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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:14:44 PM UTC 2026

% Result   : Theorem 0.18s 0.29s
% Output   : Refutation 0.18s
% 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(f8,plain,
    ( hskp5
    | hskp25
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp16
    | hskp4
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp9
    | hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp21
    | hskp13
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp27
    | hskp13
    | hskp8 ),
    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(f18,plain,
    ! [X114] :
      ( ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    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(f29,plain,
    ! [X98] :
      ( c2_1(X98)
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | hskp14
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X97] :
      ( c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | hskp5
      | hskp25 ),
    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(f36,plain,
    ! [X89] :
      ( c1_1(X89)
      | ~ c0_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp4
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X88] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp13
      | hskp24 ),
    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(f40,plain,
    ! [X84] :
      ( c1_1(X84)
      | ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | hskp9
      | hskp15 ),
    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(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(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(f60,plain,
    ! [X51] :
      ( c0_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    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(f64,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp11 ),
    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(f77,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c2_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0 ),
    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(f82,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp2
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | ~ c0_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | c2_1(X5)
      | ~ c1_1(X5)
      | ~ c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | c2_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0 ),
    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(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(f148,plain,
    ( ~ hskp15
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp14
    | c3_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp14
    | c2_1(a22) ),
    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(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(f227,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ c3_1(X46)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f64]) ).

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(f239,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f240,plain,
    ! [X14,X15,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | c2_1(X14)
      | ~ c3_1(X14)
      | c1_1(X15)
      | c2_1(X15)
      | ~ c0_1(X15) ),
    inference(duplicate_literal_removal,[],[f78]) ).

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(f243,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | ~ c0_1(X4)
      | ~ c1_1(X4)
      | c2_1(X5)
      | ~ c1_1(X5)
      | ~ c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f84]) ).

fof(f244,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | c2_1(X2)
      | c3_1(X2)
      | ~ c1_1(X2) ),
    inference(duplicate_literal_removal,[],[f85]) ).

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

fof(f250,definition,
    ( spl0_2
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_3
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f257,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f254,f250,f246]) ).

fof(f259,definition,
    ( spl0_4
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_5
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_6
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_7
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f275,plain,
    ( spl0_3
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f272,f268,f254]) ).

fof(f277,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f284,plain,
    ( spl0_8
    | spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f9,f281,f263,f277]) ).

fof(f286,definition,
    ( spl0_10
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_11
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f293,plain,
    ( spl0_10
    | spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f290,f277,f286]) ).

fof(f295,definition,
    ( spl0_12
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_14
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f306,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f303,f299,f295]) ).

fof(f308,definition,
    ( spl0_15
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f315,plain,
    ( spl0_15
    | spl0_13
    | spl0_16 ),
    inference(avatar_split_clause,[],[f12,f312,f299,f308]) ).

fof(f317,definition,
    ( spl0_17
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_19
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f330,definition,
    ( spl0_20
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f334,definition,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_22
  <=> ! [X118] :
        ( ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ c2_1(X118) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | ~ c1_1(X118)
        | ~ c2_1(X118) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f340,plain,
    ( spl0_12
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f14,f338,f334,f330,f295]) ).

fof(f342,definition,
    ( spl0_23
  <=> ! [X117] :
        ( ~ c0_1(X117)
        | ~ c3_1(X117)
        | ~ c1_1(X117) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X117] :
        ( ~ c0_1(X117)
        | ~ c3_1(X117)
        | ~ c1_1(X117) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f342,f334,f272,f268]) ).

fof(f346,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_25
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f353,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f16,f342,f334,f350,f346]) ).

fof(f355,definition,
    ( spl0_26
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f358,plain,
    ( spl0_20
    | spl0_26
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f17,f342,f334,f355,f330]) ).

fof(f359,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f18,f342,f334,f312,f281]) ).

fof(f360,plain,
    ( spl0_6
    | spl0_22
    | ~ spl0_21
    | spl0_23 ),
    inference(avatar_split_clause,[],[f210,f342,f334,f338,f268]) ).

fof(f362,definition,
    ( spl0_27
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_28
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X111] :
        ( ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f368,plain,
    ( spl0_27
    | spl0_4
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f366,f334,f259,f362]) ).

fof(f370,definition,
    ( spl0_29
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_29
    | spl0_23
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f211,f366,f334,f342,f370]) ).

fof(f375,definition,
    ( spl0_30
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f379,definition,
    ( spl0_31
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c1_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X108] :
        ( ~ c2_1(X108)
        | c3_1(X108)
        | ~ c1_1(X108) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f382,definition,
    ( spl0_32
  <=> ! [X107] :
        ( c3_1(X107)
        | ~ c2_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X107] :
        ( ~ c0_1(X107)
        | ~ c2_1(X107)
        | c3_1(X107) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_21
    | spl0_32 ),
    inference(avatar_split_clause,[],[f212,f382,f334,f379,f375]) ).

fof(f386,definition,
    ( spl0_33
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f390,definition,
    ( spl0_34
  <=> ! [X106] :
        ( c3_1(X106)
        | ~ c1_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106)
        | c3_1(X106) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_33
    | spl0_14
    | ~ spl0_21
    | spl0_34 ),
    inference(avatar_split_clause,[],[f23,f390,f334,f303,f386]) ).

fof(f393,plain,
    ( spl0_15
    | spl0_23
    | ~ spl0_21
    | spl0_34 ),
    inference(avatar_split_clause,[],[f213,f390,f334,f342,f308]) ).

fof(f395,definition,
    ( spl0_35
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c2_1(X103)
        | ~ c1_1(X103) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f397,plain,
    ( spl0_24
    | spl0_3
    | ~ spl0_21
    | spl0_35 ),
    inference(avatar_split_clause,[],[f25,f395,f334,f254,f346]) ).

fof(f398,plain,
    ( spl0_11
    | spl0_31
    | ~ spl0_21
    | spl0_35 ),
    inference(avatar_split_clause,[],[f214,f395,f334,f379,f290]) ).

fof(f400,definition,
    ( spl0_36
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c3_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X100] :
        ( ~ c0_1(X100)
        | ~ c3_1(X100)
        | c2_1(X100) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_21
    | spl0_36 ),
    inference(avatar_split_clause,[],[f27,f400,f334,f325,f290]) ).

fof(f404,definition,
    ( spl0_37
  <=> ! [X99] :
        ( c2_1(X99)
        | ~ c1_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | ~ c1_1(X99)
        | c2_1(X99) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_30
    | spl0_12
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f28,f404,f334,f295,f375]) ).

fof(f407,plain,
    ( spl0_10
    | spl0_17
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f29,f404,f334,f317,f286]) ).

fof(f408,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f30,f404,f334,f272,f268]) ).

fof(f410,plain,
    ( spl0_34
    | spl0_36
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f215,f404,f334,f400,f390]) ).

fof(f412,definition,
    ( spl0_38
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f416,definition,
    ( spl0_39
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X92] :
        ( c2_1(X92)
        | ~ c0_1(X92)
        | c3_1(X92) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_38
    | spl0_25
    | ~ spl0_21
    | spl0_39 ),
    inference(avatar_split_clause,[],[f33,f416,f334,f350,f412]) ).

fof(f419,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_21
    | spl0_39 ),
    inference(avatar_split_clause,[],[f34,f416,f334,f303,f263]) ).

fof(f425,definition,
    ( spl0_41
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f429,definition,
    ( spl0_42
  <=> ! [X90] :
        ( c1_1(X90)
        | ~ c3_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X90] :
        ( c1_1(X90)
        | ~ c3_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f433,definition,
    ( spl0_43
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f436,plain,
    ( spl0_43
    | spl0_5
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f36,f429,f334,f263,f433]) ).

fof(f437,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f37,f429,f334,f299,f295]) ).

fof(f438,plain,
    ( spl0_2
    | spl0_32
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f216,f429,f334,f382,f250]) ).

fof(f440,definition,
    ( spl0_44
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85)
        | c1_1(X85) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f443,plain,
    ( spl0_43
    | spl0_11
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f40,f440,f334,f290,f433]) ).

fof(f444,plain,
    ( spl0_38
    | spl0_23
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f217,f440,f334,f342,f412]) ).

fof(f446,definition,
    ( spl0_45
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_1
    | spl0_33
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f42,f446,f334,f386,f246]) ).

fof(f450,definition,
    ( spl0_46
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c1_1(X79)
        | c3_1(X79) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl0_41
    | spl0_44
    | ~ spl0_21
    | spl0_46 ),
    inference(avatar_split_clause,[],[f218,f450,f334,f440,f425]) ).

fof(f454,definition,
    ( spl0_47
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | c2_1(X78) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_41
    | spl0_13
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f44,f454,f334,f299,f425]) ).

fof(f458,plain,
    ( spl0_2
    | spl0_25
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f46,f454,f334,f350,f250]) ).

fof(f459,plain,
    ( spl0_23
    | spl0_35
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f219,f454,f334,f395,f342]) ).

fof(f460,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f220,f454,f334,f400,f379]) ).

fof(f462,definition,
    ( spl0_48
  <=> ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c1_1(X69)
        | c2_1(X69) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f49,f462,f334,f303,f250]) ).

fof(f466,definition,
    ( spl0_49
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | ~ c2_1(X68) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( spl0_10
    | spl0_14
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f50,f466,f334,f303,f286]) ).

fof(f470,definition,
    ( spl0_50
  <=> ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_22
    | spl0_50
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f221,f466,f334,f470,f338]) ).

fof(f473,plain,
    ( spl0_2
    | spl0_31
    | ~ spl0_21
    | spl0_49 ),
    inference(avatar_split_clause,[],[f222,f466,f334,f379,f250]) ).

fof(f479,definition,
    ( spl0_52
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( spl0_11
    | spl0_48
    | ~ spl0_21
    | spl0_52 ),
    inference(avatar_split_clause,[],[f223,f479,f334,f462,f290]) ).

fof(f483,definition,
    ( spl0_53
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f487,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f224,f483,f334,f379,f375]) ).

fof(f488,plain,
    ( spl0_46
    | spl0_48
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f225,f483,f334,f462,f450]) ).

fof(f490,definition,
    ( spl0_54
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f492,plain,
    ( spl0_10
    | spl0_9
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f59,f490,f334,f281,f286]) ).

fof(f494,definition,
    ( spl0_55
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | c2_1(X51) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( spl0_29
    | spl0_3
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f60,f494,f334,f254,f370]) ).

fof(f499,plain,
    ( spl0_38
    | spl0_34
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f226,f494,f334,f390,f412]) ).

fof(f500,plain,
    ( spl0_27
    | spl0_36
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f227,f494,f334,f400,f362]) ).

fof(f502,definition,
    ( spl0_56
  <=> ! [X43] :
        ( c2_1(X43)
        | ~ c1_1(X43)
        | c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c2_1(X43)
        | c3_1(X43) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( spl0_31
    | spl0_56
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f228,f494,f334,f502,f379]) ).

fof(f506,definition,
    ( spl0_57
  <=> ! [X41] :
        ( c1_1(X41)
        | ~ c3_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f507,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c1_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f510,definition,
    ( spl0_58
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( spl0_30
    | spl0_28
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f230,f510,f334,f366,f375]) ).

fof(f513,plain,
    ( spl0_11
    | spl0_28
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f231,f510,f334,f366,f290]) ).

fof(f514,plain,
    ( spl0_39
    | spl0_57
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f232,f510,f334,f506,f416]) ).

fof(f516,definition,
    ( spl0_59
  <=> ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | c3_1(X32)
        | c2_1(X32) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f520,plain,
    ( spl0_16
    | spl0_37
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f234,f516,f334,f404,f312]) ).

fof(f521,plain,
    ( spl0_31
    | spl0_44
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f235,f516,f334,f440,f379]) ).

fof(f522,plain,
    ( spl0_7
    | spl0_45
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f236,f516,f334,f446,f272]) ).

fof(f523,plain,
    ( spl0_57
    | spl0_48
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f237,f516,f334,f462,f506]) ).

fof(f524,plain,
    ( spl0_24
    | spl0_49
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f238,f516,f334,f466,f346]) ).

fof(f526,definition,
    ( spl0_60
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c3_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f527,plain,
    ( ! [X16] :
        ( c0_1(X16)
        | ~ c3_1(X16)
        | c1_1(X16) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f528,plain,
    ( spl0_5
    | spl0_23
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f239,f526,f334,f342,f263]) ).

fof(f530,definition,
    ( spl0_61
  <=> ! [X15] :
        ( c1_1(X15)
        | ~ c0_1(X15)
        | c2_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f531,plain,
    ( ! [X15] :
        ( c1_1(X15)
        | ~ c0_1(X15)
        | c2_1(X15) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f532,plain,
    ( spl0_61
    | spl0_55
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f240,f526,f334,f494,f530]) ).

fof(f534,definition,
    ( spl0_62
  <=> ! [X12] :
        ( c0_1(X12)
        | ~ c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( spl0_24
    | spl0_20
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f79,f534,f334,f330,f346]) ).

fof(f537,plain,
    ( spl0_1
    | spl0_35
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f241,f534,f334,f395,f246]) ).

fof(f538,plain,
    ( spl0_8
    | spl0_47
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f242,f534,f334,f454,f277]) ).

fof(f540,definition,
    ( spl0_63
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f541,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f82,f540,f334,f277,f246]) ).

fof(f543,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f83,f540,f334,f346,f246]) ).

fof(f544,plain,
    ( spl0_35
    | spl0_37
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f243,f540,f334,f404,f395]) ).

fof(f546,definition,
    ( spl0_64
  <=> ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_56
    | spl0_45
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f244,f546,f334,f446,f502]) ).

fof(f550,definition,
    ( spl0_65
  <=> c3_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f552,plain,
    ( c3_1(a54)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( spl0_65
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f86,f355,f550]) ).

fof(f555,definition,
    ( spl0_66
  <=> c2_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f557,plain,
    ( c2_1(a54)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( spl0_66
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f87,f355,f555]) ).

fof(f560,definition,
    ( spl0_67
  <=> c0_1(a54) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f562,plain,
    ( c0_1(a54)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( spl0_67
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f88,f355,f560]) ).

fof(f566,definition,
    ( spl0_68
  <=> c2_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f568,plain,
    ( c2_1(a35)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f325,f566]) ).

fof(f571,definition,
    ( spl0_69
  <=> c1_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f573,plain,
    ( c1_1(a35)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl0_69
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f325,f571]) ).

fof(f576,definition,
    ( spl0_70
  <=> c0_1(a35) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f578,plain,
    ( c0_1(a35)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f579,plain,
    ( spl0_70
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f92,f325,f576]) ).

fof(f582,definition,
    ( spl0_71
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f584,plain,
    ( c3_1(a25)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( spl0_71
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f94,f254,f582]) ).

fof(f587,definition,
    ( spl0_72
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f589,plain,
    ( c2_1(a25)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( spl0_72
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f95,f254,f587]) ).

fof(f592,definition,
    ( spl0_73
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f594,plain,
    ( c1_1(a25)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( spl0_73
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f96,f254,f592]) ).

fof(f596,plain,
    ( spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f97,f254,f334]) ).

fof(f598,definition,
    ( spl0_74
  <=> c3_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f600,plain,
    ( c3_1(a12)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( spl0_74
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f98,f312,f598]) ).

fof(f603,definition,
    ( spl0_75
  <=> c1_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f606,plain,
    ( spl0_75
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f99,f312,f603]) ).

fof(f608,definition,
    ( spl0_76
  <=> c0_1(a12) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f610,plain,
    ( c0_1(a12)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f611,plain,
    ( spl0_76
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f100,f312,f608]) ).

fof(f630,definition,
    ( spl0_80
  <=> c3_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f632,plain,
    ( ~ c3_1(a70)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_80
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f268,f630]) ).

fof(f635,definition,
    ( spl0_81
  <=> c1_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ c1_1(a70)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( ~ spl0_81
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f268,f635]) ).

fof(f640,definition,
    ( spl0_82
  <=> c0_1(a70) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f642,plain,
    ( c0_1(a70)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( spl0_82
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f108,f268,f640]) ).

fof(f646,definition,
    ( spl0_83
  <=> c1_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ c1_1(a58)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f649,plain,
    ( ~ spl0_83
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f110,f295,f646]) ).

fof(f651,definition,
    ( spl0_84
  <=> c0_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ spl0_84
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f111,f295,f651]) ).

fof(f656,definition,
    ( spl0_85
  <=> c2_1(a58) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f658,plain,
    ( c2_1(a58)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,plain,
    ( spl0_85
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f112,f295,f656]) ).

fof(f678,definition,
    ( spl0_89
  <=> c1_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ c1_1(a42)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( ~ spl0_89
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f118,f350,f678]) ).

fof(f683,definition,
    ( spl0_90
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f685,plain,
    ( c2_1(a42)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( spl0_90
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f119,f350,f683]) ).

fof(f688,definition,
    ( spl0_91
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f690,plain,
    ( c0_1(a42)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( spl0_91
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f120,f350,f688]) ).

fof(f694,definition,
    ( spl0_92
  <=> c2_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ c2_1(a38)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f303,f694]) ).

fof(f699,definition,
    ( spl0_93
  <=> c1_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f701,plain,
    ( c1_1(a38)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f702,plain,
    ( spl0_93
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f303,f699]) ).

fof(f704,definition,
    ( spl0_94
  <=> c0_1(a38) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f706,plain,
    ( c0_1(a38)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f303,f704]) ).

fof(f710,definition,
    ( spl0_95
  <=> c0_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c0_1(a37)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f126,f250,f710]) ).

fof(f715,definition,
    ( spl0_96
  <=> c3_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f717,plain,
    ( c3_1(a37)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( spl0_96
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f127,f250,f715]) ).

fof(f720,definition,
    ( spl0_97
  <=> c1_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f722,plain,
    ( c1_1(a37)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl0_97
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f128,f250,f720]) ).

fof(f724,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f250,f334]) ).

fof(f726,definition,
    ( spl0_98
  <=> c1_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ c1_1(a36)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( ~ spl0_98
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f130,f259,f726]) ).

fof(f731,definition,
    ( spl0_99
  <=> c3_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f733,plain,
    ( c3_1(a36)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f131,f259,f731]) ).

fof(f736,definition,
    ( spl0_100
  <=> c2_1(a36) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f738,plain,
    ( c2_1(a36)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,plain,
    ( spl0_100
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f132,f259,f736]) ).

fof(f742,definition,
    ( spl0_101
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f744,plain,
    ( ~ c3_1(a31)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( ~ spl0_101
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f134,f425,f742]) ).

fof(f747,definition,
    ( spl0_102
  <=> c0_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c0_1(a31)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( ~ spl0_102
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f135,f425,f747]) ).

fof(f752,definition,
    ( spl0_103
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f754,plain,
    ( c1_1(a31)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( spl0_103
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f136,f425,f752]) ).

fof(f758,definition,
    ( spl0_104
  <=> c2_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ c2_1(a28)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( ~ spl0_104
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f138,f286,f758]) ).

fof(f763,definition,
    ( spl0_105
  <=> c0_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ spl0_105
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f139,f286,f763]) ).

fof(f768,definition,
    ( spl0_106
  <=> c3_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f770,plain,
    ( c3_1(a28)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( spl0_106
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f140,f286,f768]) ).

fof(f774,definition,
    ( spl0_107
  <=> c1_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ spl0_107
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f142,f281,f774]) ).

fof(f779,definition,
    ( spl0_108
  <=> c3_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f781,plain,
    ( c3_1(a27)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( spl0_108
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f143,f281,f779]) ).

fof(f784,definition,
    ( spl0_109
  <=> c0_1(a27) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f786,plain,
    ( c0_1(a27)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( spl0_109
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f144,f281,f784]) ).

fof(f790,definition,
    ( spl0_110
  <=> c2_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f792,plain,
    ( ~ c2_1(a24)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f793,plain,
    ( ~ spl0_110
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f146,f433,f790]) ).

fof(f795,definition,
    ( spl0_111
  <=> c1_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ spl0_111
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f147,f433,f795]) ).

fof(f800,definition,
    ( spl0_112
  <=> c0_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ c0_1(a24)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( ~ spl0_112
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f148,f433,f800]) ).

fof(f811,definition,
    ( spl0_114
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a22)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_114
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f151,f317,f811]) ).

fof(f816,definition,
    ( spl0_115
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f818,plain,
    ( c2_1(a22)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( spl0_115
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f152,f317,f816]) ).

fof(f822,definition,
    ( spl0_116
  <=> c3_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f824,plain,
    ( ~ c3_1(a21)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( ~ spl0_116
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f154,f299,f822]) ).

fof(f827,definition,
    ( spl0_117
  <=> c2_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f829,plain,
    ( c2_1(a21)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl0_117
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f155,f299,f827]) ).

fof(f832,definition,
    ( spl0_118
  <=> c0_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f834,plain,
    ( c0_1(a21)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f835,plain,
    ( spl0_118
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f156,f299,f832]) ).

fof(f838,definition,
    ( spl0_119
  <=> c3_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f840,plain,
    ( ~ c3_1(a20)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( ~ spl0_119
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f158,f412,f838]) ).

fof(f843,definition,
    ( spl0_120
  <=> c1_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c1_1(a20)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_120
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f159,f412,f843]) ).

fof(f848,definition,
    ( spl0_121
  <=> c2_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f850,plain,
    ( c2_1(a20)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,plain,
    ( spl0_121
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f160,f412,f848]) ).

fof(f854,definition,
    ( spl0_122
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ c3_1(a19)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( ~ spl0_122
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f162,f362,f854]) ).

fof(f859,definition,
    ( spl0_123
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c0_1(a19)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( ~ spl0_123
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f163,f362,f859]) ).

fof(f864,definition,
    ( spl0_124
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f866,plain,
    ( c2_1(a19)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f867,plain,
    ( spl0_124
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f164,f362,f864]) ).

fof(f870,definition,
    ( spl0_125
  <=> c1_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f872,plain,
    ( ~ c1_1(a18)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f873,plain,
    ( ~ spl0_125
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f166,f386,f870]) ).

fof(f875,definition,
    ( spl0_126
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c0_1(a18)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_126
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f167,f386,f875]) ).

fof(f880,definition,
    ( spl0_127
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f882,plain,
    ( c3_1(a18)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f883,plain,
    ( spl0_127
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f168,f386,f880]) ).

fof(f886,definition,
    ( spl0_128
  <=> c3_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ c3_1(a16)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( ~ spl0_128
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f170,f290,f886]) ).

fof(f891,definition,
    ( spl0_129
  <=> c1_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f893,plain,
    ( c1_1(a16)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f171,f290,f891]) ).

fof(f896,definition,
    ( spl0_130
  <=> c0_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f898,plain,
    ( c0_1(a16)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( spl0_130
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f172,f290,f896]) ).

fof(f902,definition,
    ( spl0_131
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ c3_1(a15)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( ~ spl0_131
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f174,f308,f902]) ).

fof(f907,definition,
    ( spl0_132
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ c2_1(a15)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( ~ spl0_132
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f175,f308,f907]) ).

fof(f918,definition,
    ( spl0_134
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ c2_1(a14)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( ~ spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f178,f370,f918]) ).

fof(f923,definition,
    ( spl0_135
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c0_1(a14)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_135
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f179,f370,f923]) ).

fof(f928,definition,
    ( spl0_136
  <=> c1_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f930,plain,
    ( c1_1(a14)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_136
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f180,f370,f928]) ).

fof(f934,definition,
    ( spl0_137
  <=> c3_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ c3_1(a13)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( ~ spl0_137
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f182,f375,f934]) ).

fof(f939,definition,
    ( spl0_138
  <=> c1_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ c1_1(a13)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( ~ spl0_138
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f183,f375,f939]) ).

fof(f944,definition,
    ( spl0_139
  <=> c0_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f946,plain,
    ( ~ c0_1(a13)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f947,plain,
    ( ~ spl0_139
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f184,f375,f944]) ).

fof(f950,definition,
    ( spl0_140
  <=> c2_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f952,plain,
    ( ~ c2_1(a11)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( ~ spl0_140
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f186,f272,f950]) ).

fof(f955,definition,
    ( spl0_141
  <=> c1_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ c1_1(a11)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( ~ spl0_141
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f187,f272,f955]) ).

fof(f960,definition,
    ( spl0_142
  <=> c0_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f962,plain,
    ( c0_1(a11)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( spl0_142
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f188,f272,f960]) ).

fof(f966,definition,
    ( spl0_143
  <=> c3_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c3_1(a9)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_143
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f190,f263,f966]) ).

fof(f971,definition,
    ( spl0_144
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f973,plain,
    ( ~ c2_1(a9)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( ~ spl0_144
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f191,f263,f971]) ).

fof(f976,definition,
    ( spl0_145
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f978,plain,
    ( c0_1(a9)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( spl0_145
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f192,f263,f976]) ).

fof(f982,definition,
    ( spl0_146
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ c2_1(a7)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,plain,
    ( ~ spl0_146
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f194,f330,f982]) ).

fof(f987,definition,
    ( spl0_147
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f989,plain,
    ( c3_1(a7)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( spl0_147
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f195,f330,f987]) ).

fof(f992,definition,
    ( spl0_148
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f994,plain,
    ( c0_1(a7)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( spl0_148
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f196,f330,f992]) ).

fof(f998,definition,
    ( spl0_149
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1000,plain,
    ( ~ c2_1(a3)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1001,plain,
    ( ~ spl0_149
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f198,f277,f998]) ).

fof(f1003,definition,
    ( spl0_150
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1005,plain,
    ( c3_1(a3)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( spl0_150
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f199,f277,f1003]) ).

fof(f1008,definition,
    ( spl0_151
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1010,plain,
    ( c1_1(a3)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1011,plain,
    ( spl0_151
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f200,f277,f1008]) ).

fof(f1014,definition,
    ( spl0_152
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1016,plain,
    ( ~ c3_1(a2)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1017,plain,
    ( ~ spl0_152
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f202,f246,f1014]) ).

fof(f1019,definition,
    ( spl0_153
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ c2_1(a2)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1019]) ).

fof(f1022,plain,
    ( ~ spl0_153
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f246,f1019]) ).

fof(f1024,definition,
    ( spl0_154
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1026,plain,
    ( ~ c0_1(a2)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1027,plain,
    ( ~ spl0_154
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f204,f246,f1024]) ).

fof(f1028,plain,
    ( spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f246,f334]) ).

fof(f1030,definition,
    ( spl0_155
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1032,plain,
    ( ~ c3_1(a1)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1033,plain,
    ( ~ spl0_155
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f206,f346,f1030]) ).

fof(f1035,definition,
    ( spl0_156
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1037,plain,
    ( c2_1(a1)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( spl0_156
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f207,f346,f1035]) ).

fof(f1040,definition,
    ( spl0_157
  <=> c1_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1042,plain,
    ( c1_1(a1)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1043,plain,
    ( spl0_157
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f208,f346,f1040]) ).

fof(f1045,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c1_1(X106) )
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f391,f343]) ).

fof(f1046,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | ~ c1_1(X99) )
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f405,f367]) ).

fof(f1047,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | ~ c3_1(X90) )
    | ~ spl0_23
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f430,f343]) ).

fof(f1048,plain,
    ( ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f441,f367]) ).

fof(f1049,plain,
    ( ! [X81] :
        ( ~ c2_1(X81)
        | c3_1(X81) )
    | ~ spl0_31
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f447,f380]) ).

fof(f1050,plain,
    ( ! [X69] :
        ( c2_1(X69)
        | c1_1(X69) )
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f463,f455]) ).

fof(f1051,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59) )
    | ~ spl0_49
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f484,f467]) ).

fof(f1052,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51) )
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f495,f467]) ).

fof(f1053,plain,
    ( ! [X59] : ~ c2_1(X59)
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f1051,f1048]) ).

fof(f1056,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_72 ),
    inference(resolution,[],[f1053,f589]) ).

fof(f1059,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1061,plain,
    ( ! [X32] :
        ( c3_1(X32)
        | c2_1(X32) )
    | ~ spl0_39
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f517,f417]) ).

fof(f1085,plain,
    ( ~ c1_1(a35)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f1045,f578]) ).

fof(f1093,plain,
    ( ~ c1_1(a35)
    | ~ spl0_28
    | ~ spl0_37
    | ~ spl0_70 ),
    inference(resolution,[],[f1046,f578]) ).

fof(f1095,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_37
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1093,f573]) ).

fof(f1096,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1099,plain,
    ( ~ spl0_69
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1085,f576,f390,f342,f571]) ).

fof(f1100,plain,
    ( ! [X100] :
        ( ~ c0_1(X100)
        | c2_1(X100) )
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(forward_subsumption_resolution,[],[f401,f417]) ).

fof(f1108,plain,
    ( c1_1(a24)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_110 ),
    inference(resolution,[],[f1050,f792]) ).

fof(f1109,plain,
    ( c1_1(a28)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_104 ),
    inference(resolution,[],[f1050,f760]) ).

fof(f1120,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c1_1(X41) )
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f507,f455]) ).

fof(f1121,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | c0_1(X38) )
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f511,f1051]) ).

fof(f1122,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | c1_1(X79) )
    | ~ spl0_46
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f451,f541]) ).

fof(f1147,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | c2_1(X103) )
    | ~ spl0_35
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f396,f455]) ).

fof(f1165,plain,
    ( c3_1(a21)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f829,f1049]) ).

fof(f1166,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f1165,f824]) ).

fof(f1167,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | spl0_116
    | ~ spl0_117 ),
    inference(avatar_contradiction_clause,[],[f1166]) ).

fof(f1179,plain,
    ( ~ c1_1(a16)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(resolution,[],[f1045,f898]) ).

fof(f1182,plain,
    ( ~ c1_1(a38)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_94 ),
    inference(resolution,[],[f1045,f706]) ).

fof(f1190,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1182,f701]) ).

fof(f1191,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1190]) ).

fof(f1192,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1179,f893]) ).

fof(f1193,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f1192]) ).

fof(f1199,plain,
    ( c0_1(a58)
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(resolution,[],[f1051,f658]) ).

fof(f1211,plain,
    ( c0_1(a28)
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(resolution,[],[f1052,f770]) ).

fof(f1251,plain,
    ( c2_1(a38)
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(resolution,[],[f1100,f706]) ).

fof(f1283,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c1_1(X69) )
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f463,f1049]) ).

fof(f1324,plain,
    ( c1_1(a13)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137 ),
    inference(resolution,[],[f1283,f936]) ).

fof(f1335,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f1324,f941]) ).

fof(f1336,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f1335]) ).

fof(f1343,plain,
    ( ~ c1_1(a9)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_145 ),
    inference(resolution,[],[f978,f1045]) ).

fof(f1356,plain,
    ( ! [X60] :
        ( ~ c2_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f480,f1045]) ).

fof(f1406,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c3_1(X59) )
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f484,f383]) ).

fof(f1428,plain,
    ( ! [X59] :
        ( c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f484,f517]) ).

fof(f1436,plain,
    ( ~ c1_1(a25)
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_72 ),
    inference(resolution,[],[f1356,f589]) ).

fof(f1439,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1436,f594]) ).

fof(f1440,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1443,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | c2_1(X51) )
    | ~ spl0_55
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f495,f517]) ).

fof(f1467,plain,
    ( ! [X100] : c2_1(X100)
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_55
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f1100,f1443]) ).

fof(f1475,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_55
    | ~ spl0_59
    | spl0_132 ),
    inference(resolution,[],[f1467,f909]) ).

fof(f1486,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | ~ spl0_55
    | ~ spl0_59
    | spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1475]) ).

fof(f1492,plain,
    ( c2_1(a2)
    | ~ spl0_39
    | ~ spl0_59
    | spl0_152 ),
    inference(resolution,[],[f1061,f1016]) ).

fof(f1493,plain,
    ( c2_1(a9)
    | ~ spl0_39
    | ~ spl0_59
    | spl0_143 ),
    inference(resolution,[],[f1061,f968]) ).

fof(f1494,plain,
    ( c2_1(a13)
    | ~ spl0_39
    | ~ spl0_59
    | spl0_137 ),
    inference(resolution,[],[f1061,f936]) ).

fof(f1495,plain,
    ( c2_1(a15)
    | ~ spl0_39
    | ~ spl0_59
    | spl0_131 ),
    inference(resolution,[],[f1061,f904]) ).

fof(f1497,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_59
    | spl0_131
    | spl0_132 ),
    inference(forward_subsumption_resolution,[],[f1495,f909]) ).

fof(f1498,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_131
    | spl0_132 ),
    inference(avatar_contradiction_clause,[],[f1497]) ).

fof(f1499,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_59
    | spl0_143
    | spl0_144 ),
    inference(forward_subsumption_resolution,[],[f1493,f973]) ).

fof(f1500,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_143
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f1499]) ).

fof(f1501,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_59
    | spl0_152
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1492,f1021]) ).

fof(f1502,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f1501]) ).

fof(f1508,plain,
    ( c2_1(a11)
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(resolution,[],[f1100,f962]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f1508,f952]) ).

fof(f1518,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1527,plain,
    ( spl0_111
    | ~ spl0_47
    | ~ spl0_48
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1108,f790,f462,f454,f795]) ).

fof(f1529,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | c2_1(X38) )
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f511,f547]) ).

fof(f1540,plain,
    ( ~ c3_1(a7)
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(resolution,[],[f1047,f994]) ).

fof(f1542,plain,
    ( ~ c3_1(a11)
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_142 ),
    inference(resolution,[],[f1047,f962]) ).

fof(f1545,plain,
    ( ~ c3_1(a27)
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f1047,f786]) ).

fof(f1559,plain,
    ( ! [X118] :
        ( ~ c2_1(X118)
        | ~ c1_1(X118) )
    | ~ spl0_22
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f339,f380]) ).

fof(f1564,plain,
    ( ~ c2_1(a21)
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_118 ),
    inference(resolution,[],[f1048,f834]) ).

fof(f1569,plain,
    ( ~ c2_1(a35)
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_70 ),
    inference(resolution,[],[f1048,f578]) ).

fof(f1570,plain,
    ( ~ c2_1(a54)
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_67 ),
    inference(resolution,[],[f1048,f562]) ).

fof(f1571,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f1570,f557]) ).

fof(f1572,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1573,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1569,f568]) ).

fof(f1574,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1573]) ).

fof(f1579,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1564,f829]) ).

fof(f1580,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1579]) ).

fof(f1583,plain,
    ( c1_1(a7)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146 ),
    inference(resolution,[],[f1050,f984]) ).

fof(f1584,plain,
    ( c1_1(a9)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_144 ),
    inference(resolution,[],[f1050,f973]) ).

fof(f1585,plain,
    ( c1_1(a11)
    | ~ spl0_47
    | ~ spl0_48
    | spl0_140 ),
    inference(resolution,[],[f1050,f952]) ).

fof(f1598,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_48
    | spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1584,f1343]) ).

fof(f1599,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_48
    | spl0_144
    | ~ spl0_145 ),
    inference(avatar_contradiction_clause,[],[f1598]) ).

fof(f1608,plain,
    ( spl0_140
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1508,f960,f416,f400,f950]) ).

fof(f1615,plain,
    ( ! [X12] :
        ( c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f535,f547]) ).

fof(f1622,plain,
    ( ~ spl0_147
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1540,f992,f429,f342,f987]) ).

fof(f1624,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | ~ c1_1(X118) )
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f339,f396]) ).

fof(f1649,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f503,f396]) ).

fof(f1650,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | c1_1(X81) )
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f447,f463]) ).

fof(f1729,plain,
    ( ~ c1_1(a37)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f1624,f717]) ).

fof(f1731,plain,
    ( ~ c1_1(a25)
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f1624,f584]) ).

fof(f1737,plain,
    ( c2_1(a3)
    | ~ spl0_35
    | ~ spl0_56
    | ~ spl0_151 ),
    inference(resolution,[],[f1649,f1010]) ).

fof(f1738,plain,
    ( c2_1(a14)
    | ~ spl0_35
    | ~ spl0_56
    | ~ spl0_136 ),
    inference(resolution,[],[f1649,f930]) ).

fof(f1741,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_56
    | spl0_134
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f1738,f920]) ).

fof(f1742,plain,
    ( ~ spl0_35
    | ~ spl0_56
    | spl0_134
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f1741]) ).

fof(f1745,plain,
    ( ! [X108] :
        ( ~ c1_1(X108)
        | c3_1(X108) )
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f380,f1061]) ).

fof(f1763,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_60
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f541,f527]) ).

fof(f1821,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f1731,f594]) ).

fof(f1822,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f1821]) ).

fof(f1823,plain,
    ( spl0_149
    | ~ spl0_35
    | ~ spl0_56
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1737,f1008,f502,f395,f998]) ).

fof(f1824,plain,
    ( spl0_84
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1199,f656,f483,f466,f651]) ).

fof(f1888,plain,
    ( ~ c3_1(a38)
    | ~ c1_1(a38)
    | ~ spl0_23
    | ~ spl0_94 ),
    inference(resolution,[],[f343,f706]) ).

fof(f1892,plain,
    ( ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(resolution,[],[f343,f610]) ).

fof(f1893,plain,
    ( ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(resolution,[],[f343,f578]) ).

fof(f1895,plain,
    ( ~ c3_1(a11)
    | c2_1(a11)
    | ~ spl0_36
    | ~ spl0_142 ),
    inference(resolution,[],[f401,f962]) ).

fof(f1903,plain,
    ( ~ c3_1(a12)
    | c2_1(a12)
    | ~ spl0_36
    | ~ spl0_76 ),
    inference(resolution,[],[f401,f610]) ).

fof(f1914,plain,
    ( c1_1(a70)
    | c2_1(a70)
    | ~ spl0_48
    | spl0_80 ),
    inference(resolution,[],[f463,f632]) ).

fof(f1920,plain,
    ( c0_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_49
    | ~ spl0_127 ),
    inference(resolution,[],[f467,f882]) ).

fof(f1925,plain,
    ( c0_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f467,f717]) ).

fof(f1927,plain,
    ( c0_1(a25)
    | ~ c2_1(a25)
    | ~ spl0_49
    | ~ spl0_71 ),
    inference(resolution,[],[f467,f584]) ).

fof(f1928,plain,
    ( c0_1(a25)
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f1927,f589]) ).

fof(f1929,plain,
    ( ~ c2_1(a37)
    | ~ spl0_49
    | spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1925,f712]) ).

fof(f1932,plain,
    ( ~ c2_1(a18)
    | ~ spl0_49
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1920,f877]) ).

fof(f1976,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_54
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f491,f541]) ).

fof(f1986,plain,
    ( c1_1(a9)
    | c2_1(a9)
    | ~ spl0_48
    | spl0_143 ),
    inference(resolution,[],[f968,f463]) ).

fof(f1994,plain,
    ( ~ c1_1(a16)
    | ~ spl0_28
    | ~ spl0_37
    | ~ spl0_130 ),
    inference(resolution,[],[f1046,f898]) ).

fof(f2002,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1994,f893]) ).

fof(f2003,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2002]) ).

fof(f2014,plain,
    ( c1_1(a11)
    | c2_1(a11)
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(resolution,[],[f1542,f463]) ).

fof(f2036,plain,
    ( ~ c3_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_23
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(resolution,[],[f1928,f343]) ).

fof(f2038,plain,
    ( ~ c1_1(a25)
    | ~ spl0_23
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f2036,f584]) ).

fof(f2045,plain,
    ( c3_1(a13)
    | ~ spl0_54
    | ~ spl0_63
    | spl0_139 ),
    inference(resolution,[],[f1976,f946]) ).

fof(f2075,plain,
    ( c0_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f467,f717]) ).

fof(f2084,plain,
    ( c0_1(a31)
    | c3_1(a31)
    | ~ spl0_54
    | ~ spl0_103 ),
    inference(resolution,[],[f491,f754]) ).

fof(f2098,plain,
    ( c0_1(a13)
    | c1_1(a13)
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_62
    | spl0_137 ),
    inference(resolution,[],[f535,f1494]) ).

fof(f2101,plain,
    ( c0_1(a19)
    | c1_1(a19)
    | ~ spl0_62
    | ~ spl0_124 ),
    inference(resolution,[],[f535,f866]) ).

fof(f2110,plain,
    ( c0_1(a58)
    | c1_1(a58)
    | ~ spl0_62
    | ~ spl0_85 ),
    inference(resolution,[],[f535,f658]) ).

fof(f2122,plain,
    ( c1_1(a19)
    | ~ spl0_62
    | spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2101,f861]) ).

fof(f2124,plain,
    ( c1_1(a13)
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_62
    | spl0_137
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2098,f946]) ).

fof(f2129,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f2124,f941]) ).

fof(f2130,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f2129]) ).

fof(f2136,plain,
    ( c0_1(a31)
    | ~ spl0_54
    | spl0_101
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f2084,f744]) ).

fof(f2139,plain,
    ( spl0_105
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1211,f768,f494,f466,f763]) ).

fof(f2188,plain,
    ( ~ c1_1(a35)
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1893,f1745]) ).

fof(f2197,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f2188,f573]) ).

fof(f2198,plain,
    ( ~ spl0_23
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f2197]) ).

fof(f2266,plain,
    ( c0_1(a18)
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_127 ),
    inference(resolution,[],[f1052,f882]) ).

fof(f2271,plain,
    ( c0_1(a37)
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(resolution,[],[f1052,f717]) ).

fof(f2287,plain,
    ( c2_1(a14)
    | ~ spl0_58
    | ~ spl0_64
    | spl0_135 ),
    inference(resolution,[],[f1529,f925]) ).

fof(f2290,plain,
    ( c2_1(a24)
    | ~ spl0_58
    | ~ spl0_64
    | spl0_112 ),
    inference(resolution,[],[f1529,f802]) ).

fof(f2295,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_64
    | spl0_110
    | spl0_112 ),
    inference(forward_subsumption_resolution,[],[f2290,f792]) ).

fof(f2296,plain,
    ( ~ spl0_58
    | ~ spl0_64
    | spl0_110
    | spl0_112 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_58
    | ~ spl0_64
    | spl0_134
    | spl0_135 ),
    inference(forward_subsumption_resolution,[],[f2287,f920]) ).

fof(f2300,plain,
    ( ~ spl0_58
    | ~ spl0_64
    | spl0_134
    | spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f2304,plain,
    ( c3_1(a16)
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_129 ),
    inference(resolution,[],[f1745,f893]) ).

fof(f2307,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | spl0_128
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f2304,f888]) ).

fof(f2308,plain,
    ( ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f2307]) ).

fof(f2310,plain,
    ( ~ spl0_108
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1545,f784,f429,f342,f779]) ).

fof(f2311,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_23
    | ~ spl0_42
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2014,f960,f462,f429,f342,f955,f950]) ).

fof(f2317,definition,
    ( spl0_160
  <=> c1_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f2318,plain,
    ( c1_1(a2)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f2317]) ).

fof(f2355,plain,
    ( ! [X41] :
        ( ~ c2_1(X41)
        | c1_1(X41) )
    | ~ spl0_45
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f507,f447]) ).

fof(f2358,plain,
    ( c1_1(a18)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f1120,f882]) ).

fof(f2361,plain,
    ( c1_1(a36)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_99 ),
    inference(resolution,[],[f1120,f733]) ).

fof(f2367,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_57
    | spl0_98
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f2361,f728]) ).

fof(f2368,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_98
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f2367]) ).

fof(f2500,plain,
    ( spl0_92
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1251,f704,f416,f400,f694]) ).

fof(f2508,plain,
    ( c1_1(a20)
    | ~ spl0_45
    | ~ spl0_57
    | ~ spl0_121 ),
    inference(resolution,[],[f2355,f850]) ).

fof(f2515,plain,
    ( c1_1(a58)
    | ~ spl0_45
    | ~ spl0_57
    | ~ spl0_85 ),
    inference(resolution,[],[f2355,f658]) ).

fof(f2534,definition,
    ( spl0_161
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f2535,plain,
    ( ~ c1_1(a9)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f2534]) ).

fof(f2536,plain,
    ( c1_1(a9)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f2534]) ).

fof(f2537,plain,
    ( spl0_144
    | spl0_161
    | ~ spl0_48
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1986,f966,f462,f2534,f971]) ).

fof(f2543,plain,
    ( c1_1(a13)
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137 ),
    inference(resolution,[],[f1650,f936]) ).

fof(f2555,plain,
    ( c1_1(a70)
    | ~ spl0_45
    | ~ spl0_48
    | spl0_80 ),
    inference(resolution,[],[f1650,f632]) ).

fof(f2577,plain,
    ( ! [X38] :
        ( ~ c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_37
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f511,f405]) ).

fof(f2582,plain,
    ( ~ c1_1(a12)
    | ~ spl0_23
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1892,f600]) ).

fof(f2586,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_32
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f471,f1406]) ).

fof(f2587,plain,
    ( ~ c3_1(a38)
    | ~ spl0_23
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1888,f701]) ).

fof(f2590,plain,
    ( ! [X100] :
        ( ~ c3_1(X100)
        | c2_1(X100) )
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f401,f495]) ).

fof(f2594,plain,
    ( ! [X66] : ~ c0_1(X66)
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f2586,f1100]) ).

fof(f2596,plain,
    ( spl0_81
    | ~ spl0_45
    | ~ spl0_48
    | spl0_80 ),
    inference(avatar_split_clause,[],[f2555,f630,f462,f446,f635]) ).

fof(f2601,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_118 ),
    inference(resolution,[],[f2594,f834]) ).

fof(f2604,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(resolution,[],[f2594,f706]) ).

fof(f2615,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2604]) ).

fof(f2618,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2601]) ).

fof(f2623,plain,
    ( spl0_120
    | ~ spl0_45
    | ~ spl0_57
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2508,f848,f506,f446,f843]) ).

fof(f2624,plain,
    ( spl0_83
    | ~ spl0_45
    | ~ spl0_57
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2515,f656,f506,f446,f646]) ).

fof(f2729,plain,
    ( c1_1(a13)
    | ~ spl0_46
    | ~ spl0_63
    | spl0_137 ),
    inference(resolution,[],[f1122,f936]) ).

fof(f2740,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_63
    | spl0_137
    | spl0_138 ),
    inference(forward_subsumption_resolution,[],[f2729,f941]) ).

fof(f2741,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | spl0_137
    | spl0_138 ),
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2745,plain,
    ( c2_1(a28)
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(resolution,[],[f2590,f770]) ).

fof(f2747,plain,
    ( c2_1(a37)
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(resolution,[],[f2590,f717]) ).

fof(f2757,plain,
    ( spl0_141
    | ~ spl0_47
    | ~ spl0_48
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1585,f950,f462,f454,f955]) ).

fof(f2758,plain,
    ( spl0_138
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2543,f934,f462,f446,f939]) ).

fof(f2784,plain,
    ( spl0_95
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2271,f715,f494,f466,f710]) ).

fof(f2785,plain,
    ( ~ spl0_73
    | ~ spl0_23
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2038,f587,f582,f466,f342,f592]) ).

fof(f2786,plain,
    ( spl0_126
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2266,f880,f494,f466,f875]) ).

fof(f2789,plain,
    ( spl0_125
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2358,f880,f506,f454,f870]) ).

fof(f2861,plain,
    ( c1_1(a7)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_147 ),
    inference(resolution,[],[f1120,f989]) ).

fof(f2863,plain,
    ( c1_1(a27)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(resolution,[],[f1120,f781]) ).

fof(f2900,plain,
    ( c2_1(a2)
    | ~ spl0_55
    | ~ spl0_59
    | spl0_154 ),
    inference(resolution,[],[f1443,f1026]) ).

fof(f2911,plain,
    ( c2_1(a2)
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_160 ),
    inference(resolution,[],[f2577,f2318]) ).

fof(f2914,plain,
    ( c2_1(a14)
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f2577,f930]) ).

fof(f2930,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_58
    | spl0_134
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2914,f920]) ).

fof(f2931,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | spl0_134
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2930]) ).

fof(f2936,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_58
    | spl0_153
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f2911,f1021]) ).

fof(f2937,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | spl0_153
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f2936]) ).

fof(f2940,plain,
    ( ! [X7] : c0_1(X7)
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f1763,f1121]) ).

fof(f2947,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_135 ),
    inference(resolution,[],[f2940,f925]) ).

fof(f2951,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_102 ),
    inference(resolution,[],[f2940,f749]) ).

fof(f2952,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_102 ),
    inference(avatar_contradiction_clause,[],[f2951]) ).

fof(f2956,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_135 ),
    inference(avatar_contradiction_clause,[],[f2947]) ).

fof(f2977,plain,
    ( c0_1(a14)
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_136 ),
    inference(resolution,[],[f1121,f930]) ).

fof(f2991,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(forward_subsumption_resolution,[],[f2977,f925]) ).

fof(f2992,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(avatar_contradiction_clause,[],[f2991]) ).

fof(f2996,plain,
    ( spl0_138
    | ~ spl0_46
    | ~ spl0_63
    | spl0_137 ),
    inference(avatar_split_clause,[],[f2729,f934,f540,f450,f939]) ).

fof(f3006,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | c3_1(X43) )
    | ~ spl0_31
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f503,f380]) ).

fof(f3007,plain,
    ( ~ c3_1(a11)
    | ~ spl0_36
    | spl0_140
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f1895,f952]) ).

fof(f3046,plain,
    ( c2_1(a70)
    | ~ spl0_48
    | spl0_80
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f1914,f637]) ).

fof(f3100,plain,
    ( c1_1(a13)
    | ~ spl0_60
    | ~ spl0_63
    | spl0_139 ),
    inference(resolution,[],[f1763,f946]) ).

fof(f3102,plain,
    ( c1_1(a18)
    | ~ spl0_60
    | ~ spl0_63
    | spl0_126 ),
    inference(resolution,[],[f1763,f877]) ).

fof(f3111,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_63
    | spl0_125
    | spl0_126 ),
    inference(forward_subsumption_resolution,[],[f3102,f872]) ).

fof(f3112,plain,
    ( ~ spl0_60
    | ~ spl0_63
    | spl0_125
    | spl0_126 ),
    inference(avatar_contradiction_clause,[],[f3111]) ).

fof(f3120,plain,
    ( c3_1(a31)
    | ~ spl0_31
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(resolution,[],[f3006,f754]) ).

fof(f3151,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | c2_1(X43) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f503,f463]) ).

fof(f3153,plain,
    ( c2_1(a2)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_152 ),
    inference(resolution,[],[f3151,f1016]) ).

fof(f3155,plain,
    ( c2_1(a9)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_143 ),
    inference(resolution,[],[f3151,f968]) ).

fof(f3158,plain,
    ( c2_1(a16)
    | ~ spl0_48
    | ~ spl0_56
    | spl0_128 ),
    inference(resolution,[],[f3151,f888]) ).

fof(f3175,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_143
    | spl0_144 ),
    inference(forward_subsumption_resolution,[],[f3155,f973]) ).

fof(f3176,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_143
    | spl0_144 ),
    inference(avatar_contradiction_clause,[],[f3175]) ).

fof(f3179,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_56
    | spl0_152
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f3153,f1021]) ).

fof(f3180,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_152
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3179]) ).

fof(f3182,plain,
    ( c0_1(a58)
    | ~ spl0_62
    | spl0_83
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f2110,f648]) ).

fof(f3206,plain,
    ( ~ c1_1(a37)
    | ~ c2_1(a37)
    | ~ spl0_22
    | ~ spl0_96 ),
    inference(resolution,[],[f339,f717]) ).

fof(f3209,plain,
    ( ~ c2_1(a16)
    | c3_1(a16)
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(resolution,[],[f383,f898]) ).

fof(f3211,plain,
    ( ~ c2_1(a21)
    | c3_1(a21)
    | ~ spl0_32
    | ~ spl0_118 ),
    inference(resolution,[],[f383,f834]) ).

fof(f3216,plain,
    ( ~ c2_1(a42)
    | c3_1(a42)
    | ~ spl0_32
    | ~ spl0_91 ),
    inference(resolution,[],[f383,f690]) ).

fof(f3219,plain,
    ( ~ c2_1(a70)
    | c3_1(a70)
    | ~ spl0_32
    | ~ spl0_82 ),
    inference(resolution,[],[f383,f642]) ).

fof(f3224,plain,
    ( c3_1(a70)
    | ~ spl0_32
    | ~ spl0_48
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f3219,f3046]) ).

fof(f3227,plain,
    ( c3_1(a42)
    | ~ spl0_32
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3216,f685]) ).

fof(f3229,plain,
    ( c3_1(a21)
    | ~ spl0_32
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3211,f829]) ).

fof(f3231,plain,
    ( c3_1(a16)
    | ~ spl0_32
    | ~ spl0_48
    | ~ spl0_56
    | spl0_128
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3209,f3158]) ).

fof(f3237,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_48
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f3224,f632]) ).

fof(f3238,plain,
    ( ~ spl0_32
    | ~ spl0_48
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f3237]) ).

fof(f3243,plain,
    ( $false
    | ~ spl0_32
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3229,f824]) ).

fof(f3244,plain,
    ( ~ spl0_32
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3243]) ).

fof(f3247,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_48
    | ~ spl0_56
    | spl0_128
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3231,f888]) ).

fof(f3248,plain,
    ( ~ spl0_32
    | ~ spl0_48
    | ~ spl0_56
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f3247]) ).

fof(f3252,plain,
    ( ~ c3_1(a7)
    | c2_1(a7)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f401,f994]) ).

fof(f3285,plain,
    ( c2_1(a38)
    | ~ spl0_23
    | ~ spl0_48
    | ~ spl0_56
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(resolution,[],[f2587,f3151]) ).

fof(f3286,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_48
    | ~ spl0_56
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3285,f696]) ).

fof(f3287,plain,
    ( ~ spl0_23
    | ~ spl0_48
    | ~ spl0_56
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f3286]) ).

fof(f3305,plain,
    ( ~ c1_1(a25)
    | ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(resolution,[],[f1559,f589]) ).

fof(f3306,plain,
    ( ~ c1_1(a35)
    | ~ spl0_22
    | ~ spl0_31
    | ~ spl0_68 ),
    inference(resolution,[],[f1559,f568]) ).

fof(f3310,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(forward_subsumption_resolution,[],[f3306,f573]) ).

fof(f3311,plain,
    ( ~ spl0_22
    | ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(avatar_contradiction_clause,[],[f3310]) ).

fof(f3312,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(forward_subsumption_resolution,[],[f3305,f594]) ).

fof(f3313,plain,
    ( ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f3312]) ).

fof(f3324,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_61
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f547,f531]) ).

fof(f3326,plain,
    ( c1_1(a2)
    | c2_1(a2)
    | ~ spl0_48
    | spl0_152 ),
    inference(resolution,[],[f1016,f463]) ).

fof(f3333,plain,
    ( c1_1(a18)
    | ~ spl0_49
    | ~ spl0_61
    | ~ spl0_64
    | spl0_126
    | ~ spl0_127 ),
    inference(resolution,[],[f3324,f1932]) ).

fof(f3340,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_61
    | ~ spl0_64
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3333,f872]) ).

fof(f3341,plain,
    ( ~ spl0_49
    | ~ spl0_61
    | ~ spl0_64
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f3340]) ).

fof(f3345,plain,
    ( c3_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_31
    | ~ spl0_156 ),
    inference(resolution,[],[f380,f1037]) ).

fof(f3349,plain,
    ( c3_1(a19)
    | ~ c1_1(a19)
    | ~ spl0_31
    | ~ spl0_124 ),
    inference(resolution,[],[f380,f866]) ).

fof(f3351,plain,
    ( c3_1(a21)
    | ~ c1_1(a21)
    | ~ spl0_31
    | ~ spl0_117 ),
    inference(resolution,[],[f380,f829]) ).

fof(f3368,plain,
    ( ~ c1_1(a21)
    | ~ spl0_31
    | spl0_116
    | ~ spl0_117 ),
    inference(forward_subsumption_resolution,[],[f3351,f824]) ).

fof(f3369,plain,
    ( ~ c1_1(a19)
    | ~ spl0_31
    | spl0_122
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3349,f856]) ).

fof(f3372,plain,
    ( ~ c1_1(a1)
    | ~ spl0_31
    | spl0_155
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f3345,f1032]) ).

fof(f3385,plain,
    ( $false
    | ~ spl0_31
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(forward_subsumption_resolution,[],[f3372,f1042]) ).

fof(f3386,plain,
    ( ~ spl0_31
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(avatar_contradiction_clause,[],[f3385]) ).

fof(f3389,plain,
    ( c2_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_35
    | ~ spl0_150 ),
    inference(resolution,[],[f396,f1005]) ).

fof(f3390,plain,
    ( c2_1(a7)
    | ~ c1_1(a7)
    | ~ spl0_35
    | ~ spl0_147 ),
    inference(resolution,[],[f396,f989]) ).

fof(f3394,plain,
    ( c2_1(a28)
    | ~ c1_1(a28)
    | ~ spl0_35
    | ~ spl0_106 ),
    inference(resolution,[],[f396,f770]) ).

fof(f3396,plain,
    ( c2_1(a37)
    | ~ c1_1(a37)
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f396,f717]) ).

fof(f3398,plain,
    ( ~ c1_1(a37)
    | ~ spl0_35
    | ~ spl0_49
    | spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f3396,f1929]) ).

fof(f3399,plain,
    ( ~ c1_1(a28)
    | ~ spl0_35
    | spl0_104
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f3394,f760]) ).

fof(f3401,plain,
    ( ~ c1_1(a3)
    | ~ spl0_35
    | spl0_149
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f3389,f1000]) ).

fof(f3402,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3398,f722]) ).

fof(f3403,plain,
    ( ~ spl0_35
    | ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f3402]) ).

fof(f3406,plain,
    ( $false
    | ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f3401,f1010]) ).

fof(f3407,plain,
    ( ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f3406]) ).

fof(f3412,plain,
    ( c2_1(a7)
    | ~ spl0_36
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3252,f989]) ).

fof(f3414,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66) )
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f471,f401]) ).

fof(f3417,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_62
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f2122,f3369]) ).

fof(f3418,plain,
    ( ~ spl0_31
    | ~ spl0_62
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3417]) ).

fof(f3419,plain,
    ( spl0_84
    | ~ spl0_62
    | spl0_83
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f3182,f656,f646,f534,f651]) ).

fof(f3423,plain,
    ( $false
    | ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3412,f984]) ).

fof(f3424,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3423]) ).

fof(f3426,plain,
    ( ~ spl0_97
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1729,f715,f395,f338,f720]) ).

fof(f3427,plain,
    ( ~ spl0_73
    | ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1731,f582,f395,f338,f592]) ).

fof(f3429,plain,
    ( ~ spl0_73
    | ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f3305,f587,f379,f338,f592]) ).

fof(f3436,plain,
    ( c1_1(a2)
    | ~ spl0_48
    | spl0_152
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f3326,f1021]) ).

fof(f3440,plain,
    ( spl0_160
    | ~ spl0_48
    | spl0_152
    | spl0_153 ),
    inference(avatar_split_clause,[],[f3436,f1019,f1014,f462,f2317]) ).

fof(f3451,plain,
    ( ~ c1_1(a7)
    | c2_1(a7)
    | ~ spl0_37
    | ~ spl0_148 ),
    inference(resolution,[],[f405,f994]) ).

fof(f3452,plain,
    ( ~ c1_1(a9)
    | c2_1(a9)
    | ~ spl0_37
    | ~ spl0_145 ),
    inference(resolution,[],[f405,f978]) ).

fof(f3456,plain,
    ( ~ c1_1(a38)
    | c2_1(a38)
    | ~ spl0_37
    | ~ spl0_94 ),
    inference(resolution,[],[f405,f706]) ).

fof(f3464,plain,
    ( c2_1(a9)
    | ~ spl0_37
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3452,f2536]) ).

fof(f3469,plain,
    ( $false
    | ~ spl0_37
    | spl0_144
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3464,f973]) ).

fof(f3470,plain,
    ( ~ spl0_37
    | spl0_144
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3469]) ).

fof(f3471,plain,
    ( c2_1(a38)
    | ~ spl0_37
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3456,f701]) ).

fof(f3472,plain,
    ( $false
    | ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3471,f696]) ).

fof(f3473,plain,
    ( ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f3472]) ).

fof(f3474,plain,
    ( ~ c1_1(a7)
    | ~ spl0_35
    | spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f3390,f984]) ).

fof(f3487,definition,
    ( spl0_164
  <=> c2_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f3488,plain,
    ( c2_1(a37)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f3487]) ).

fof(f3501,plain,
    ( ~ c1_1(a7)
    | ~ spl0_37
    | spl0_146
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f3451,f984]) ).

fof(f3531,plain,
    ( c1_1(a13)
    | ~ spl0_62
    | ~ spl0_64
    | spl0_139 ),
    inference(resolution,[],[f1615,f946]) ).

fof(f3540,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_64
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3531,f941]) ).

fof(f3541,plain,
    ( ~ spl0_62
    | ~ spl0_64
    | spl0_138
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3540]) ).

fof(f3543,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_104
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1109,f3399]) ).

fof(f3544,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f3543]) ).

fof(f3545,plain,
    ( $false
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f1583,f3474]) ).

fof(f3546,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3545]) ).

fof(f3561,plain,
    ( ~ spl0_164
    | spl0_95
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2075,f715,f466,f710,f3487]) ).

fof(f3563,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_47
    | ~ spl0_57
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f2861,f3501]) ).

fof(f3564,plain,
    ( ~ spl0_37
    | ~ spl0_47
    | ~ spl0_57
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f3563]) ).

fof(f3565,plain,
    ( spl0_107
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f2863,f779,f506,f454,f774]) ).

fof(f3571,plain,
    ( $false
    | ~ spl0_60
    | ~ spl0_63
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f3100,f941]) ).

fof(f3572,plain,
    ( ~ spl0_60
    | ~ spl0_63
    | spl0_138
    | spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3571]) ).

fof(f3576,plain,
    ( c3_1(a20)
    | ~ spl0_31
    | ~ spl0_45
    | ~ spl0_121 ),
    inference(resolution,[],[f1049,f850]) ).

fof(f3586,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_45
    | spl0_119
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f3576,f840]) ).

fof(f3587,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3586]) ).

fof(f3601,plain,
    ( spl0_101
    | ~ spl0_31
    | ~ spl0_56
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3120,f752,f502,f379,f742]) ).

fof(f3605,plain,
    ( c2_1(a7)
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(resolution,[],[f1147,f989]) ).

fof(f3611,plain,
    ( c2_1(a28)
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(resolution,[],[f1147,f770]) ).

fof(f3640,plain,
    ( ~ spl0_75
    | ~ spl0_23
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2582,f608,f598,f342,f603]) ).

fof(f3693,plain,
    ( c3_1(a2)
    | ~ spl0_53
    | ~ spl0_59
    | spl0_154 ),
    inference(resolution,[],[f1428,f1026]) ).

fof(f3694,plain,
    ( c3_1(a13)
    | ~ spl0_53
    | ~ spl0_59
    | spl0_139 ),
    inference(resolution,[],[f1428,f946]) ).

fof(f3699,plain,
    ( c3_1(a31)
    | ~ spl0_53
    | ~ spl0_59
    | spl0_102 ),
    inference(resolution,[],[f1428,f749]) ).

fof(f3703,plain,
    ( spl0_101
    | ~ spl0_53
    | ~ spl0_59
    | spl0_102 ),
    inference(avatar_split_clause,[],[f3699,f747,f516,f483,f742]) ).

fof(f3762,plain,
    ( ~ c2_1(a21)
    | c1_1(a21)
    | ~ spl0_44
    | ~ spl0_118 ),
    inference(resolution,[],[f441,f834]) ).

fof(f3766,plain,
    ( ~ c2_1(a42)
    | c1_1(a42)
    | ~ spl0_44
    | ~ spl0_91 ),
    inference(resolution,[],[f441,f690]) ).

fof(f3775,plain,
    ( c1_1(a42)
    | ~ spl0_44
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3766,f685]) ).

fof(f3777,plain,
    ( c1_1(a21)
    | ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3762,f829]) ).

fof(f3782,plain,
    ( $false
    | ~ spl0_44
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f3775,f680]) ).

fof(f3783,plain,
    ( ~ spl0_44
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f3782]) ).

fof(f3786,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3777,f3368]) ).

fof(f3787,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3786]) ).

fof(f3791,plain,
    ( c1_1(a9)
    | c3_1(a9)
    | ~ spl0_46
    | ~ spl0_145 ),
    inference(resolution,[],[f451,f978]) ).

fof(f3792,plain,
    ( c1_1(a11)
    | c3_1(a11)
    | ~ spl0_46
    | ~ spl0_142 ),
    inference(resolution,[],[f451,f962]) ).

fof(f3800,plain,
    ( c1_1(a70)
    | c3_1(a70)
    | ~ spl0_46
    | ~ spl0_82 ),
    inference(resolution,[],[f451,f642]) ).

fof(f3803,plain,
    ( c3_1(a70)
    | ~ spl0_46
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f3800,f637]) ).

fof(f3809,plain,
    ( c3_1(a11)
    | ~ spl0_46
    | spl0_141
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f3792,f957]) ).

fof(f3810,plain,
    ( c3_1(a9)
    | ~ spl0_46
    | ~ spl0_145
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3791,f2535]) ).

fof(f3815,plain,
    ( $false
    | ~ spl0_46
    | spl0_143
    | ~ spl0_145
    | spl0_161 ),
    inference(forward_subsumption_resolution,[],[f3810,f968]) ).

fof(f3816,plain,
    ( ~ spl0_46
    | spl0_143
    | ~ spl0_145
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3815]) ).

fof(f3817,plain,
    ( ! [X118] :
        ( ~ c3_1(X118)
        | ~ c2_1(X118) )
    | ~ spl0_22
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f339,f507]) ).

fof(f3819,plain,
    ( ~ c2_1(a37)
    | ~ spl0_22
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3206,f722]) ).

fof(f3828,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f3819,f3488]) ).

fof(f3829,plain,
    ( ~ spl0_22
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f3828]) ).

fof(f3857,plain,
    ( ~ c2_1(a22)
    | ~ spl0_22
    | ~ spl0_57
    | ~ spl0_114 ),
    inference(resolution,[],[f3817,f813]) ).

fof(f3863,plain,
    ( ~ c2_1(a12)
    | ~ spl0_22
    | ~ spl0_57
    | ~ spl0_74 ),
    inference(resolution,[],[f3817,f600]) ).

fof(f3864,plain,
    ( ~ c2_1(a25)
    | ~ spl0_22
    | ~ spl0_57
    | ~ spl0_71 ),
    inference(resolution,[],[f3817,f584]) ).

fof(f3868,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_57
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f3864,f589]) ).

fof(f3869,plain,
    ( ~ spl0_22
    | ~ spl0_57
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(avatar_contradiction_clause,[],[f3868]) ).

fof(f3872,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_57
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f3857,f818]) ).

fof(f3873,plain,
    ( ~ spl0_22
    | ~ spl0_57
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3872]) ).

fof(f3876,plain,
    ( ~ c1_1(a16)
    | c3_1(a16)
    | ~ spl0_34
    | ~ spl0_130 ),
    inference(resolution,[],[f391,f898]) ).

fof(f3877,plain,
    ( ~ c1_1(a21)
    | c3_1(a21)
    | ~ spl0_34
    | ~ spl0_118 ),
    inference(resolution,[],[f391,f834]) ).

fof(f3888,plain,
    ( c3_1(a21)
    | ~ spl0_34
    | ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3877,f3777]) ).

fof(f3889,plain,
    ( c3_1(a16)
    | ~ spl0_34
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3876,f893]) ).

fof(f3891,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f3888,f824]) ).

fof(f3892,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f3891]) ).

fof(f3893,plain,
    ( $false
    | ~ spl0_34
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f3889,f888]) ).

fof(f3894,plain,
    ( ~ spl0_34
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f3893]) ).

fof(f3913,plain,
    ( c2_1(a12)
    | ~ spl0_36
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f1903,f600]) ).

fof(f3918,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | c1_1(X12) )
    | ~ spl0_44
    | ~ spl0_62 ),
    inference(forward_subsumption_resolution,[],[f535,f441]) ).

fof(f3921,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f3913,f3863]) ).

fof(f3922,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(avatar_contradiction_clause,[],[f3921]) ).

fof(f3932,plain,
    ( ~ c3_1(a12)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(resolution,[],[f3414,f610]) ).

fof(f3934,plain,
    ( ~ c3_1(a54)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_67 ),
    inference(resolution,[],[f3414,f562]) ).

fof(f3935,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f3934,f552]) ).

fof(f3936,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f3935]) ).

fof(f3953,plain,
    ( c1_1(a20)
    | ~ spl0_44
    | ~ spl0_62
    | ~ spl0_121 ),
    inference(resolution,[],[f3918,f850]) ).

fof(f3959,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_62
    | spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f3953,f845]) ).

fof(f3960,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f3959]) ).

fof(f3987,plain,
    ( c0_1(a19)
    | c3_1(a19)
    | ~ spl0_53
    | ~ spl0_124 ),
    inference(resolution,[],[f484,f866]) ).

fof(f3996,plain,
    ( c3_1(a19)
    | ~ spl0_53
    | spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3987,f861]) ).

fof(f3998,plain,
    ( $false
    | ~ spl0_53
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3996,f856]) ).

fof(f3999,plain,
    ( ~ spl0_53
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3998]) ).

fof(f4013,plain,
    ( ~ c3_1(a42)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f3414,f690]) ).

fof(f4024,plain,
    ( ~ c3_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_50
    | ~ spl0_91 ),
    inference(resolution,[],[f471,f690]) ).

fof(f4046,plain,
    ( c1_1(a36)
    | ~ c2_1(a36)
    | ~ spl0_57
    | ~ spl0_99 ),
    inference(resolution,[],[f507,f733]) ).

fof(f4050,plain,
    ( ~ c2_1(a36)
    | ~ spl0_57
    | spl0_98
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f4046,f728]) ).

fof(f4051,plain,
    ( $false
    | ~ spl0_57
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f4050,f738]) ).

fof(f4052,plain,
    ( ~ spl0_57
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f4051]) ).

fof(f4066,plain,
    ( spl0_146
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3605,f987,f454,f395,f982]) ).

fof(f4067,plain,
    ( spl0_104
    | ~ spl0_35
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3611,f768,f454,f395,f758]) ).

fof(f4075,plain,
    ( spl0_104
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2745,f768,f494,f400,f758]) ).

fof(f4076,plain,
    ( spl0_164
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2747,f715,f494,f400,f3487]) ).

fof(f4078,plain,
    ( spl0_153
    | ~ spl0_55
    | ~ spl0_59
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2900,f1024,f516,f494,f1019]) ).

fof(f4089,plain,
    ( ~ c3_1(a27)
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_109 ),
    inference(resolution,[],[f786,f3414]) ).

fof(f4091,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f4089,f781]) ).

fof(f4092,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f4091]) ).

fof(f4101,plain,
    ( spl0_80
    | ~ spl0_46
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f3803,f640,f635,f450,f630]) ).

fof(f4102,plain,
    ( $false
    | ~ spl0_36
    | ~ spl0_46
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f3809,f3007]) ).

fof(f4103,plain,
    ( ~ spl0_36
    | ~ spl0_46
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_contradiction_clause,[],[f4102]) ).

fof(f4105,plain,
    ( spl0_152
    | ~ spl0_53
    | ~ spl0_59
    | spl0_154 ),
    inference(avatar_split_clause,[],[f3693,f1024,f516,f483,f1014]) ).

fof(f4106,plain,
    ( spl0_137
    | ~ spl0_53
    | ~ spl0_59
    | spl0_139 ),
    inference(avatar_split_clause,[],[f3694,f944,f516,f483,f934]) ).

fof(f4108,plain,
    ( spl0_137
    | ~ spl0_54
    | ~ spl0_63
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2045,f944,f540,f490,f934]) ).

fof(f4109,plain,
    ( spl0_102
    | ~ spl0_54
    | spl0_101
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2136,f752,f742,f490,f747]) ).

fof(f4115,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f4013,f3227]) ).

fof(f4116,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f4115]) ).

fof(f4117,plain,
    ( ~ c2_1(a42)
    | ~ spl0_32
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f4024,f3227]) ).

fof(f4123,plain,
    ( ~ spl0_74
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3932,f608,f470,f400,f598]) ).

fof(f4125,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f4117,f685]) ).

fof(f4126,plain,
    ( ~ spl0_32
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f4125]) ).

fof(f4155,plain,
    ( c3_1(a1)
    | ~ spl0_32
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(resolution,[],[f1406,f1037]) ).

fof(f4158,plain,
    ( c3_1(a20)
    | ~ spl0_32
    | ~ spl0_53
    | ~ spl0_121 ),
    inference(resolution,[],[f1406,f850]) ).

fof(f4172,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f4158,f840]) ).

fof(f4173,plain,
    ( ~ spl0_32
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f4172]) ).

fof(f4174,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_53
    | spl0_155
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f4155,f1032]) ).

fof(f4175,plain,
    ( ~ spl0_32
    | ~ spl0_53
    | spl0_155
    | ~ spl0_156 ),
    inference(avatar_contradiction_clause,[],[f4174]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s4,plain,
    ( spl0_5
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s5,plain,
    ( spl0_8
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s6,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s7,plain,
    ( spl0_13
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s9,plain,
    ( spl0_12
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s10,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_23 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s11,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s12,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_23
    | spl0_26 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s13,plain,
    ( spl0_9
    | spl0_16
    | ~ spl0_21
    | spl0_23 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s14,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s15,plain,
    ( spl0_4
    | ~ spl0_21
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s16,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s17,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s18,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s19,plain,
    ( spl0_15
    | ~ spl0_21
    | spl0_23
    | spl0_34 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s20,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s21,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s22,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_21
    | spl0_36 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s23,plain,
    ( spl0_12
    | ~ spl0_21
    | spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s24,plain,
    ( spl0_10
    | spl0_17
    | ~ spl0_21
    | spl0_37 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s25,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_21
    | spl0_37 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s27,plain,
    ( ~ spl0_21
    | spl0_34
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s28,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s29,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_21
    | spl0_39 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s31,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s32,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_21
    | spl0_42 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s33,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_32
    | spl0_42 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s35,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s36,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_38
    | spl0_44 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s37,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s38,plain,
    ( ~ spl0_21
    | spl0_41
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s39,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_41
    | spl0_47 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s41,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_25
    | spl0_47 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s42,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_35
    | spl0_47 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s43,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_36
    | spl0_47 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s44,plain,
    ( spl0_2
    | spl0_14
    | ~ spl0_21
    | spl0_48 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s45,plain,
    ( spl0_10
    | spl0_14
    | ~ spl0_21
    | spl0_49 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s46,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s47,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_31
    | spl0_49 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s49,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s52,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_31
    | spl0_53 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s53,plain,
    ( ~ spl0_21
    | spl0_46
    | spl0_48
    | spl0_53 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s54,plain,
    ( spl0_9
    | spl0_10
    | ~ spl0_21
    | spl0_54 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s55,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_29
    | spl0_55 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s58,plain,
    ( ~ spl0_21
    | spl0_34
    | spl0_38
    | spl0_55 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s59,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_36
    | spl0_55 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s60,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s62,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_30
    | spl0_58 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s63,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_28
    | spl0_58 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s64,plain,
    ( ~ spl0_21
    | spl0_39
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s67,plain,
    ( spl0_16
    | ~ spl0_21
    | spl0_37
    | spl0_59 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s68,plain,
    ( ~ spl0_21
    | spl0_31
    | spl0_44
    | spl0_59 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s69,plain,
    ( spl0_7
    | ~ spl0_21
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s70,plain,
    ( ~ spl0_21
    | spl0_48
    | spl0_57
    | spl0_59 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | spl0_24
    | spl0_49
    | spl0_59 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s72,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_23
    | spl0_60 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s73,plain,
    ( ~ spl0_21
    | spl0_55
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s74,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_24
    | spl0_62 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s75,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_35
    | spl0_62 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s76,plain,
    ( spl0_8
    | ~ spl0_21
    | spl0_47
    | spl0_62 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s77,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_21
    | spl0_63 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s78,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_24
    | spl0_63 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s79,plain,
    ( ~ spl0_21
    | spl0_35
    | spl0_37
    | spl0_63 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s80,plain,
    ( ~ spl0_21
    | spl0_45
    | spl0_56
    | spl0_64 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s81,plain,
    ( ~ spl0_26
    | spl0_65 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s82,plain,
    ( ~ spl0_26
    | spl0_66 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s83,plain,
    ( ~ spl0_26
    | spl0_67 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s86,plain,
    ( ~ spl0_19
    | spl0_69 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | spl0_70 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s89,plain,
    ( ~ spl0_3
    | spl0_71 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s90,plain,
    ( ~ spl0_3
    | spl0_72 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s91,plain,
    ( ~ spl0_3
    | spl0_73 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s92,plain,
    ( ~ spl0_3
    | spl0_21 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s93,plain,
    ( ~ spl0_16
    | spl0_74 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s94,plain,
    ( ~ spl0_16
    | spl0_75 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s95,plain,
    ( ~ spl0_16
    | spl0_76 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s102,plain,
    ( ~ spl0_6
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | spl0_82 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s105,plain,
    ( ~ spl0_12
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s106,plain,
    ( ~ spl0_12
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s107,plain,
    ( ~ spl0_12
    | spl0_85 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s113,plain,
    ( ~ spl0_25
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s114,plain,
    ( ~ spl0_25
    | spl0_90 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s115,plain,
    ( ~ spl0_25
    | spl0_91 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s117,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s118,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s119,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s121,plain,
    ( ~ spl0_2
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s122,plain,
    ( ~ spl0_2
    | spl0_96 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s123,plain,
    ( ~ spl0_2
    | spl0_97 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s124,plain,
    ( ~ spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s125,plain,
    ( ~ spl0_4
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s126,plain,
    ( ~ spl0_4
    | spl0_99 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s127,plain,
    ( ~ spl0_4
    | spl0_100 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s129,plain,
    ( ~ spl0_41
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s130,plain,
    ( ~ spl0_41
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s131,plain,
    ( ~ spl0_41
    | spl0_103 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s133,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s134,plain,
    ( ~ spl0_10
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s135,plain,
    ( ~ spl0_10
    | spl0_106 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s137,plain,
    ( ~ spl0_9
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s138,plain,
    ( ~ spl0_9
    | spl0_108 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s139,plain,
    ( ~ spl0_9
    | spl0_109 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s141,plain,
    ( ~ spl0_43
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s142,plain,
    ( ~ spl0_43
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s143,plain,
    ( ~ spl0_43
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s146,plain,
    ( ~ spl0_17
    | spl0_114 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s147,plain,
    ( ~ spl0_17
    | spl0_115 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s149,plain,
    ( ~ spl0_13
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s150,plain,
    ( ~ spl0_13
    | spl0_117 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s151,plain,
    ( ~ spl0_13
    | spl0_118 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s153,plain,
    ( ~ spl0_38
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s154,plain,
    ( ~ spl0_38
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s155,plain,
    ( ~ spl0_38
    | spl0_121 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s157,plain,
    ( ~ spl0_27
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s158,plain,
    ( ~ spl0_27
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s159,plain,
    ( ~ spl0_27
    | spl0_124 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s161,plain,
    ( ~ spl0_33
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s162,plain,
    ( ~ spl0_33
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s163,plain,
    ( ~ spl0_33
    | spl0_127 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s165,plain,
    ( ~ spl0_11
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s166,plain,
    ( ~ spl0_11
    | spl0_129 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s167,plain,
    ( ~ spl0_11
    | spl0_130 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s169,plain,
    ( ~ spl0_15
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s170,plain,
    ( ~ spl0_15
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s173,plain,
    ( ~ spl0_29
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s174,plain,
    ( ~ spl0_29
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s175,plain,
    ( ~ spl0_29
    | spl0_136 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s177,plain,
    ( ~ spl0_30
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s178,plain,
    ( ~ spl0_30
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s179,plain,
    ( ~ spl0_30
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s181,plain,
    ( ~ spl0_7
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s182,plain,
    ( ~ spl0_7
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s183,plain,
    ( ~ spl0_7
    | spl0_142 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s185,plain,
    ( ~ spl0_5
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s186,plain,
    ( ~ spl0_5
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s187,plain,
    ( ~ spl0_5
    | spl0_145 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s189,plain,
    ( ~ spl0_20
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s190,plain,
    ( ~ spl0_20
    | spl0_147 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s191,plain,
    ( ~ spl0_20
    | spl0_148 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s193,plain,
    ( ~ spl0_8
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s194,plain,
    ( ~ spl0_8
    | spl0_150 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s195,plain,
    ( ~ spl0_8
    | spl0_151 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s197,plain,
    ( ~ spl0_1
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s198,plain,
    ( ~ spl0_1
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s199,plain,
    ( ~ spl0_1
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s200,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s201,plain,
    ( ~ spl0_24
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s202,plain,
    ( ~ spl0_24
    | spl0_156 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s203,plain,
    ( ~ spl0_24
    | spl0_157 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s206,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_49
    | ~ spl0_53
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s216,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s218,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s239,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s245,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1191]) ).

cnf(s246,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s279,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_48
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s315,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_52
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1440]) ).

cnf(s326,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | ~ spl0_55
    | ~ spl0_59
    | spl0_132 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s332,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f1498]) ).

cnf(s333,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_143
    | spl0_144 ),
    inference(sat_conversion,[],[f1500]) ).

cnf(s334,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s336,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s340,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s349,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s350,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f1574]) ).

cnf(s353,plain,
    ( ~ spl0_28
    | ~ spl0_44
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1580]) ).

cnf(s358,plain,
    ( ~ spl0_23
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_48
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1599]) ).

cnf(s363,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | spl0_140
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1608]) ).

cnf(s367,plain,
    ( ~ spl0_23
    | ~ spl0_42
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s400,plain,
    ( ~ spl0_35
    | ~ spl0_56
    | spl0_134
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s429,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s430,plain,
    ( ~ spl0_35
    | ~ spl0_56
    | spl0_149
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s431,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s457,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s471,plain,
    ( ~ spl0_39
    | ~ spl0_59
    | ~ spl0_62
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s472,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s493,plain,
    ( ~ spl0_23
    | ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s515,plain,
    ( ~ spl0_58
    | ~ spl0_64
    | spl0_110
    | spl0_112 ),
    inference(sat_conversion,[],[f2296]) ).

cnf(s517,plain,
    ( ~ spl0_58
    | ~ spl0_64
    | spl0_134
    | spl0_135 ),
    inference(sat_conversion,[],[f2300]) ).

cnf(s518,plain,
    ( ~ spl0_31
    | ~ spl0_39
    | ~ spl0_59
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s520,plain,
    ( ~ spl0_23
    | ~ spl0_42
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s524,plain,
    ( ~ spl0_23
    | ~ spl0_42
    | ~ spl0_48
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s531,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f2368]) ).

cnf(s586,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | spl0_92
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2500]) ).

cnf(s598,plain,
    ( ~ spl0_48
    | spl0_143
    | spl0_144
    | spl0_161 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s615,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s621,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2615]) ).

cnf(s624,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_39
    | ~ spl0_50
    | ~ spl0_53
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2618]) ).

cnf(s627,plain,
    ( ~ spl0_45
    | ~ spl0_57
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2623]) ).

cnf(s628,plain,
    ( ~ spl0_45
    | ~ spl0_57
    | spl0_83
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2624]) ).

cnf(s650,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2741]) ).

cnf(s656,plain,
    ( ~ spl0_47
    | ~ spl0_48
    | spl0_140
    | spl0_141 ),
    inference(sat_conversion,[],[f2757]) ).

cnf(s657,plain,
    ( ~ spl0_45
    | ~ spl0_48
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2758]) ).

cnf(s670,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s672,plain,
    ( ~ spl0_23
    | ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f2785]) ).

cnf(s673,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2786]) ).

cnf(s674,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_125
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s711,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | spl0_134
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2931]) ).

cnf(s714,plain,
    ( ~ spl0_37
    | ~ spl0_58
    | spl0_153
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2937]) ).

cnf(s716,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_102 ),
    inference(sat_conversion,[],[f2952]) ).

cnf(s720,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_63
    | spl0_135 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s725,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | ~ spl0_58
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2992]) ).

cnf(s728,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f2996]) ).

cnf(s765,plain,
    ( ~ spl0_60
    | ~ spl0_63
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f3112]) ).

cnf(s781,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_143
    | spl0_144 ),
    inference(sat_conversion,[],[f3176]) ).

cnf(s783,plain,
    ( ~ spl0_48
    | ~ spl0_56
    | spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f3180]) ).

cnf(s790,plain,
    ( ~ spl0_32
    | ~ spl0_48
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f3238]) ).

cnf(s793,plain,
    ( ~ spl0_32
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3244]) ).

cnf(s795,plain,
    ( ~ spl0_32
    | ~ spl0_48
    | ~ spl0_56
    | spl0_128
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f3248]) ).

cnf(s797,plain,
    ( ~ spl0_23
    | ~ spl0_48
    | ~ spl0_56
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f3287]) ).

cnf(s799,plain,
    ( ~ spl0_22
    | ~ spl0_31
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f3311]) ).

cnf(s800,plain,
    ( ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f3313]) ).

cnf(s807,plain,
    ( ~ spl0_49
    | ~ spl0_61
    | ~ spl0_64
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3341]) ).

cnf(s815,plain,
    ( ~ spl0_31
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3386]) ).

cnf(s816,plain,
    ( ~ spl0_35
    | ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f3403]) ).

cnf(s818,plain,
    ( ~ spl0_35
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f3407]) ).

cnf(s819,plain,
    ( ~ spl0_31
    | ~ spl0_62
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3418]) ).

cnf(s820,plain,
    ( ~ spl0_62
    | spl0_83
    | spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f3419]) ).

cnf(s822,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3424]) ).

cnf(s823,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f3426]) ).

cnf(s824,plain,
    ( ~ spl0_22
    | ~ spl0_35
    | ~ spl0_71
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f3427]) ).

cnf(s826,plain,
    ( ~ spl0_22
    | ~ spl0_31
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f3429]) ).

cnf(s833,plain,
    ( ~ spl0_48
    | spl0_152
    | spl0_153
    | spl0_160 ),
    inference(sat_conversion,[],[f3440]) ).

cnf(s838,plain,
    ( ~ spl0_37
    | spl0_144
    | ~ spl0_145
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f3470]) ).

cnf(s839,plain,
    ( ~ spl0_37
    | spl0_92
    | ~ spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f3473]) ).

cnf(s859,plain,
    ( ~ spl0_62
    | ~ spl0_64
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f3541]) ).

cnf(s861,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_104
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f3544]) ).

cnf(s863,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | ~ spl0_48
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f3546]) ).

cnf(s869,plain,
    ( ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3561]) ).

cnf(s871,plain,
    ( ~ spl0_37
    | ~ spl0_47
    | ~ spl0_57
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f3564]) ).

cnf(s872,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f3565]) ).

cnf(s874,plain,
    ( ~ spl0_60
    | ~ spl0_63
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f3572]) ).

cnf(s875,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | spl0_119
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3587]) ).

cnf(s884,plain,
    ( ~ spl0_31
    | ~ spl0_56
    | spl0_101
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3601]) ).

cnf(s891,plain,
    ( ~ spl0_23
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3640]) ).

cnf(s917,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f3703]) ).

cnf(s926,plain,
    ( ~ spl0_44
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f3783]) ).

cnf(s928,plain,
    ( ~ spl0_31
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3787]) ).

cnf(s931,plain,
    ( ~ spl0_46
    | spl0_143
    | ~ spl0_145
    | spl0_161 ),
    inference(sat_conversion,[],[f3816]) ).

cnf(s937,plain,
    ( ~ spl0_22
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f3829]) ).

cnf(s942,plain,
    ( ~ spl0_22
    | ~ spl0_57
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f3869]) ).

cnf(s944,plain,
    ( ~ spl0_22
    | ~ spl0_57
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3873]) ).

cnf(s946,plain,
    ( ~ spl0_34
    | ~ spl0_44
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3892]) ).

cnf(s947,plain,
    ( ~ spl0_34
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f3894]) ).

cnf(s955,plain,
    ( ~ spl0_22
    | ~ spl0_36
    | ~ spl0_57
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3922]) ).

cnf(s956,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f3936]) ).

cnf(s958,plain,
    ( ~ spl0_44
    | ~ spl0_62
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f3960]) ).

cnf(s960,plain,
    ( ~ spl0_53
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f3999]) ).

cnf(s963,plain,
    ( ~ spl0_57
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f4052]) ).

cnf(s969,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f4066]) ).

cnf(s972,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | spl0_104
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f4067]) ).

cnf(s983,plain,
    ( ~ spl0_36
    | ~ spl0_55
    | spl0_104
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f4075]) ).

cnf(s984,plain,
    ( ~ spl0_36
    | ~ spl0_55
    | ~ spl0_96
    | spl0_164 ),
    inference(sat_conversion,[],[f4076]) ).

cnf(s986,plain,
    ( ~ spl0_55
    | ~ spl0_59
    | spl0_153
    | spl0_154 ),
    inference(sat_conversion,[],[f4078]) ).

cnf(s997,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f4092]) ).

cnf(s1001,plain,
    ( ~ spl0_46
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f4101]) ).

cnf(s1002,plain,
    ( ~ spl0_36
    | ~ spl0_46
    | spl0_140
    | spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f4103]) ).

cnf(s1003,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_152
    | spl0_154 ),
    inference(sat_conversion,[],[f4105]) ).

cnf(s1004,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_137
    | spl0_139 ),
    inference(sat_conversion,[],[f4106]) ).

cnf(s1006,plain,
    ( ~ spl0_54
    | ~ spl0_63
    | spl0_137
    | spl0_139 ),
    inference(sat_conversion,[],[f4108]) ).

cnf(s1007,plain,
    ( ~ spl0_54
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f4109]) ).

cnf(s1009,plain,
    ( ~ spl0_32
    | ~ spl0_36
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f4116]) ).

cnf(s1012,plain,
    ( ~ spl0_36
    | ~ spl0_50
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f4123]) ).

cnf(s1014,plain,
    ( ~ spl0_32
    | ~ spl0_50
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f4126]) ).

cnf(s1030,plain,
    ( ~ spl0_32
    | ~ spl0_53
    | spl0_119
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f4173]) ).

cnf(s1031,plain,
    ( ~ spl0_32
    | ~ spl0_53
    | spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f4175]) ).

cnf(s1032,plain,
    ( ~ spl0_14
    | ~ spl0_37 ),
    inference(rat,[],[s839,s117,s118,s119]) ).

cnf(s1033,plain,
    ( spl0_42
    | ~ spl0_48
    | ~ spl0_50
    | spl0_5
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s1014,s114,s115,s41,s340,s141,s142,s31,s33]) ).

cnf(s1034,plain,
    ( ~ spl0_9
    | ~ spl0_42
    | ~ spl0_23 ),
    inference(rat,[],[s520,s138,s139]) ).

cnf(s1035,plain,
    ( ~ spl0_11
    | ~ spl0_59
    | ~ spl0_39
    | ~ spl0_31 ),
    inference(rat,[],[s518,s165,s166]) ).

cnf(s1036,plain,
    ( ~ spl0_20
    | ~ spl0_42
    | ~ spl0_23 ),
    inference(rat,[],[s367,s190,s191]) ).

cnf(s1037,plain,
    ( spl0_7
    | spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s820,s105,s106,s107,s9,s1036,s75,s818,s193,s194,s195,s4,s1034,s1033,s44,s1032,s46,s800,s47,s672,s25,s10,s92,s91,s90,s89,s1]) ).

cnf(s1038,plain,
    ( spl0_14
    | spl0_140
    | spl0_141
    | ~ spl0_142
    | spl0_6
    | spl0_5
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s1033,s46,s524,s672,s14,s800,s43,s363,s656,s29,s44]) ).

cnf(s1039,plain,
    ( ~ spl0_42
    | spl0_22
    | ~ spl0_23
    | spl0_5
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s75,s820,s818,s105,s106,s107,s193,s194,s195,s9,s4,s1036,s1034]) ).

cnf(s1040,plain,
    ( ~ spl0_38
    | ~ spl0_53
    | ~ spl0_32 ),
    inference(rat,[],[s1030,s153,s155]) ).

cnf(s1041,plain,
    ( ~ spl0_23
    | spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1009,s114,s115,s28,s1040,s53,s1033,s33,s1039,s46,s586,s1002,s800,s27,s47,s245,s672,s119,s118,s117,s1032,s1038,s181,s182,s183,s1037,s89,s90,s91,s92,s1]) ).

cnf(s1042,plain,
    ( spl0_6
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s206,s38,s16,s130,s174,s716,s720,s64,s53,s586,s1002,s27,s947,s656,s165,s166,s167,s79,s42,s21,s47,s824,s826,s942,s72,s14,s1041,s1032,s117,s119,s1038,s181,s182,s183,s1037,s92,s91,s90,s89,s1]) ).

cnf(s1043,plain,
    ( ~ spl0_23
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1009,s114,s115,s28,s586,s27,s245,s1040,s1032,s117,s118,s119,s53,s44,s1033,s33,s1039,s46,s800,s47,s672,s92,s91,s90,s89,s1,s1001,s101,s102,s103,s1042]) ).

cnf(s1044,plain,
    ( ~ spl0_24
    | ~ spl0_31 ),
    inference(rat,[],[s815,s201,s202,s203]) ).

cnf(s1045,plain,
    ( ~ spl0_31
    | ~ spl0_60
    | spl0_23
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s765,s161,s162,s37,s875,s153,s155,s36,s926,s113,s114,s115,s11,s78,s1044]) ).

cnf(s1046,plain,
    ( ~ spl0_48
    | ~ spl0_49
    | spl0_31
    | ~ spl0_60
    | spl0_80
    | spl0_81
    | ~ spl0_82
    | spl0_5
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s958,s154,s155,s68,s58,s471,s947,s29,s165,s166,s167,s1032,s21,s79,s75,s430,s193,s195,s60,s77,s673,s874,s162,s163,s177,s178,s179,s37,s17,s615,s790]) ).

cnf(s1047,plain,
    ( ~ spl0_27
    | ~ spl0_53 ),
    inference(rat,[],[s960,s157,s158,s159]) ).

cnf(s1048,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s917,s129,s130,s68,s38,s206,s15,s1047,s53,s1046,s47,s1045,s72,s1043,s1001,s101,s102,s103,s1042,s92,s90,s1]) ).

cnf(s1049,plain,
    ( ~ spl0_7
    | ~ spl0_48
    | ~ spl0_23
    | ~ spl0_50
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s1014,s114,s115,s41,s33,s656,s524,s181,s182,s183]) ).

cnf(s1050,plain,
    ( spl0_20
    | spl0_24
    | spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s820,s105,s106,s107,s74,s9]) ).

cnf(s1051,plain,
    ( ~ spl0_48
    | ~ spl0_32
    | ~ spl0_23
    | ~ spl0_50
    | ~ spl0_5
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s790,s101,s102,s103,s25,s838,s1049,s598,s187,s186,s185]) ).

cnf(s1052,plain,
    ( ~ spl0_23
    | ~ spl0_20
    | ~ spl0_50
    | ~ spl0_5
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s27,s245,s1032,s118,s119,s44,s1051,s33,s1036,s822,s189,s190,s191]) ).

cnf(s1053,plain,
    ( ~ spl0_30
    | ~ spl0_62
    | ~ spl0_64 ),
    inference(rat,[],[s859,s178,s179]) ).

cnf(s1054,plain,
    ( ~ spl0_62
    | spl0_37
    | ~ spl0_64
    | ~ spl0_21 ),
    inference(rat,[],[s820,s105,s106,s107,s23,s1053]) ).

cnf(s1055,plain,
    ( spl0_47
    | spl0_62
    | spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s818,s193,s194,s195,s76,s42]) ).

cnf(s1056,plain,
    ( spl0_49
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s863,s75,s1055,s1054,s838,s598,s80,s53,s875,s917,s884,s153,s155,s129,s130,s131,s36,s38,s926,s1001,s113,s114,s115,s101,s102,s103,s11,s14,s1052,s189,s190,s1050,s71,s46,s1044,s800,s47,s92,s91,s90,s1,s187,s186,s185]) ).

cnf(s1057,plain,
    ( ~ spl0_31
    | ~ spl0_49
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s73,s673,s807,s161,s162,s163,s80,s37,s875,s884,s153,s155,s129,s131,s36,s38,s926,s1001,s113,s114,s115,s101,s102,s103,s11,s14,s1045,s1044,s800,s92,s672,s89,s90,s91]) ).

cnf(s1058,plain,
    ( ~ spl0_33
    | ~ spl0_55
    | ~ spl0_49 ),
    inference(rat,[],[s673,s162,s163]) ).

cnf(s1059,plain,
    ( ~ spl0_6
    | ~ spl0_45
    | ~ spl0_48 ),
    inference(rat,[],[s615,s101,s102]) ).

cnf(s1060,plain,
    ( ~ spl0_48
    | ~ spl0_49
    | spl0_143
    | spl0_144
    | ~ spl0_145
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s656,s42,s181,s182,s824,s25,s14,s1059,s37,s1058,s60,s838,s781,s598,s92,s672,s89,s90,s91,s1057]) ).

cnf(s1061,plain,
    ( spl0_46
    | spl0_48
    | spl0_31
    | ~ spl0_49
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s917,s129,s130,s68,s38,s206,s15,s1047,s53,s92,s90]) ).

cnf(s1062,plain,
    ( ~ spl0_6
    | ~ spl0_46 ),
    inference(rat,[],[s1001,s101,s102,s103]) ).

cnf(s1063,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s947,s27,s165,s166,s167,s1002,s21,s181,s182,s183,s824,s25,s14,s1062,s1061,s1032,s44,s1060,s1057,s672,s1056,s185,s186,s187,s1048,s92,s91,s90,s89,s1]) ).

cnf(s1064,plain,
    ( spl0_49
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1045,s72,s1043,s1056,s47,s92,s1]) ).

cnf(s1065,plain,
    ( ~ spl0_30
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(rat,[],[s1004,s177,s179]) ).

cnf(s1066,plain,
    ( ~ spl0_53
    | spl0_37
    | ~ spl0_59
    | ~ spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s431,s106,s107,s23,s1065]) ).

cnf(s1067,plain,
    ( spl0_48
    | spl0_31
    | spl0_23
    | ~ spl0_49
    | spl0_57
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s79,s824,s728,s14,s177,s178,s1062,s52,s53,s1066,s1032,s70,s44]) ).

cnf(s1068,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1060,s185,s186,s187,s1067,s1057,s672,s90,s1064,s963,s125,s126,s127,s1063,s89,s91,s92,s1]) ).

cnf(s1069,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s1046,s101,s102,s103,s72,s1042,s1068,s1067,s1057,s672,s1064,s963,s125,s126,s127,s1063,s89,s90,s91,s92,s1]) ).

cnf(s1070,plain,
    ( spl0_23
    | ~ spl0_5
    | ~ spl0_48
    | spl0_146
    | ~ spl0_147
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s863,s1055,s75,s1054,s80,s1059,s14,s124,s1069,s781,s838,s598,s185,s187,s186]) ).

cnf(s1071,plain,
    ( spl0_62
    | spl0_47
    | spl0_1 ),
    inference(rat,[],[s818,s193,s194,s195,s76,s75,s124,s1069]) ).

cnf(s1072,plain,
    ( ~ spl0_19
    | ~ spl0_23
    | ~ spl0_34 ),
    inference(rat,[],[s218,s86,s87]) ).

cnf(s1073,plain,
    ( ~ spl0_5
    | ~ spl0_48
    | spl0_36
    | spl0_146
    | ~ spl0_147
    | spl0_22
    | spl0_1 ),
    inference(rat,[],[s246,s166,s167,s22,s1072,s1070,s27,s838,s598,s185,s186,s187,s124,s1069]) ).

cnf(s1074,plain,
    ( spl0_23
    | spl0_5
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s72,s1045,s124,s1069]) ).

cnf(s1075,plain,
    ( ~ spl0_34
    | ~ spl0_23
    | spl0_36
    | ~ spl0_21 ),
    inference(rat,[],[s246,s166,s167,s22,s1072]) ).

cnf(s1076,plain,
    ( spl0_5
    | spl0_36
    | ~ spl0_59
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s493,s86,s87,s22,s1035,s29,s1032,s27,s1075,s1074,s124,s1069]) ).

cnf(s1077,plain,
    ( spl0_23
    | spl0_48
    | ~ spl0_59
    | spl0_24
    | spl0_22
    | ~ spl0_21 ),
    inference(rat,[],[s917,s129,s130,s38,s926,s53,s113,s114,s115,s1062,s11,s14]) ).

cnf(s1078,plain,
    ( ~ spl0_11
    | ~ spl0_28
    | ~ spl0_37 ),
    inference(rat,[],[s457,s166,s167]) ).

cnf(s1079,plain,
    ( ~ spl0_28
    | ~ spl0_37
    | spl0_36
    | ~ spl0_21 ),
    inference(rat,[],[s216,s86,s87,s22,s1078]) ).

cnf(s1080,plain,
    ( ~ spl0_41
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(rat,[],[s917,s129,s130]) ).

cnf(s1081,plain,
    ( ~ spl0_13
    | ~ spl0_45
    | ~ spl0_31 ),
    inference(rat,[],[s239,s149,s150]) ).

cnf(s1082,plain,
    ( spl0_13
    | spl0_41
    | spl0_42
    | spl0_146
    | ~ spl0_147
    | spl0_1 ),
    inference(rat,[],[s820,s75,s105,s106,s107,s969,s32,s39,s124,s1069]) ).

cnf(s1083,plain,
    ( ~ spl0_31
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s928,s149,s150,s151,s1082,s38,s1080,s53,s931,s838,s27,s1075,s1036,s1077,s1073,s185,s186,s187,s1076,s822,s189,s190,s191,s1050,s71,s1044,s800,s124,s1069,s91,s90]) ).

cnf(s1084,plain,
    ( ~ spl0_11
    | ~ spl0_34 ),
    inference(rat,[],[s947,s165,s166,s167]) ).

cnf(s1085,plain,
    ( ~ spl0_43
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(rat,[],[s515,s141,s143]) ).

cnf(s1086,plain,
    ( ~ spl0_58
    | ~ spl0_68
    | ~ spl0_70
    | spl0_11
    | ~ spl0_64
    | spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s517,s173,s174,s16,s350,s35,s1085]) ).

cnf(s1087,plain,
    ( ~ spl0_26
    | spl0_57
    | ~ spl0_64
    | ~ spl0_50
    | spl0_37
    | spl0_143
    | spl0_144
    | spl0_23
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s68,s349,s333,s63,s64,s1086,s85,s87,s22,s1084,s27,s956,s81,s82,s83]) ).

cnf(s1088,plain,
    ( spl0_22
    | ~ spl0_5
    | spl0_23
    | ~ spl0_48
    | spl0_31
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s1070,s189,s190,s12,s1087,s674,s1055,s1054,s161,s163,s80,s37,s1059,s14,s46,s124,s1069,s781,s838,s598,s185,s187,s186]) ).

cnf(s1089,plain,
    ( ~ spl0_5
    | spl0_23
    | ~ spl0_48
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s27,s1084,s984,s21,s937,s824,s1088,s60,s838,s781,s598,s185,s186,s187,s124,s123,s122,s1069,s91,s89,s1083]) ).

cnf(s1090,plain,
    ( spl0_63
    | spl0_37
    | spl0_1 ),
    inference(rat,[],[s818,s193,s194,s195,s79,s77,s124,s1069]) ).

cnf(s1091,plain,
    ( ~ spl0_33
    | ~ spl0_63
    | ~ spl0_60 ),
    inference(rat,[],[s765,s161,s162]) ).

cnf(s1092,plain,
    ( spl0_37
    | ~ spl0_60
    | spl0_23
    | ~ spl0_48
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s656,s42,s181,s182,s824,s25,s14,s1059,s37,s1091,s1090,s124,s1069,s91,s89]) ).

cnf(s1093,plain,
    ( ~ spl0_6
    | ~ spl0_39
    | ~ spl0_60
    | spl0_23
    | ~ spl0_48
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s656,s181,s182,s69,s471,s42,s75,s818,s193,s194,s195,s77,s177,s178,s179,s1091,s17,s37,s790,s1059,s101,s102,s103,s124,s1069]) ).

cnf(s1094,plain,
    ( spl0_23
    | ~ spl0_48
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s656,s42,s181,s182,s824,s10,s14,s1093,s29,s1032,s1092,s72,s1089,s124,s1069,s91,s89,s1083]) ).

cnf(s1095,plain,
    ( ~ spl0_7
    | ~ spl0_47
    | ~ spl0_48 ),
    inference(rat,[],[s656,s181,s182]) ).

cnf(s1096,plain,
    ( ~ spl0_10
    | ~ spl0_47
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(rat,[],[s861,s133,s135]) ).

cnf(s1097,plain,
    ( ~ spl0_6
    | ~ spl0_50
    | ~ spl0_5
    | ~ spl0_23
    | ~ spl0_48
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s997,s138,s139,s54,s1096,s27,s358,s1006,s1071,s75,s177,s179,s1054,s17,s80,s790,s1059,s101,s102,s103,s124,s1069,s781,s1090,s838,s598,s185,s187,s186]) ).

cnf(s1098,plain,
    ( ~ spl0_12
    | ~ spl0_62 ),
    inference(rat,[],[s820,s105,s106,s107]) ).

cnf(s1099,plain,
    ( ~ spl0_62
    | ~ spl0_5
    | ~ spl0_48
    | ~ spl0_21 ),
    inference(rat,[],[s657,s177,s178,s23,s1098,s80,s1054,s781,s838,s598,s185,s187,s186]) ).

cnf(s1100,plain,
    ( ~ spl0_5
    | ~ spl0_48
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s1097,s25,s46,s1095,s824,s1071,s75,s1099,s838,s598,s185,s186,s187,s124,s1069,s91,s89,s1083,s1094]) ).

cnf(s1101,plain,
    ( spl0_22
    | spl0_5
    | ~ spl0_23
    | ~ spl0_48
    | spl0_31
    | spl0_1 ),
    inference(rat,[],[s822,s189,s190,s191,s9,s1098,s1071,s43,s340,s141,s142,s31,s1039,s124,s1069]) ).

cnf(s1102,plain,
    ( spl0_37
    | spl0_34
    | ~ spl0_62
    | spl0_164
    | spl0_5
    | ~ spl0_23
    | ~ spl0_48
    | spl0_31
    | ~ spl0_2 ),
    inference(rat,[],[s797,s117,s118,s119,s29,s471,s68,s958,s154,s155,s58,s60,s984,s177,s178,s179,s27,s23,s124,s122,s1098]) ).

cnf(s1103,plain,
    ( ~ spl0_48
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s43,s336,s1095,s181,s183,s69,s657,s471,s177,s178,s179,s17,s793,s149,s150,s151,s6,s29,s1032,s1102,s1084,s1098,s21,s75,s937,s824,s1101,s1100,s1094,s124,s123,s122,s1069,s91,s89,s1083]) ).

cnf(s1104,plain,
    ( ~ spl0_59
    | spl0_22
    | spl0_23
    | spl0_48
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s1031,s201,s202,s17,s1077,s1065,s53,s1062,s14]) ).

cnf(s1105,plain,
    ( spl0_22
    | spl0_23
    | spl0_37
    | spl0_48
    | spl0_31
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s43,s531,s125,s126,s15,s350,s85,s87,s22,s1084,s27,s1012,s93,s95,s67,s68,s70,s1104,s1047,s53,s1062,s14,s46]) ).

cnf(s1106,plain,
    ( ~ spl0_22
    | spl0_37
    | spl0_48
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73
    | spl0_1 ),
    inference(rat,[],[s53,s728,s1065,s177,s178,s23,s1098,s75,s70,s824,s942,s124,s1069,s1090]) ).

cnf(s1107,plain,
    ( spl0_36
    | ~ spl0_23
    | spl0_37
    | ~ spl0_21 ),
    inference(rat,[],[s1075,s27]) ).

cnf(s1108,plain,
    ( ~ spl0_34
    | ~ spl0_23
    | spl0_48
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_21 ),
    inference(rat,[],[s49,s1084,s315]) ).

cnf(s1109,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_39
    | ~ spl0_50
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s1014,s114,s115,s28,s1040,s17,s1065]) ).

cnf(s1110,plain,
    ( spl0_53
    | ~ spl0_63
    | spl0_48
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s650,s177,s178,s52,s53]) ).

cnf(s1111,plain,
    ( ~ spl0_16
    | ~ spl0_36
    | ~ spl0_50 ),
    inference(rat,[],[s1012,s93,s95]) ).

cnf(s1112,plain,
    ( spl0_37
    | ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s170,s326,s7,s58,s151,s1040,s624,s17,s1065,s1109,s67,s1111,s1110,s1108,s1107,s1105,s46,s1106,s1090,s124,s1069,s91,s90,s89,s1083,s1103]) ).

cnf(s1113,plain,
    ( spl0_36
    | spl0_27
    | ~ spl0_57
    | ~ spl0_37
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s531,s125,s126,s15,s1079,s43]) ).

cnf(s1114,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_37
    | spl0_48
    | spl0_31
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s997,s138,s139,s13,s1111,s1113,s1047,s53,s70,s1062,s1104,s14,s46]) ).

cnf(s1115,plain,
    ( spl0_23
    | ~ spl0_37
    | spl0_48
    | spl0_31
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73
    | spl0_49
    | ~ spl0_21 ),
    inference(rat,[],[s64,s332,s711,s169,s170,s173,s175,s19,s16,s1084,s1078,s21,s70,s824,s942,s1114]) ).

cnf(s1116,plain,
    ( ~ spl0_62
    | ~ spl0_59
    | ~ spl0_37
    | spl0_48
    | spl0_31
    | ~ spl0_21 ),
    inference(rat,[],[s931,s838,s185,s186,s187,s29,s53,s471,s1065,s177,s178,s179,s17,s793,s149,s150,s151,s6,s1098,s1032]) ).

cnf(s1117,plain,
    ( spl0_62
    | ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s972,s1071,s75,s124,s1069,s135,s133]) ).

cnf(s1118,plain,
    ( ~ spl0_3
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s822,s189,s190,s191,s9,s942,s43,s674,s70,s1116,s1098,s1117,s161,s163,s18,s1108,s1115,s45,s1032,s1112,s1103,s1083,s89,s90,s91,s124,s1069]) ).

cnf(s1119,plain,
    ( spl0_22
    | spl0_23
    | spl0_31
    | ~ spl0_63
    | ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s37,s1091,s1059,s72,s14,s1088,s124,s1069]) ).

cnf(s1120,plain,
    ( spl0_23
    | spl0_31
    | spl0_37
    | ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s874,s178,s179,s72,s23,s1099,s1098,s75,s823,s1119,s124,s123,s122,s1069,s1090]) ).

cnf(s1121,plain,
    ( spl0_22
    | ~ spl0_23
    | spl0_31
    | ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s1095,s1071,s3,s1099,s1097,s1101,s46,s124,s1069,s1118]) ).

cnf(s1122,plain,
    ( spl0_31
    | spl0_37
    | ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s1102,s1084,s1099,s21,s75,s937,s823,s1121,s1120,s124,s123,s122,s1069]) ).

cnf(s1123,plain,
    ( ~ spl0_31
    | ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s1076,s1073,s822,s189,s190,s191,s1050,s823,s20,s71,s1044,s124,s123,s122,s1069,s1118]) ).

cnf(s1124,plain,
    ( ~ spl0_48
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s43,s336,s1095,s181,s183,s69,s657,s471,s177,s178,s179,s17,s793,s149,s150,s151,s29,s6,s1099,s1098,s1117,s45,s1032,s1122,s1123,s124,s1069]) ).

cnf(s1125,plain,
    ( spl0_22
    | spl0_31
    | spl0_37
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s45,s1117,s119,s1098,s621,s23,s17,s1109,s1065,s67,s1111,s1107,s1105,s46,s1110,s1124,s1090,s124,s1069]) ).

cnf(s1126,plain,
    ( spl0_31
    | spl0_37
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s955,s93,s95,s67,s70,s1065,s27,s23,s1084,s1098,s21,s75,s823,s1125,s1110,s124,s123,s122,s1069,s1124,s1090]) ).

cnf(s1127,plain,
    ( spl0_37
    | spl0_49
    | spl0_1 ),
    inference(rat,[],[s822,s189,s190,s191,s1107,s1050,s1077,s823,s20,s71,s1044,s1126,s124,s123,s122,s1069,s1118,s1124]) ).

cnf(s1128,plain,
    ( spl0_31
    | ~ spl0_62
    | spl0_104
    | ~ spl0_106
    | ~ spl0_37
    | spl0_48
    | ~ spl0_21 ),
    inference(rat,[],[s958,s154,s155,s58,s983,s43,s674,s161,s163,s18,s946,s68,s70,s1116,s151,s150,s149,s6,s1098,s1032]) ).

cnf(s1129,plain,
    ( spl0_49
    | spl0_1 ),
    inference(rat,[],[s1080,s38,s53,s931,s838,s185,s186,s187,s1076,s822,s189,s190,s191,s1050,s823,s20,s71,s928,s1044,s1128,s149,s150,s151,s6,s1098,s1117,s133,s135,s45,s1032,s1127,s1124,s1118,s124,s123,s122,s1069]) ).

cnf(s1130,plain,
    ( spl0_31
    | spl0_37
    | ~ spl0_48
    | spl0_1 ),
    inference(rat,[],[s1084,s1102,s21,s869,s72,s874,s178,s179,s23,s1098,s1090,s1099,s75,s816,s1129,s121,s122,s123,s124,s1069]) ).

cnf(s1131,plain,
    ( ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s20,s1057,s1044,s124,s816,s1129,s121,s122,s123,s1069]) ).

cnf(s1132,plain,
    ( ~ spl0_48
    | spl0_1 ),
    inference(rat,[],[s471,s177,s178,s179,s29,s17,s1032,s795,s1130,s1099,s60,s167,s165,s68,s958,s154,s75,s155,s58,s1084,s21,s816,s123,s670,s1129,s121,s122,s124,s1069,s1131]) ).

cnf(s1133,plain,
    spl0_1,
    inference(rat,[],[s1110,s1066,s1090,s1116,s1132,s68,s958,s154,s155,s58,s1084,s21,s1131,s75,s816,s670,s1129,s121,s122,s123,s124,s1069]) ).

cnf(s1134,plain,
    spl0_21,
    inference(rat,[],[s200,s1133]) ).

cnf(s1135,plain,
    ~ spl0_154,
    inference(rat,[],[s199,s1133]) ).

cnf(s1136,plain,
    ~ spl0_153,
    inference(rat,[],[s198,s1133]) ).

cnf(s1137,plain,
    ~ spl0_152,
    inference(rat,[],[s197,s1133]) ).

cnf(s1140,plain,
    ( spl0_45
    | spl0_59
    | spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s1055,s1095,s1054,s69,s80,s783,s891,s93,s94,s95,s67,s1134,s1136,s1137]) ).

cnf(s1141,plain,
    ( spl0_59
    | spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s657,s177,s178,s23,s1098,s1055,s1095,s25,s1059,s1140,s891,s93,s94,s95,s67,s1134]) ).

cnf(s1142,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s340,s141,s142,s35,s1055,s926,s819,s113,s114,s115,s157,s158,s159,s11,s1084,s59,s1107,s27,s1044,s60,s986,s1141,s783,s1134,s1136,s1137,s1135]) ).

cnf(s1143,plain,
    ( ~ spl0_20
    | ~ spl0_36 ),
    inference(rat,[],[s822,s189,s190,s191]) ).

cnf(s1144,plain,
    ( spl0_37
    | ~ spl0_48 ),
    inference(rat,[],[s279,s177,s178,s80,s23,s1054,s1098,s74,s1143,s1142,s1044,s60,s986,s1141,s783,s1134,s1136,s1135,s1137]) ).

cnf(s1145,plain,
    ( spl0_36
    | spl0_31
    | ~ spl0_48 ),
    inference(rat,[],[s657,s177,s178,s69,s62,s1095,s1079,s43,s714,s1144,s833,s986,s60,s783,s1134,s1135,s1136,s1137]) ).

cnf(s1146,plain,
    ( ~ spl0_10
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(rat,[],[s983,s133,s135]) ).

cnf(s1147,plain,
    ( spl0_31
    | ~ spl0_48 ),
    inference(rat,[],[s818,s193,s194,s195,s5,s21,s1084,s18,s1058,s45,s1146,s1145,s60,s783,s1032,s1144,s1134,s1136,s1137]) ).

cnf(s1148,plain,
    ( ~ spl0_5
    | ~ spl0_48 ),
    inference(rat,[],[s598,s838,s185,s186,s187,s1144]) ).

cnf(s1149,plain,
    ( ~ spl0_30
    | ~ spl0_48 ),
    inference(rat,[],[s672,s89,s90,s91,s20,s818,s193,s194,s195,s76,s1055,s1095,s1053,s69,s80,s657,s177,s178,s783,s71,s334,s29,s1148,s1032,s1144,s1044,s1147,s1134,s1136,s1137]) ).

cnf(s1150,plain,
    ~ spl0_48,
    inference(rat,[],[s336,s181,s183,s69,s1081,s6,s1098,s74,s1143,s1079,s62,s1149,s334,s29,s1148,s1044,s1147,s714,s1032,s1144,s833,s1134,s1137,s1136]) ).

cnf(s1151,plain,
    ( spl0_36
    | spl0_49
    | spl0_31
    | spl0_37 ),
    inference(rat,[],[s823,s21,s1105,s1084,s1107,s27,s123,s122,s47,s1134,s1150]) ).

cnf(s1152,plain,
    ( ~ spl0_46
    | ~ spl0_36
    | spl0_37 ),
    inference(rat,[],[s1002,s181,s182,s183,s25,s1062,s1134]) ).

cnf(s1153,plain,
    ( spl0_49
    | spl0_31
    | spl0_37 ),
    inference(rat,[],[s46,s955,s1111,s93,s95,s67,s70,s1003,s53,s1152,s1151,s1135,s1137,s1150,s1134]) ).

cnf(s1154,plain,
    ( ~ spl0_3
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(rat,[],[s429,s89,s91]) ).

cnf(s1155,plain,
    ( ~ spl0_59
    | ~ spl0_35
    | spl0_23
    | spl0_31 ),
    inference(rat,[],[s400,s173,s175,s55,s1154,s60,s1104,s986,s1134,s1150,s1136,s1135]) ).

cnf(s1156,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | ~ spl0_35 ),
    inference(rat,[],[s823,s122,s123]) ).

cnf(s1158,plain,
    ( ~ spl0_10
    | ~ spl0_55
    | ~ spl0_49 ),
    inference(rat,[],[s472,s134,s135]) ).

cnf(s1159,plain,
    ( spl0_36
    | spl0_31
    | spl0_37 ),
    inference(rat,[],[s944,s146,s147,s24,s1158,s14,s1062,s60,s53,s400,s725,s173,s174,s175,s16,s63,s350,s68,s70,s1155,s85,s87,s22,s21,s1084,s1107,s27,s1153,s1134,s1150]) ).

cnf(s1160,plain,
    ( spl0_31
    | spl0_37 ),
    inference(rat,[],[s431,s106,s107,s9,s955,s93,s95,s67,s70,s1066,s53,s1152,s1143,s1159,s1153,s1150,s1134]) ).

cnf(s1161,plain,
    ( spl0_36
    | spl0_37 ),
    inference(rat,[],[s1055,s872,s1054,s137,s138,s80,s54,s1158,s884,s1007,s59,s129,s130,s131,s1047,s38,s53,s627,s1062,s71,s70,s154,s155,s14,s1077,s36,s799,s926,s85,s86,s113,s114,s115,s22,s11,s1084,s1107,s27,s1044,s1160,s1134,s1150]) ).

cnf(s1162,plain,
    spl0_37,
    inference(rat,[],[s955,s93,s95,s67,s70,s1003,s53,s1050,s1152,s1143,s1161,s1044,s1160,s1134,s1150,s1137,s1135]) ).

cnf(s1163,plain,
    ~ spl0_14,
    inference(rat,[],[s1032,s1162]) ).

cnf(s1164,plain,
    spl0_2,
    inference(rat,[],[s44,s1134,s1150,s1163]) ).

cnf(s1165,plain,
    spl0_97,
    inference(rat,[],[s123,s1164]) ).

cnf(s1166,plain,
    spl0_96,
    inference(rat,[],[s122,s1164]) ).

cnf(s1167,plain,
    ~ spl0_95,
    inference(rat,[],[s121,s1164]) ).

cnf(s1168,plain,
    ~ spl0_59,
    inference(rat,[],[s931,s838,s185,s186,s187,s53,s29,s1003,s334,s1162,s1134,s1150,s1163,s1137,s1135,s1136]) ).

cnf(s1169,plain,
    spl0_57,
    inference(rat,[],[s70,s1150,s1134,s1168]) ).

cnf(s1170,plain,
    ( ~ spl0_33
    | ~ spl0_47 ),
    inference(rat,[],[s674,s161,s163,s1169]) ).

cnf(s1171,plain,
    ( spl0_36
    | spl0_31 ),
    inference(rat,[],[s1156,s21,s14,s1084,s1075,s18,s1170,s1062,s53,s1047,s1113,s43,s1162,s1169,s1150,s1163,s1134,s1164]) ).

cnf(s1173,plain,
    ~ spl0_4,
    inference(rat,[],[s963,s125,s126,s127,s1169]) ).

cnf(s1174,plain,
    ( ~ spl0_12
    | spl0_31 ),
    inference(rat,[],[s430,s193,s195,s76,s972,s60,s21,s1146,s133,s135,s1078,s45,s15,s431,s1047,s53,s1002,s181,s182,s183,s69,s628,s1098,s105,s106,s107,s1171,s1134,s1162,s1163,s1173,s1150,s1168,s1169]) ).

cnf(s1175,plain,
    spl0_31,
    inference(rat,[],[s1002,s181,s182,s183,s69,s627,s53,s154,s155,s1047,s58,s15,s946,s353,s984,s149,s150,s151,s937,s6,s9,s1174,s1143,s1171,s68,s1134,s1168,s1169,s1150,s1173,s1166,s1165,s1163]) ).

cnf(s1176,plain,
    ~ spl0_24,
    inference(rat,[],[s1044,s1175]) ).

cnf(s1177,plain,
    spl0_49,
    inference(rat,[],[s71,s1168,s1134,s1176]) ).

cnf(s1180,plain,
    ~ spl0_35,
    inference(rat,[],[s816,s1165,s1166,s1167,s1177]) ).

cnf(s1182,plain,
    spl0_3,
    inference(rat,[],[s20,s1134,s1176,s1180]) ).

cnf(s1186,plain,
    spl0_73,
    inference(rat,[],[s91,s1182]) ).

cnf(s1187,plain,
    spl0_72,
    inference(rat,[],[s90,s1182]) ).

cnf(s1188,plain,
    spl0_71,
    inference(rat,[],[s89,s1182]) ).

cnf(s1189,plain,
    ~ spl0_22,
    inference(rat,[],[s800,s1186,s1175,s1187]) ).

cnf(s1190,plain,
    ~ spl0_23,
    inference(rat,[],[s672,s1186,s1187,s1177,s1188]) ).

cnf(s1191,plain,
    spl0_20,
    inference(rat,[],[s1050,s1134,s1176,s1189]) ).

cnf(s1193,plain,
    spl0_47,
    inference(rat,[],[s42,s1180,s1134,s1190]) ).

cnf(s1195,plain,
    spl0_148,
    inference(rat,[],[s191,s1191]) ).

cnf(s1196,plain,
    spl0_147,
    inference(rat,[],[s190,s1191]) ).

cnf(s1197,plain,
    ~ spl0_146,
    inference(rat,[],[s189,s1191]) ).

cnf(s1207,plain,
    $false,
    inference(rat,[],[s871,s1195,s1169,s1193,s1162,s1197,s1196]) ).

fof(f4176,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1207]) ).

%------------------------------------------------------------------------------
%----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 SAT
% 0.08/0.18  % Computer : n026.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 16:19:57 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.29  % (3987993)Will run a generic schedule for satisfiability detection.
% 0.18/0.29  % (3988003)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1510210430:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29  % (3987999)% WARNING: option uhcvi not known.
% 0.18/0.29  % (3987998)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1607807103_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29  % (3988002)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2977884812:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29  % (3987999)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2649319503:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29  % (3988000)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2283731174:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29  % (3988001)dis+10_1_sil=32000:sp=arity:random_seed=611582089:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29  % (3988004)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1124079710:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29  % Detected minimum model sizes of [1]
% 0.18/0.29  % Detected maximum model sizes of [31]
% 0.18/0.29  % TRYING [1]
% 0.18/0.29  % TRYING [2]
% 0.18/0.29  % TRYING [3]
% 0.18/0.29  % TRYING [4]
% 0.18/0.29  % (3988003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3987993-3988003"...
% 0.18/0.29  % (3988004) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3987993-3988004"...
% 0.18/0.29  % (3988003)...printing done.
% 0.18/0.29  % (3988003)Refutation found. Thanks to Tanya!
% 0.18/0.29  % SZS status Theorem for theBenchmark
% 0.18/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.31  % (3988003)------------------------------
% 0.18/0.31  % (3988003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31  % (3988003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31  % (3988003)CaDiCaL version: 2.1.3
% 0.18/0.31  % (3988003)Termination reason: Refutation
% 0.18/0.31  % (3988003)Time elapsed: 0.039 s
% 0.18/0.31  % (3988003)Peak memory usage: 14 MB
% 0.18/0.31  % (3988003)Instructions burned: 111 (million)
% 0.18/0.31  % (3987993)Success in time 0.074 s
% 0.18/0.31  % Vampire exiting
%------------------------------------------------------------------------------