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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN498+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:58:01 PM UTC 2026

% Result   : Theorem 2.30s 1.20s
% Output   : Refutation 4.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1)
          & c2_1(a1)
          & ~ c3_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a2)
          & ~ c2_1(a2)
          & ~ c3_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a3)
          & c3_1(a3)
          & ~ c2_1(a3) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a7)
          & c3_1(a7)
          & ~ c2_1(a7) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a9)
          & ~ c2_1(a9)
          & ~ c3_1(a9) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a11)
          & ~ c1_1(a11)
          & ~ c2_1(a11) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a13)
          & ~ c1_1(a13)
          & ~ c3_1(a13) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a14)
          & ~ c0_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a16)
          & c1_1(a16)
          & ~ c3_1(a16) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a18)
          & ~ c0_1(a18)
          & ~ c1_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a19)
          & ~ c0_1(a19)
          & ~ c3_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a20)
          & ~ c1_1(a20)
          & ~ c3_1(a20) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a21)
          & c2_1(a21)
          & ~ c3_1(a21) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a22)
          & c3_1(a22)
          & ~ c0_1(a22) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a24)
          & ~ c1_1(a24)
          & ~ c2_1(a24) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a27)
          & c3_1(a27)
          & ~ c1_1(a27) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a28)
          & ~ c0_1(a28)
          & ~ c2_1(a28) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a31)
          & ~ c0_1(a31)
          & ~ c3_1(a31) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a36)
          & c3_1(a36)
          & ~ c1_1(a36) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a37)
          & c3_1(a37)
          & ~ c0_1(a37) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a38)
          & c1_1(a38)
          & ~ c2_1(a38) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a42)
          & c2_1(a42)
          & ~ c1_1(a42) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a45)
          & ~ c1_1(a45)
          & ~ c2_1(a45) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c2_1(a58)
          & ~ c0_1(a58)
          & ~ c1_1(a58) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a70)
          & ~ c1_1(a70)
          & ~ c3_1(a70) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a99)
          & c2_1(a99)
          & ~ c0_1(a99) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a12)
          & c1_1(a12)
          & c3_1(a12) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a25)
          & c2_1(a25)
          & c3_1(a25) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a35)
          & c1_1(a35)
          & c2_1(a35) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a54)
          & c2_1(a54)
          & c3_1(a54) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c3_1(X2)
              | ~ c1_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c0_1(X4)
              | ~ c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | hskp0
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp2
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c2_1(X9)
              | ~ c3_1(X9) ) )
        | hskp2 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c1_1(X11)
              | ~ c3_1(X11) ) )
        | hskp1 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp3
        | hskp0 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c2_1(X15)
              | ~ c0_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp0 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c2_1(X24) ) )
        | hskp5 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c1_1(X29) ) )
        | hskp27 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c1_1(X31)
              | ~ c3_1(X31) ) )
        | hskp6 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | hskp7
        | hskp8 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c2_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c3_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | hskp9 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | hskp6 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp10 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c3_1(X44)
              | ~ c1_1(X44)
              | ~ c2_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c0_1(X46)
              | ~ c3_1(X46) ) )
        | hskp11 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c0_1(X48)
              | ~ c1_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp13
        | hskp14 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp5
        | hskp15 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp28
        | hskp7 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) )
        | hskp16
        | hskp17 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | hskp6 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) )
        | hskp3
        | hskp18 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | hskp11
        | hskp15 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | hskp9 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | hskp29
        | hskp19 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | hskp20 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp21
        | hskp17 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | hskp21
        | hskp20 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c0_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp22
        | hskp20 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp22
        | hskp23 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp13
        | hskp18 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | ~ c2_1(X80) ) )
        | hskp18 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | hskp10
        | hskp1 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp12 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c2_1(X84) ) )
        | hskp9
        | hskp15 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | hskp30
        | hskp12 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c0_1(X87)
              | ~ c2_1(X87) ) )
        | hskp20 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp13
        | hskp24 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c3_1(X89) ) )
        | hskp4
        | hskp15 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | hskp18
        | hskp23 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp21
        | hskp4 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp22
        | hskp12 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp16
        | hskp14 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp5
        | hskp25 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp14
        | hskp17 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp24
        | hskp6 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | hskp29
        | hskp9 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c1_1(X102)
              | ~ c2_1(X102) ) )
        | hskp9 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp28
        | hskp0 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c3_1(X105) ) )
        | hskp8 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp21
        | hskp10 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c0_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | hskp6 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp7 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp19
        | hskp11 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp25 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | ~ c3_1(X114) ) )
        | hskp27
        | hskp16 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp30
        | hskp3 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp22
        | hskp0 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | hskp5
        | hskp25 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c2_1(X118)
              | ~ c3_1(X118) ) )
        | hskp3
        | hskp24 )
      & ( hskp29
        | hskp26
        | hskp14 )
      & ( hskp27
        | hskp13
        | hskp8 )
      & ( hskp21
        | hskp13
        | hskp24 )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp16
        | hskp4
        | hskp2 )
      & ( hskp5
        | hskp25
        | hskp28 )
      & ( hskp4
        | hskp28
        | hskp19 )
      & ( hskp28
        | hskp20
        | hskp1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1)
            & c2_1(a1)
            & ~ c3_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a2)
            & ~ c2_1(a2)
            & ~ c3_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a3)
            & c3_1(a3)
            & ~ c2_1(a3) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a7)
            & c3_1(a7)
            & ~ c2_1(a7) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a9)
            & ~ c2_1(a9)
            & ~ c3_1(a9) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a11)
            & ~ c1_1(a11)
            & ~ c2_1(a11) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a13)
            & ~ c1_1(a13)
            & ~ c3_1(a13) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a14)
            & ~ c0_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a16)
            & c1_1(a16)
            & ~ c3_1(a16) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a18)
            & ~ c0_1(a18)
            & ~ c1_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a19)
            & ~ c0_1(a19)
            & ~ c3_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a20)
            & ~ c1_1(a20)
            & ~ c3_1(a20) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a21)
            & c2_1(a21)
            & ~ c3_1(a21) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a22)
            & c3_1(a22)
            & ~ c0_1(a22) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a24)
            & ~ c1_1(a24)
            & ~ c2_1(a24) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a27)
            & c3_1(a27)
            & ~ c1_1(a27) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a28)
            & ~ c0_1(a28)
            & ~ c2_1(a28) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a31)
            & ~ c0_1(a31)
            & ~ c3_1(a31) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a36)
            & c3_1(a36)
            & ~ c1_1(a36) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a37)
            & c3_1(a37)
            & ~ c0_1(a37) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a38)
            & c1_1(a38)
            & ~ c2_1(a38) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a45)
            & ~ c1_1(a45)
            & ~ c2_1(a45) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c2_1(a58)
            & ~ c0_1(a58)
            & ~ c1_1(a58) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a70)
            & ~ c1_1(a70)
            & ~ c3_1(a70) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a99)
            & c2_1(a99)
            & ~ c0_1(a99) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a12)
            & c1_1(a12)
            & c3_1(a12) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a25)
            & c2_1(a25)
            & c3_1(a25) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a35)
            & c1_1(a35)
            & c2_1(a35) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a54)
            & c2_1(a54)
            & c3_1(a54) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c3_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | hskp0
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp2
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c2_1(X9)
                | ~ c3_1(X9) ) )
          | hskp2 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c1_1(X11)
                | ~ c3_1(X11) ) )
          | hskp1 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp3
          | hskp0 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c2_1(X15)
                | ~ c0_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp0 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) )
          | hskp5 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | hskp27 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp6 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | hskp7
          | hskp8 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp9 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | hskp6 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | ~ c1_1(X44)
                | ~ c2_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | ~ c3_1(X46) ) )
          | hskp11 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c0_1(X48)
                | ~ c1_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp13
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp5
          | hskp15 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp28
          | hskp7 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | hskp16
          | hskp17 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | hskp6 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) )
          | hskp3
          | hskp18 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp11
          | hskp15 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | hskp9 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | hskp29
          | hskp19 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | hskp20 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp21
          | hskp17 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | hskp21
          | hskp20 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp22
          | hskp20 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp22
          | hskp23 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp13
          | hskp18 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | hskp18 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | hskp10
          | hskp1 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp12 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) )
          | hskp9
          | hskp15 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp30
          | hskp12 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c0_1(X87)
                | ~ c2_1(X87) ) )
          | hskp20 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp13
          | hskp24 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | hskp4
          | hskp15 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | hskp18
          | hskp23 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp21
          | hskp4 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp22
          | hskp12 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp16
          | hskp14 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5
          | hskp25 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp14
          | hskp17 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp24
          | hskp6 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | hskp29
          | hskp9 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c1_1(X102)
                | ~ c2_1(X102) ) )
          | hskp9 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp28
          | hskp0 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c3_1(X105) ) )
          | hskp8 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp21
          | hskp10 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | hskp6 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp7 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp19
          | hskp11 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp25 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c3_1(X114) ) )
          | hskp27
          | hskp16 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp30
          | hskp3 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp22
          | hskp0 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp5
          | hskp25 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c2_1(X118)
                | ~ c3_1(X118) ) )
          | hskp3
          | hskp24 )
        & ( hskp29
          | hskp26
          | hskp14 )
        & ( hskp27
          | hskp13
          | hskp8 )
        & ( hskp21
          | hskp13
          | hskp24 )
        & ( hskp9
          | hskp2
          | hskp17 )
        & ( hskp16
          | hskp4
          | hskp2 )
        & ( hskp5
          | hskp25
          | hskp28 )
        & ( hskp4
          | hskp28
          | hskp19 )
        & ( hskp28
          | hskp20
          | hskp1 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c2_1(a1)
        & ~ c3_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a2)
        & ~ c2_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a7)
        & c3_1(a7)
        & ~ c2_1(a7) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a9)
        & ~ c2_1(a9)
        & ~ c3_1(a9) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a11)
        & ~ c1_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a13)
        & ~ c1_1(a13)
        & ~ c3_1(a13) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a18)
        & ~ c0_1(a18)
        & ~ c1_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c0_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a20)
        & ~ c1_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a21)
        & c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a22)
        & c3_1(a22)
        & ~ c0_1(a22) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a24)
        & ~ c1_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a27)
        & c3_1(a27)
        & ~ c1_1(a27) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28)
        & ~ c2_1(a28) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a31)
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a36)
        & c3_1(a36)
        & ~ c1_1(a36) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & c3_1(a37)
        & ~ c0_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a38)
        & c1_1(a38)
        & ~ c2_1(a38) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a45)
        & ~ c1_1(a45)
        & ~ c2_1(a45) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a58)
        & ~ c0_1(a58)
        & ~ c1_1(a58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a70)
        & ~ c1_1(a70)
        & ~ c3_1(a70) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & c3_1(a12) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a25)
        & c2_1(a25)
        & c3_1(a25) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a35)
        & c1_1(a35)
        & c2_1(a35) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a54)
        & c2_1(a54)
        & c3_1(a54) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c3_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | ~ c0_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c1_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp2
      | hskp1 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c2_1(X9)
            | ~ c3_1(X9) ) )
      | hskp2 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c1_1(X11)
            | ~ c3_1(X11) ) )
      | hskp1 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp3
      | hskp0 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c2_1(X15)
            | ~ c0_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp4 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c2_1(X19)
            | ~ c3_1(X19) ) )
      | hskp0 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) )
      | hskp5 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c0_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | hskp27 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | ~ c1_1(X31)
            | ~ c3_1(X31) ) )
      | hskp6 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | hskp7
      | hskp8 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c3_1(X35)
            | ~ c0_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp9 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | hskp6 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp10 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | ~ c1_1(X44)
            | ~ c2_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | ~ c0_1(X46)
            | ~ c3_1(X46) ) )
      | hskp11 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | ~ c0_1(X48)
            | ~ c1_1(X48) ) )
      | hskp12 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | hskp13
      | hskp14 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp5
      | hskp15 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp28
      | hskp7 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) )
      | hskp16
      | hskp17 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | hskp6 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | c3_1(X58)
            | ~ c2_1(X58) ) )
      | hskp3
      | hskp18 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp11
      | hskp15 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | hskp9 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | hskp29
      | hskp19 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c3_1(X64)
            | ~ c1_1(X64)
            | ~ c2_1(X64) ) )
      | hskp20 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp21
      | hskp17 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | c3_1(X69) ) )
      | hskp21
      | hskp20 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | ~ c1_1(X75)
            | ~ c3_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp22
      | hskp20 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c3_1(X77) ) )
      | hskp22
      | hskp23 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp13
      | hskp18 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) )
      | hskp18 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c2_1(X81) ) )
      | hskp10
      | hskp1 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c0_1(X82)
            | ~ c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp12 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c2_1(X84) ) )
      | hskp9
      | hskp15 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | hskp30
      | hskp12 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c0_1(X87)
            | ~ c2_1(X87) ) )
      | hskp20 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) )
      | hskp13
      | hskp24 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c0_1(X89)
            | ~ c3_1(X89) ) )
      | hskp4
      | hskp15 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | hskp18
      | hskp23 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | hskp21
      | hskp4 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) )
      | hskp22
      | hskp12 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | ~ c0_1(X94)
            | ~ c3_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp16
      | hskp14 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp5
      | hskp25 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp14
      | hskp17 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | hskp24
      | hskp6 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | hskp29
      | hskp9 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c1_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c1_1(X102)
            | ~ c2_1(X102) ) )
      | hskp9 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp28
      | hskp0 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c1_1(X105)
            | ~ c3_1(X105) ) )
      | hskp8 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c1_1(X106) ) )
      | hskp21
      | hskp10 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c0_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c1_1(X108)
            | ~ c2_1(X108) ) )
      | hskp6 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp7 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp19
      | hskp11 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | hskp25 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c1_1(X114)
            | ~ c3_1(X114) ) )
      | hskp27
      | hskp16 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | hskp30
      | hskp3 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c0_1(X116)
            | ~ c1_1(X116)
            | ~ c3_1(X116) ) )
      | hskp22
      | hskp0 )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c3_1(X117) ) )
      | hskp5
      | hskp25 )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c1_1(X118)
            | ~ c2_1(X118)
            | ~ c3_1(X118) ) )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c2_1(a1)
        & ~ c3_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a2)
        & ~ c2_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a7)
        & c3_1(a7)
        & ~ c2_1(a7) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a9)
        & ~ c2_1(a9)
        & ~ c3_1(a9) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a11)
        & ~ c1_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a13)
        & ~ c1_1(a13)
        & ~ c3_1(a13) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a18)
        & ~ c0_1(a18)
        & ~ c1_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c0_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a20)
        & ~ c1_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a21)
        & c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a22)
        & c3_1(a22)
        & ~ c0_1(a22) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a24)
        & ~ c1_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a27)
        & c3_1(a27)
        & ~ c1_1(a27) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28)
        & ~ c2_1(a28) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a31)
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a36)
        & c3_1(a36)
        & ~ c1_1(a36) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & c3_1(a37)
        & ~ c0_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a38)
        & c1_1(a38)
        & ~ c2_1(a38) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a45)
        & ~ c1_1(a45)
        & ~ c2_1(a45) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a58)
        & ~ c0_1(a58)
        & ~ c1_1(a58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a70)
        & ~ c1_1(a70)
        & ~ c3_1(a70) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & c3_1(a12) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a25)
        & c2_1(a25)
        & c3_1(a25) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a35)
        & c1_1(a35)
        & c2_1(a35) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a54)
        & c2_1(a54)
        & c3_1(a54) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c2_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp5
      | hskp15 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X58] :
          ( c0_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp3
      | hskp18 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp11
      | hskp15 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp19 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | hskp21
      | hskp20 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp22
      | hskp20 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp22
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp13
      | hskp18 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp9
      | hskp15 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp30
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp13
      | hskp24 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp18
      | hskp23 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp4 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp12 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp16
      | hskp14 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp6 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp28
      | hskp0 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp21
      | hskp10 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp30
      | hskp3 )
    & ( ! [X116] :
          ( ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp22
      | hskp0 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp5
      | hskp25 )
    & ( ! [X118] :
          ( ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c2_1(a1)
        & ~ c3_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a2)
        & ~ c2_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a7)
        & c3_1(a7)
        & ~ c2_1(a7) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a9)
        & ~ c2_1(a9)
        & ~ c3_1(a9) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a11)
        & ~ c1_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a13)
        & ~ c1_1(a13)
        & ~ c3_1(a13) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a18)
        & ~ c0_1(a18)
        & ~ c1_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c0_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a20)
        & ~ c1_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a21)
        & c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a22)
        & c3_1(a22)
        & ~ c0_1(a22) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a24)
        & ~ c1_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a27)
        & c3_1(a27)
        & ~ c1_1(a27) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28)
        & ~ c2_1(a28) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a31)
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a36)
        & c3_1(a36)
        & ~ c1_1(a36) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & c3_1(a37)
        & ~ c0_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a38)
        & c1_1(a38)
        & ~ c2_1(a38) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a45)
        & ~ c1_1(a45)
        & ~ c2_1(a45) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a58)
        & ~ c0_1(a58)
        & ~ c1_1(a58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a70)
        & ~ c1_1(a70)
        & ~ c3_1(a70) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & c3_1(a12) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a25)
        & c2_1(a25)
        & c3_1(a25) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a35)
        & c1_1(a35)
        & c2_1(a35) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a54)
        & c2_1(a54)
        & c3_1(a54) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c2_1(X2)
          | c3_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c2_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c2_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | ~ c0_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp5
      | hskp15 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X58] :
          ( c0_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp3
      | hskp18 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp11
      | hskp15 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp19 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c3_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | hskp21
      | hskp20 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp22
      | hskp20 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp22
      | hskp23 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp13
      | hskp18 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp10
      | hskp1 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | hskp9
      | hskp15 )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp30
      | hskp12 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp13
      | hskp24 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp15 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp18
      | hskp23 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp21
      | hskp4 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp12 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | ~ c0_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp16
      | hskp14 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp25 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp6 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp28
      | hskp0 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp21
      | hskp10 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c1_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp30
      | hskp3 )
    & ( ! [X116] :
          ( ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp22
      | hskp0 )
    & ( ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 )
      | hskp5
      | hskp25 )
    & ( ! [X118] :
          ( ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ c3_1(X118)
          | ~ ndr1_0 )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp28
    | hskp20
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp4
    | hskp28
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp5
    | hskp25
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X118] :
      ( ~ c1_1(X118)
      | ~ c2_1(X118)
      | ~ c3_1(X118)
      | ~ ndr1_0
      | hskp3
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X117] :
      ( ~ c0_1(X117)
      | ~ c1_1(X117)
      | ~ c3_1(X117)
      | ~ ndr1_0
      | hskp5
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X116] :
      ( ~ c0_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | hskp22
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X115] :
      ( ~ c0_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp30
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X113,X112] :
      ( ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c2_1(X111)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X109,X110] :
      ( ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X108,X107] :
      ( c3_1(X107)
      | ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | ~ c1_1(X108)
      | ~ c2_1(X108)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X106] :
      ( c3_1(X106)
      | ~ c0_1(X106)
      | ~ c1_1(X106)
      | ~ ndr1_0
      | hskp21
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X103] :
      ( c2_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp28
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X101,X102] :
      ( c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | c3_1(X102)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X100] :
      ( c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | hskp29
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( c2_1(X99)
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ ndr1_0
      | hskp24
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X94,X95,X93] :
      ( c2_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c2_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X92] :
      ( c2_1(X92)
      | c3_1(X92)
      | ~ c0_1(X92)
      | ~ ndr1_0
      | hskp22
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X91] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | hskp21
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X90] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | hskp18
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp10
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X78] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp13
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp22
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X73,X74,X75] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X72,X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | hskp21
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X68] :
      ( c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | hskp21
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X65,X66,X67] :
      ( c0_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X63,X64] :
      ( c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp29
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X58] :
      ( c0_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | hskp3
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X52] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X50] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp5
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | ~ c0_1(X48)
      | ~ c1_1(X48)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c2_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c2_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X12] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | hskp3
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c2_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp30
    | c3_1(a54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp30
    | c2_1(a54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp30
    | c0_1(a54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp29
    | c2_1(a35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp29
    | c1_1(a35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp29
    | c0_1(a35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp28
    | c3_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp28
    | c2_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp28
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp28
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp27
    | c3_1(a12) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp27
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp27
    | c0_1(a12) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp25
    | ~ c3_1(a70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp25
    | ~ c1_1(a70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp25
    | c0_1(a70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp24
    | ~ c0_1(a58) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp24
    | c2_1(a58) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp23
    | ~ c2_1(a45) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp23
    | ~ c1_1(a45) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp23
    | c3_1(a45) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp22
    | ~ c1_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp22
    | c2_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp22
    | c0_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp21
    | ~ c2_1(a38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp21
    | c1_1(a38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp21
    | c0_1(a38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp20
    | c3_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp19
    | c3_1(a36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp19
    | c2_1(a36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp18
    | ~ c3_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp18
    | ~ c0_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp18
    | c1_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp17
    | ~ c2_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp17
    | ~ c0_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp17
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp16
    | ~ c1_1(a27) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp16
    | c3_1(a27) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp16
    | c0_1(a27) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp15
    | ~ c2_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp15
    | ~ c1_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp13
    | ~ c3_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp13
    | c2_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp13
    | c0_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp12
    | ~ c1_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp12
    | c2_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp10
    | c3_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp9
    | c1_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp8
    | ~ c3_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp7
    | ~ c0_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp7
    | c1_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c3_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp6
    | ~ c1_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp6
    | ~ c0_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp5
    | ~ c2_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp5
    | ~ c1_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp5
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp4
    | ~ c3_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp4
    | ~ c2_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp4
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp3
    | ~ c2_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp3
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp3
    | c0_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp2
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp0
    | c2_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ! [X113,X112] :
      ( ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c2_1(X113)
      | ~ c3_1(X113)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f211,plain,
    ! [X109,X110] :
      ( ~ c0_1(X109)
      | ~ c1_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f212,plain,
    ! [X108,X107] :
      ( c3_1(X107)
      | ~ c0_1(X107)
      | ~ c2_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | ~ c1_1(X108)
      | ~ c2_1(X108)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f213,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ c3_1(X105)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f214,plain,
    ! [X101,X102] :
      ( c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | c3_1(X102)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f215,plain,
    ! [X94,X95,X93] :
      ( c2_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c2_1(X94)
      | ~ c0_1(X94)
      | ~ c3_1(X94)
      | c3_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f216,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f217,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f218,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | c1_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f219,plain,
    ! [X73,X74,X75] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ c3_1(X75) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f220,plain,
    ! [X72,X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | c2_1(X71)
      | ~ c0_1(X71)
      | ~ c3_1(X71)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f221,plain,
    ! [X65,X66,X67] :
      ( c0_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f222,plain,
    ! [X63,X64] :
      ( c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ c2_1(X64)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f223,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c1_1(X61)
      | c2_1(X61)
      | c3_1(X61)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f224,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f225,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f226,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | ~ c0_1(X48)
      | ~ c1_1(X48)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f228,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c2_1(X43)
      | c3_1(X43)
      | ~ c1_1(X43)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ c2_1(X44) ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f230,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f231,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f232,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | c2_1(X35)
      | c3_1(X35)
      | ~ c0_1(X35) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f234,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f235,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26)
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f236,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c2_1(X24)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f237,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f238,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | ~ c2_1(X19)
      | ~ c3_1(X19)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f241,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f242,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c2_1(X9)
      | ~ c3_1(X9)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f246,definition,
    ( spl0_1
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f249,definition,
    ( spl0_2
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f252,definition,
    ( spl0_3
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f254,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f252,f249,f246]) ).

fof(f256,definition,
    ( spl0_4
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f259,definition,
    ( spl0_5
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f261,plain,
    ( spl0_4
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f259,f252,f256]) ).

fof(f263,definition,
    ( spl0_6
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_7
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f268,plain,
    ( spl0_3
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f266,f263,f252]) ).

fof(f270,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f277,definition,
    ( spl0_10
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_11
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_12
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f287,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_14
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_15
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f297,definition,
    ( spl0_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_19
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_20
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_22
  <=> ! [X118] :
        ( ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ c2_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X118] :
        ( ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ c2_1(X118) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f319,plain,
    ( spl0_12
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f14,f317,f314,f311,f284]) ).

fof(f321,definition,
    ( spl0_23
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | ~ c3_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X117] :
        ( ~ c0_1(X117)
        | ~ c3_1(X117)
        | ~ c1_1(X117) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f323,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f321,f314,f266,f263]) ).

fof(f325,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_25
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f330,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f16,f321,f314,f328,f325]) ).

fof(f332,definition,
    ( spl0_26
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f334,plain,
    ( spl0_20
    | spl0_26
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f17,f321,f314,f332,f311]) ).

fof(f336,plain,
    ( spl0_6
    | spl0_22
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f210,f321,f314,f317,f263]) ).

fof(f338,definition,
    ( spl0_27
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f341,definition,
    ( spl0_28
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f343,plain,
    ( spl0_27
    | spl0_4
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f341,f314,f256,f338]) ).

fof(f345,definition,
    ( spl0_29
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f347,plain,
    ( spl0_29
    | spl0_23
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f211,f341,f314,f321,f345]) ).

fof(f349,definition,
    ( spl0_30
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_31
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X108] :
        ( ~ c1_1(X108)
        | ~ c2_1(X108)
        | c3_1(X108) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f355,definition,
    ( spl0_32
  <=> ! [X107] :
        ( c3_1(X107)
        | ~ c2_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | ~ c2_1(X107)
        | c3_1(X107) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_21
    | spl0_32 ),
    inference(avatar_split_clause,[],[f212,f355,f314,f352,f349]) ).

fof(f359,definition,
    ( spl0_33
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f362,definition,
    ( spl0_34
  <=> ! [X106] :
        ( c3_1(X106)
        | ~ c1_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106)
        | c3_1(X106) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f364,plain,
    ( spl0_33
    | spl0_14
    | ~ spl0_21
    | spl0_34 ),
    inference(avatar_split_clause,[],[f23,f362,f314,f290,f359]) ).

fof(f365,plain,
    ( spl0_15
    | spl0_23
    | ~ spl0_21
    | spl0_34 ),
    inference(avatar_split_clause,[],[f213,f362,f314,f321,f294]) ).

fof(f367,definition,
    ( spl0_35
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_24
    | spl0_3
    | ~ spl0_21
    | spl0_35 ),
    inference(avatar_split_clause,[],[f25,f367,f314,f252,f325]) ).

fof(f370,plain,
    ( spl0_11
    | spl0_31
    | ~ spl0_21
    | spl0_35 ),
    inference(avatar_split_clause,[],[f214,f367,f314,f352,f280]) ).

fof(f372,definition,
    ( spl0_36
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c3_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f373,plain,
    ( ! [X100] :
        ( ~ c0_1(X100)
        | ~ c3_1(X100)
        | c2_1(X100) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f374,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_21
    | spl0_36 ),
    inference(avatar_split_clause,[],[f27,f372,f314,f307,f280]) ).

fof(f376,definition,
    ( spl0_37
  <=> ! [X99] :
        ( c2_1(X99)
        | ~ c1_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | ~ c1_1(X99)
        | c2_1(X99) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_30
    | spl0_12
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f28,f376,f314,f284,f349]) ).

fof(f382,plain,
    ( spl0_34
    | spl0_36
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f215,f376,f314,f372,f362]) ).

fof(f384,definition,
    ( spl0_38
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_39
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | c2_1(X92)
        | c3_1(X92) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_38
    | spl0_25
    | ~ spl0_21
    | spl0_39 ),
    inference(avatar_split_clause,[],[f33,f387,f314,f328,f384]) ).

fof(f390,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_21
    | spl0_39 ),
    inference(avatar_split_clause,[],[f34,f387,f314,f290,f259]) ).

fof(f392,definition,
    ( spl0_40
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_41
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f398,definition,
    ( spl0_42
  <=> ! [X90] :
        ( c1_1(X90)
        | ~ c3_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | ~ c3_1(X90)
        | c1_1(X90) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_40
    | spl0_41
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f35,f398,f314,f395,f392]) ).

fof(f402,definition,
    ( spl0_43
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f406,plain,
    ( spl0_2
    | spl0_32
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f216,f398,f314,f355,f249]) ).

fof(f408,definition,
    ( spl0_44
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85)
        | c1_1(X85) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f412,plain,
    ( spl0_38
    | spl0_23
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f217,f408,f314,f321,f384]) ).

fof(f414,definition,
    ( spl0_45
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_1
    | spl0_33
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f42,f414,f314,f359,f246]) ).

fof(f418,definition,
    ( spl0_46
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c1_1(X79)
        | c3_1(X79) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_41
    | spl0_44
    | ~ spl0_21
    | spl0_46 ),
    inference(avatar_split_clause,[],[f218,f418,f314,f408,f395]) ).

fof(f422,definition,
    ( spl0_47
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_41
    | spl0_13
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f44,f422,f314,f287,f395]) ).

fof(f426,plain,
    ( spl0_2
    | spl0_25
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f46,f422,f314,f328,f249]) ).

fof(f427,plain,
    ( spl0_23
    | spl0_35
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f219,f422,f314,f367,f321]) ).

fof(f428,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f220,f422,f314,f372,f352]) ).

fof(f430,definition,
    ( spl0_48
  <=> ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f49,f430,f314,f290,f249]) ).

fof(f434,definition,
    ( spl0_49
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c2_1(X68) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f436,plain,
    ( spl0_10
    | spl0_14
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f50,f434,f314,f290,f277]) ).

fof(f438,definition,
    ( spl0_50
  <=> ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( spl0_22
    | spl0_50
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f221,f434,f314,f438,f317]) ).

fof(f441,plain,
    ( spl0_2
    | spl0_31
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f222,f434,f314,f352,f249]) ).

fof(f443,definition,
    ( spl0_51
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X62] :
        ( c0_1(X62)
        | ~ c3_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( spl0_4
    | spl0_19
    | ~ spl0_21
    | spl0_51 ),
    inference(avatar_split_clause,[],[f53,f443,f314,f307,f256]) ).

fof(f447,definition,
    ( spl0_52
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f449,plain,
    ( spl0_11
    | spl0_48
    | ~ spl0_21
    | spl0_52 ),
    inference(avatar_split_clause,[],[f223,f447,f314,f430,f280]) ).

fof(f451,definition,
    ( spl0_53
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f454,plain,
    ( spl0_41
    | spl0_20
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f56,f451,f314,f311,f395]) ).

fof(f455,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f224,f451,f314,f352,f349]) ).

fof(f456,plain,
    ( spl0_46
    | spl0_48
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f225,f451,f314,f430,f418]) ).

fof(f458,definition,
    ( spl0_54
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c3_1(X52) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f59,f458,f314,f273,f277]) ).

fof(f462,definition,
    ( spl0_55
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | c2_1(X51) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( spl0_43
    | spl0_7
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f61,f462,f314,f266,f402]) ).

fof(f467,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f226,f462,f314,f362,f384]) ).

fof(f470,definition,
    ( spl0_56
  <=> ! [X43] :
        ( c2_1(X43)
        | ~ c1_1(X43)
        | c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c2_1(X43)
        | c3_1(X43) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_31
    | spl0_56
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f228,f462,f314,f470,f352]) ).

fof(f474,definition,
    ( spl0_57
  <=> ! [X41] :
        ( c1_1(X41)
        | ~ c3_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X41] :
        ( c1_1(X41)
        | ~ c3_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f478,definition,
    ( spl0_58
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f479,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f480,plain,
    ( spl0_30
    | spl0_28
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f230,f478,f314,f341,f349]) ).

fof(f481,plain,
    ( spl0_11
    | spl0_28
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f231,f478,f314,f341,f280]) ).

fof(f482,plain,
    ( spl0_39
    | spl0_57
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f478,f314,f474,f387]) ).

fof(f484,definition,
    ( spl0_59
  <=> ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f488,plain,
    ( spl0_16
    | spl0_37
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f234,f484,f314,f376,f297]) ).

fof(f489,plain,
    ( spl0_31
    | spl0_44
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f235,f484,f314,f408,f352]) ).

fof(f490,plain,
    ( spl0_7
    | spl0_45
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f236,f484,f314,f414,f266]) ).

fof(f491,plain,
    ( spl0_57
    | spl0_48
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f237,f484,f314,f430,f474]) ).

fof(f492,plain,
    ( spl0_24
    | spl0_49
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f238,f484,f314,f434,f325]) ).

fof(f502,definition,
    ( spl0_62
  <=> ! [X12] :
        ( c0_1(X12)
        | ~ c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X12] :
        ( c0_1(X12)
        | ~ c2_1(X12)
        | c1_1(X12) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( spl0_24
    | spl0_20
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f79,f502,f314,f311,f325]) ).

fof(f505,plain,
    ( spl0_1
    | spl0_35
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f241,f502,f314,f367,f246]) ).

fof(f506,plain,
    ( spl0_8
    | spl0_47
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f242,f502,f314,f422,f270]) ).

fof(f518,definition,
    ( spl0_65
  <=> c3_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f521,plain,
    ( spl0_65
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f86,f332,f518]) ).

fof(f523,definition,
    ( spl0_66
  <=> c2_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f525,plain,
    ( spl0_66
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f87,f332,f523]) ).

fof(f527,definition,
    ( spl0_67
  <=> c0_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f528,plain,
    ( c0_1(a54)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f529,plain,
    ( spl0_67
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f88,f332,f527]) ).

fof(f533,definition,
    ( spl0_68
  <=> c2_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f536,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f307,f533]) ).

fof(f538,definition,
    ( spl0_69
  <=> c1_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f539,plain,
    ( c1_1(a35)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( spl0_69
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f307,f538]) ).

fof(f542,definition,
    ( spl0_70
  <=> c0_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f543,plain,
    ( c0_1(a35)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( spl0_70
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f92,f307,f542]) ).

fof(f547,definition,
    ( spl0_71
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f550,plain,
    ( spl0_71
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f94,f252,f547]) ).

fof(f552,definition,
    ( spl0_72
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f554,plain,
    ( spl0_72
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f95,f252,f552]) ).

fof(f556,definition,
    ( spl0_73
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f557,plain,
    ( c1_1(a25)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f556]) ).

fof(f558,plain,
    ( spl0_73
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f96,f252,f556]) ).

fof(f559,plain,
    ( spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f97,f252,f314]) ).

fof(f561,definition,
    ( spl0_74
  <=> c3_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f564,plain,
    ( spl0_74
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f98,f297,f561]) ).

fof(f566,definition,
    ( spl0_75
  <=> c1_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f567,plain,
    ( c1_1(a12)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( spl0_75
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f99,f297,f566]) ).

fof(f570,definition,
    ( spl0_76
  <=> c0_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f571,plain,
    ( c0_1(a12)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f572,plain,
    ( spl0_76
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f100,f297,f570]) ).

fof(f589,definition,
    ( spl0_80
  <=> c3_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ spl0_80
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f263,f589]) ).

fof(f594,definition,
    ( spl0_81
  <=> c1_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ c1_1(a70)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f596,plain,
    ( ~ spl0_81
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f263,f594]) ).

fof(f598,definition,
    ( spl0_82
  <=> c0_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f599,plain,
    ( c0_1(a70)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( spl0_82
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f108,f263,f598]) ).

fof(f603,definition,
    ( spl0_83
  <=> c1_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f606,plain,
    ( ~ spl0_83
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f110,f284,f603]) ).

fof(f608,definition,
    ( spl0_84
  <=> c0_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c0_1(a58)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( ~ spl0_84
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f111,f284,f608]) ).

fof(f612,definition,
    ( spl0_85
  <=> c2_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f614,plain,
    ( spl0_85
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f112,f284,f612]) ).

fof(f617,definition,
    ( spl0_86
  <=> c2_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ spl0_86
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f114,f392,f617]) ).

fof(f622,definition,
    ( spl0_87
  <=> c1_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ c1_1(a45)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( ~ spl0_87
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f115,f392,f622]) ).

fof(f626,definition,
    ( spl0_88
  <=> c3_1(a45) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f628,plain,
    ( spl0_88
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f116,f392,f626]) ).

fof(f631,definition,
    ( spl0_89
  <=> c1_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f632,plain,
    ( ~ c1_1(a42)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f634,plain,
    ( ~ spl0_89
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f118,f328,f631]) ).

fof(f636,definition,
    ( spl0_90
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_90
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f119,f328,f636]) ).

fof(f640,definition,
    ( spl0_91
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f641,plain,
    ( c0_1(a42)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f642,plain,
    ( spl0_91
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f120,f328,f640]) ).

fof(f645,definition,
    ( spl0_92
  <=> c2_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f290,f645]) ).

fof(f650,definition,
    ( spl0_93
  <=> c1_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f651,plain,
    ( c1_1(a38)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( spl0_93
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f290,f650]) ).

fof(f654,definition,
    ( spl0_94
  <=> c0_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f655,plain,
    ( c0_1(a38)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f290,f654]) ).

fof(f659,definition,
    ( spl0_95
  <=> c0_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ c0_1(a37)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f662,plain,
    ( ~ spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f126,f249,f659]) ).

fof(f664,definition,
    ( spl0_96
  <=> c3_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_96
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f127,f249,f664]) ).

fof(f668,definition,
    ( spl0_97
  <=> c1_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f669,plain,
    ( c1_1(a37)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f670,plain,
    ( spl0_97
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f128,f249,f668]) ).

fof(f671,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f249,f314]) ).

fof(f673,definition,
    ( spl0_98
  <=> c1_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c1_1(a36)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl0_98
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f130,f256,f673]) ).

fof(f678,definition,
    ( spl0_99
  <=> c3_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f680,plain,
    ( spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f131,f256,f678]) ).

fof(f682,definition,
    ( spl0_100
  <=> c2_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f684,plain,
    ( spl0_100
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f132,f256,f682]) ).

fof(f687,definition,
    ( spl0_101
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ spl0_101
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f134,f395,f687]) ).

fof(f692,definition,
    ( spl0_102
  <=> c0_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ c0_1(a31)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( ~ spl0_102
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f135,f395,f692]) ).

fof(f696,definition,
    ( spl0_103
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f697,plain,
    ( c1_1(a31)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( spl0_103
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f136,f395,f696]) ).

fof(f701,definition,
    ( spl0_104
  <=> c2_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ spl0_104
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f138,f277,f701]) ).

fof(f706,definition,
    ( spl0_105
  <=> c0_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ c0_1(a28)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f708,plain,
    ( ~ spl0_105
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f139,f277,f706]) ).

fof(f710,definition,
    ( spl0_106
  <=> c3_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f712,plain,
    ( spl0_106
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f140,f277,f710]) ).

fof(f715,definition,
    ( spl0_107
  <=> c1_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f716,plain,
    ( ~ c1_1(a27)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( ~ spl0_107
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f142,f273,f715]) ).

fof(f720,definition,
    ( spl0_108
  <=> c3_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f722,plain,
    ( spl0_108
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f143,f273,f720]) ).

fof(f724,definition,
    ( spl0_109
  <=> c0_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f725,plain,
    ( c0_1(a27)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_109
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f144,f273,f724]) ).

fof(f729,definition,
    ( spl0_110
  <=> c2_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f732,plain,
    ( ~ spl0_110
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f146,f402,f729]) ).

fof(f734,definition,
    ( spl0_111
  <=> c1_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ c1_1(a24)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f736,plain,
    ( ~ spl0_111
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f147,f402,f734]) ).

fof(f757,definition,
    ( spl0_116
  <=> c3_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ spl0_116
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f154,f287,f757]) ).

fof(f762,definition,
    ( spl0_117
  <=> c2_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f764,plain,
    ( spl0_117
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f155,f287,f762]) ).

fof(f766,definition,
    ( spl0_118
  <=> c0_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f767,plain,
    ( c0_1(a21)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f768,plain,
    ( spl0_118
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f156,f287,f766]) ).

fof(f771,definition,
    ( spl0_119
  <=> c3_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ spl0_119
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f158,f384,f771]) ).

fof(f776,definition,
    ( spl0_120
  <=> c1_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ c1_1(a20)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f778,plain,
    ( ~ spl0_120
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f159,f384,f776]) ).

fof(f780,definition,
    ( spl0_121
  <=> c2_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_121
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f160,f384,f780]) ).

fof(f785,definition,
    ( spl0_122
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ spl0_122
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f162,f338,f785]) ).

fof(f790,definition,
    ( spl0_123
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ c0_1(a19)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f792,plain,
    ( ~ spl0_123
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f163,f338,f790]) ).

fof(f794,definition,
    ( spl0_124
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f796,plain,
    ( spl0_124
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f164,f338,f794]) ).

fof(f799,definition,
    ( spl0_125
  <=> c1_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ c1_1(a18)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( ~ spl0_125
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f166,f359,f799]) ).

fof(f804,definition,
    ( spl0_126
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ c0_1(a18)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( ~ spl0_126
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f167,f359,f804]) ).

fof(f808,definition,
    ( spl0_127
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f810,plain,
    ( spl0_127
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f168,f359,f808]) ).

fof(f813,definition,
    ( spl0_128
  <=> c3_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ spl0_128
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f170,f280,f813]) ).

fof(f818,definition,
    ( spl0_129
  <=> c1_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f819,plain,
    ( c1_1(a16)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f171,f280,f818]) ).

fof(f822,definition,
    ( spl0_130
  <=> c0_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f823,plain,
    ( c0_1(a16)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f824,plain,
    ( spl0_130
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f172,f280,f822]) ).

fof(f827,definition,
    ( spl0_131
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ spl0_131
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f174,f294,f827]) ).

fof(f832,definition,
    ( spl0_132
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ spl0_132
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f175,f294,f832]) ).

fof(f836,definition,
    ( spl0_133
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ c1_1(a15)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( ~ spl0_133
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f176,f294,f836]) ).

fof(f841,definition,
    ( spl0_134
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f844,plain,
    ( ~ spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f178,f345,f841]) ).

fof(f846,definition,
    ( spl0_135
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ c0_1(a14)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f848,plain,
    ( ~ spl0_135
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f179,f345,f846]) ).

fof(f850,definition,
    ( spl0_136
  <=> c1_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_136
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f180,f345,f850]) ).

fof(f855,definition,
    ( spl0_137
  <=> c3_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f858,plain,
    ( ~ spl0_137
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f182,f349,f855]) ).

fof(f860,definition,
    ( spl0_138
  <=> c1_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c1_1(a13)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f862,plain,
    ( ~ spl0_138
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f183,f349,f860]) ).

fof(f864,definition,
    ( spl0_139
  <=> c0_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ c0_1(a13)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f866,plain,
    ( ~ spl0_139
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f184,f349,f864]) ).

fof(f869,definition,
    ( spl0_140
  <=> c2_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f872,plain,
    ( ~ spl0_140
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f186,f266,f869]) ).

fof(f874,definition,
    ( spl0_141
  <=> c1_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ c1_1(a11)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f876,plain,
    ( ~ spl0_141
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f187,f266,f874]) ).

fof(f878,definition,
    ( spl0_142
  <=> c0_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f879,plain,
    ( c0_1(a11)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f880,plain,
    ( spl0_142
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f188,f266,f878]) ).

fof(f883,definition,
    ( spl0_143
  <=> c3_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f886,plain,
    ( ~ spl0_143
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f190,f259,f883]) ).

fof(f888,definition,
    ( spl0_144
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f890,plain,
    ( ~ spl0_144
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f191,f259,f888]) ).

fof(f892,definition,
    ( spl0_145
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f893,plain,
    ( c0_1(a9)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f894,plain,
    ( spl0_145
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f192,f259,f892]) ).

fof(f897,definition,
    ( spl0_146
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ spl0_146
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f194,f311,f897]) ).

fof(f902,definition,
    ( spl0_147
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f904,plain,
    ( spl0_147
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f195,f311,f902]) ).

fof(f906,definition,
    ( spl0_148
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f907,plain,
    ( c0_1(a7)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f908,plain,
    ( spl0_148
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f196,f311,f906]) ).

fof(f911,definition,
    ( spl0_149
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ spl0_149
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f198,f270,f911]) ).

fof(f916,definition,
    ( spl0_150
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f918,plain,
    ( spl0_150
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f199,f270,f916]) ).

fof(f920,definition,
    ( spl0_151
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f921,plain,
    ( c1_1(a3)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f922,plain,
    ( spl0_151
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f200,f270,f920]) ).

fof(f925,definition,
    ( spl0_152
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f928,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f246,f925]) ).

fof(f930,definition,
    ( spl0_153
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f246,f930]) ).

fof(f934,definition,
    ( spl0_154
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ c0_1(a2)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f936,plain,
    ( ~ spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f246,f934]) ).

fof(f937,plain,
    ( spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f246,f314]) ).

fof(f939,definition,
    ( spl0_155
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ spl0_155
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f206,f325,f939]) ).

fof(f944,definition,
    ( spl0_156
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f946,plain,
    ( spl0_156
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f207,f325,f944]) ).

fof(f948,definition,
    ( spl0_157
  <=> c1_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f949,plain,
    ( c1_1(a1)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f950,plain,
    ( spl0_157
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f208,f325,f948]) ).

fof(f952,plain,
    ( ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(resolution,[],[f322,f543]) ).

fof(f956,definition,
    ( spl0_158
  <=> c3_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ c2_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(resolution,[],[f342,f543]) ).

fof(f962,plain,
    ( ~ spl0_69
    | ~ spl0_68
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f959,f542,f341,f533,f538]) ).

fof(f976,definition,
    ( spl0_160
  <=> c2_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ c2_1(a54)
    | ~ c1_1(a54)
    | ~ spl0_28
    | ~ spl0_67 ),
    inference(resolution,[],[f528,f342]) ).

fof(f997,definition,
    ( spl0_161
  <=> c1_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f998,plain,
    ( ~ c1_1(a54)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1000,plain,
    ( ~ spl0_161
    | ~ spl0_66
    | ~ spl0_28
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f990,f527,f341,f523,f997]) ).

fof(f1004,plain,
    ( ~ c2_1(a13)
    | c3_1(a13)
    | ~ spl0_45
    | spl0_138 ),
    inference(resolution,[],[f415,f861]) ).

fof(f1019,definition,
    ( spl0_163
  <=> c2_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1021,plain,
    ( spl0_137
    | ~ spl0_163
    | ~ spl0_45
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1004,f860,f414,f1019,f855]) ).

fof(f1037,definition,
    ( spl0_164
  <=> c3_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1040,plain,
    ( ~ c2_1(a42)
    | c3_1(a42)
    | ~ spl0_45
    | spl0_89 ),
    inference(resolution,[],[f632,f415]) ).

fof(f1042,definition,
    ( spl0_165
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1045,plain,
    ( spl0_165
    | ~ spl0_90
    | ~ spl0_45
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1040,f631,f414,f636,f1042]) ).

fof(f1060,definition,
    ( spl0_166
  <=> c2_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1065,plain,
    ( c3_1(a15)
    | c2_1(a15)
    | ~ spl0_48
    | spl0_133 ),
    inference(resolution,[],[f431,f837]) ).

fof(f1066,plain,
    ( c3_1(a24)
    | c2_1(a24)
    | ~ spl0_48
    | spl0_111 ),
    inference(resolution,[],[f431,f735]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(resolution,[],[f435,f322]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(resolution,[],[f435,f342]) ).

fof(f1093,plain,
    ( ~ c3_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_49
    | spl0_95 ),
    inference(resolution,[],[f435,f660]) ).

fof(f1098,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1082]) ).

fof(f1099,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1081]) ).

fof(f1105,definition,
    ( spl0_167
  <=> c2_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ spl0_167
    | ~ spl0_96
    | ~ spl0_49
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1093,f659,f434,f664,f1105]) ).

fof(f1109,plain,
    ( spl0_22
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1098,f434,f341,f317]) ).

fof(f1110,plain,
    ( spl0_22
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1099,f434,f321,f317]) ).

fof(f1119,plain,
    ( ~ c3_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f439,f641]) ).

fof(f1123,plain,
    ( ~ spl0_90
    | ~ spl0_165
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1119,f640,f438,f1042,f636]) ).

fof(f1127,plain,
    ( ~ c3_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_22
    | ~ spl0_97 ),
    inference(resolution,[],[f318,f669]) ).

fof(f1137,plain,
    ( ~ spl0_167
    | ~ spl0_96
    | ~ spl0_22
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1127,f668,f317,f664,f1105]) ).

fof(f1138,plain,
    ( ~ c2_1(a70)
    | c3_1(a70)
    | ~ spl0_45
    | spl0_81 ),
    inference(resolution,[],[f595,f415]) ).

fof(f1141,definition,
    ( spl0_168
  <=> c2_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1143,plain,
    ( spl0_80
    | ~ spl0_168
    | ~ spl0_45
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1138,f594,f414,f1141,f589]) ).

fof(f1151,plain,
    ( c1_1(a70)
    | c3_1(a70)
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(resolution,[],[f599,f419]) ).

fof(f1153,plain,
    ( spl0_80
    | spl0_81
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1151,f598,f418,f594,f589]) ).

fof(f1166,plain,
    ( ~ c2_1(a16)
    | c3_1(a16)
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(resolution,[],[f823,f356]) ).

fof(f1167,plain,
    ( ~ c1_1(a16)
    | c3_1(a16)
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(resolution,[],[f823,f363]) ).

fof(f1172,definition,
    ( spl0_169
  <=> c2_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1177,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1167,f822,f362,f818,f813]) ).

fof(f1179,plain,
    ( spl0_128
    | ~ spl0_169
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1166,f822,f355,f1172,f813]) ).

fof(f1184,plain,
    ( c2_1(a38)
    | c3_1(a38)
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f655,f388]) ).

fof(f1186,definition,
    ( spl0_170
  <=> c3_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1189,plain,
    ( spl0_170
    | spl0_92
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1184,f654,f387,f645,f1186]) ).

fof(f1196,definition,
    ( spl0_171
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1202,plain,
    ( c2_1(a11)
    | c3_1(a11)
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(resolution,[],[f879,f388]) ).

fof(f1204,definition,
    ( spl0_172
  <=> c3_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1207,plain,
    ( spl0_172
    | spl0_140
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1202,f878,f387,f869,f1204]) ).

fof(f1211,plain,
    ( ~ c3_1(a37)
    | c2_1(a37)
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(resolution,[],[f368,f669]) ).

fof(f1220,plain,
    ( ~ c3_1(a11)
    | c2_1(a11)
    | ~ spl0_47
    | spl0_141 ),
    inference(resolution,[],[f423,f875]) ).

fof(f1223,plain,
    ( ~ c3_1(a18)
    | c2_1(a18)
    | ~ spl0_47
    | spl0_125 ),
    inference(resolution,[],[f423,f800]) ).

fof(f1225,plain,
    ( ~ c3_1(a27)
    | c2_1(a27)
    | ~ spl0_47
    | spl0_107 ),
    inference(resolution,[],[f423,f716]) ).

fof(f1228,plain,
    ( ~ c3_1(a45)
    | c2_1(a45)
    | ~ spl0_47
    | spl0_87 ),
    inference(resolution,[],[f423,f623]) ).

fof(f1234,plain,
    ( spl0_86
    | ~ spl0_88
    | ~ spl0_47
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1228,f622,f422,f626,f617]) ).

fof(f1238,plain,
    ( spl0_171
    | ~ spl0_127
    | ~ spl0_47
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1223,f799,f422,f808,f1196]) ).

fof(f1240,plain,
    ( spl0_140
    | ~ spl0_172
    | ~ spl0_47
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1220,f874,f422,f1204,f869]) ).

fof(f1244,plain,
    ( spl0_160
    | ~ spl0_108
    | ~ spl0_47
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1225,f715,f422,f720,f976]) ).

fof(f1252,plain,
    ( c2_1(a9)
    | c3_1(a9)
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(resolution,[],[f893,f388]) ).

fof(f1257,definition,
    ( spl0_173
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1263,plain,
    ( ~ c3_1(a27)
    | ~ c2_1(a27)
    | ~ spl0_50
    | ~ spl0_109 ),
    inference(resolution,[],[f439,f725]) ).

fof(f1264,plain,
    ( ~ spl0_160
    | ~ spl0_108
    | ~ spl0_50
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1263,f724,f438,f720,f976]) ).

fof(f1269,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(resolution,[],[f444,f439]) ).

fof(f1275,plain,
    ( ~ c3_1(a37)
    | ~ c1_1(a37)
    | ~ spl0_51
    | spl0_95 ),
    inference(resolution,[],[f444,f660]) ).

fof(f1278,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1269]) ).

fof(f1284,plain,
    ( ~ spl0_97
    | ~ spl0_96
    | ~ spl0_51
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1275,f659,f443,f664,f668]) ).

fof(f1290,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1278,f443,f438,f317]) ).

fof(f1295,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(resolution,[],[f448,f439]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1295]) ).

fof(f1309,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1304,f447,f438,f317]) ).

fof(f1336,plain,
    ( ~ c2_1(a31)
    | c3_1(a31)
    | ~ spl0_53
    | spl0_102 ),
    inference(resolution,[],[f452,f693]) ).

fof(f1347,plain,
    ( ~ c3_1(a18)
    | c2_1(a18)
    | ~ spl0_55
    | spl0_126 ),
    inference(resolution,[],[f463,f805]) ).

fof(f1349,plain,
    ( ~ c3_1(a28)
    | c2_1(a28)
    | ~ spl0_55
    | spl0_105 ),
    inference(resolution,[],[f463,f707]) ).

fof(f1351,plain,
    ( ~ c3_1(a37)
    | c2_1(a37)
    | ~ spl0_55
    | spl0_95 ),
    inference(resolution,[],[f463,f660]) ).

fof(f1389,plain,
    ( spl0_101
    | ~ spl0_166
    | ~ spl0_53
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1336,f692,f451,f1060,f687]) ).

fof(f1393,plain,
    ( ~ c2_1(a1)
    | c3_1(a1)
    | ~ spl0_31
    | ~ spl0_157 ),
    inference(resolution,[],[f353,f949]) ).

fof(f1396,plain,
    ( ~ c2_1(a31)
    | c3_1(a31)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f353,f697]) ).

fof(f1402,plain,
    ( spl0_101
    | ~ spl0_166
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1396,f696,f352,f1060,f687]) ).

fof(f1406,plain,
    ( spl0_155
    | ~ spl0_156
    | ~ spl0_31
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1393,f948,f352,f944,f939]) ).

fof(f1416,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(resolution,[],[f409,f452]) ).

fof(f1420,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1416]) ).

fof(f1424,plain,
    ( spl0_45
    | ~ spl0_44
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1420,f451,f408,f414]) ).

fof(f1435,definition,
    ( spl0_175
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1447,plain,
    ( c1_1(a9)
    | c3_1(a9)
    | ~ spl0_46
    | ~ spl0_145 ),
    inference(resolution,[],[f419,f893]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(resolution,[],[f452,f419]) ).

fof(f1458,plain,
    ( ~ c2_1(a13)
    | c3_1(a13)
    | ~ spl0_53
    | spl0_139 ),
    inference(resolution,[],[f452,f865]) ).

fof(f1468,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1456]) ).

fof(f1470,plain,
    ( spl0_45
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1468,f451,f418,f414]) ).

fof(f1476,plain,
    ( ~ c2_1(a20)
    | c3_1(a20)
    | ~ spl0_45
    | spl0_120 ),
    inference(resolution,[],[f415,f777]) ).

fof(f1486,plain,
    ( spl0_119
    | ~ spl0_121
    | ~ spl0_45
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1476,f776,f414,f780,f771]) ).

fof(f1505,plain,
    ( c2_1(a38)
    | c3_1(a38)
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(resolution,[],[f471,f651]) ).

fof(f1510,plain,
    ( spl0_170
    | spl0_92
    | ~ spl0_56
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1505,f650,f470,f645,f1186]) ).

fof(f1518,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(resolution,[],[f485,f419]) ).

fof(f1520,plain,
    ( c3_1(a13)
    | c2_1(a13)
    | ~ spl0_59
    | spl0_139 ),
    inference(resolution,[],[f485,f865]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1518]) ).

fof(f1536,plain,
    ( spl0_48
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1529,f484,f418,f430]) ).

fof(f1539,plain,
    ( spl0_132
    | spl0_131
    | ~ spl0_48
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1065,f836,f430,f827,f832]) ).

fof(f1553,plain,
    ( ~ c3_1(a11)
    | c2_1(a11)
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(resolution,[],[f879,f373]) ).

fof(f1558,plain,
    ( spl0_140
    | ~ spl0_172
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1553,f878,f372,f1204,f869]) ).

fof(f1578,plain,
    ( spl0_143
    | spl0_173
    | ~ spl0_46
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1447,f892,f418,f1257,f883]) ).

fof(f1581,plain,
    ( ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(resolution,[],[f571,f322]) ).

fof(f1582,plain,
    ( ~ c3_1(a12)
    | c2_1(a12)
    | ~ spl0_36
    | ~ spl0_76 ),
    inference(resolution,[],[f571,f373]) ).

fof(f1587,definition,
    ( spl0_178
  <=> c2_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1598,plain,
    ( spl0_167
    | ~ spl0_96
    | ~ spl0_35
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1211,f668,f367,f664,f1105]) ).

fof(f1605,plain,
    ( spl0_171
    | ~ spl0_127
    | ~ spl0_55
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1347,f804,f462,f808,f1196]) ).

fof(f1607,plain,
    ( spl0_167
    | ~ spl0_96
    | ~ spl0_55
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1351,f659,f462,f664,f1105]) ).

fof(f1612,plain,
    ( ~ c3_1(a35)
    | ~ c2_1(a35)
    | ~ spl0_50
    | ~ spl0_70 ),
    inference(resolution,[],[f543,f439]) ).

fof(f1613,plain,
    ( ~ spl0_68
    | ~ spl0_158
    | ~ spl0_50
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1612,f542,f438,f956,f533]) ).

fof(f1627,plain,
    ( ~ c3_1(a12)
    | ~ c2_1(a12)
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(resolution,[],[f318,f567]) ).

fof(f1632,plain,
    ( ~ spl0_178
    | ~ spl0_74
    | ~ spl0_22
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1627,f566,f317,f561,f1587]) ).

fof(f1647,plain,
    ( ~ c1_1(a9)
    | c3_1(a9)
    | ~ spl0_34
    | ~ spl0_145 ),
    inference(resolution,[],[f363,f893]) ).

fof(f1652,plain,
    ( ~ c1_1(a35)
    | c3_1(a35)
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f363,f543]) ).

fof(f1653,plain,
    ( spl0_158
    | ~ spl0_69
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1652,f542,f362,f538,f956]) ).

fof(f1657,plain,
    ( spl0_143
    | ~ spl0_173
    | ~ spl0_34
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1647,f892,f362,f1257,f883]) ).

fof(f1672,plain,
    ( spl0_137
    | ~ spl0_163
    | ~ spl0_53
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1458,f864,f451,f1019,f855]) ).

fof(f1679,plain,
    ( ~ c3_1(a24)
    | c2_1(a24)
    | ~ spl0_47
    | spl0_111 ),
    inference(resolution,[],[f735,f423]) ).

fof(f1685,plain,
    ( ~ c2_1(a16)
    | c3_1(a16)
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(resolution,[],[f353,f819]) ).

fof(f1692,plain,
    ( ~ c2_1(a35)
    | c3_1(a35)
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(resolution,[],[f353,f539]) ).

fof(f1693,plain,
    ( spl0_158
    | ~ spl0_68
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1692,f538,f352,f533,f956]) ).

fof(f1694,plain,
    ( spl0_128
    | ~ spl0_169
    | ~ spl0_31
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1685,f818,f352,f1172,f813]) ).

fof(f1695,plain,
    ( ~ c3_1(a7)
    | c1_1(a7)
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(resolution,[],[f399,f907]) ).

fof(f1697,plain,
    ( ~ c3_1(a11)
    | c1_1(a11)
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(resolution,[],[f399,f879]) ).

fof(f1705,plain,
    ( spl0_141
    | ~ spl0_172
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1697,f878,f398,f1204,f874]) ).

fof(f1706,plain,
    ( spl0_175
    | ~ spl0_147
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1695,f906,f398,f902,f1435]) ).

fof(f1708,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(resolution,[],[f435,f399]) ).

fof(f1718,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1708]) ).

fof(f1722,plain,
    ( spl0_57
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1718,f434,f398,f474]) ).

fof(f1758,plain,
    ( ~ c2_1(a19)
    | c3_1(a19)
    | ~ spl0_53
    | spl0_123 ),
    inference(resolution,[],[f452,f791]) ).

fof(f1766,plain,
    ( spl0_122
    | ~ spl0_124
    | ~ spl0_53
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1758,f790,f451,f794,f785]) ).

fof(f1776,plain,
    ( spl0_110
    | spl0_164
    | ~ spl0_48
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1066,f734,f430,f1037,f729]) ).

fof(f1780,plain,
    ( spl0_104
    | ~ spl0_106
    | ~ spl0_55
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1349,f706,f462,f710,f701]) ).

fof(f1781,plain,
    ( spl0_163
    | spl0_137
    | ~ spl0_59
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1520,f864,f484,f855,f1019]) ).

fof(f1788,plain,
    ( spl0_110
    | ~ spl0_164
    | ~ spl0_47
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1679,f734,f422,f1037,f729]) ).

fof(f1799,plain,
    ( ~ c2_1(a21)
    | c3_1(a21)
    | ~ spl0_32
    | ~ spl0_118 ),
    inference(resolution,[],[f356,f767]) ).

fof(f1801,plain,
    ( ~ c2_1(a42)
    | c3_1(a42)
    | ~ spl0_32
    | ~ spl0_91 ),
    inference(resolution,[],[f356,f641]) ).

fof(f1802,plain,
    ( ~ c2_1(a70)
    | c3_1(a70)
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(resolution,[],[f356,f599]) ).

fof(f1806,plain,
    ( spl0_80
    | ~ spl0_168
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1802,f598,f355,f1141,f589]) ).

fof(f1807,plain,
    ( spl0_165
    | ~ spl0_90
    | ~ spl0_32
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1801,f640,f355,f636,f1042]) ).

fof(f1808,plain,
    ( spl0_116
    | ~ spl0_117
    | ~ spl0_32
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1799,f766,f355,f762,f757]) ).

fof(f1810,plain,
    ( ~ c3_1(a3)
    | c2_1(a3)
    | ~ spl0_35
    | ~ spl0_151 ),
    inference(resolution,[],[f368,f921]) ).

fof(f1824,plain,
    ( spl0_149
    | ~ spl0_150
    | ~ spl0_35
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1810,f920,f367,f916,f911]) ).

fof(f1831,plain,
    ( ~ spl0_69
    | ~ spl0_158
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f952,f542,f321,f956,f538]) ).

fof(f1832,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1581,f570,f321,f561,f566]) ).

fof(f1837,plain,
    ( spl0_178
    | ~ spl0_74
    | ~ spl0_36
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1582,f570,f372,f561,f1587]) ).

fof(f1857,plain,
    ( ~ c3_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(resolution,[],[f318,f557]) ).

fof(f1860,plain,
    ( ~ spl0_72
    | ~ spl0_71
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1857,f556,f317,f547,f552]) ).

fof(f1863,plain,
    ( ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_23
    | ~ spl0_148 ),
    inference(resolution,[],[f322,f907]) ).

fof(f1867,plain,
    ( ~ c3_1(a38)
    | ~ c1_1(a38)
    | ~ spl0_23
    | ~ spl0_94 ),
    inference(resolution,[],[f322,f655]) ).

fof(f1872,plain,
    ( ~ spl0_93
    | ~ spl0_170
    | ~ spl0_23
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1867,f654,f321,f1186,f650]) ).

fof(f1873,plain,
    ( ~ spl0_175
    | ~ spl0_147
    | ~ spl0_23
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1863,f906,f321,f902,f1435]) ).

fof(f1875,plain,
    ( ~ c3_1(a7)
    | c2_1(a7)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f373,f907]) ).

fof(f1885,plain,
    ( spl0_146
    | ~ spl0_147
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1875,f906,f372,f902,f897]) ).

fof(f1888,plain,
    ( ~ c1_1(a9)
    | c2_1(a9)
    | ~ spl0_37
    | ~ spl0_145 ),
    inference(resolution,[],[f377,f893]) ).

fof(f1889,plain,
    ( ~ c1_1(a16)
    | c2_1(a16)
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(resolution,[],[f377,f823]) ).

fof(f1891,plain,
    ( ~ c1_1(a38)
    | c2_1(a38)
    | ~ spl0_37
    | ~ spl0_94 ),
    inference(resolution,[],[f377,f655]) ).

fof(f1895,plain,
    ( spl0_92
    | ~ spl0_93
    | ~ spl0_37
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1891,f654,f376,f650,f645]) ).

fof(f1896,plain,
    ( spl0_169
    | ~ spl0_129
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1889,f822,f376,f818,f1172]) ).

fof(f1897,plain,
    ( spl0_144
    | ~ spl0_173
    | ~ spl0_37
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1888,f892,f376,f1257,f888]) ).

fof(f1905,plain,
    ( ~ c2_1(a42)
    | c1_1(a42)
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(resolution,[],[f409,f641]) ).

fof(f1906,plain,
    ( ~ c2_1(a70)
    | c1_1(a70)
    | ~ spl0_44
    | ~ spl0_82 ),
    inference(resolution,[],[f409,f599]) ).

fof(f1909,plain,
    ( spl0_81
    | ~ spl0_168
    | ~ spl0_44
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1906,f598,f408,f1141,f594]) ).

fof(f1910,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1905,f640,f408,f636,f631]) ).

fof(f1924,plain,
    ( c3_1(a11)
    | c2_1(a11)
    | ~ spl0_48
    | spl0_141 ),
    inference(resolution,[],[f431,f875]) ).

fof(f1925,plain,
    ( c3_1(a13)
    | c2_1(a13)
    | ~ spl0_48
    | spl0_138 ),
    inference(resolution,[],[f431,f861]) ).

fof(f1934,plain,
    ( c3_1(a70)
    | c2_1(a70)
    | ~ spl0_48
    | spl0_81 ),
    inference(resolution,[],[f431,f595]) ).

fof(f1936,plain,
    ( spl0_168
    | spl0_80
    | ~ spl0_48
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1934,f594,f430,f589,f1141]) ).

fof(f1938,plain,
    ( spl0_163
    | spl0_137
    | ~ spl0_48
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1925,f860,f430,f855,f1019]) ).

fof(f1939,plain,
    ( spl0_140
    | spl0_172
    | ~ spl0_48
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1924,f874,f430,f1204,f869]) ).

fof(f1950,plain,
    ( ~ c1_1(a31)
    | c3_1(a31)
    | ~ spl0_54
    | spl0_102 ),
    inference(resolution,[],[f459,f693]) ).

fof(f1955,plain,
    ( spl0_101
    | ~ spl0_103
    | ~ spl0_54
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1950,f692,f458,f696,f687]) ).

fof(f1973,plain,
    ( c2_1(a31)
    | c3_1(a31)
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(resolution,[],[f471,f697]) ).

fof(f1979,plain,
    ( spl0_101
    | spl0_166
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1973,f696,f470,f1060,f687]) ).

fof(f1986,plain,
    ( ~ c3_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_57
    | spl0_125 ),
    inference(resolution,[],[f475,f800]) ).

fof(f1990,plain,
    ( ~ c3_1(a36)
    | ~ c2_1(a36)
    | ~ spl0_57
    | spl0_98 ),
    inference(resolution,[],[f475,f674]) ).

fof(f1995,plain,
    ( ~ c3_1(a54)
    | ~ c2_1(a54)
    | ~ spl0_57
    | spl0_161 ),
    inference(resolution,[],[f475,f998]) ).

fof(f1997,plain,
    ( ~ spl0_66
    | ~ spl0_65
    | ~ spl0_57
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1995,f997,f474,f518,f523]) ).

fof(f1999,plain,
    ( ~ spl0_100
    | ~ spl0_99
    | ~ spl0_57
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1990,f673,f474,f678,f682]) ).

fof(f2001,plain,
    ( ~ spl0_171
    | ~ spl0_127
    | ~ spl0_57
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1986,f799,f474,f808,f1196]) ).

fof(f2005,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_58 ),
    inference(resolution,[],[f479,f322]) ).

fof(f2008,plain,
    ( ~ c1_1(a14)
    | c2_1(a14)
    | ~ spl0_58
    | spl0_135 ),
    inference(resolution,[],[f479,f847]) ).

fof(f2013,plain,
    ( ~ c1_1(a31)
    | c2_1(a31)
    | ~ spl0_58
    | spl0_102 ),
    inference(resolution,[],[f479,f693]) ).

fof(f2014,plain,
    ( ~ c1_1(a37)
    | c2_1(a37)
    | ~ spl0_58
    | spl0_95 ),
    inference(resolution,[],[f479,f660]) ).

fof(f2016,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2005]) ).

fof(f2019,plain,
    ( spl0_167
    | ~ spl0_97
    | ~ spl0_58
    | spl0_95 ),
    inference(avatar_split_clause,[],[f2014,f659,f478,f668,f1105]) ).

fof(f2020,plain,
    ( spl0_166
    | ~ spl0_103
    | ~ spl0_58
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2013,f692,f478,f696,f1060]) ).

fof(f2022,plain,
    ( spl0_134
    | ~ spl0_136
    | ~ spl0_58
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2008,f846,f478,f850,f841]) ).

fof(f2025,plain,
    ( spl0_35
    | ~ spl0_23
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2016,f478,f321,f367]) ).

fof(f2029,plain,
    ( spl0_143
    | spl0_144
    | ~ spl0_39
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1252,f892,f387,f888,f883]) ).

fof(f2037,plain,
    ( c2_1(a16)
    | c3_1(a16)
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(resolution,[],[f388,f823]) ).

fof(f2040,plain,
    ( c2_1(a70)
    | c3_1(a70)
    | ~ spl0_39
    | ~ spl0_82 ),
    inference(resolution,[],[f388,f599]) ).

fof(f2042,plain,
    ( spl0_80
    | spl0_168
    | ~ spl0_39
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2040,f598,f387,f1141,f589]) ).

fof(f2043,plain,
    ( spl0_128
    | spl0_169
    | ~ spl0_39
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2037,f822,f387,f1172,f813]) ).

fof(f2049,plain,
    ( c3_1(a2)
    | c2_1(a2)
    | ~ spl0_59
    | spl0_154 ),
    inference(resolution,[],[f485,f935]) ).

fof(f2056,plain,
    ( c3_1(a31)
    | c2_1(a31)
    | ~ spl0_59
    | spl0_102 ),
    inference(resolution,[],[f485,f693]) ).

fof(f2062,plain,
    ( spl0_166
    | spl0_101
    | ~ spl0_59
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2056,f692,f484,f687,f1060]) ).

fof(f2064,plain,
    ( spl0_153
    | spl0_152
    | ~ spl0_59
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2049,f934,f484,f925,f930]) ).

fof(f2082,plain,
    ( ~ c2_1(a13)
    | c1_1(a13)
    | ~ spl0_62
    | spl0_139 ),
    inference(resolution,[],[f503,f865]) ).

fof(f2084,plain,
    ( ~ c2_1(a18)
    | c1_1(a18)
    | ~ spl0_62
    | spl0_126 ),
    inference(resolution,[],[f503,f805]) ).

fof(f2090,plain,
    ( ~ c2_1(a58)
    | c1_1(a58)
    | ~ spl0_62
    | spl0_84 ),
    inference(resolution,[],[f503,f609]) ).

fof(f2093,plain,
    ( spl0_83
    | ~ spl0_85
    | ~ spl0_62
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2090,f608,f502,f612,f603]) ).

fof(f2099,plain,
    ( spl0_125
    | ~ spl0_171
    | ~ spl0_62
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2084,f804,f502,f1196,f799]) ).

fof(f2101,plain,
    ( spl0_138
    | ~ spl0_163
    | ~ spl0_62
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2082,f864,f502,f1019,f860]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f254]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s9,plain,
    ( spl0_12
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s10,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_23 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s11,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s12,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_23
    | spl0_26 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s14,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s15,plain,
    ( spl0_4
    | ~ spl0_21
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s16,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s17,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s18,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s19,plain,
    ( spl0_15
    | ~ spl0_21
    | spl0_23
    | spl0_34 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s20,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s21,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s22,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_21
    | spl0_36 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s23,plain,
    ( spl0_12
    | ~ spl0_21
    | spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s27,plain,
    ( ~ spl0_21
    | spl0_34
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s28,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s29,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_21
    | spl0_39 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s30,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s33,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_32
    | spl0_42 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s36,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_38
    | spl0_44 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s37,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s38,plain,
    ( ~ spl0_21
    | spl0_41
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s39,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s41,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_25
    | spl0_47 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s42,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_35
    | spl0_47 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s43,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_36
    | spl0_47 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s44,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_21
    | spl0_48 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s45,plain,
    ( spl0_10
    | spl0_14
    | ~ spl0_21
    | spl0_49 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s46,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s47,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_31
    | spl0_49 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s48,plain,
    ( spl0_4
    | spl0_19
    | ~ spl0_21
    | spl0_51 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s49,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s51,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_41
    | spl0_53 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s52,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_31
    | spl0_53 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s53,plain,
    ( ~ spl0_21
    | spl0_46
    | spl0_48
    | spl0_53 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s54,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_21
    | spl0_54 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s56,plain,
    ( spl0_7
    | ~ spl0_21
    | spl0_43
    | spl0_55 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s58,plain,
    ( ~ spl0_21
    | spl0_34
    | spl0_38
    | spl0_55 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s60,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s62,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_30
    | spl0_58 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s63,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_28
    | spl0_58 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s64,plain,
    ( ~ spl0_21
    | spl0_39
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s67,plain,
    ( spl0_16
    | ~ spl0_21
    | spl0_37
    | spl0_59 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s68,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_44
    | spl0_59 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s69,plain,
    ( spl0_7
    | ~ spl0_21
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s70,plain,
    ( ~ spl0_21
    | spl0_48
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | spl0_24
    | spl0_49
    | spl0_59 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s74,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_24
    | spl0_62 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s75,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_35
    | spl0_62 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s76,plain,
    ( spl0_8
    | ~ spl0_21
    | spl0_47
    | spl0_62 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s81,plain,
    ( ~ spl0_26
    | spl0_65 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s82,plain,
    ( ~ spl0_26
    | spl0_66 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s83,plain,
    ( ~ spl0_26
    | spl0_67 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s86,plain,
    ( ~ spl0_19
    | spl0_69 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | spl0_70 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s89,plain,
    ( ~ spl0_3
    | spl0_71 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s90,plain,
    ( ~ spl0_3
    | spl0_72 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s91,plain,
    ( ~ spl0_3
    | spl0_73 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s92,plain,
    ( ~ spl0_3
    | spl0_21 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s93,plain,
    ( ~ spl0_16
    | spl0_74 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s94,plain,
    ( ~ spl0_16
    | spl0_75 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s95,plain,
    ( ~ spl0_16
    | spl0_76 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s102,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | spl0_82 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s105,plain,
    ( ~ spl0_12
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s106,plain,
    ( ~ spl0_12
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s107,plain,
    ( ~ spl0_12
    | spl0_85 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s109,plain,
    ( ~ spl0_40
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s110,plain,
    ( ~ spl0_40
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s111,plain,
    ( ~ spl0_40
    | spl0_88 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s113,plain,
    ( ~ spl0_25
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s114,plain,
    ( ~ spl0_25
    | spl0_90 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s115,plain,
    ( ~ spl0_25
    | spl0_91 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s117,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s118,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s119,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s121,plain,
    ( ~ spl0_2
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s122,plain,
    ( ~ spl0_2
    | spl0_96 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s123,plain,
    ( ~ spl0_2
    | spl0_97 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s124,plain,
    ( ~ spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s125,plain,
    ( ~ spl0_4
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s126,plain,
    ( ~ spl0_4
    | spl0_99 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s127,plain,
    ( ~ spl0_4
    | spl0_100 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s129,plain,
    ( ~ spl0_41
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s130,plain,
    ( ~ spl0_41
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s131,plain,
    ( ~ spl0_41
    | spl0_103 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s133,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s134,plain,
    ( ~ spl0_10
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s135,plain,
    ( ~ spl0_10
    | spl0_106 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s137,plain,
    ( ~ spl0_9
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s138,plain,
    ( ~ spl0_9
    | spl0_108 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s139,plain,
    ( ~ spl0_9
    | spl0_109 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s141,plain,
    ( ~ spl0_43
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s142,plain,
    ( ~ spl0_43
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s149,plain,
    ( ~ spl0_13
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s150,plain,
    ( ~ spl0_13
    | spl0_117 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s151,plain,
    ( ~ spl0_13
    | spl0_118 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s153,plain,
    ( ~ spl0_38
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s154,plain,
    ( ~ spl0_38
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s155,plain,
    ( ~ spl0_38
    | spl0_121 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s157,plain,
    ( ~ spl0_27
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s158,plain,
    ( ~ spl0_27
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s159,plain,
    ( ~ spl0_27
    | spl0_124 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s161,plain,
    ( ~ spl0_33
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s162,plain,
    ( ~ spl0_33
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s163,plain,
    ( ~ spl0_33
    | spl0_127 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s165,plain,
    ( ~ spl0_11
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s166,plain,
    ( ~ spl0_11
    | spl0_129 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s167,plain,
    ( ~ spl0_11
    | spl0_130 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s169,plain,
    ( ~ spl0_15
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s170,plain,
    ( ~ spl0_15
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s171,plain,
    ( ~ spl0_15
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s173,plain,
    ( ~ spl0_29
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s174,plain,
    ( ~ spl0_29
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s175,plain,
    ( ~ spl0_29
    | spl0_136 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s177,plain,
    ( ~ spl0_30
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s178,plain,
    ( ~ spl0_30
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s179,plain,
    ( ~ spl0_30
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s181,plain,
    ( ~ spl0_7
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s182,plain,
    ( ~ spl0_7
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s183,plain,
    ( ~ spl0_7
    | spl0_142 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s185,plain,
    ( ~ spl0_5
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s186,plain,
    ( ~ spl0_5
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s187,plain,
    ( ~ spl0_5
    | spl0_145 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s189,plain,
    ( ~ spl0_20
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s190,plain,
    ( ~ spl0_20
    | spl0_147 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s191,plain,
    ( ~ spl0_20
    | spl0_148 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s193,plain,
    ( ~ spl0_8
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s194,plain,
    ( ~ spl0_8
    | spl0_150 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s195,plain,
    ( ~ spl0_8
    | spl0_151 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s197,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s198,plain,
    ( ~ spl0_1
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s199,plain,
    ( ~ spl0_1
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s200,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s201,plain,
    ( ~ spl0_24
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s202,plain,
    ( ~ spl0_24
    | spl0_156 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s203,plain,
    ( ~ spl0_24
    | spl0_157 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s206,plain,
    ( ~ spl0_28
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s212,plain,
    ( ~ spl0_28
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s215,plain,
    ( ~ spl0_45
    | spl0_137
    | spl0_138
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s218,plain,
    ( ~ spl0_45
    | spl0_89
    | ~ spl0_90
    | spl0_165 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s227,plain,
    ( ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s228,plain,
    ( spl0_22
    | ~ spl0_28
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s229,plain,
    ( spl0_22
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s231,plain,
    ( ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s236,plain,
    ( ~ spl0_22
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1137]) ).

cnf(s237,plain,
    ( ~ spl0_45
    | spl0_80
    | spl0_81
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s238,plain,
    ( ~ spl0_46
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s247,plain,
    ( ~ spl0_34
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s248,plain,
    ( ~ spl0_32
    | spl0_128
    | ~ spl0_130
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s250,plain,
    ( ~ spl0_39
    | spl0_92
    | ~ spl0_94
    | spl0_170 ),
    inference(sat_conversion,[],[f1189]) ).

cnf(s254,plain,
    ( ~ spl0_39
    | spl0_140
    | ~ spl0_142
    | spl0_172 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s258,plain,
    ( ~ spl0_47
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s260,plain,
    ( ~ spl0_47
    | spl0_125
    | ~ spl0_127
    | spl0_171 ),
    inference(sat_conversion,[],[f1238]) ).

cnf(s261,plain,
    ( ~ spl0_47
    | spl0_140
    | spl0_141
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s265,plain,
    ( ~ spl0_47
    | spl0_107
    | ~ spl0_108
    | spl0_160 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s272,plain,
    ( ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1264]) ).

cnf(s275,plain,
    ( ~ spl0_51
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s277,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1290]) ).

cnf(s281,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1309]) ).

cnf(s297,plain,
    ( ~ spl0_53
    | spl0_101
    | spl0_102
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s300,plain,
    ( ~ spl0_31
    | spl0_101
    | ~ spl0_103
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1402]) ).

cnf(s302,plain,
    ( ~ spl0_31
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1406]) ).

cnf(s309,plain,
    ( ~ spl0_44
    | spl0_45
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1424]) ).

cnf(s320,plain,
    ( spl0_45
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s322,plain,
    ( ~ spl0_45
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s324,plain,
    ( ~ spl0_56
    | spl0_92
    | ~ spl0_93
    | spl0_170 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s330,plain,
    ( ~ spl0_46
    | spl0_48
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1536]) ).

cnf(s333,plain,
    ( ~ spl0_48
    | spl0_131
    | spl0_132
    | spl0_133 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s342,plain,
    ( ~ spl0_36
    | spl0_140
    | ~ spl0_142
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s346,plain,
    ( ~ spl0_46
    | spl0_143
    | ~ spl0_145
    | spl0_173 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s354,plain,
    ( ~ spl0_35
    | ~ spl0_96
    | ~ spl0_97
    | spl0_167 ),
    inference(sat_conversion,[],[f1598]) ).

cnf(s361,plain,
    ( ~ spl0_55
    | spl0_126
    | ~ spl0_127
    | spl0_171 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s363,plain,
    ( ~ spl0_55
    | spl0_95
    | ~ spl0_96
    | spl0_167 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s367,plain,
    ( ~ spl0_50
    | ~ spl0_68
    | ~ spl0_70
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s369,plain,
    ( ~ spl0_22
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s376,plain,
    ( ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70
    | spl0_158 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s379,plain,
    ( ~ spl0_34
    | spl0_143
    | ~ spl0_145
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s394,plain,
    ( ~ spl0_53
    | spl0_137
    | spl0_139
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1672]) ).

cnf(s399,plain,
    ( ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69
    | spl0_158 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s400,plain,
    ( ~ spl0_31
    | spl0_128
    | ~ spl0_129
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s402,plain,
    ( ~ spl0_42
    | spl0_141
    | ~ spl0_142
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s403,plain,
    ( ~ spl0_42
    | ~ spl0_147
    | ~ spl0_148
    | spl0_175 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s406,plain,
    ( ~ spl0_42
    | ~ spl0_49
    | spl0_57 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s416,plain,
    ( ~ spl0_53
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s427,plain,
    ( ~ spl0_48
    | spl0_110
    | spl0_111
    | spl0_164 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s431,plain,
    ( ~ spl0_55
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s432,plain,
    ( ~ spl0_59
    | spl0_137
    | spl0_139
    | spl0_163 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s439,plain,
    ( ~ spl0_47
    | spl0_110
    | spl0_111
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s446,plain,
    ( ~ spl0_32
    | spl0_80
    | ~ spl0_82
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s447,plain,
    ( ~ spl0_32
    | ~ spl0_90
    | ~ spl0_91
    | spl0_165 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s448,plain,
    ( ~ spl0_32
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1808]) ).

cnf(s451,plain,
    ( ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s458,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s459,plain,
    ( ~ spl0_23
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s465,plain,
    ( ~ spl0_36
    | ~ spl0_74
    | ~ spl0_76
    | spl0_178 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s476,plain,
    ( ~ spl0_22
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s478,plain,
    ( ~ spl0_23
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s479,plain,
    ( ~ spl0_23
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s481,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s482,plain,
    ( ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s483,plain,
    ( ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130
    | spl0_169 ),
    inference(sat_conversion,[],[f1896]) ).

cnf(s484,plain,
    ( ~ spl0_37
    | spl0_144
    | ~ spl0_145
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s486,plain,
    ( ~ spl0_44
    | spl0_81
    | ~ spl0_82
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s487,plain,
    ( ~ spl0_44
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s500,plain,
    ( ~ spl0_48
    | spl0_80
    | spl0_81
    | spl0_168 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s502,plain,
    ( ~ spl0_48
    | spl0_137
    | spl0_138
    | spl0_163 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s503,plain,
    ( ~ spl0_48
    | spl0_140
    | spl0_141
    | spl0_172 ),
    inference(sat_conversion,[],[f1939]) ).

cnf(s504,plain,
    ( ~ spl0_54
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s509,plain,
    ( ~ spl0_56
    | spl0_101
    | ~ spl0_103
    | spl0_166 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s512,plain,
    ( ~ spl0_57
    | ~ spl0_65
    | ~ spl0_66
    | spl0_161 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s513,plain,
    ( ~ spl0_57
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s515,plain,
    ( ~ spl0_57
    | spl0_125
    | ~ spl0_127
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s517,plain,
    ( ~ spl0_58
    | spl0_95
    | ~ spl0_97
    | spl0_167 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s518,plain,
    ( ~ spl0_58
    | spl0_102
    | ~ spl0_103
    | spl0_166 ),
    inference(sat_conversion,[],[f2020]) ).

cnf(s520,plain,
    ( ~ spl0_58
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s522,plain,
    ( ~ spl0_23
    | spl0_35
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s526,plain,
    ( ~ spl0_39
    | spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s532,plain,
    ( ~ spl0_39
    | spl0_80
    | ~ spl0_82
    | spl0_168 ),
    inference(sat_conversion,[],[f2042]) ).

cnf(s533,plain,
    ( ~ spl0_39
    | spl0_128
    | ~ spl0_130
    | spl0_169 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s535,plain,
    ( ~ spl0_59
    | spl0_101
    | spl0_102
    | spl0_166 ),
    inference(sat_conversion,[],[f2062]) ).

cnf(s537,plain,
    ( ~ spl0_59
    | spl0_152
    | spl0_153
    | spl0_154 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s540,plain,
    ( ~ spl0_62
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s543,plain,
    ( ~ spl0_62
    | spl0_125
    | spl0_126
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2099]) ).

cnf(s544,plain,
    ( ~ spl0_62
    | spl0_138
    | spl0_139
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2101]) ).

cnf(s545,plain,
    ( ~ spl0_23
    | spl0_4
    | spl0_22
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s399,s458,s85,s86,s87,s48,s277,s47,s46,s229]) ).

cnf(s546,plain,
    ( spl0_28
    | spl0_46
    | spl0_23
    | spl0_4
    | ~ spl0_21 ),
    inference(rat,[],[s333,s169,s170,s171,s19,s247,s165,s166,s167,s53,s63,s416,s520,s157,s158,s159,s173,s174,s175,s15,s16]) ).

cnf(s547,plain,
    ( spl0_4
    | spl0_2
    | spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s206,s85,s86,s87,s48,s277,s46,s228,s546,s238,s101,s102,s103,s14,s545]) ).

cnf(s548,plain,
    ( spl0_58
    | spl0_28
    | spl0_57
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s406,s33,s47,s248,s400,s533,s165,s166,s167,s64,s63]) ).

cnf(s549,plain,
    ( ~ spl0_29
    | ~ spl0_58 ),
    inference(rat,[],[s520,s173,s174,s175]) ).

cnf(s552,plain,
    ( ~ spl0_27
    | ~ spl0_53 ),
    inference(rat,[],[s416,s157,s158,s159]) ).

cnf(s553,plain,
    ( ~ spl0_25
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(rat,[],[s231,s447,s114,s115]) ).

cnf(s555,plain,
    ( ~ spl0_41
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(rat,[],[s297,s518,s129,s130,s131]) ).

cnf(s556,plain,
    ( spl0_102
    | spl0_101
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(rat,[],[s535,s297]) ).

cnf(s557,plain,
    ( ~ spl0_38
    | ~ spl0_45 ),
    inference(rat,[],[s322,s153,s154,s155]) ).

cnf(s558,plain,
    ( ~ spl0_53
    | spl0_39
    | ~ spl0_58
    | spl0_46
    | ~ spl0_21 ),
    inference(rat,[],[s487,s113,s114,s115,s28,s557,s309,s38,s555]) ).

cnf(s559,plain,
    ( ~ spl0_41
    | ~ spl0_31
    | ~ spl0_58 ),
    inference(rat,[],[s518,s300,s129,s130,s131]) ).

cnf(s560,plain,
    ( spl0_28
    | ~ spl0_6
    | spl0_22
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s53,s558,s500,s532,s486,s38,s559,s47,s229,s16,s549,s548,s513,s125,s126,s127,s547,s238,s101,s102,s103]) ).

cnf(s561,plain,
    ( ~ spl0_58
    | ~ spl0_31
    | spl0_80
    | spl0_81
    | ~ spl0_82
    | ~ spl0_21 ),
    inference(rat,[],[s53,s558,s500,s532,s486,s38,s559,s238]) ).

cnf(s562,plain,
    ( ~ spl0_6
    | spl0_22
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s302,s201,s202,s203,s71,s535,s300,s129,s130,s131,s38,s486,s532,s64,s561,s47,s228,s560,s238,s101,s102,s103,s513,s125,s126,s127,s547]) ).

cnf(s564,plain,
    ( spl0_42
    | spl0_41
    | ~ spl0_50
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s258,s41,s109,s110,s111,s553,s30,s33]) ).

cnf(s565,plain,
    ( ~ spl0_20
    | ~ spl0_42
    | ~ spl0_23 ),
    inference(rat,[],[s403,s479,s190,s191]) ).

cnf(s566,plain,
    ( ~ spl0_24
    | ~ spl0_31 ),
    inference(rat,[],[s302,s201,s202,s203]) ).

cnf(s567,plain,
    ( spl0_20
    | spl0_24
    | spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s540,s105,s106,s107,s74,s9]) ).

cnf(s568,plain,
    ( spl0_22
    | spl0_2
    | ~ spl0_21 ),
    inference(rat,[],[s535,s300,s129,s130,s131,s564,s565,s567,s71,s566,s47,s46,s229,s14,s562]) ).

cnf(s569,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s568,s476,s89,s90,s91,s92,s1]) ).

cnf(s571,plain,
    ( ~ spl0_19
    | ~ spl0_23
    | ~ spl0_31 ),
    inference(rat,[],[s399,s458,s85,s86,s87]) ).

cnf(s572,plain,
    ( ~ spl0_11
    | spl0_36
    | ~ spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s27,s483,s247,s400,s165,s166,s167]) ).

cnf(s573,plain,
    ( ~ spl0_31
    | ~ spl0_50
    | spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s399,s367,s85,s86,s87,s22,s572,s481,s189,s190,s191,s567,s566]) ).

cnf(s574,plain,
    ( ~ spl0_20
    | spl0_41
    | ~ spl0_23
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s258,s109,s110,s111,s43,s30,s481,s565,s189,s190,s191]) ).

cnf(s575,plain,
    ( spl0_48
    | ~ spl0_39
    | spl0_57
    | ~ spl0_53
    | spl0_31
    | spl0_52
    | ~ spl0_21 ),
    inference(rat,[],[s432,s394,s177,s179,s17,s248,s533,s165,s167,s49,s70]) ).

cnf(s576,plain,
    ( spl0_81
    | spl0_80
    | ~ spl0_48
    | ~ spl0_45 ),
    inference(rat,[],[s500,s237]) ).

cnf(s578,plain,
    ( ~ spl0_8
    | ~ spl0_35 ),
    inference(rat,[],[s451,s193,s194,s195]) ).

cnf(s579,plain,
    ( ~ spl0_40
    | ~ spl0_47 ),
    inference(rat,[],[s258,s109,s110,s111]) ).

cnf(s581,plain,
    ( ~ spl0_30
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(rat,[],[s502,s394,s177,s178,s179]) ).

cnf(s583,plain,
    ( ~ spl0_19
    | ~ spl0_34
    | ~ spl0_23 ),
    inference(rat,[],[s376,s458,s86,s87]) ).

cnf(s586,plain,
    ( ~ spl0_7
    | ~ spl0_48
    | ~ spl0_42 ),
    inference(rat,[],[s503,s402,s181,s182,s183]) ).

cnf(s587,plain,
    ( ~ spl0_43
    | ~ spl0_48
    | ~ spl0_47 ),
    inference(rat,[],[s427,s439,s141,s142]) ).

cnf(s588,plain,
    ( ~ spl0_10
    | ~ spl0_55 ),
    inference(rat,[],[s431,s133,s134,s135]) ).

cnf(s589,plain,
    ( ~ spl0_14
    | ~ spl0_39
    | ~ spl0_23 ),
    inference(rat,[],[s250,s478,s117,s118,s119]) ).

cnf(s590,plain,
    ( spl0_46
    | ~ spl0_47
    | spl0_41
    | ~ spl0_58
    | ~ spl0_23
    | spl0_31
    | spl0_52
    | spl0_49
    | ~ spl0_2 ),
    inference(rat,[],[s56,s587,s586,s575,s513,s125,s126,s127,s48,s583,s58,s588,s45,s589,s557,s309,s558,s38,s275,s121,s122,s123,s51,s574,s30,s579,s124]) ).

cnf(s591,plain,
    ( ~ spl0_48
    | spl0_38
    | ~ spl0_42
    | ~ spl0_47
    | ~ spl0_53
    | ~ spl0_23
    | spl0_31
    | ~ spl0_50
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s589,s45,s28,s588,s553,s56,s17,s587,s586,s581]) ).

cnf(s592,plain,
    ( spl0_41
    | ~ spl0_58
    | ~ spl0_23
    | spl0_49
    | spl0_22
    | ~ spl0_2 ),
    inference(rat,[],[s487,s113,s114,s115,s28,s589,s45,s588,s58,s247,s165,s166,s167,s68,s49,s330,s591,s557,s320,s590,s30,s579,s76,s540,s105,s106,s107,s51,s9,s574,s281,s573,s46,s124,s578,s522]) ).

cnf(s593,plain,
    ( ~ spl0_39
    | spl0_43
    | ~ spl0_47
    | ~ spl0_23
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s261,s254,s181,s182,s183,s56,s588,s45,s589]) ).

cnf(s595,plain,
    ( ~ spl0_7
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(rat,[],[s261,s503,s181,s182]) ).

cnf(s596,plain,
    ( ~ spl0_48
    | spl0_137
    | spl0_138
    | spl0_139
    | spl0_54
    | spl0_8
    | ~ spl0_50
    | ~ spl0_21 ),
    inference(rat,[],[s265,s272,s137,s138,s139,s54,s588,s56,s595,s587,s76,s544,s502]) ).

cnf(s597,plain,
    ( ~ spl0_33
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(rat,[],[s515,s260,s161,s163]) ).

cnf(s598,plain,
    ( ~ spl0_25
    | ~ spl0_44 ),
    inference(rat,[],[s487,s113,s114,s115]) ).

cnf(s599,plain,
    ( spl0_33
    | spl0_25
    | spl0_34
    | ~ spl0_23
    | spl0_1 ),
    inference(rat,[],[s28,s557,s589,s37,s18,s124,s569]) ).

cnf(s600,plain,
    ( ~ spl0_12
    | ~ spl0_62 ),
    inference(rat,[],[s540,s105,s106,s107]) ).

cnf(s601,plain,
    ( ~ spl0_58
    | ~ spl0_23
    | spl0_49
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s481,s189,s190,s191,s9,s600,s76,s43,s597,s599,s598,s70,s68,s247,s330,s165,s166,s167,s53,s49,s596,s177,s178,s179,s52,s504,s555,s129,s130,s131,s592,s578,s522,s281,s573,s46,s124,s569]) ).

cnf(s602,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_58
    | ~ spl0_23
    | ~ spl0_50
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s218,s231,s113,s114,s115,s28,s557,s37,s597,s64,s593,s587,s124,s569]) ).

cnf(s603,plain,
    ( ~ spl0_13
    | ~ spl0_32 ),
    inference(rat,[],[s448,s149,s150,s151]) ).

cnf(s604,plain,
    ( ~ spl0_53
    | spl0_47
    | ~ spl0_48
    | ~ spl0_23
    | spl0_31
    | ~ spl0_50
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s589,s28,s45,s557,s588,s309,s60,s68,s509,s556,s297,s129,s130,s131,s39,s603,s553,s17,s581]) ).

cnf(s605,plain,
    ( ~ spl0_48
    | spl0_58
    | ~ spl0_23
    | spl0_31
    | ~ spl0_50
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s578,s76,s75,s544,s502,s177,s178,s179,s52,s604,s602,s124,s569]) ).

cnf(s606,plain,
    ( ~ spl0_44
    | ~ spl0_53
    | ~ spl0_47
    | spl0_48
    | ~ spl0_23
    | spl0_31
    | spl0_52
    | spl0_1 ),
    inference(rat,[],[s575,s597,s28,s599,s557,s598,s309,s247,s166,s167,s165,s49,s124,s569]) ).

cnf(s607,plain,
    ( ~ spl0_53
    | ~ spl0_47
    | spl0_48
    | ~ spl0_23
    | spl0_31
    | spl0_52
    | spl0_1 ),
    inference(rat,[],[s556,s129,s130,s38,s330,s68,s606,s124,s569]) ).

cnf(s608,plain,
    ( ~ spl0_47
    | spl0_48
    | ~ spl0_23
    | spl0_31
    | spl0_52
    | spl0_1 ),
    inference(rat,[],[s599,s597,s598,s70,s68,s330,s53,s607,s247,s166,s167,s165,s49,s124,s569]) ).

cnf(s609,plain,
    ( spl0_62
    | spl0_47
    | spl0_1 ),
    inference(rat,[],[s578,s76,s75,s124,s569]) ).

cnf(s610,plain,
    ( spl0_47
    | spl0_31
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s481,s189,s190,s191,s9,s600,s609,s43,s124,s569]) ).

cnf(s611,plain,
    ( ~ spl0_23
    | spl0_49
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s605,s608,s601,s281,s610,s573,s46,s124,s569]) ).

cnf(s612,plain,
    ( ~ spl0_48
    | spl0_80
    | spl0_81
    | ~ spl0_82
    | ~ spl0_47
    | spl0_31
    | ~ spl0_50
    | spl0_1 ),
    inference(rat,[],[s578,s75,s596,s543,s504,s361,s177,s178,s179,s129,s130,s131,s161,s162,s163,s17,s38,s37,s446,s486,s56,s576,s500,s595,s587,s124,s569,s238]) ).

cnf(s614,plain,
    ( ~ spl0_44
    | ~ spl0_53
    | spl0_80
    | spl0_81
    | ~ spl0_82
    | ~ spl0_21 ),
    inference(rat,[],[s28,s532,s557,s486,s598,s309]) ).

cnf(s615,plain,
    ( spl0_49
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s556,s129,s130,s38,s68,s614,s53,s612,s238,s101,s102,s103,s14,s611,s610,s573,s46,s124,s569]) ).

cnf(s616,plain,
    ( spl0_22
    | spl0_1 ),
    inference(rat,[],[s70,s513,s432,s502,s125,s126,s127,s544,s546,s177,s178,s179,s238,s62,s75,s101,s102,s103,s517,s354,s14,s227,s228,s229,s615,s124,s123,s122,s121,s569]) ).

cnf(s618,plain,
    ( ~ spl0_30
    | ~ spl0_48
    | ~ spl0_62 ),
    inference(rat,[],[s502,s544,s177,s178,s179]) ).

cnf(s619,plain,
    ( spl0_31
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s483,s248,s165,s166,s167,s17,s21,s23,s600,s75,s354,s236,s616,s123,s122,s124,s569]) ).

cnf(s620,plain,
    ( ~ spl0_3
    | ~ spl0_22 ),
    inference(rat,[],[s476,s89,s90,s91]) ).

cnf(s622,plain,
    ( ~ spl0_14
    | ~ spl0_23
    | ~ spl0_56 ),
    inference(rat,[],[s324,s478,s117,s118,s119]) ).

cnf(s623,plain,
    ( ~ spl0_23
    | spl0_1 ),
    inference(rat,[],[s459,s93,s94,s95,s67,s484,s346,s185,s186,s187,s29,s622,s60,s53,s309,s68,s254,s342,s43,s597,s37,s70,s618,s181,s183,s69,s432,s544,s178,s75,s177,s179,s619,s557,s58,s247,s166,s167,s165,s21,s566,s20,s620,s354,s124,s363,s236,s616,s123,s122,s121,s569]) ).

cnf(s624,plain,
    spl0_1,
    inference(rat,[],[s42,s623,s597,s37,s70,s557,s432,s58,s544,s247,s618,s177,s178,s179,s165,s166,s167,s619,s21,s566,s20,s620,s75,s363,s354,s236,s616,s121,s122,s123,s124,s569]) ).

cnf(s625,plain,
    spl0_21,
    inference(rat,[],[s200,s624]) ).

cnf(s626,plain,
    ~ spl0_154,
    inference(rat,[],[s199,s624]) ).

cnf(s627,plain,
    ~ spl0_153,
    inference(rat,[],[s198,s624]) ).

cnf(s628,plain,
    ~ spl0_152,
    inference(rat,[],[s197,s624]) ).

cnf(s629,plain,
    ~ spl0_59,
    inference(rat,[],[s537,s626,s627,s628]) ).

cnf(s630,plain,
    ( ~ spl0_47
    | spl0_49
    | ~ spl0_48
    | spl0_25
    | ~ spl0_23 ),
    inference(rat,[],[s557,s28,s69,s593,s595,s587,s625,s629]) ).

cnf(s631,plain,
    ( spl0_22
    | ~ spl0_48
    | spl0_31
    | ~ spl0_23 ),
    inference(rat,[],[s342,s503,s181,s182,s183,s69,s215,s502,s177,s178,s52,s604,s43,s630,s46,s229,s598,s68,s625,s629]) ).

cnf(s632,plain,
    ( ~ spl0_6
    | ~ spl0_48
    | ~ spl0_44 ),
    inference(rat,[],[s500,s486,s101,s102,s103]) ).

cnf(s633,plain,
    ( ~ spl0_48
    | spl0_31
    | ~ spl0_23 ),
    inference(rat,[],[s342,s43,s503,s595,s181,s182,s183,s3,s632,s620,s631,s68,s625,s629]) ).

cnf(s634,plain,
    ( ~ spl0_16
    | ~ spl0_23 ),
    inference(rat,[],[s459,s93,s94,s95]) ).

cnf(s635,plain,
    ( ~ spl0_14
    | ~ spl0_37 ),
    inference(rat,[],[s482,s117,s118,s119]) ).

cnf(s636,plain,
    ( ~ spl0_4
    | ~ spl0_57 ),
    inference(rat,[],[s513,s125,s126,s127]) ).

cnf(s637,plain,
    ( spl0_31
    | ~ spl0_23 ),
    inference(rat,[],[s346,s484,s185,s186,s187,s29,s254,s342,s181,s183,s69,s557,s58,s361,s53,s43,s515,s552,s597,s161,s162,s163,s15,s18,s206,s583,s85,s86,s87,s48,s636,s275,s121,s122,s123,s44,s70,s633,s635,s67,s634,s625,s629]) ).

cnf(s638,plain,
    ( spl0_7
    | ~ spl0_48
    | spl0_3 ),
    inference(rat,[],[s237,s500,s101,s102,s3,s69,s625,s629]) ).

cnf(s639,plain,
    ( spl0_36
    | ~ spl0_23 ),
    inference(rat,[],[s22,s572,s571,s637,s625]) ).

cnf(s640,plain,
    ( ~ spl0_48
    | ~ spl0_23 ),
    inference(rat,[],[s342,s503,s181,s182,s183,s638,s620,s229,s71,s566,s637,s639,s629,s625]) ).

cnf(s641,plain,
    ~ spl0_23,
    inference(rat,[],[s354,s236,s122,s123,s44,s640,s20,s620,s229,s71,s566,s637,s635,s67,s634,s625,s629]) ).

cnf(s642,plain,
    ( spl0_31
    | ~ spl0_48 ),
    inference(rat,[],[s342,s43,s503,s595,s181,s182,s183,s10,s632,s68,s625,s641,s629]) ).

cnf(s643,plain,
    ( spl0_11
    | spl0_36 ),
    inference(rat,[],[s549,s63,s16,s206,s85,s86,s87,s22,s641,s625]) ).

cnf(s644,plain,
    ( spl0_36
    | ~ spl0_31 ),
    inference(rat,[],[s643,s572,s625]) ).

cnf(s645,plain,
    ~ spl0_48,
    inference(rat,[],[s644,s342,s503,s181,s182,s183,s69,s557,s36,s598,s11,s566,s642,s625,s629,s641]) ).

cnf(s646,plain,
    spl0_57,
    inference(rat,[],[s70,s629,s625,s645]) ).

cnf(s647,plain,
    ~ spl0_4,
    inference(rat,[],[s636,s646]) ).

cnf(s648,plain,
    ( ~ spl0_6
    | ~ spl0_44 ),
    inference(rat,[],[s53,s614,s238,s101,s102,s103,s625,s645]) ).

cnf(s649,plain,
    ( ~ spl0_173
    | ~ spl0_22 ),
    inference(rat,[],[s369,s465,s93,s94,s95,s67,s27,s484,s379,s187,s186,s185,s2,s620,s625,s629,s647]) ).

cnf(s650,plain,
    ~ spl0_44,
    inference(rat,[],[s309,s557,s53,s28,s346,s526,s649,s185,s186,s187,s2,s620,s14,s648,s598,s625,s645,s647,s641]) ).

cnf(s651,plain,
    spl0_31,
    inference(rat,[],[s68,s629,s625,s650]) ).

cnf(s653,plain,
    ~ spl0_24,
    inference(rat,[],[s566,s651]) ).

cnf(s654,plain,
    spl0_36,
    inference(rat,[],[s644,s651]) ).

cnf(s670,plain,
    ~ spl0_20,
    inference(rat,[],[s481,s189,s190,s191,s654]) ).

cnf(s671,plain,
    spl0_26,
    inference(rat,[],[s12,s625,s641,s670]) ).

cnf(s672,plain,
    spl0_22,
    inference(rat,[],[s567,s625,s653,s670]) ).

cnf(s674,plain,
    spl0_67,
    inference(rat,[],[s83,s671]) ).

cnf(s675,plain,
    spl0_66,
    inference(rat,[],[s82,s671]) ).

cnf(s676,plain,
    spl0_65,
    inference(rat,[],[s81,s671]) ).

cnf(s677,plain,
    ~ spl0_3,
    inference(rat,[],[s620,s672]) ).

cnf(s678,plain,
    ~ spl0_173,
    inference(rat,[],[s649,s672]) ).

cnf(s680,plain,
    spl0_161,
    inference(rat,[],[s512,s675,s646,s676]) ).

cnf(s683,plain,
    spl0_5,
    inference(rat,[],[s2,s647,s677]) ).

cnf(s684,plain,
    ~ spl0_28,
    inference(rat,[],[s212,s675,s674,s680]) ).

cnf(s686,plain,
    spl0_145,
    inference(rat,[],[s187,s683]) ).

cnf(s688,plain,
    ~ spl0_143,
    inference(rat,[],[s185,s683]) ).

cnf(s691,plain,
    spl0_46,
    inference(rat,[],[s546,s625,s641,s647,s684]) ).

cnf(s692,plain,
    $false,
    inference(rat,[],[s346,s686,s678,s688,s691]) ).

fof(f2102,plain,
    $false,
    inference(avatar_sat_refutation,[],[s692]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN498+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n011.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 16:17:15 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.30/1.20  % (3508657)Detected formulas, will run a generic FOF schedule.
% 2.30/1.20  % (3508745)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=3755185531:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.30/1.20  % (3508755)dis-21_1_sil=8000:lcm=predicate:random_seed=255271958:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.30/1.20  % (3508754)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1608498827:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.30/1.20  % (3508746)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=1611214799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.30/1.20  % (3508749)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=1721026487:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.30/1.20  % (3508755)First to succeed.
% 2.30/1.20  % (3508751)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1504478207:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.30/1.20  % (3508750)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=313225362:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.30/1.20  % (3508755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3508657"
% 2.30/1.20  % (3508754)Also succeeded, but the first one will report.
% 2.30/1.20  % (3508751)Instruction limit reached! 
% 2.30/1.20  % (3508751)------------------------------
% 2.30/1.20  % (3508751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.30/1.20  % (3508751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/1.20  % (3508751)CaDiCaL version: 2.1.3
% 2.30/1.20  % (3508751)Termination reason: Instruction limit
% 2.30/1.20  % (3508751)Termination phase: Saturation
% 2.30/1.20  % (3508751)Time elapsed: 0.062 s
% 2.30/1.20  % (3508751)Peak memory usage: 87 MB
% 2.30/1.20  % (3508751)Instructions burned: 120 (million)
% 2.30/1.20  % (3508750)Also succeeded, but the first one will report.
% 2.30/1.20  % (3508806)lrs+10_1_sil=8000:sp=occurrence:random_seed=496391131:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.30/1.20  % (3508806)Also succeeded, but the first one will report.
% 2.30/1.20  % (3508755)Refutation found. Thanks to Tanya!
% 2.30/1.20  % SZS status Theorem for theBenchmark
% 2.30/1.20  % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.39  % (3508755)------------------------------
% 4.27/1.39  % (3508755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.39  % (3508755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.39  % (3508755)CaDiCaL version: 2.1.3
% 4.27/1.39  % (3508755)Termination reason: Refutation
% 4.27/1.39  % (3508755)Time elapsed: 0.039 s
% 4.27/1.39  % (3508755)Peak memory usage: 90 MB
% 4.27/1.39  % (3508755)Instructions burned: 62 (million)
% 4.27/1.39  % (3508755)------------------------------
% 4.27/1.39  % (3508755)------------------------------
% 4.27/1.39  % (3508657)Success in time 0.539 s
% 4.27/1.39  % Vampire exiting
%------------------------------------------------------------------------------