s678,plain,
    ( spl0_50
    | ~ spl0_58
    | spl0_20
    | ~ spl0_34
    | spl0_100
    | spl0_101
    | ~ spl0_102
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s622,s623,s161,s162,s163,s70,s75,s567,s648,s238,s15,s21,s656,s664,s675,s511,s141,s142,s143,s144,s674]) ).

cnf(s679,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s238,s567,s20,s69,s656,s625,s652,s61,s678,s674,s65,s677,s203,s93,s94,s95,s24,s41,s4,s658,s673,s670,s675,s511,s129,s130,s131,s659,s141,s142,s143,s144,s1]) ).

cnf(s680,plain,
    ( ~ spl0_57
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120
    | spl0_34
    | ~ spl0_58
    | spl0_50
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(rat,[],[s573,s121,s122,s123,s50,s420,s477,s627,s137,s139,s37,s34,s612,s232,s575,s75,s641]) ).

cnf(s681,plain,
    ( spl0_4
    | spl0_16
    | ~ spl0_3
    | spl0_57
    | ~ spl0_58
    | spl0_50
    | spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s255,s560,s60,s628,s116,s507,s113,s114,s115,s143,s142]) ).

cnf(s682,plain,
    ( spl0_16
    | ~ spl0_3
    | spl0_57
    | spl0_34
    | ~ spl0_58
    | spl0_50
    | spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s511,s129,s130,s131,s681,s37,s116]) ).

cnf(s683,plain,
    ( ~ spl0_19
    | spl0_34
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(rat,[],[s562,s57,s274,s648,s167,s166,s165]) ).

cnf(s684,plain,
    ( spl0_42
    | spl0_50
    | spl0_24
    | spl0_1 ),
    inference(rat,[],[s682,s19,s612,s575,s75,s683,s680,s153,s154,s155,s24,s663,s67,s55,s365,s165,s166,s167,s30,s45,s116,s507,s113,s114,s115,s679]) ).

cnf(s685,plain,
    ( spl0_50
    | spl0_24
    | spl0_1 ),
    inference(rat,[],[s335,s611,s157,s158,s159,s10,s241,s85,s86,s87,s56,s68,s65,s562,s281,s203,s674,s482,s93,s94,s95,s24,s4,s658,s684,s45,s167,s166,s165,s30,s116,s507,s113,s114,s115,s679]) ).

cnf(s686,plain,
    ( spl0_34
    | spl0_24
    | spl0_1 ),
    inference(rat,[],[s511,s129,s130,s131,s647,s37,s34,s612,s232,s535,s153,s154,s155,s683,s24,s30,s116,s507,s113,s114,s115,s679,s685]) ).

cnf(s687,plain,
    ( spl0_39
    | spl0_57
    | spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s670,s511,s141,s142,s143,s129,s130,s131,s19,s60,s302,s301,s417,s185,s186,s187,s61,s29,s365,s165,s166,s167,s30,s116,s507,s113,s114,s115]) ).

cnf(s688,plain,
    ( spl0_24
    | spl0_1 ),
    inference(rat,[],[s658,s55,s65,s663,s616,s674,s687,s539,s85,s86,s56,s562,s482,s656,s686,s685,s165,s166,s167,s30,s116,s507,s113,s114,s115,s679]) ).

cnf(s689,plain,
    ( ~ spl0_10
    | ~ spl0_58
    | spl0_50
    | spl0_1 ),
    inference(rat,[],[s511,s129,s130,s131,s60,s373,s513,s157,s158,s159,s7,s37,s612,s575,s75,s680,s683,s632,s688,s155,s154,s153,s24,s674,s45,s507,s113,s114,s115,s116,s679]) ).

cnf(s690,plain,
    ( ~ spl0_58
    | spl0_50
    | spl0_1 ),
    inference(rat,[],[s511,s129,s130,s131,s60,s477,s420,s137,s139,s373,s34,s513,s232,s157,s158,s159,s575,s37,s10,s75,s212,s201,s339,s51,s206,s203,s93,s94,s95,s5,s689,s153,s154,s155,s24,s674,s632,s688,s45,s116,s507,s113,s114,s115,s679]) ).

cnf(s691,plain,
    ( spl0_50
    | spl0_1 ),
    inference(rat,[],[s206,s212,s93,s95,s65,s4,s658,s67,s690,s116,s679,s688]) ).

cnf(s692,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(rat,[],[s511,s129,s130,s131]) ).

cnf(s693,plain,
    ( spl0_34
    | spl0_1 ),
    inference(rat,[],[s206,s339,s93,s94,s95,s5,s645,s34,s647,s692,s37,s612,s232,s535,s153,s154,s155,s24,s116,s679,s632,s688,s691]) ).

cnf(s694,plain,
    ( ~ spl0_10
    | spl0_16
    | spl0_1 ),
    inference(rat,[],[s373,s60,s513,s692,s675,s141,s142,s143,s19,s365,s656,s165,s166,s167,s693,s159,s158,s157,s7,s632,s688,s116,s679]) ).

cnf(s695,plain,
    ( spl0_16
    | spl0_1 ),
    inference(rat,[],[s238,s567,s49,s129,s130,s131,s280,s647,s137,s138,s139,s34,s339,s206,s93,s94,s95,s69,s5,s694,s233,s157,s158,s159,s7,s116,s679,s632,s688,s652,s691]) ).

cnf(s696,plain,
    ( spl0_4
    | spl0_29
    | spl0_57
    | ~ spl0_14 ),
    inference(rat,[],[s301,s185,s186,s187,s18,s60]) ).

cnf(s697,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s612,s535,s154,s155,s691,s695]) ).

cnf(s698,plain,
    spl0_1,
    inference(rat,[],[s212,s206,s93,s95,s4,s697,s695,s688]) ).

cnf(s699,plain,
    spl0_14,
    inference(rat,[],[s200,s698]) ).

cnf(s700,plain,
    spl0_153,
    inference(rat,[],[s199,s698]) ).

cnf(s701,plain,
    ~ spl0_152,
    inference(rat,[],[s198,s698]) ).

cnf(s702,plain,
    ~ spl0_151,
    inference(rat,[],[s197,s698]) ).

cnf(s703,plain,
    ~ spl0_57,
    inference(rat,[],[s524,s700,s701,s702]) ).

cnf(s704,plain,
    ( spl0_34
    | spl0_16 ),
    inference(rat,[],[s301,s185,s186,s187,s17,s639,s28,s444,s367,s696,s60,s692,s37,s703,s702,s700,s699]) ).

cnf(s705,plain,
    ( spl0_58
    | spl0_16
    | spl0_50 ),
    inference(rat,[],[s658,s65,s67,s699]) ).

cnf(s706,plain,
    ( spl0_16
    | spl0_24
    | spl0_50 ),
    inference(rat,[],[s573,s75,s121,s122,s123,s343,s50,s60,s627,s692,s52,s419,s425,s109,s110,s111,s14,s664,s674,s705,s704,s699,s703]) ).

cnf(s707,plain,
    ( spl0_4
    | spl0_34 ),
    inference(rat,[],[s301,s185,s186,s187,s17,s639,s28,s444,s367,s696,s60,s699,s700,s702,s703]) ).

cnf(s708,plain,
    ( ~ spl0_8
    | ~ spl0_61
    | ~ spl0_16 ),
    inference(rat,[],[s575,s612,s153,s154,s155]) ).

cnf(s710,plain,
    ( ~ spl0_36
    | ~ spl0_58
    | ~ spl0_61 ),
    inference(rat,[],[s622,s623,s161,s162,s163]) ).

cnf(s711,plain,
    ( ~ spl0_59
    | ~ spl0_4 ),
    inference(rat,[],[s565,s105,s106,s107,s36,s238,s567,s131,s130,s129,s692,s699]) ).

cnf(s712,plain,
    ( ~ spl0_13
    | ~ spl0_47
    | ~ spl0_16 ),
    inference(rat,[],[s335,s611,s157,s158,s159]) ).

cnf(s713,plain,
    ( ~ spl0_47
    | ~ spl0_16
    | spl0_50 ),
    inference(rat,[],[s334,s181,s182,s183,s44,s712,s699]) ).

cnf(s714,plain,
    ( spl0_34
    | spl0_24
    | spl0_50 ),
    inference(rat,[],[s280,s137,s138,s139,s20,s505,s281,s68,s710,s70,s203,s93,s94,s95,s4,s708,s75,s683,s165,s166,s167,s72,s711,s707,s421,s193,s194,s195,s42,s713,s706,s699]) ).

cnf(s715,plain,
    ( ~ spl0_55
    | spl0_24
    | spl0_50 ),
    inference(rat,[],[s304,s109,s110,s111,s14,s664,s663,s714,s699,s703]) ).

cnf(s716,plain,
    ( spl0_24
    | spl0_50 ),
    inference(rat,[],[s482,s281,s165,s166,s167,s68,s30,s674,s507,s687,s113,s114,s115,s41,s658,s55,s715,s714,s713,s706,s703,s699]) ).

cnf(s717,plain,
    ( ~ spl0_19
    | spl0_34
    | ~ spl0_24 ),
    inference(rat,[],[s206,s339,s93,s94,s95,s5,s683,s632,s699]) ).

cnf(s718,plain,
    ( spl0_34
    | spl0_50 ),
    inference(rat,[],[s212,s206,s93,s95,s4,s708,s75,s717,s704,s716,s699]) ).

cnf(s719,plain,
    ( ~ spl0_10
    | ~ spl0_29 ),
    inference(rat,[],[s365,s165,s166,s167]) ).

cnf(s720,plain,
    ( spl0_16
    | spl0_50 ),
    inference(rat,[],[s420,s331,s137,s138,s139,s34,s51,s339,s206,s203,s93,s94,s95,s5,s719,s19,s233,s664,s157,s158,s159,s674,s7,s705,s632,s716,s718,s699,s703]) ).

cnf(s721,plain,
    ( ~ spl0_5
    | ~ spl0_54 ),
    inference(rat,[],[s601,s169,s170,s171]) ).

cnf(s722,plain,
    ( ~ spl0_17
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(rat,[],[s508,s564,s117,s118]) ).

cnf(s723,plain,
    ( ~ spl0_10
    | ~ spl0_51
    | ~ spl0_19 ),
    inference(rat,[],[s281,s274,s166,s167]) ).

cnf(s724,plain,
    ( ~ spl0_8
    | spl0_50 ),
    inference(rat,[],[s206,s339,s93,s94,s95,s5,s723,s46,s722,s721,s54,s664,s45,s674,s75,s67,s708,s658,s632,s716,s718,s713,s720,s699,s703]) ).

cnf(s725,plain,
    spl0_50,
    inference(rat,[],[s212,s206,s93,s95,s4,s724,s720,s716]) ).

cnf(s726,plain,
    ~ spl0_38,
    inference(rat,[],[s652,s725]) ).

cnf(s727,plain,
    ( spl0_24
    | spl0_42
    | spl0_16 ),
    inference(rat,[],[s670,s692,s141,s142,s143,s696,s19,s367,s61,s521,s663,s55,s704,s699,s703,s700,s702,s701]) ).

cnf(s728,plain,
    ( spl0_29
    | ~ spl0_24
    | spl0_16 ),
    inference(rat,[],[s675,s692,s141,s142,s143,s696,s19,s699,s703]) ).

cnf(s729,plain,
    ~ spl0_29,
    inference(rat,[],[s27,s444,s719,s367,s699,s726,s700,s702]) ).

cnf(s730,plain,
    spl0_4,
    inference(rat,[],[s696,s699,s703,s729]) ).

cnf(s731,plain,
    spl0_102,
    inference(rat,[],[s131,s730]) ).

cnf(s733,plain,
    ~ spl0_100,
    inference(rat,[],[s129,s730]) ).

cnf(s734,plain,
    ~ spl0_45,
    inference(rat,[],[s692,s730]) ).

cnf(s740,plain,
    spl0_16,
    inference(rat,[],[s674,s65,s61,s658,s670,s727,s141,s142,s143,s728,s19,s704,s699,s703,s734,s729]) ).

cnf(s741,plain,
    ( ~ spl0_120
    | ~ spl0_119 ),
    inference(rat,[],[s612,s535,s725,s740]) ).

cnf(s742,plain,
    ~ spl0_8,
    inference(rat,[],[s741,s154,s155]) ).

cnf(s743,plain,
    spl0_9,
    inference(rat,[],[s4,s742]) ).

cnf(s744,plain,
    spl0_75,
    inference(rat,[],[s95,s743]) ).

cnf(s746,plain,
    spl0_73,
    inference(rat,[],[s93,s743]) ).

cnf(s748,plain,
    ~ spl0_154,
    inference(rat,[],[s212,s740,s744,s746]) ).

cnf(s751,plain,
    ~ spl0_24,
    inference(rat,[],[s206,s746,s744,s748]) ).

cnf(s756,plain,
    ( ~ spl0_67
    | ~ spl0_68 ),
    inference(rat,[],[s616,s539,s725,s740]) ).

cnf(s757,plain,
    ~ spl0_33,
    inference(rat,[],[s756,s85,s86]) ).

cnf(s758,plain,
    spl0_56,
    inference(rat,[],[s56,s751,s699,s757]) ).

cnf(s760,plain,
    spl0_159,
    inference(rat,[],[s591,s733,s731,s758]) ).

cnf(s762,plain,
    ~ spl0_30,
    inference(rat,[],[s238,s733,s731,s760]) ).

cnf(s764,plain,
    spl0_23,
    inference(rat,[],[s20,s742,s699,s762]) ).

cnf(s767,plain,
    spl0_107,
    inference(rat,[],[s138,s764]) ).

cnf(s768,plain,
    ~ spl0_106,
    inference(rat,[],[s137,s764]) ).

cnf(s773,plain,
    ~ spl0_155,
    inference(rat,[],[s536,s767,s725,s768]) ).

cnf(s774,plain,
    $false,
    inference(rat,[],[s311,s767,s758,s768,s773]) ).

fof(f2171,plain,
    $false,
    inference(avatar_sat_refutation,[],[s774]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN507+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n019.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 16:20:33 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running first-order theorem proving
% 0.10/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.20/1.08  % (4130031)Detected formulas, will run a generic FOF schedule.
% 3.20/1.08  % (4130074)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=1597024000:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.20/1.08  % (4130080)dis-21_1_sil=8000:lcm=predicate:random_seed=470509460: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)
% 3.20/1.08  % (4130075)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=2556368591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.20/1.08  % (4130078)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3315855972:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.20/1.08  % (4130077)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3825390826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.20/1.08  % (4130076)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=3607571374:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.20/1.08  % (4130079)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=714607398:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.20/1.08  % (4130080)First to succeed.
% 3.20/1.08  % (4130080)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4130031"
% 3.20/1.08  % (4130079)Also succeeded, but the first one will report.
% 3.20/1.08  % (4130078)Instruction limit reached! 
% 3.20/1.08  % (4130078)------------------------------
% 3.20/1.08  % (4130078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.08  % (4130078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.08  % (4130078)CaDiCaL version: 2.1.3
% 3.20/1.08  % (4130078)Termination reason: Instruction limit
% 3.20/1.08  % (4130078)Termination phase: Saturation
% 3.20/1.08  % (4130078)Time elapsed: 0.055 s
% 3.20/1.08  % (4130078)Peak memory usage: 88 MB
% 3.20/1.08  % (4130078)Instructions burned: 119 (million)
% 3.20/1.08  % (4130077)Also succeeded, but the first one will report.
% 3.20/1.08  % (4130088)lrs+10_1_sil=8000:sp=occurrence:random_seed=2411050967:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.20/1.08  % (4130088)Also succeeded, but the first one will report.
% 3.20/1.08  % (4130080)Refutation found. Thanks to Tanya!
% 3.20/1.08  % SZS status Theorem for theBenchmark
% 3.20/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.27  % (4130080)------------------------------
% 3.67/1.27  % (4130080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.27  % (4130080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.27  % (4130080)CaDiCaL version: 2.1.3
% 3.67/1.27  % (4130080)Termination reason: Refutation
% 3.67/1.27  % (4130080)Time elapsed: 0.040 s
% 3.67/1.27  % (4130080)Peak memory usage: 90 MB
% 3.67/1.27  % (4130080)Instructions burned: 67 (million)
% 3.67/1.27  % (4130080)------------------------------
% 3.67/1.27  % (4130080)------------------------------
% 3.67/1.27  % (4130031)Success in time 0.438 s
% 3.67/1.27  % Vampire exiting
%------------------------------------------------------------------------------