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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN500+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:58:24 PM UTC 2026

% Result   : Theorem 3.18s 1.10s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1)
          & c3_1(a1)
          & ~ c2_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a2)
          & ~ c1_1(a2)
          & ~ c2_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a3)
          & ~ c1_1(a3)
          & ~ c2_1(a3) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a5)
          & ~ c0_1(a5)
          & ~ c1_1(a5) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a7)
          & ~ c1_1(a7)
          & ~ c3_1(a7) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a8)
          & ~ c2_1(a8)
          & ~ c3_1(a8) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a10)
          & c3_1(a10)
          & ~ c2_1(a10) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a11)
          & ~ c0_1(a11)
          & ~ c2_1(a11) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a14)
          & ~ c0_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a15)
          & ~ c1_1(a15)
          & ~ c2_1(a15) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c1_1(a18)
          & ~ c2_1(a18)
          & ~ c3_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a19)
          & c2_1(a19)
          & ~ c0_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a20)
          & ~ c2_1(a20)
          & ~ c3_1(a20) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a22)
          & ~ c0_1(a22)
          & ~ c1_1(a22) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a25)
          & c1_1(a25)
          & ~ c2_1(a25) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a28)
          & c3_1(a28)
          & ~ c1_1(a28) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a32)
          & c2_1(a32)
          & ~ c1_1(a32) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a33)
          & ~ c1_1(a33)
          & ~ c3_1(a33) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a39)
          & c3_1(a39)
          & ~ c1_1(a39) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a40)
          & ~ c0_1(a40)
          & ~ c3_1(a40) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a43)
          & c1_1(a43)
          & ~ c3_1(a43) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a47)
          & c3_1(a47)
          & ~ c0_1(a47) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a48)
          & ~ c0_1(a48)
          & ~ c3_1(a48) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a63)
          & ~ c1_1(a63)
          & ~ c3_1(a63) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a64)
          & c3_1(a64)
          & ~ c0_1(a64) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a73)
          & c2_1(a73)
          & ~ c3_1(a73) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a4)
          & c1_1(a4)
          & c3_1(a4) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a13)
          & c2_1(a13)
          & c3_1(a13) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a23)
          & c1_1(a23)
          & c2_1(a23) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a77)
          & c2_1(a77)
          & c3_1(a77) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c1_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c0_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c0_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c1_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c3_1(X13)
              | ~ c1_1(X13) ) )
        | hskp0 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c0_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | ~ c1_1(X18)
              | ~ c2_1(X18) ) )
        | hskp1 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) )
        | hskp2 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | c3_1(X21) ) )
        | hskp26
        | hskp3 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | hskp0
        | hskp4 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c1_1(X30)
              | ~ c2_1(X30) ) )
        | hskp5 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c1_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | c3_1(X39)
              | ~ c0_1(X39) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c1_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp2 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c1_1(X42)
              | ~ c3_1(X42) ) )
        | hskp6
        | hskp7 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | c3_1(X46) ) )
        | hskp1
        | hskp27 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | c3_1(X47) ) )
        | hskp8
        | hskp9 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | hskp4 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c1_1(X50) ) )
        | hskp1
        | hskp10 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c1_1(X51) ) )
        | hskp11
        | hskp12 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c1_1(X52) ) )
        | hskp0
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c2_1(X54)
              | ~ c3_1(X54) ) )
        | hskp28 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c2_1(X55)
              | ~ c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c0_1(X56)
              | ~ c1_1(X56) ) )
        | hskp3 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c3_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp14 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c3_1(X62)
              | ~ c1_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp13 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp28 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | c3_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c1_1(X68)
              | ~ c2_1(X68) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | c3_1(X69)
              | ~ c2_1(X69) ) )
        | hskp15
        | hskp13 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp3 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) )
        | hskp26
        | hskp16 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp17
        | hskp5 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c1_1(X74)
              | ~ c2_1(X74) ) )
        | hskp13
        | hskp10 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c0_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp12 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c0_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c1_1(X79)
              | ~ c2_1(X79) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c0_1(X80)
              | ~ c1_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp15 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | hskp18 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp19 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp3
        | hskp2 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | hskp20 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c2_1(X89)
              | c3_1(X89) ) )
        | hskp11
        | hskp12 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c0_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c2_1(X95)
              | ~ c3_1(X95) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c2_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | hskp8 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c2_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | c2_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | ~ c2_1(X102) ) )
        | hskp21 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | c3_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp22 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | hskp1
        | hskp17 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp11
        | hskp9 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | c3_1(X107)
              | ~ c2_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( c1_1(X108)
              | ~ c0_1(X108)
              | ~ c3_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( c1_1(X110)
              | c3_1(X110)
              | ~ c2_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | c3_1(X111)
              | ~ c0_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) ) )
      & ( ! [X113] :
            ( ndr1_0
           => ( c1_1(X113)
              | c3_1(X113)
              | ~ c2_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | c3_1(X114)
              | ~ c1_1(X114) ) )
        | hskp1 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c1_1(X115)
              | c3_1(X115)
              | ~ c2_1(X115) ) )
        | ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c3_1(X116) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) ) )
      & ( ! [X118] :
            ( ndr1_0
           => ( c1_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) )
        | ! [X119] :
            ( ndr1_0
           => ( c1_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | ! [X120] :
            ( ndr1_0
           => ( c2_1(X120)
              | ~ c0_1(X120)
              | ~ c1_1(X120) ) ) )
      & ( ! [X121] :
            ( ndr1_0
           => ( c1_1(X121)
              | ~ c0_1(X121)
              | ~ c2_1(X121) ) )
        | ! [X122] :
            ( ndr1_0
           => ( c1_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c2_1(X123) ) ) )
      & ( ! [X124] :
            ( ndr1_0
           => ( c1_1(X124)
              | ~ c0_1(X124)
              | ~ c2_1(X124) ) )
        | ! [X125] :
            ( ndr1_0
           => ( c3_1(X125)
              | ~ c0_1(X125)
              | ~ c1_1(X125) ) )
        | hskp12 )
      & ( ! [X126] :
            ( ndr1_0
           => ( c1_1(X126)
              | ~ c0_1(X126)
              | ~ c2_1(X126) ) )
        | hskp18
        | hskp19 )
      & ( ! [X127] :
            ( ndr1_0
           => ( c1_1(X127)
              | ~ c0_1(X127)
              | ~ c2_1(X127) ) )
        | hskp11
        | hskp21 )
      & ( ! [X128] :
            ( ndr1_0
           => ( c1_1(X128)
              | ~ c2_1(X128)
              | ~ c3_1(X128) ) )
        | ! [X129] :
            ( ndr1_0
           => ( c3_1(X129)
              | ~ c0_1(X129)
              | ~ c2_1(X129) ) )
        | hskp8 )
      & ( ! [X130] :
            ( ndr1_0
           => ( c2_1(X130)
              | c3_1(X130)
              | ~ c0_1(X130) ) )
        | ! [X131] :
            ( ndr1_0
           => ( c3_1(X131)
              | ~ c1_1(X131)
              | ~ c2_1(X131) ) )
        | hskp20 )
      & ( ! [X132] :
            ( ndr1_0
           => ( c2_1(X132)
              | c3_1(X132)
              | ~ c0_1(X132) ) )
        | ! [X133] :
            ( ndr1_0
           => ( ~ c0_1(X133)
              | ~ c1_1(X133)
              | ~ c3_1(X133) ) )
        | hskp13 )
      & ( ! [X134] :
            ( ndr1_0
           => ( c2_1(X134)
              | c3_1(X134)
              | ~ c0_1(X134) ) )
        | hskp26
        | hskp23 )
      & ( ! [X135] :
            ( ndr1_0
           => ( c2_1(X135)
              | c3_1(X135)
              | ~ c0_1(X135) ) )
        | hskp24
        | hskp22 )
      & ( ! [X136] :
            ( ndr1_0
           => ( c2_1(X136)
              | c3_1(X136)
              | ~ c1_1(X136) ) )
        | hskp19 )
      & ( ! [X137] :
            ( ndr1_0
           => ( c2_1(X137)
              | ~ c0_1(X137)
              | ~ c1_1(X137) ) )
        | hskp20
        | hskp6 )
      & ( ! [X138] :
            ( ndr1_0
           => ( c3_1(X138)
              | ~ c0_1(X138)
              | ~ c2_1(X138) ) )
        | hskp28
        | hskp18 )
      & ( ! [X139] :
            ( ndr1_0
           => ( c3_1(X139)
              | ~ c1_1(X139)
              | ~ c2_1(X139) ) )
        | hskp6
        | hskp2 )
      & ( ! [X140] :
            ( ndr1_0
           => ( ~ c0_1(X140)
              | ~ c1_1(X140)
              | ~ c3_1(X140) ) )
        | hskp25 )
      & ( hskp14
        | hskp20
        | hskp12 )
      & ( hskp29
        | hskp24
        | hskp19 )
      & ( hskp25
        | hskp22
        | hskp9 )
      & ( hskp1
        | hskp27
        | hskp4 )
      & ( hskp17
        | hskp22
        | hskp19 )
      & ( hskp27
        | hskp9 )
      & ( hskp11
        | hskp0
        | hskp22 )
      & ( hskp11
        | hskp21
        | hskp12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1)
            & c3_1(a1)
            & ~ c2_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a2)
            & ~ c1_1(a2)
            & ~ c2_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a3)
            & ~ c1_1(a3)
            & ~ c2_1(a3) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a5)
            & ~ c0_1(a5)
            & ~ c1_1(a5) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a7)
            & ~ c1_1(a7)
            & ~ c3_1(a7) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a8)
            & ~ c2_1(a8)
            & ~ c3_1(a8) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a10)
            & c3_1(a10)
            & ~ c2_1(a10) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a11)
            & ~ c0_1(a11)
            & ~ c2_1(a11) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a14)
            & ~ c0_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a15)
            & ~ c1_1(a15)
            & ~ c2_1(a15) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a18)
            & ~ c2_1(a18)
            & ~ c3_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a19)
            & c2_1(a19)
            & ~ c0_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a20)
            & ~ c2_1(a20)
            & ~ c3_1(a20) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a22)
            & ~ c0_1(a22)
            & ~ c1_1(a22) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a25)
            & c1_1(a25)
            & ~ c2_1(a25) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a28)
            & c3_1(a28)
            & ~ c1_1(a28) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a32)
            & c2_1(a32)
            & ~ c1_1(a32) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a33)
            & ~ c1_1(a33)
            & ~ c3_1(a33) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a39)
            & c3_1(a39)
            & ~ c1_1(a39) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a40)
            & ~ c0_1(a40)
            & ~ c3_1(a40) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a43)
            & c1_1(a43)
            & ~ c3_1(a43) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a47)
            & c3_1(a47)
            & ~ c0_1(a47) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a48)
            & ~ c0_1(a48)
            & ~ c3_1(a48) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a63)
            & ~ c1_1(a63)
            & ~ c3_1(a63) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a64)
            & c3_1(a64)
            & ~ c0_1(a64) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a73)
            & c2_1(a73)
            & ~ c3_1(a73) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a4)
            & c1_1(a4)
            & c3_1(a4) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a13)
            & c2_1(a13)
            & c3_1(a13) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a23)
            & c1_1(a23)
            & c2_1(a23) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a77)
            & c2_1(a77)
            & c3_1(a77) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c1_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c0_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | hskp0 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c0_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c2_1(X18) ) )
          | hskp1 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) )
          | hskp2 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) )
          | hskp26
          | hskp3 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp0
          | hskp4 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) )
          | hskp5 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c1_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c3_1(X39)
                | ~ c0_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c1_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp2 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c1_1(X42)
                | ~ c3_1(X42) ) )
          | hskp6
          | hskp7 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | c3_1(X46) ) )
          | hskp1
          | hskp27 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | c3_1(X47) ) )
          | hskp8
          | hskp9 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | hskp4 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) )
          | hskp1
          | hskp10 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c1_1(X51) ) )
          | hskp11
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c1_1(X52) ) )
          | hskp0
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | ~ c3_1(X54) ) )
          | hskp28 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c2_1(X55)
                | ~ c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c0_1(X56)
                | ~ c1_1(X56) ) )
          | hskp3 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c3_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp14 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp13 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp28 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c1_1(X68)
                | ~ c2_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | c3_1(X69)
                | ~ c2_1(X69) ) )
          | hskp15
          | hskp13 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp3 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) )
          | hskp26
          | hskp16 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp17
          | hskp5 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c1_1(X74)
                | ~ c2_1(X74) ) )
          | hskp13
          | hskp10 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c0_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp12 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c1_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp15 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp18 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp19 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp3
          | hskp2 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp20 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c2_1(X89)
                | c3_1(X89) ) )
          | hskp11
          | hskp12 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c2_1(X95)
                | ~ c3_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | hskp8 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c2_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | c2_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | ~ c2_1(X102) ) )
          | hskp21 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | c3_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp22 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | hskp1
          | hskp17 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp11
          | hskp9 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | c3_1(X107)
                | ~ c2_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c1_1(X108)
                | ~ c0_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( c1_1(X110)
                | c3_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c3_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) ) )
        & ( ! [X113] :
              ( ndr1_0
             => ( c1_1(X113)
                | c3_1(X113)
                | ~ c2_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c3_1(X114)
                | ~ c1_1(X114) ) )
          | hskp1 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c1_1(X115)
                | c3_1(X115)
                | ~ c2_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c3_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( c1_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( c1_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | ~ c0_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( ! [X121] :
              ( ndr1_0
             => ( c1_1(X121)
                | ~ c0_1(X121)
                | ~ c2_1(X121) ) )
          | ! [X122] :
              ( ndr1_0
             => ( c1_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c2_1(X123) ) ) )
        & ( ! [X124] :
              ( ndr1_0
             => ( c1_1(X124)
                | ~ c0_1(X124)
                | ~ c2_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c3_1(X125)
                | ~ c0_1(X125)
                | ~ c1_1(X125) ) )
          | hskp12 )
        & ( ! [X126] :
              ( ndr1_0
             => ( c1_1(X126)
                | ~ c0_1(X126)
                | ~ c2_1(X126) ) )
          | hskp18
          | hskp19 )
        & ( ! [X127] :
              ( ndr1_0
             => ( c1_1(X127)
                | ~ c0_1(X127)
                | ~ c2_1(X127) ) )
          | hskp11
          | hskp21 )
        & ( ! [X128] :
              ( ndr1_0
             => ( c1_1(X128)
                | ~ c2_1(X128)
                | ~ c3_1(X128) ) )
          | ! [X129] :
              ( ndr1_0
             => ( c3_1(X129)
                | ~ c0_1(X129)
                | ~ c2_1(X129) ) )
          | hskp8 )
        & ( ! [X130] :
              ( ndr1_0
             => ( c2_1(X130)
                | c3_1(X130)
                | ~ c0_1(X130) ) )
          | ! [X131] :
              ( ndr1_0
             => ( c3_1(X131)
                | ~ c1_1(X131)
                | ~ c2_1(X131) ) )
          | hskp20 )
        & ( ! [X132] :
              ( ndr1_0
             => ( c2_1(X132)
                | c3_1(X132)
                | ~ c0_1(X132) ) )
          | ! [X133] :
              ( ndr1_0
             => ( ~ c0_1(X133)
                | ~ c1_1(X133)
                | ~ c3_1(X133) ) )
          | hskp13 )
        & ( ! [X134] :
              ( ndr1_0
             => ( c2_1(X134)
                | c3_1(X134)
                | ~ c0_1(X134) ) )
          | hskp26
          | hskp23 )
        & ( ! [X135] :
              ( ndr1_0
             => ( c2_1(X135)
                | c3_1(X135)
                | ~ c0_1(X135) ) )
          | hskp24
          | hskp22 )
        & ( ! [X136] :
              ( ndr1_0
             => ( c2_1(X136)
                | c3_1(X136)
                | ~ c1_1(X136) ) )
          | hskp19 )
        & ( ! [X137] :
              ( ndr1_0
             => ( c2_1(X137)
                | ~ c0_1(X137)
                | ~ c1_1(X137) ) )
          | hskp20
          | hskp6 )
        & ( ! [X138] :
              ( ndr1_0
             => ( c3_1(X138)
                | ~ c0_1(X138)
                | ~ c2_1(X138) ) )
          | hskp28
          | hskp18 )
        & ( ! [X139] :
              ( ndr1_0
             => ( c3_1(X139)
                | ~ c1_1(X139)
                | ~ c2_1(X139) ) )
          | hskp6
          | hskp2 )
        & ( ! [X140] :
              ( ndr1_0
             => ( ~ c0_1(X140)
                | ~ c1_1(X140)
                | ~ c3_1(X140) ) )
          | hskp25 )
        & ( hskp14
          | hskp20
          | hskp12 )
        & ( hskp29
          | hskp24
          | hskp19 )
        & ( hskp25
          | hskp22
          | hskp9 )
        & ( hskp1
          | hskp27
          | hskp4 )
        & ( hskp17
          | hskp22
          | hskp19 )
        & ( hskp27
          | hskp9 )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp11
          | hskp21
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c3_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2)
        & ~ c1_1(a2)
        & ~ c2_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a3)
        & ~ c1_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a5)
        & ~ c0_1(a5)
        & ~ c1_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a7)
        & ~ c1_1(a7)
        & ~ c3_1(a7) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a8)
        & ~ c2_1(a8)
        & ~ c3_1(a8) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a10)
        & c3_1(a10)
        & ~ c2_1(a10) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a11)
        & ~ c0_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & ~ c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a20)
        & ~ c2_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a22)
        & ~ c0_1(a22)
        & ~ c1_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c2_1(a25) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a28)
        & c3_1(a28)
        & ~ c1_1(a28) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a32)
        & c2_1(a32)
        & ~ c1_1(a32) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a33)
        & ~ c1_1(a33)
        & ~ c3_1(a33) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a39)
        & c3_1(a39)
        & ~ c1_1(a39) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a40)
        & ~ c0_1(a40)
        & ~ c3_1(a40) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a43)
        & c1_1(a43)
        & ~ c3_1(a43) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a47)
        & c3_1(a47)
        & ~ c0_1(a47) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a48)
        & ~ c0_1(a48)
        & ~ c3_1(a48) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a63)
        & ~ c1_1(a63)
        & ~ c3_1(a63) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a64)
        & c3_1(a64)
        & ~ c0_1(a64) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a73)
        & c2_1(a73)
        & ~ c3_1(a73) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a4)
        & c1_1(a4)
        & c3_1(a4) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a13)
        & c2_1(a13)
        & c3_1(a13) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a23)
        & c1_1(a23)
        & c2_1(a23) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a77)
        & c2_1(a77)
        & c3_1(a77) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | ~ c1_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c2_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | ~ c0_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c1_1(X8)
            | ~ c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c2_1(X11)
            | ~ c3_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c3_1(X13)
            | ~ c1_1(X13) ) )
      | hskp0 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c0_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | ~ c1_1(X18)
            | ~ c2_1(X18) ) )
      | hskp1 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | ~ c1_1(X20)
            | ~ c3_1(X20) ) )
      | hskp2 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | c3_1(X21) ) )
      | hskp26
      | hskp3 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | hskp0
      | hskp4 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c1_1(X30)
            | ~ c2_1(X30) ) )
      | hskp5 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c1_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c1_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | c3_1(X39)
            | ~ c0_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c1_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp2 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c1_1(X42)
            | ~ c3_1(X42) ) )
      | hskp6
      | hskp7 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | c3_1(X46) ) )
      | hskp1
      | hskp27 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | c3_1(X47) ) )
      | hskp8
      | hskp9 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | hskp4 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c1_1(X50) ) )
      | hskp1
      | hskp10 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c1_1(X51) ) )
      | hskp11
      | hskp12 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c1_1(X52) ) )
      | hskp0
      | hskp13 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c2_1(X54)
            | ~ c3_1(X54) ) )
      | hskp28 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c2_1(X55)
            | ~ c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c0_1(X56)
            | ~ c1_1(X56) ) )
      | hskp3 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | ~ c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c3_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp14 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c3_1(X62)
            | ~ c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | hskp13 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp28 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | c3_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c1_1(X68)
            | ~ c2_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | c3_1(X69)
            | ~ c2_1(X69) ) )
      | hskp15
      | hskp13 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp3 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) )
      | hskp26
      | hskp16 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) )
      | hskp17
      | hskp5 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c1_1(X74)
            | ~ c2_1(X74) ) )
      | hskp13
      | hskp10 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c0_1(X75)
            | ~ c1_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp12 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c0_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c1_1(X79)
            | ~ c2_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | ~ c1_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp15 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | ~ c1_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | ~ c0_1(X83)
            | ~ c1_1(X83) ) )
      | hskp18 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c0_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp19 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c0_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp3
      | hskp2 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | hskp20 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c2_1(X89)
            | c3_1(X89) ) )
      | hskp11
      | hskp12 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c2_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c0_1(X94)
            | ~ c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c2_1(X95)
            | ~ c3_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c2_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | hskp8 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c2_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | c2_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c1_1(X102)
            | ~ c2_1(X102) ) )
      | hskp21 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | c3_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp22 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | c3_1(X105)
            | ~ c0_1(X105) ) )
      | hskp1
      | hskp17 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | c3_1(X106)
            | ~ c0_1(X106) ) )
      | hskp11
      | hskp9 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | c3_1(X107)
            | ~ c2_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c1_1(X108)
            | ~ c0_1(X108)
            | ~ c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( c1_1(X110)
            | c3_1(X110)
            | ~ c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | c3_1(X111)
            | ~ c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) ) )
    & ( ! [X113] :
          ( ndr1_0
         => ( c1_1(X113)
            | c3_1(X113)
            | ~ c2_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c3_1(X114)
            | ~ c1_1(X114) ) )
      | hskp1 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c1_1(X115)
            | c3_1(X115)
            | ~ c2_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c0_1(X116)
            | ~ c3_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c0_1(X117)
            | ~ c1_1(X117)
            | ~ c3_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( c1_1(X118)
            | ~ c0_1(X118)
            | ~ c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( c1_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | ~ c0_1(X120)
            | ~ c1_1(X120) ) ) )
    & ( ! [X121] :
          ( ndr1_0
         => ( c1_1(X121)
            | ~ c0_1(X121)
            | ~ c2_1(X121) ) )
      | ! [X122] :
          ( ndr1_0
         => ( c1_1(X122)
            | ~ c2_1(X122)
            | ~ c3_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c0_1(X123)
            | ~ c1_1(X123)
            | ~ c2_1(X123) ) ) )
    & ( ! [X124] :
          ( ndr1_0
         => ( c1_1(X124)
            | ~ c0_1(X124)
            | ~ c2_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c3_1(X125)
            | ~ c0_1(X125)
            | ~ c1_1(X125) ) )
      | hskp12 )
    & ( ! [X126] :
          ( ndr1_0
         => ( c1_1(X126)
            | ~ c0_1(X126)
            | ~ c2_1(X126) ) )
      | hskp18
      | hskp19 )
    & ( ! [X127] :
          ( ndr1_0
         => ( c1_1(X127)
            | ~ c0_1(X127)
            | ~ c2_1(X127) ) )
      | hskp11
      | hskp21 )
    & ( ! [X128] :
          ( ndr1_0
         => ( c1_1(X128)
            | ~ c2_1(X128)
            | ~ c3_1(X128) ) )
      | ! [X129] :
          ( ndr1_0
         => ( c3_1(X129)
            | ~ c0_1(X129)
            | ~ c2_1(X129) ) )
      | hskp8 )
    & ( ! [X130] :
          ( ndr1_0
         => ( c2_1(X130)
            | c3_1(X130)
            | ~ c0_1(X130) ) )
      | ! [X131] :
          ( ndr1_0
         => ( c3_1(X131)
            | ~ c1_1(X131)
            | ~ c2_1(X131) ) )
      | hskp20 )
    & ( ! [X132] :
          ( ndr1_0
         => ( c2_1(X132)
            | c3_1(X132)
            | ~ c0_1(X132) ) )
      | ! [X133] :
          ( ndr1_0
         => ( ~ c0_1(X133)
            | ~ c1_1(X133)
            | ~ c3_1(X133) ) )
      | hskp13 )
    & ( ! [X134] :
          ( ndr1_0
         => ( c2_1(X134)
            | c3_1(X134)
            | ~ c0_1(X134) ) )
      | hskp26
      | hskp23 )
    & ( ! [X135] :
          ( ndr1_0
         => ( c2_1(X135)
            | c3_1(X135)
            | ~ c0_1(X135) ) )
      | hskp24
      | hskp22 )
    & ( ! [X136] :
          ( ndr1_0
         => ( c2_1(X136)
            | c3_1(X136)
            | ~ c1_1(X136) ) )
      | hskp19 )
    & ( ! [X137] :
          ( ndr1_0
         => ( c2_1(X137)
            | ~ c0_1(X137)
            | ~ c1_1(X137) ) )
      | hskp20
      | hskp6 )
    & ( ! [X138] :
          ( ndr1_0
         => ( c3_1(X138)
            | ~ c0_1(X138)
            | ~ c2_1(X138) ) )
      | hskp28
      | hskp18 )
    & ( ! [X139] :
          ( ndr1_0
         => ( c3_1(X139)
            | ~ c1_1(X139)
            | ~ c2_1(X139) ) )
      | hskp6
      | hskp2 )
    & ( ! [X140] :
          ( ndr1_0
         => ( ~ c0_1(X140)
            | ~ c1_1(X140)
            | ~ c3_1(X140) ) )
      | hskp25 )
    & ( hskp14
      | hskp20
      | hskp12 )
    & ( hskp29
      | hskp24
      | hskp19 )
    & ( hskp25
      | hskp22
      | hskp9 )
    & ( hskp1
      | hskp27
      | hskp4 )
    & ( hskp17
      | hskp22
      | hskp19 )
    & ( hskp27
      | hskp9 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp11
      | hskp21
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c3_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2)
        & ~ c1_1(a2)
        & ~ c2_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a3)
        & ~ c1_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a5)
        & ~ c0_1(a5)
        & ~ c1_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a7)
        & ~ c1_1(a7)
        & ~ c3_1(a7) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a8)
        & ~ c2_1(a8)
        & ~ c3_1(a8) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a10)
        & c3_1(a10)
        & ~ c2_1(a10) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a11)
        & ~ c0_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & ~ c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a20)
        & ~ c2_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a22)
        & ~ c0_1(a22)
        & ~ c1_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c2_1(a25) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a28)
        & c3_1(a28)
        & ~ c1_1(a28) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a32)
        & c2_1(a32)
        & ~ c1_1(a32) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a33)
        & ~ c1_1(a33)
        & ~ c3_1(a33) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a39)
        & c3_1(a39)
        & ~ c1_1(a39) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a40)
        & ~ c0_1(a40)
        & ~ c3_1(a40) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a43)
        & c1_1(a43)
        & ~ c3_1(a43) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a47)
        & c3_1(a47)
        & ~ c0_1(a47) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a48)
        & ~ c0_1(a48)
        & ~ c3_1(a48) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a63)
        & ~ c1_1(a63)
        & ~ c3_1(a63) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a64)
        & c3_1(a64)
        & ~ c0_1(a64) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a73)
        & c2_1(a73)
        & ~ c3_1(a73) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a4)
        & c1_1(a4)
        & c3_1(a4) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a13)
        & c2_1(a13)
        & c3_1(a13) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a23)
        & c1_1(a23)
        & c2_1(a23) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a77)
        & c2_1(a77)
        & c3_1(a77) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp26
      | hskp3 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | c3_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp27 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp0
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c3_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X66] :
          ( c0_1(X66)
          | c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp17
      | hskp5 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp13
      | hskp10 )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X77] :
          ( c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X86] :
          ( c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X105] :
          ( c1_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X106] :
          ( c1_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X107] :
          ( c1_1(X107)
          | c3_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c1_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c1_1(X110)
          | c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( c1_1(X113)
          | c3_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X115] :
          ( c1_1(X115)
          | c3_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( c1_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( c1_1(X121)
          | ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( c1_1(X124)
          | ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X126] :
          ( c1_1(X126)
          | ~ c0_1(X126)
          | ~ c2_1(X126)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X127] :
          ( c1_1(X127)
          | ~ c0_1(X127)
          | ~ c2_1(X127)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X128] :
          ( c1_1(X128)
          | ~ c2_1(X128)
          | ~ c3_1(X128)
          | ~ ndr1_0 )
      | ! [X129] :
          ( c3_1(X129)
          | ~ c0_1(X129)
          | ~ c2_1(X129)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X130] :
          ( c2_1(X130)
          | c3_1(X130)
          | ~ c0_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c3_1(X131)
          | ~ c1_1(X131)
          | ~ c2_1(X131)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X132] :
          ( c2_1(X132)
          | c3_1(X132)
          | ~ c0_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c0_1(X133)
          | ~ c1_1(X133)
          | ~ c3_1(X133)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X134] :
          ( c2_1(X134)
          | c3_1(X134)
          | ~ c0_1(X134)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X135] :
          ( c2_1(X135)
          | c3_1(X135)
          | ~ c0_1(X135)
          | ~ ndr1_0 )
      | hskp24
      | hskp22 )
    & ( ! [X136] :
          ( c2_1(X136)
          | c3_1(X136)
          | ~ c1_1(X136)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X137] :
          ( c2_1(X137)
          | ~ c0_1(X137)
          | ~ c1_1(X137)
          | ~ ndr1_0 )
      | hskp20
      | hskp6 )
    & ( ! [X138] :
          ( c3_1(X138)
          | ~ c0_1(X138)
          | ~ c2_1(X138)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X139] :
          ( c3_1(X139)
          | ~ c1_1(X139)
          | ~ c2_1(X139)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X140] :
          ( ~ c0_1(X140)
          | ~ c1_1(X140)
          | ~ c3_1(X140)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp14
      | hskp20
      | hskp12 )
    & ( hskp29
      | hskp24
      | hskp19 )
    & ( hskp25
      | hskp22
      | hskp9 )
    & ( hskp1
      | hskp27
      | hskp4 )
    & ( hskp17
      | hskp22
      | hskp19 )
    & ( hskp27
      | hskp9 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp11
      | hskp21
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c3_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a2)
        & ~ c1_1(a2)
        & ~ c2_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a3)
        & ~ c1_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a5)
        & ~ c0_1(a5)
        & ~ c1_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a7)
        & ~ c1_1(a7)
        & ~ c3_1(a7) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a8)
        & ~ c2_1(a8)
        & ~ c3_1(a8) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a10)
        & c3_1(a10)
        & ~ c2_1(a10) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a11)
        & ~ c0_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & ~ c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a20)
        & ~ c2_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a22)
        & ~ c0_1(a22)
        & ~ c1_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c2_1(a25) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a28)
        & c3_1(a28)
        & ~ c1_1(a28) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a32)
        & c2_1(a32)
        & ~ c1_1(a32) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a33)
        & ~ c1_1(a33)
        & ~ c3_1(a33) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a39)
        & c3_1(a39)
        & ~ c1_1(a39) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a40)
        & ~ c0_1(a40)
        & ~ c3_1(a40) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a43)
        & c1_1(a43)
        & ~ c3_1(a43) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a47)
        & c3_1(a47)
        & ~ c0_1(a47) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a48)
        & ~ c0_1(a48)
        & ~ c3_1(a48) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a63)
        & ~ c1_1(a63)
        & ~ c3_1(a63) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a64)
        & c3_1(a64)
        & ~ c0_1(a64) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a73)
        & c2_1(a73)
        & ~ c3_1(a73) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a4)
        & c1_1(a4)
        & c3_1(a4) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a13)
        & c2_1(a13)
        & c3_1(a13) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a23)
        & c1_1(a23)
        & c2_1(a23) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a77)
        & c2_1(a77)
        & c3_1(a77) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp26
      | hskp3 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | c3_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c3_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | hskp1
      | hskp27 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp0
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c0_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c3_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X66] :
          ( c0_1(X66)
          | c3_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c0_1(X69)
          | c3_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp15
      | hskp13 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp17
      | hskp5 )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp13
      | hskp10 )
    & ( ! [X75] :
          ( c0_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X77] :
          ( c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c1_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X82] :
          ( c0_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X84] :
          ( c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X86] :
          ( c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c2_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c1_1(X94)
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( c1_1(X96)
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X105] :
          ( c1_1(X105)
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X106] :
          ( c1_1(X106)
          | c3_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X107] :
          ( c1_1(X107)
          | c3_1(X107)
          | ~ c2_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c1_1(X108)
          | ~ c0_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( c1_1(X110)
          | c3_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c2_1(X111)
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X113] :
          ( c1_1(X113)
          | c3_1(X113)
          | ~ c2_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c2_1(X114)
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X115] :
          ( c1_1(X115)
          | c3_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | ~ c0_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( c1_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | ~ c0_1(X120)
          | ~ c1_1(X120)
          | ~ ndr1_0 ) )
    & ( ! [X121] :
          ( c1_1(X121)
          | ~ c0_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | ! [X122] :
          ( c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c0_1(X123)
          | ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ ndr1_0 ) )
    & ( ! [X124] :
          ( c1_1(X124)
          | ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c3_1(X125)
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X126] :
          ( c1_1(X126)
          | ~ c0_1(X126)
          | ~ c2_1(X126)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X127] :
          ( c1_1(X127)
          | ~ c0_1(X127)
          | ~ c2_1(X127)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X128] :
          ( c1_1(X128)
          | ~ c2_1(X128)
          | ~ c3_1(X128)
          | ~ ndr1_0 )
      | ! [X129] :
          ( c3_1(X129)
          | ~ c0_1(X129)
          | ~ c2_1(X129)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X130] :
          ( c2_1(X130)
          | c3_1(X130)
          | ~ c0_1(X130)
          | ~ ndr1_0 )
      | ! [X131] :
          ( c3_1(X131)
          | ~ c1_1(X131)
          | ~ c2_1(X131)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X132] :
          ( c2_1(X132)
          | c3_1(X132)
          | ~ c0_1(X132)
          | ~ ndr1_0 )
      | ! [X133] :
          ( ~ c0_1(X133)
          | ~ c1_1(X133)
          | ~ c3_1(X133)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X134] :
          ( c2_1(X134)
          | c3_1(X134)
          | ~ c0_1(X134)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X135] :
          ( c2_1(X135)
          | c3_1(X135)
          | ~ c0_1(X135)
          | ~ ndr1_0 )
      | hskp24
      | hskp22 )
    & ( ! [X136] :
          ( c2_1(X136)
          | c3_1(X136)
          | ~ c1_1(X136)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X137] :
          ( c2_1(X137)
          | ~ c0_1(X137)
          | ~ c1_1(X137)
          | ~ ndr1_0 )
      | hskp20
      | hskp6 )
    & ( ! [X138] :
          ( c3_1(X138)
          | ~ c0_1(X138)
          | ~ c2_1(X138)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X139] :
          ( c3_1(X139)
          | ~ c1_1(X139)
          | ~ c2_1(X139)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X140] :
          ( ~ c0_1(X140)
          | ~ c1_1(X140)
          | ~ c3_1(X140)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp14
      | hskp20
      | hskp12 )
    & ( hskp29
      | hskp24
      | hskp19 )
    & ( hskp25
      | hskp22
      | hskp9 )
    & ( hskp1
      | hskp27
      | hskp4 )
    & ( hskp17
      | hskp22
      | hskp19 )
    & ( hskp27
      | hskp9 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp11
      | hskp21
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp11
    | hskp21
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp11
    | hskp0
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp27
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp1
    | hskp27
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp25
    | hskp22
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp29
    | hskp24
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp14
    | hskp20
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X140] :
      ( ~ c0_1(X140)
      | ~ c1_1(X140)
      | ~ c3_1(X140)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X136] :
      ( c2_1(X136)
      | c3_1(X136)
      | ~ c1_1(X136)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X135] :
      ( c2_1(X135)
      | c3_1(X135)
      | ~ c0_1(X135)
      | ~ ndr1_0
      | hskp24
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X132,X133] :
      ( c2_1(X132)
      | c3_1(X132)
      | ~ c0_1(X132)
      | ~ ndr1_0
      | ~ c0_1(X133)
      | ~ c1_1(X133)
      | ~ c3_1(X133)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X130,X131] :
      ( c2_1(X130)
      | c3_1(X130)
      | ~ c0_1(X130)
      | ~ ndr1_0
      | c3_1(X131)
      | ~ c1_1(X131)
      | ~ c2_1(X131)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X128,X129] :
      ( c1_1(X128)
      | ~ c2_1(X128)
      | ~ c3_1(X128)
      | ~ ndr1_0
      | c3_1(X129)
      | ~ c0_1(X129)
      | ~ c2_1(X129)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X127] :
      ( c1_1(X127)
      | ~ c0_1(X127)
      | ~ c2_1(X127)
      | ~ ndr1_0
      | hskp11
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X121,X122,X123] :
      ( c1_1(X121)
      | ~ c0_1(X121)
      | ~ c2_1(X121)
      | ~ ndr1_0
      | c1_1(X122)
      | ~ c2_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | ~ c0_1(X123)
      | ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X120,X118,X119] :
      ( c1_1(X118)
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | c1_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | ~ ndr1_0
      | c2_1(X120)
      | ~ c0_1(X120)
      | ~ c1_1(X120)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X113,X114] :
      ( c1_1(X113)
      | c3_1(X113)
      | ~ c2_1(X113)
      | ~ ndr1_0
      | c2_1(X114)
      | c3_1(X114)
      | ~ c1_1(X114)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ ndr1_0
      | c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c0_1(X102)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X98,X99,X100] :
      ( c1_1(X98)
      | c2_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | c2_1(X96)
      | ~ c0_1(X96)
      | ~ ndr1_0
      | c1_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X90,X91,X92] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X80,X81] :
      ( c0_1(X80)
      | ~ c1_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X78,X79,X77] :
      ( c0_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X76,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c0_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X74] :
      ( c0_1(X74)
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | hskp13
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X69] :
      ( c0_1(X69)
      | c3_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | hskp15
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X68,X66,X67] :
      ( c0_1(X66)
      | c3_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c2_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | ~ c0_1(X68)
      | ~ c1_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c1_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c3_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X50] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | hskp1
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X47] :
      ( c0_1(X47)
      | c2_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X46] :
      ( c0_1(X46)
      | c2_1(X46)
      | c3_1(X46)
      | ~ ndr1_0
      | hskp1
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X31,X32,X33] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c1_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X28,X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | ~ c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | ~ c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c2_1(X16)
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c2_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c0_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | ~ c1_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c0_1(a77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c2_1(a23) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a23) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a23) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | c3_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | c2_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | c1_1(a13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c3_1(a73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c2_1(a73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c0_1(a73) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c0_1(a64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | c3_1(a64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c1_1(a64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c3_1(a48) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | ~ c0_1(a48) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c1_1(a48) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c0_1(a47) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c3_1(a47) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c2_1(a47) ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f123,plain,
    ( ~ hskp20
    | c1_1(a43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp20
    | c0_1(a43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp19
    | ~ c3_1(a40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp19
    | ~ c0_1(a40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp19
    | c2_1(a40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c1_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c2_1(a28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c2_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c0_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c1_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c3_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | ~ c2_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | ~ c0_1(a20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c1_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp9
    | ~ c0_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp8
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | ~ c0_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c3_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c3_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | ~ c1_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c1_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c1_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c0_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c1_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ! [X132,X133] :
      ( c2_1(X132)
      | c3_1(X132)
      | ~ c0_1(X132)
      | ~ ndr1_0
      | ~ c0_1(X133)
      | ~ c1_1(X133)
      | ~ c3_1(X133)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f207,plain,
    ! [X130,X131] :
      ( c2_1(X130)
      | c3_1(X130)
      | ~ c0_1(X130)
      | ~ ndr1_0
      | c3_1(X131)
      | ~ c1_1(X131)
      | ~ c2_1(X131)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f208,plain,
    ! [X128,X129] :
      ( c1_1(X128)
      | ~ c2_1(X128)
      | ~ c3_1(X128)
      | ~ ndr1_0
      | c3_1(X129)
      | ~ c0_1(X129)
      | ~ c2_1(X129)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f210,plain,
    ! [X121,X122,X123] :
      ( c1_1(X121)
      | ~ c0_1(X121)
      | ~ c2_1(X121)
      | ~ ndr1_0
      | c1_1(X122)
      | ~ c2_1(X122)
      | ~ c3_1(X122)
      | ~ c0_1(X123)
      | ~ c1_1(X123)
      | ~ c2_1(X123) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f211,plain,
    ! [X120,X118,X119] :
      ( c1_1(X118)
      | ~ c0_1(X118)
      | ~ c2_1(X118)
      | ~ ndr1_0
      | c1_1(X119)
      | ~ c2_1(X119)
      | ~ c3_1(X119)
      | c2_1(X120)
      | ~ c0_1(X120)
      | ~ c1_1(X120) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f213,plain,
    ! [X113,X114] :
      ( c1_1(X113)
      | c3_1(X113)
      | ~ c2_1(X113)
      | ~ ndr1_0
      | c2_1(X114)
      | c3_1(X114)
      | ~ c1_1(X114)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f216,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ ndr1_0
      | c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f217,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c0_1(X102)
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f218,plain,
    ! [X98,X99,X100] :
      ( c1_1(X98)
      | c2_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f219,plain,
    ! [X96,X97] :
      ( c1_1(X96)
      | c2_1(X96)
      | ~ c0_1(X96)
      | ~ ndr1_0
      | c1_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f221,plain,
    ! [X90,X91,X92] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c0_1(X91)
      | ~ c2_1(X91)
      | c2_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f225,plain,
    ! [X80,X81] :
      ( c0_1(X80)
      | ~ c1_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f226,plain,
    ! [X78,X79,X77] :
      ( c0_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | c3_1(X79)
      | ~ c1_1(X79)
      | ~ c2_1(X79) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f227,plain,
    ! [X76,X75] :
      ( c0_1(X75)
      | ~ c1_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c0_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f229,plain,
    ! [X68,X66,X67] :
      ( c0_1(X66)
      | c3_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c2_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ c0_1(X68)
      | ~ c1_1(X68)
      | ~ c2_1(X68) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f230,plain,
    ! [X65,X64] :
      ( c0_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f231,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f232,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f233,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c1_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c3_1(X58)
      | ~ c0_1(X58)
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f235,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c0_1(X54)
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f237,plain,
    ! [X44,X45,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | c1_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | c3_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f238,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f240,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | c2_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f241,plain,
    ! [X31,X32,X33] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | c1_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f242,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f243,plain,
    ! [X28,X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c1_1(X27)
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f244,plain,
    ! [X24,X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | ~ c1_1(X23)
      | ~ c3_1(X23)
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c3_1(X24) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f245,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f246,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | ~ c1_1(X18)
      | ~ c2_1(X18)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f247,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | c2_1(X16)
      | c3_1(X16)
      | ~ c0_1(X16) ),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f248,plain,
    ! [X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f249,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ c1_1(X11)
      | ~ c2_1(X11)
      | ~ c3_1(X11) ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f250,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c0_1(X7)
      | ~ c3_1(X7)
      | c2_1(X8)
      | ~ c1_1(X8)
      | ~ c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f85]) ).

fof(f254,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_2
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_3
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f260,f257,f254]) ).

fof(f264,definition,
    ( spl0_4
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_5
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f269,plain,
    ( spl0_4
    | spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f260,f267,f264]) ).

fof(f271,definition,
    ( spl0_6
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f274,definition,
    ( spl0_7
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f276,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f274,f271]) ).

fof(f278,definition,
    ( spl0_8
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_10
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_11
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f290,plain,
    ( spl0_10
    | spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f288,f274,f285]) ).

fof(f292,definition,
    ( spl0_12
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f294,plain,
    ( spl0_6
    | spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f292,f264,f271]) ).

fof(f296,definition,
    ( spl0_13
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_14
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f301,plain,
    ( spl0_8
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f12,f299,f296,f278]) ).

fof(f303,definition,
    ( spl0_15
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_16
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f308,plain,
    ( spl0_1
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f306,f303,f254]) ).

fof(f310,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_18
  <=> ! [X140] :
        ( ~ c0_1(X140)
        | ~ c3_1(X140)
        | ~ c1_1(X140) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f314,plain,
    ( ! [X140] :
        ( ~ c3_1(X140)
        | ~ c0_1(X140)
        | ~ c1_1(X140) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f315,plain,
    ( spl0_12
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f14,f313,f310,f292]) ).

fof(f317,definition,
    ( spl0_19
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f323,definition,
    ( spl0_21
  <=> ! [X139] :
        ( c3_1(X139)
        | ~ c2_1(X139)
        | ~ c1_1(X139) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X139] :
        ( c3_1(X139)
        | ~ c2_1(X139)
        | ~ c1_1(X139) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f330,definition,
    ( spl0_23
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_24
  <=> ! [X138] :
        ( c3_1(X138)
        | ~ c2_1(X138)
        | ~ c0_1(X138) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X138] :
        ( c3_1(X138)
        | ~ c2_1(X138)
        | ~ c0_1(X138) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f337,definition,
    ( spl0_25
  <=> ! [X137] :
        ( c2_1(X137)
        | ~ c1_1(X137)
        | ~ c0_1(X137) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X137] :
        ( c2_1(X137)
        | ~ c1_1(X137)
        | ~ c0_1(X137) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f341,definition,
    ( spl0_26
  <=> ! [X136] :
        ( c2_1(X136)
        | ~ c1_1(X136)
        | c3_1(X136) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X136] :
        ( c3_1(X136)
        | ~ c1_1(X136)
        | c2_1(X136) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f343,plain,
    ( spl0_8
    | ~ spl0_17
    | spl0_26 ),
    inference(avatar_split_clause,[],[f18,f341,f310,f278]) ).

fof(f345,definition,
    ( spl0_27
  <=> ! [X135] :
        ( c2_1(X135)
        | ~ c0_1(X135)
        | c3_1(X135) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X135] :
        ( c3_1(X135)
        | ~ c0_1(X135)
        | c2_1(X135) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_4
    | spl0_13
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f19,f345,f310,f296,f264]) ).

fof(f356,definition,
    ( spl0_30
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f358,plain,
    ( spl0_30
    | spl0_18
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f206,f345,f310,f313,f356]) ).

fof(f359,plain,
    ( spl0_15
    | spl0_21
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f207,f345,f310,f323,f303]) ).

fof(f361,definition,
    ( spl0_31
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f364,definition,
    ( spl0_32
  <=> ! [X128] :
        ( c1_1(X128)
        | ~ c3_1(X128)
        | ~ c2_1(X128) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X128] :
        ( ~ c3_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_31
    | spl0_24
    | ~ spl0_17
    | spl0_32 ),
    inference(avatar_split_clause,[],[f208,f364,f310,f333,f361]) ).

fof(f368,definition,
    ( spl0_33
  <=> ! [X127] :
        ( c1_1(X127)
        | ~ c2_1(X127)
        | ~ c0_1(X127) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X127] :
        ( ~ c2_1(X127)
        | c1_1(X127)
        | ~ c0_1(X127) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f24,f368,f310,f260,f257]) ).

fof(f373,definition,
    ( spl0_34
  <=> ! [X125] :
        ( c3_1(X125)
        | ~ c1_1(X125)
        | ~ c0_1(X125) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X125] :
        ( c3_1(X125)
        | ~ c1_1(X125)
        | ~ c0_1(X125) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f377,definition,
    ( spl0_35
  <=> ! [X123] :
        ( ~ c0_1(X123)
        | ~ c2_1(X123)
        | ~ c1_1(X123) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X123] :
        ( ~ c2_1(X123)
        | ~ c0_1(X123)
        | ~ c1_1(X123) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f379,plain,
    ( spl0_35
    | spl0_32
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f210,f368,f310,f364,f377]) ).

fof(f380,plain,
    ( spl0_25
    | spl0_32
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f211,f368,f310,f364,f337]) ).

fof(f382,definition,
    ( spl0_36
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X116] :
        ( ~ c3_1(X116)
        | c2_1(X116)
        | ~ c0_1(X116) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,definition,
    ( spl0_37
  <=> ! [X115] :
        ( c1_1(X115)
        | ~ c2_1(X115)
        | c3_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | c1_1(X115) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f388,plain,
    ( spl0_11
    | spl0_26
    | ~ spl0_17
    | spl0_37 ),
    inference(avatar_split_clause,[],[f213,f385,f310,f341,f288]) ).

fof(f391,definition,
    ( spl0_38
  <=> ! [X108] :
        ( c1_1(X108)
        | ~ c3_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X108] :
        ( ~ c3_1(X108)
        | c1_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f395,definition,
    ( spl0_39
  <=> ! [X106] :
        ( c1_1(X106)
        | ~ c0_1(X106)
        | c3_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f396,plain,
    ( ! [X106] :
        ( c3_1(X106)
        | ~ c0_1(X106)
        | c1_1(X106) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f399,plain,
    ( spl0_4
    | spl0_32
    | ~ spl0_17
    | spl0_39 ),
    inference(avatar_split_clause,[],[f216,f395,f310,f364,f264]) ).

fof(f401,definition,
    ( spl0_40
  <=> ! [X101] :
        ( c1_1(X101)
        | ~ c3_1(X101)
        | c2_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c1_1(X101)
        | c2_1(X101) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_2
    | spl0_35
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f217,f401,f310,f377,f257]) ).

fof(f404,plain,
    ( spl0_34
    | spl0_32
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f218,f401,f310,f364,f373]) ).

fof(f406,definition,
    ( spl0_41
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c0_1(X96)
        | c2_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X96] :
        ( c2_1(X96)
        | ~ c0_1(X96)
        | c1_1(X96) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f219,f406,f310,f364,f361]) ).

fof(f413,plain,
    ( spl0_36
    | spl0_33
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f221,f406,f310,f368,f382]) ).

fof(f423,definition,
    ( spl0_45
  <=> ! [X86] :
        ( c0_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f424,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | c0_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f428,definition,
    ( spl0_46
  <=> ! [X82] :
        ( c0_1(X82)
        | ~ c3_1(X82)
        | ~ c1_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | ~ c1_1(X82) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f432,definition,
    ( spl0_47
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f434,plain,
    ( spl0_47
    | spl0_27
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f225,f428,f310,f345,f432]) ).

fof(f435,plain,
    ( spl0_21
    | spl0_32
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f226,f428,f310,f364,f323]) ).

fof(f436,plain,
    ( spl0_1
    | spl0_45
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f227,f428,f310,f423,f254]) ).

fof(f438,definition,
    ( spl0_48
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_49
  <=> ! [X74] :
        ( c0_1(X74)
        | ~ c2_1(X74)
        | ~ c1_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | c0_1(X74)
        | ~ c1_1(X74) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( spl0_48
    | spl0_30
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f49,f441,f310,f356,f438]) ).

fof(f445,definition,
    ( spl0_50
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_52
  <=> ! [X69] :
        ( c0_1(X69)
        | ~ c2_1(X69)
        | c3_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | ~ c2_1(X69)
        | c0_1(X69) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_30
    | spl0_47
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f53,f454,f310,f432,f356]) ).

fof(f457,plain,
    ( spl0_35
    | spl0_27
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f229,f454,f310,f345,f377]) ).

fof(f459,definition,
    ( spl0_53
  <=> ! [X65] :
        ( ~ c1_1(X65)
        | ~ c3_1(X65)
        | ~ c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | ~ c1_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f462,definition,
    ( spl0_54
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c1_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | ~ c1_1(X64)
        | c0_1(X64) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_23
    | spl0_53
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f230,f462,f310,f459,f330]) ).

fof(f465,plain,
    ( spl0_30
    | spl0_18
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f231,f462,f310,f313,f356]) ).

fof(f466,plain,
    ( spl0_16
    | spl0_24
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f232,f462,f310,f333,f306]) ).

fof(f467,plain,
    ( spl0_26
    | spl0_39
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f233,f462,f310,f395,f341]) ).

fof(f469,definition,
    ( spl0_55
  <=> ! [X55] :
        ( c0_1(X55)
        | ~ c3_1(X55)
        | c2_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | c0_1(X55)
        | c2_1(X55) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,plain,
    ( spl0_23
    | spl0_45
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f235,f469,f310,f423,f330]) ).

fof(f474,definition,
    ( spl0_56
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c1_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X52] :
        ( c2_1(X52)
        | ~ c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f478,plain,
    ( spl0_48
    | spl0_11
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f63,f474,f310,f288,f438]) ).

fof(f481,definition,
    ( spl0_57
  <=> ! [X47] :
        ( c0_1(X47)
        | c3_1(X47)
        | c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X47] :
        ( c3_1(X47)
        | c0_1(X47)
        | c2_1(X47) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f483,plain,
    ( spl0_6
    | spl0_31
    | ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f65,f481,f310,f361,f271]) ).

fof(f484,plain,
    ( spl0_7
    | spl0_11
    | ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f66,f481,f310,f288,f274]) ).

fof(f485,plain,
    ( spl0_21
    | spl0_37
    | ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f237,f481,f310,f385,f323]) ).

fof(f490,definition,
    ( spl0_59
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | c1_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | c1_1(X42) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,plain,
    ( spl0_19
    | spl0_32
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f238,f490,f310,f364,f317]) ).

fof(f495,plain,
    ( spl0_25
    | spl0_45
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f240,f490,f310,f423,f337]) ).

fof(f496,plain,
    ( spl0_37
    | spl0_45
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f241,f490,f310,f423,f385]) ).

fof(f497,plain,
    ( spl0_50
    | spl0_49
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f242,f490,f310,f441,f445]) ).

fof(f498,plain,
    ( spl0_32
    | spl0_56
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f243,f490,f310,f474,f364]) ).

fof(f500,definition,
    ( spl0_60
  <=> ! [X25] :
        ( c0_1(X25)
        | ~ c2_1(X25)
        | c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | c0_1(X25)
        | c1_1(X25) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( spl0_36
    | spl0_46
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f244,f500,f310,f428,f382]) ).

fof(f505,definition,
    ( spl0_61
  <=> ! [X21] :
        ( c0_1(X21)
        | c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X21] :
        ( c3_1(X21)
        | c0_1(X21)
        | c1_1(X21) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f509,definition,
    ( spl0_62
  <=> ! [X20] :
        ( c2_1(X20)
        | ~ c3_1(X20)
        | ~ c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f510,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c1_1(X20) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f511,plain,
    ( spl0_19
    | spl0_62
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f245,f505,f310,f509,f317]) ).

fof(f512,plain,
    ( spl0_11
    | spl0_49
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f246,f505,f310,f441,f288]) ).

fof(f513,plain,
    ( spl0_27
    | spl0_60
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f247,f505,f310,f500,f345]) ).

fof(f515,definition,
    ( spl0_63
  <=> ! [X12] :
        ( c0_1(X12)
        | c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f517,plain,
    ( spl0_5
    | spl0_26
    | ~ spl0_17
    | spl0_63 ),
    inference(avatar_split_clause,[],[f248,f515,f310,f341,f267]) ).

fof(f518,plain,
    ( spl0_53
    | spl0_32
    | ~ spl0_17
    | spl0_63 ),
    inference(avatar_split_clause,[],[f249,f515,f310,f364,f459]) ).

fof(f519,plain,
    ( spl0_62
    | spl0_38
    | ~ spl0_17
    | spl0_63 ),
    inference(avatar_split_clause,[],[f250,f515,f310,f391,f509]) ).

fof(f521,plain,
    ( spl0_38
    | spl0_46
    | ~ spl0_17
    | spl0_63 ),
    inference(avatar_split_clause,[],[f252,f515,f310,f428,f391]) ).

fof(f523,definition,
    ( spl0_64
  <=> c3_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f524,plain,
    ( c3_1(a77)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f526,plain,
    ( spl0_64
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f86,f299,f523]) ).

fof(f528,definition,
    ( spl0_65
  <=> c2_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f529,plain,
    ( c2_1(a77)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( spl0_65
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f87,f299,f528]) ).

fof(f532,definition,
    ( spl0_66
  <=> c0_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f533,plain,
    ( c0_1(a77)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f534,plain,
    ( spl0_66
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f88,f299,f532]) ).

fof(f538,definition,
    ( spl0_67
  <=> c2_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f539,plain,
    ( c2_1(a23)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( spl0_67
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f90,f330,f538]) ).

fof(f543,definition,
    ( spl0_68
  <=> c1_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_68
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f91,f330,f543]) ).

fof(f547,definition,
    ( spl0_69
  <=> c0_1(a23) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f548,plain,
    ( c0_1(a23)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( spl0_69
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f92,f330,f547]) ).

fof(f552,definition,
    ( spl0_70
  <=> c3_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f553,plain,
    ( c3_1(a13)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f555,plain,
    ( spl0_70
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f274,f552]) ).

fof(f557,definition,
    ( spl0_71
  <=> c2_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f558,plain,
    ( c2_1(a13)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( spl0_71
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f95,f274,f557]) ).

fof(f561,definition,
    ( spl0_72
  <=> c1_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f563,plain,
    ( spl0_72
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f96,f274,f561]) ).

fof(f580,definition,
    ( spl0_76
  <=> c3_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c3_1(a73)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl0_76
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f102,f292,f580]) ).

fof(f585,definition,
    ( spl0_77
  <=> c2_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f586,plain,
    ( c2_1(a73)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( spl0_77
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f103,f292,f585]) ).

fof(f589,definition,
    ( spl0_78
  <=> c0_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f591,plain,
    ( spl0_78
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f104,f292,f589]) ).

fof(f594,definition,
    ( spl0_79
  <=> c0_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ spl0_79
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f106,f296,f594]) ).

fof(f599,definition,
    ( spl0_80
  <=> c3_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f600,plain,
    ( c3_1(a64)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( spl0_80
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f107,f296,f599]) ).

fof(f603,definition,
    ( spl0_81
  <=> c1_1(a64) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f605,plain,
    ( spl0_81
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f108,f296,f603]) ).

fof(f622,definition,
    ( spl0_85
  <=> c3_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f623,plain,
    ( ~ c3_1(a48)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f625,plain,
    ( ~ spl0_85
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f264,f622]) ).

fof(f627,definition,
    ( spl0_86
  <=> c0_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_86
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f264,f627]) ).

fof(f631,definition,
    ( spl0_87
  <=> c1_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_87
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f264,f631]) ).

fof(f636,definition,
    ( spl0_88
  <=> c0_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f639,plain,
    ( ~ spl0_88
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f257,f636]) ).

fof(f641,definition,
    ( spl0_89
  <=> c3_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f642,plain,
    ( c3_1(a47)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f643,plain,
    ( spl0_89
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f119,f257,f641]) ).

fof(f645,definition,
    ( spl0_90
  <=> c2_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f646,plain,
    ( c2_1(a47)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f647,plain,
    ( spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f257,f645]) ).

fof(f648,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f257,f310]) ).

fof(f655,definition,
    ( spl0_92
  <=> c1_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f657,plain,
    ( spl0_92
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f123,f303,f655]) ).

fof(f659,definition,
    ( spl0_93
  <=> c0_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f661,plain,
    ( spl0_93
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f124,f303,f659]) ).

fof(f664,definition,
    ( spl0_94
  <=> c3_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ c3_1(a40)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f667,plain,
    ( ~ spl0_94
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f126,f278,f664]) ).

fof(f669,definition,
    ( spl0_95
  <=> c0_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f671,plain,
    ( ~ spl0_95
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f127,f278,f669]) ).

fof(f673,definition,
    ( spl0_96
  <=> c2_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f674,plain,
    ( c2_1(a40)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f675,plain,
    ( spl0_96
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f128,f278,f673]) ).

fof(f720,definition,
    ( spl0_106
  <=> c1_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ spl0_106
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f142,f432,f720]) ).

fof(f725,definition,
    ( spl0_107
  <=> c3_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f726,plain,
    ( c3_1(a28)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_107
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f143,f432,f725]) ).

fof(f729,definition,
    ( spl0_108
  <=> c2_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f731,plain,
    ( spl0_108
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f144,f432,f729]) ).

fof(f734,definition,
    ( spl0_109
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ c2_1(a25)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f737,plain,
    ( ~ spl0_109
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f146,f306,f734]) ).

fof(f739,definition,
    ( spl0_110
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f741,plain,
    ( spl0_110
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f147,f306,f739]) ).

fof(f743,definition,
    ( spl0_111
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f745,plain,
    ( spl0_111
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f148,f306,f743]) ).

fof(f748,definition,
    ( spl0_112
  <=> c1_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ spl0_112
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f150,f356,f748]) ).

fof(f753,definition,
    ( spl0_113
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ spl0_113
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f151,f356,f753]) ).

fof(f757,definition,
    ( spl0_114
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f758,plain,
    ( c3_1(a22)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_114
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f152,f356,f757]) ).

fof(f762,definition,
    ( spl0_115
  <=> c3_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ c3_1(a20)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_115
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f254,f762]) ).

fof(f767,definition,
    ( spl0_116
  <=> c2_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f768,plain,
    ( ~ c2_1(a20)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f769,plain,
    ( ~ spl0_116
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f254,f767]) ).

fof(f771,definition,
    ( spl0_117
  <=> c0_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_117
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f254,f771]) ).

fof(f774,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f254,f310]) ).

fof(f776,definition,
    ( spl0_118
  <=> c0_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f158,f260,f776]) ).

fof(f781,definition,
    ( spl0_119
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f782,plain,
    ( c2_1(a19)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f783,plain,
    ( spl0_119
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f159,f260,f781]) ).

fof(f785,definition,
    ( spl0_120
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_120
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f160,f260,f785]) ).

fof(f788,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f161,f260,f310]) ).

fof(f790,definition,
    ( spl0_121
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ c3_1(a18)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f793,plain,
    ( ~ spl0_121
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f162,f438,f790]) ).

fof(f795,definition,
    ( spl0_122
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ c2_1(a18)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f797,plain,
    ( ~ spl0_122
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f163,f438,f795]) ).

fof(f799,definition,
    ( spl0_123
  <=> c1_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ spl0_123
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f164,f438,f799]) ).

fof(f804,definition,
    ( spl0_124
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ c2_1(a15)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( ~ spl0_124
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f166,f271,f804]) ).

fof(f809,definition,
    ( spl0_125
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ spl0_125
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f167,f271,f809]) ).

fof(f813,definition,
    ( spl0_126
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f168,f271,f813]) ).

fof(f818,definition,
    ( spl0_127
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ c2_1(a14)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( ~ spl0_127
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f170,f361,f818]) ).

fof(f823,definition,
    ( spl0_128
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ spl0_128
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f171,f361,f823]) ).

fof(f827,definition,
    ( spl0_129
  <=> c3_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f828,plain,
    ( c3_1(a14)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f829,plain,
    ( spl0_129
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f172,f361,f827]) ).

fof(f860,definition,
    ( spl0_136
  <=> c3_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c3_1(a8)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( ~ spl0_136
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f182,f445,f860]) ).

fof(f865,definition,
    ( spl0_137
  <=> c2_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ spl0_137
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f183,f445,f865]) ).

fof(f869,definition,
    ( spl0_138
  <=> c1_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f871,plain,
    ( spl0_138
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f184,f445,f869]) ).

fof(f874,definition,
    ( spl0_139
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ c3_1(a7)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( ~ spl0_139
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f186,f285,f874]) ).

fof(f879,definition,
    ( spl0_140
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ spl0_140
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f187,f285,f879]) ).

fof(f883,definition,
    ( spl0_141
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_141
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f188,f285,f883]) ).

fof(f902,definition,
    ( spl0_145
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_145
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f194,f317,f902]) ).

fof(f907,definition,
    ( spl0_146
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ spl0_146
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f195,f317,f907]) ).

fof(f911,definition,
    ( spl0_147
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f912,plain,
    ( c3_1(a3)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f913,plain,
    ( spl0_147
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f196,f317,f911]) ).

fof(f916,definition,
    ( spl0_148
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ c2_1(a2)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( ~ spl0_148
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f198,f288,f916]) ).

fof(f921,definition,
    ( spl0_149
  <=> c1_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ spl0_149
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f199,f288,f921]) ).

fof(f925,definition,
    ( spl0_150
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f927,plain,
    ( spl0_150
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f200,f288,f925]) ).

fof(f930,definition,
    ( spl0_151
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c2_1(a1)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( ~ spl0_151
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f202,f267,f930]) ).

fof(f935,definition,
    ( spl0_152
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f936,plain,
    ( c3_1(a1)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f937,plain,
    ( spl0_152
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f203,f267,f935]) ).

fof(f939,definition,
    ( spl0_153
  <=> c1_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_153
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f204,f267,f939]) ).

fof(f943,plain,
    ( ~ c0_1(a77)
    | ~ c1_1(a77)
    | ~ spl0_18
    | ~ spl0_64 ),
    inference(resolution,[],[f314,f524]) ).

fof(f946,definition,
    ( spl0_154
  <=> c1_1(a77) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f949,plain,
    ( ~ spl0_154
    | ~ spl0_66
    | ~ spl0_18
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f943,f523,f313,f532,f946]) ).

fof(f950,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(resolution,[],[f324,f314]) ).

fof(f953,plain,
    ( ~ c2_1(a48)
    | ~ c1_1(a48)
    | ~ spl0_21
    | spl0_85 ),
    inference(resolution,[],[f324,f623]) ).

fof(f954,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f950]) ).

fof(f957,definition,
    ( spl0_155
  <=> c2_1(a48) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_87
    | ~ spl0_155
    | ~ spl0_21
    | spl0_85 ),
    inference(avatar_split_clause,[],[f953,f622,f323,f957,f631]) ).

fof(f962,definition,
    ( spl0_156
  <=> c2_1(a43) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c2_1(a43)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f965,plain,
    ( spl0_35
    | ~ spl0_18
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f954,f323,f313,f377]) ).

fof(f966,plain,
    ( ~ c2_1(a73)
    | ~ c1_1(a73)
    | ~ spl0_21
    | spl0_76 ),
    inference(resolution,[],[f581,f324]) ).

fof(f968,definition,
    ( spl0_157
  <=> c1_1(a73) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f971,plain,
    ( ~ spl0_157
    | ~ spl0_77
    | ~ spl0_21
    | spl0_76 ),
    inference(avatar_split_clause,[],[f966,f580,f323,f585,f968]) ).

fof(f975,plain,
    ( ~ c2_1(a73)
    | ~ c0_1(a73)
    | ~ spl0_24
    | spl0_76 ),
    inference(resolution,[],[f334,f581]) ).

fof(f977,plain,
    ( ~ spl0_78
    | ~ spl0_77
    | ~ spl0_24
    | spl0_76 ),
    inference(avatar_split_clause,[],[f975,f580,f333,f585,f589]) ).

fof(f986,plain,
    ( ~ c1_1(a48)
    | c2_1(a48)
    | ~ spl0_26
    | spl0_85 ),
    inference(resolution,[],[f342,f623]) ).

fof(f989,plain,
    ( spl0_155
    | ~ spl0_87
    | ~ spl0_26
    | spl0_85 ),
    inference(avatar_split_clause,[],[f986,f622,f341,f631,f957]) ).

fof(f990,plain,
    ( c2_1(a43)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f994,plain,
    ( ~ c2_1(a40)
    | ~ c1_1(a40)
    | ~ spl0_21
    | spl0_94 ),
    inference(resolution,[],[f665,f324]) ).

fof(f996,definition,
    ( spl0_158
  <=> c1_1(a40) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f999,plain,
    ( ~ spl0_158
    | ~ spl0_96
    | ~ spl0_21
    | spl0_94 ),
    inference(avatar_split_clause,[],[f994,f664,f323,f673,f996]) ).

fof(f1002,plain,
    ( ~ c1_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_25
    | spl0_109 ),
    inference(resolution,[],[f338,f735]) ).

fof(f1025,definition,
    ( spl0_159
  <=> c1_1(a47) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1028,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(resolution,[],[f314,f346]) ).

fof(f1029,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_26 ),
    inference(resolution,[],[f314,f342]) ).

fof(f1033,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1029]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f1028]) ).

fof(f1040,plain,
    ( spl0_25
    | ~ spl0_18
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1033,f341,f313,f337]) ).

fof(f1041,plain,
    ( spl0_25
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f1034,f345,f313,f337]) ).

fof(f1042,plain,
    ( ~ spl0_111
    | ~ spl0_110
    | ~ spl0_25
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1002,f734,f337,f739,f743]) ).

fof(f1044,plain,
    ( ~ c1_1(a20)
    | c2_1(a20)
    | ~ spl0_26
    | spl0_115 ),
    inference(resolution,[],[f763,f342]) ).

fof(f1047,definition,
    ( spl0_161
  <=> c1_1(a20) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1049,plain,
    ( spl0_116
    | ~ spl0_161
    | ~ spl0_26
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1044,f762,f341,f1047,f767]) ).

fof(f1051,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(resolution,[],[f334,f314]) ).

fof(f1056,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f1051]) ).

fof(f1057,plain,
    ( spl0_35
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1056,f333,f313,f377]) ).

fof(f1062,plain,
    ( ~ c1_1(a43)
    | ~ c0_1(a43)
    | ~ spl0_25
    | spl0_156 ),
    inference(resolution,[],[f338,f963]) ).

fof(f1069,plain,
    ( c1_1(a73)
    | ~ c0_1(a73)
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(resolution,[],[f369,f586]) ).

fof(f1071,plain,
    ( c1_1(a77)
    | ~ c0_1(a77)
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(resolution,[],[f369,f529]) ).

fof(f1073,plain,
    ( ~ spl0_66
    | spl0_154
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1071,f528,f368,f946,f532]) ).

fof(f1075,plain,
    ( ~ spl0_78
    | spl0_157
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1069,f585,f368,f968,f589]) ).

fof(f1076,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(resolution,[],[f374,f314]) ).

fof(f1081,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1076]) ).

fof(f1083,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(resolution,[],[f378,f338]) ).

fof(f1087,plain,
    ( ~ c0_1(a73)
    | ~ c1_1(a73)
    | ~ spl0_35
    | ~ spl0_77 ),
    inference(resolution,[],[f378,f586]) ).

fof(f1088,plain,
    ( ~ c0_1(a23)
    | ~ c1_1(a23)
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(resolution,[],[f378,f539]) ).

fof(f1089,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1083]) ).

fof(f1092,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_35
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1088,f538,f377,f547,f543]) ).

fof(f1093,plain,
    ( ~ spl0_157
    | ~ spl0_78
    | ~ spl0_35
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1087,f585,f377,f589,f968]) ).

fof(f1112,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(resolution,[],[f392,f346]) ).

fof(f1117,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(duplicate_literal_removal,[],[f1112]) ).

fof(f1123,plain,
    ( spl0_41
    | ~ spl0_27
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f1117,f391,f345,f406]) ).

fof(f1147,definition,
    ( spl0_162
  <=> c1_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1153,plain,
    ( ~ c1_1(a23)
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(resolution,[],[f1081,f548]) ).

fof(f1154,plain,
    ( ~ c1_1(a77)
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(resolution,[],[f1081,f533]) ).

fof(f1155,plain,
    ( ~ spl0_68
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1153,f547,f373,f313,f543]) ).

fof(f1163,plain,
    ( c1_1(a47)
    | ~ c2_1(a47)
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(resolution,[],[f365,f642]) ).

fof(f1167,plain,
    ( ~ spl0_90
    | spl0_159
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1163,f641,f364,f1025,f645]) ).

fof(f1179,definition,
    ( spl0_163
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1185,plain,
    ( ~ c1_1(a23)
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_69 ),
    inference(resolution,[],[f1089,f548]) ).

fof(f1186,plain,
    ( ~ c1_1(a77)
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_66 ),
    inference(resolution,[],[f1089,f533]) ).

fof(f1187,plain,
    ( ~ spl0_68
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1185,f547,f377,f337,f543]) ).

fof(f1194,plain,
    ( c0_1(a47)
    | ~ c2_1(a47)
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(resolution,[],[f424,f642]) ).

fof(f1198,plain,
    ( ~ spl0_90
    | spl0_88
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1194,f641,f423,f636,f645]) ).

fof(f1204,plain,
    ( c0_1(a14)
    | ~ c1_1(a14)
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(resolution,[],[f429,f828]) ).

fof(f1211,plain,
    ( ~ spl0_162
    | spl0_128
    | ~ spl0_46
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1204,f827,f428,f823,f1147]) ).

fof(f1214,plain,
    ( c0_1(a19)
    | ~ c1_1(a19)
    | ~ spl0_49
    | ~ spl0_119 ),
    inference(resolution,[],[f442,f782]) ).

fof(f1215,plain,
    ( c0_1(a40)
    | ~ c1_1(a40)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f442,f674]) ).

fof(f1216,plain,
    ( c0_1(a47)
    | ~ c1_1(a47)
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(resolution,[],[f442,f646]) ).

fof(f1218,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_49
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1216,f645,f441,f636,f1025]) ).

fof(f1222,plain,
    ( ~ c1_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_25
    | spl0_151 ),
    inference(resolution,[],[f931,f338]) ).

fof(f1223,plain,
    ( c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(resolution,[],[f936,f429]) ).

fof(f1226,plain,
    ( ~ c0_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(resolution,[],[f936,f314]) ).

fof(f1229,definition,
    ( spl0_164
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1231,plain,
    ( ~ spl0_153
    | spl0_164
    | ~ spl0_46
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1223,f935,f428,f1229,f939]) ).

fof(f1232,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(resolution,[],[f455,f429]) ).

fof(f1234,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(resolution,[],[f455,f365]) ).

fof(f1238,plain,
    ( ~ c2_1(a40)
    | c0_1(a40)
    | ~ spl0_52
    | spl0_94 ),
    inference(resolution,[],[f455,f665]) ).

fof(f1239,plain,
    ( ~ c2_1(a48)
    | c0_1(a48)
    | ~ spl0_52
    | spl0_85 ),
    inference(resolution,[],[f455,f623]) ).

fof(f1240,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1234]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1232]) ).

fof(f1248,plain,
    ( spl0_60
    | ~ spl0_32
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1240,f454,f364,f500]) ).

fof(f1251,plain,
    ( c1_1(a22)
    | ~ c2_1(a22)
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(resolution,[],[f758,f365]) ).

fof(f1254,definition,
    ( spl0_165
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1255,plain,
    ( ~ c2_1(a22)
    | spl0_165 ),
    inference(avatar_component_clause,[],[f1254]) ).

fof(f1257,plain,
    ( ~ spl0_165
    | spl0_112
    | ~ spl0_32
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1251,f757,f364,f748,f1254]) ).

fof(f1261,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(resolution,[],[f460,f334]) ).

fof(f1271,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1261]) ).

fof(f1274,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(resolution,[],[f463,f460]) ).

fof(f1282,plain,
    ( ~ c1_1(a48)
    | c0_1(a48)
    | ~ spl0_54
    | spl0_85 ),
    inference(resolution,[],[f463,f623]) ).

fof(f1286,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1274]) ).

fof(f1296,plain,
    ( c0_1(a14)
    | c2_1(a14)
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(resolution,[],[f470,f828]) ).

fof(f1297,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | ~ spl0_55
    | ~ spl0_114 ),
    inference(resolution,[],[f470,f758]) ).

fof(f1307,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_55
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1296,f827,f469,f823,f818]) ).

fof(f1317,plain,
    ( ~ c1_1(a1)
    | c0_1(a1)
    | ~ spl0_56
    | spl0_151 ),
    inference(resolution,[],[f475,f931]) ).

fof(f1335,plain,
    ( ~ c0_1(a18)
    | c1_1(a18)
    | ~ spl0_39
    | spl0_121 ),
    inference(resolution,[],[f791,f396]) ).

fof(f1337,plain,
    ( ~ c0_1(a18)
    | c2_1(a18)
    | ~ spl0_27
    | spl0_121 ),
    inference(resolution,[],[f791,f346]) ).

fof(f1342,definition,
    ( spl0_166
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1344,plain,
    ( spl0_122
    | ~ spl0_166
    | ~ spl0_27
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1337,f790,f345,f1342,f795]) ).

fof(f1347,plain,
    ( spl0_123
    | ~ spl0_166
    | ~ spl0_39
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1335,f790,f395,f1342,f799]) ).

fof(f1356,plain,
    ( c0_1(a7)
    | c2_1(a7)
    | ~ spl0_57
    | spl0_139 ),
    inference(resolution,[],[f482,f875]) ).

fof(f1357,plain,
    ( c0_1(a18)
    | c2_1(a18)
    | ~ spl0_57
    | spl0_121 ),
    inference(resolution,[],[f482,f791]) ).

fof(f1358,plain,
    ( c0_1(a20)
    | c2_1(a20)
    | ~ spl0_57
    | spl0_115 ),
    inference(resolution,[],[f482,f763]) ).

fof(f1365,plain,
    ( spl0_116
    | spl0_117
    | ~ spl0_57
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1358,f762,f481,f771,f767]) ).

fof(f1366,plain,
    ( spl0_122
    | spl0_166
    | ~ spl0_57
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1357,f790,f481,f1342,f795]) ).

fof(f1367,plain,
    ( spl0_163
    | spl0_141
    | ~ spl0_57
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1356,f874,f481,f883,f1179]) ).

fof(f1368,plain,
    ( ~ c1_1(a13)
    | ~ c2_1(a13)
    | ~ spl0_53
    | ~ spl0_70 ),
    inference(resolution,[],[f553,f460]) ).

fof(f1369,plain,
    ( c0_1(a13)
    | ~ c2_1(a13)
    | ~ spl0_45
    | ~ spl0_70 ),
    inference(resolution,[],[f553,f424]) ).

fof(f1371,plain,
    ( ~ c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_18
    | ~ spl0_70 ),
    inference(resolution,[],[f553,f314]) ).

fof(f1375,definition,
    ( spl0_167
  <=> c0_1(a13) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1379,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_53
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1368,f552,f459,f561,f557]) ).

fof(f1380,plain,
    ( c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_49
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f442]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_45 ),
    inference(resolution,[],[f324,f424]) ).

fof(f1399,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1389]) ).

fof(f1409,plain,
    ( c0_1(a14)
    | c1_1(a14)
    | ~ spl0_59
    | ~ spl0_129 ),
    inference(resolution,[],[f491,f828]) ).

fof(f1410,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ spl0_59
    | ~ spl0_114 ),
    inference(resolution,[],[f491,f758]) ).

fof(f1415,plain,
    ( spl0_112
    | spl0_113
    | ~ spl0_59
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1410,f757,f490,f753,f748]) ).

fof(f1417,plain,
    ( spl0_162
    | spl0_128
    | ~ spl0_59
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1409,f827,f490,f823,f1147]) ).

fof(f1420,plain,
    ( c0_1(a40)
    | c1_1(a40)
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(resolution,[],[f501,f674]) ).

fof(f1430,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(resolution,[],[f383,f396]) ).

fof(f1434,plain,
    ( c2_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_36
    | ~ spl0_152 ),
    inference(resolution,[],[f383,f936]) ).

fof(f1442,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1430]) ).

fof(f1445,plain,
    ( ~ spl0_164
    | spl0_151
    | ~ spl0_36
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1434,f935,f382,f930,f1229]) ).

fof(f1446,plain,
    ( spl0_41
    | ~ spl0_36
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1442,f395,f382,f406]) ).

fof(f1449,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(resolution,[],[f506,f424]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(resolution,[],[f506,f365]) ).

fof(f1452,plain,
    ( c0_1(a7)
    | c1_1(a7)
    | ~ spl0_61
    | spl0_139 ),
    inference(resolution,[],[f506,f875]) ).

fof(f1453,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_61
    | spl0_121 ),
    inference(resolution,[],[f506,f791]) ).

fof(f1454,plain,
    ( c0_1(a20)
    | c1_1(a20)
    | ~ spl0_61
    | spl0_115 ),
    inference(resolution,[],[f506,f763]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1450]) ).

fof(f1458,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f1449]) ).

fof(f1461,plain,
    ( spl0_161
    | spl0_117
    | ~ spl0_61
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1454,f762,f505,f771,f1047]) ).

fof(f1462,plain,
    ( spl0_123
    | spl0_166
    | ~ spl0_61
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1453,f790,f505,f1342,f799]) ).

fof(f1463,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_61
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1452,f874,f505,f883,f879]) ).

fof(f1464,plain,
    ( spl0_60
    | ~ spl0_32
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1457,f505,f364,f500]) ).

fof(f1465,plain,
    ( spl0_60
    | ~ spl0_45
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1458,f505,f423,f500]) ).

fof(f1474,plain,
    ( c2_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_62
    | ~ spl0_152 ),
    inference(resolution,[],[f510,f936]) ).

fof(f1484,plain,
    ( ~ spl0_153
    | spl0_151
    | ~ spl0_62
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1474,f935,f509,f930,f939]) ).

fof(f1505,plain,
    ( c0_1(a14)
    | c1_1(a14)
    | ~ spl0_63
    | spl0_127 ),
    inference(resolution,[],[f516,f819]) ).

fof(f1506,plain,
    ( c0_1(a15)
    | c1_1(a15)
    | ~ spl0_63
    | spl0_124 ),
    inference(resolution,[],[f516,f805]) ).

fof(f1507,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_63
    | spl0_122 ),
    inference(resolution,[],[f516,f796]) ).

fof(f1508,plain,
    ( c0_1(a20)
    | c1_1(a20)
    | ~ spl0_63
    | spl0_116 ),
    inference(resolution,[],[f516,f768]) ).

fof(f1509,plain,
    ( c0_1(a22)
    | c1_1(a22)
    | ~ spl0_63
    | spl0_165 ),
    inference(resolution,[],[f516,f1255]) ).

fof(f1519,plain,
    ( spl0_112
    | spl0_113
    | ~ spl0_63
    | spl0_165 ),
    inference(avatar_split_clause,[],[f1509,f1254,f515,f753,f748]) ).

fof(f1520,plain,
    ( spl0_161
    | spl0_117
    | ~ spl0_63
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1508,f767,f515,f771,f1047]) ).

fof(f1521,plain,
    ( spl0_123
    | spl0_166
    | ~ spl0_63
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1507,f795,f515,f1342,f799]) ).

fof(f1524,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_63
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1506,f804,f515,f813,f809]) ).

fof(f1525,plain,
    ( spl0_162
    | spl0_128
    | ~ spl0_63
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1505,f818,f515,f823,f1147]) ).

fof(f1531,plain,
    ( spl0_164
    | ~ spl0_153
    | ~ spl0_56
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1317,f930,f474,f939,f1229]) ).

fof(f1537,plain,
    ( ~ spl0_93
    | ~ spl0_92
    | ~ spl0_25
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1062,f962,f337,f655,f659]) ).

fof(f1538,plain,
    ( spl0_86
    | ~ spl0_87
    | ~ spl0_54
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1282,f622,f462,f631,f627]) ).

fof(f1543,plain,
    ( spl0_49
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1286,f462,f459,f441]) ).

fof(f1545,plain,
    ( spl0_35
    | ~ spl0_24
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1271,f459,f333,f377]) ).

fof(f1583,plain,
    ( ~ spl0_120
    | spl0_118
    | ~ spl0_49
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1214,f781,f441,f776,f785]) ).

fof(f1587,plain,
    ( ~ c1_1(a8)
    | c2_1(a8)
    | ~ spl0_26
    | spl0_136 ),
    inference(resolution,[],[f861,f342]) ).

fof(f1590,plain,
    ( spl0_137
    | ~ spl0_138
    | ~ spl0_26
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1587,f860,f341,f869,f865]) ).

fof(f1615,plain,
    ( ~ c0_1(a13)
    | ~ c1_1(a13)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f378,f558]) ).

fof(f1620,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(resolution,[],[f386,f424]) ).

fof(f1623,plain,
    ( ~ c2_1(a7)
    | c1_1(a7)
    | ~ spl0_37
    | spl0_139 ),
    inference(resolution,[],[f386,f875]) ).

fof(f1627,plain,
    ( ~ c2_1(a40)
    | c1_1(a40)
    | ~ spl0_37
    | spl0_94 ),
    inference(resolution,[],[f386,f665]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1620]) ).

fof(f1632,plain,
    ( spl0_158
    | ~ spl0_96
    | ~ spl0_37
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1627,f664,f385,f673,f996]) ).

fof(f1633,plain,
    ( spl0_140
    | ~ spl0_163
    | ~ spl0_37
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1623,f874,f385,f1179,f879]) ).

fof(f1634,plain,
    ( spl0_60
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1630,f423,f385,f500]) ).

fof(f1637,plain,
    ( spl0_165
    | spl0_113
    | ~ spl0_55
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1297,f757,f469,f753,f1254]) ).

fof(f1656,plain,
    ( c1_1(a28)
    | ~ c2_1(a28)
    | ~ spl0_32
    | ~ spl0_107 ),
    inference(resolution,[],[f726,f365]) ).

fof(f1660,plain,
    ( ~ spl0_108
    | spl0_106
    | ~ spl0_32
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1656,f725,f364,f720,f729]) ).

fof(f1661,plain,
    ( spl0_86
    | ~ spl0_155
    | ~ spl0_52
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1239,f622,f454,f957,f627]) ).

fof(f1662,plain,
    ( spl0_49
    | ~ spl0_46
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1242,f454,f428,f441]) ).

fof(f1664,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_52
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1238,f664,f454,f673,f669]) ).

fof(f1666,plain,
    ( ~ spl0_158
    | spl0_95
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1215,f673,f441,f669,f996]) ).

fof(f1667,plain,
    ( spl0_158
    | spl0_95
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1420,f673,f500,f669,f996]) ).

fof(f1668,plain,
    ( ~ c0_1(a43)
    | ~ c1_1(a43)
    | ~ spl0_35
    | ~ spl0_156 ),
    inference(resolution,[],[f990,f378]) ).

fof(f1671,plain,
    ( ~ spl0_92
    | ~ spl0_93
    | ~ spl0_35
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1668,f962,f377,f659,f655]) ).

fof(f1674,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_40 ),
    inference(resolution,[],[f402,f346]) ).

fof(f1676,plain,
    ( c1_1(a3)
    | c2_1(a3)
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(resolution,[],[f402,f912]) ).

fof(f1677,plain,
    ( c1_1(a22)
    | c2_1(a22)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f402,f758]) ).

fof(f1683,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1674]) ).

fof(f1688,plain,
    ( spl0_165
    | spl0_112
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1677,f757,f401,f748,f1254]) ).

fof(f1689,plain,
    ( spl0_145
    | spl0_146
    | ~ spl0_40
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1676,f911,f401,f907,f902]) ).

fof(f1690,plain,
    ( spl0_41
    | ~ spl0_27
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1683,f401,f345,f406]) ).

fof(f1706,definition,
    ( spl0_173
  <=> c0_1(a28) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1714,plain,
    ( c0_1(a22)
    | ~ c2_1(a22)
    | ~ spl0_45
    | ~ spl0_114 ),
    inference(resolution,[],[f424,f758]) ).

fof(f1715,plain,
    ( c0_1(a28)
    | ~ c2_1(a28)
    | ~ spl0_45
    | ~ spl0_107 ),
    inference(resolution,[],[f424,f726]) ).

fof(f1724,plain,
    ( ~ spl0_108
    | spl0_173
    | ~ spl0_45
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1715,f725,f423,f1706,f729]) ).

fof(f1725,plain,
    ( ~ spl0_165
    | spl0_113
    | ~ spl0_45
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1714,f757,f423,f753,f1254]) ).

fof(f1734,plain,
    ( c0_1(a47)
    | ~ c1_1(a47)
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(resolution,[],[f429,f642]) ).

fof(f1735,plain,
    ( c0_1(a64)
    | ~ c1_1(a64)
    | ~ spl0_46
    | ~ spl0_80 ),
    inference(resolution,[],[f429,f600]) ).

fof(f1738,plain,
    ( ~ spl0_81
    | spl0_79
    | ~ spl0_46
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1735,f599,f428,f594,f603]) ).

fof(f1739,plain,
    ( ~ spl0_159
    | spl0_88
    | ~ spl0_46
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1734,f641,f428,f636,f1025]) ).

fof(f1740,plain,
    ( ~ spl0_154
    | ~ spl0_18
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1154,f532,f373,f313,f946]) ).

fof(f1744,plain,
    ( ~ spl0_154
    | ~ spl0_25
    | ~ spl0_35
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1186,f532,f377,f337,f946]) ).

fof(f1766,plain,
    ( c1_1(a28)
    | ~ c0_1(a28)
    | ~ spl0_38
    | ~ spl0_107 ),
    inference(resolution,[],[f392,f726]) ).

fof(f1775,plain,
    ( ~ spl0_173
    | spl0_106
    | ~ spl0_38
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1766,f725,f391,f720,f1706]) ).

fof(f1778,plain,
    ( ~ c0_1(a2)
    | c1_1(a2)
    | ~ spl0_41
    | spl0_148 ),
    inference(resolution,[],[f407,f917]) ).

fof(f1792,plain,
    ( spl0_149
    | ~ spl0_150
    | ~ spl0_41
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1778,f916,f406,f925,f921]) ).

fof(f1793,plain,
    ( spl0_49
    | ~ spl0_21
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1399,f423,f323,f441]) ).

fof(f1794,plain,
    ( ~ spl0_71
    | spl0_167
    | ~ spl0_45
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1369,f552,f423,f1375,f557]) ).

fof(f1796,plain,
    ( ~ spl0_72
    | ~ spl0_167
    | ~ spl0_18
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1371,f552,f313,f1375,f561]) ).

fof(f1797,plain,
    ( ~ spl0_72
    | spl0_167
    | ~ spl0_49
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1380,f557,f441,f1375,f561]) ).

fof(f1801,plain,
    ( ~ spl0_72
    | ~ spl0_167
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1615,f557,f377,f1375,f561]) ).

fof(f1802,plain,
    ( ~ spl0_164
    | ~ spl0_153
    | ~ spl0_25
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1222,f930,f337,f939,f1229]) ).

fof(f1804,plain,
    ( ~ spl0_153
    | ~ spl0_164
    | ~ spl0_18
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1226,f935,f313,f1229,f939]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s5,plain,
    ( spl0_7
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_6
    | spl0_12 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s7,plain,
    ( spl0_8
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s9,plain,
    ( spl0_12
    | ~ spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s13,plain,
    ( spl0_8
    | ~ spl0_17
    | spl0_26 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s14,plain,
    ( spl0_4
    | spl0_13
    | ~ spl0_17
    | spl0_27 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s16,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_27
    | spl0_30 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s17,plain,
    ( spl0_15
    | ~ spl0_17
    | spl0_21
    | spl0_27 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s18,plain,
    ( ~ spl0_17
    | spl0_24
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s19,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_17
    | spl0_33 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s22,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s23,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s25,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_26
    | spl0_37 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s30,plain,
    ( spl0_4
    | ~ spl0_17
    | spl0_32
    | spl0_39 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s31,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_35
    | spl0_40 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s32,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_34
    | spl0_40 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s33,plain,
    ( ~ spl0_17
    | spl0_31
    | spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s35,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_36
    | spl0_41 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s41,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s42,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_32
    | spl0_46 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s44,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s48,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s49,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_35
    | spl0_52 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s50,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s51,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_30
    | spl0_54 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s52,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_24
    | spl0_54 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s53,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_39
    | spl0_54 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s55,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_45
    | spl0_55 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s58,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s60,plain,
    ( spl0_6
    | ~ spl0_17
    | spl0_31
    | spl0_57 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s61,plain,
    ( spl0_7
    | spl0_11
    | ~ spl0_17
    | spl0_57 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s62,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_37
    | spl0_57 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s64,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_32
    | spl0_59 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s66,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s67,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s68,plain,
    ( ~ spl0_17
    | spl0_49
    | spl0_50
    | spl0_59 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s69,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s71,plain,
    ( ~ spl0_17
    | spl0_36
    | spl0_46
    | spl0_60 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s73,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s74,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_49
    | spl0_61 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s75,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s76,plain,
    ( spl0_5
    | ~ spl0_17
    | spl0_26
    | spl0_63 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s77,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_53
    | spl0_63 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s78,plain,
    ( ~ spl0_17
    | spl0_38
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s80,plain,
    ( ~ spl0_17
    | spl0_38
    | spl0_46
    | spl0_63 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s81,plain,
    ( ~ spl0_14
    | spl0_64 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s82,plain,
    ( ~ spl0_14
    | spl0_65 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s83,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s85,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s86,plain,
    ( ~ spl0_23
    | spl0_68 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s87,plain,
    ( ~ spl0_23
    | spl0_69 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | spl0_70 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | spl0_71 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s91,plain,
    ( ~ spl0_7
    | spl0_72 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s97,plain,
    ( ~ spl0_12
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s98,plain,
    ( ~ spl0_12
    | spl0_77 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s99,plain,
    ( ~ spl0_12
    | spl0_78 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s101,plain,
    ( ~ spl0_13
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s102,plain,
    ( ~ spl0_13
    | spl0_80 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s103,plain,
    ( ~ spl0_13
    | spl0_81 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s109,plain,
    ( ~ spl0_4
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s110,plain,
    ( ~ spl0_4
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | spl0_87 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | spl0_89 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | spl0_90 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s116,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s118,plain,
    ( ~ spl0_15
    | spl0_92 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s119,plain,
    ( ~ spl0_15
    | spl0_93 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s121,plain,
    ( ~ spl0_8
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s122,plain,
    ( ~ spl0_8
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s123,plain,
    ( ~ spl0_8
    | spl0_96 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s137,plain,
    ( ~ spl0_47
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s138,plain,
    ( ~ spl0_47
    | spl0_107 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s139,plain,
    ( ~ spl0_47
    | spl0_108 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s141,plain,
    ( ~ spl0_16
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s142,plain,
    ( ~ spl0_16
    | spl0_110 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s143,plain,
    ( ~ spl0_16
    | spl0_111 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s145,plain,
    ( ~ spl0_30
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s146,plain,
    ( ~ spl0_30
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s147,plain,
    ( ~ spl0_30
    | spl0_114 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s149,plain,
    ( ~ spl0_1
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s150,plain,
    ( ~ spl0_1
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s151,plain,
    ( ~ spl0_1
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s152,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s153,plain,
    ( ~ spl0_3
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s154,plain,
    ( ~ spl0_3
    | spl0_119 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s155,plain,
    ( ~ spl0_3
    | spl0_120 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s156,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s157,plain,
    ( ~ spl0_48
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s158,plain,
    ( ~ spl0_48
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s159,plain,
    ( ~ spl0_48
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s161,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s162,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s163,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s165,plain,
    ( ~ spl0_31
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s166,plain,
    ( ~ spl0_31
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s167,plain,
    ( ~ spl0_31
    | spl0_129 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s177,plain,
    ( ~ spl0_50
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s178,plain,
    ( ~ spl0_50
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s179,plain,
    ( ~ spl0_50
    | spl0_138 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s181,plain,
    ( ~ spl0_10
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s182,plain,
    ( ~ spl0_10
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s183,plain,
    ( ~ spl0_10
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s189,plain,
    ( ~ spl0_19
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s190,plain,
    ( ~ spl0_19
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s191,plain,
    ( ~ spl0_19
    | spl0_147 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s193,plain,
    ( ~ spl0_11
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s194,plain,
    ( ~ spl0_11
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s195,plain,
    ( ~ spl0_11
    | spl0_150 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s197,plain,
    ( ~ spl0_5
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s198,plain,
    ( ~ spl0_5
    | spl0_152 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s199,plain,
    ( ~ spl0_5
    | spl0_153 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s201,plain,
    ( ~ spl0_18
    | ~ spl0_64
    | ~ spl0_66
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s202,plain,
    ( ~ spl0_21
    | spl0_85
    | ~ spl0_87
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s204,plain,
    ( ~ spl0_18
    | ~ spl0_21
    | spl0_35 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s205,plain,
    ( ~ spl0_21
    | spl0_76
    | ~ spl0_77
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s206,plain,
    ( ~ spl0_24
    | spl0_76
    | ~ spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s209,plain,
    ( ~ spl0_26
    | spl0_85
    | ~ spl0_87
    | spl0_155 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s212,plain,
    ( ~ spl0_21
    | spl0_94
    | ~ spl0_96
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s219,plain,
    ( ~ spl0_18
    | spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s220,plain,
    ( ~ spl0_18
    | spl0_25
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s221,plain,
    ( ~ spl0_25
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s222,plain,
    ( ~ spl0_26
    | spl0_115
    | spl0_116
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s224,plain,
    ( ~ spl0_18
    | ~ spl0_24
    | spl0_35 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s226,plain,
    ( ~ spl0_33
    | ~ spl0_65
    | ~ spl0_66
    | spl0_154 ),
    inference(sat_conversion,[],[f1073]) ).

cnf(s227,plain,
    ( ~ spl0_33
    | ~ spl0_77
    | ~ spl0_78
    | spl0_157 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s228,plain,
    ( ~ spl0_35
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s229,plain,
    ( ~ spl0_35
    | ~ spl0_77
    | ~ spl0_78
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1093]) ).

cnf(s235,plain,
    ( ~ spl0_27
    | ~ spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s240,plain,
    ( ~ spl0_18
    | ~ spl0_34
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1155]) ).

cnf(s242,plain,
    ( ~ spl0_32
    | ~ spl0_89
    | ~ spl0_90
    | spl0_159 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s246,plain,
    ( ~ spl0_25
    | ~ spl0_35
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s247,plain,
    ( ~ spl0_45
    | spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s249,plain,
    ( ~ spl0_46
    | spl0_128
    | ~ spl0_129
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s251,plain,
    ( ~ spl0_49
    | spl0_88
    | ~ spl0_90
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s253,plain,
    ( ~ spl0_46
    | ~ spl0_152
    | ~ spl0_153
    | spl0_164 ),
    inference(sat_conversion,[],[f1231]) ).

cnf(s256,plain,
    ( ~ spl0_32
    | ~ spl0_52
    | spl0_60 ),
    inference(sat_conversion,[],[f1248]) ).

cnf(s257,plain,
    ( ~ spl0_32
    | spl0_112
    | ~ spl0_114
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s263,plain,
    ( ~ spl0_55
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s273,plain,
    ( ~ spl0_27
    | spl0_121
    | spl0_122
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s275,plain,
    ( ~ spl0_39
    | spl0_121
    | spl0_123
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1347]) ).

cnf(s278,plain,
    ( ~ spl0_57
    | spl0_115
    | spl0_116
    | spl0_117 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s279,plain,
    ( ~ spl0_57
    | spl0_121
    | spl0_122
    | spl0_166 ),
    inference(sat_conversion,[],[f1366]) ).

cnf(s280,plain,
    ( ~ spl0_57
    | spl0_139
    | spl0_141
    | spl0_163 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s283,plain,
    ( ~ spl0_53
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s286,plain,
    ( ~ spl0_59
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s287,plain,
    ( ~ spl0_59
    | spl0_128
    | ~ spl0_129
    | spl0_162 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s293,plain,
    ( ~ spl0_36
    | spl0_151
    | ~ spl0_152
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1445]) ).

cnf(s294,plain,
    ( ~ spl0_36
    | ~ spl0_39
    | spl0_41 ),
    inference(sat_conversion,[],[f1446]) ).

cnf(s297,plain,
    ( ~ spl0_61
    | spl0_115
    | spl0_117
    | spl0_161 ),
    inference(sat_conversion,[],[f1461]) ).

cnf(s298,plain,
    ( ~ spl0_61
    | spl0_121
    | spl0_123
    | spl0_166 ),
    inference(sat_conversion,[],[f1462]) ).

cnf(s299,plain,
    ( ~ spl0_61
    | spl0_139
    | spl0_140
    | spl0_141 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s300,plain,
    ( ~ spl0_32
    | spl0_60
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s301,plain,
    ( ~ spl0_45
    | spl0_60
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f1465]) ).

cnf(s303,plain,
    ( ~ spl0_62
    | spl0_151
    | ~ spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s307,plain,
    ( ~ spl0_63
    | spl0_112
    | spl0_113
    | spl0_165 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s308,plain,
    ( ~ spl0_63
    | spl0_116
    | spl0_117
    | spl0_161 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s309,plain,
    ( ~ spl0_63
    | spl0_122
    | spl0_123
    | spl0_166 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s310,plain,
    ( ~ spl0_63
    | spl0_124
    | spl0_125
    | spl0_126 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s311,plain,
    ( ~ spl0_63
    | spl0_127
    | spl0_128
    | spl0_162 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s316,plain,
    ( ~ spl0_56
    | spl0_151
    | ~ spl0_153
    | spl0_164 ),
    inference(sat_conversion,[],[f1531]) ).

cnf(s323,plain,
    ( ~ spl0_25
    | ~ spl0_92
    | ~ spl0_93
    | spl0_156 ),
    inference(sat_conversion,[],[f1537]) ).

cnf(s324,plain,
    ( ~ spl0_54
    | spl0_85
    | spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s329,plain,
    ( spl0_49
    | ~ spl0_53
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1543]) ).

cnf(s331,plain,
    ( ~ spl0_24
    | spl0_35
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1545]) ).

cnf(s345,plain,
    ( ~ spl0_49
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s348,plain,
    ( ~ spl0_26
    | spl0_136
    | spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s353,plain,
    ( ~ spl0_37
    | spl0_94
    | ~ spl0_96
    | spl0_158 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s354,plain,
    ( ~ spl0_37
    | spl0_139
    | spl0_140
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s355,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s359,plain,
    ( ~ spl0_55
    | spl0_113
    | ~ spl0_114
    | spl0_165 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s371,plain,
    ( ~ spl0_32
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s372,plain,
    ( ~ spl0_52
    | spl0_85
    | spl0_86
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s374,plain,
    ( ~ spl0_46
    | spl0_49
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s376,plain,
    ( ~ spl0_52
    | spl0_94
    | spl0_95
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s379,plain,
    ( ~ spl0_49
    | spl0_95
    | ~ spl0_96
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s380,plain,
    ( ~ spl0_60
    | spl0_95
    | ~ spl0_96
    | spl0_158 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s382,plain,
    ( ~ spl0_35
    | ~ spl0_92
    | ~ spl0_93
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s386,plain,
    ( ~ spl0_40
    | spl0_112
    | ~ spl0_114
    | spl0_165 ),
    inference(sat_conversion,[],[f1688]) ).

cnf(s387,plain,
    ( ~ spl0_40
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s388,plain,
    ( ~ spl0_27
    | ~ spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s392,plain,
    ( ~ spl0_45
    | ~ spl0_107
    | ~ spl0_108
    | spl0_173 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s393,plain,
    ( ~ spl0_45
    | spl0_113
    | ~ spl0_114
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s395,plain,
    ( ~ spl0_46
    | spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s396,plain,
    ( ~ spl0_46
    | spl0_88
    | ~ spl0_89
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s398,plain,
    ( ~ spl0_18
    | ~ spl0_34
    | ~ spl0_66
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s403,plain,
    ( ~ spl0_25
    | ~ spl0_35
    | ~ spl0_66
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1744]) ).

cnf(s406,plain,
    ( ~ spl0_38
    | spl0_106
    | ~ spl0_107
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s408,plain,
    ( ~ spl0_41
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s409,plain,
    ( ~ spl0_21
    | ~ spl0_45
    | spl0_49 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s411,plain,
    ( ~ spl0_45
    | ~ spl0_70
    | ~ spl0_71
    | spl0_167 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s413,plain,
    ( ~ spl0_18
    | ~ spl0_70
    | ~ spl0_72
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s414,plain,
    ( ~ spl0_49
    | ~ spl0_71
    | ~ spl0_72
    | spl0_167 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s418,plain,
    ( ~ spl0_35
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s419,plain,
    ( ~ spl0_25
    | spl0_151
    | ~ spl0_153
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s421,plain,
    ( ~ spl0_18
    | ~ spl0_152
    | ~ spl0_153
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s423,plain,
    ( ~ spl0_48
    | ~ spl0_27
    | ~ spl0_61 ),
    inference(rat,[],[s273,s298,s157,s158,s159]) ).

cnf(s424,plain,
    ( ~ spl0_50
    | ~ spl0_26 ),
    inference(rat,[],[s348,s177,s178,s179]) ).

cnf(s425,plain,
    ( spl0_30
    | ~ spl0_61
    | ~ spl0_7
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s43,s395,s411,s101,s102,s103,s413,s14,s16,s423,s44,s156,s345,s153,s154,s155,s91,s90,s89]) ).

cnf(s426,plain,
    ( ~ spl0_30
    | ~ spl0_59 ),
    inference(rat,[],[s145,s286,s146,s147]) ).

cnf(s427,plain,
    ( ~ spl0_27
    | spl0_41
    | spl0_121
    | spl0_122
    | spl0_123
    | ~ spl0_59
    | spl0_6
    | ~ spl0_17 ),
    inference(rat,[],[s249,s287,s166,s167,s60,s80,s279,s309,s235,s273]) ).

cnf(s428,plain,
    ( ~ spl0_59
    | spl0_6
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s43,s395,s411,s101,s102,s103,s413,s14,s16,s427,s408,s193,s194,s195,s74,s157,s158,s159,s425,s44,s426,s156,s345,s153,s154,s155,s91,s90,s89,s3]) ).

cnf(s429,plain,
    ( ~ spl0_30
    | ~ spl0_63
    | spl0_24
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s311,s249,s165,s166,s167,s18,s43,s257,s393,s307,s145,s146,s147]) ).

cnf(s430,plain,
    ( spl0_6
    | spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s30,s275,s371,s309,s137,s138,s139,s157,s158,s159,s48,s44,s429,s376,s121,s122,s123,s13,s76,s424,s68,s428,s206,s97,s98,s99,s6,s156,s345,s153,s154,s155]) ).

cnf(s431,plain,
    ( spl0_11
    | spl0_30
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s299,s181,s182,s183,s5,s425,s74,s156,s345,s153,s154,s155]) ).

cnf(s432,plain,
    ( ~ spl0_61
    | ~ spl0_48
    | spl0_4
    | ~ spl0_17 ),
    inference(rat,[],[s371,s137,s138,s139,s41,s395,s30,s101,s102,s103,s275,s14,s298,s423,s159,s157]) ).

cnf(s433,plain,
    ( spl0_46
    | spl0_41
    | spl0_63
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s371,s137,s138,s139,s42,s41,s409,s235,s43,s80,s156,s345,s153,s154,s155]) ).

cnf(s434,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s249,s287,s166,s167,s33,s371,s137,s138,s139,s48,s374,s433,s408,s193,s194,s195,s431,s426,s68,s424,s76,s310,s161,s162,s163,s430,s156,s345,s153,s154,s155]) ).

cnf(s435,plain,
    ( spl0_59
    | spl0_41
    | spl0_30
    | spl0_151
    | ~ spl0_152
    | ~ spl0_153
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s235,s16,s78,s421,s309,s316,s275,s69,s30,s371,s137,s138,s139,s48,s376,s121,s122,s123,s13,s424,s68,s303,s159,s158,s157,s44,s156,s345,s153,s154,s155]) ).

cnf(s436,plain,
    ( spl0_30
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s421,s16,s253,s235,s433,s78,s310,s161,s162,s163,s428,s435,s408,s193,s194,s195,s431,s156,s303,s197,s198,s199,s434]) ).

cnf(s437,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | ~ spl0_45 ),
    inference(rat,[],[s411,s418,s89,s90,s91]) ).

cnf(s438,plain,
    ( spl0_11
    | spl0_59
    | spl0_112
    | spl0_113
    | ~ spl0_114
    | spl0_151
    | ~ spl0_153
    | spl0_4
    | spl0_49
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s299,s181,s182,s183,s5,s437,s31,s386,s393,s66,s419,s316,s58,s432,s74]) ).

cnf(s439,plain,
    ( spl0_6
    | spl0_41
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s66,s437,s419,s49,s253,s235,s433,s78,s429,s206,s97,s98,s99,s3,s6,s303,s197,s198,s199,s434,s376,s121,s122,s123,s13,s424,s68,s426,s436,s345,s153,s154,s155,s156]) ).

cnf(s440,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s395,s101,s102,s103,s14,s235,s433,s78,s310,s161,s162,s163,s439,s408,s193,s194,s195,s438,s426,s145,s146,s147,s436,s303,s197,s198,s199,s434,s156,s345,s153,s154,s155,s1]) ).

cnf(s441,plain,
    ( spl0_26
    | spl0_30
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s253,s433,s421,s408,s198,s199,s193,s194,s195,s76,s74,s309,s298,s275,s53,s51,s324,s109,s110,s111,s440,s159,s158,s157,s44,s156,s345,s153,s154,s155,s1]) ).

cnf(s442,plain,
    ( spl0_27
    | spl0_21
    | spl0_52
    | ~ spl0_25
    | ~ spl0_17 ),
    inference(rat,[],[s323,s382,s118,s119,s17,s49]) ).

cnf(s443,plain,
    ( spl0_30
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s249,s287,s166,s167,s33,s408,s193,s194,s195,s74,s423,s442,s42,s371,s137,s138,s139,s48,s202,s372,s68,s219,s209,s424,s441,s51,s44,s156,s345,s153,s154,s155,s1,s324,s109,s110,s111,s440]) ).

cnf(s444,plain,
    ( ~ spl0_10
    | ~ spl0_61 ),
    inference(rat,[],[s299,s181,s182,s183]) ).

cnf(s445,plain,
    ( ~ spl0_40
    | spl0_59
    | spl0_112
    | ~ spl0_114
    | ~ spl0_17 ),
    inference(rat,[],[s387,s189,s190,s191,s64,s257,s386]) ).

cnf(s446,plain,
    ( ~ spl0_7
    | ~ spl0_35
    | spl0_59
    | spl0_54
    | ~ spl0_17 ),
    inference(rat,[],[s246,s86,s87,s50,s66,s283,s437,s89,s90,s91]) ).

cnf(s447,plain,
    ( spl0_11
    | spl0_7
    | spl0_49
    | ~ spl0_17 ),
    inference(rat,[],[s444,s5,s74]) ).

cnf(s448,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s227,s229,s98,s99,s9,s421,s35,s253,s294,s433,s408,s193,s194,s195,s447,s198,s199,s76,s310,s161,s162,s163,s3,s446,s31,s445,s53,s424,s68,s426,s145,s147,s443,s324,s109,s110,s111,s440,s345,s153,s154,s155,s156,s1]) ).

cnf(s449,plain,
    ( ~ spl0_61
    | ~ spl0_18
    | spl0_54
    | spl0_85
    | ~ spl0_87
    | ~ spl0_48
    | spl0_52
    | ~ spl0_17 ),
    inference(rat,[],[s442,s202,s219,s209,s53,s275,s298,s423,s159,s157]) ).

cnf(s450,plain,
    ( spl0_30
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s32,s387,s240,s189,s190,s191,s86,s87,s64,s55,s287,s263,s249,s165,s166,s167,s33,s408,s193,s194,s195,s74,s449,s51,s324,s109,s110,s111,s436,s44,s242,s396,s374,s345,s153,s154,s155,s43,s247,s113,s114,s115,s116,s448]) ).

cnf(s451,plain,
    ( ~ spl0_5
    | ~ spl0_25
    | ~ spl0_46 ),
    inference(rat,[],[s419,s253,s197,s198,s199]) ).

cnf(s452,plain,
    ( ~ spl0_7
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s206,s97,s98,s99,s9,s224,s446,s429,s77,s283,s89,s90,s91,s242,s396,s324,s109,s110,s111,s434,s451,s66,s426,s450,s43,s247,s113,s114,s115,s116,s448]) ).

cnf(s453,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s310,s161,s162,s163,s3,s76,s452,s451,s424,s66,s68,s426,s450,s345,s153,s154,s155,s43,s247,s113,s114,s115,s116,s448]) ).

cnf(s454,plain,
    ( spl0_49
    | spl0_54
    | spl0_5
    | spl0_59
    | spl0_30
    | ~ spl0_17 ),
    inference(rat,[],[s275,s309,s53,s76,s424,s157,s158,s159,s68,s44]) ).

cnf(s455,plain,
    ( ~ spl0_7
    | ~ spl0_49
    | ~ spl0_18 ),
    inference(rat,[],[s413,s414,s89,s90,s91]) ).

cnf(s456,plain,
    ( spl0_11
    | spl0_7
    | ~ spl0_37
    | ~ spl0_17 ),
    inference(rat,[],[s354,s280,s181,s182,s183,s5,s61]) ).

cnf(s457,plain,
    ( spl0_59
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s240,s86,s87,s55,s263,s165,s166,s167,s33,s408,s193,s194,s195,s456,s455,s454,s51,s324,s32,s109,s110,s111,s387,s2,s189,s190,s191,s451,s64,s67,s66,s242,s396,s43,s247,s116,s113,s115,s114,s448,s453]) ).

cnf(s458,plain,
    ( ~ spl0_61
    | ~ spl0_48
    | spl0_52
    | spl0_30
    | ~ spl0_17 ),
    inference(rat,[],[s449,s324,s109,s110,s111,s16,s432,s423]) ).

cnf(s459,plain,
    ( ~ spl0_31
    | ~ spl0_59
    | ~ spl0_46 ),
    inference(rat,[],[s287,s249,s166,s167]) ).

cnf(s460,plain,
    ( ~ spl0_11
    | ~ spl0_41 ),
    inference(rat,[],[s408,s193,s194,s195]) ).

cnf(s461,plain,
    ( spl0_49
    | spl0_30
    | spl0_1 ),
    inference(rat,[],[s458,s74,s44,s374,s460,s33,s459,s457,s242,s396,s43,s247,s113,s115,s114,s116,s448]) ).

cnf(s462,plain,
    ( ~ spl0_12
    | ~ spl0_24 ),
    inference(rat,[],[s206,s97,s98,s99]) ).

cnf(s467,plain,
    ( ~ spl0_13
    | ~ spl0_46 ),
    inference(rat,[],[s395,s101,s102,s103]) ).

cnf(s468,plain,
    ( ~ spl0_15
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s323,s382,s118,s119]) ).

cnf(s469,plain,
    ( spl0_30
    | spl0_1 ),
    inference(rat,[],[s221,s141,s142,s143,s8,s468,s219,s25,s456,s455,s224,s9,s462,s461,s460,s33,s18,s459,s457,s242,s396,s43,s247,s116,s113,s115,s114,s448]) ).

cnf(s470,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(rat,[],[s9,s224,s462,s429,s77,s283,s446,s89,s90,s91,s242,s396,s324,s109,s110,s111,s2,s451,s66,s426,s469,s43,s247,s113,s114,s115,s116,s448,s453]) ).

cnf(s471,plain,
    spl0_1,
    inference(rat,[],[s221,s141,s142,s143,s52,s331,s246,s86,s87,s55,s263,s165,s166,s167,s77,s33,s310,s460,s161,s162,s163,s456,s3,s470,s324,s109,s110,s111,s2,s451,s67,s66,s426,s469,s453,s242,s396,s43,s247,s113,s114,s115,s116,s448]) ).

cnf(s472,plain,
    spl0_17,
    inference(rat,[],[s152,s471]) ).

cnf(s473,plain,
    ~ spl0_117,
    inference(rat,[],[s151,s471]) ).

cnf(s474,plain,
    ~ spl0_116,
    inference(rat,[],[s150,s471]) ).

cnf(s475,plain,
    ~ spl0_115,
    inference(rat,[],[s149,s471]) ).

cnf(s476,plain,
    ~ spl0_57,
    inference(rat,[],[s278,s473,s474,s475]) ).

cnf(s477,plain,
    ( ~ spl0_2
    | ~ spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s396,s242,s113,s114,s115]) ).

cnf(s478,plain,
    ( spl0_49
    | ~ spl0_46
    | spl0_11
    | spl0_30 ),
    inference(rat,[],[s458,s74,s44,s374,s472]) ).

cnf(s479,plain,
    ( ~ spl0_4
    | ~ spl0_54 ),
    inference(rat,[],[s324,s109,s110,s111]) ).

cnf(s480,plain,
    ( ~ spl0_3
    | ~ spl0_49 ),
    inference(rat,[],[s345,s153,s154,s155]) ).

cnf(s481,plain,
    ( ~ spl0_19
    | ~ spl0_40 ),
    inference(rat,[],[s387,s189,s190,s191]) ).

cnf(s482,plain,
    ( ~ spl0_46
    | spl0_11
    | ~ spl0_59 ),
    inference(rat,[],[s380,s379,s122,s123,s13,s222,s300,s297,s73,s481,s303,s197,s198,s199,s2,s480,s479,s31,s418,s51,s414,s455,s478,s477,s77,s310,s161,s162,s163,s60,s459,s426,s283,s90,s91,s89,s61,s472,s474,s475,s473,s476]) ).

cnf(s483,plain,
    ( spl0_32
    | spl0_76
    | ~ spl0_77
    | ~ spl0_78
    | spl0_35
    | spl0_46 ),
    inference(rat,[],[s227,s205,s22,s42,s472]) ).

cnf(s484,plain,
    ( ~ spl0_2
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(rat,[],[s251,s242,s113,s114,s115]) ).

cnf(s485,plain,
    ( ~ spl0_49
    | spl0_46
    | ~ spl0_7
    | spl0_30 ),
    inference(rat,[],[s380,s379,s122,s123,s13,s222,s300,s297,s73,s481,s31,s484,s483,s303,s197,s198,s199,s2,s479,s97,s98,s99,s418,s51,s9,s480,s414,s455,s91,s90,s472,s474,s475,s473]) ).

cnf(s486,plain,
    ( spl0_11
    | ~ spl0_59 ),
    inference(rat,[],[s53,s275,s222,s479,s298,s297,s432,s157,s159,s74,s44,s485,s482,s61,s426,s472,s474,s475,s473,s476]) ).

cnf(s487,plain,
    ( ~ spl0_47
    | ~ spl0_32 ),
    inference(rat,[],[s371,s137,s138,s139]) ).

cnf(s488,plain,
    ( ~ spl0_8
    | ~ spl0_49
    | ~ spl0_60 ),
    inference(rat,[],[s380,s379,s122,s123]) ).

cnf(s489,plain,
    ( ~ spl0_49
    | ~ spl0_46
    | ~ spl0_59 ),
    inference(rat,[],[s229,s31,s227,s388,s98,s99,s16,s9,s201,s226,s81,s82,s83,s7,s488,s19,s480,s467,s477,s256,s48,s487,s426,s33,s459,s460,s486,s472]) ).

cnf(s490,plain,
    ( ~ spl0_46
    | ~ spl0_59 ),
    inference(rat,[],[s374,s489,s48,s487,s33,s459,s426,s460,s486,s472]) ).

cnf(s491,plain,
    ( ~ spl0_38
    | ~ spl0_59 ),
    inference(rat,[],[s228,s85,s86,s87,s55,s263,s165,s166,s167,s204,s392,s33,s42,s406,s487,s137,s138,s139,s41,s16,s235,s426,s460,s486,s490,s472]) ).

cnf(s492,plain,
    ~ spl0_59,
    inference(rat,[],[s479,s30,s53,s294,s71,s380,s212,s42,s487,s48,s376,s121,s122,s123,s13,s222,s308,s80,s491,s490,s460,s486,s426,s472,s474,s475,s473]) ).

cnf(s493,plain,
    ( ~ spl0_7
    | spl0_32
    | ~ spl0_49
    | ~ spl0_46 ),
    inference(rat,[],[s311,s249,s165,s166,s167,s18,s462,s77,s9,s283,s455,s89,s90,s91,s472]) ).

cnf(s494,plain,
    ( ~ spl0_23
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(rat,[],[s240,s86,s87]) ).

cnf(s495,plain,
    ( ~ spl0_2
    | ~ spl0_45 ),
    inference(rat,[],[s247,s113,s114,s115]) ).

cnf(s496,plain,
    ( ~ spl0_14
    | ~ spl0_33
    | ~ spl0_18
    | ~ spl0_34 ),
    inference(rat,[],[s226,s398,s82,s83]) ).

cnf(s497,plain,
    ( ~ spl0_18
    | spl0_32
    | ~ spl0_49
    | ~ spl0_46 ),
    inference(rat,[],[s202,s209,s109,s111,s2,s76,s451,s220,s62,s75,s355,s301,s488,s7,s496,s19,s495,s55,s494,s467,s480,s32,s481,s64,s310,s161,s162,s163,s3,s263,s165,s167,s166,s33,s460,s61,s493,s472,s476,s492]) ).

cnf(s498,plain,
    ( spl0_32
    | ~ spl0_49
    | spl0_30
    | ~ spl0_46 ),
    inference(rat,[],[s303,s197,s198,s199,s78,s2,s235,s479,s16,s51,s497,s310,s460,s161,s162,s163,s61,s3,s493,s480,s472,s476]) ).

cnf(s499,plain,
    ( ~ spl0_49
    | spl0_30
    | ~ spl0_46 ),
    inference(rat,[],[s73,s481,s303,s31,s197,s198,s199,s229,s2,s227,s479,s98,s99,s51,s9,s201,s226,s297,s81,s82,s83,s222,s7,s13,s488,s256,s48,s19,s487,s477,s498,s480,s467,s472,s473,s475,s474]) ).

cnf(s500,plain,
    ( spl0_30
    | ~ spl0_46 ),
    inference(rat,[],[s421,s253,s51,s198,s199,s329,s76,s77,s311,s249,s165,s166,s167,s33,s487,s460,s424,s48,s478,s68,s374,s499,s492,s472]) ).

cnf(s501,plain,
    ( ~ spl0_25
    | spl0_24
    | spl0_3
    | ~ spl0_46 ),
    inference(rat,[],[s221,s141,s142,s143,s52,s479,s2,s451,s472]) ).

cnf(s502,plain,
    ( ~ spl0_49
    | spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s229,s31,s227,s495,s23,s66,s501,s462,s98,s99,s9,s497,s480,s445,s145,s147,s500,s472,s492]) ).

cnf(s503,plain,
    ( ~ spl0_6
    | ~ spl0_63 ),
    inference(rat,[],[s310,s161,s162,s163]) ).

cnf(s504,plain,
    ( spl0_45
    | spl0_23
    | spl0_26
    | ~ spl0_46 ),
    inference(rat,[],[s263,s165,s166,s167,s60,s503,s76,s451,s66,s55,s472,s476,s492]) ).

cnf(s505,plain,
    ( ~ spl0_18
    | spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s421,s253,s198,s199,s76,s307,s393,s504,s494,s146,s32,s445,s145,s147,s500,s424,s68,s502,s472,s492]) ).

cnf(s506,plain,
    ( spl0_32
    | ~ spl0_46 ),
    inference(rat,[],[s229,s31,s227,s495,s23,s66,s451,s76,s311,s249,s165,s166,s167,s18,s462,s98,s99,s9,s505,s424,s68,s502,s445,s145,s147,s500,s472,s492]) ).

cnf(s507,plain,
    ( ~ spl0_23
    | ~ spl0_25
    | ~ spl0_35 ),
    inference(rat,[],[s246,s86,s87]) ).

cnf(s508,plain,
    ( spl0_5
    | ~ spl0_49
    | ~ spl0_18
    | ~ spl0_46 ),
    inference(rat,[],[s226,s403,s82,s83,s7,s488,s355,s55,s507,s62,s202,s209,s109,s111,s219,s2,s76,s467,s31,s445,s359,s307,s257,s147,s146,s145,s500,s19,s480,s477,s506,s472,s476,s492]) ).

cnf(s509,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | ~ spl0_46 ),
    inference(rat,[],[s421,s253,s198,s199]) ).

cnf(s510,plain,
    ( ~ spl0_18
    | ~ spl0_46 ),
    inference(rat,[],[s68,s424,s508,s76,s509,s307,s257,s506,s147,s146,s145,s500,s472,s492]) ).

cnf(s511,plain,
    ~ spl0_46,
    inference(rat,[],[s460,s61,s35,s437,s293,s66,s253,s451,s197,s198,s199,s76,s424,s68,s480,s19,s227,s229,s98,s99,s9,s510,s307,s31,s257,s477,s506,s445,s145,s146,s147,s500,s472,s476,s492]) ).

cnf(s512,plain,
    ( spl0_7
    | ~ spl0_18 ),
    inference(rat,[],[s55,s507,s263,s66,s165,s166,s167,s204,s392,s33,s42,s406,s487,s137,s138,s139,s41,s235,s80,s460,s503,s61,s3,s472,s492,s511,s476]) ).

cnf(s513,plain,
    ~ spl0_18,
    inference(rat,[],[s58,s423,s316,s74,s421,s460,s197,s198,s199,s235,s76,s80,s307,s257,s145,s146,s147,s48,s487,s442,s42,s212,s353,s376,s121,s122,s123,s13,s67,s66,s424,s411,s68,s413,s455,s89,s90,s91,s512,s472,s511,s492]) ).

cnf(s514,plain,
    spl0_12,
    inference(rat,[],[s9,s472,s513]) ).

cnf(s515,plain,
    spl0_78,
    inference(rat,[],[s99,s514]) ).

cnf(s516,plain,
    spl0_77,
    inference(rat,[],[s98,s514]) ).

cnf(s517,plain,
    ~ spl0_76,
    inference(rat,[],[s97,s514]) ).

cnf(s518,plain,
    ~ spl0_24,
    inference(rat,[],[s462,s514]) ).

cnf(s519,plain,
    ( spl0_32
    | spl0_3 ),
    inference(rat,[],[s55,s495,s507,s19,s23,s263,s227,s165,s166,s167,s205,s18,s483,s42,s472,s515,s516,s517,s518,s511]) ).

cnf(s520,plain,
    ~ spl0_49,
    inference(rat,[],[s386,s257,s145,s147,s485,s61,s460,s388,s31,s229,s227,s41,s19,s487,s484,s519,s480,s511,s472,s476,s516,s515]) ).

cnf(s521,plain,
    spl0_50,
    inference(rat,[],[s68,s492,s472,s520]) ).

cnf(s525,plain,
    ~ spl0_26,
    inference(rat,[],[s424,s521]) ).

cnf(s526,plain,
    spl0_8,
    inference(rat,[],[s13,s472,s525]) ).

cnf(s527,plain,
    spl0_96,
    inference(rat,[],[s123,s526]) ).

cnf(s528,plain,
    ~ spl0_95,
    inference(rat,[],[s122,s526]) ).

cnf(s529,plain,
    ~ spl0_94,
    inference(rat,[],[s121,s526]) ).

cnf(s530,plain,
    ~ spl0_52,
    inference(rat,[],[s376,s527,s528,s529]) ).

cnf(s531,plain,
    ~ spl0_21,
    inference(rat,[],[s353,s67,s212,s409,s527,s529,s472,s492,s520]) ).

cnf(s533,plain,
    spl0_32,
    inference(rat,[],[s42,s511,s472,s531]) ).

cnf(s535,plain,
    ~ spl0_47,
    inference(rat,[],[s487,s533]) ).

cnf(s536,plain,
    spl0_27,
    inference(rat,[],[s41,s511,s472,s535]) ).

cnf(s537,plain,
    spl0_30,
    inference(rat,[],[s48,s530,s472,s535]) ).

cnf(s539,plain,
    spl0_114,
    inference(rat,[],[s147,s537]) ).

cnf(s540,plain,
    ~ spl0_113,
    inference(rat,[],[s146,s537]) ).

cnf(s541,plain,
    ~ spl0_112,
    inference(rat,[],[s145,s537]) ).

cnf(s542,plain,
    ~ spl0_165,
    inference(rat,[],[s257,s541,s533,s539]) ).

cnf(s543,plain,
    ~ spl0_40,
    inference(rat,[],[s445,s472,s539,s492,s541]) ).

cnf(s545,plain,
    ~ spl0_63,
    inference(rat,[],[s307,s541,s540,s542]) ).

cnf(s546,plain,
    spl0_38,
    inference(rat,[],[s80,s511,s472,s545]) ).

cnf(s548,plain,
    spl0_5,
    inference(rat,[],[s76,s525,s472,s545]) ).

cnf(s549,plain,
    spl0_41,
    inference(rat,[],[s235,s536,s546]) ).

cnf(s551,plain,
    spl0_153,
    inference(rat,[],[s199,s548]) ).

cnf(s553,plain,
    ~ spl0_151,
    inference(rat,[],[s197,s548]) ).

cnf(s554,plain,
    ~ spl0_11,
    inference(rat,[],[s460,s549]) ).

cnf(s556,plain,
    spl0_7,
    inference(rat,[],[s61,s476,s472,s554]) ).

cnf(s557,plain,
    spl0_61,
    inference(rat,[],[s74,s520,s472,s554]) ).

cnf(s562,plain,
    ~ spl0_48,
    inference(rat,[],[s423,s536,s557]) ).

cnf(s565,plain,
    spl0_56,
    inference(rat,[],[s58,s554,s472,s562]) ).

cnf(s566,plain,
    spl0_164,
    inference(rat,[],[s316,s553,s551,s565]) ).

cnf(s567,plain,
    ~ spl0_25,
    inference(rat,[],[s419,s553,s551,s566]) ).

cnf(s569,plain,
    spl0_45,
    inference(rat,[],[s66,s492,s472,s567]) ).

cnf(s572,plain,
    ~ spl0_2,
    inference(rat,[],[s495,s569]) ).

cnf(s573,plain,
    ~ spl0_35,
    inference(rat,[],[s437,s556,s569]) ).

cnf(s581,plain,
    $false,
    inference(rat,[],[s31,s472,s543,s572,s573]) ).

fof(f1805,plain,
    $false,
    inference(avatar_sat_refutation,[],[s581]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN500+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n006.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Mon Sep 28 16:17:10 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  Running first-order theorem proving
% 0.09/0.20  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.18/1.10  % (4089192)Detected formulas, will run a generic FOF schedule.
% 3.18/1.10  % (4089201)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3862619499:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.18/1.10  % (4089201)Instruction limit reached! 
% 3.18/1.10  % (4089201)------------------------------
% 3.18/1.10  % (4089201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.10  % (4089201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.10  % (4089201)CaDiCaL version: 2.1.3
% 3.18/1.10  % (4089201)Termination reason: Instruction limit
% 3.18/1.10  % (4089201)Termination phase: Saturation
% 3.18/1.10  % (4089201)Time elapsed: 0.030 s
% 3.18/1.10  % (4089201)Peak memory usage: 88 MB
% 3.18/1.10  % (4089201)Instructions burned: 120 (million)
% 3.18/1.10  % (4089199)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2848756799:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.18/1.10  % (4089200)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1723569890:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.18/1.10  % (4089197)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=627976499:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.18/1.10  % (4089198)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4207803234:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.18/1.10  % (4089203)dis-21_1_sil=8000:lcm=predicate:random_seed=1416983696:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.18/1.10  % (4089202)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1759405714:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.18/1.10  % (4089203)First to succeed.
% 3.18/1.10  % (4089203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4089192"
% 3.18/1.10  % (4089200)Instruction limit reached! 
% 3.18/1.10  % (4089200)------------------------------
% 3.18/1.10  % (4089200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.10  % (4089200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.10  % (4089200)CaDiCaL version: 2.1.3
% 3.18/1.10  % (4089200)Termination reason: Instruction limit
% 3.18/1.10  % (4089200)Termination phase: Saturation
% 3.18/1.10  % (4089200)Time elapsed: 0.070 s
% 3.18/1.10  % (4089200)Peak memory usage: 91 MB
% 3.18/1.10  % (4089200)Instructions burned: 109 (million)
% 3.18/1.10  % (4089202)Also succeeded, but the first one will report.
% 3.18/1.10  % (4089209)lrs+10_1_sil=8000:sp=occurrence:random_seed=2707314658:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.18/1.10  % (4089209)Also succeeded, but the first one will report.
% 3.18/1.10  % (4089212)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1463489054:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.18/1.10  % (4089212)Also succeeded, but the first one will report.
% 3.18/1.10  % (4089203)Refutation found. Thanks to Tanya!
% 3.18/1.10  % SZS status Theorem for theBenchmark
% 3.18/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.20  % (4089203)------------------------------
% 3.69/1.20  % (4089203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.20  % (4089203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.20  % (4089203)CaDiCaL version: 2.1.3
% 3.69/1.20  % (4089203)Termination reason: Refutation
% 3.69/1.20  % (4089203)Time elapsed: 0.033 s
% 3.69/1.20  % (4089203)Peak memory usage: 90 MB
% 3.69/1.20  % (4089203)Instructions burned: 55 (million)
% 3.69/1.20  % (4089203)------------------------------
% 3.69/1.20  % (4089203)------------------------------
% 3.69/1.20  % (4089192)Success in time 0.458 s
% 3.69/1.20  % Vampire exiting
%------------------------------------------------------------------------------