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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN472+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 : n001.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 01:53:58 PM UTC 2026

% Result   : Theorem 3.30s 1.15s
% Output   : Refutation 4.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a692)
          & ~ c0_1(a692)
          & ~ c1_1(a692) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a693)
          & ~ c1_1(a693)
          & ~ c3_1(a693) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a696)
          & c1_1(a696)
          & ~ c2_1(a696) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a697)
          & c2_1(a697)
          & ~ c3_1(a697) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a698)
          & ~ c2_1(a698)
          & ~ c3_1(a698) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a701)
          & c2_1(a701)
          & ~ c1_1(a701) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a702)
          & c3_1(a702)
          & ~ c2_1(a702) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a708)
          & c2_1(a708)
          & ~ c3_1(a708) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a710)
          & c3_1(a710)
          & ~ c0_1(a710) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a712)
          & ~ c1_1(a712)
          & ~ c2_1(a712) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a717)
          & c3_1(a717)
          & ~ c2_1(a717) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a722)
          & c3_1(a722)
          & ~ c1_1(a722) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a725)
          & ~ c1_1(a725)
          & ~ c3_1(a725) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a726)
          & ~ c0_1(a726)
          & ~ c3_1(a726) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a730)
          & c1_1(a730)
          & ~ c3_1(a730) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a734)
          & ~ c1_1(a734)
          & ~ c2_1(a734) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a738)
          & c3_1(a738)
          & ~ c1_1(a738) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a744)
          & ~ c2_1(a744)
          & ~ c3_1(a744) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a751)
          & ~ c1_1(a751)
          & ~ c3_1(a751) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a752)
          & ~ c2_1(a752)
          & ~ c3_1(a752) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a754)
          & ~ c0_1(a754)
          & ~ c3_1(a754) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a760)
          & c3_1(a760)
          & ~ c0_1(a760) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a761)
          & ~ c0_1(a761)
          & ~ c2_1(a761) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a763)
          & ~ c1_1(a763)
          & ~ c2_1(a763) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a764)
          & ~ c2_1(a764)
          & ~ c3_1(a764) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a773)
          & c2_1(a773)
          & ~ c0_1(a773) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c3_1(a777)
          & ~ c0_1(a777)
          & ~ c1_1(a777) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a691)
          & c1_1(a691)
          & c3_1(a691) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a695)
          & c1_1(a695)
          & c2_1(a695) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a713)
          & c2_1(a713)
          & c3_1(a713) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a733)
          & c2_1(a733)
          & c3_1(a733) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c3_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c0_1(X1) ) )
        | hskp27 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | hskp0
        | hskp1 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | ~ c1_1(X4) ) )
        | hskp27 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | ~ c0_1(X6) ) )
        | hskp28 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) )
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp3
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c1_1(X14) ) )
        | hskp3 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c1_1(X16) ) )
        | hskp0 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp5
        | hskp6 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c3_1(X22)
              | ~ c1_1(X22) ) )
        | hskp6 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c3_1(X24) ) )
        | hskp0 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp27
        | hskp6 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | hskp2
        | hskp7 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp5
        | hskp8 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp3
        | hskp9 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | hskp29 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | hskp29 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c0_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c0_1(X40) ) )
        | hskp5 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c2_1(X45)
              | ~ c3_1(X45) ) )
        | hskp28 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) )
        | hskp10 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) )
        | hskp6 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp8 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp5 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | ~ c0_1(X61) ) )
        | hskp4 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp11 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | hskp8 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c0_1(X70)
              | ~ c1_1(X70) ) )
        | hskp3 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) )
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | hskp13 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp3
        | hskp1 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp0 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp14
        | hskp3 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | hskp14
        | hskp30 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | hskp15
        | hskp12 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | hskp28 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp14 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp16 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c2_1(X90) ) )
        | hskp7
        | hskp16 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp7
        | hskp13 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp29
        | hskp17 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp28 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) )
        | hskp30 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp5
        | hskp1 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp28 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp17 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) )
        | hskp18
        | hskp19 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp16
        | hskp20 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp11
        | hskp7 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp16
        | hskp15 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp3 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp21
        | hskp22 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp20 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp23
        | hskp24 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | hskp27
        | hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp30
        | hskp20 )
      & ( hskp28
        | hskp30
        | hskp12 )
      & ( hskp28
        | hskp25
        | hskp22 )
      & ( hskp14
        | hskp7
        | hskp26 )
      & ( hskp29
        | hskp7
        | hskp13 )
      & ( hskp11
        | hskp23
        | hskp13 )
      & ( hskp23
        | hskp18
        | hskp21 )
      & ( hskp30
        | hskp20
        | hskp1 )
      & ( hskp13
        | hskp20
        | hskp12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a692)
            & ~ c0_1(a692)
            & ~ c1_1(a692) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a693)
            & ~ c1_1(a693)
            & ~ c3_1(a693) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a696)
            & c1_1(a696)
            & ~ c2_1(a696) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a697)
            & c2_1(a697)
            & ~ c3_1(a697) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a698)
            & ~ c2_1(a698)
            & ~ c3_1(a698) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a701)
            & c2_1(a701)
            & ~ c1_1(a701) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a702)
            & c3_1(a702)
            & ~ c2_1(a702) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a708)
            & c2_1(a708)
            & ~ c3_1(a708) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a710)
            & c3_1(a710)
            & ~ c0_1(a710) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a712)
            & ~ c1_1(a712)
            & ~ c2_1(a712) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a717)
            & c3_1(a717)
            & ~ c2_1(a717) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a722)
            & c3_1(a722)
            & ~ c1_1(a722) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a725)
            & ~ c1_1(a725)
            & ~ c3_1(a725) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a726)
            & ~ c0_1(a726)
            & ~ c3_1(a726) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a730)
            & c1_1(a730)
            & ~ c3_1(a730) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a734)
            & ~ c1_1(a734)
            & ~ c2_1(a734) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a738)
            & c3_1(a738)
            & ~ c1_1(a738) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a744)
            & ~ c2_1(a744)
            & ~ c3_1(a744) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a751)
            & ~ c1_1(a751)
            & ~ c3_1(a751) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a752)
            & ~ c2_1(a752)
            & ~ c3_1(a752) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a754)
            & ~ c0_1(a754)
            & ~ c3_1(a754) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a760)
            & c3_1(a760)
            & ~ c0_1(a760) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a761)
            & ~ c0_1(a761)
            & ~ c2_1(a761) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a763)
            & ~ c1_1(a763)
            & ~ c2_1(a763) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a764)
            & ~ c2_1(a764)
            & ~ c3_1(a764) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a773)
            & c2_1(a773)
            & ~ c0_1(a773) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c3_1(a777)
            & ~ c0_1(a777)
            & ~ c1_1(a777) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a691)
            & c1_1(a691)
            & c3_1(a691) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a695)
            & c1_1(a695)
            & c2_1(a695) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a713)
            & c2_1(a713)
            & c3_1(a713) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a733)
            & c2_1(a733)
            & c3_1(a733) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c3_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | hskp27 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | hskp0
          | hskp1 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c1_1(X4) ) )
          | hskp27 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | ~ c0_1(X6) ) )
          | hskp28 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp3
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c1_1(X14) ) )
          | hskp3 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) )
          | hskp0 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp5
          | hskp6 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c3_1(X22)
                | ~ c1_1(X22) ) )
          | hskp6 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) )
          | hskp0 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp27
          | hskp6 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | hskp2
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp5
          | hskp8 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp3
          | hskp9 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | hskp29 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | hskp29 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) )
          | hskp5 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | hskp28 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) )
          | hskp10 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | hskp6 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp8 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp5 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) )
          | hskp4 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp11 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | hskp8 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | ~ c1_1(X70) ) )
          | hskp3 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) )
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | hskp13 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp3
          | hskp1 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp0 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp14
          | hskp3 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | hskp14
          | hskp30 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | hskp15
          | hskp12 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | hskp28 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp14 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp16 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c2_1(X90) ) )
          | hskp7
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp7
          | hskp13 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp29
          | hskp17 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp28 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | hskp30 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5
          | hskp1 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp28 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp17 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | hskp18
          | hskp19 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp16
          | hskp20 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp11
          | hskp7 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp16
          | hskp15 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp3 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp21
          | hskp22 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp23
          | hskp24 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | hskp27
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp30
          | hskp20 )
        & ( hskp28
          | hskp30
          | hskp12 )
        & ( hskp28
          | hskp25
          | hskp22 )
        & ( hskp14
          | hskp7
          | hskp26 )
        & ( hskp29
          | hskp7
          | hskp13 )
        & ( hskp11
          | hskp23
          | hskp13 )
        & ( hskp23
          | hskp18
          | hskp21 )
        & ( hskp30
          | hskp20
          | hskp1 )
        & ( hskp13
          | hskp20
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c3_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | hskp27 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c1_1(X4) ) )
      | hskp27 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | ~ c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c2_1(X6)
            | ~ c0_1(X6) ) )
      | hskp28 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c2_1(X11)
            | ~ c3_1(X11) ) )
      | hskp2 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | ~ c1_1(X14) ) )
      | hskp3 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) )
      | hskp0 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c3_1(X22)
            | ~ c1_1(X22) ) )
      | hskp6 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) )
      | hskp0 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c1_1(X33)
            | ~ c2_1(X33) ) )
      | hskp29 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | hskp29 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c0_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) )
      | hskp5 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c3_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | hskp28 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c3_1(X50) ) )
      | hskp10 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | hskp6 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp8 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | hskp5 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | ~ c0_1(X61) ) )
      | hskp4 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp11 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | hskp8 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c0_1(X70)
            | ~ c1_1(X70) ) )
      | hskp3 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | ~ c1_1(X72) ) )
      | hskp12 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | hskp13 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp0 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | hskp28 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp14 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp16 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c2_1(X90) ) )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | hskp28 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) )
      | hskp30 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp28 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c1_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp17 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c1_1(X102)
            | ~ c3_1(X102) ) )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c2_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | hskp3 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c2_1(X110)
            | ~ c3_1(X110) ) )
      | hskp20 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp13
    | hskp20
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp23
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp11
    | hskp23
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp29
    | hskp7
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp28
    | hskp30
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X113] :
      ( ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | hskp23
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c1_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | ~ c2_1(X108)
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X104] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | hskp11
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X102] :
      ( c2_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X98,X99] :
      ( c2_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X91] :
      ( c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp7
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X88,X89] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp14
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X78] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp3
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X51,X52,X53] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X28] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c2_1(X19)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c2_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp30
    | c3_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp30
    | c2_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp30
    | c1_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp29
    | c3_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp29
    | c2_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp29
    | c0_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c1_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c0_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | c3_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c0_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c2_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c1_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c2_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | ~ c1_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | c0_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c2_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | ~ c0_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c1_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp21
    | c3_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c1_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c3_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c0_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | c2_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp19
    | ~ c3_1(a752) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp19
    | c0_1(a752) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c3_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | ~ c1_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c0_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c2_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | ~ c1_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp16
    | ~ c1_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp16
    | c3_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp16
    | c2_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c2_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c3_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp14
    | ~ c3_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp14
    | c1_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp14
    | c0_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | ~ c0_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c1_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c3_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | ~ c0_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c1_1(a722) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | c3_1(a722) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c0_1(a722) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c2_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | c3_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c1_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c3_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | c2_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | c1_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp6
    | ~ c2_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp6
    | c3_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c0_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c1_1(a701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c2_1(a701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a701) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c3_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | ~ c2_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | ~ c0_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c3_1(a697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | c2_1(a697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | c0_1(a697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c2_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c1_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp0
    | ~ c0_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp0
    | c2_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c1_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | ~ c3_1(X110)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f204,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f205,plain,
    ! [X98,X99] :
      ( c2_1(X98)
      | ~ c0_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f208,plain,
    ! [X88,X89] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f209,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f212,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f213,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f214,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f219,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | c2_1(X61)
      | ~ c0_1(X61)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f220,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f222,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f223,plain,
    ! [X51,X52,X53] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f224,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f225,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f226,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f229,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f230,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f231,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c1_1(X33)
      | ~ c2_1(X33)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f232,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f233,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f234,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c1_1(X22)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f235,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c2_1(X19)
      | ~ c1_1(X19)
      | c1_1(X20)
      | c2_1(X20)
      | c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f237,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | ~ c1_1(X14)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f239,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f240,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c2_1(X6)
      | ~ c0_1(X6)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f244,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_2
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f250,definition,
    ( spl0_3
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f252,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f250,f247,f244]) ).

fof(f254,definition,
    ( spl0_4
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_5
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_6
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_7
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_8
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f269,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f267,f264,f261]) ).

fof(f271,definition,
    ( spl0_9
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f273,plain,
    ( spl0_3
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f9,f271,f267,f250]) ).

fof(f275,definition,
    ( spl0_10
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_11
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f280,plain,
    ( spl0_3
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f278,f275,f250]) ).

fof(f285,definition,
    ( spl0_13
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_14
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_16
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f298,plain,
    ( spl0_1
    | spl0_5
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f295,f257,f244]) ).

fof(f300,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_18
  <=> ! [X113] :
        ( ~ c0_1(X113)
        | ~ c3_1(X113)
        | ~ c1_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X113] :
        ( ~ c1_1(X113)
        | ~ c3_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f14,f303,f300,f257,f247]) ).

fof(f307,definition,
    ( spl0_19
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_20
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_21
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c2_1(X111)
        | ~ c0_1(X111) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f316,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_17
    | spl0_21 ),
    inference(avatar_split_clause,[],[f16,f314,f300,f267,f311]) ).

fof(f318,definition,
    ( spl0_22
  <=> ! [X110] :
        ( ~ c0_1(X110)
        | ~ c3_1(X110)
        | ~ c2_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X110] :
        ( ~ c0_1(X110)
        | ~ c3_1(X110)
        | ~ c2_1(X110) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,definition,
    ( spl0_23
  <=> ! [X109] :
        ( c3_1(X109)
        | ~ c2_1(X109)
        | ~ c1_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X109] :
        ( ~ c1_1(X109)
        | ~ c2_1(X109)
        | c3_1(X109) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f323,plain,
    ( spl0_2
    | spl0_22
    | ~ spl0_17
    | spl0_23 ),
    inference(avatar_split_clause,[],[f202,f321,f300,f318,f247]) ).

fof(f325,definition,
    ( spl0_24
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X108] :
        ( ~ c0_1(X108)
        | ~ c2_1(X108)
        | c3_1(X108) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( spl0_14
    | spl0_6
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f18,f325,f300,f261,f289]) ).

fof(f329,definition,
    ( spl0_25
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_26
  <=> ! [X107] :
        ( ~ c1_1(X107)
        | ~ c3_1(X107)
        | ~ c2_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X107] :
        ( ~ c1_1(X107)
        | ~ c3_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f336,definition,
    ( spl0_27
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_28
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_29
  <=> ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | c3_1(X105)
        | ~ c0_1(X105) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f345,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f342,f300,f271,f275]) ).

fof(f347,definition,
    ( spl0_30
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f351,definition,
    ( spl0_31
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f353,plain,
    ( spl0_31
    | spl0_7
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f23,f347,f300,f264,f351]) ).

fof(f355,definition,
    ( spl0_32
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f357,plain,
    ( spl0_32
    | spl0_29
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f204,f347,f300,f342,f355]) ).

fof(f359,definition,
    ( spl0_33
  <=> ! [X98] :
        ( c2_1(X98)
        | ~ c3_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | c2_1(X98) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f361,plain,
    ( spl0_16
    | spl0_26
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f205,f359,f300,f332,f295]) ).

fof(f363,definition,
    ( spl0_34
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_35
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c1_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97)
        | ~ c0_1(X97) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl0_36
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c1_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | c2_1(X95)
        | c3_1(X95) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f375,definition,
    ( spl0_37
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | c2_1(X92)
        | c3_1(X92) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f379,definition,
    ( spl0_38
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f30,f379,f300,f275,f250]) ).

fof(f383,definition,
    ( spl0_39
  <=> ! [X90] :
        ( c1_1(X90)
        | ~ c2_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X90] :
        ( c1_1(X90)
        | ~ c2_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f386,plain,
    ( spl0_28
    | spl0_23
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f208,f383,f300,f321,f339]) ).

fof(f388,definition,
    ( spl0_40
  <=> ! [X86] :
        ( c1_1(X86)
        | ~ c2_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | ~ c2_1(X86)
        | c3_1(X86) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_13
    | spl0_22
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f209,f388,f300,f318,f285]) ).

fof(f393,definition,
    ( spl0_41
  <=> ! [X83] :
        ( c1_1(X83)
        | ~ c0_1(X83)
        | c3_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X83] :
        ( c1_1(X83)
        | ~ c0_1(X83)
        | c3_1(X83) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_1
    | spl0_27
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f35,f393,f300,f336,f244]) ).

fof(f397,plain,
    ( spl0_25
    | spl0_13
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f37,f393,f300,f285,f329]) ).

fof(f399,definition,
    ( spl0_42
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_43
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_4
    | spl0_25
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f39,f403,f300,f329,f254]) ).

fof(f406,plain,
    ( spl0_29
    | spl0_38
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f212,f403,f300,f379,f342]) ).

fof(f407,plain,
    ( spl0_3
    | spl0_41
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f213,f403,f300,f393,f250]) ).

fof(f409,definition,
    ( spl0_44
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_1
    | spl0_35
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f214,f409,f300,f366,f244]) ).

fof(f413,definition,
    ( spl0_45
  <=> ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f426,definition,
    ( spl0_48
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f429,definition,
    ( spl0_49
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c3_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | ~ c3_1(X60)
        | c0_1(X60) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f431,plain,
    ( spl0_48
    | spl0_44
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f219,f429,f300,f409,f426]) ).

fof(f433,definition,
    ( spl0_50
  <=> ! [X58] :
        ( c0_1(X58)
        | ~ c2_1(X58)
        | ~ c1_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | ~ c2_1(X58)
        | c0_1(X58) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f435,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f220,f433,f300,f366,f363]) ).

fof(f437,definition,
    ( spl0_51
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | c3_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f441,definition,
    ( spl0_52
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f443,plain,
    ( spl0_52
    | spl0_36
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f222,f437,f300,f370,f441]) ).

fof(f444,plain,
    ( spl0_37
    | spl0_44
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f223,f437,f300,f409,f375]) ).

fof(f446,definition,
    ( spl0_53
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f448,plain,
    ( spl0_53
    | spl0_49
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f224,f437,f300,f429,f446]) ).

fof(f450,definition,
    ( spl0_54
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c1_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c0_1(X46)
        | c3_1(X46) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl0_33
    | spl0_51
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f225,f450,f300,f437,f359]) ).

fof(f454,definition,
    ( spl0_55
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c3_1(X44)
        | c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X44] :
        ( c0_1(X44)
        | ~ c3_1(X44)
        | c2_1(X44) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_16
    | spl0_26
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f226,f454,f300,f332,f295]) ).

fof(f460,definition,
    ( spl0_56
  <=> ! [X36] :
        ( c0_1(X36)
        | ~ c1_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( spl0_23
    | spl0_29
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f229,f460,f300,f342,f321]) ).

fof(f463,plain,
    ( spl0_11
    | spl0_43
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f230,f460,f300,f403,f278]) ).

fof(f464,plain,
    ( spl0_11
    | spl0_50
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f231,f460,f300,f433,f278]) ).

fof(f469,definition,
    ( spl0_58
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f477,plain,
    ( spl0_52
    | spl0_19
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f63,f469,f300,f307,f441]) ).

fof(f478,plain,
    ( spl0_22
    | spl0_29
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f469,f300,f342,f318]) ).

fof(f479,plain,
    ( spl0_42
    | spl0_33
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f233,f469,f300,f359,f399]) ).

fof(f480,plain,
    ( spl0_52
    | spl0_54
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f234,f469,f300,f450,f441]) ).

fof(f481,plain,
    ( spl0_45
    | spl0_56
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f235,f469,f300,f460,f413]) ).

fof(f483,definition,
    ( spl0_60
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | ~ c3_1(X17)
        | c0_1(X17) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f487,plain,
    ( spl0_25
    | spl0_56
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f237,f483,f300,f460,f329]) ).

fof(f489,definition,
    ( spl0_61
  <=> ! [X12] :
        ( c0_1(X12)
        | ~ c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X12] :
        ( c1_1(X12)
        | ~ c2_1(X12)
        | c0_1(X12) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f493,plain,
    ( spl0_23
    | spl0_41
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f239,f489,f300,f393,f321]) ).

fof(f494,plain,
    ( spl0_16
    | spl0_44
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f240,f489,f300,f409,f295]) ).

fof(f502,definition,
    ( spl0_63
  <=> c3_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f505,plain,
    ( spl0_63
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f78,f257,f502]) ).

fof(f507,definition,
    ( spl0_64
  <=> c2_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f509,plain,
    ( spl0_64
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f79,f257,f507]) ).

fof(f511,definition,
    ( spl0_65
  <=> c1_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f512,plain,
    ( c1_1(a733)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( spl0_65
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f80,f257,f511]) ).

fof(f517,definition,
    ( spl0_66
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f520,plain,
    ( spl0_66
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f82,f278,f517]) ).

fof(f522,definition,
    ( spl0_67
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f524,plain,
    ( spl0_67
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f83,f278,f522]) ).

fof(f526,definition,
    ( spl0_68
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f527,plain,
    ( c0_1(a713)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f528,plain,
    ( spl0_68
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f84,f278,f526]) ).

fof(f531,definition,
    ( spl0_69
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f534,plain,
    ( spl0_69
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f86,f295,f531]) ).

fof(f536,definition,
    ( spl0_70
  <=> c1_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f537,plain,
    ( c1_1(a695)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( spl0_70
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f87,f295,f536]) ).

fof(f540,definition,
    ( spl0_71
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f541,plain,
    ( c0_1(a695)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( spl0_71
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f88,f295,f540]) ).

fof(f545,definition,
    ( spl0_72
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f548,plain,
    ( spl0_72
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f307,f545]) ).

fof(f554,definition,
    ( spl0_74
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f555,plain,
    ( c0_1(a691)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( spl0_74
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f92,f307,f554]) ).

fof(f592,definition,
    ( spl0_82
  <=> c2_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f594,plain,
    ( ~ spl0_82
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f103,f311,f592]) ).

fof(f596,definition,
    ( spl0_83
  <=> c1_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f597,plain,
    ( c1_1(a764)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f598,plain,
    ( spl0_83
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f104,f311,f596]) ).

fof(f601,definition,
    ( spl0_84
  <=> c2_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f604,plain,
    ( ~ spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f106,f267,f601]) ).

fof(f606,definition,
    ( spl0_85
  <=> c1_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c1_1(a763)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( ~ spl0_85
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f107,f267,f606]) ).

fof(f610,definition,
    ( spl0_86
  <=> c0_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f611,plain,
    ( c0_1(a763)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( spl0_86
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f108,f267,f610]) ).

fof(f615,definition,
    ( spl0_87
  <=> c2_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f618,plain,
    ( ~ spl0_87
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f110,f289,f615]) ).

fof(f620,definition,
    ( spl0_88
  <=> c0_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ spl0_88
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f111,f289,f620]) ).

fof(f624,definition,
    ( spl0_89
  <=> c1_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f625,plain,
    ( c1_1(a761)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( spl0_89
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f112,f289,f624]) ).

fof(f629,definition,
    ( spl0_90
  <=> c0_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ c0_1(a760)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f632,plain,
    ( ~ spl0_90
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f114,f261,f629]) ).

fof(f634,definition,
    ( spl0_91
  <=> c3_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f636,plain,
    ( spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f115,f261,f634]) ).

fof(f638,definition,
    ( spl0_92
  <=> c1_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f639,plain,
    ( c1_1(a760)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f640,plain,
    ( spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f116,f261,f638]) ).

fof(f643,definition,
    ( spl0_93
  <=> c3_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f646,plain,
    ( ~ spl0_93
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f247,f643]) ).

fof(f648,definition,
    ( spl0_94
  <=> c0_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ c0_1(a754)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f650,plain,
    ( ~ spl0_94
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f119,f247,f648]) ).

fof(f652,definition,
    ( spl0_95
  <=> c2_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f654,plain,
    ( spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f247,f652]) ).

fof(f655,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f247,f300]) ).

fof(f657,definition,
    ( spl0_96
  <=> c3_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ spl0_96
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f122,f351,f657]) ).

fof(f666,definition,
    ( spl0_98
  <=> c0_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f667,plain,
    ( c0_1(a752)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f668,plain,
    ( spl0_98
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f124,f351,f666]) ).

fof(f671,definition,
    ( spl0_99
  <=> c3_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ spl0_99
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f126,f264,f671]) ).

fof(f676,definition,
    ( spl0_100
  <=> c1_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c1_1(a751)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f678,plain,
    ( ~ spl0_100
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f127,f264,f676]) ).

fof(f680,definition,
    ( spl0_101
  <=> c0_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f681,plain,
    ( c0_1(a751)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_101
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f128,f264,f680]) ).

fof(f685,definition,
    ( spl0_102
  <=> c3_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f688,plain,
    ( ~ spl0_102
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f130,f355,f685]) ).

fof(f690,definition,
    ( spl0_103
  <=> c2_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ spl0_103
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f131,f355,f690]) ).

fof(f694,definition,
    ( spl0_104
  <=> c1_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ c1_1(a744)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f696,plain,
    ( ~ spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f132,f355,f694]) ).

fof(f699,definition,
    ( spl0_105
  <=> c1_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ c1_1(a738)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f702,plain,
    ( ~ spl0_105
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f134,f339,f699]) ).

fof(f704,definition,
    ( spl0_106
  <=> c3_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_106
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f135,f339,f704]) ).

fof(f708,definition,
    ( spl0_107
  <=> c2_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f710,plain,
    ( spl0_107
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f136,f339,f708]) ).

fof(f713,definition,
    ( spl0_108
  <=> c2_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f716,plain,
    ( ~ spl0_108
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f138,f336,f713]) ).

fof(f718,definition,
    ( spl0_109
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ c1_1(a734)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f720,plain,
    ( ~ spl0_109
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f139,f336,f718]) ).

fof(f722,definition,
    ( spl0_110
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f724,plain,
    ( spl0_110
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f140,f336,f722]) ).

fof(f727,definition,
    ( spl0_111
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_111
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f142,f285,f727]) ).

fof(f732,definition,
    ( spl0_112
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f733,plain,
    ( c1_1(a730)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( spl0_112
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f143,f285,f732]) ).

fof(f736,definition,
    ( spl0_113
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f737,plain,
    ( c0_1(a730)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f738,plain,
    ( spl0_113
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f144,f285,f736]) ).

fof(f741,definition,
    ( spl0_114
  <=> c3_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f744,plain,
    ( ~ spl0_114
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f146,f250,f741]) ).

fof(f746,definition,
    ( spl0_115
  <=> c0_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ c0_1(a726)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f748,plain,
    ( ~ spl0_115
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f147,f250,f746]) ).

fof(f750,definition,
    ( spl0_116
  <=> c1_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f751,plain,
    ( c1_1(a726)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f752,plain,
    ( spl0_116
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f148,f250,f750]) ).

fof(f753,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f149,f250,f300]) ).

fof(f755,definition,
    ( spl0_117
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f758,plain,
    ( ~ spl0_117
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f150,f244,f755]) ).

fof(f760,definition,
    ( spl0_118
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ c1_1(a725)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( ~ spl0_118
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f151,f244,f760]) ).

fof(f764,definition,
    ( spl0_119
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c0_1(a725)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f766,plain,
    ( ~ spl0_119
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f152,f244,f764]) ).

fof(f767,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f244,f300]) ).

fof(f769,definition,
    ( spl0_120
  <=> c1_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c1_1(a722)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( ~ spl0_120
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f154,f271,f769]) ).

fof(f774,definition,
    ( spl0_121
  <=> c3_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_121
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f155,f271,f774]) ).

fof(f778,definition,
    ( spl0_122
  <=> c0_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f779,plain,
    ( c0_1(a722)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f780,plain,
    ( spl0_122
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f156,f271,f778]) ).

fof(f783,definition,
    ( spl0_123
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ spl0_123
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f158,f446,f783]) ).

fof(f788,definition,
    ( spl0_124
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_124
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f159,f446,f788]) ).

fof(f792,definition,
    ( spl0_125
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f793,plain,
    ( c1_1(a717)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f794,plain,
    ( spl0_125
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f160,f446,f792]) ).

fof(f825,definition,
    ( spl0_132
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f828,plain,
    ( ~ spl0_132
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f170,f275,f825]) ).

fof(f830,definition,
    ( spl0_133
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_133
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f171,f275,f830]) ).

fof(f834,definition,
    ( spl0_134
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f835,plain,
    ( c1_1(a708)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f834]) ).

fof(f836,plain,
    ( spl0_134
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f172,f275,f834]) ).

fof(f839,definition,
    ( spl0_135
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ spl0_135
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f174,f441,f839]) ).

fof(f844,definition,
    ( spl0_136
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f846,plain,
    ( spl0_136
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f175,f441,f844]) ).

fof(f848,definition,
    ( spl0_137
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f849,plain,
    ( c0_1(a702)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f850,plain,
    ( spl0_137
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f176,f441,f848]) ).

fof(f853,definition,
    ( spl0_138
  <=> c1_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f854,plain,
    ( ~ c1_1(a701)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( ~ spl0_138
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f178,f363,f853]) ).

fof(f858,definition,
    ( spl0_139
  <=> c2_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f860,plain,
    ( spl0_139
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f179,f363,f858]) ).

fof(f862,definition,
    ( spl0_140
  <=> c0_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f863,plain,
    ( c0_1(a701)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f864,plain,
    ( spl0_140
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f180,f363,f862]) ).

fof(f867,definition,
    ( spl0_141
  <=> c3_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f870,plain,
    ( ~ spl0_141
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f182,f426,f867]) ).

fof(f872,definition,
    ( spl0_142
  <=> c2_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ spl0_142
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f183,f426,f872]) ).

fof(f876,definition,
    ( spl0_143
  <=> c0_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c0_1(a698)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f878,plain,
    ( ~ spl0_143
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f184,f426,f876]) ).

fof(f881,definition,
    ( spl0_144
  <=> c3_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f884,plain,
    ( ~ spl0_144
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f186,f329,f881]) ).

fof(f886,definition,
    ( spl0_145
  <=> c2_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_145
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f187,f329,f886]) ).

fof(f890,definition,
    ( spl0_146
  <=> c0_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f891,plain,
    ( c0_1(a697)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f892,plain,
    ( spl0_146
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f188,f329,f890]) ).

fof(f909,definition,
    ( spl0_150
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ spl0_150
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f194,f254,f909]) ).

fof(f914,definition,
    ( spl0_151
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ c1_1(a693)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f916,plain,
    ( ~ spl0_151
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f195,f254,f914]) ).

fof(f918,definition,
    ( spl0_152
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f920,plain,
    ( spl0_152
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f196,f254,f918]) ).

fof(f923,definition,
    ( spl0_153
  <=> c1_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f924,plain,
    ( ~ c1_1(a692)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_153
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f198,f399,f923]) ).

fof(f928,definition,
    ( spl0_154
  <=> c0_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c0_1(a692)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f930,plain,
    ( ~ spl0_154
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f199,f399,f928]) ).

fof(f932,definition,
    ( spl0_155
  <=> c2_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f934,plain,
    ( spl0_155
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f200,f399,f932]) ).

fof(f939,definition,
    ( spl0_156
  <=> c3_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ c3_1(a713)
    | ~ c2_1(a713)
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(resolution,[],[f319,f527]) ).

fof(f949,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_22
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f942,f526,f318,f517,f522]) ).

fof(f951,plain,
    ( ~ c2_1(a695)
    | c3_1(a695)
    | ~ spl0_24
    | ~ spl0_71 ),
    inference(resolution,[],[f326,f541]) ).

fof(f954,plain,
    ( spl0_156
    | ~ spl0_69
    | ~ spl0_24
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f951,f540,f325,f531,f939]) ).

fof(f963,plain,
    ( ~ c3_1(a733)
    | ~ c2_1(a733)
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f333,f512]) ).

fof(f971,plain,
    ( ~ spl0_64
    | ~ spl0_63
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f963,f511,f332,f502,f507]) ).

fof(f972,plain,
    ( c3_1(a695)
    | ~ c0_1(a695)
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(resolution,[],[f343,f537]) ).

fof(f975,plain,
    ( ~ spl0_71
    | spl0_156
    | ~ spl0_29
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f972,f536,f342,f939,f540]) ).

fof(f983,definition,
    ( spl0_159
  <=> c3_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1018,definition,
    ( spl0_161
  <=> c2_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(resolution,[],[f389,f343]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1035]) ).

fof(f1045,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(resolution,[],[f394,f343]) ).

fof(f1048,plain,
    ( ~ c0_1(a763)
    | c3_1(a763)
    | ~ spl0_41
    | spl0_85 ),
    inference(resolution,[],[f394,f607]) ).

fof(f1051,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1045]) ).

fof(f1059,plain,
    ( ~ c0_1(a744)
    | c3_1(a744)
    | ~ spl0_41
    | spl0_104 ),
    inference(resolution,[],[f695,f394]) ).

fof(f1063,definition,
    ( spl0_162
  <=> c0_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1064,plain,
    ( ~ c0_1(a744)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1067,plain,
    ( ~ c2_1(a725)
    | c3_1(a725)
    | ~ spl0_40
    | spl0_118 ),
    inference(resolution,[],[f761,f389]) ).

fof(f1070,definition,
    ( spl0_163
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ c0_1(a701)
    | c3_1(a701)
    | ~ spl0_41
    | spl0_138 ),
    inference(resolution,[],[f854,f394]) ).

fof(f1077,definition,
    ( spl0_164
  <=> c3_1(a701) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1082,plain,
    ( spl0_164
    | ~ spl0_140
    | ~ spl0_41
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1074,f853,f393,f862,f1077]) ).

fof(f1087,plain,
    ( ~ c3_1(a701)
    | ~ c2_1(a701)
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(resolution,[],[f319,f863]) ).

fof(f1089,plain,
    ( ~ spl0_139
    | ~ spl0_164
    | ~ spl0_22
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1087,f862,f318,f1077,f858]) ).

fof(f1090,plain,
    ( spl0_24
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1040,f388,f342,f325]) ).

fof(f1094,definition,
    ( spl0_165
  <=> c2_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1101,definition,
    ( spl0_166
  <=> c2_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1110,plain,
    ( ~ c2_1(a693)
    | c3_1(a693)
    | ~ spl0_40
    | spl0_151 ),
    inference(resolution,[],[f915,f389]) ).

fof(f1115,definition,
    ( spl0_167
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1116,plain,
    ( ~ c0_1(a693)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1120,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(resolution,[],[f322,f394]) ).

fof(f1126,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1120]) ).

fof(f1131,plain,
    ( spl0_24
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1126,f393,f321,f325]) ).

fof(f1135,plain,
    ( ~ c3_1(a760)
    | ~ c2_1(a760)
    | ~ spl0_26
    | ~ spl0_92 ),
    inference(resolution,[],[f333,f639]) ).

fof(f1139,plain,
    ( ~ spl0_165
    | ~ spl0_91
    | ~ spl0_26
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1135,f638,f332,f634,f1094]) ).

fof(f1144,definition,
    ( spl0_168
  <=> c2_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1187,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(resolution,[],[f404,f367]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(resolution,[],[f404,f304]) ).

fof(f1192,plain,
    ( ~ c3_1(a722)
    | c2_1(a722)
    | ~ spl0_43
    | spl0_120 ),
    inference(resolution,[],[f404,f770]) ).

fof(f1197,plain,
    ( ~ c3_1(a763)
    | c2_1(a763)
    | ~ spl0_43
    | spl0_85 ),
    inference(resolution,[],[f404,f607]) ).

fof(f1199,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1190]) ).

fof(f1202,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1187]) ).

fof(f1208,plain,
    ( spl0_166
    | ~ spl0_121
    | ~ spl0_43
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1192,f769,f403,f774,f1101]) ).

fof(f1209,plain,
    ( spl0_33
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1199,f403,f303,f359]) ).

fof(f1210,plain,
    ( spl0_33
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1202,f403,f366,f359]) ).

fof(f1212,plain,
    ( ~ c2_1(a697)
    | c3_1(a697)
    | ~ spl0_24
    | ~ spl0_146 ),
    inference(resolution,[],[f891,f326]) ).

fof(f1216,plain,
    ( spl0_144
    | ~ spl0_145
    | ~ spl0_24
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1212,f890,f325,f886,f881]) ).

fof(f1225,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(resolution,[],[f410,f348]) ).

fof(f1229,plain,
    ( ~ c0_1(a722)
    | c2_1(a722)
    | ~ spl0_44
    | spl0_120 ),
    inference(resolution,[],[f410,f770]) ).

fof(f1234,plain,
    ( ~ c0_1(a763)
    | c2_1(a763)
    | ~ spl0_44
    | spl0_85 ),
    inference(resolution,[],[f410,f607]) ).

fof(f1237,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1225]) ).

fof(f1244,plain,
    ( spl0_166
    | ~ spl0_122
    | ~ spl0_44
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1229,f769,f409,f778,f1101]) ).

fof(f1246,plain,
    ( spl0_33
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1237,f409,f347,f359]) ).

fof(f1255,plain,
    ( c3_1(a725)
    | c2_1(a725)
    | ~ spl0_45
    | spl0_118 ),
    inference(resolution,[],[f414,f761]) ).

fof(f1257,plain,
    ( c3_1(a744)
    | c2_1(a744)
    | ~ spl0_45
    | spl0_104 ),
    inference(resolution,[],[f414,f695]) ).

fof(f1291,plain,
    ( ~ c3_1(a760)
    | c0_1(a760)
    | ~ spl0_49
    | ~ spl0_92 ),
    inference(resolution,[],[f430,f639]) ).

fof(f1294,plain,
    ( ~ c2_1(a726)
    | c0_1(a726)
    | ~ spl0_50
    | ~ spl0_116 ),
    inference(resolution,[],[f434,f751]) ).

fof(f1295,plain,
    ( ~ c2_1(a760)
    | c0_1(a760)
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(resolution,[],[f434,f639]) ).

fof(f1306,plain,
    ( ~ c2_1(a693)
    | c3_1(a693)
    | ~ spl0_51
    | spl0_167 ),
    inference(resolution,[],[f438,f1116]) ).

fof(f1309,plain,
    ( ~ c2_1(a725)
    | c3_1(a725)
    | ~ spl0_51
    | spl0_119 ),
    inference(resolution,[],[f438,f765]) ).

fof(f1331,plain,
    ( spl0_150
    | ~ spl0_152
    | ~ spl0_51
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1306,f1115,f437,f918,f909]) ).

fof(f1335,plain,
    ( c0_1(a726)
    | c3_1(a726)
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(resolution,[],[f451,f751]) ).

fof(f1341,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1335,f750,f450,f746,f741]) ).

fof(f1346,plain,
    ( spl0_163
    | spl0_117
    | ~ spl0_45
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1255,f760,f413,f755,f1070]) ).

fof(f1347,plain,
    ( spl0_103
    | spl0_102
    | ~ spl0_45
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1257,f694,f413,f685,f690]) ).

fof(f1349,plain,
    ( spl0_90
    | ~ spl0_165
    | ~ spl0_50
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1295,f638,f433,f1094,f629]) ).

fof(f1360,plain,
    ( c3_1(a752)
    | ~ spl0_29
    | ~ spl0_41
    | ~ spl0_98 ),
    inference(resolution,[],[f667,f1051]) ).

fof(f1367,plain,
    ( spl0_96
    | ~ spl0_29
    | ~ spl0_41
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1360,f666,f393,f342,f657]) ).

fof(f1379,plain,
    ( spl0_115
    | ~ spl0_161
    | ~ spl0_50
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1294,f750,f433,f1018,f746]) ).

fof(f1389,plain,
    ( ~ c2_1(a751)
    | c3_1(a751)
    | ~ spl0_24
    | ~ spl0_101 ),
    inference(resolution,[],[f681,f326]) ).

fof(f1391,plain,
    ( spl0_99
    | ~ spl0_168
    | ~ spl0_24
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1389,f680,f325,f1144,f671]) ).

fof(f1413,plain,
    ( ~ c2_1(a730)
    | c3_1(a730)
    | ~ spl0_24
    | ~ spl0_113 ),
    inference(resolution,[],[f737,f326]) ).

fof(f1416,definition,
    ( spl0_170
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1418,plain,
    ( spl0_111
    | ~ spl0_170
    | ~ spl0_24
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1413,f736,f325,f1416,f727]) ).

fof(f1427,plain,
    ( spl0_150
    | ~ spl0_152
    | ~ spl0_40
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1110,f914,f388,f918,f909]) ).

fof(f1430,plain,
    ( spl0_117
    | ~ spl0_163
    | ~ spl0_40
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1067,f760,f388,f1070,f755]) ).

fof(f1451,definition,
    ( spl0_171
  <=> c0_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1476,plain,
    ( ~ c2_1(a708)
    | c3_1(a708)
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(resolution,[],[f322,f835]) ).

fof(f1478,plain,
    ( ~ c2_1(a726)
    | c3_1(a726)
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(resolution,[],[f322,f751]) ).

fof(f1479,plain,
    ( ~ c2_1(a730)
    | c3_1(a730)
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(resolution,[],[f322,f733]) ).

fof(f1482,plain,
    ( spl0_111
    | ~ spl0_170
    | ~ spl0_23
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1479,f732,f321,f1416,f727]) ).

fof(f1483,plain,
    ( spl0_114
    | ~ spl0_161
    | ~ spl0_23
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1478,f750,f321,f1018,f741]) ).

fof(f1485,plain,
    ( spl0_132
    | ~ spl0_133
    | ~ spl0_23
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1476,f834,f321,f830,f825]) ).

fof(f1509,plain,
    ( ~ c3_1(a691)
    | ~ c2_1(a691)
    | ~ spl0_22
    | ~ spl0_74 ),
    inference(resolution,[],[f555,f319]) ).

fof(f1512,definition,
    ( spl0_173
  <=> c2_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1515,plain,
    ( ~ spl0_173
    | ~ spl0_72
    | ~ spl0_22
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1509,f554,f318,f545,f1512]) ).

fof(f1518,plain,
    ( ~ c3_1(a702)
    | c2_1(a702)
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(resolution,[],[f360,f849]) ).

fof(f1523,plain,
    ( ~ c3_1(a691)
    | c2_1(a691)
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(resolution,[],[f360,f555]) ).

fof(f1525,plain,
    ( spl0_173
    | ~ spl0_72
    | ~ spl0_33
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1523,f554,f359,f545,f1512]) ).

fof(f1535,plain,
    ( c2_1(a717)
    | ~ c0_1(a717)
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(resolution,[],[f367,f793]) ).

fof(f1537,plain,
    ( c2_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_35
    | ~ spl0_112 ),
    inference(resolution,[],[f367,f733]) ).

fof(f1544,plain,
    ( ~ spl0_113
    | spl0_170
    | ~ spl0_35
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1537,f732,f366,f1416,f736]) ).

fof(f1547,plain,
    ( ~ spl0_171
    | spl0_123
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1535,f792,f366,f783,f1451]) ).

fof(f1559,plain,
    ( spl0_159
    | ~ spl0_86
    | ~ spl0_41
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1048,f606,f393,f610,f983]) ).

fof(f1560,plain,
    ( spl0_102
    | ~ spl0_162
    | ~ spl0_41
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1059,f694,f393,f1063,f685]) ).

fof(f1588,plain,
    ( c3_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(resolution,[],[f343,f733]) ).

fof(f1592,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_29
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1588,f732,f342,f727,f736]) ).

fof(f1595,plain,
    ( ~ c3_1(a717)
    | c2_1(a717)
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(resolution,[],[f348,f793]) ).

fof(f1598,plain,
    ( ~ c3_1(a760)
    | c2_1(a760)
    | ~ spl0_30
    | ~ spl0_92 ),
    inference(resolution,[],[f348,f639]) ).

fof(f1601,plain,
    ( spl0_165
    | ~ spl0_91
    | ~ spl0_30
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1598,f638,f347,f634,f1094]) ).

fof(f1602,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_30
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1595,f792,f347,f788,f783]) ).

fof(f1606,plain,
    ( spl0_117
    | ~ spl0_163
    | ~ spl0_51
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1309,f764,f437,f1070,f755]) ).

fof(f1616,plain,
    ( ~ c3_1(a722)
    | c2_1(a722)
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(resolution,[],[f779,f360]) ).

fof(f1617,plain,
    ( ~ c3_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(resolution,[],[f779,f319]) ).

fof(f1618,plain,
    ( ~ spl0_166
    | ~ spl0_121
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1617,f778,f318,f774,f1101]) ).

fof(f1619,plain,
    ( spl0_166
    | ~ spl0_121
    | ~ spl0_33
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1616,f778,f359,f774,f1101]) ).

fof(f1629,plain,
    ( ~ c2_1(a695)
    | ~ c0_1(a695)
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(resolution,[],[f537,f315]) ).

fof(f1633,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1629,f536,f314,f531,f540]) ).

fof(f1635,plain,
    ( ~ c3_1(a695)
    | ~ c2_1(a695)
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(resolution,[],[f541,f319]) ).

fof(f1636,plain,
    ( ~ spl0_69
    | ~ spl0_156
    | ~ spl0_22
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1635,f540,f318,f939,f531]) ).

fof(f1639,plain,
    ( c2_1(a764)
    | ~ c0_1(a764)
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(resolution,[],[f597,f367]) ).

fof(f1641,definition,
    ( spl0_174
  <=> c0_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1644,plain,
    ( ~ spl0_174
    | spl0_82
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1639,f596,f366,f592,f1641]) ).

fof(f1657,plain,
    ( ~ c3_1(a692)
    | ~ c2_1(a692)
    | ~ spl0_38
    | spl0_153 ),
    inference(resolution,[],[f380,f924]) ).

fof(f1659,plain,
    ( ~ c3_1(a722)
    | ~ c2_1(a722)
    | ~ spl0_38
    | spl0_120 ),
    inference(resolution,[],[f380,f770]) ).

fof(f1662,plain,
    ( ~ c3_1(a738)
    | ~ c2_1(a738)
    | ~ spl0_38
    | spl0_105 ),
    inference(resolution,[],[f380,f700]) ).

fof(f1669,plain,
    ( ~ spl0_107
    | ~ spl0_106
    | ~ spl0_38
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1662,f699,f379,f704,f708]) ).

fof(f1670,plain,
    ( ~ spl0_166
    | ~ spl0_121
    | ~ spl0_38
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1659,f769,f379,f774,f1101]) ).

fof(f1674,definition,
    ( spl0_175
  <=> c3_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1676,plain,
    ( ~ spl0_155
    | ~ spl0_175
    | ~ spl0_38
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1657,f923,f379,f1674,f932]) ).

fof(f1681,plain,
    ( ~ c2_1(a693)
    | ~ c0_1(a693)
    | ~ spl0_39
    | spl0_151 ),
    inference(resolution,[],[f384,f915]) ).

fof(f1691,plain,
    ( ~ spl0_167
    | ~ spl0_152
    | ~ spl0_39
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1681,f914,f383,f918,f1115]) ).

fof(f1696,plain,
    ( ~ c0_1(a693)
    | c3_1(a693)
    | ~ spl0_41
    | spl0_151 ),
    inference(resolution,[],[f394,f915]) ).

fof(f1701,plain,
    ( ~ c0_1(a751)
    | c3_1(a751)
    | ~ spl0_41
    | spl0_100 ),
    inference(resolution,[],[f394,f677]) ).

fof(f1704,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_41
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1701,f676,f393,f680,f671]) ).

fof(f1705,plain,
    ( spl0_150
    | ~ spl0_167
    | ~ spl0_41
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1696,f914,f393,f1115,f909]) ).

fof(f1709,plain,
    ( ~ c2_1(a692)
    | c3_1(a692)
    | ~ spl0_51
    | spl0_154 ),
    inference(resolution,[],[f438,f929]) ).

fof(f1714,plain,
    ( ~ c2_1(a726)
    | c3_1(a726)
    | ~ spl0_51
    | spl0_115 ),
    inference(resolution,[],[f438,f747]) ).

fof(f1716,plain,
    ( ~ c2_1(a754)
    | c3_1(a754)
    | ~ spl0_51
    | spl0_94 ),
    inference(resolution,[],[f438,f649]) ).

fof(f1725,plain,
    ( spl0_93
    | ~ spl0_95
    | ~ spl0_51
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1716,f648,f437,f652,f643]) ).

fof(f1726,plain,
    ( spl0_114
    | ~ spl0_161
    | ~ spl0_51
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1714,f746,f437,f1018,f741]) ).

fof(f1742,plain,
    ( ~ c3_1(a760)
    | c2_1(a760)
    | ~ spl0_55
    | spl0_90 ),
    inference(resolution,[],[f455,f630]) ).

fof(f1751,plain,
    ( spl0_165
    | ~ spl0_91
    | ~ spl0_55
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1742,f629,f454,f634,f1094]) ).

fof(f1758,plain,
    ( c0_1(a760)
    | c2_1(a760)
    | ~ spl0_56
    | ~ spl0_92 ),
    inference(resolution,[],[f461,f639]) ).

fof(f1759,plain,
    ( c0_1(a764)
    | c2_1(a764)
    | ~ spl0_56
    | ~ spl0_83 ),
    inference(resolution,[],[f461,f597]) ).

fof(f1764,plain,
    ( spl0_82
    | spl0_174
    | ~ spl0_56
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1759,f596,f460,f1641,f592]) ).

fof(f1765,plain,
    ( spl0_165
    | spl0_90
    | ~ spl0_56
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1758,f638,f460,f629,f1094]) ).

fof(f1777,plain,
    ( c2_1(a763)
    | c3_1(a763)
    | ~ spl0_37
    | ~ spl0_86 ),
    inference(resolution,[],[f611,f376]) ).

fof(f1781,plain,
    ( c3_1(a698)
    | c2_1(a698)
    | ~ spl0_58
    | spl0_143 ),
    inference(resolution,[],[f470,f877]) ).

fof(f1785,plain,
    ( c3_1(a726)
    | c2_1(a726)
    | ~ spl0_58
    | spl0_115 ),
    inference(resolution,[],[f470,f747]) ).

fof(f1786,plain,
    ( c3_1(a744)
    | c2_1(a744)
    | ~ spl0_58
    | spl0_162 ),
    inference(resolution,[],[f470,f1064]) ).

fof(f1799,plain,
    ( spl0_142
    | spl0_141
    | ~ spl0_58
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1781,f876,f469,f867,f872]) ).

fof(f1801,plain,
    ( spl0_84
    | ~ spl0_159
    | ~ spl0_43
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1197,f606,f403,f983,f601]) ).

fof(f1804,plain,
    ( spl0_90
    | ~ spl0_91
    | ~ spl0_49
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1291,f638,f429,f634,f629]) ).

fof(f1807,plain,
    ( spl0_175
    | ~ spl0_155
    | ~ spl0_51
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1709,f928,f437,f932,f1674]) ).

fof(f1810,plain,
    ( c0_1(a761)
    | c2_1(a761)
    | ~ spl0_56
    | ~ spl0_89 ),
    inference(resolution,[],[f625,f461]) ).

fof(f1811,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_56
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1810,f624,f460,f620,f615]) ).

fof(f1826,plain,
    ( spl0_135
    | ~ spl0_136
    | ~ spl0_33
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1518,f848,f359,f844,f839]) ).

fof(f1836,plain,
    ( spl0_159
    | spl0_84
    | ~ spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1777,f610,f375,f601,f983]) ).

fof(f1840,plain,
    ( spl0_84
    | ~ spl0_86
    | ~ spl0_44
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1234,f606,f409,f610,f601]) ).

fof(f1842,plain,
    ( spl0_161
    | spl0_114
    | ~ spl0_58
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1785,f746,f469,f741,f1018]) ).

fof(f1843,plain,
    ( spl0_103
    | spl0_102
    | ~ spl0_58
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1786,f1063,f469,f685,f690]) ).

fof(f1853,plain,
    ( c0_1(a726)
    | c2_1(a726)
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(resolution,[],[f751,f461]) ).

fof(f1854,plain,
    ( spl0_161
    | spl0_115
    | ~ spl0_56
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1853,f750,f460,f746,f1018]) ).

fof(f1855,plain,
    ( c0_1(a717)
    | c2_1(a717)
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(resolution,[],[f793,f461]) ).

fof(f1856,plain,
    ( c0_1(a717)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1857,plain,
    ( spl0_123
    | spl0_171
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1855,f792,f460,f1451,f783]) ).

fof(f1893,plain,
    ( ~ c3_1(a763)
    | c2_1(a763)
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(resolution,[],[f360,f611]) ).

fof(f1895,plain,
    ( spl0_84
    | ~ spl0_159
    | ~ spl0_33
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1893,f610,f359,f983,f601]) ).

fof(f1899,plain,
    ( c2_1(a726)
    | c3_1(a726)
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(resolution,[],[f371,f751]) ).

fof(f1905,plain,
    ( spl0_114
    | spl0_161
    | ~ spl0_36
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1899,f750,f370,f1018,f741]) ).

fof(f1909,plain,
    ( c2_1(a730)
    | c3_1(a730)
    | ~ spl0_37
    | ~ spl0_113 ),
    inference(resolution,[],[f376,f737]) ).

fof(f1910,plain,
    ( c2_1(a751)
    | c3_1(a751)
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f376,f681]) ).

fof(f1913,plain,
    ( spl0_99
    | spl0_168
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1910,f680,f375,f1144,f671]) ).

fof(f1914,plain,
    ( spl0_111
    | spl0_170
    | ~ spl0_37
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1909,f736,f375,f1416,f727]) ).

fof(f1923,plain,
    ( ~ c3_1(a734)
    | c2_1(a734)
    | ~ spl0_43
    | spl0_109 ),
    inference(resolution,[],[f404,f719]) ).

fof(f1933,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_43
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1923,f718,f403,f722,f713]) ).

fof(f1954,plain,
    ( ~ c0_1(a744)
    | c2_1(a744)
    | ~ spl0_44
    | spl0_104 ),
    inference(resolution,[],[f410,f695]) ).

fof(f1955,plain,
    ( ~ c0_1(a751)
    | c2_1(a751)
    | ~ spl0_44
    | spl0_100 ),
    inference(resolution,[],[f410,f677]) ).

fof(f1961,plain,
    ( spl0_168
    | ~ spl0_101
    | ~ spl0_44
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1955,f676,f409,f680,f1144]) ).

fof(f1990,plain,
    ( c3_1(a725)
    | c2_1(a725)
    | ~ spl0_58
    | spl0_119 ),
    inference(resolution,[],[f470,f765]) ).

fof(f1999,plain,
    ( spl0_163
    | spl0_117
    | ~ spl0_58
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1990,f764,f469,f755,f1070]) ).

fof(f2006,plain,
    ( ~ c3_1(a692)
    | c0_1(a692)
    | ~ spl0_60
    | spl0_153 ),
    inference(resolution,[],[f484,f924]) ).

fof(f2028,plain,
    ( spl0_154
    | ~ spl0_175
    | ~ spl0_60
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2006,f923,f483,f1674,f928]) ).

fof(f2033,plain,
    ( ~ c2_1(a692)
    | c0_1(a692)
    | ~ spl0_61
    | spl0_153 ),
    inference(resolution,[],[f490,f924]) ).

fof(f2034,plain,
    ( ~ c2_1(a693)
    | c0_1(a693)
    | ~ spl0_61
    | spl0_151 ),
    inference(resolution,[],[f490,f915]) ).

fof(f2037,plain,
    ( ~ c2_1(a725)
    | c0_1(a725)
    | ~ spl0_61
    | spl0_118 ),
    inference(resolution,[],[f490,f761]) ).

fof(f2049,plain,
    ( spl0_119
    | ~ spl0_163
    | ~ spl0_61
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2037,f760,f489,f1070,f764]) ).

fof(f2052,plain,
    ( spl0_167
    | ~ spl0_152
    | ~ spl0_61
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2034,f914,f489,f918,f1115]) ).

fof(f2053,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_61
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2033,f923,f489,f932,f928]) ).

fof(f2055,plain,
    ( spl0_103
    | ~ spl0_162
    | ~ spl0_44
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1954,f694,f409,f1063,f690]) ).

fof(f2088,plain,
    ( ~ c3_1(a717)
    | c2_1(a717)
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(resolution,[],[f1856,f360]) ).

fof(f2090,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_33
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2088,f1451,f359,f788,f783]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_5
    | spl0_16 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s9,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s11,plain,
    ( spl0_8
    | ~ spl0_17
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s13,plain,
    ( spl0_6
    | spl0_14
    | ~ spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s16,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_17
    | spl0_29 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s18,plain,
    ( spl0_7
    | ~ spl0_17
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s19,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s20,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s25,plain,
    ( spl0_3
    | spl0_10
    | ~ spl0_17
    | spl0_38 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s27,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_28
    | spl0_39 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s28,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_22
    | spl0_40 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_27
    | spl0_41 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s32,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s34,plain,
    ( spl0_4
    | ~ spl0_17
    | spl0_25
    | spl0_43 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s35,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_38
    | spl0_43 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s36,plain,
    ( spl0_3
    | ~ spl0_17
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s37,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s42,plain,
    ( ~ spl0_17
    | spl0_44
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s43,plain,
    ( ~ spl0_17
    | spl0_34
    | spl0_35
    | spl0_50 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s45,plain,
    ( ~ spl0_17
    | spl0_36
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s46,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s47,plain,
    ( ~ spl0_17
    | spl0_49
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s48,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s49,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_26
    | spl0_55 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s52,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_29
    | spl0_56 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s53,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_43
    | spl0_56 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s54,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_50
    | spl0_56 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s58,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s59,plain,
    ( ~ spl0_17
    | spl0_22
    | spl0_29
    | spl0_58 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s60,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s61,plain,
    ( ~ spl0_17
    | spl0_52
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s62,plain,
    ( ~ spl0_17
    | spl0_45
    | spl0_56
    | spl0_58 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s65,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s68,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_41
    | spl0_61 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s69,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_44
    | spl0_61 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s73,plain,
    ( ~ spl0_5
    | spl0_63 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s74,plain,
    ( ~ spl0_5
    | spl0_64 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s75,plain,
    ( ~ spl0_5
    | spl0_65 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s77,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s78,plain,
    ( ~ spl0_11
    | spl0_67 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s79,plain,
    ( ~ spl0_11
    | spl0_68 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s81,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s82,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s83,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | spl0_72 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | spl0_74 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s98,plain,
    ( ~ spl0_20
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s99,plain,
    ( ~ spl0_20
    | spl0_83 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s101,plain,
    ( ~ spl0_8
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s102,plain,
    ( ~ spl0_8
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s103,plain,
    ( ~ spl0_8
    | spl0_86 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s105,plain,
    ( ~ spl0_14
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s106,plain,
    ( ~ spl0_14
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s107,plain,
    ( ~ spl0_14
    | spl0_89 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s109,plain,
    ( ~ spl0_6
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s110,plain,
    ( ~ spl0_6
    | spl0_91 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s111,plain,
    ( ~ spl0_6
    | spl0_92 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | spl0_95 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s116,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s117,plain,
    ( ~ spl0_31
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s119,plain,
    ( ~ spl0_31
    | spl0_98 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s121,plain,
    ( ~ spl0_7
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s122,plain,
    ( ~ spl0_7
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s123,plain,
    ( ~ spl0_7
    | spl0_101 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s125,plain,
    ( ~ spl0_32
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s126,plain,
    ( ~ spl0_32
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s127,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s129,plain,
    ( ~ spl0_28
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s130,plain,
    ( ~ spl0_28
    | spl0_106 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s131,plain,
    ( ~ spl0_28
    | spl0_107 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s133,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s134,plain,
    ( ~ spl0_27
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s135,plain,
    ( ~ spl0_27
    | spl0_110 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s137,plain,
    ( ~ spl0_13
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s138,plain,
    ( ~ spl0_13
    | spl0_112 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s139,plain,
    ( ~ spl0_13
    | spl0_113 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s141,plain,
    ( ~ spl0_3
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s142,plain,
    ( ~ spl0_3
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s143,plain,
    ( ~ spl0_3
    | spl0_116 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s144,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s145,plain,
    ( ~ spl0_1
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s146,plain,
    ( ~ spl0_1
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s147,plain,
    ( ~ spl0_1
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s148,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s149,plain,
    ( ~ spl0_9
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s150,plain,
    ( ~ spl0_9
    | spl0_121 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s151,plain,
    ( ~ spl0_9
    | spl0_122 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s153,plain,
    ( ~ spl0_53
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s154,plain,
    ( ~ spl0_53
    | spl0_124 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s155,plain,
    ( ~ spl0_53
    | spl0_125 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s165,plain,
    ( ~ spl0_10
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s166,plain,
    ( ~ spl0_10
    | spl0_133 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s167,plain,
    ( ~ spl0_10
    | spl0_134 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s169,plain,
    ( ~ spl0_52
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s170,plain,
    ( ~ spl0_52
    | spl0_136 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s171,plain,
    ( ~ spl0_52
    | spl0_137 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s173,plain,
    ( ~ spl0_34
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s174,plain,
    ( ~ spl0_34
    | spl0_139 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s175,plain,
    ( ~ spl0_34
    | spl0_140 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s177,plain,
    ( ~ spl0_48
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s178,plain,
    ( ~ spl0_48
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s179,plain,
    ( ~ spl0_48
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s181,plain,
    ( ~ spl0_25
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s182,plain,
    ( ~ spl0_25
    | spl0_145 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s183,plain,
    ( ~ spl0_25
    | spl0_146 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s189,plain,
    ( ~ spl0_4
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s190,plain,
    ( ~ spl0_4
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s191,plain,
    ( ~ spl0_4
    | spl0_152 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s193,plain,
    ( ~ spl0_42
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s194,plain,
    ( ~ spl0_42
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s195,plain,
    ( ~ spl0_42
    | spl0_155 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s199,plain,
    ( ~ spl0_22
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s200,plain,
    ( ~ spl0_24
    | ~ spl0_69
    | ~ spl0_71
    | spl0_156 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s203,plain,
    ( ~ spl0_26
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s204,plain,
    ( ~ spl0_29
    | ~ spl0_70
    | ~ spl0_71
    | spl0_156 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s220,plain,
    ( ~ spl0_41
    | spl0_138
    | ~ spl0_140
    | spl0_164 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s222,plain,
    ( ~ spl0_22
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s223,plain,
    ( spl0_24
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s235,plain,
    ( ~ spl0_23
    | spl0_24
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s237,plain,
    ( ~ spl0_26
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s249,plain,
    ( ~ spl0_43
    | spl0_120
    | ~ spl0_121
    | spl0_166 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s250,plain,
    ( ~ spl0_18
    | spl0_33
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s251,plain,
    ( spl0_33
    | ~ spl0_35
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s252,plain,
    ( ~ spl0_24
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s255,plain,
    ( ~ spl0_44
    | spl0_120
    | ~ spl0_122
    | spl0_166 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s257,plain,
    ( ~ spl0_30
    | spl0_33
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s272,plain,
    ( ~ spl0_51
    | spl0_150
    | ~ spl0_152
    | spl0_167 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s275,plain,
    ( ~ spl0_54
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s280,plain,
    ( ~ spl0_45
    | spl0_117
    | spl0_118
    | spl0_163 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s281,plain,
    ( ~ spl0_45
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1347]) ).

cnf(s283,plain,
    ( ~ spl0_50
    | spl0_90
    | ~ spl0_92
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1349]) ).

cnf(s288,plain,
    ( ~ spl0_29
    | ~ spl0_41
    | spl0_96
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s300,plain,
    ( ~ spl0_50
    | spl0_115
    | ~ spl0_116
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s309,plain,
    ( ~ spl0_24
    | spl0_99
    | ~ spl0_101
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1391]) ).

cnf(s322,plain,
    ( ~ spl0_24
    | spl0_111
    | ~ spl0_113
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s330,plain,
    ( ~ spl0_40
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1427]) ).

cnf(s333,plain,
    ( ~ spl0_40
    | spl0_117
    | spl0_118
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1430]) ).

cnf(s356,plain,
    ( ~ spl0_23
    | spl0_111
    | ~ spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s357,plain,
    ( ~ spl0_23
    | spl0_114
    | ~ spl0_116
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1483]) ).

cnf(s358,plain,
    ( ~ spl0_23
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s382,plain,
    ( ~ spl0_22
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s383,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | ~ spl0_74
    | spl0_173 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s391,plain,
    ( ~ spl0_35
    | ~ spl0_112
    | ~ spl0_113
    | spl0_170 ),
    inference(sat_conversion,[],[f1544]) ).

cnf(s393,plain,
    ( ~ spl0_35
    | spl0_123
    | ~ spl0_125
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1547]) ).

cnf(s408,plain,
    ( ~ spl0_41
    | spl0_85
    | ~ spl0_86
    | spl0_159 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s411,plain,
    ( ~ spl0_41
    | spl0_102
    | spl0_104
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s421,plain,
    ( ~ spl0_29
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1592]) ).

cnf(s423,plain,
    ( ~ spl0_30
    | ~ spl0_91
    | ~ spl0_92
    | spl0_165 ),
    inference(sat_conversion,[],[f1601]) ).

cnf(s424,plain,
    ( ~ spl0_30
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s428,plain,
    ( ~ spl0_51
    | spl0_117
    | spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1606]) ).

cnf(s438,plain,
    ( ~ spl0_22
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s439,plain,
    ( ~ spl0_33
    | ~ spl0_121
    | ~ spl0_122
    | spl0_166 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s449,plain,
    ( ~ spl0_21
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s450,plain,
    ( ~ spl0_22
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s451,plain,
    ( ~ spl0_35
    | spl0_82
    | ~ spl0_83
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1644]) ).

cnf(s453,plain,
    ( ~ spl0_38
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s454,plain,
    ( ~ spl0_38
    | spl0_120
    | ~ spl0_121
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s456,plain,
    ( ~ spl0_38
    | spl0_153
    | ~ spl0_155
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s459,plain,
    ( ~ spl0_39
    | spl0_151
    | ~ spl0_152
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s460,plain,
    ( ~ spl0_41
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s461,plain,
    ( ~ spl0_41
    | spl0_150
    | spl0_151
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s463,plain,
    ( ~ spl0_51
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s464,plain,
    ( ~ spl0_51
    | spl0_114
    | spl0_115
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s470,plain,
    ( ~ spl0_55
    | spl0_90
    | ~ spl0_91
    | spl0_165 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s471,plain,
    ( ~ spl0_56
    | spl0_82
    | ~ spl0_83
    | spl0_174 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s472,plain,
    ( ~ spl0_56
    | spl0_90
    | ~ spl0_92
    | spl0_165 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s486,plain,
    ( ~ spl0_58
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s488,plain,
    ( ~ spl0_43
    | spl0_84
    | spl0_85
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s491,plain,
    ( ~ spl0_49
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s494,plain,
    ( ~ spl0_51
    | spl0_154
    | ~ spl0_155
    | spl0_175 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s496,plain,
    ( ~ spl0_56
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1811]) ).

cnf(s511,plain,
    ( ~ spl0_33
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s522,plain,
    ( ~ spl0_37
    | spl0_84
    | ~ spl0_86
    | spl0_159 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s526,plain,
    ( ~ spl0_44
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s528,plain,
    ( ~ spl0_58
    | spl0_114
    | spl0_115
    | spl0_161 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s529,plain,
    ( ~ spl0_58
    | spl0_102
    | spl0_103
    | spl0_162 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s536,plain,
    ( ~ spl0_56
    | spl0_115
    | ~ spl0_116
    | spl0_161 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s537,plain,
    ( ~ spl0_56
    | spl0_123
    | ~ spl0_125
    | spl0_171 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s545,plain,
    ( ~ spl0_33
    | spl0_84
    | ~ spl0_86
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s547,plain,
    ( ~ spl0_36
    | spl0_114
    | ~ spl0_116
    | spl0_161 ),
    inference(sat_conversion,[],[f1905]) ).

cnf(s549,plain,
    ( ~ spl0_37
    | spl0_99
    | ~ spl0_101
    | spl0_168 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s550,plain,
    ( ~ spl0_37
    | spl0_111
    | ~ spl0_113
    | spl0_170 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s552,plain,
    ( ~ spl0_43
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s557,plain,
    ( ~ spl0_44
    | spl0_100
    | ~ spl0_101
    | spl0_168 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s561,plain,
    ( ~ spl0_58
    | spl0_117
    | spl0_119
    | spl0_163 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s567,plain,
    ( ~ spl0_60
    | spl0_153
    | spl0_154
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2028]) ).

cnf(s571,plain,
    ( ~ spl0_61
    | spl0_118
    | spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s573,plain,
    ( ~ spl0_61
    | spl0_151
    | ~ spl0_152
    | spl0_167 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s574,plain,
    ( ~ spl0_61
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s576,plain,
    ( ~ spl0_44
    | spl0_103
    | spl0_104
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s584,plain,
    ( ~ spl0_33
    | spl0_123
    | ~ spl0_124
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s585,plain,
    ( ~ spl0_13
    | ~ spl0_29 ),
    inference(rat,[],[s421,s137,s138,s139]) ).

cnf(s586,plain,
    ( spl0_161
    | spl0_11
    | ~ spl0_35
    | ~ spl0_3 ),
    inference(rat,[],[s511,s169,s170,s171,s251,s61,s53,s528,s536,s144,s275,s141,s142,s143]) ).

cnf(s587,plain,
    ( spl0_51
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(rat,[],[s522,s545,s46,s48,s144,s275,s141,s142,s143,s526,s101,s102,s103]) ).

cnf(s588,plain,
    ( ~ spl0_8
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s28,s585,s223,s59,s252,s181,s182,s183,s34,s251,s511,s199,s169,s170,s171,s77,s78,s79,s61,s586,s528,s464,s587,s37,s526,s101,s102,s103,s144,s275,s141,s142,s143]) ).

cnf(s589,plain,
    ( spl0_6
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s28,s223,s585,s59,s528,s357,s12,s199,s77,s78,s79,s53,s496,s105,s106,s107,s13,s252,s181,s182,s183,s34,s552,s133,s134,s135,s30,s460,s121,s122,s123,s3,s144,s143,s142,s141,s588,s1]) ).

cnf(s590,plain,
    ( ~ spl0_32
    | ~ spl0_45 ),
    inference(rat,[],[s281,s125,s126,s127]) ).

cnf(s591,plain,
    ( spl0_161
    | spl0_11
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92
    | spl0_26
    | ~ spl0_3 ),
    inference(rat,[],[s450,s28,s204,s223,s585,s19,s590,s252,s181,s182,s183,s65,s567,s494,s193,s194,s195,s81,s82,s83,s60,s48,s49,s511,s423,s470,s169,s170,s171,s283,s62,s61,s54,s528,s536,s144,s275,s141,s142,s143]) ).

cnf(s592,plain,
    ( spl0_11
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92
    | spl0_26
    | ~ spl0_3 ),
    inference(rat,[],[s537,s584,s153,s154,s155,s47,s48,s54,s464,s300,s591,s144,s275,s141,s142,s143,s491]) ).

cnf(s593,plain,
    ( spl0_22
    | spl0_114
    | spl0_115
    | ~ spl0_116
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s252,s181,s182,s183,s65,s567,s494,s193,s194,s195,s223,s60,s48,s28,s511,s585,s169,s170,s171,s59,s61,s528,s536,s357,s12,s275]) ).

cnf(s594,plain,
    ( spl0_161
    | spl0_11
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s450,s204,s81,s82,s83,s20,s203,s73,s74,s75,s19,s9,s257,s250,s511,s590,s169,s170,s171,s37,s62,s61,s53,s586,s528,s536,s275,s593,s141,s142,s143,s144,s1]) ).

cnf(s595,plain,
    ( ~ spl0_52
    | ~ spl0_33 ),
    inference(rat,[],[s511,s169,s170,s171]) ).

cnf(s596,plain,
    ( ~ spl0_6
    | ~ spl0_56
    | spl0_11
    | ~ spl0_3 ),
    inference(rat,[],[s237,s472,s592,s109,s110,s111]) ).

cnf(s597,plain,
    ( spl0_11
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s496,s105,s106,s107,s13,s252,s181,s182,s183,s32,s585,s35,s453,s129,s130,s131,s27,s459,s552,s573,s133,s134,s135,s68,s30,s460,s121,s122,s123,s190,s191,s3,s589,s596,s587,s54,s464,s357,s300,s594,s144,s143,s142,s141,s1]) ).

cnf(s598,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s199,s77,s78,s79,s597,s593,s141,s142,s143,s144,s1]) ).

cnf(s599,plain,
    ( ~ spl0_14
    | ~ spl0_56 ),
    inference(rat,[],[s496,s105,s106,s107]) ).

cnf(s600,plain,
    ( spl0_11
    | spl0_50
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s46,s557,s549,s309,s13,s599,s121,s122,s123,s3,s596,s54,s116,s587,s463,s113,s114,s115]) ).

cnf(s601,plain,
    ( ~ spl0_31
    | ~ spl0_41
    | ~ spl0_29 ),
    inference(rat,[],[s288,s117,s119]) ).

cnf(s602,plain,
    ( ~ spl0_41
    | spl0_30
    | ~ spl0_29
    | ~ spl0_17 ),
    inference(rat,[],[s460,s121,s122,s123,s18,s601]) ).

cnf(s603,plain,
    ( ~ spl0_25
    | ~ spl0_24 ),
    inference(rat,[],[s181,s252,s182,s183]) ).

cnf(s604,plain,
    ( ~ spl0_53
    | ~ spl0_30 ),
    inference(rat,[],[s424,s153,s154,s155]) ).

cnf(s605,plain,
    ( ~ spl0_6
    | ~ spl0_49 ),
    inference(rat,[],[s491,s109,s110,s111]) ).

cnf(s606,plain,
    ( ~ spl0_29
    | spl0_22
    | spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s460,s121,s122,s123,s3,s605,s47,s604,s602,s32,s603,s223,s28,s585,s116,s463,s113,s114,s115]) ).

cnf(s607,plain,
    ( ~ spl0_53
    | ~ spl0_56
    | ~ spl0_33 ),
    inference(rat,[],[s537,s584,s153,s154,s155]) ).

cnf(s608,plain,
    ( ~ spl0_3
    | spl0_115
    | ~ spl0_2 ),
    inference(rat,[],[s46,s557,s549,s309,s121,s122,s123,s13,s3,s605,s47,s607,s599,s52,s606,s199,s77,s78,s79,s600,s357,s300,s547,s45,s595,s48,s275,s587,s141,s143,s116,s463,s113,s114,s115]) ).

cnf(s610,plain,
    ( ~ spl0_10
    | ~ spl0_23 ),
    inference(rat,[],[s358,s165,s166,s167]) ).

cnf(s611,plain,
    ( spl0_29
    | spl0_56
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s356,s391,s137,s138,s139,s28,s330,s189,s190,s191,s34,s603,s235,s36,s37,s249,s255,s199,s454,s77,s78,s79,s149,s150,s151,s5,s16,s25,s610,s52,s116,s598]) ).

cnf(s612,plain,
    ( ~ spl0_27
    | ~ spl0_43 ),
    inference(rat,[],[s552,s133,s134,s135]) ).

cnf(s614,plain,
    ( spl0_33
    | ~ spl0_30
    | ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s37,s251,s257,s116,s598]) ).

cnf(s615,plain,
    ( ~ spl0_8
    | ~ spl0_44 ),
    inference(rat,[],[s526,s101,s102,s103]) ).

cnf(s616,plain,
    ( ~ spl0_9
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(rat,[],[s439,s438,s150,s151]) ).

cnf(s617,plain,
    ( ~ spl0_8
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(rat,[],[s488,s408,s101,s102,s103]) ).

cnf(s618,plain,
    ( ~ spl0_43
    | ~ spl0_29
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s616,s606,s4,s617,s614,s602,s30,s612,s116,s598]) ).

cnf(s619,plain,
    ( spl0_56
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s330,s189,s190,s191,s34,s603,s223,s28,s199,s77,s78,s79,s53,s618,s585,s611,s116,s598]) ).

cnf(s620,plain,
    ( spl0_41
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s612,s30,s36,s116,s598]) ).

cnf(s621,plain,
    ( ~ spl0_43
    | ~ spl0_22
    | ~ spl0_41
    | spl0_3 ),
    inference(rat,[],[s249,s438,s149,s150,s151,s4,s617]) ).

cnf(s622,plain,
    ( ~ spl0_20
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(rat,[],[s451,s471,s98,s99]) ).

cnf(s623,plain,
    ( ~ spl0_16
    | ~ spl0_21 ),
    inference(rat,[],[s449,s81,s82,s83]) ).

cnf(s624,plain,
    ( spl0_16
    | spl0_33
    | spl0_1 ),
    inference(rat,[],[s203,s73,s74,s75,s8,s20,s116,s598]) ).

cnf(s625,plain,
    ( ~ spl0_34
    | ~ spl0_22
    | ~ spl0_41 ),
    inference(rat,[],[s220,s222,s173,s174,s175]) ).

cnf(s626,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s622,s11,s37,s623,s255,s624,s438,s616,s149,s150,s151,s4,s116,s598,s619]) ).

cnf(s627,plain,
    ( ~ spl0_22
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s393,s537,s153,s155,s47,s605,s13,s200,s450,s81,s83,s624,s545,s37,s408,s615,s101,s102,s103,s626,s116,s463,s113,s114,s115,s598,s599,s619,s620]) ).

cnf(s628,plain,
    ( spl0_33
    | ~ spl0_58
    | spl0_29
    | spl0_8
    | ~ spl0_56
    | spl0_1 ),
    inference(rat,[],[s529,s576,s125,s126,s127,s19,s257,s37,s622,s11,s623,s624,s116,s598]) ).

cnf(s629,plain,
    ( ~ spl0_7
    | ~ spl0_41 ),
    inference(rat,[],[s460,s121,s122,s123]) ).

cnf(s630,plain,
    ( spl0_8
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s607,s47,s628,s605,s59,s3,s606,s116,s463,s113,s114,s115,s598,s619,s627,s629,s620]) ).

cnf(s631,plain,
    ( ~ spl0_53
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(rat,[],[s393,s537,s153,s155]) ).

cnf(s632,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s322,s391,s137,s138,s139,s28,s330,s189,s190,s191,s34,s603,s13,s605,s47,s631,s37,s617,s615,s630,s627,s620,s599,s619,s116,s463,s113,s114,s115,s598]) ).

cnf(s633,plain,
    spl0_1,
    inference(rat,[],[s608,s142,s632,s598]) ).

cnf(s634,plain,
    spl0_17,
    inference(rat,[],[s148,s633]) ).

cnf(s635,plain,
    ~ spl0_119,
    inference(rat,[],[s147,s633]) ).

cnf(s636,plain,
    ~ spl0_118,
    inference(rat,[],[s146,s633]) ).

cnf(s637,plain,
    ~ spl0_117,
    inference(rat,[],[s145,s633]) ).

cnf(s638,plain,
    ( ~ spl0_51
    | spl0_56
    | ~ spl0_3 ),
    inference(rat,[],[s62,s280,s528,s428,s464,s142,s141,s634,s636,s637,s635]) ).

cnf(s639,plain,
    ( ~ spl0_11
    | ~ spl0_22 ),
    inference(rat,[],[s199,s77,s78,s79]) ).

cnf(s640,plain,
    ( spl0_56
    | spl0_11
    | ~ spl0_3 ),
    inference(rat,[],[s45,s547,s595,s300,s48,s54,s638,s275,s141,s142,s143,s634]) ).

cnf(s641,plain,
    ( ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s571,s561,s68,s61,s629,s595,s3,s48,s587,s464,s357,s596,s536,s640,s639,s593,s275,s141,s142,s143,s635,s636,s637,s634]) ).

cnf(s642,plain,
    ( spl0_163
    | spl0_56 ),
    inference(rat,[],[s62,s561,s280,s634,s635,s637,s636]) ).

cnf(s643,plain,
    ( ~ spl0_22
    | spl0_56
    | spl0_3 ),
    inference(rat,[],[s68,s621,s610,s53,s5,s639,s571,s642,s634,s636,s635]) ).

cnf(s644,plain,
    ( spl0_56
    | spl0_2 ),
    inference(rat,[],[s255,s454,s46,s149,s150,s151,s550,s16,s356,s25,s585,s137,s138,s139,s610,s28,s12,s643,s428,s333,s642,s641,s634,s635,s637,s636]) ).

cnf(s645,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_2 ),
    inference(rat,[],[s11,s622,s623,s43,s20,s283,s237,s472,s109,s110,s111,s3,s625,s629,s36,s249,s438,s616,s149,s150,s151,s4,s641,s644,s634]) ).

cnf(s646,plain,
    ( ~ spl0_42
    | ~ spl0_61 ),
    inference(rat,[],[s574,s193,s194,s195]) ).

cnf(s647,plain,
    ( ~ spl0_61
    | ~ spl0_22 ),
    inference(rat,[],[s383,s382,s85,s87,s58,s595,s60,s646,s561,s571,s634,s635,s637,s636]) ).

cnf(s648,plain,
    ( ~ spl0_22
    | spl0_2 ),
    inference(rat,[],[s456,s494,s193,s194,s195,s47,s60,s631,s486,s43,s177,s178,s179,s283,s42,s472,s605,s109,s111,s13,s35,s200,s204,s450,s545,s81,s82,s83,s408,s625,s621,s69,s68,s647,s615,s101,s102,s103,s645,s610,s5,s639,s641,s599,s644,s634]) ).

cnf(s649,plain,
    ( ~ spl0_9
    | ~ spl0_43
    | ~ spl0_38 ),
    inference(rat,[],[s249,s454,s149,s150]) ).

cnf(s650,plain,
    ( spl0_41
    | spl0_2 ),
    inference(rat,[],[s223,s603,s28,s32,s585,s16,s649,s36,s25,s610,s12,s648,s641,s634]) ).

cnf(s651,plain,
    ( spl0_8
    | spl0_2 ),
    inference(rat,[],[s59,s585,s486,s28,s177,s178,s179,s330,s42,s189,s190,s191,s255,s34,s454,s605,s649,s149,s150,s151,s3,s4,s25,s610,s641,s629,s603,s235,s650,s12,s648,s634]) ).

cnf(s652,plain,
    ( spl0_22
    | spl0_2 ),
    inference(rat,[],[s550,s356,s46,s137,s138,s139,s272,s28,s461,s330,s189,s190,s191,s34,s617,s615,s651,s603,s235,s650,s12,s634]) ).

cnf(s653,plain,
    spl0_2,
    inference(rat,[],[s652,s648]) ).

cnf(s654,plain,
    spl0_95,
    inference(rat,[],[s115,s653]) ).

cnf(s655,plain,
    ~ spl0_94,
    inference(rat,[],[s114,s653]) ).

cnf(s656,plain,
    ~ spl0_93,
    inference(rat,[],[s113,s653]) ).

cnf(s657,plain,
    ~ spl0_51,
    inference(rat,[],[s463,s654,s655,s656]) ).

cnf(s658,plain,
    ~ spl0_3,
    inference(rat,[],[s608,s142,s653]) ).

cnf(s659,plain,
    ( ~ spl0_6
    | ~ spl0_22 ),
    inference(rat,[],[s43,s631,s283,s47,s472,s605,s109,s111,s643,s625,s68,s610,s5,s639,s647,s634,s657,s658]) ).

cnf(s660,plain,
    ~ spl0_22,
    inference(rat,[],[s200,s450,s81,s83,s69,s615,s3,s13,s659,s629,s68,s610,s599,s5,s647,s643,s639,s634,s658]) ).

cnf(s661,plain,
    ( ~ spl0_163
    | spl0_41 ),
    inference(rat,[],[s649,s25,s16,s610,s585,s68,s28,s571,s333,s36,s634,s658,s660,s635,s636,s637]) ).

cnf(s662,plain,
    spl0_41,
    inference(rat,[],[s223,s603,s28,s32,s585,s59,s561,s661,s634,s660,s635,s637]) ).

cnf(s663,plain,
    ~ spl0_7,
    inference(rat,[],[s629,s662]) ).

cnf(s664,plain,
    spl0_56,
    inference(rat,[],[s255,s454,s46,s149,s150,s151,s550,s16,s25,s356,s610,s52,s585,s137,s138,s139,s28,s333,s642,s634,s657,s658,s660,s636,s637]) ).

cnf(s665,plain,
    ~ spl0_14,
    inference(rat,[],[s599,s664]) ).

cnf(s666,plain,
    spl0_8,
    inference(rat,[],[s529,s411,s125,s126,s127,s19,s604,s47,s605,s59,s3,s606,s662,s634,s657,s660,s663,s653]) ).

cnf(s670,plain,
    ~ spl0_44,
    inference(rat,[],[s615,s666]) ).

cnf(s671,plain,
    ~ spl0_43,
    inference(rat,[],[s617,s662,s666]) ).

cnf(s673,plain,
    spl0_37,
    inference(rat,[],[s46,s657,s634,s670]) ).

cnf(s677,plain,
    ~ spl0_58,
    inference(rat,[],[s486,s177,s178,s179,s42,s605,s13,s322,s550,s137,s139,s28,s333,s561,s634,s670,s665,s673,s660,s636,s637,s635]) ).

cnf(s678,plain,
    spl0_29,
    inference(rat,[],[s59,s634,s660,s677]) ).

cnf(s680,plain,
    ~ spl0_13,
    inference(rat,[],[s585,s678]) ).

cnf(s687,plain,
    spl0_40,
    inference(rat,[],[s28,s660,s634,s680]) ).

cnf(s690,plain,
    spl0_24,
    inference(rat,[],[s223,s678,s687]) ).

cnf(s697,plain,
    ~ spl0_25,
    inference(rat,[],[s603,s690]) ).

cnf(s701,plain,
    spl0_4,
    inference(rat,[],[s34,s671,s634,s697]) ).

cnf(s706,plain,
    spl0_152,
    inference(rat,[],[s191,s701]) ).

cnf(s707,plain,
    ~ spl0_151,
    inference(rat,[],[s190,s701]) ).

cnf(s708,plain,
    ~ spl0_150,
    inference(rat,[],[s189,s701]) ).

cnf(s717,plain,
    $false,
    inference(rat,[],[s330,s706,s687,s707,s708]) ).

fof(f2091,plain,
    $false,
    inference(avatar_sat_refutation,[],[s717]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN472+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19  % Computer : n001.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Mon Sep 28 16:17:01 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22  Running first-order theorem proving
% 0.11/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/1.15  % (463236)Detected formulas, will run a generic FOF schedule.
% 3.30/1.15  % (463245)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3316223810:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.15  % (463245)Instruction limit reached! 
% 3.30/1.15  % (463245)------------------------------
% 3.30/1.15  % (463245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.15  % (463245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.15  % (463245)CaDiCaL version: 2.1.3
% 3.30/1.15  % (463245)Termination reason: Instruction limit
% 3.30/1.15  % (463245)Termination phase: Saturation
% 3.30/1.15  % (463245)Time elapsed: 0.031 s
% 3.30/1.15  % (463245)Peak memory usage: 88 MB
% 3.30/1.15  % (463245)Instructions burned: 119 (million)
% 3.30/1.15  % (463246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2343441626:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.15  % (463241)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=1851163629:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.15  % (463244)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3595752157:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.15  % (463242)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=824358854:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.15  % (463243)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=4117648823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.15  % (463247)dis-21_1_sil=8000:lcm=predicate:random_seed=628367718: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)
% 3.30/1.15  % (463247)First to succeed.
% 3.30/1.15  % (463247)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-463236"
% 3.30/1.15  % (463246)Also succeeded, but the first one will report.
% 3.30/1.15  % (463244)Instruction limit reached! 
% 3.30/1.15  % (463244)------------------------------
% 3.30/1.15  % (463244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.15  % (463244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.15  % (463244)CaDiCaL version: 2.1.3
% 3.30/1.15  % (463244)Termination reason: Instruction limit
% 3.30/1.15  % (463244)Termination phase: Saturation
% 3.30/1.15  % (463244)Time elapsed: 0.073 s
% 3.30/1.15  % (463244)Peak memory usage: 89 MB
% 3.30/1.15  % (463244)Instructions burned: 109 (million)
% 3.30/1.15  % (463249)lrs+10_1_sil=8000:sp=occurrence:random_seed=480323336:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.30/1.15  % (463249)Also succeeded, but the first one will report.
% 3.30/1.15  % (463256)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4004326964:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.30/1.15  % (463247)Refutation found. Thanks to Tanya!
% 3.30/1.15  % SZS status Theorem for theBenchmark
% 3.30/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.35  % (463247)------------------------------
% 4.03/1.35  % (463247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.35  % (463247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.35  % (463247)CaDiCaL version: 2.1.3
% 4.03/1.35  % (463247)Termination reason: Refutation
% 4.03/1.35  % (463247)Time elapsed: 0.038 s
% 4.03/1.35  % (463247)Peak memory usage: 90 MB
% 4.03/1.35  % (463247)Instructions burned: 61 (million)
% 4.03/1.35  % (463247)------------------------------
% 4.03/1.35  % (463247)------------------------------
% 4.03/1.35  % (463236)Success in time 0.481 s
% 4.03/1.35  % Vampire exiting
%------------------------------------------------------------------------------