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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN511+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 : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:00:24 PM UTC 2026

% Result   : Theorem 1.53s 1.16s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a668)
          & ~ c2_1(a668)
          & ~ c3_1(a668) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a669)
          & ~ c1_1(a669)
          & ~ c2_1(a669) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a670)
          & ~ c0_1(a670)
          & ~ c1_1(a670) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a671)
          & ~ c0_1(a671)
          & ~ c1_1(a671) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a672)
          & ~ c1_1(a672)
          & ~ c2_1(a672) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a673)
          & ~ c2_1(a673)
          & ~ c3_1(a673) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a674)
          & c3_1(a674)
          & ~ c1_1(a674) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a675)
          & c3_1(a675)
          & ~ c2_1(a675) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a679)
          & c3_1(a679)
          & ~ c0_1(a679) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a680)
          & ~ c1_1(a680)
          & ~ c3_1(a680) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a681)
          & c3_1(a681)
          & ~ c0_1(a681) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a683)
          & c3_1(a683)
          & ~ c2_1(a683) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a684)
          & ~ c0_1(a684)
          & ~ c2_1(a684) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a688)
          & c1_1(a688)
          & ~ c3_1(a688) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a696)
          & c2_1(a696)
          & ~ c3_1(a696) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a700)
          & ~ c0_1(a700)
          & ~ c3_1(a700) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a702)
          & c3_1(a702)
          & ~ c1_1(a702) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a703)
          & ~ c0_1(a703)
          & ~ c2_1(a703) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a708)
          & ~ c1_1(a708)
          & ~ c2_1(a708) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a710)
          & c2_1(a710)
          & ~ c0_1(a710) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a711)
          & c1_1(a711)
          & ~ c2_1(a711) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a715)
          & ~ c2_1(a715)
          & ~ c3_1(a715) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a716)
          & c2_1(a716)
          & ~ c3_1(a716) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a730)
          & c2_1(a730)
          & ~ c1_1(a730) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a731)
          & ~ c1_1(a731)
          & ~ c3_1(a731) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a760)
          & ~ c1_1(a760)
          & ~ c3_1(a760) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a762)
          & ~ c0_1(a762)
          & ~ c3_1(a762) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a676)
          & c1_1(a676)
          & c2_1(a676) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a678)
          & c1_1(a678)
          & c3_1(a678) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a725)
          & c2_1(a725)
          & c3_1(a725) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a753)
          & c2_1(a753)
          & c3_1(a753) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | ~ c0_1(X1)
              | ~ c1_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | hskp1
        | hskp2 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp3
        | hskp4 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) )
        | hskp5 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | hskp6
        | hskp7 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | ~ c1_1(X8) ) )
        | hskp27 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c2_1(X10)
              | ~ c3_1(X10) ) )
        | hskp5 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c3_1(X12)
              | ~ c0_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | ~ c1_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | hskp28 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp8
        | hskp9 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp10
        | hskp2 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c0_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp11 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) )
        | hskp12 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | hskp6 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp28
        | hskp7 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp13
        | hskp9 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | ~ c2_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | hskp7 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | ~ c3_1(X44) ) )
        | hskp0 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c0_1(X46)
              | ~ c3_1(X46) ) )
        | hskp8 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c2_1(X51)
              | ~ c0_1(X51)
              | ~ c3_1(X51) ) )
        | hskp12 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c1_1(X53)
              | ~ c2_1(X53) ) )
        | hskp4 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | c3_1(X58)
              | ~ c1_1(X58) ) )
        | hskp10 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | hskp14
        | hskp1 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp27 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c3_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c0_1(X71)
              | ~ c1_1(X71) ) )
        | hskp10 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c1_1(X73)
              | ~ c3_1(X73) ) )
        | hskp15 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) )
        | hskp3 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp16 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | hskp17 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c0_1(X80)
              | ~ c1_1(X80)
              | ~ c3_1(X80) ) )
        | hskp6
        | hskp4 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | hskp11
        | hskp16 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp18 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c3_1(X85) ) )
        | hskp6 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c2_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp19 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c2_1(X88)
              | ~ c0_1(X88) ) )
        | hskp20
        | hskp13 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | ~ c0_1(X89) ) )
        | hskp1
        | hskp15 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | hskp21
        | hskp22 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c2_1(X91)
              | ~ c0_1(X91) ) )
        | hskp9
        | hskp2 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c1_1(X93)
              | ~ c2_1(X93) ) )
        | hskp10 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c2_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp16 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c2_1(X96)
              | ~ c3_1(X96) ) )
        | hskp20
        | hskp0 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | c3_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c3_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | c3_1(X103)
              | ~ c0_1(X103) ) )
        | hskp20
        | hskp19 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | hskp29
        | hskp15 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | c3_1(X105)
              | ~ c2_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) )
        | hskp13 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | c3_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c3_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c0_1(X109)
              | ~ c2_1(X109) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c1_1(X110)
              | c3_1(X110)
              | ~ c2_1(X110) ) )
        | hskp27
        | hskp1 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c1_1(X111)
              | ~ c0_1(X111)
              | ~ c2_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( c1_1(X112)
              | ~ c2_1(X112)
              | ~ c3_1(X112) ) )
        | hskp23 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c1_1(X113)
              | ~ c0_1(X113)
              | ~ c2_1(X113) ) )
        | hskp24
        | hskp19 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | c3_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp5 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c3_1(X116) ) )
        | hskp15
        | hskp4 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c2_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | hskp28
        | hskp10 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c2_1(X118)
              | ~ c1_1(X118)
              | ~ c3_1(X118) ) )
        | hskp14
        | hskp17 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c0_1(X119)
              | ~ c1_1(X119) ) )
        | hskp14
        | hskp24 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c2_1(X121)
              | ~ c3_1(X121) ) )
        | hskp21 )
      & ( ! [X122] :
            ( ndr1_0
           => ( c3_1(X122)
              | ~ c1_1(X122)
              | ~ c2_1(X122) ) )
        | hskp1
        | hskp21 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) )
        | hskp9
        | hskp5 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) ) )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp23
        | hskp16 )
      & ( hskp27
        | hskp24
        | hskp18 )
      & ( hskp28
        | hskp30
        | hskp11 )
      & ( hskp28
        | hskp19
        | hskp9 )
      & ( hskp13
        | hskp12
        | hskp25 )
      & ( hskp30
        | hskp26
        | hskp12 )
      & ( hskp11
        | hskp21
        | hskp2 )
      & ( hskp24
        | hskp18
        | hskp4 )
      & ( hskp29
        | hskp0
        | hskp16 )
      & ( hskp22
        | hskp8
        | hskp0 )
      & ( hskp7
        | hskp25
        | hskp5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a668)
            & ~ c2_1(a668)
            & ~ c3_1(a668) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a669)
            & ~ c1_1(a669)
            & ~ c2_1(a669) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a670)
            & ~ c0_1(a670)
            & ~ c1_1(a670) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a671)
            & ~ c0_1(a671)
            & ~ c1_1(a671) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a672)
            & ~ c1_1(a672)
            & ~ c2_1(a672) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a673)
            & ~ c2_1(a673)
            & ~ c3_1(a673) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a674)
            & c3_1(a674)
            & ~ c1_1(a674) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a675)
            & c3_1(a675)
            & ~ c2_1(a675) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a679)
            & c3_1(a679)
            & ~ c0_1(a679) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a680)
            & ~ c1_1(a680)
            & ~ c3_1(a680) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a681)
            & c3_1(a681)
            & ~ c0_1(a681) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a683)
            & c3_1(a683)
            & ~ c2_1(a683) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a684)
            & ~ c0_1(a684)
            & ~ c2_1(a684) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a688)
            & c1_1(a688)
            & ~ c3_1(a688) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a696)
            & c2_1(a696)
            & ~ c3_1(a696) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a700)
            & ~ c0_1(a700)
            & ~ c3_1(a700) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a702)
            & c3_1(a702)
            & ~ c1_1(a702) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a703)
            & ~ c0_1(a703)
            & ~ c2_1(a703) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a708)
            & ~ c1_1(a708)
            & ~ c2_1(a708) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a710)
            & c2_1(a710)
            & ~ c0_1(a710) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a711)
            & c1_1(a711)
            & ~ c2_1(a711) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a715)
            & ~ c2_1(a715)
            & ~ c3_1(a715) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a716)
            & c2_1(a716)
            & ~ c3_1(a716) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a730)
            & c2_1(a730)
            & ~ c1_1(a730) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a731)
            & ~ c1_1(a731)
            & ~ c3_1(a731) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a760)
            & ~ c1_1(a760)
            & ~ c3_1(a760) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a762)
            & ~ c0_1(a762)
            & ~ c3_1(a762) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a676)
            & c1_1(a676)
            & c2_1(a676) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a678)
            & c1_1(a678)
            & c3_1(a678) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a725)
            & c2_1(a725)
            & c3_1(a725) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a753)
            & c2_1(a753)
            & c3_1(a753) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | ~ c0_1(X1)
                | ~ c1_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | hskp1
          | hskp2 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp3
          | hskp4 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) )
          | hskp5 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | hskp6
          | hskp7 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp27 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp5 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c3_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c1_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | hskp28 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp8
          | hskp9 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp10
          | hskp2 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c0_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp11 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) )
          | hskp12 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | hskp6 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp28
          | hskp7 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp13
          | hskp9 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp7 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | ~ c3_1(X44) ) )
          | hskp0 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c0_1(X46)
                | ~ c3_1(X46) ) )
          | hskp8 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c2_1(X51)
                | ~ c0_1(X51)
                | ~ c3_1(X51) ) )
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c1_1(X53)
                | ~ c2_1(X53) ) )
          | hskp4 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | c3_1(X58)
                | ~ c1_1(X58) ) )
          | hskp10 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp14
          | hskp1 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp27 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c3_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) )
          | hskp10 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | ~ c3_1(X73) ) )
          | hskp15 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) )
          | hskp3 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp16 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | hskp17 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c1_1(X80)
                | ~ c3_1(X80) ) )
          | hskp6
          | hskp4 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | hskp11
          | hskp16 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp18 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c3_1(X85) ) )
          | hskp6 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c2_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp19 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c2_1(X88)
                | ~ c0_1(X88) ) )
          | hskp20
          | hskp13 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | ~ c0_1(X89) ) )
          | hskp1
          | hskp15 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | hskp21
          | hskp22 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c2_1(X91)
                | ~ c0_1(X91) ) )
          | hskp9
          | hskp2 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c1_1(X93)
                | ~ c2_1(X93) ) )
          | hskp10 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c2_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp16 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c2_1(X96)
                | ~ c3_1(X96) ) )
          | hskp20
          | hskp0 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c3_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | c3_1(X103)
                | ~ c0_1(X103) ) )
          | hskp20
          | hskp19 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | hskp29
          | hskp15 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | c3_1(X105)
                | ~ c2_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp13 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | c3_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c1_1(X110)
                | c3_1(X110)
                | ~ c2_1(X110) ) )
          | hskp27
          | hskp1 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c1_1(X111)
                | ~ c0_1(X111)
                | ~ c2_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c1_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp23 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c1_1(X113)
                | ~ c0_1(X113)
                | ~ c2_1(X113) ) )
          | hskp24
          | hskp19 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c3_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp5 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c3_1(X116) ) )
          | hskp15
          | hskp4 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp28
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | hskp14
          | hskp17 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c1_1(X119) ) )
          | hskp14
          | hskp24 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c2_1(X121)
                | ~ c3_1(X121) ) )
          | hskp21 )
        & ( ! [X122] :
              ( ndr1_0
             => ( c3_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp1
          | hskp21 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) )
          | hskp9
          | hskp5 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) ) )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp23
          | hskp16 )
        & ( hskp27
          | hskp24
          | hskp18 )
        & ( hskp28
          | hskp30
          | hskp11 )
        & ( hskp28
          | hskp19
          | hskp9 )
        & ( hskp13
          | hskp12
          | hskp25 )
        & ( hskp30
          | hskp26
          | hskp12 )
        & ( hskp11
          | hskp21
          | hskp2 )
        & ( hskp24
          | hskp18
          | hskp4 )
        & ( hskp29
          | hskp0
          | hskp16 )
        & ( hskp22
          | hskp8
          | hskp0 )
        & ( hskp7
          | hskp25
          | hskp5 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a668)
        & ~ c2_1(a668)
        & ~ c3_1(a668) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a669)
        & ~ c1_1(a669)
        & ~ c2_1(a669) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a671)
        & ~ c0_1(a671)
        & ~ c1_1(a671) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c1_1(a672)
        & ~ c2_1(a672) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a673)
        & ~ c2_1(a673)
        & ~ c3_1(a673) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a674)
        & c3_1(a674)
        & ~ c1_1(a674) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a675)
        & c3_1(a675)
        & ~ c2_1(a675) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a679)
        & c3_1(a679)
        & ~ c0_1(a679) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a680)
        & ~ c1_1(a680)
        & ~ c3_1(a680) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a681)
        & c3_1(a681)
        & ~ c0_1(a681) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a683)
        & c3_1(a683)
        & ~ c2_1(a683) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a684)
        & ~ c0_1(a684)
        & ~ c2_1(a684) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a688)
        & c1_1(a688)
        & ~ c3_1(a688) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a696)
        & c2_1(a696)
        & ~ c3_1(a696) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a700)
        & ~ c0_1(a700)
        & ~ c3_1(a700) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a702)
        & c3_1(a702)
        & ~ c1_1(a702) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a703)
        & ~ c0_1(a703)
        & ~ c2_1(a703) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a708)
        & ~ c1_1(a708)
        & ~ c2_1(a708) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a710)
        & c2_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a711)
        & c1_1(a711)
        & ~ c2_1(a711) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a715)
        & ~ c2_1(a715)
        & ~ c3_1(a715) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a730)
        & c2_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a731)
        & ~ c1_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a760)
        & ~ c1_1(a760)
        & ~ c3_1(a760) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a762)
        & ~ c0_1(a762)
        & ~ c3_1(a762) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & c2_1(a676) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a678)
        & c1_1(a678)
        & c3_1(a678) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a725)
        & c2_1(a725)
        & c3_1(a725) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a753)
        & c2_1(a753)
        & c3_1(a753) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c2_1(X1)
            | ~ c0_1(X1)
            | ~ c1_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c3_1(X5)
            | ~ c2_1(X5) ) )
      | hskp5 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | hskp6
      | hskp7 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c2_1(X8)
            | ~ c1_1(X8) ) )
      | hskp27 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c2_1(X10)
            | ~ c3_1(X10) ) )
      | hskp5 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c3_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | ~ c1_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | hskp28 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | hskp8
      | hskp9 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | hskp10
      | hskp2 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | ~ c0_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp11 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) )
      | hskp12 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | ~ c1_1(X29) ) )
      | hskp6 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp28
      | hskp7 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp13
      | hskp9 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | ~ c0_1(X37)
            | ~ c2_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp7 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c1_1(X44)
            | ~ c3_1(X44) ) )
      | hskp0 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c0_1(X46)
            | ~ c3_1(X46) ) )
      | hskp8 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c2_1(X51)
            | ~ c0_1(X51)
            | ~ c3_1(X51) ) )
      | hskp12 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c1_1(X53)
            | ~ c2_1(X53) ) )
      | hskp4 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | c3_1(X58)
            | ~ c1_1(X58) ) )
      | hskp10 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp14
      | hskp1 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c1_1(X63)
            | ~ c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp27 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c3_1(X66) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c1_1(X67)
            | ~ c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | c3_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c0_1(X71)
            | ~ c1_1(X71) ) )
      | hskp10 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | ~ c3_1(X73) ) )
      | hskp15 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) )
      | hskp3 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp16 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c1_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) )
      | hskp17 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | ~ c1_1(X80)
            | ~ c3_1(X80) ) )
      | hskp6
      | hskp4 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | hskp11
      | hskp16 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp18 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c3_1(X85) ) )
      | hskp6 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c2_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp19 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c2_1(X88)
            | ~ c0_1(X88) ) )
      | hskp20
      | hskp13 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c2_1(X89)
            | ~ c0_1(X89) ) )
      | hskp1
      | hskp15 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c2_1(X90)
            | ~ c0_1(X90) ) )
      | hskp21
      | hskp22 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c2_1(X91)
            | ~ c0_1(X91) ) )
      | hskp9
      | hskp2 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c2_1(X92)
            | ~ c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c1_1(X93)
            | ~ c2_1(X93) ) )
      | hskp10 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c2_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c1_1(X95)
            | ~ c3_1(X95) ) )
      | hskp16 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c2_1(X96)
            | ~ c3_1(X96) ) )
      | hskp20
      | hskp0 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | c3_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c3_1(X98)
            | ~ c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( c1_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | c3_1(X103)
            | ~ c0_1(X103) ) )
      | hskp20
      | hskp19 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | hskp29
      | hskp15 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | c3_1(X105)
            | ~ c2_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | ~ c2_1(X106)
            | ~ c3_1(X106) ) )
      | hskp13 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | c3_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c0_1(X109)
            | ~ c2_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( c1_1(X110)
            | c3_1(X110)
            | ~ c2_1(X110) ) )
      | hskp27
      | hskp1 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c1_1(X111)
            | ~ c0_1(X111)
            | ~ c2_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c1_1(X112)
            | ~ c2_1(X112)
            | ~ c3_1(X112) ) )
      | hskp23 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c1_1(X113)
            | ~ c0_1(X113)
            | ~ c2_1(X113) ) )
      | hskp24
      | hskp19 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c3_1(X114)
            | ~ c1_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c2_1(X115)
            | ~ c3_1(X115) ) )
      | hskp5 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c0_1(X116)
            | ~ c3_1(X116) ) )
      | hskp15
      | hskp4 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | ~ c1_1(X117)
            | ~ c3_1(X117) ) )
      | hskp28
      | hskp10 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | ~ c1_1(X118)
            | ~ c3_1(X118) ) )
      | hskp14
      | hskp17 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c0_1(X119)
            | ~ c1_1(X119) ) )
      | hskp14
      | hskp24 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c2_1(X121)
            | ~ c3_1(X121) ) )
      | hskp21 )
    & ( ! [X122] :
          ( ndr1_0
         => ( c3_1(X122)
            | ~ c1_1(X122)
            | ~ c2_1(X122) ) )
      | hskp1
      | hskp21 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c2_1(X123) ) )
      | hskp9
      | hskp5 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) ) )
    & ( ! [X126] :
          ( ndr1_0
         => ( ~ c1_1(X126)
            | ~ c2_1(X126)
            | ~ c3_1(X126) ) )
      | hskp23
      | hskp16 )
    & ( hskp27
      | hskp24
      | hskp18 )
    & ( hskp28
      | hskp30
      | hskp11 )
    & ( hskp28
      | hskp19
      | hskp9 )
    & ( hskp13
      | hskp12
      | hskp25 )
    & ( hskp30
      | hskp26
      | hskp12 )
    & ( hskp11
      | hskp21
      | hskp2 )
    & ( hskp24
      | hskp18
      | hskp4 )
    & ( hskp29
      | hskp0
      | hskp16 )
    & ( hskp22
      | hskp8
      | hskp0 )
    & ( hskp7
      | hskp25
      | hskp5 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a668)
        & ~ c2_1(a668)
        & ~ c3_1(a668) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a669)
        & ~ c1_1(a669)
        & ~ c2_1(a669) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a671)
        & ~ c0_1(a671)
        & ~ c1_1(a671) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c1_1(a672)
        & ~ c2_1(a672) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a673)
        & ~ c2_1(a673)
        & ~ c3_1(a673) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a674)
        & c3_1(a674)
        & ~ c1_1(a674) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a675)
        & c3_1(a675)
        & ~ c2_1(a675) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a679)
        & c3_1(a679)
        & ~ c0_1(a679) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a680)
        & ~ c1_1(a680)
        & ~ c3_1(a680) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a681)
        & c3_1(a681)
        & ~ c0_1(a681) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a683)
        & c3_1(a683)
        & ~ c2_1(a683) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a684)
        & ~ c0_1(a684)
        & ~ c2_1(a684) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a688)
        & c1_1(a688)
        & ~ c3_1(a688) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a696)
        & c2_1(a696)
        & ~ c3_1(a696) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a700)
        & ~ c0_1(a700)
        & ~ c3_1(a700) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a702)
        & c3_1(a702)
        & ~ c1_1(a702) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a703)
        & ~ c0_1(a703)
        & ~ c2_1(a703) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a708)
        & ~ c1_1(a708)
        & ~ c2_1(a708) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a710)
        & c2_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a711)
        & c1_1(a711)
        & ~ c2_1(a711) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a715)
        & ~ c2_1(a715)
        & ~ c3_1(a715) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a730)
        & c2_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a731)
        & ~ c1_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a760)
        & ~ c1_1(a760)
        & ~ c3_1(a760) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a762)
        & ~ c0_1(a762)
        & ~ c3_1(a762) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & c2_1(a676) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a678)
        & c1_1(a678)
        & c3_1(a678) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a725)
        & c2_1(a725)
        & c3_1(a725) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a753)
        & c2_1(a753)
        & c3_1(a753) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c2_1(X1)
          | ~ c0_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c3_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp10
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c0_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp13
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp11
      | hskp16 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp20
      | hskp13 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp1
      | hskp15 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp20
      | hskp0 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c1_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( c1_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | hskp20
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | hskp29
      | hskp15 )
    & ( ! [X105] :
          ( c1_1(X105)
          | c3_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c1_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X107] :
          ( c1_1(X107)
          | c3_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c1_1(X110)
          | c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X111] :
          ( c1_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X113] :
          ( c1_1(X113)
          | ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp24
      | hskp19 )
    & ( ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp4 )
    & ( ! [X117] :
          ( c2_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp28
      | hskp10 )
    & ( ! [X118] :
          ( c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | hskp14
      | hskp24 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X122] :
          ( c3_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp1
      | hskp21 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | hskp9
      | hskp5 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 ) )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp23
      | hskp16 )
    & ( hskp27
      | hskp24
      | hskp18 )
    & ( hskp28
      | hskp30
      | hskp11 )
    & ( hskp28
      | hskp19
      | hskp9 )
    & ( hskp13
      | hskp12
      | hskp25 )
    & ( hskp30
      | hskp26
      | hskp12 )
    & ( hskp11
      | hskp21
      | hskp2 )
    & ( hskp24
      | hskp18
      | hskp4 )
    & ( hskp29
      | hskp0
      | hskp16 )
    & ( hskp22
      | hskp8
      | hskp0 )
    & ( hskp7
      | hskp25
      | hskp5 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a668)
        & ~ c2_1(a668)
        & ~ c3_1(a668) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a669)
        & ~ c1_1(a669)
        & ~ c2_1(a669) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a671)
        & ~ c0_1(a671)
        & ~ c1_1(a671) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a672)
        & ~ c1_1(a672)
        & ~ c2_1(a672) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a673)
        & ~ c2_1(a673)
        & ~ c3_1(a673) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a674)
        & c3_1(a674)
        & ~ c1_1(a674) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a675)
        & c3_1(a675)
        & ~ c2_1(a675) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a679)
        & c3_1(a679)
        & ~ c0_1(a679) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a680)
        & ~ c1_1(a680)
        & ~ c3_1(a680) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c2_1(a681)
        & c3_1(a681)
        & ~ c0_1(a681) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a683)
        & c3_1(a683)
        & ~ c2_1(a683) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a684)
        & ~ c0_1(a684)
        & ~ c2_1(a684) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a688)
        & c1_1(a688)
        & ~ c3_1(a688) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a696)
        & c2_1(a696)
        & ~ c3_1(a696) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a700)
        & ~ c0_1(a700)
        & ~ c3_1(a700) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a702)
        & c3_1(a702)
        & ~ c1_1(a702) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a703)
        & ~ c0_1(a703)
        & ~ c2_1(a703) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a708)
        & ~ c1_1(a708)
        & ~ c2_1(a708) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a710)
        & c2_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a711)
        & c1_1(a711)
        & ~ c2_1(a711) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a715)
        & ~ c2_1(a715)
        & ~ c3_1(a715) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a730)
        & c2_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a731)
        & ~ c1_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a760)
        & ~ c1_1(a760)
        & ~ c3_1(a760) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a762)
        & ~ c0_1(a762)
        & ~ c3_1(a762) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & c2_1(a676) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a678)
        & c1_1(a678)
        & c3_1(a678) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a725)
        & c2_1(a725)
        & c3_1(a725) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a753)
        & c2_1(a753)
        & c3_1(a753) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c2_1(X1)
          | ~ c0_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c3_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp10
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c0_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp13
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 ) )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c2_1(X51)
          | ~ c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp14
      | hskp1 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 ) )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp11
      | hskp16 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c2_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | hskp20
      | hskp13 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp1
      | hskp15 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X91] :
          ( c1_1(X91)
          | c2_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp20
      | hskp0 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( c1_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( c1_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | hskp20
      | hskp19 )
    & ( ! [X104] :
          ( c1_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | hskp29
      | hskp15 )
    & ( ! [X105] :
          ( c1_1(X105)
          | c3_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c1_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X107] :
          ( c1_1(X107)
          | c3_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c1_1(X110)
          | c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X111] :
          ( c1_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c1_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X113] :
          ( c1_1(X113)
          | ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | hskp24
      | hskp19 )
    & ( ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp15
      | hskp4 )
    & ( ! [X117] :
          ( c2_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp28
      | hskp10 )
    & ( ! [X118] :
          ( c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c1_1(X119)
          | ~ ndr1_0 )
      | hskp14
      | hskp24 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X122] :
          ( c3_1(X122)
          | ~ c1_1(X122)
          | ~ c2_1(X122)
          | ~ ndr1_0 )
      | hskp1
      | hskp21 )
    & ( ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 )
      | hskp9
      | hskp5 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 ) )
    & ( ! [X126] :
          ( ~ c1_1(X126)
          | ~ c2_1(X126)
          | ~ c3_1(X126)
          | ~ ndr1_0 )
      | hskp23
      | hskp16 )
    & ( hskp27
      | hskp24
      | hskp18 )
    & ( hskp28
      | hskp30
      | hskp11 )
    & ( hskp28
      | hskp19
      | hskp9 )
    & ( hskp13
      | hskp12
      | hskp25 )
    & ( hskp30
      | hskp26
      | hskp12 )
    & ( hskp11
      | hskp21
      | hskp2 )
    & ( hskp24
      | hskp18
      | hskp4 )
    & ( hskp29
      | hskp0
      | hskp16 )
    & ( hskp22
      | hskp8
      | hskp0 )
    & ( hskp7
      | hskp25
      | hskp5 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp7
    | hskp25
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp22
    | hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp29
    | hskp0
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp30
    | hskp26
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp28
    | hskp19
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp28
    | hskp30
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X126] :
      ( ~ c1_1(X126)
      | ~ c2_1(X126)
      | ~ c3_1(X126)
      | ~ ndr1_0
      | hskp23
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X124,X125] :
      ( ~ c0_1(X124)
      | ~ c2_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X123] :
      ( ~ c0_1(X123)
      | ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ ndr1_0
      | hskp9
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X120,X121] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | ~ c0_1(X121)
      | ~ c2_1(X121)
      | ~ c3_1(X121)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X119] :
      ( c3_1(X119)
      | ~ c0_1(X119)
      | ~ c1_1(X119)
      | ~ ndr1_0
      | hskp14
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X118] :
      ( c2_1(X118)
      | ~ c1_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X117] :
      ( c2_1(X117)
      | ~ c1_1(X117)
      | ~ c3_1(X117)
      | ~ ndr1_0
      | hskp28
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X114,X115] :
      ( c2_1(X114)
      | c3_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X113] :
      ( c1_1(X113)
      | ~ c0_1(X113)
      | ~ c2_1(X113)
      | ~ ndr1_0
      | hskp24
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X108,X109,X107] :
      ( c1_1(X107)
      | c3_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | ~ c0_1(X108)
      | ~ c3_1(X108)
      | ~ ndr1_0
      | c3_1(X109)
      | ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X106,X105] :
      ( c1_1(X105)
      | c3_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | c1_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X104] :
      ( c1_1(X104)
      | c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | hskp29
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X101,X102,X100] :
      ( c1_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X98,X99,X97] :
      ( c1_1(X97)
      | c3_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X92,X93] :
      ( c1_1(X92)
      | c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c1_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X88] :
      ( c1_1(X88)
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | hskp20
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X78,X79] :
      ( c0_1(X78)
      | ~ c1_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X76,X77] :
      ( c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X72,X73] :
      ( c0_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X70,X71] :
      ( c0_1(X70)
      | ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X68,X69,X67] :
      ( c0_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | c2_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X62,X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c0_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | c3_1(X58)
      | ~ c1_1(X58)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | c2_1(X51)
      | ~ c0_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X48,X49,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | c2_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ c0_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X36,X37,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X31] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | hskp13
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c2_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c0_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X16] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c3_1(X12)
      | ~ c0_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | ~ c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c2_1(X8)
      | ~ c1_1(X8)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c3_1(a753) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c2_1(a753) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a753) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c3_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c2_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c1_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c1_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c0_1(a678) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp27
    | c2_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp27
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp27
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp26
    | ~ c3_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp26
    | ~ c0_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp26
    | c1_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp25
    | ~ c3_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp25
    | ~ c1_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp25
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c0_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c1_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | c2_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c0_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c3_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | c2_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c1_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c3_1(a715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | ~ c2_1(a715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a715) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c2_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | c1_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c0_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c2_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c1_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a703) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c1_1(a703) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | c3_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c2_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp15
    | c2_1(a700) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | c2_1(a696) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | c0_1(a696) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c3_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c1_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c0_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c2_1(a684) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c0_1(a684) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c3_1(a684) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c2_1(a683) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | c3_1(a683) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c0_1(a683) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c0_1(a681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | c3_1(a681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c2_1(a681) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c3_1(a680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c2_1(a680) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | c3_1(a679) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | c1_1(a679) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | c3_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c1_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c1_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | c3_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | c0_1(a674) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c3_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | ~ c2_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | ~ c0_1(a673) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c3_1(a668) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | ~ c2_1(a668) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c1_1(a668) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ! [X124,X125] :
      ( ~ c0_1(X124)
      | ~ c2_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | ~ c1_1(X125)
      | ~ c2_1(X125)
      | ~ c3_1(X125) ),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f211,plain,
    ! [X120,X121] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | ~ c0_1(X121)
      | ~ c2_1(X121)
      | ~ c3_1(X121)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f212,plain,
    ! [X114,X115] :
      ( c2_1(X114)
      | c3_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | ~ c0_1(X115)
      | ~ c2_1(X115)
      | ~ c3_1(X115)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f214,plain,
    ! [X108,X109,X107] :
      ( c1_1(X107)
      | c3_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | c2_1(X108)
      | ~ c0_1(X108)
      | ~ c3_1(X108)
      | c3_1(X109)
      | ~ c0_1(X109)
      | ~ c2_1(X109) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f215,plain,
    ! [X106,X105] :
      ( c1_1(X105)
      | c3_1(X105)
      | ~ c2_1(X105)
      | ~ ndr1_0
      | c1_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f216,plain,
    ! [X101,X102,X100] :
      ( c1_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f217,plain,
    ! [X98,X99,X97] :
      ( c1_1(X97)
      | c3_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f218,plain,
    ! [X94,X95] :
      ( c1_1(X94)
      | c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ c3_1(X95)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f219,plain,
    ! [X92,X93] :
      ( c1_1(X92)
      | c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c1_1(X93)
      | ~ c2_1(X93)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f223,plain,
    ! [X78,X79] :
      ( c0_1(X78)
      | ~ c1_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f224,plain,
    ! [X76,X77] :
      ( c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f226,plain,
    ! [X72,X73] :
      ( c0_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c3_1(X73)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f227,plain,
    ! [X70,X71] :
      ( c0_1(X70)
      | ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f228,plain,
    ! [X68,X69,X67] :
      ( c0_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | c2_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f231,plain,
    ! [X62,X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c0_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f232,plain,
    ! [X58,X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | c3_1(X58)
      | ~ c1_1(X58)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f235,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | c3_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | c2_1(X51)
      | ~ c0_1(X51)
      | ~ c3_1(X51)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f236,plain,
    ! [X48,X49,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c1_1(X48)
      | c2_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49) ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f239,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | ~ c0_1(X42)
      | ~ c3_1(X42)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f240,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ c0_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f241,plain,
    ! [X36,X37,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36)
      | c1_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f242,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f243,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c2_1(X29)
      | ~ c1_1(X29)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f244,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f245,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f246,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f247,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c1_1(X19)
      | ~ c3_1(X19)
      | c2_1(X20)
      | ~ c0_1(X20)
      | ~ c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f248,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f249,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X13)
      | ~ c1_1(X13)
      | ~ c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f250,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f251,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c2_1(X8)
      | ~ c1_1(X8)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f255,definition,
    ( spl0_1
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_2
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_3
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f261,f258,f255]) ).

fof(f265,definition,
    ( spl0_4
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_5
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_6
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f271,f268,f265]) ).

fof(f275,definition,
    ( spl0_7
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_8
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f280,plain,
    ( spl0_7
    | spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f278,f265,f275]) ).

fof(f288,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_13
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_14
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_15
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_16
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f308,definition,
    ( spl0_17
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f310,plain,
    ( spl0_15
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f11,f308,f305,f302]) ).

fof(f312,definition,
    ( spl0_18
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_19
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_20
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_21
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f324,plain,
    ( spl0_19
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f13,f322,f319,f316]) ).

fof(f325,plain,
    ( spl0_14
    | spl0_17
    | spl0_21 ),
    inference(avatar_split_clause,[],[f14,f322,f308,f298]) ).

fof(f327,definition,
    ( spl0_22
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f331,definition,
    ( spl0_23
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f334,definition,
    ( spl0_24
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_25
  <=> ! [X126] :
        ( ~ c1_1(X126)
        | ~ c3_1(X126)
        | ~ c2_1(X126) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X126] :
        ( ~ c3_1(X126)
        | ~ c1_1(X126)
        | ~ c2_1(X126) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_7
    | spl0_23
    | ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f16,f337,f334,f331,f275]) ).

fof(f341,definition,
    ( spl0_26
  <=> ! [X124] :
        ( ~ c0_1(X124)
        | ~ c3_1(X124)
        | ~ c2_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X124] :
        ( ~ c3_1(X124)
        | ~ c0_1(X124)
        | ~ c2_1(X124) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f343,plain,
    ( spl0_25
    | ~ spl0_24
    | spl0_26 ),
    inference(avatar_split_clause,[],[f210,f341,f334,f337]) ).

fof(f345,definition,
    ( spl0_27
  <=> ! [X123] :
        ( ~ c0_1(X123)
        | ~ c2_1(X123)
        | ~ c1_1(X123) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X123] :
        ( ~ c2_1(X123)
        | ~ c0_1(X123)
        | ~ c1_1(X123) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_1
    | spl0_19
    | ~ spl0_24
    | spl0_27 ),
    inference(avatar_split_clause,[],[f18,f345,f334,f316,f255]) ).

fof(f352,definition,
    ( spl0_29
  <=> ! [X122] :
        ( c3_1(X122)
        | ~ c2_1(X122)
        | ~ c1_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X122] :
        ( c3_1(X122)
        | ~ c2_1(X122)
        | ~ c1_1(X122) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f355,plain,
    ( spl0_13
    | spl0_26
    | ~ spl0_24
    | spl0_29 ),
    inference(avatar_split_clause,[],[f211,f352,f334,f341,f295]) ).

fof(f357,definition,
    ( spl0_30
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f360,definition,
    ( spl0_31
  <=> ! [X119] :
        ( c3_1(X119)
        | ~ c1_1(X119)
        | ~ c0_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X119] :
        ( c3_1(X119)
        | ~ c1_1(X119)
        | ~ c0_1(X119) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_11
    | spl0_30
    | ~ spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f21,f360,f334,f357,f288]) ).

fof(f364,definition,
    ( spl0_32
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f367,definition,
    ( spl0_33
  <=> ! [X118] :
        ( c2_1(X118)
        | ~ c3_1(X118)
        | ~ c1_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | c2_1(X118)
        | ~ c1_1(X118) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_32
    | spl0_30
    | ~ spl0_24
    | spl0_33 ),
    inference(avatar_split_clause,[],[f22,f367,f334,f357,f364]) ).

fof(f371,definition,
    ( spl0_34
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_34
    | spl0_21
    | ~ spl0_24
    | spl0_33 ),
    inference(avatar_split_clause,[],[f23,f367,f334,f322,f371]) ).

fof(f375,definition,
    ( spl0_35
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f378,definition,
    ( spl0_36
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | c2_1(X116)
        | ~ c0_1(X116) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f382,definition,
    ( spl0_37
  <=> ! [X114] :
        ( c2_1(X114)
        | ~ c1_1(X114)
        | c3_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | ~ c1_1(X114)
        | c2_1(X114) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_24
    | spl0_37 ),
    inference(avatar_split_clause,[],[f212,f382,f334,f341,f255]) ).

fof(f386,definition,
    ( spl0_38
  <=> ! [X113] :
        ( c1_1(X113)
        | ~ c2_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X113] :
        ( ~ c2_1(X113)
        | c1_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f388,plain,
    ( spl0_20
    | spl0_11
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f26,f386,f334,f288,f319]) ).

fof(f390,definition,
    ( spl0_39
  <=> ! [X112] :
        ( c1_1(X112)
        | ~ c3_1(X112)
        | ~ c2_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X112] :
        ( ~ c3_1(X112)
        | c1_1(X112)
        | ~ c2_1(X112) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f394,definition,
    ( spl0_40
  <=> ! [X110] :
        ( c1_1(X110)
        | ~ c2_1(X110)
        | c3_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | c1_1(X110) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f398,definition,
    ( spl0_41
  <=> ! [X109] :
        ( c3_1(X109)
        | ~ c2_1(X109)
        | ~ c0_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | ~ c2_1(X109)
        | ~ c0_1(X109) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_41
    | spl0_36
    | ~ spl0_24
    | spl0_40 ),
    inference(avatar_split_clause,[],[f214,f394,f334,f378,f398]) ).

fof(f401,plain,
    ( spl0_18
    | spl0_39
    | ~ spl0_24
    | spl0_40 ),
    inference(avatar_split_clause,[],[f215,f394,f334,f390,f312]) ).

fof(f403,definition,
    ( spl0_42
  <=> ! [X104] :
        ( c1_1(X104)
        | ~ c0_1(X104)
        | c3_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X104] :
        ( c3_1(X104)
        | ~ c0_1(X104)
        | c1_1(X104) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_35
    | spl0_8
    | ~ spl0_24
    | spl0_42 ),
    inference(avatar_split_clause,[],[f31,f403,f334,f278,f375]) ).

fof(f407,definition,
    ( spl0_43
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f410,plain,
    ( spl0_25
    | spl0_31
    | ~ spl0_24
    | spl0_42 ),
    inference(avatar_split_clause,[],[f216,f403,f334,f360,f337]) ).

fof(f411,plain,
    ( spl0_25
    | spl0_40
    | ~ spl0_24
    | spl0_42 ),
    inference(avatar_split_clause,[],[f217,f403,f334,f394,f337]) ).

fof(f413,definition,
    ( spl0_44
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | c2_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c1_1(X96)
        | c2_1(X96) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f417,definition,
    ( spl0_45
  <=> ! [X95] :
        ( ~ c0_1(X95)
        | ~ c3_1(X95)
        | ~ c1_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X95] :
        ( ~ c3_1(X95)
        | ~ c0_1(X95)
        | ~ c1_1(X95) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_7
    | spl0_45
    | ~ spl0_24
    | spl0_44 ),
    inference(avatar_split_clause,[],[f218,f413,f334,f417,f275]) ).

fof(f420,plain,
    ( spl0_34
    | spl0_29
    | ~ spl0_24
    | spl0_44 ),
    inference(avatar_split_clause,[],[f219,f413,f334,f352,f371]) ).

fof(f422,definition,
    ( spl0_46
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c0_1(X91)
        | c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X91] :
        ( c2_1(X91)
        | ~ c0_1(X91)
        | c1_1(X91) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f427,plain,
    ( spl0_18
    | spl0_43
    | ~ spl0_24
    | spl0_46 ),
    inference(avatar_split_clause,[],[f41,f422,f334,f407,f312]) ).

fof(f430,definition,
    ( spl0_47
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_50
  <=> ! [X81] :
        ( c0_1(X81)
        | ~ c3_1(X81)
        | ~ c2_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c0_1(X81)
        | ~ c2_1(X81) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f445,definition,
    ( spl0_51
  <=> ! [X80] :
        ( c0_1(X80)
        | ~ c3_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c0_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,plain,
    ( spl0_32
    | spl0_41
    | ~ spl0_24
    | spl0_51 ),
    inference(avatar_split_clause,[],[f223,f445,f334,f398,f364]) ).

fof(f449,plain,
    ( spl0_7
    | spl0_31
    | ~ spl0_24
    | spl0_51 ),
    inference(avatar_split_clause,[],[f224,f445,f334,f360,f275]) ).

fof(f455,definition,
    ( spl0_53
  <=> ! [X72] :
        ( c0_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72)
        | ~ c1_1(X72) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl0_35
    | spl0_45
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f226,f455,f334,f417,f375]) ).

fof(f458,plain,
    ( spl0_34
    | spl0_31
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f227,f455,f334,f360,f371]) ).

fof(f460,definition,
    ( spl0_54
  <=> ! [X69] :
        ( c2_1(X69)
        | ~ c1_1(X69)
        | ~ c0_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X69] :
        ( c2_1(X69)
        | ~ c1_1(X69)
        | ~ c0_1(X69) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f463,definition,
    ( spl0_55
  <=> ! [X68] :
        ( c2_1(X68)
        | ~ c0_1(X68)
        | c3_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | ~ c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_54
    | spl0_55
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f228,f455,f334,f463,f460]) ).

fof(f468,plain,
    ( spl0_25
    | spl0_50
    | ~ spl0_24
    | spl0_53 ),
    inference(avatar_split_clause,[],[f231,f455,f334,f441,f337]) ).

fof(f470,definition,
    ( spl0_56
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f473,plain,
    ( spl0_34
    | spl0_37
    | ~ spl0_24
    | spl0_56 ),
    inference(avatar_split_clause,[],[f232,f470,f334,f382,f371]) ).

fof(f476,definition,
    ( spl0_57
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X52] :
        ( c3_1(X52)
        | ~ c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f479,plain,
    ( spl0_15
    | spl0_36
    | ~ spl0_24
    | spl0_57 ),
    inference(avatar_split_clause,[],[f235,f476,f334,f378,f302]) ).

fof(f480,plain,
    ( spl0_33
    | spl0_54
    | ~ spl0_24
    | spl0_57 ),
    inference(avatar_split_clause,[],[f236,f476,f334,f460,f367]) ).

fof(f484,definition,
    ( spl0_58
  <=> ! [X41] :
        ( c0_1(X41)
        | ~ c3_1(X41)
        | c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | c2_1(X41) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_3
    | spl0_36
    | ~ spl0_24
    | spl0_58 ),
    inference(avatar_split_clause,[],[f239,f484,f334,f378,f261]) ).

fof(f488,definition,
    ( spl0_59
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f489,plain,
    ( ! [X38] :
        ( c2_1(X38)
        | ~ c1_1(X38)
        | c0_1(X38) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f490,plain,
    ( spl0_26
    | spl0_39
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f240,f488,f334,f390,f341]) ).

fof(f491,plain,
    ( spl0_38
    | spl0_50
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f241,f488,f334,f441,f386]) ).

fof(f492,plain,
    ( spl0_25
    | spl0_51
    | ~ spl0_24
    | spl0_59 ),
    inference(avatar_split_clause,[],[f242,f488,f334,f445,f337]) ).

fof(f494,definition,
    ( spl0_60
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X31] :
        ( c3_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( spl0_19
    | spl0_18
    | ~ spl0_24
    | spl0_60 ),
    inference(avatar_split_clause,[],[f68,f494,f334,f312,f316]) ).

fof(f497,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_24
    | spl0_60 ),
    inference(avatar_split_clause,[],[f69,f494,f334,f322,f261]) ).

fof(f498,plain,
    ( spl0_47
    | spl0_59
    | ~ spl0_24
    | spl0_60 ),
    inference(avatar_split_clause,[],[f243,f494,f334,f488,f430]) ).

fof(f500,definition,
    ( spl0_61
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | c1_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | c1_1(X26) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( spl0_15
    | spl0_25
    | ~ spl0_24
    | spl0_61 ),
    inference(avatar_split_clause,[],[f244,f500,f334,f337,f302]) ).

fof(f503,plain,
    ( spl0_26
    | spl0_54
    | ~ spl0_24
    | spl0_61 ),
    inference(avatar_split_clause,[],[f245,f500,f334,f460,f341]) ).

fof(f504,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_24
    | spl0_61 ),
    inference(avatar_split_clause,[],[f246,f500,f334,f390,f298]) ).

fof(f505,plain,
    ( spl0_36
    | spl0_51
    | ~ spl0_24
    | spl0_61 ),
    inference(avatar_split_clause,[],[f247,f500,f334,f445,f378]) ).

fof(f507,definition,
    ( spl0_62
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c2_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X17] :
        ( ~ c2_1(X17)
        | c0_1(X17)
        | c1_1(X17) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f510,plain,
    ( spl0_19
    | spl0_5
    | ~ spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f76,f507,f334,f268,f316]) ).

fof(f511,plain,
    ( spl0_21
    | spl0_26
    | ~ spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f248,f507,f334,f341,f322]) ).

fof(f512,plain,
    ( spl0_33
    | spl0_42
    | ~ spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f249,f507,f334,f403,f367]) ).

fof(f513,plain,
    ( spl0_1
    | spl0_44
    | ~ spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f250,f507,f334,f413,f255]) ).

fof(f514,plain,
    ( spl0_22
    | spl0_59
    | ~ spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f251,f507,f334,f488,f327]) ).

fof(f527,definition,
    ( spl0_65
  <=> c3_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f528,plain,
    ( c3_1(a753)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( spl0_65
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f86,f308,f527]) ).

fof(f532,definition,
    ( spl0_66
  <=> c2_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f533,plain,
    ( c2_1(a753)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f534,plain,
    ( spl0_66
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f87,f308,f532]) ).

fof(f536,definition,
    ( spl0_67
  <=> c0_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f538,plain,
    ( spl0_67
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f88,f308,f536]) ).

fof(f542,definition,
    ( spl0_68
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f543,plain,
    ( c3_1(a725)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,plain,
    ( spl0_68
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f90,f278,f542]) ).

fof(f547,definition,
    ( spl0_69
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_69
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f91,f278,f547]) ).

fof(f551,definition,
    ( spl0_70
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f553,plain,
    ( spl0_70
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f92,f278,f551]) ).

fof(f556,definition,
    ( spl0_71
  <=> c3_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f557,plain,
    ( c3_1(a678)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f559,plain,
    ( spl0_71
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f94,f322,f556]) ).

fof(f561,definition,
    ( spl0_72
  <=> c1_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f563,plain,
    ( spl0_72
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f95,f322,f561]) ).

fof(f565,definition,
    ( spl0_73
  <=> c0_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f567,plain,
    ( spl0_73
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f96,f322,f565]) ).

fof(f570,definition,
    ( spl0_74
  <=> c2_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f571,plain,
    ( c2_1(a676)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f573,plain,
    ( spl0_74
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f98,f327,f570]) ).

fof(f575,definition,
    ( spl0_75
  <=> c1_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f577,plain,
    ( spl0_75
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f99,f327,f575]) ).

fof(f579,definition,
    ( spl0_76
  <=> c0_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f581,plain,
    ( spl0_76
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f100,f327,f579]) ).

fof(f584,definition,
    ( spl0_77
  <=> c3_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ c3_1(a762)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f587,plain,
    ( ~ spl0_77
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f102,f305,f584]) ).

fof(f589,definition,
    ( spl0_78
  <=> c0_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ spl0_78
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f103,f305,f589]) ).

fof(f593,definition,
    ( spl0_79
  <=> c1_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_79
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f104,f305,f593]) ).

fof(f598,definition,
    ( spl0_80
  <=> c3_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c3_1(a760)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( ~ spl0_80
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f106,f258,f598]) ).

fof(f603,definition,
    ( spl0_81
  <=> c1_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_81
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f107,f258,f603]) ).

fof(f607,definition,
    ( spl0_82
  <=> c0_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_82
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f108,f258,f607]) ).

fof(f610,plain,
    ( spl0_24
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f109,f258,f334]) ).

fof(f612,definition,
    ( spl0_83
  <=> c3_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ c3_1(a731)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_83
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f110,f288,f612]) ).

fof(f617,definition,
    ( spl0_84
  <=> c1_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ spl0_84
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f111,f288,f617]) ).

fof(f621,definition,
    ( spl0_85
  <=> c0_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_85
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f112,f288,f621]) ).

fof(f626,definition,
    ( spl0_86
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_86
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f114,f331,f626]) ).

fof(f631,definition,
    ( spl0_87
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f632,plain,
    ( c2_1(a730)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f633,plain,
    ( spl0_87
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f115,f331,f631]) ).

fof(f635,definition,
    ( spl0_88
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f637,plain,
    ( spl0_88
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f116,f331,f635]) ).

fof(f640,definition,
    ( spl0_89
  <=> c3_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f641,plain,
    ( ~ c3_1(a716)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_89
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f118,f271,f640]) ).

fof(f645,definition,
    ( spl0_90
  <=> c2_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f646,plain,
    ( c2_1(a716)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( spl0_90
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f119,f271,f645]) ).

fof(f649,definition,
    ( spl0_91
  <=> c1_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f651,plain,
    ( spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f120,f271,f649]) ).

fof(f654,definition,
    ( spl0_92
  <=> c3_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c3_1(a715)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f657,plain,
    ( ~ spl0_92
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f122,f295,f654]) ).

fof(f659,definition,
    ( spl0_93
  <=> c2_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c2_1(a715)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( ~ spl0_93
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f295,f659]) ).

fof(f663,definition,
    ( spl0_94
  <=> c0_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_94
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f295,f663]) ).

fof(f668,definition,
    ( spl0_95
  <=> c2_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c2_1(a711)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl0_95
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f126,f407,f668]) ).

fof(f673,definition,
    ( spl0_96
  <=> c1_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_96
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f127,f407,f673]) ).

fof(f677,definition,
    ( spl0_97
  <=> c0_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f679,plain,
    ( spl0_97
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f128,f407,f677]) ).

fof(f682,definition,
    ( spl0_98
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ spl0_98
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f130,f319,f682]) ).

fof(f687,definition,
    ( spl0_99
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f688,plain,
    ( c2_1(a710)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_99
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f131,f319,f687]) ).

fof(f691,definition,
    ( spl0_100
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f693,plain,
    ( spl0_100
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f132,f319,f691]) ).

fof(f710,definition,
    ( spl0_104
  <=> c2_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ c2_1(a703)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f138,f364,f710]) ).

fof(f715,definition,
    ( spl0_105
  <=> c0_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ spl0_105
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f139,f364,f715]) ).

fof(f719,definition,
    ( spl0_106
  <=> c1_1(a703) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f721,plain,
    ( spl0_106
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f140,f364,f719]) ).

fof(f724,definition,
    ( spl0_107
  <=> c1_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f727,plain,
    ( ~ spl0_107
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f142,f275,f724]) ).

fof(f729,definition,
    ( spl0_108
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f730,plain,
    ( c3_1(a702)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( spl0_108
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f143,f275,f729]) ).

fof(f733,definition,
    ( spl0_109
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f734,plain,
    ( c2_1(a702)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_109
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f144,f275,f733]) ).

fof(f738,definition,
    ( spl0_110
  <=> c3_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ c3_1(a700)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( ~ spl0_110
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f146,f375,f738]) ).

fof(f743,definition,
    ( spl0_111
  <=> c0_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ spl0_111
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f147,f375,f743]) ).

fof(f747,definition,
    ( spl0_112
  <=> c2_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f748,plain,
    ( c2_1(a700)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f749,plain,
    ( spl0_112
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f148,f375,f747]) ).

fof(f752,definition,
    ( spl0_113
  <=> c3_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f753,plain,
    ( ~ c3_1(a696)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( ~ spl0_113
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f150,f357,f752]) ).

fof(f757,definition,
    ( spl0_114
  <=> c2_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f758,plain,
    ( c2_1(a696)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_114
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f151,f357,f757]) ).

fof(f761,definition,
    ( spl0_115
  <=> c0_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f763,plain,
    ( spl0_115
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f152,f357,f761]) ).

fof(f766,definition,
    ( spl0_116
  <=> c3_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c3_1(a688)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( ~ spl0_116
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f154,f312,f766]) ).

fof(f771,definition,
    ( spl0_117
  <=> c1_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_117
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f155,f312,f771]) ).

fof(f775,definition,
    ( spl0_118
  <=> c0_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f777,plain,
    ( spl0_118
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f156,f312,f775]) ).

fof(f780,definition,
    ( spl0_119
  <=> c2_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c2_1(a684)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_119
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f158,f302,f780]) ).

fof(f785,definition,
    ( spl0_120
  <=> c0_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ spl0_120
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f159,f302,f785]) ).

fof(f789,definition,
    ( spl0_121
  <=> c3_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f790,plain,
    ( c3_1(a684)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_121
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f160,f302,f789]) ).

fof(f794,definition,
    ( spl0_122
  <=> c2_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ c2_1(a683)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_122
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f162,f298,f794]) ).

fof(f799,definition,
    ( spl0_123
  <=> c3_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f800,plain,
    ( c3_1(a683)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f801,plain,
    ( spl0_123
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f163,f298,f799]) ).

fof(f803,definition,
    ( spl0_124
  <=> c0_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_124
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f164,f298,f803]) ).

fof(f808,definition,
    ( spl0_125
  <=> c0_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ spl0_125
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f166,f371,f808]) ).

fof(f813,definition,
    ( spl0_126
  <=> c3_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f814,plain,
    ( c3_1(a681)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f815,plain,
    ( spl0_126
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f167,f371,f813]) ).

fof(f817,definition,
    ( spl0_127
  <=> c2_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f818,plain,
    ( c2_1(a681)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f819,plain,
    ( spl0_127
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f168,f371,f817]) ).

fof(f822,definition,
    ( spl0_128
  <=> c3_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ c3_1(a680)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( ~ spl0_128
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f170,f316,f822]) ).

fof(f827,definition,
    ( spl0_129
  <=> c1_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ spl0_129
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f171,f316,f827]) ).

fof(f831,definition,
    ( spl0_130
  <=> c2_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f832,plain,
    ( c2_1(a680)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f833,plain,
    ( spl0_130
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f172,f316,f831]) ).

fof(f836,definition,
    ( spl0_131
  <=> c0_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ spl0_131
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f174,f268,f836]) ).

fof(f841,definition,
    ( spl0_132
  <=> c3_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f842,plain,
    ( c3_1(a679)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f843,plain,
    ( spl0_132
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f175,f268,f841]) ).

fof(f845,definition,
    ( spl0_133
  <=> c1_1(a679) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f847,plain,
    ( spl0_133
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f176,f268,f845]) ).

fof(f850,definition,
    ( spl0_134
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ c2_1(a675)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl0_134
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f178,f261,f850]) ).

fof(f855,definition,
    ( spl0_135
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f856,plain,
    ( c3_1(a675)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f857,plain,
    ( spl0_135
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f179,f261,f855]) ).

fof(f859,definition,
    ( spl0_136
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f861,plain,
    ( spl0_136
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f180,f261,f859]) ).

fof(f862,plain,
    ( spl0_24
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f181,f261,f334]) ).

fof(f864,definition,
    ( spl0_137
  <=> c1_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ spl0_137
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f182,f430,f864]) ).

fof(f869,definition,
    ( spl0_138
  <=> c3_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f870,plain,
    ( c3_1(a674)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f871,plain,
    ( spl0_138
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f183,f430,f869]) ).

fof(f873,definition,
    ( spl0_139
  <=> c0_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f875,plain,
    ( spl0_139
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f184,f430,f873]) ).

fof(f878,definition,
    ( spl0_140
  <=> c3_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c3_1(a673)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f881,plain,
    ( ~ spl0_140
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f255,f878]) ).

fof(f883,definition,
    ( spl0_141
  <=> c2_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f187,f255,f883]) ).

fof(f887,definition,
    ( spl0_142
  <=> c0_1(a673) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f188,f255,f887]) ).

fof(f890,plain,
    ( spl0_24
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f189,f255,f334]) ).

fof(f948,definition,
    ( spl0_155
  <=> c3_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f949,plain,
    ( ~ c3_1(a668)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( ~ spl0_155
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f206,f265,f948]) ).

fof(f953,definition,
    ( spl0_156
  <=> c2_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ c2_1(a668)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f955,plain,
    ( ~ spl0_156
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f207,f265,f953]) ).

fof(f957,definition,
    ( spl0_157
  <=> c1_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f959,plain,
    ( spl0_157
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f208,f265,f957]) ).

fof(f963,plain,
    ( ~ c1_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(resolution,[],[f338,f557]) ).

fof(f965,definition,
    ( spl0_158
  <=> c2_1(a678) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f966,plain,
    ( ~ c2_1(a678)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f968,plain,
    ( ~ spl0_158
    | ~ spl0_72
    | ~ spl0_25
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f963,f556,f337,f561,f965]) ).

fof(f974,definition,
    ( spl0_159
  <=> c1_1(a753) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f977,plain,
    ( ~ c0_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f342,f528]) ).

fof(f978,plain,
    ( ~ c0_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_26
    | ~ spl0_68 ),
    inference(resolution,[],[f342,f543]) ).

fof(f979,plain,
    ( ~ c0_1(a678)
    | ~ c2_1(a678)
    | ~ spl0_26
    | ~ spl0_71 ),
    inference(resolution,[],[f342,f557]) ).

fof(f981,plain,
    ( ~ spl0_158
    | ~ spl0_73
    | ~ spl0_26
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f979,f556,f341,f565,f965]) ).

fof(f983,definition,
    ( spl0_160
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ spl0_69
    | ~ spl0_160
    | ~ spl0_26
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f978,f542,f341,f983,f547]) ).

fof(f988,plain,
    ( ~ c0_1(a716)
    | ~ c1_1(a716)
    | ~ spl0_27
    | ~ spl0_90 ),
    inference(resolution,[],[f346,f646]) ).

fof(f990,plain,
    ( ~ c0_1(a676)
    | ~ c1_1(a676)
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(resolution,[],[f346,f571]) ).

fof(f997,plain,
    ( ~ spl0_75
    | ~ spl0_76
    | ~ spl0_27
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f990,f570,f345,f579,f575]) ).

fof(f1000,definition,
    ( spl0_161
  <=> c0_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1002,plain,
    ( ~ spl0_91
    | ~ spl0_161
    | ~ spl0_27
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f988,f645,f345,f1000,f649]) ).

fof(f1004,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(resolution,[],[f361,f342]) ).

fof(f1006,plain,
    ( ~ c1_1(a716)
    | ~ c0_1(a716)
    | ~ spl0_31
    | spl0_89 ),
    inference(resolution,[],[f361,f641]) ).

fof(f1009,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1004]) ).

fof(f1010,plain,
    ( ~ spl0_161
    | ~ spl0_91
    | ~ spl0_31
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1006,f640,f360,f649,f1000]) ).

fof(f1013,definition,
    ( spl0_162
  <=> c1_1(a715) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(resolution,[],[f368,f361]) ).

fof(f1018,plain,
    ( c2_1(a678)
    | ~ c1_1(a678)
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(resolution,[],[f368,f557]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1016]) ).

fof(f1022,plain,
    ( c2_1(a678)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f1023,plain,
    ( ~ spl0_72
    | spl0_158
    | ~ spl0_33
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1018,f556,f367,f965,f561]) ).

fof(f1024,plain,
    ( spl0_54
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1021,f367,f360,f460]) ).

fof(f1027,plain,
    ( c2_1(a678)
    | ~ c0_1(a678)
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(resolution,[],[f379,f557]) ).

fof(f1031,plain,
    ( ~ spl0_73
    | spl0_158
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1027,f556,f378,f965,f565]) ).

fof(f1039,plain,
    ( c1_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_38
    | ~ spl0_87 ),
    inference(resolution,[],[f387,f632]) ).

fof(f1042,plain,
    ( c1_1(a753)
    | ~ c0_1(a753)
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f387,f533]) ).

fof(f1045,plain,
    ( ~ spl0_88
    | spl0_86
    | ~ spl0_38
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1039,f631,f386,f626,f635]) ).

fof(f1049,definition,
    ( spl0_164
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1057,plain,
    ( c1_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_39
    | ~ spl0_108 ),
    inference(resolution,[],[f391,f730]) ).

fof(f1061,plain,
    ( c1_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(resolution,[],[f391,f528]) ).

fof(f1063,plain,
    ( ~ spl0_66
    | spl0_159
    | ~ spl0_39
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1061,f527,f390,f974,f532]) ).

fof(f1068,plain,
    ( ~ c2_1(a760)
    | c1_1(a760)
    | ~ spl0_40
    | spl0_80 ),
    inference(resolution,[],[f395,f599]) ).

fof(f1073,definition,
    ( spl0_165
  <=> c2_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1075,plain,
    ( spl0_81
    | ~ spl0_165
    | ~ spl0_40
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1068,f598,f394,f1073,f603]) ).

fof(f1084,plain,
    ( ~ c0_1(a696)
    | c1_1(a696)
    | ~ spl0_42
    | spl0_113 ),
    inference(resolution,[],[f753,f404]) ).

fof(f1087,definition,
    ( spl0_166
  <=> c1_1(a696) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1092,plain,
    ( spl0_166
    | ~ spl0_115
    | ~ spl0_42
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1084,f752,f403,f761,f1087]) ).

fof(f1093,plain,
    ( c1_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_38
    | ~ spl0_114 ),
    inference(resolution,[],[f758,f387]) ).

fof(f1138,definition,
    ( spl0_167
  <=> c1_1(a700) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1147,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(resolution,[],[f338,f361]) ).

fof(f1150,plain,
    ( ~ c1_1(a681)
    | ~ c2_1(a681)
    | ~ spl0_25
    | ~ spl0_126 ),
    inference(resolution,[],[f338,f814]) ).

fof(f1154,plain,
    ( ~ c1_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(resolution,[],[f338,f543]) ).

fof(f1155,plain,
    ( ~ c1_1(a753)
    | ~ c2_1(a753)
    | ~ spl0_25
    | ~ spl0_65 ),
    inference(resolution,[],[f338,f528]) ).

fof(f1157,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1147]) ).

fof(f1158,plain,
    ( ~ spl0_66
    | ~ spl0_159
    | ~ spl0_25
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1155,f527,f337,f974,f532]) ).

fof(f1159,plain,
    ( ~ spl0_69
    | ~ spl0_70
    | ~ spl0_25
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1154,f542,f337,f551,f547]) ).

fof(f1162,definition,
    ( spl0_168
  <=> c1_1(a681) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1164,plain,
    ( ~ spl0_127
    | ~ spl0_168
    | ~ spl0_25
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1150,f813,f337,f1162,f817]) ).

fof(f1196,plain,
    ( c0_1(a681)
    | ~ c2_1(a681)
    | ~ spl0_50
    | ~ spl0_126 ),
    inference(resolution,[],[f442,f814]) ).

fof(f1200,plain,
    ( c0_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(resolution,[],[f442,f543]) ).

fof(f1205,plain,
    ( ~ spl0_69
    | spl0_160
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1200,f542,f441,f983,f547]) ).

fof(f1209,plain,
    ( ~ spl0_127
    | spl0_125
    | ~ spl0_50
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1196,f813,f441,f808,f817]) ).

fof(f1230,plain,
    ( c0_1(a716)
    | ~ c1_1(a716)
    | ~ spl0_53
    | ~ spl0_90 ),
    inference(resolution,[],[f456,f646]) ).

fof(f1236,plain,
    ( ~ spl0_91
    | spl0_161
    | ~ spl0_53
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1230,f645,f455,f1000,f649]) ).

fof(f1244,definition,
    ( spl0_170
  <=> c2_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1270,plain,
    ( ~ c1_1(a678)
    | ~ c0_1(a678)
    | ~ spl0_54
    | spl0_158 ),
    inference(resolution,[],[f461,f966]) ).

fof(f1273,plain,
    ( ~ spl0_73
    | ~ spl0_72
    | ~ spl0_54
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1270,f965,f460,f561,f565]) ).

fof(f1284,plain,
    ( ~ c0_1(a715)
    | c2_1(a715)
    | ~ spl0_55
    | spl0_92 ),
    inference(resolution,[],[f464,f655]) ).

fof(f1286,plain,
    ( ~ c0_1(a731)
    | c2_1(a731)
    | ~ spl0_55
    | spl0_83 ),
    inference(resolution,[],[f464,f613]) ).

fof(f1293,plain,
    ( spl0_170
    | ~ spl0_85
    | ~ spl0_55
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1286,f612,f463,f621,f1244]) ).

fof(f1294,plain,
    ( spl0_93
    | ~ spl0_94
    | ~ spl0_55
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1284,f654,f463,f663,f659]) ).

fof(f1301,plain,
    ( ~ c1_1(a688)
    | ~ c0_1(a688)
    | ~ spl0_31
    | spl0_116 ),
    inference(resolution,[],[f767,f361]) ).

fof(f1310,plain,
    ( c1_1(a683)
    | c2_1(a683)
    | ~ spl0_44
    | ~ spl0_123 ),
    inference(resolution,[],[f800,f414]) ).

fof(f1317,definition,
    ( spl0_172
  <=> c1_1(a683) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1325,plain,
    ( ~ c0_1(a678)
    | ~ c1_1(a678)
    | ~ spl0_27
    | ~ spl0_158 ),
    inference(resolution,[],[f1022,f346]) ).

fof(f1326,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_27
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1325,f965,f345,f565,f561]) ).

fof(f1330,plain,
    ( ~ c1_1(a683)
    | ~ c0_1(a683)
    | ~ spl0_54
    | spl0_122 ),
    inference(resolution,[],[f461,f795]) ).

fof(f1334,plain,
    ( ~ c1_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_54
    | spl0_95 ),
    inference(resolution,[],[f461,f669]) ).

fof(f1339,plain,
    ( ~ spl0_97
    | ~ spl0_96
    | ~ spl0_54
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1334,f668,f460,f673,f677]) ).

fof(f1340,plain,
    ( ~ spl0_124
    | ~ spl0_172
    | ~ spl0_54
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1330,f794,f460,f1317,f803]) ).

fof(f1342,plain,
    ( ~ spl0_67
    | spl0_159
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1042,f532,f386,f974,f536]) ).

fof(f1361,definition,
    ( spl0_174
  <=> c0_1(a668) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1366,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(resolution,[],[f353,f446]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1366]) ).

fof(f1389,plain,
    ( spl0_53
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1379,f445,f352,f455]) ).

fof(f1392,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_41 ),
    inference(resolution,[],[f399,f338]) ).

fof(f1396,plain,
    ( ~ c2_1(a696)
    | ~ c0_1(a696)
    | ~ spl0_41
    | spl0_113 ),
    inference(resolution,[],[f399,f753]) ).

fof(f1403,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1392]) ).

fof(f1415,plain,
    ( ~ c0_1(a715)
    | c1_1(a715)
    | ~ spl0_46
    | spl0_93 ),
    inference(resolution,[],[f423,f660]) ).

fof(f1418,plain,
    ( spl0_162
    | ~ spl0_94
    | ~ spl0_46
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1415,f659,f422,f663,f1013]) ).

fof(f1422,plain,
    ( c1_1(a674)
    | c2_1(a674)
    | ~ spl0_44
    | ~ spl0_138 ),
    inference(resolution,[],[f870,f414]) ).

fof(f1426,definition,
    ( spl0_176
  <=> c2_1(a674) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1429,plain,
    ( spl0_176
    | spl0_137
    | ~ spl0_44
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1422,f869,f413,f864,f1426]) ).

fof(f1432,plain,
    ( c0_1(a700)
    | ~ c1_1(a700)
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(resolution,[],[f456,f748]) ).

fof(f1434,plain,
    ( c0_1(a710)
    | ~ c1_1(a710)
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(resolution,[],[f456,f688]) ).

fof(f1444,plain,
    ( ~ spl0_100
    | spl0_98
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1434,f687,f455,f682,f691]) ).

fof(f1445,plain,
    ( ~ spl0_167
    | spl0_111
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1432,f747,f455,f743,f1138]) ).

fof(f1454,plain,
    ( ~ c0_1(a696)
    | ~ c1_1(a696)
    | ~ spl0_27
    | ~ spl0_114 ),
    inference(resolution,[],[f758,f346]) ).

fof(f1455,plain,
    ( ~ spl0_166
    | ~ spl0_115
    | ~ spl0_27
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1454,f757,f345,f761,f1087]) ).

fof(f1456,plain,
    ( ~ c2_1(a680)
    | ~ c0_1(a680)
    | ~ spl0_41
    | spl0_128 ),
    inference(resolution,[],[f823,f399]) ).

fof(f1461,definition,
    ( spl0_177
  <=> c0_1(a680) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1463,plain,
    ( ~ spl0_177
    | ~ spl0_130
    | ~ spl0_41
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1456,f822,f398,f831,f1461]) ).

fof(f1471,plain,
    ( ~ c2_1(a680)
    | c1_1(a680)
    | ~ spl0_40
    | spl0_128 ),
    inference(resolution,[],[f395,f823]) ).

fof(f1481,plain,
    ( spl0_129
    | ~ spl0_130
    | ~ spl0_40
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1471,f822,f394,f831,f827]) ).

fof(f1514,plain,
    ( ~ c0_1(a731)
    | c1_1(a731)
    | ~ spl0_42
    | spl0_83 ),
    inference(resolution,[],[f404,f613]) ).

fof(f1519,plain,
    ( spl0_84
    | ~ spl0_85
    | ~ spl0_42
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1514,f612,f403,f621,f617]) ).

fof(f1524,plain,
    ( ~ c2_1(a700)
    | ~ c1_1(a700)
    | ~ spl0_29
    | spl0_110 ),
    inference(resolution,[],[f739,f353]) ).

fof(f1525,plain,
    ( ~ spl0_167
    | ~ spl0_112
    | ~ spl0_29
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1524,f738,f352,f747,f1138]) ).

fof(f1535,plain,
    ( ~ c2_1(a700)
    | c0_1(a700)
    | ~ spl0_56
    | spl0_110 ),
    inference(resolution,[],[f471,f739]) ).

fof(f1546,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_56
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1535,f738,f470,f747,f743]) ).

fof(f1549,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(resolution,[],[f383,f379]) ).

fof(f1554,plain,
    ( ~ c1_1(a668)
    | c2_1(a668)
    | ~ spl0_37
    | spl0_155 ),
    inference(resolution,[],[f383,f949]) ).

fof(f1559,plain,
    ( ~ c1_1(a715)
    | c2_1(a715)
    | ~ spl0_37
    | spl0_92 ),
    inference(resolution,[],[f383,f655]) ).

fof(f1568,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1549]) ).

fof(f1572,plain,
    ( spl0_93
    | ~ spl0_162
    | ~ spl0_37
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1559,f654,f382,f1013,f659]) ).

fof(f1578,plain,
    ( spl0_156
    | ~ spl0_157
    | ~ spl0_37
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1554,f948,f382,f957,f953]) ).

fof(f1580,plain,
    ( spl0_54
    | ~ spl0_36
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1568,f382,f378,f460]) ).

fof(f1586,plain,
    ( ~ c1_1(a668)
    | c0_1(a668)
    | ~ spl0_57
    | spl0_155 ),
    inference(resolution,[],[f477,f949]) ).

fof(f1592,plain,
    ( ~ c1_1(a716)
    | c0_1(a716)
    | ~ spl0_57
    | spl0_89 ),
    inference(resolution,[],[f477,f641]) ).

fof(f1595,plain,
    ( ~ c1_1(a762)
    | c0_1(a762)
    | ~ spl0_57
    | spl0_77 ),
    inference(resolution,[],[f477,f585]) ).

fof(f1599,plain,
    ( spl0_78
    | ~ spl0_79
    | ~ spl0_57
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1595,f584,f476,f593,f589]) ).

fof(f1600,plain,
    ( spl0_161
    | ~ spl0_91
    | ~ spl0_57
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1592,f640,f476,f649,f1000]) ).

fof(f1604,plain,
    ( spl0_174
    | ~ spl0_157
    | ~ spl0_57
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1586,f948,f476,f957,f1361]) ).

fof(f1606,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(resolution,[],[f485,f477]) ).

fof(f1614,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1606]) ).

fof(f1616,plain,
    ( spl0_59
    | ~ spl0_57
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1614,f484,f476,f488]) ).

fof(f1619,plain,
    ( ~ c1_1(a668)
    | c0_1(a668)
    | ~ spl0_59
    | spl0_156 ),
    inference(resolution,[],[f489,f954]) ).

fof(f1623,plain,
    ( ~ c1_1(a703)
    | c0_1(a703)
    | ~ spl0_59
    | spl0_104 ),
    inference(resolution,[],[f489,f711]) ).

fof(f1634,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_59
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1623,f710,f488,f719,f715]) ).

fof(f1636,plain,
    ( spl0_174
    | ~ spl0_157
    | ~ spl0_59
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1619,f953,f488,f957,f1361]) ).

fof(f1645,plain,
    ( c0_1(a668)
    | c2_1(a668)
    | ~ spl0_60
    | spl0_155 ),
    inference(resolution,[],[f495,f949]) ).

fof(f1646,plain,
    ( c0_1(a673)
    | c2_1(a673)
    | ~ spl0_60
    | spl0_140 ),
    inference(resolution,[],[f495,f879]) ).

fof(f1652,plain,
    ( c0_1(a760)
    | c2_1(a760)
    | ~ spl0_60
    | spl0_80 ),
    inference(resolution,[],[f495,f599]) ).

fof(f1665,plain,
    ( ~ c1_1(a675)
    | c0_1(a675)
    | ~ spl0_59
    | spl0_134 ),
    inference(resolution,[],[f851,f489]) ).

fof(f1667,definition,
    ( spl0_178
  <=> c0_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1670,plain,
    ( spl0_178
    | ~ spl0_136
    | ~ spl0_59
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1665,f850,f488,f859,f1667]) ).

fof(f1672,plain,
    ( c2_1(a675)
    | ~ c0_1(a675)
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(resolution,[],[f856,f379]) ).

fof(f1673,plain,
    ( c2_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(resolution,[],[f856,f368]) ).

fof(f1676,plain,
    ( ~ c1_1(a675)
    | ~ c2_1(a675)
    | ~ spl0_25
    | ~ spl0_135 ),
    inference(resolution,[],[f856,f338]) ).

fof(f1680,plain,
    ( ~ spl0_136
    | spl0_134
    | ~ spl0_33
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1673,f855,f367,f850,f859]) ).

fof(f1682,plain,
    ( ~ spl0_178
    | spl0_134
    | ~ spl0_36
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1672,f855,f378,f850,f1667]) ).

fof(f1687,plain,
    ( ~ spl0_115
    | ~ spl0_114
    | ~ spl0_41
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1396,f752,f398,f757,f761]) ).

fof(f1689,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f977,f527,f341,f536,f532]) ).

fof(f1692,plain,
    ( spl0_156
    | spl0_174
    | ~ spl0_60
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1645,f948,f494,f1361,f953]) ).

fof(f1693,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_60
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1646,f878,f494,f887,f883]) ).

fof(f1694,plain,
    ( spl0_165
    | spl0_82
    | ~ spl0_60
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1652,f598,f494,f607,f1073]) ).

fof(f1695,plain,
    ( spl0_122
    | spl0_172
    | ~ spl0_44
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1310,f799,f413,f1317,f794]) ).

fof(f1697,plain,
    ( ~ c1_1(a684)
    | c0_1(a684)
    | ~ spl0_59
    | spl0_119 ),
    inference(resolution,[],[f781,f489]) ).

fof(f1700,definition,
    ( spl0_179
  <=> c1_1(a684) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1702,plain,
    ( spl0_120
    | ~ spl0_179
    | ~ spl0_59
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1697,f780,f488,f1700,f785]) ).

fof(f1703,plain,
    ( c0_1(a684)
    | c2_1(a684)
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f485]) ).

fof(f1704,plain,
    ( c1_1(a684)
    | c2_1(a684)
    | ~ spl0_44
    | ~ spl0_121 ),
    inference(resolution,[],[f790,f414]) ).

fof(f1710,plain,
    ( spl0_119
    | spl0_179
    | ~ spl0_44
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1704,f789,f413,f1700,f780]) ).

fof(f1711,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1703,f789,f484,f785,f780]) ).

fof(f1719,plain,
    ( ~ c0_1(a674)
    | ~ c2_1(a674)
    | ~ spl0_26
    | ~ spl0_138 ),
    inference(resolution,[],[f342,f870]) ).

fof(f1727,plain,
    ( ~ spl0_176
    | ~ spl0_139
    | ~ spl0_26
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1719,f869,f341,f873,f1426]) ).

fof(f1733,plain,
    ( c2_1(a683)
    | ~ c0_1(a683)
    | ~ spl0_36
    | ~ spl0_123 ),
    inference(resolution,[],[f379,f800]) ).

fof(f1738,plain,
    ( ~ spl0_124
    | spl0_122
    | ~ spl0_36
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1733,f799,f378,f794,f803]) ).

fof(f1741,plain,
    ( spl0_27
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1009,f360,f341,f345]) ).

fof(f1743,plain,
    ( ~ spl0_118
    | ~ spl0_117
    | ~ spl0_31
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1301,f766,f360,f771,f775]) ).

fof(f1744,plain,
    ( spl0_27
    | ~ spl0_25
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1157,f360,f337,f345]) ).

fof(f1746,plain,
    ( ~ spl0_115
    | spl0_166
    | ~ spl0_38
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1093,f757,f386,f1087,f761]) ).

fof(f1747,plain,
    ( ~ spl0_109
    | spl0_107
    | ~ spl0_39
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1057,f729,f390,f724,f733]) ).

fof(f1749,plain,
    ( spl0_27
    | ~ spl0_25
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1403,f398,f337,f345]) ).

fof(f1753,plain,
    ( ~ spl0_134
    | ~ spl0_136
    | ~ spl0_25
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1676,f855,f337,f859,f850]) ).

fof(f1785,plain,
    ( ~ c1_1(a668)
    | ~ c0_1(a668)
    | ~ spl0_31
    | spl0_155 ),
    inference(resolution,[],[f361,f949]) ).

fof(f1794,plain,
    ( ~ spl0_174
    | ~ spl0_157
    | ~ spl0_31
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1785,f948,f360,f957,f1361]) ).

fof(f1834,plain,
    ( ~ c2_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_41
    | spl0_83 ),
    inference(resolution,[],[f399,f613]) ).

fof(f1838,plain,
    ( ~ spl0_85
    | ~ spl0_170
    | ~ spl0_41
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1834,f612,f398,f1244,f621]) ).

fof(f1845,plain,
    ( ~ c0_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(resolution,[],[f418,f856]) ).

fof(f1856,plain,
    ( ~ spl0_136
    | ~ spl0_178
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1845,f855,f417,f1667,f859]) ).

fof(f1860,plain,
    ( ~ c0_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_26
    | ~ spl0_108 ),
    inference(resolution,[],[f730,f342]) ).

fof(f1862,plain,
    ( ~ spl0_109
    | ~ spl0_164
    | ~ spl0_26
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1860,f729,f341,f1049,f733]) ).

fof(f1863,plain,
    ( c1_1(a702)
    | ~ c0_1(a702)
    | ~ spl0_38
    | ~ spl0_109 ),
    inference(resolution,[],[f734,f387]) ).

fof(f1866,plain,
    ( ~ spl0_164
    | spl0_107
    | ~ spl0_38
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1863,f733,f386,f724,f1049]) ).

fof(f1871,plain,
    ( c0_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(resolution,[],[f446,f856]) ).

fof(f1872,plain,
    ( c0_1(a679)
    | ~ c1_1(a679)
    | ~ spl0_51
    | ~ spl0_132 ),
    inference(resolution,[],[f446,f842]) ).

fof(f1875,plain,
    ( c0_1(a684)
    | ~ c1_1(a684)
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(resolution,[],[f446,f790]) ).

fof(f1880,plain,
    ( ~ spl0_179
    | spl0_120
    | ~ spl0_51
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1875,f789,f445,f785,f1700]) ).

fof(f1881,plain,
    ( ~ spl0_133
    | spl0_131
    | ~ spl0_51
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1872,f841,f445,f836,f845]) ).

fof(f1882,plain,
    ( ~ spl0_136
    | spl0_178
    | ~ spl0_51
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1871,f855,f445,f1667,f859]) ).

fof(f1891,plain,
    ( c0_1(a684)
    | c1_1(a684)
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(resolution,[],[f501,f790]) ).

fof(f1892,plain,
    ( c0_1(a702)
    | c1_1(a702)
    | ~ spl0_61
    | ~ spl0_108 ),
    inference(resolution,[],[f501,f730]) ).

fof(f1899,plain,
    ( spl0_107
    | spl0_164
    | ~ spl0_61
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1892,f729,f500,f1049,f724]) ).

fof(f1900,plain,
    ( spl0_179
    | spl0_120
    | ~ spl0_61
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1891,f789,f500,f785,f1700]) ).

fof(f1904,plain,
    ( c0_1(a680)
    | c1_1(a680)
    | ~ spl0_62
    | ~ spl0_130 ),
    inference(resolution,[],[f508,f832]) ).

fof(f1905,plain,
    ( c0_1(a681)
    | c1_1(a681)
    | ~ spl0_62
    | ~ spl0_127 ),
    inference(resolution,[],[f508,f818]) ).

fof(f1906,plain,
    ( c0_1(a700)
    | c1_1(a700)
    | ~ spl0_62
    | ~ spl0_112 ),
    inference(resolution,[],[f508,f748]) ).

fof(f1907,plain,
    ( c0_1(a702)
    | c1_1(a702)
    | ~ spl0_62
    | ~ spl0_109 ),
    inference(resolution,[],[f508,f734]) ).

fof(f1912,plain,
    ( spl0_107
    | spl0_164
    | ~ spl0_62
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1907,f733,f507,f1049,f724]) ).

fof(f1913,plain,
    ( spl0_167
    | spl0_111
    | ~ spl0_62
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1906,f747,f507,f743,f1138]) ).

fof(f1914,plain,
    ( spl0_168
    | spl0_125
    | ~ spl0_62
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1905,f817,f507,f808,f1162]) ).

fof(f1915,plain,
    ( spl0_129
    | spl0_177
    | ~ spl0_62
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1904,f831,f507,f1461,f827]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s3,plain,
    ( spl0_4
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s6,plain,
    ( spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s8,plain,
    ( spl0_19
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s9,plain,
    ( spl0_14
    | spl0_17
    | spl0_21 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s11,plain,
    ( spl0_7
    | spl0_23
    | ~ spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s12,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s13,plain,
    ( spl0_1
    | spl0_19
    | ~ spl0_24
    | spl0_27 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s15,plain,
    ( spl0_13
    | ~ spl0_24
    | spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s16,plain,
    ( spl0_11
    | ~ spl0_24
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s17,plain,
    ( ~ spl0_24
    | spl0_30
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s18,plain,
    ( spl0_21
    | ~ spl0_24
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s20,plain,
    ( spl0_1
    | ~ spl0_24
    | spl0_26
    | spl0_37 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s21,plain,
    ( spl0_11
    | spl0_20
    | ~ spl0_24
    | spl0_38 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s24,plain,
    ( ~ spl0_24
    | spl0_36
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s25,plain,
    ( spl0_18
    | ~ spl0_24
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s26,plain,
    ( spl0_8
    | ~ spl0_24
    | spl0_35
    | spl0_42 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s28,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_31
    | spl0_42 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s29,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s31,plain,
    ( spl0_7
    | ~ spl0_24
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s32,plain,
    ( ~ spl0_24
    | spl0_29
    | spl0_34
    | spl0_44 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s36,plain,
    ( spl0_18
    | ~ spl0_24
    | spl0_43
    | spl0_46 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s42,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_41
    | spl0_51 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s43,plain,
    ( spl0_7
    | ~ spl0_24
    | spl0_31
    | spl0_51 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s45,plain,
    ( ~ spl0_24
    | spl0_35
    | spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s46,plain,
    ( ~ spl0_24
    | spl0_31
    | spl0_34
    | spl0_53 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s47,plain,
    ( ~ spl0_24
    | spl0_53
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s50,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_50
    | spl0_53 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s52,plain,
    ( ~ spl0_24
    | spl0_34
    | spl0_37
    | spl0_56 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s55,plain,
    ( spl0_15
    | ~ spl0_24
    | spl0_36
    | spl0_57 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s56,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_54
    | spl0_57 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s59,plain,
    ( spl0_3
    | ~ spl0_24
    | spl0_36
    | spl0_58 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s60,plain,
    ( ~ spl0_24
    | spl0_26
    | spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s61,plain,
    ( ~ spl0_24
    | spl0_38
    | spl0_50
    | spl0_59 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s62,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_51
    | spl0_59 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s63,plain,
    ( spl0_18
    | spl0_19
    | ~ spl0_24
    | spl0_60 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s64,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_24
    | spl0_60 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s65,plain,
    ( ~ spl0_24
    | spl0_47
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s66,plain,
    ( spl0_15
    | ~ spl0_24
    | spl0_25
    | spl0_61 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s67,plain,
    ( ~ spl0_24
    | spl0_26
    | spl0_54
    | spl0_61 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s68,plain,
    ( spl0_14
    | ~ spl0_24
    | spl0_39
    | spl0_61 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s69,plain,
    ( ~ spl0_24
    | spl0_36
    | spl0_51
    | spl0_61 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s71,plain,
    ( spl0_5
    | spl0_19
    | ~ spl0_24
    | spl0_62 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s72,plain,
    ( spl0_21
    | ~ spl0_24
    | spl0_26
    | spl0_62 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s73,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_42
    | spl0_62 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s74,plain,
    ( spl0_1
    | ~ spl0_24
    | spl0_44
    | spl0_62 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s75,plain,
    ( spl0_22
    | ~ spl0_24
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s81,plain,
    ( ~ spl0_17
    | spl0_65 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s82,plain,
    ( ~ spl0_17
    | spl0_66 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s83,plain,
    ( ~ spl0_17
    | spl0_67 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s85,plain,
    ( ~ spl0_8
    | spl0_68 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s86,plain,
    ( ~ spl0_8
    | spl0_69 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s87,plain,
    ( ~ spl0_8
    | spl0_70 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s89,plain,
    ( ~ spl0_21
    | spl0_71 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s90,plain,
    ( ~ spl0_21
    | spl0_72 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s91,plain,
    ( ~ spl0_21
    | spl0_73 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s93,plain,
    ( ~ spl0_22
    | spl0_74 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s94,plain,
    ( ~ spl0_22
    | spl0_75 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s95,plain,
    ( ~ spl0_22
    | spl0_76 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s97,plain,
    ( ~ spl0_16
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s98,plain,
    ( ~ spl0_16
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s99,plain,
    ( ~ spl0_16
    | spl0_79 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s101,plain,
    ( ~ spl0_2
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s102,plain,
    ( ~ spl0_2
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s103,plain,
    ( ~ spl0_2
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s104,plain,
    ( ~ spl0_2
    | spl0_24 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s105,plain,
    ( ~ spl0_11
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s106,plain,
    ( ~ spl0_11
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s107,plain,
    ( ~ spl0_11
    | spl0_85 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s109,plain,
    ( ~ spl0_23
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s110,plain,
    ( ~ spl0_23
    | spl0_87 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s111,plain,
    ( ~ spl0_23
    | spl0_88 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s113,plain,
    ( ~ spl0_6
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s114,plain,
    ( ~ spl0_6
    | spl0_90 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s115,plain,
    ( ~ spl0_6
    | spl0_91 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s117,plain,
    ( ~ spl0_13
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s118,plain,
    ( ~ spl0_13
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s119,plain,
    ( ~ spl0_13
    | spl0_94 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s121,plain,
    ( ~ spl0_43
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s122,plain,
    ( ~ spl0_43
    | spl0_96 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s123,plain,
    ( ~ spl0_43
    | spl0_97 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s125,plain,
    ( ~ spl0_20
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s126,plain,
    ( ~ spl0_20
    | spl0_99 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s127,plain,
    ( ~ spl0_20
    | spl0_100 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s133,plain,
    ( ~ spl0_32
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s134,plain,
    ( ~ spl0_32
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s135,plain,
    ( ~ spl0_32
    | spl0_106 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s137,plain,
    ( ~ spl0_7
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s138,plain,
    ( ~ spl0_7
    | spl0_108 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s139,plain,
    ( ~ spl0_7
    | spl0_109 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s141,plain,
    ( ~ spl0_35
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s142,plain,
    ( ~ spl0_35
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s143,plain,
    ( ~ spl0_35
    | spl0_112 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s145,plain,
    ( ~ spl0_30
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s146,plain,
    ( ~ spl0_30
    | spl0_114 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s147,plain,
    ( ~ spl0_30
    | spl0_115 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s149,plain,
    ( ~ spl0_18
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s150,plain,
    ( ~ spl0_18
    | spl0_117 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s151,plain,
    ( ~ spl0_18
    | spl0_118 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s153,plain,
    ( ~ spl0_15
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s154,plain,
    ( ~ spl0_15
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s155,plain,
    ( ~ spl0_15
    | spl0_121 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s157,plain,
    ( ~ spl0_14
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s158,plain,
    ( ~ spl0_14
    | spl0_123 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s159,plain,
    ( ~ spl0_14
    | spl0_124 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s161,plain,
    ( ~ spl0_34
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s162,plain,
    ( ~ spl0_34
    | spl0_126 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s163,plain,
    ( ~ spl0_34
    | spl0_127 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s165,plain,
    ( ~ spl0_19
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s166,plain,
    ( ~ spl0_19
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s167,plain,
    ( ~ spl0_19
    | spl0_130 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s169,plain,
    ( ~ spl0_5
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s170,plain,
    ( ~ spl0_5
    | spl0_132 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s171,plain,
    ( ~ spl0_5
    | spl0_133 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s173,plain,
    ( ~ spl0_3
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s174,plain,
    ( ~ spl0_3
    | spl0_135 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s175,plain,
    ( ~ spl0_3
    | spl0_136 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s176,plain,
    ( ~ spl0_3
    | spl0_24 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s177,plain,
    ( ~ spl0_47
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s178,plain,
    ( ~ spl0_47
    | spl0_138 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s179,plain,
    ( ~ spl0_47
    | spl0_139 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s181,plain,
    ( ~ spl0_1
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s182,plain,
    ( ~ spl0_1
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s183,plain,
    ( ~ spl0_1
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s184,plain,
    ( ~ spl0_1
    | spl0_24 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s201,plain,
    ( ~ spl0_4
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s202,plain,
    ( ~ spl0_4
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s203,plain,
    ( ~ spl0_4
    | spl0_157 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s205,plain,
    ( ~ spl0_25
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s208,plain,
    ( ~ spl0_26
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s209,plain,
    ( ~ spl0_26
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s213,plain,
    ( ~ spl0_27
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s214,plain,
    ( ~ spl0_27
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s215,plain,
    ( ~ spl0_31
    | spl0_89
    | ~ spl0_91
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s217,plain,
    ( ~ spl0_33
    | ~ spl0_71
    | ~ spl0_72
    | spl0_158 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s218,plain,
    ( ~ spl0_31
    | ~ spl0_33
    | spl0_54 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s219,plain,
    ( ~ spl0_36
    | ~ spl0_71
    | ~ spl0_73
    | spl0_158 ),
    inference(sat_conversion,[],[f1031]) ).

cnf(s222,plain,
    ( ~ spl0_38
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s225,plain,
    ( ~ spl0_39
    | ~ spl0_65
    | ~ spl0_66
    | spl0_159 ),
    inference(sat_conversion,[],[f1063]) ).

cnf(s227,plain,
    ( ~ spl0_40
    | spl0_80
    | spl0_81
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s230,plain,
    ( ~ spl0_42
    | spl0_113
    | ~ spl0_115
    | spl0_166 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s243,plain,
    ( ~ spl0_25
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s244,plain,
    ( ~ spl0_25
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f1159]) ).

cnf(s245,plain,
    ( ~ spl0_25
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1164]) ).

cnf(s252,plain,
    ( ~ spl0_50
    | ~ spl0_68
    | ~ spl0_69
    | spl0_160 ),
    inference(sat_conversion,[],[f1205]) ).

cnf(s254,plain,
    ( ~ spl0_50
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s259,plain,
    ( ~ spl0_53
    | ~ spl0_90
    | ~ spl0_91
    | spl0_161 ),
    inference(sat_conversion,[],[f1236]) ).

cnf(s265,plain,
    ( ~ spl0_54
    | ~ spl0_72
    | ~ spl0_73
    | spl0_158 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s267,plain,
    ( ~ spl0_55
    | spl0_83
    | ~ spl0_85
    | spl0_170 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s268,plain,
    ( ~ spl0_55
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1294]) ).

cnf(s278,plain,
    ( ~ spl0_27
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s279,plain,
    ( ~ spl0_54
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1339]) ).

cnf(s280,plain,
    ( ~ spl0_54
    | spl0_122
    | ~ spl0_124
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s282,plain,
    ( ~ spl0_38
    | ~ spl0_66
    | ~ spl0_67
    | spl0_159 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s297,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s300,plain,
    ( ~ spl0_46
    | spl0_93
    | ~ spl0_94
    | spl0_162 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s303,plain,
    ( ~ spl0_44
    | spl0_137
    | ~ spl0_138
    | spl0_176 ),
    inference(sat_conversion,[],[f1429]) ).

cnf(s305,plain,
    ( ~ spl0_53
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s306,plain,
    ( ~ spl0_53
    | spl0_111
    | ~ spl0_112
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s314,plain,
    ( ~ spl0_27
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s316,plain,
    ( ~ spl0_41
    | spl0_128
    | ~ spl0_130
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s318,plain,
    ( ~ spl0_40
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s323,plain,
    ( ~ spl0_42
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s328,plain,
    ( ~ spl0_29
    | spl0_110
    | ~ spl0_112
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s331,plain,
    ( ~ spl0_56
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1546]) ).

cnf(s335,plain,
    ( ~ spl0_37
    | spl0_92
    | spl0_93
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s338,plain,
    ( ~ spl0_37
    | spl0_155
    | spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s340,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | spl0_54 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s341,plain,
    ( ~ spl0_57
    | spl0_77
    | spl0_78
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s342,plain,
    ( ~ spl0_57
    | spl0_89
    | ~ spl0_91
    | spl0_161 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s344,plain,
    ( ~ spl0_57
    | spl0_155
    | ~ spl0_157
    | spl0_174 ),
    inference(sat_conversion,[],[f1604]) ).

cnf(s347,plain,
    ( ~ spl0_57
    | ~ spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s349,plain,
    ( ~ spl0_59
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s351,plain,
    ( ~ spl0_59
    | spl0_156
    | ~ spl0_157
    | spl0_174 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s357,plain,
    ( ~ spl0_59
    | spl0_134
    | ~ spl0_136
    | spl0_178 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s360,plain,
    ( ~ spl0_33
    | spl0_134
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s361,plain,
    ( ~ spl0_36
    | spl0_134
    | ~ spl0_135
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1682]) ).

cnf(s366,plain,
    ( ~ spl0_41
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s368,plain,
    ( ~ spl0_26
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s372,plain,
    ( ~ spl0_60
    | spl0_155
    | spl0_156
    | spl0_174 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s373,plain,
    ( ~ spl0_60
    | spl0_140
    | spl0_141
    | spl0_142 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s374,plain,
    ( ~ spl0_60
    | spl0_80
    | spl0_82
    | spl0_165 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s375,plain,
    ( ~ spl0_44
    | spl0_122
    | ~ spl0_123
    | spl0_172 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s377,plain,
    ( ~ spl0_59
    | spl0_119
    | spl0_120
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s379,plain,
    ( ~ spl0_44
    | spl0_119
    | ~ spl0_121
    | spl0_179 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s380,plain,
    ( ~ spl0_58
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1711]) ).

cnf(s382,plain,
    ( ~ spl0_26
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s384,plain,
    ( ~ spl0_36
    | spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s387,plain,
    ( ~ spl0_26
    | spl0_27
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1741]) ).

cnf(s390,plain,
    ( ~ spl0_31
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s391,plain,
    ( ~ spl0_25
    | spl0_27
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s393,plain,
    ( ~ spl0_38
    | ~ spl0_114
    | ~ spl0_115
    | spl0_166 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s394,plain,
    ( ~ spl0_39
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s396,plain,
    ( ~ spl0_25
    | spl0_27
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s400,plain,
    ( ~ spl0_25
    | ~ spl0_134
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1753]) ).

cnf(s412,plain,
    ( ~ spl0_31
    | spl0_155
    | ~ spl0_157
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s425,plain,
    ( ~ spl0_41
    | spl0_83
    | ~ spl0_85
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s430,plain,
    ( ~ spl0_45
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s434,plain,
    ( ~ spl0_26
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s435,plain,
    ( ~ spl0_38
    | spl0_107
    | ~ spl0_109
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1866]) ).

cnf(s436,plain,
    ( ~ spl0_51
    | spl0_120
    | ~ spl0_121
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s437,plain,
    ( ~ spl0_51
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s438,plain,
    ( ~ spl0_51
    | ~ spl0_135
    | ~ spl0_136
    | spl0_178 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s441,plain,
    ( ~ spl0_61
    | spl0_107
    | ~ spl0_108
    | spl0_164 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s442,plain,
    ( ~ spl0_61
    | spl0_120
    | ~ spl0_121
    | spl0_179 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s447,plain,
    ( ~ spl0_62
    | spl0_107
    | ~ spl0_109
    | spl0_164 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s448,plain,
    ( ~ spl0_62
    | spl0_111
    | ~ spl0_112
    | spl0_167 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s449,plain,
    ( ~ spl0_62
    | spl0_125
    | ~ spl0_127
    | spl0_168 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s450,plain,
    ( ~ spl0_62
    | spl0_129
    | ~ spl0_130
    | spl0_177 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s452,plain,
    ( ~ spl0_11
    | ~ spl0_42 ),
    inference(rat,[],[s323,s105,s106,s107]) ).

cnf(s453,plain,
    ( spl0_7
    | ~ spl0_6
    | spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s305,s125,s126,s127,s21,s452,s28,s215,s259,s50,s222,s252,s109,s110,s111,s209,s11,s12,s244,s85,s86,s87,s3,s115,s114,s113]) ).

cnf(s454,plain,
    ( ~ spl0_34
    | ~ spl0_25
    | ~ spl0_62 ),
    inference(rat,[],[s449,s245,s161,s162,s163]) ).

cnf(s455,plain,
    ( spl0_27
    | spl0_36
    | ~ spl0_25
    | ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s318,s165,s166,s167,s24,s13,s396]) ).

cnf(s456,plain,
    ( ~ spl0_62
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s214,s342,s455,s56,s265,s205,s89,s90,s91,s18,s454,s361,s357,s60,s12,s434,s447,s176,s360,s173,s174,s175,s394]) ).

cnf(s457,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s384,s157,s158,s159,s68,s441,s434,s60,s357,s361,s24,s366,s145,s146,s147,s16,s390,s149,s150,s151,s25,s318,s165,s166,s167,s452,s71,s73,s456,s394,s137,s138,s139,s453,s113,s114,s115,s2,s176,s360,s173,s174,s175]) ).

cnf(s458,plain,
    ( ~ spl0_90
    | ~ spl0_53
    | ~ spl0_27
    | ~ spl0_91 ),
    inference(rat,[],[s259,s214]) ).

cnf(s459,plain,
    ( ~ spl0_19
    | ~ spl0_40 ),
    inference(rat,[],[s318,s165,s166,s167]) ).

cnf(s460,plain,
    ( ~ spl0_32
    | ~ spl0_59 ),
    inference(rat,[],[s349,s133,s134,s135]) ).

cnf(s461,plain,
    ( spl0_32
    | spl0_51
    | ~ spl0_3 ),
    inference(rat,[],[s366,s145,s146,s147,s17,s42,s176,s360,s173,s174,s175]) ).

cnf(s462,plain,
    ( ~ spl0_8
    | ~ spl0_25 ),
    inference(rat,[],[s244,s85,s86,s87]) ).

cnf(s463,plain,
    ( spl0_61
    | spl0_39
    | spl0_51
    | ~ spl0_24 ),
    inference(rat,[],[s384,s157,s158,s159,s69,s68]) ).

cnf(s464,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s441,s434,s60,s463,s394,s137,s138,s139,s3,s462,s62,s460,s461,s437,s169,s170,s171,s457,s176]) ).

cnf(s465,plain,
    ( ~ spl0_59
    | spl0_25
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s13,s459,s314,s24,s230,s366,s28,s145,s146,s147,s412,s17,s361,s351,s460,s357,s176,s360,s173,s174,s175,s203,s202,s201,s464]) ).

cnf(s466,plain,
    ( spl0_42
    | spl0_25
    | spl0_155
    | spl0_156
    | ~ spl0_157
    | ~ spl0_24 ),
    inference(rat,[],[s390,s149,s150,s151,s63,s372,s412,s459,s28,s29]) ).

cnf(s467,plain,
    ( spl0_38
    | spl0_11
    | spl0_45
    | spl0_59
    | spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s254,s161,s162,s163,s52,s331,s141,s142,s143,s45,s305,s125,s126,s127,s61,s21]) ).

cnf(s468,plain,
    ( ~ spl0_23
    | ~ spl0_38 ),
    inference(rat,[],[s222,s109,s110,s111]) ).

cnf(s469,plain,
    ( spl0_25
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s379,s436,s153,s154,s155,s74,s66,s447,s441,s434,s137,s138,s139,s11,s468,s467,s452,s466,s430,s438,s62,s465,s175,s174,s20,s338,s201,s202,s203,s464,s176]) ).

cnf(s470,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_37
    | spl0_33
    | ~ spl0_24 ),
    inference(rat,[],[s331,s52,s141,s142,s143,s454,s26,s73,s462]) ).

cnf(s471,plain,
    ( ~ spl0_59
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s230,s314,s145,s146,s147,s455,s17,s361,s460,s357,s470,s469,s338,s201,s202,s203,s464,s360,s173,s174,s175,s176]) ).

cnf(s472,plain,
    ( ~ spl0_47
    | ~ spl0_44
    | ~ spl0_26 ),
    inference(rat,[],[s303,s382,s177,s178,s179]) ).

cnf(s473,plain,
    ( ~ spl0_30
    | ~ spl0_38
    | ~ spl0_27 ),
    inference(rat,[],[s393,s314,s146,s147]) ).

cnf(s474,plain,
    ( ~ spl0_178
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s434,s447,s137,s138,s139,s74,s31,s472,s65,s372,s412,s16,s473,s467,s455,s430,s361,s20,s452,s470,s469,s338,s201,s202,s203,s464,s360,s173,s174,s175,s176,s471]) ).

cnf(s475,plain,
    ( ~ spl0_31
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s265,s278,s90,s91,s18,s454,s74,s472,s56,s65,s344,s372,s412,s391,s360,s173,s174,s175,s20,s338,s201,s202,s203,s464,s176,s469,s471]) ).

cnf(s476,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s463,s441,s394,s434,s137,s138,s139,s43,s475,s438,s474,s20,s338,s201,s202,s203,s464,s174,s175,s176]) ).

cnf(s477,plain,
    ( spl0_42
    | spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s390,s149,s150,s151,s63,s374,s227,s459,s28,s29,s104,s103,s102,s101]) ).

cnf(s478,plain,
    ( spl0_7
    | spl0_4
    | spl0_11
    | spl0_25
    | ~ spl0_24 ),
    inference(rat,[],[s305,s50,s125,s126,s127,s252,s21,s209,s468,s85,s86,s11,s3,s12]) ).

cnf(s479,plain,
    ( ~ spl0_7
    | spl0_25
    | spl0_1 ),
    inference(rat,[],[s379,s436,s153,s154,s155,s74,s463,s66,s447,s441,s394,s434,s137,s138,s139,s12,s104,s1,s476]) ).

cnf(s480,plain,
    ( ~ spl0_34
    | ~ spl0_50 ),
    inference(rat,[],[s254,s161,s162,s163]) ).

cnf(s481,plain,
    ( spl0_25
    | spl0_1 ),
    inference(rat,[],[s32,s472,s297,s65,s62,s372,s351,s412,s46,s480,s50,s305,s125,s126,s127,s21,s201,s202,s203,s468,s478,s11,s479,s452,s477,s12,s104,s1,s476]) ).

cnf(s482,plain,
    ( ~ spl0_136
    | ~ spl0_135
    | ~ spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s360,s400]) ).

cnf(s483,plain,
    ( ~ spl0_21
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(rat,[],[s217,s278,s89,s90,s91]) ).

cnf(s484,plain,
    ( ~ spl0_30
    | ~ spl0_41 ),
    inference(rat,[],[s366,s145,s146,s147]) ).

cnf(s485,plain,
    ( ~ spl0_6
    | ~ spl0_53
    | ~ spl0_27 ),
    inference(rat,[],[s458,s114,s115]) ).

cnf(s486,plain,
    ( spl0_164
    | spl0_42
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s437,s169,s170,s171,s2,s485,s47,s267,s425,s105,s107,s16,s484,s24,s227,s374,s64,s483,s218,s280,s455,s375,s384,s157,s158,s159,s73,s74,s463,s68,s447,s441,s104,s103,s102,s101,s1,s476,s394,s137,s138,s139,s3,s462,s481]) ).

cnf(s488,plain,
    ( ~ spl0_62
    | spl0_31
    | ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s306,s46,s448,s454,s104,s1,s476,s481,s143,s142]) ).

cnf(s489,plain,
    ( spl0_62
    | spl0_26
    | spl0_42
    | spl0_1 ),
    inference(rat,[],[s217,s205,s89,s90,s72,s73,s104,s1,s476,s481]) ).

cnf(s490,plain,
    ( ~ spl0_18
    | ~ spl0_31 ),
    inference(rat,[],[s390,s149,s150,s151]) ).

cnf(s491,plain,
    ( spl0_42
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s279,s121,s122,s123,s36,s490,s47,s300,s268,s335,s117,s118,s119,s15,s328,s306,s488,s448,s489,s20,s434,s486,s141,s142,s143,s26,s104,s1,s476,s139,s138,s3,s462,s481]) ).

cnf(s492,plain,
    ( ~ spl0_30
    | ~ spl0_27
    | ~ spl0_42 ),
    inference(rat,[],[s230,s314,s145,s146,s147]) ).

cnf(s493,plain,
    ( spl0_164
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s347,s460,s56,s17,s218,s16,s492,s280,s455,s59,s375,s384,s157,s158,s159,s74,s68,s447,s441,s104,s1,s476,s394,s137,s138,s139,s3,s462,s481,s452,s491]) ).

cnf(s494,plain,
    ( spl0_31
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s205,s265,s89,s90,s91,s340,s72,s455,s454,s492,s46,s16,s20,s434,s138,s305,s126,s127,s125,s21,s435,s493,s139,s137,s3,s462,s481,s452,s491,s104,s1,s476]) ).

cnf(s495,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s374,s63,s227,s459,s25,s490,s494,s394,s137,s138,s139,s3,s104,s103,s102,s101,s1,s476,s462,s481]) ).

cnf(s496,plain,
    ( ~ spl0_15
    | ~ spl0_58 ),
    inference(rat,[],[s380,s153,s154,s155]) ).

cnf(s498,plain,
    ( ~ spl0_17
    | ~ spl0_26 ),
    inference(rat,[],[s368,s81,s82,s83]) ).

cnf(s499,plain,
    ( spl0_36
    | spl0_1 ),
    inference(rat,[],[s341,s97,s98,s99,s6,s55,s496,s59,s498,s20,s338,s203,s202,s201,s495,s104,s1,s476]) ).

cnf(s500,plain,
    ( ~ spl0_14
    | ~ spl0_36 ),
    inference(rat,[],[s384,s157,s158,s159]) ).

cnf(s501,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s219,s205,s89,s90,s91,s9,s500,s499,s498,s20,s338,s201,s202,s203,s495,s481,s104,s1]) ).

cnf(s502,plain,
    spl0_1,
    inference(rat,[],[s501,s476]) ).

cnf(s503,plain,
    spl0_24,
    inference(rat,[],[s184,s502]) ).

cnf(s504,plain,
    ~ spl0_142,
    inference(rat,[],[s183,s502]) ).

cnf(s505,plain,
    ~ spl0_141,
    inference(rat,[],[s182,s502]) ).

cnf(s506,plain,
    ~ spl0_140,
    inference(rat,[],[s181,s502]) ).

cnf(s507,plain,
    ~ spl0_60,
    inference(rat,[],[s373,s504,s505,s506]) ).

cnf(s508,plain,
    ( spl0_15
    | spl0_17
    | spl0_36 ),
    inference(rat,[],[s341,s97,s98,s99,s6,s55,s503]) ).

cnf(s509,plain,
    ( ~ spl0_44
    | spl0_119
    | spl0_120
    | ~ spl0_121
    | ~ spl0_26 ),
    inference(rat,[],[s377,s65,s379,s472,s503,s507]) ).

cnf(s510,plain,
    ( spl0_42
    | spl0_44
    | spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s328,s32,s448,s454,s141,s142,s143,s73,s26,s462,s503]) ).

cnf(s511,plain,
    ( spl0_31
    | spl0_62
    | spl0_11
    | ~ spl0_26
    | spl0_36 ),
    inference(rat,[],[s434,s441,s137,s138,s139,s69,s43,s437,s169,s170,s171,s71,s459,s24,s484,s16,s503]) ).

cnf(s512,plain,
    ( ~ spl0_22
    | ~ spl0_27 ),
    inference(rat,[],[s213,s93,s94,s95]) ).

cnf(s513,plain,
    ( spl0_62
    | ~ spl0_26
    | spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s75,s460,s512,s17,s492,s391,s511,s452,s510,s509,s153,s154,s155,s482,s174,s175,s59,s496,s508,s498,s503]) ).

cnf(s515,plain,
    ( spl0_7
    | spl0_31
    | spl0_44
    | ~ spl0_135
    | ~ spl0_136 ),
    inference(rat,[],[s438,s430,s43,s31,s503]) ).

cnf(s516,plain,
    ( ~ spl0_7
    | ~ spl0_62
    | ~ spl0_26 ),
    inference(rat,[],[s447,s434,s137,s138,s139]) ).

cnf(s517,plain,
    ( ~ spl0_26
    | spl0_36
    | ~ spl0_157
    | ~ spl0_25 ),
    inference(rat,[],[s344,s412,s201,s515,s3,s516,s56,s265,s205,s89,s90,s91,s18,s454,s513,s509,s482,s174,s175,s59,s496,s153,s154,s155,s508,s498,s462,s503]) ).

cnf(s518,plain,
    ( spl0_31
    | spl0_11
    | spl0_62
    | spl0_26
    | spl0_36 ),
    inference(rat,[],[s394,s60,s137,s138,s139,s460,s43,s42,s437,s169,s170,s171,s71,s459,s24,s484,s16,s503]) ).

cnf(s519,plain,
    ( spl0_62
    | spl0_26
    | spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s460,s75,s17,s512,s492,s391,s518,s452,s73,s217,s205,s89,s90,s72,s503]) ).

cnf(s520,plain,
    ( ~ spl0_35
    | ~ spl0_53
    | ~ spl0_62 ),
    inference(rat,[],[s306,s448,s142,s143]) ).

cnf(s521,plain,
    ( ~ spl0_20
    | ~ spl0_53 ),
    inference(rat,[],[s305,s125,s126,s127]) ).

cnf(s522,plain,
    ( ~ spl0_17
    | ~ spl0_38
    | ~ spl0_25 ),
    inference(rat,[],[s243,s282,s81,s82,s83]) ).

cnf(s523,plain,
    ( spl0_31
    | spl0_26
    | spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s394,s137,s138,s139,s60,s43,s377,s436,s442,s153,s154,s155,s508,s522,s67,s265,s205,s89,s90,s91,s21,s8,s521,s459,s24,s484,s16,s452,s26,s520,s46,s462,s454,s519,s503]) ).

cnf(s524,plain,
    ( spl0_26
    | spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s316,s24,s450,s459,s165,s166,s167,s63,s490,s523,s519,s507,s503]) ).

cnf(s525,plain,
    ( spl0_36
    | ~ spl0_157
    | ~ spl0_25 ),
    inference(rat,[],[s524,s517]) ).

cnf(s526,plain,
    ( ~ spl0_21
    | ~ spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s219,s205,s89,s90,s91]) ).

cnf(s527,plain,
    ( ~ spl0_36
    | ~ spl0_25 ),
    inference(rat,[],[s60,s357,s225,s243,s361,s498,s81,s82,s173,s174,s175,s9,s64,s526,s500,s503,s507]) ).

cnf(s528,plain,
    ~ spl0_25,
    inference(rat,[],[s516,s3,s513,s203,s524,s525,s527,s462]) ).

cnf(s529,plain,
    spl0_26,
    inference(rat,[],[s12,s503,s528]) ).

cnf(s530,plain,
    ~ spl0_17,
    inference(rat,[],[s498,s529]) ).

cnf(s531,plain,
    ( spl0_62
    | spl0_36 ),
    inference(rat,[],[s460,s17,s75,s492,s512,s387,s511,s452,s73,s360,s173,s175,s174,s59,s496,s508,s503,s529,s530]) ).

cnf(s532,plain,
    spl0_36,
    inference(rat,[],[s62,s357,s438,s430,s31,s516,s531,s173,s174,s175,s59,s509,s496,s153,s154,s155,s508,s503,s528,s529,s530]) ).

cnf(s533,plain,
    ~ spl0_14,
    inference(rat,[],[s500,s532]) ).

cnf(s534,plain,
    spl0_21,
    inference(rat,[],[s9,s530,s533]) ).

cnf(s535,plain,
    spl0_73,
    inference(rat,[],[s91,s534]) ).

cnf(s537,plain,
    spl0_71,
    inference(rat,[],[s89,s534]) ).

cnf(s538,plain,
    ~ spl0_158,
    inference(rat,[],[s208,s529,s535,s537]) ).

cnf(s539,plain,
    $false,
    inference(rat,[],[s219,s532,s535,s537,s538]) ).

fof(f1917,plain,
    $false,
    inference(avatar_sat_refutation,[],[s539]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN511+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n008.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:21:24 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.53/1.16  % (2374121)Detected formulas, will run a generic FOF schedule.
% 1.53/1.16  % (2374258)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1631098755:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.53/1.16  % (2374258)Instruction limit reached! 
% 1.53/1.16  % (2374258)------------------------------
% 1.53/1.16  % (2374258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.53/1.16  % (2374258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/1.16  % (2374258)CaDiCaL version: 2.1.3
% 1.53/1.16  % (2374258)Termination reason: Instruction limit
% 1.53/1.16  % (2374258)Termination phase: Saturation
% 1.53/1.16  % (2374258)Time elapsed: 0.032 s
% 1.53/1.16  % (2374258)Peak memory usage: 88 MB
% 1.53/1.16  % (2374258)Instructions burned: 123 (million)
% 1.53/1.16  % (2374257)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=700121351:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.53/1.16  % (2374254)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=1314976075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.53/1.16  % (2374256)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=2095214908:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.53/1.16  % (2374260)dis-21_1_sil=8000:lcm=predicate:random_seed=3550471794: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)
% 1.53/1.16  % (2374259)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2471198546:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.53/1.16  % (2374255)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=1169958273:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.53/1.16  % (2374260)First to succeed.
% 1.53/1.16  % (2374260)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2374121"
% 1.53/1.16  % (2374257)Also succeeded, but the first one will report.
% 1.53/1.16  % (2374259)Also succeeded, but the first one will report.
% 1.53/1.16  % (2374265)lrs+10_1_sil=8000:sp=occurrence:random_seed=2107131115:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.53/1.16  % (2374265)Also succeeded, but the first one will report.
% 1.53/1.16  % (2374260)Refutation found. Thanks to Tanya!
% 1.53/1.16  % SZS status Theorem for theBenchmark
% 1.53/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30  % (2374260)------------------------------
% 0.20/1.30  % (2374260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30  % (2374260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30  % (2374260)CaDiCaL version: 2.1.3
% 0.20/1.30  % (2374260)Termination reason: Refutation
% 0.20/1.30  % (2374260)Time elapsed: 0.033 s
% 0.20/1.30  % (2374260)Peak memory usage: 90 MB
% 0.20/1.30  % (2374260)Instructions burned: 56 (million)
% 0.20/1.30  % (2374260)------------------------------
% 0.20/1.30  % (2374260)------------------------------
% 0.20/1.30  % (2374121)Success in time 0.482 s
% 0.20/1.30  % Vampire exiting
%------------------------------------------------------------------------------