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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN512+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:17:04 PM UTC 2026

% Result   : Theorem 0.23s 0.37s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a828)
          & c2_1(a828)
          & ~ c0_1(a828) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a829)
          & ~ c1_1(a829)
          & ~ c3_1(a829) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a830)
          & ~ c1_1(a830)
          & ~ c2_1(a830) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a831)
          & c3_1(a831)
          & ~ c1_1(a831) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a832)
          & ~ c2_1(a832)
          & ~ c3_1(a832) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a833)
          & c2_1(a833)
          & ~ c3_1(a833) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a835)
          & ~ c2_1(a835)
          & ~ c3_1(a835) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a836)
          & c3_1(a836)
          & ~ c1_1(a836) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a838)
          & ~ c2_1(a838)
          & ~ c3_1(a838) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a841)
          & c1_1(a841)
          & ~ c2_1(a841) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a843)
          & ~ c0_1(a843)
          & ~ c3_1(a843) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a844)
          & ~ c1_1(a844)
          & ~ c2_1(a844) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a845)
          & ~ c0_1(a845)
          & ~ c1_1(a845) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a846)
          & ~ c0_1(a846)
          & ~ c2_1(a846) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a851)
          & c2_1(a851)
          & ~ c3_1(a851) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a853)
          & c3_1(a853)
          & ~ c0_1(a853) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c0_1(a858)
          & ~ c1_1(a858)
          & ~ c2_1(a858) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a859)
          & ~ c1_1(a859)
          & ~ c3_1(a859) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a861)
          & c2_1(a861)
          & ~ c1_1(a861) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a863)
          & c3_1(a863)
          & ~ c2_1(a863) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a864)
          & ~ c0_1(a864)
          & ~ c2_1(a864) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a865)
          & ~ c0_1(a865)
          & ~ c1_1(a865) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a866)
          & c1_1(a866)
          & ~ c3_1(a866) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a868)
          & ~ c1_1(a868)
          & ~ c3_1(a868) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a884)
          & c3_1(a884)
          & ~ c2_1(a884) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a890)
          & ~ c0_1(a890)
          & ~ c3_1(a890) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a901)
          & ~ c2_1(a901)
          & ~ c3_1(a901) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c2_1(a919)
          & c3_1(a919)
          & ~ c0_1(a919) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a839)
          & c1_1(a839)
          & c3_1(a839) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a849)
          & c1_1(a849)
          & c2_1(a849) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a857)
          & c2_1(a857)
          & c3_1(a857) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a875)
          & c2_1(a875)
          & c3_1(a875) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) )
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp3 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c2_1(X9)
              | ~ c3_1(X9) ) )
        | hskp4 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp5
        | hskp4 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | ~ c0_1(X12) ) )
        | hskp6 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c1_1(X14)
              | ~ c3_1(X14) ) )
        | hskp7 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp5 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp8 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | c3_1(X19) ) )
        | hskp28
        | hskp1 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp9
        | hskp0 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c1_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | hskp10 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp11 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp12
        | hskp13 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | hskp11
        | hskp4 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | hskp29
        | hskp3 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | hskp14
        | hskp12 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c0_1(X33)
              | ~ c1_1(X33) ) )
        | hskp15 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | ~ c0_1(X35)
              | ~ c1_1(X35) ) )
        | hskp29 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp4 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | hskp2 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp30
        | hskp16 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | hskp17
        | hskp4 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | ~ c3_1(X43) ) )
        | hskp18 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | hskp11 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | hskp19
        | hskp20 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp21 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp22
        | hskp19 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp23 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | ~ c3_1(X59) ) )
        | hskp5 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp2
        | hskp12 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | ~ c0_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | ~ c1_1(X65) ) )
        | hskp29 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | hskp9
        | hskp2 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | hskp31
        | hskp19 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) )
        | hskp3 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c0_1(X71)
              | ~ c1_1(X71) ) )
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | hskp14 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | hskp9
        | hskp7 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | hskp19
        | hskp11 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | hskp24 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp13 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | hskp17 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp28
        | hskp3 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp31 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp25 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c2_1(X87) ) )
        | hskp28
        | hskp7 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp28 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | hskp30 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | hskp22
        | hskp8 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c3_1(X93) ) )
        | hskp13
        | hskp1 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp5
        | hskp16 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c0_1(X95) ) )
        | hskp26
        | hskp20 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | hskp0
        | hskp3 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | hskp17 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp24
        | hskp4 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp14 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp25 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c0_1(X104)
              | ~ c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp18 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | hskp19
        | hskp0 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp22
        | hskp4 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp16
        | hskp6 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp29
        | hskp8 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp27
        | hskp25 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | hskp25
        | hskp1 )
      & ( hskp28
        | hskp10 )
      & ( hskp9
        | hskp22
        | hskp6 )
      & ( hskp9
        | hskp14
        | hskp4 )
      & ( hskp31
        | hskp8
        | hskp16 )
      & ( hskp7
        | hskp10
        | hskp21 )
      & ( hskp7
        | hskp21 )
      & ( hskp19
        | hskp30
        | hskp23 )
      & ( hskp2
        | hskp17
        | hskp16 )
      & ( hskp0
        | hskp11
        | hskp1 )
      & ( hskp14
        | hskp21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a828)
            & c2_1(a828)
            & ~ c0_1(a828) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a829)
            & ~ c1_1(a829)
            & ~ c3_1(a829) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a830)
            & ~ c1_1(a830)
            & ~ c2_1(a830) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a831)
            & c3_1(a831)
            & ~ c1_1(a831) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a832)
            & ~ c2_1(a832)
            & ~ c3_1(a832) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a833)
            & c2_1(a833)
            & ~ c3_1(a833) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a835)
            & ~ c2_1(a835)
            & ~ c3_1(a835) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a836)
            & c3_1(a836)
            & ~ c1_1(a836) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a838)
            & ~ c2_1(a838)
            & ~ c3_1(a838) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a841)
            & c1_1(a841)
            & ~ c2_1(a841) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a843)
            & ~ c0_1(a843)
            & ~ c3_1(a843) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a844)
            & ~ c1_1(a844)
            & ~ c2_1(a844) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a845)
            & ~ c0_1(a845)
            & ~ c1_1(a845) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a846)
            & ~ c0_1(a846)
            & ~ c2_1(a846) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a851)
            & c2_1(a851)
            & ~ c3_1(a851) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a853)
            & c3_1(a853)
            & ~ c0_1(a853) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a858)
            & ~ c1_1(a858)
            & ~ c2_1(a858) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a859)
            & ~ c1_1(a859)
            & ~ c3_1(a859) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a861)
            & c2_1(a861)
            & ~ c1_1(a861) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a863)
            & c3_1(a863)
            & ~ c2_1(a863) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a864)
            & ~ c0_1(a864)
            & ~ c2_1(a864) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a865)
            & ~ c0_1(a865)
            & ~ c1_1(a865) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a866)
            & c1_1(a866)
            & ~ c3_1(a866) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a868)
            & ~ c1_1(a868)
            & ~ c3_1(a868) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a884)
            & c3_1(a884)
            & ~ c2_1(a884) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a890)
            & ~ c0_1(a890)
            & ~ c3_1(a890) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a901)
            & ~ c2_1(a901)
            & ~ c3_1(a901) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c2_1(a919)
            & c3_1(a919)
            & ~ c0_1(a919) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a839)
            & c1_1(a839)
            & c3_1(a839) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a849)
            & c1_1(a849)
            & c2_1(a849) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a857)
            & c2_1(a857)
            & c3_1(a857) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a875)
            & c2_1(a875)
            & c3_1(a875) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp3 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c2_1(X9)
                | ~ c3_1(X9) ) )
          | hskp4 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp5
          | hskp4 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c0_1(X12) ) )
          | hskp6 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c1_1(X14)
                | ~ c3_1(X14) ) )
          | hskp7 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp5 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp8 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) )
          | hskp28
          | hskp1 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp9
          | hskp0 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c1_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | hskp10 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp11 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp12
          | hskp13 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | hskp11
          | hskp4 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | hskp29
          | hskp3 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp14
          | hskp12 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c0_1(X33)
                | ~ c1_1(X33) ) )
          | hskp15 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | ~ c0_1(X35)
                | ~ c1_1(X35) ) )
          | hskp29 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp4 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | hskp2 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp30
          | hskp16 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp17
          | hskp4 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | ~ c3_1(X43) ) )
          | hskp18 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | hskp11 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | hskp19
          | hskp20 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp21 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp22
          | hskp19 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp23 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) )
          | hskp5 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp2
          | hskp12 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | ~ c0_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) )
          | hskp29 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | hskp9
          | hskp2 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | hskp31
          | hskp19 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) )
          | hskp3 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) )
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp14 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | hskp9
          | hskp7 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | hskp19
          | hskp11 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | hskp24 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp13 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | hskp17 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp28
          | hskp3 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp31 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp25 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | hskp28
          | hskp7 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp28 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp30 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | hskp22
          | hskp8 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c3_1(X93) ) )
          | hskp13
          | hskp1 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp5
          | hskp16 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c0_1(X95) ) )
          | hskp26
          | hskp20 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp0
          | hskp3 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp17 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp24
          | hskp4 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp14 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp25 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c0_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp18 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | hskp19
          | hskp0 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp22
          | hskp4 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp16
          | hskp6 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp29
          | hskp8 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp27
          | hskp25 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp25
          | hskp1 )
        & ( hskp28
          | hskp10 )
        & ( hskp9
          | hskp22
          | hskp6 )
        & ( hskp9
          | hskp14
          | hskp4 )
        & ( hskp31
          | hskp8
          | hskp16 )
        & ( hskp7
          | hskp10
          | hskp21 )
        & ( hskp7
          | hskp21 )
        & ( hskp19
          | hskp30
          | hskp23 )
        & ( hskp2
          | hskp17
          | hskp16 )
        & ( hskp0
          | hskp11
          | hskp1 )
        & ( hskp14
          | hskp21 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | c2_1(X3)
            | ~ c3_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c1_1(X5)
            | ~ c3_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp3 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c2_1(X9)
            | ~ c3_1(X9) ) )
      | hskp4 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | ~ c0_1(X12) ) )
      | hskp6 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c1_1(X14)
            | ~ c3_1(X14) ) )
      | hskp7 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) )
      | hskp5 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp8 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | c3_1(X19) ) )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | ~ c1_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c0_1(X25) ) )
      | hskp10 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp11 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c0_1(X33)
            | ~ c1_1(X33) ) )
      | hskp15 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | ~ c0_1(X35)
            | ~ c1_1(X35) ) )
      | hskp29 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c0_1(X37)
            | ~ c2_1(X37) ) )
      | hskp4 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | hskp2 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c1_1(X41) ) )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c1_1(X43)
            | ~ c3_1(X43) ) )
      | hskp18 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | hskp11 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp21 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp23 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c0_1(X59)
            | ~ c3_1(X59) ) )
      | hskp5 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c0_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | ~ c0_1(X63)
            | ~ c2_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c0_1(X65)
            | ~ c1_1(X65) ) )
      | hskp29 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | c3_1(X67) ) )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) )
      | hskp3 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c0_1(X71)
            | ~ c1_1(X71) ) )
      | hskp17 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) )
      | hskp14 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c0_1(X75) ) )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | hskp24 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp13 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | hskp17 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) )
      | hskp31 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp25 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c2_1(X87) ) )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp28 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c1_1(X91)
            | ~ c2_1(X91) ) )
      | hskp30 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c3_1(X93) ) )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c0_1(X95) ) )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c3_1(X96)
            | ~ c0_1(X96) ) )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | c3_1(X97)
            | ~ c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c1_1(X98)
            | ~ c2_1(X98) ) )
      | hskp17 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp14 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp25 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c0_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp18 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c3_1(X111) ) )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp14
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp2
    | hskp17
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp19
    | hskp30
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp7
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp9
    | hskp14
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp25
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | ~ c2_1(X108)
      | ~ ndr1_0
      | hskp16
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X107] :
      ( c3_1(X107)
      | ~ c0_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp22
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | ~ c1_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X99] :
      ( c2_1(X99)
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ ndr1_0
      | hskp24
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X98,X97] :
      ( c2_1(X97)
      | c3_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X94] :
      ( c1_1(X94)
      | ~ c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp5
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X93] :
      ( c1_1(X93)
      | ~ c0_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X92] :
      ( c1_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp22
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X88,X89] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp9
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X66] :
      ( c1_1(X66)
      | c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ c1_1(X65)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X62,X63,X61] :
      ( c1_1(X61)
      | c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | ~ c0_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp2
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X46] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X41] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | hskp17
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X31] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp14
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X29] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | hskp11
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp9
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ~ hskp31
    | c3_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp31
    | c2_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c0_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ~ hskp30
    | c3_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp30
    | c2_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp30
    | c1_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ~ hskp29
    | c2_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c1_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c0_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp28
    | c3_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp28
    | c1_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp28
    | c0_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp25
    | ~ c3_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp25
    | ~ c0_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp25
    | c2_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ hskp24
    | ~ c2_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | c3_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp24
    | c1_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp23
    | ~ c3_1(a868) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp23
    | ~ c1_1(a868) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp23
    | c2_1(a868) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp22
    | ~ c3_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp22
    | c1_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp22
    | c0_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ hskp21
    | ~ c1_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp21
    | ~ c0_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp21
    | c2_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp20
    | ~ c2_1(a864) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp20
    | ~ c0_1(a864) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp20
    | c1_1(a864) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp19
    | ~ c2_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | c3_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | c0_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp18
    | ~ c1_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | c2_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | c0_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp17
    | ~ c3_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c1_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp17
    | c0_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ hskp16
    | ~ c2_1(a858) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c1_1(a858) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp15
    | ~ c0_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp15
    | c3_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp15
    | c1_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp14
    | ~ c3_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp14
    | c2_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp14
    | c1_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp13
    | ~ c2_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c0_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp13
    | c3_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ hskp12
    | ~ c1_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp12
    | ~ c0_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp12
    | c3_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ hskp11
    | ~ c2_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp11
    | ~ c1_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp11
    | c3_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp10
    | ~ c3_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp10
    | ~ c0_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp10
    | c1_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp9
    | ~ c2_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp9
    | c1_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp9
    | c0_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ~ c3_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c2_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | c1_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp7
    | ~ c1_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | c3_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | c0_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp6
    | ~ c3_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp6
    | ~ c2_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp6
    | ~ c0_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp5
    | ~ c3_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | c2_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | c0_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp4
    | ~ c3_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp4
    | ~ c2_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp4
    | ~ c1_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp3
    | c3_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | c2_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp2
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp2
    | ~ c1_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp2
    | c0_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ hskp1
    | ~ c3_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp1
    | ~ c1_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp1
    | ~ c0_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    ( ~ hskp0
    | ~ c0_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | c2_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp0
    | c1_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f213,plain,
    ( ~ hskp0
    | ~ c1_1(a828) ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f214,plain,
    ( ~ hskp0
    | ~ c2_1(a828) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f216,plain,
    ( hskp1
    | ~ c0_1(a829) ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f217,plain,
    ( hskp1
    | c1_1(a829) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f218,plain,
    ( hskp1
    | ~ c3_1(a829) ),
    inference(consistent_polarity_flipping,[],[f205]) ).

fof(f219,plain,
    ( ~ hskp2
    | c1_1(a830) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f220,plain,
    ( ~ hskp2
    | c2_1(a830) ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f222,plain,
    ( hskp3
    | ~ c2_1(a831) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f223,plain,
    ( hskp3
    | c3_1(a831) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f225,plain,
    ( ~ hskp4
    | c1_1(a832) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f226,plain,
    ( ~ hskp4
    | c2_1(a832) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f227,plain,
    ( ~ hskp5
    | ~ c2_1(a833) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f229,plain,
    ( hskp6
    | ~ c0_1(a835) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f230,plain,
    ( hskp6
    | c2_1(a835) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f231,plain,
    ( hskp6
    | ~ c3_1(a835) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

fof(f232,plain,
    ( hskp7
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f233,plain,
    ( hskp7
    | c0_1(a836) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f234,plain,
    ( hskp7
    | c3_1(a836) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f235,plain,
    ( hskp7
    | c1_1(a836) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f237,plain,
    ( hskp8
    | ~ c1_1(a838) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f238,plain,
    ( hskp8
    | c2_1(a838) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f239,plain,
    ( hskp8
    | ~ c3_1(a838) ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f240,plain,
    ( ~ hskp9
    | ~ c1_1(a841) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f241,plain,
    ( ~ hskp9
    | c2_1(a841) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f242,plain,
    ( ~ hskp10
    | ~ c1_1(a843) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f243,plain,
    ( ~ hskp11
    | c1_1(a844) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f244,plain,
    ( ~ hskp11
    | c2_1(a844) ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f245,plain,
    ( ~ hskp12
    | c1_1(a845) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f246,plain,
    ( ~ hskp13
    | c2_1(a846) ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f248,plain,
    ( hskp14
    | ~ c1_1(a851) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f249,plain,
    ( hskp14
    | ~ c2_1(a851) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f250,plain,
    ( hskp14
    | ~ c3_1(a851) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f252,plain,
    ( hskp15
    | ~ c1_1(a853) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f253,plain,
    ( hskp15
    | c3_1(a853) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f254,plain,
    ( hskp15
    | ~ c0_1(a853) ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f255,plain,
    ( ~ hskp16
    | c1_1(a858) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f256,plain,
    ( ~ hskp16
    | c2_1(a858) ),
    inference(consistent_polarity_flipping,[],[f145]) ).

fof(f258,plain,
    ( hskp17
    | c0_1(a859) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f259,plain,
    ( hskp17
    | c1_1(a859) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f260,plain,
    ( hskp17
    | ~ c3_1(a859) ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f262,plain,
    ( hskp18
    | c0_1(a861) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f263,plain,
    ( hskp18
    | ~ c2_1(a861) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f264,plain,
    ( hskp18
    | c1_1(a861) ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f265,plain,
    ( ~ hskp19
    | c2_1(a863) ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f267,plain,
    ( hskp20
    | ~ c1_1(a864) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f268,plain,
    ( hskp20
    | ~ c0_1(a864) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f269,plain,
    ( hskp20
    | c2_1(a864) ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f270,plain,
    ( ~ hskp21
    | ~ c2_1(a865) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f271,plain,
    ( ~ hskp21
    | c1_1(a865) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f273,plain,
    ( hskp22
    | c0_1(a866) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f274,plain,
    ( hskp22
    | ~ c1_1(a866) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f275,plain,
    ( hskp22
    | ~ c3_1(a866) ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f276,plain,
    ( ~ hskp23
    | ~ c2_1(a868) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f277,plain,
    ( ~ hskp23
    | c1_1(a868) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f278,plain,
    ( ~ hskp24
    | ~ c1_1(a884) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f279,plain,
    ( ~ hskp24
    | c2_1(a884) ),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f280,plain,
    ( ~ hskp25
    | ~ c2_1(a890) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f287,plain,
    ( hskp28
    | c0_1(a839) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f288,plain,
    ( hskp28
    | ~ c1_1(a839) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f289,plain,
    ( hskp28
    | c3_1(a839) ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f291,plain,
    ( hskp29
    | c0_1(a849) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f292,plain,
    ( hskp29
    | ~ c1_1(a849) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f293,plain,
    ( hskp29
    | ~ c2_1(a849) ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f294,plain,
    ( ~ hskp30
    | ~ c1_1(a857) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f295,plain,
    ( ~ hskp30
    | ~ c2_1(a857) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f297,plain,
    ( hskp31
    | c0_1(a875) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f298,plain,
    ( hskp31
    | ~ c2_1(a875) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f299,plain,
    ( hskp31
    | c3_1(a875) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f311,plain,
    ! [X20] :
      ( c0_1(X20)
      | ~ c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | hskp9
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f312,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c1_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f314,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | ~ c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c1_1(X27)
      | c2_1(X27)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f316,plain,
    ! [X29] :
      ( c0_1(X29)
      | ~ c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | hskp11
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f318,plain,
    ! [X31] :
      ( c0_1(X31)
      | ~ c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ hskp14
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f319,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f320,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c0_1(X35)
      | c1_1(X35)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f321,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | ~ ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f322,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c1_1(X39)
      | c2_1(X39)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f324,plain,
    ! [X41] :
      ( c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0
      | ~ hskp17
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f325,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f326,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f327,plain,
    ! [X46] :
      ( c0_1(X46)
      | c3_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | hskp19
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f328,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f329,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | c1_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f331,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f333,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f334,plain,
    ! [X60] :
      ( c0_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp2
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f335,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | c2_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f336,plain,
    ! [X65,X64] :
      ( ~ c1_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f337,plain,
    ! [X66] :
      ( ~ c1_1(X66)
      | ~ c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f339,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | ~ c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f340,plain,
    ! [X70,X71] :
      ( ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f341,plain,
    ! [X72,X73] :
      ( ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f342,plain,
    ! [X74] :
      ( ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp9
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f343,plain,
    ! [X75] :
      ( ~ c1_1(X75)
      | ~ c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f344,plain,
    ! [X76,X77] :
      ( ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f345,plain,
    ! [X78,X79] :
      ( ~ c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f346,plain,
    ! [X80,X81] :
      ( ~ c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f348,plain,
    ! [X83,X84] :
      ( ~ c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f349,plain,
    ! [X86,X85] :
      ( ~ c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f351,plain,
    ! [X88,X89] :
      ( ~ c1_1(X88)
      | ~ c0_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c1_1(X89)
      | c2_1(X89)
      | ~ ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f352,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | hskp30 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f353,plain,
    ! [X92] :
      ( ~ c1_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | ~ hskp22
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f354,plain,
    ! [X93] :
      ( ~ c1_1(X93)
      | ~ c0_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp13
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f355,plain,
    ! [X94] :
      ( ~ c1_1(X94)
      | c2_1(X94)
      | ~ c3_1(X94)
      | ~ ndr1_0
      | hskp5
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f358,plain,
    ! [X98,X97] :
      ( ~ c2_1(X97)
      | c3_1(X97)
      | c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c1_1(X98)
      | c2_1(X98)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f359,plain,
    ! [X99] :
      ( ~ c2_1(X99)
      | ~ c0_1(X99)
      | c1_1(X99)
      | ~ ndr1_0
      | hskp24
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f360,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | c1_1(X101)
      | c2_1(X101)
      | ~ ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f361,plain,
    ! [X102,X103] :
      ( ~ c2_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f362,plain,
    ! [X104,X105] :
      ( ~ c2_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | c1_1(X105)
      | c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f364,plain,
    ! [X107] :
      ( c3_1(X107)
      | ~ c0_1(X107)
      | c1_1(X107)
      | ~ ndr1_0
      | ~ hskp22
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f365,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | c2_1(X108)
      | ~ ndr1_0
      | hskp16
      | ~ hskp6 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f368,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | c1_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp25
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f369,plain,
    ( ~ hskp28
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f371,plain,
    ( hskp9
    | ~ hskp14
    | hskp4 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f374,plain,
    ( ~ hskp7
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f375,plain,
    ( hskp2
    | ~ hskp17
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f377,plain,
    ( ~ hskp14
    | hskp21 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f378,plain,
    ! [X104,X105] :
      ( ~ c2_1(X104)
      | ~ c0_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | c1_1(X105)
      | c2_1(X105)
      | ~ c3_1(X105)
      | ~ hskp18 ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f379,plain,
    ! [X102,X103] :
      ( ~ c2_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | c1_1(X103)
      | ~ c3_1(X103)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f380,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | c1_1(X101)
      | c2_1(X101)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f360]) ).

fof(f381,plain,
    ! [X98,X97] :
      ( ~ c2_1(X97)
      | c3_1(X97)
      | c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | c1_1(X98)
      | c2_1(X98)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f382,plain,
    ! [X90,X91] :
      ( ~ c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | c1_1(X91)
      | c2_1(X91)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f352]) ).

fof(f383,plain,
    ! [X88,X89] :
      ( ~ c1_1(X88)
      | ~ c0_1(X88)
      | c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | c1_1(X89)
      | c2_1(X89)
      | ~ hskp28 ),
    inference(duplicate_literal_removal,[],[f351]) ).

fof(f384,plain,
    ! [X86,X85] :
      ( ~ c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | c2_1(X86)
      | ~ c3_1(X86)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f385,plain,
    ! [X83,X84] :
      ( ~ c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | c1_1(X84)
      | ~ hskp31 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f386,plain,
    ! [X80,X81] :
      ( ~ c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ c2_1(X81)
      | c1_1(X81)
      | ~ c3_1(X81)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f387,plain,
    ! [X78,X79] :
      ( ~ c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f388,plain,
    ! [X76,X77] :
      ( ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f389,plain,
    ! [X72,X73] :
      ( ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | c2_1(X73)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f390,plain,
    ! [X70,X71] :
      ( ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | c1_1(X71)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f340]) ).

fof(f391,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | ~ c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f392,plain,
    ! [X65,X64] :
      ( ~ c1_1(X64)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | c1_1(X65)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f393,plain,
    ! [X62,X63,X61] :
      ( ~ c1_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | c2_1(X62)
      | c3_1(X63)
      | ~ c0_1(X63)
      | c2_1(X63) ),
    inference(duplicate_literal_removal,[],[f335]) ).

fof(f394,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f396,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ c2_1(X55)
      | c1_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f397,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | c1_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | c3_1(X50)
      | ~ c0_1(X50)
      | c1_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51) ),
    inference(duplicate_literal_removal,[],[f329]) ).

fof(f398,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c1_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f399,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | c1_1(X45)
      | ~ c3_1(X45)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f400,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X43)
      | ~ hskp18 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f401,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c1_1(X39)
      | c2_1(X39)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f402,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | c2_1(X37)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f403,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c0_1(X35)
      | c1_1(X35)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f404,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | ~ c2_1(X33)
      | ~ c0_1(X33)
      | c1_1(X33)
      | ~ hskp15 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f405,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | ~ c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c1_1(X27)
      | c2_1(X27)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f407,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c1_1(X22)
      | c2_1(X22)
      | ~ c0_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f418,definition,
    ( spl0_1
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f422,definition,
    ( spl0_2
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f425,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f377,f422,f418]) ).

fof(f427,definition,
    ( spl0_3
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f431,definition,
    ( spl0_4
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f435,definition,
    ( spl0_5
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_6
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f444,definition,
    ( spl0_7
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f448,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f451,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f375,f448,f444,f440]) ).

fof(f453,definition,
    ( spl0_9
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_10
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f461,definition,
    ( spl0_11
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f464,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f9,f461,f457,f453]) ).

fof(f466,definition,
    ( spl0_12
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f469,plain,
    ( spl0_1
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f374,f466,f418]) ).

fof(f471,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f476,definition,
    ( spl0_14
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_15
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f485,definition,
    ( spl0_16
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_17
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f492,plain,
    ( spl0_16
    | ~ spl0_2
    | spl0_17 ),
    inference(avatar_split_clause,[],[f371,f489,f422,f485]) ).

fof(f494,definition,
    ( spl0_18
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f498,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f503,definition,
    ( spl0_20
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f506,plain,
    ( spl0_13
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f369,f503,f471]) ).

fof(f508,definition,
    ( spl0_21
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f512,definition,
    ( spl0_22
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f516,definition,
    ( spl0_23
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c3_1(X111)
        | c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X111] :
        ( ~ c3_1(X111)
        | ~ c0_1(X111)
        | c1_1(X111) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( ~ spl0_3
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f368,f516,f512,f508,f427]) ).

fof(f525,definition,
    ( spl0_25
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f529,definition,
    ( spl0_26
  <=> ! [X109] :
        ( ~ c0_1(X109)
        | c2_1(X109)
        | c1_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f530,plain,
    ( ! [X109] :
        ( ~ c0_1(X109)
        | c2_1(X109)
        | c1_1(X109) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f533,definition,
    ( spl0_27
  <=> ! [X108] :
        ( c3_1(X108)
        | c2_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c2_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f535,plain,
    ( ~ spl0_18
    | spl0_6
    | ~ spl0_22
    | spl0_27 ),
    inference(avatar_split_clause,[],[f365,f533,f512,f440,f494]) ).

fof(f537,definition,
    ( spl0_28
  <=> ! [X107] :
        ( c3_1(X107)
        | c1_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X107] :
        ( c3_1(X107)
        | c1_1(X107)
        | ~ c0_1(X107) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_16
    | ~ spl0_19
    | ~ spl0_22
    | spl0_28 ),
    inference(avatar_split_clause,[],[f364,f537,f512,f498,f485]) ).

fof(f541,definition,
    ( spl0_29
  <=> ! [X106] :
        ( ~ c2_1(X106)
        | ~ c3_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | ~ c2_1(X106)
        | ~ c0_1(X106) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f545,definition,
    ( spl0_30
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f549,definition,
    ( spl0_31
  <=> ! [X105] :
        ( c1_1(X105)
        | ~ c3_1(X105)
        | c2_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X105] :
        ( ~ c3_1(X105)
        | c1_1(X105)
        | c2_1(X105) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f551,plain,
    ( ~ spl0_30
    | spl0_31
    | ~ spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f378,f541,f512,f549,f545]) ).

fof(f552,plain,
    ( spl0_21
    | spl0_23
    | ~ spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f379,f541,f512,f516,f508]) ).

fof(f553,plain,
    ( ~ spl0_2
    | spl0_26
    | ~ spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f380,f541,f512,f529,f422]) ).

fof(f555,definition,
    ( spl0_32
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f559,definition,
    ( spl0_33
  <=> ! [X99] :
        ( ~ c2_1(X99)
        | c1_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f560,plain,
    ( ! [X99] :
        ( ~ c0_1(X99)
        | c1_1(X99)
        | ~ c2_1(X99) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( spl0_16
    | spl0_32
    | ~ spl0_22
    | spl0_33 ),
    inference(avatar_split_clause,[],[f359,f559,f512,f555,f485]) ).

fof(f563,definition,
    ( spl0_34
  <=> ! [X98] :
        ( c3_1(X98)
        | c2_1(X98)
        | c1_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X98] :
        ( c3_1(X98)
        | c2_1(X98)
        | c1_1(X98) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f566,definition,
    ( spl0_35
  <=> ! [X97] :
        ( ~ c2_1(X97)
        | c1_1(X97)
        | c3_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f567,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | c1_1(X97)
        | ~ c2_1(X97) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( ~ spl0_7
    | spl0_34
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_split_clause,[],[f381,f566,f512,f563,f444]) ).

fof(f570,definition,
    ( spl0_36
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f574,definition,
    ( spl0_37
  <=> ! [X96] :
        ( ~ c2_1(X96)
        | ~ c0_1(X96)
        | c3_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f575,plain,
    ( ! [X96] :
        ( c3_1(X96)
        | ~ c0_1(X96)
        | ~ c2_1(X96) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f578,definition,
    ( spl0_38
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f587,definition,
    ( spl0_40
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f591,definition,
    ( spl0_41
  <=> ! [X94] :
        ( ~ c1_1(X94)
        | ~ c3_1(X94)
        | c2_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X94] :
        ( ~ c3_1(X94)
        | ~ c1_1(X94)
        | c2_1(X94) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( spl0_6
    | spl0_40
    | ~ spl0_22
    | spl0_41 ),
    inference(avatar_split_clause,[],[f355,f591,f512,f587,f440]) ).

fof(f595,definition,
    ( spl0_42
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f599,definition,
    ( spl0_43
  <=> ! [X93] :
        ( ~ c1_1(X93)
        | ~ c3_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f600,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | ~ c0_1(X93) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f601,plain,
    ( ~ spl0_3
    | spl0_42
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f354,f599,f512,f595,f427]) ).

fof(f602,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f353,f599,f512,f498,f476]) ).

fof(f603,plain,
    ( spl0_10
    | spl0_26
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f382,f599,f512,f529,f457]) ).

fof(f605,definition,
    ( spl0_44
  <=> ! [X88] :
        ( ~ c1_1(X88)
        | c2_1(X88)
        | ~ c0_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f606,plain,
    ( ! [X88] :
        ( ~ c0_1(X88)
        | c2_1(X88)
        | ~ c1_1(X88) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f607,plain,
    ( ~ spl0_20
    | spl0_34
    | ~ spl0_22
    | spl0_44 ),
    inference(avatar_split_clause,[],[f383,f605,f512,f563,f503]) ).

fof(f613,definition,
    ( spl0_46
  <=> ! [X85] :
        ( ~ c1_1(X85)
        | ~ c0_1(X85)
        | c3_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f614,plain,
    ( ! [X85] :
        ( c3_1(X85)
        | ~ c0_1(X85)
        | ~ c1_1(X85) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( spl0_21
    | spl0_31
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f384,f613,f512,f549,f508]) ).

fof(f616,plain,
    ( ~ spl0_15
    | spl0_33
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f385,f613,f512,f559,f480]) ).

fof(f618,definition,
    ( spl0_47
  <=> ! [X82] :
        ( ~ c1_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f619,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | ~ c1_1(X82)
        | ~ c2_1(X82) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f622,definition,
    ( spl0_48
  <=> ! [X81] :
        ( ~ c2_1(X81)
        | ~ c3_1(X81)
        | c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f623,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | ~ c2_1(X81)
        | c1_1(X81) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( ~ spl0_7
    | spl0_48
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f386,f618,f512,f622,f444]) ).

fof(f625,plain,
    ( spl0_42
    | spl0_46
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f387,f618,f512,f613,f595]) ).

fof(f626,plain,
    ( spl0_32
    | spl0_46
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f388,f618,f512,f613,f555]) ).

fof(f628,definition,
    ( spl0_49
  <=> ! [X75] :
        ( ~ c1_1(X75)
        | ~ c0_1(X75)
        | ~ c2_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f629,plain,
    ( ! [X75] :
        ( ~ c0_1(X75)
        | ~ c1_1(X75)
        | ~ c2_1(X75) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f628]) ).

fof(f630,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f343,f628,f512,f461,f431]) ).

fof(f631,plain,
    ( ~ spl0_12
    | spl0_17
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f342,f628,f512,f489,f466]) ).

fof(f632,plain,
    ( ~ spl0_2
    | spl0_27
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f389,f628,f512,f533,f422]) ).

fof(f633,plain,
    ( ~ spl0_7
    | spl0_28
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f390,f628,f512,f537,f444]) ).

fof(f634,plain,
    ( ~ spl0_36
    | spl0_29
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f391,f628,f512,f541,f570]) ).

fof(f636,definition,
    ( spl0_50
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f637,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | ~ c1_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( spl0_8
    | spl0_17
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f337,f636,f512,f489,f448]) ).

fof(f640,plain,
    ( ~ spl0_25
    | spl0_28
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f392,f636,f512,f537,f525]) ).

fof(f641,plain,
    ( spl0_27
    | spl0_44
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f393,f636,f512,f605,f533]) ).

fof(f643,definition,
    ( spl0_51
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f647,definition,
    ( spl0_52
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c3_1(X60)
        | c2_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f648,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | c0_1(X60)
        | c2_1(X60) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( spl0_51
    | spl0_8
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f334,f647,f512,f448,f643]) ).

fof(f650,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f394,f647,f512,f599,f587]) ).

fof(f652,definition,
    ( spl0_53
  <=> ! [X57] :
        ( ~ c0_1(X57)
        | ~ c3_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f653,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | ~ c0_1(X57)
        | c2_1(X57) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,definition,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c3_1(X56)
        | c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f656,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | c1_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( spl0_48
    | spl0_37
    | ~ spl0_22
    | spl0_54 ),
    inference(avatar_split_clause,[],[f396,f655,f512,f574,f622]) ).

fof(f660,definition,
    ( spl0_55
  <=> ! [X52] :
        ( c0_1(X52)
        | c2_1(X52)
        | c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f661,plain,
    ( ! [X52] :
        ( c0_1(X52)
        | c2_1(X52)
        | c1_1(X52) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( spl0_31
    | spl0_37
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f397,f660,f512,f574,f549]) ).

fof(f664,plain,
    ( spl0_1
    | spl0_47
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f398,f660,f512,f618,f418]) ).

fof(f666,definition,
    ( spl0_56
  <=> ! [X46] :
        ( c0_1(X46)
        | c2_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f667,plain,
    ( ! [X46] :
        ( c3_1(X46)
        | c2_1(X46)
        | c0_1(X46) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f668,plain,
    ( ~ spl0_38
    | spl0_11
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f327,f666,f512,f461,f578]) ).

fof(f669,plain,
    ( spl0_4
    | spl0_23
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f399,f666,f512,f516,f431]) ).

fof(f670,plain,
    ( ~ spl0_30
    | spl0_54
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f400,f666,f512,f655,f545]) ).

fof(f672,definition,
    ( spl0_57
  <=> ! [X41] :
        ( c0_1(X41)
        | c1_1(X41)
        | c3_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X41] :
        ( c3_1(X41)
        | c1_1(X41)
        | c0_1(X41) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl0_16
    | ~ spl0_7
    | ~ spl0_22
    | spl0_57 ),
    inference(avatar_split_clause,[],[f324,f672,f512,f444,f485]) ).

fof(f676,definition,
    ( spl0_58
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | ~ c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f677,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | ~ c2_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( spl0_8
    | spl0_26
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f401,f676,f512,f529,f448]) ).

fof(f680,plain,
    ( spl0_16
    | spl0_27
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f402,f676,f512,f533,f485]) ).

fof(f681,plain,
    ( ~ spl0_25
    | spl0_28
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f403,f676,f512,f537,f525]) ).

fof(f683,definition,
    ( spl0_59
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_59
    | spl0_33
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f404,f676,f512,f559,f683]) ).

fof(f688,definition,
    ( spl0_60
  <=> ! [X31] :
        ( c0_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f689,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | c1_1(X31)
        | ~ c2_1(X31) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( spl0_51
    | ~ spl0_2
    | ~ spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f318,f688,f512,f422,f643]) ).

fof(f693,definition,
    ( spl0_61
  <=> ! [X29] :
        ( c0_1(X29)
        | c3_1(X29)
        | ~ c2_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f694,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c0_1(X29)
        | ~ c2_1(X29) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_16
    | spl0_4
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f316,f693,f512,f431,f485]) ).

fof(f697,plain,
    ( spl0_4
    | spl0_26
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f405,f693,f512,f529,f431]) ).

fof(f700,definition,
    ( spl0_62
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f701,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21)
        | ~ c1_1(X21) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_53
    | spl0_55
    | ~ spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f407,f700,f512,f660,f652]) ).

fof(f704,definition,
    ( spl0_63
  <=> ! [X20] :
        ( c0_1(X20)
        | c2_1(X20)
        | ~ c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f705,plain,
    ( ! [X20] :
        ( c0_1(X20)
        | c2_1(X20)
        | ~ c1_1(X20) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_22
    | spl0_63 ),
    inference(avatar_split_clause,[],[f311,f704,f512,f489,f435]) ).

fof(f725,definition,
    ( spl0_66
  <=> c3_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f727,plain,
    ( c3_1(a875)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( spl0_66
    | spl0_15 ),
    inference(avatar_split_clause,[],[f299,f480,f725]) ).

fof(f730,definition,
    ( spl0_67
  <=> c2_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_67
    | spl0_15 ),
    inference(avatar_split_clause,[],[f298,f480,f730]) ).

fof(f735,definition,
    ( spl0_68
  <=> c0_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f737,plain,
    ( c0_1(a875)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( spl0_68
    | spl0_15 ),
    inference(avatar_split_clause,[],[f297,f480,f735]) ).

fof(f741,definition,
    ( spl0_69
  <=> c3_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f743,plain,
    ( c3_1(a857)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f744,plain,
    ( spl0_69
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f89,f457,f741]) ).

fof(f746,definition,
    ( spl0_70
  <=> c2_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_70
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f295,f457,f746]) ).

fof(f751,definition,
    ( spl0_71
  <=> c1_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ spl0_71
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f294,f457,f751]) ).

fof(f757,definition,
    ( spl0_72
  <=> c2_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ spl0_72
    | spl0_25 ),
    inference(avatar_split_clause,[],[f293,f525,f757]) ).

fof(f762,definition,
    ( spl0_73
  <=> c1_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ spl0_73
    | spl0_25 ),
    inference(avatar_split_clause,[],[f292,f525,f762]) ).

fof(f767,definition,
    ( spl0_74
  <=> c0_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f769,plain,
    ( c0_1(a849)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( spl0_74
    | spl0_25 ),
    inference(avatar_split_clause,[],[f291,f525,f767]) ).

fof(f773,definition,
    ( spl0_75
  <=> c3_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f775,plain,
    ( c3_1(a839)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( spl0_75
    | spl0_20 ),
    inference(avatar_split_clause,[],[f289,f503,f773]) ).

fof(f778,definition,
    ( spl0_76
  <=> c1_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ spl0_76
    | spl0_20 ),
    inference(avatar_split_clause,[],[f288,f503,f778]) ).

fof(f783,definition,
    ( spl0_77
  <=> c0_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f785,plain,
    ( c0_1(a839)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( spl0_77
    | spl0_20 ),
    inference(avatar_split_clause,[],[f287,f503,f783]) ).

fof(f821,definition,
    ( spl0_84
  <=> c3_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ c3_1(a890)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( ~ spl0_84
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f109,f508,f821]) ).

fof(f826,definition,
    ( spl0_85
  <=> c0_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ spl0_85
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f110,f508,f826]) ).

fof(f831,definition,
    ( spl0_86
  <=> c2_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ spl0_86
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f280,f508,f831]) ).

fof(f837,definition,
    ( spl0_87
  <=> c2_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f840,plain,
    ( spl0_87
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f279,f555,f837]) ).

fof(f842,definition,
    ( spl0_88
  <=> c3_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f844,plain,
    ( c3_1(a884)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl0_88
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f114,f555,f842]) ).

fof(f847,definition,
    ( spl0_89
  <=> c1_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ spl0_89
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f278,f555,f847]) ).

fof(f853,definition,
    ( spl0_90
  <=> c3_1(a868) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ c3_1(a868)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( ~ spl0_90
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f117,f453,f853]) ).

fof(f858,definition,
    ( spl0_91
  <=> c1_1(a868) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f861,plain,
    ( spl0_91
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f277,f453,f858]) ).

fof(f863,definition,
    ( spl0_92
  <=> c2_1(a868) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f866,plain,
    ( ~ spl0_92
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f276,f453,f863]) ).

fof(f869,definition,
    ( spl0_93
  <=> c3_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f871,plain,
    ( ~ c3_1(a866)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f872,plain,
    ( ~ spl0_93
    | spl0_19 ),
    inference(avatar_split_clause,[],[f275,f498,f869]) ).

fof(f874,definition,
    ( spl0_94
  <=> c1_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ spl0_94
    | spl0_19 ),
    inference(avatar_split_clause,[],[f274,f498,f874]) ).

fof(f879,definition,
    ( spl0_95
  <=> c0_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f881,plain,
    ( c0_1(a866)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( spl0_95
    | spl0_19 ),
    inference(avatar_split_clause,[],[f273,f498,f879]) ).

fof(f885,definition,
    ( spl0_96
  <=> c1_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f271,f418,f885]) ).

fof(f890,definition,
    ( spl0_97
  <=> c0_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c0_1(a865)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f893,plain,
    ( ~ spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f418,f890]) ).

fof(f895,definition,
    ( spl0_98
  <=> c2_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f270,f418,f895]) ).

fof(f899,plain,
    ( spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f418,f512]) ).

fof(f901,definition,
    ( spl0_99
  <=> c2_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f903,plain,
    ( c2_1(a864)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f904,plain,
    ( spl0_99
    | spl0_38 ),
    inference(avatar_split_clause,[],[f269,f578,f901]) ).

fof(f906,definition,
    ( spl0_100
  <=> c0_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ c0_1(a864)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( ~ spl0_100
    | spl0_38 ),
    inference(avatar_split_clause,[],[f268,f578,f906]) ).

fof(f911,definition,
    ( spl0_101
  <=> c1_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f914,plain,
    ( ~ spl0_101
    | spl0_38 ),
    inference(avatar_split_clause,[],[f267,f578,f911]) ).

fof(f917,definition,
    ( spl0_102
  <=> c2_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f920,plain,
    ( spl0_102
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f265,f461,f917]) ).

fof(f922,definition,
    ( spl0_103
  <=> c3_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f924,plain,
    ( c3_1(a863)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f925,plain,
    ( spl0_103
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f134,f461,f922]) ).

fof(f927,definition,
    ( spl0_104
  <=> c0_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f929,plain,
    ( c0_1(a863)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( spl0_104
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f135,f461,f927]) ).

fof(f933,definition,
    ( spl0_105
  <=> c1_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f936,plain,
    ( spl0_105
    | spl0_30 ),
    inference(avatar_split_clause,[],[f264,f545,f933]) ).

fof(f938,definition,
    ( spl0_106
  <=> c2_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ spl0_106
    | spl0_30 ),
    inference(avatar_split_clause,[],[f263,f545,f938]) ).

fof(f943,definition,
    ( spl0_107
  <=> c0_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f945,plain,
    ( c0_1(a861)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f946,plain,
    ( spl0_107
    | spl0_30 ),
    inference(avatar_split_clause,[],[f262,f545,f943]) ).

fof(f949,definition,
    ( spl0_108
  <=> c3_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f951,plain,
    ( ~ c3_1(a859)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f952,plain,
    ( ~ spl0_108
    | spl0_7 ),
    inference(avatar_split_clause,[],[f260,f444,f949]) ).

fof(f954,definition,
    ( spl0_109
  <=> c1_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f957,plain,
    ( spl0_109
    | spl0_7 ),
    inference(avatar_split_clause,[],[f259,f444,f954]) ).

fof(f959,definition,
    ( spl0_110
  <=> c0_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f962,plain,
    ( spl0_110
    | spl0_7 ),
    inference(avatar_split_clause,[],[f258,f444,f959]) ).

fof(f965,definition,
    ( spl0_111
  <=> c2_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f967,plain,
    ( c2_1(a858)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f968,plain,
    ( spl0_111
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f256,f440,f965]) ).

fof(f970,definition,
    ( spl0_112
  <=> c1_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f973,plain,
    ( spl0_112
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f255,f440,f970]) ).

fof(f981,definition,
    ( spl0_114
  <=> c0_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ spl0_114
    | spl0_59 ),
    inference(avatar_split_clause,[],[f254,f683,f981]) ).

fof(f986,definition,
    ( spl0_115
  <=> c3_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f988,plain,
    ( c3_1(a853)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( spl0_115
    | spl0_59 ),
    inference(avatar_split_clause,[],[f253,f683,f986]) ).

fof(f991,definition,
    ( spl0_116
  <=> c1_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ spl0_116
    | spl0_59 ),
    inference(avatar_split_clause,[],[f252,f683,f991]) ).

fof(f997,definition,
    ( spl0_117
  <=> c3_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f999,plain,
    ( ~ c3_1(a851)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f1000,plain,
    ( ~ spl0_117
    | spl0_2 ),
    inference(avatar_split_clause,[],[f250,f422,f997]) ).

fof(f1002,definition,
    ( spl0_118
  <=> c2_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1004,plain,
    ( ~ c2_1(a851)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1005,plain,
    ( ~ spl0_118
    | spl0_2 ),
    inference(avatar_split_clause,[],[f249,f422,f1002]) ).

fof(f1007,definition,
    ( spl0_119
  <=> c1_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_119
    | spl0_2 ),
    inference(avatar_split_clause,[],[f248,f422,f1007]) ).

fof(f1013,definition,
    ( spl0_120
  <=> c2_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1016,plain,
    ( spl0_120
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f246,f595,f1013]) ).

fof(f1018,definition,
    ( spl0_121
  <=> c0_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1021,plain,
    ( ~ spl0_121
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f158,f595,f1018]) ).

fof(f1023,definition,
    ( spl0_122
  <=> c3_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1025,plain,
    ( c3_1(a846)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f1023]) ).

fof(f1026,plain,
    ( spl0_122
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f159,f595,f1023]) ).

fof(f1029,definition,
    ( spl0_123
  <=> c1_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1032,plain,
    ( spl0_123
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f245,f643,f1029]) ).

fof(f1034,definition,
    ( spl0_124
  <=> c0_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ spl0_124
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f162,f643,f1034]) ).

fof(f1039,definition,
    ( spl0_125
  <=> c3_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1041,plain,
    ( c3_1(a845)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1042,plain,
    ( spl0_125
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f163,f643,f1039]) ).

fof(f1045,definition,
    ( spl0_126
  <=> c2_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1048,plain,
    ( spl0_126
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f244,f431,f1045]) ).

fof(f1050,definition,
    ( spl0_127
  <=> c1_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1053,plain,
    ( spl0_127
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f243,f431,f1050]) ).

fof(f1055,definition,
    ( spl0_128
  <=> c3_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1057,plain,
    ( c3_1(a844)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1055]) ).

fof(f1058,plain,
    ( spl0_128
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f431,f1055]) ).

fof(f1061,definition,
    ( spl0_129
  <=> c3_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1063,plain,
    ( ~ c3_1(a843)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( ~ spl0_129
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f169,f471,f1061]) ).

fof(f1066,definition,
    ( spl0_130
  <=> c0_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1069,plain,
    ( ~ spl0_130
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f170,f471,f1066]) ).

fof(f1071,definition,
    ( spl0_131
  <=> c1_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ spl0_131
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f242,f471,f1071]) ).

fof(f1077,definition,
    ( spl0_132
  <=> c2_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1079,plain,
    ( c2_1(a841)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1080,plain,
    ( spl0_132
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f241,f489,f1077]) ).

fof(f1082,definition,
    ( spl0_133
  <=> c1_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ spl0_133
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f240,f489,f1082]) ).

fof(f1087,definition,
    ( spl0_134
  <=> c0_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1089,plain,
    ( c0_1(a841)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1090,plain,
    ( spl0_134
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f175,f489,f1087]) ).

fof(f1093,definition,
    ( spl0_135
  <=> c3_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1095,plain,
    ( ~ c3_1(a838)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1096,plain,
    ( ~ spl0_135
    | spl0_14 ),
    inference(avatar_split_clause,[],[f239,f476,f1093]) ).

fof(f1098,definition,
    ( spl0_136
  <=> c2_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1101,plain,
    ( spl0_136
    | spl0_14 ),
    inference(avatar_split_clause,[],[f238,f476,f1098]) ).

fof(f1103,definition,
    ( spl0_137
  <=> c1_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1106,plain,
    ( ~ spl0_137
    | spl0_14 ),
    inference(avatar_split_clause,[],[f237,f476,f1103]) ).

fof(f1109,definition,
    ( spl0_138
  <=> c1_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1112,plain,
    ( spl0_138
    | spl0_12 ),
    inference(avatar_split_clause,[],[f235,f466,f1109]) ).

fof(f1114,definition,
    ( spl0_139
  <=> c3_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1116,plain,
    ( c3_1(a836)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1117,plain,
    ( spl0_139
    | spl0_12 ),
    inference(avatar_split_clause,[],[f234,f466,f1114]) ).

fof(f1119,definition,
    ( spl0_140
  <=> c0_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1121,plain,
    ( c0_1(a836)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1122,plain,
    ( spl0_140
    | spl0_12 ),
    inference(avatar_split_clause,[],[f233,f466,f1119]) ).

fof(f1123,plain,
    ( spl0_22
    | spl0_12 ),
    inference(avatar_split_clause,[],[f232,f466,f512]) ).

fof(f1125,definition,
    ( spl0_141
  <=> c3_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1127,plain,
    ( ~ c3_1(a835)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1125]) ).

fof(f1128,plain,
    ( ~ spl0_141
    | spl0_18 ),
    inference(avatar_split_clause,[],[f231,f494,f1125]) ).

fof(f1130,definition,
    ( spl0_142
  <=> c2_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1133,plain,
    ( spl0_142
    | spl0_18 ),
    inference(avatar_split_clause,[],[f230,f494,f1130]) ).

fof(f1135,definition,
    ( spl0_143
  <=> c0_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1138,plain,
    ( ~ spl0_143
    | spl0_18 ),
    inference(avatar_split_clause,[],[f229,f494,f1135]) ).

fof(f1141,definition,
    ( spl0_144
  <=> c3_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1143,plain,
    ( ~ c3_1(a833)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1141]) ).

fof(f1144,plain,
    ( ~ spl0_144
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f189,f587,f1141]) ).

fof(f1146,definition,
    ( spl0_145
  <=> c2_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1149,plain,
    ( ~ spl0_145
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f227,f587,f1146]) ).

fof(f1151,definition,
    ( spl0_146
  <=> c0_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1154,plain,
    ( spl0_146
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f191,f587,f1151]) ).

fof(f1157,definition,
    ( spl0_147
  <=> c3_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1159,plain,
    ( ~ c3_1(a832)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1157]) ).

fof(f1160,plain,
    ( ~ spl0_147
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f193,f485,f1157]) ).

fof(f1162,definition,
    ( spl0_148
  <=> c2_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1165,plain,
    ( spl0_148
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f226,f485,f1162]) ).

fof(f1167,definition,
    ( spl0_149
  <=> c1_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1170,plain,
    ( spl0_149
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f225,f485,f1167]) ).

fof(f1178,definition,
    ( spl0_151
  <=> c3_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1180,plain,
    ( c3_1(a831)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1181,plain,
    ( spl0_151
    | spl0_36 ),
    inference(avatar_split_clause,[],[f223,f570,f1178]) ).

fof(f1183,definition,
    ( spl0_152
  <=> c2_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ spl0_152
    | spl0_36 ),
    inference(avatar_split_clause,[],[f222,f570,f1183]) ).

fof(f1189,definition,
    ( spl0_153
  <=> c2_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1192,plain,
    ( spl0_153
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f220,f448,f1189]) ).

fof(f1194,definition,
    ( spl0_154
  <=> c1_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1197,plain,
    ( spl0_154
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f219,f448,f1194]) ).

fof(f1199,definition,
    ( spl0_155
  <=> c0_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1201,plain,
    ( c0_1(a830)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1202,plain,
    ( spl0_155
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f203,f448,f1199]) ).

fof(f1205,definition,
    ( spl0_156
  <=> c3_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ c3_1(a829)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1208,plain,
    ( ~ spl0_156
    | spl0_3 ),
    inference(avatar_split_clause,[],[f218,f427,f1205]) ).

fof(f1210,definition,
    ( spl0_157
  <=> c1_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1213,plain,
    ( spl0_157
    | spl0_3 ),
    inference(avatar_split_clause,[],[f217,f427,f1210]) ).

fof(f1215,definition,
    ( spl0_158
  <=> c0_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1217,plain,
    ( ~ c0_1(a829)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1218,plain,
    ( ~ spl0_158
    | spl0_3 ),
    inference(avatar_split_clause,[],[f216,f427,f1215]) ).

fof(f1221,definition,
    ( spl0_159
  <=> c0_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1223,plain,
    ( ~ c0_1(a828)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1221]) ).

fof(f1224,plain,
    ( ~ spl0_159
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f209,f435,f1221]) ).

fof(f1226,definition,
    ( spl0_160
  <=> c2_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1229,plain,
    ( ~ spl0_160
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f214,f435,f1226]) ).

fof(f1231,definition,
    ( spl0_161
  <=> c1_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1234,plain,
    ( ~ spl0_161
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f213,f435,f1231]) ).

fof(f1238,plain,
    ( c2_1(a866)
    | c1_1(a866)
    | ~ spl0_26
    | ~ spl0_95 ),
    inference(resolution,[],[f530,f881]) ).

fof(f1241,definition,
    ( spl0_162
  <=> c1_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1246,definition,
    ( spl0_163
  <=> c2_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1248,plain,
    ( c2_1(a866)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1249,plain,
    ( spl0_94
    | spl0_163
    | ~ spl0_26
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1238,f879,f529,f1246,f874]) ).

fof(f1260,plain,
    ( c2_1(a851)
    | ~ c0_1(a851)
    | ~ spl0_27
    | spl0_117 ),
    inference(resolution,[],[f534,f999]) ).

fof(f1262,plain,
    ( c2_1(a859)
    | ~ c0_1(a859)
    | ~ spl0_27
    | spl0_108 ),
    inference(resolution,[],[f534,f951]) ).

fof(f1272,definition,
    ( spl0_164
  <=> c0_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1273,plain,
    ( c0_1(a884)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1272]) ).

fof(f1277,definition,
    ( spl0_165
  <=> c0_1(a868) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1278,plain,
    ( c0_1(a868)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1277]) ).

fof(f1283,definition,
    ( spl0_166
  <=> c2_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1286,plain,
    ( ~ spl0_110
    | spl0_166
    | ~ spl0_27
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1262,f949,f533,f1283,f959]) ).

fof(f1288,definition,
    ( spl0_167
  <=> c0_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1290,plain,
    ( ~ c0_1(a851)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f1291,plain,
    ( ~ spl0_167
    | spl0_118
    | ~ spl0_27
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1260,f997,f533,f1002,f1288]) ).

fof(f1293,definition,
    ( spl0_168
  <=> c0_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1298,definition,
    ( spl0_169
  <=> c0_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1300,plain,
    ( ~ c0_1(a838)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1303,definition,
    ( spl0_170
  <=> c0_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1308,definition,
    ( spl0_171
  <=> c0_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1315,plain,
    ( c1_1(a833)
    | ~ c0_1(a833)
    | ~ spl0_28
    | spl0_144 ),
    inference(resolution,[],[f538,f1143]) ).

fof(f1326,plain,
    ( c1_1(a866)
    | ~ c0_1(a866)
    | ~ spl0_28
    | spl0_93 ),
    inference(resolution,[],[f538,f871]) ).

fof(f1333,plain,
    ( ~ spl0_95
    | spl0_94
    | ~ spl0_28
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1326,f869,f537,f874,f879]) ).

fof(f1338,definition,
    ( spl0_172
  <=> c2_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1358,plain,
    ( c2_1(a851)
    | c1_1(a851)
    | ~ spl0_34
    | spl0_117 ),
    inference(resolution,[],[f564,f999]) ).

fof(f1370,definition,
    ( spl0_173
  <=> c2_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1393,definition,
    ( spl0_177
  <=> c1_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1402,plain,
    ( spl0_119
    | spl0_118
    | ~ spl0_34
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1358,f997,f563,f1002,f1007]) ).

fof(f1415,definition,
    ( spl0_181
  <=> c2_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1426,definition,
    ( spl0_183
  <=> c1_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1433,definition,
    ( spl0_184
  <=> c2_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1450,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(resolution,[],[f538,f542]) ).

fof(f1457,plain,
    ( c1_1(a851)
    | ~ c0_1(a851)
    | ~ spl0_28
    | spl0_117 ),
    inference(resolution,[],[f538,f999]) ).

fof(f1462,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1450]) ).

fof(f1463,plain,
    ( spl0_33
    | ~ spl0_28
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1462,f541,f537,f559]) ).

fof(f1470,plain,
    ( c1_1(a839)
    | ~ c2_1(a839)
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(resolution,[],[f560,f785]) ).

fof(f1473,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_37 ),
    inference(resolution,[],[f575,f542]) ).

fof(f1486,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_29
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1473]) ).

fof(f1490,plain,
    ( ~ c2_1(a839)
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_77 ),
    inference(resolution,[],[f1486,f785]) ).

fof(f1496,plain,
    ( ~ c1_1(a836)
    | c2_1(a836)
    | ~ spl0_41
    | ~ spl0_139 ),
    inference(resolution,[],[f592,f1116]) ).

fof(f1510,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(resolution,[],[f600,f575]) ).

fof(f1513,plain,
    ( ~ c1_1(a836)
    | ~ c0_1(a836)
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f600,f1116]) ).

fof(f1524,plain,
    ( ~ c1_1(a875)
    | ~ c0_1(a875)
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(resolution,[],[f600,f727]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1510]) ).

fof(f1530,plain,
    ( c1_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_28
    | spl0_135 ),
    inference(resolution,[],[f1095,f538]) ).

fof(f1532,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(resolution,[],[f614,f542]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1532]) ).

fof(f1560,plain,
    ( c1_1(a857)
    | c2_1(a857)
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(resolution,[],[f550,f743]) ).

fof(f1561,plain,
    ( c1_1(a875)
    | c2_1(a875)
    | ~ spl0_31
    | ~ spl0_66 ),
    inference(resolution,[],[f550,f727]) ).

fof(f1564,plain,
    ( spl0_67
    | spl0_162
    | ~ spl0_31
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1561,f725,f549,f1241,f730]) ).

fof(f1565,plain,
    ( spl0_70
    | spl0_71
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1560,f741,f549,f751,f746]) ).

fof(f1577,plain,
    ( ~ c0_1(a832)
    | ~ c1_1(a832)
    | ~ spl0_46
    | spl0_147 ),
    inference(resolution,[],[f614,f1159]) ).

fof(f1578,plain,
    ( ~ c0_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_46
    | spl0_144 ),
    inference(resolution,[],[f614,f1143]) ).

fof(f1589,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(resolution,[],[f619,f614]) ).

fof(f1590,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(resolution,[],[f619,f575]) ).

fof(f1593,plain,
    ( ~ c1_1(a836)
    | ~ c2_1(a836)
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(resolution,[],[f619,f1116]) ).

fof(f1604,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1590]) ).

fof(f1605,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1589]) ).

fof(f1611,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(resolution,[],[f637,f619]) ).

fof(f1613,plain,
    ( ~ c1_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_50
    | spl0_156 ),
    inference(resolution,[],[f637,f1207]) ).

fof(f1615,plain,
    ( ~ c1_1(a832)
    | ~ c2_1(a832)
    | ~ spl0_50
    | spl0_147 ),
    inference(resolution,[],[f637,f1159]) ).

fof(f1627,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1611]) ).

fof(f1630,plain,
    ( ~ c1_1(a830)
    | ~ c2_1(a830)
    | ~ spl0_49
    | ~ spl0_155 ),
    inference(resolution,[],[f1201,f629]) ).

fof(f1631,plain,
    ( ~ c2_1(a830)
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_155 ),
    inference(resolution,[],[f1201,f1486]) ).

fof(f1633,plain,
    ( ~ spl0_153
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1631,f1199,f574,f541,f1189]) ).

fof(f1637,plain,
    ( spl0_49
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1546,f613,f541,f628]) ).

fof(f1638,plain,
    ( spl0_49
    | ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1605,f618,f613,f628]) ).

fof(f1644,plain,
    ( c1_1(a863)
    | ~ c2_1(a863)
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(resolution,[],[f929,f560]) ).

fof(f1647,plain,
    ( c1_1(a841)
    | ~ c2_1(a841)
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(resolution,[],[f1089,f560]) ).

fof(f1649,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(resolution,[],[f517,f538]) ).

fof(f1662,plain,
    ( ~ c0_1(a839)
    | c1_1(a839)
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(resolution,[],[f517,f775]) ).

fof(f1663,plain,
    ( ~ c0_1(a857)
    | c1_1(a857)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f517,f743]) ).

fof(f1666,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1649]) ).

fof(f1669,definition,
    ( spl0_185
  <=> c0_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1672,plain,
    ( spl0_71
    | ~ spl0_185
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1663,f741,f516,f1669,f751]) ).

fof(f1673,plain,
    ( spl0_76
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1662,f773,f516,f783,f778]) ).

fof(f1686,plain,
    ( c2_1(a849)
    | c1_1(a849)
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(resolution,[],[f530,f769]) ).

fof(f1687,plain,
    ( c2_1(a875)
    | c1_1(a875)
    | ~ spl0_26
    | ~ spl0_68 ),
    inference(resolution,[],[f530,f737]) ).

fof(f1692,plain,
    ( ~ spl0_173
    | spl0_76
    | ~ spl0_33
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1470,f783,f559,f778,f1370]) ).

fof(f1696,plain,
    ( c2_1(a843)
    | c1_1(a843)
    | ~ spl0_34
    | spl0_129 ),
    inference(resolution,[],[f1063,f564]) ).

fof(f1699,plain,
    ( c2_1(a833)
    | ~ c0_1(a833)
    | ~ spl0_27
    | spl0_144 ),
    inference(resolution,[],[f534,f1143]) ).

fof(f1710,plain,
    ( ~ c0_1(a832)
    | ~ c2_1(a832)
    | ~ spl0_37
    | spl0_147 ),
    inference(resolution,[],[f575,f1159]) ).

fof(f1718,plain,
    ( ~ c0_1(a859)
    | ~ c2_1(a859)
    | ~ spl0_37
    | spl0_108 ),
    inference(resolution,[],[f575,f951]) ).

fof(f1721,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(resolution,[],[f623,f575]) ).

fof(f1724,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(resolution,[],[f623,f538]) ).

fof(f1732,plain,
    ( ~ c2_1(a884)
    | c1_1(a884)
    | ~ spl0_48
    | ~ spl0_88 ),
    inference(resolution,[],[f623,f844]) ).

fof(f1739,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1724]) ).

fof(f1740,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1721]) ).

fof(f1746,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(resolution,[],[f648,f564]) ).

fof(f1747,plain,
    ( c0_1(a831)
    | c2_1(a831)
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(resolution,[],[f648,f1180]) ).

fof(f1757,plain,
    ( c0_1(a857)
    | c2_1(a857)
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(resolution,[],[f648,f743]) ).

fof(f1759,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1746]) ).

fof(f1769,plain,
    ( ~ spl0_183
    | ~ spl0_146
    | ~ spl0_46
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1578,f1141,f613,f1151,f1426]) ).

fof(f1772,plain,
    ( spl0_70
    | spl0_185
    | ~ spl0_52
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1757,f741,f647,f1669,f746]) ).

fof(f1773,plain,
    ( spl0_152
    | spl0_171
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1747,f1178,f647,f1308,f1183]) ).

fof(f1780,plain,
    ( ~ spl0_146
    | spl0_183
    | ~ spl0_28
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1315,f1141,f537,f1426,f1151]) ).

fof(f1805,plain,
    ( c1_1(a884)
    | ~ c2_1(a884)
    | ~ spl0_33
    | ~ spl0_164 ),
    inference(resolution,[],[f1273,f560]) ).

fof(f1836,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(resolution,[],[f653,f614]) ).

fof(f1839,plain,
    ( ~ c0_1(a831)
    | c2_1(a831)
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(resolution,[],[f653,f1180]) ).

fof(f1845,plain,
    ( ~ c0_1(a839)
    | c2_1(a839)
    | ~ spl0_53
    | ~ spl0_75 ),
    inference(resolution,[],[f653,f775]) ).

fof(f1846,plain,
    ( ~ c0_1(a857)
    | c2_1(a857)
    | ~ spl0_53
    | ~ spl0_69 ),
    inference(resolution,[],[f653,f743]) ).

fof(f1850,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1836]) ).

fof(f1854,plain,
    ( spl0_70
    | ~ spl0_185
    | ~ spl0_53
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1846,f741,f652,f1669,f746]) ).

fof(f1859,plain,
    ( spl0_44
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1850,f652,f613,f605]) ).

fof(f1876,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_55 ),
    inference(resolution,[],[f661,f530]) ).

fof(f1899,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1876]) ).

fof(f1902,plain,
    ( spl0_55
    | ~ spl0_34
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1759,f647,f563,f660]) ).

fof(f1908,plain,
    ( c1_1(a851)
    | ~ spl0_26
    | ~ spl0_55
    | spl0_118 ),
    inference(resolution,[],[f1899,f1004]) ).

fof(f1933,plain,
    ( c2_1(a851)
    | c1_1(a851)
    | ~ spl0_55
    | spl0_167 ),
    inference(resolution,[],[f661,f1290]) ).

fof(f1945,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_54
    | ~ spl0_56 ),
    inference(resolution,[],[f667,f656]) ).

fof(f1948,plain,
    ( c2_1(a829)
    | c0_1(a829)
    | ~ spl0_56
    | spl0_156 ),
    inference(resolution,[],[f667,f1207]) ).

fof(f1953,plain,
    ( c2_1(a843)
    | c0_1(a843)
    | ~ spl0_56
    | spl0_129 ),
    inference(resolution,[],[f667,f1063]) ).

fof(f1956,plain,
    ( c2_1(a851)
    | c0_1(a851)
    | ~ spl0_56
    | spl0_117 ),
    inference(resolution,[],[f667,f999]) ).

fof(f1959,plain,
    ( c2_1(a868)
    | c0_1(a868)
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f667,f855]) ).

fof(f1961,plain,
    ( c2_1(a890)
    | c0_1(a890)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f667,f823]) ).

fof(f1964,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_54
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1945]) ).

fof(f1966,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_56
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1961,f821,f666,f831,f826]) ).

fof(f1969,plain,
    ( spl0_167
    | spl0_118
    | ~ spl0_56
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1956,f997,f666,f1002,f1288]) ).

fof(f1975,plain,
    ( c1_1(a841)
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(resolution,[],[f1666,f1089]) ).

fof(f2028,plain,
    ( c1_1(a838)
    | ~ c2_1(a838)
    | ~ spl0_60
    | spl0_169 ),
    inference(resolution,[],[f689,f1300]) ).

fof(f2037,plain,
    ( c1_1(a864)
    | ~ c2_1(a864)
    | ~ spl0_60
    | spl0_100 ),
    inference(resolution,[],[f689,f908]) ).

fof(f2054,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(resolution,[],[f694,f656]) ).

fof(f2056,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(resolution,[],[f694,f623]) ).

fof(f2057,plain,
    ( c0_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_61
    | spl0_156 ),
    inference(resolution,[],[f694,f1207]) ).

fof(f2058,plain,
    ( c0_1(a832)
    | ~ c2_1(a832)
    | ~ spl0_61
    | spl0_147 ),
    inference(resolution,[],[f694,f1159]) ).

fof(f2060,plain,
    ( c0_1(a835)
    | ~ c2_1(a835)
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f694,f1127]) ).

fof(f2062,plain,
    ( c0_1(a843)
    | ~ c2_1(a843)
    | ~ spl0_61
    | spl0_129 ),
    inference(resolution,[],[f694,f1063]) ).

fof(f2072,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2056]) ).

fof(f2074,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2054]) ).

fof(f2084,plain,
    ( spl0_60
    | ~ spl0_48
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2072,f693,f622,f688]) ).

fof(f2085,plain,
    ( spl0_60
    | ~ spl0_54
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2074,f693,f655,f688]) ).

fof(f2093,plain,
    ( c0_1(a845)
    | ~ c1_1(a845)
    | ~ spl0_62
    | ~ spl0_125 ),
    inference(resolution,[],[f701,f1041]) ).

fof(f2101,plain,
    ( ~ spl0_123
    | spl0_124
    | ~ spl0_62
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2093,f1039,f700,f1034,f1029]) ).

fof(f2106,plain,
    ( c2_1(a829)
    | ~ c1_1(a829)
    | ~ spl0_63
    | spl0_158 ),
    inference(resolution,[],[f705,f1217]) ).

fof(f2120,plain,
    ( c2_1(a865)
    | ~ c1_1(a865)
    | ~ spl0_63
    | spl0_97 ),
    inference(resolution,[],[f705,f892]) ).

fof(f2129,plain,
    ( ~ spl0_96
    | spl0_98
    | ~ spl0_63
    | spl0_97 ),
    inference(avatar_split_clause,[],[f2120,f890,f704,f895,f885]) ).

fof(f2133,plain,
    ( ~ spl0_157
    | spl0_184
    | ~ spl0_63
    | spl0_158 ),
    inference(avatar_split_clause,[],[f2106,f1215,f704,f1433,f1210]) ).

fof(f2137,plain,
    ( spl0_119
    | ~ spl0_26
    | ~ spl0_55
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1908,f1002,f660,f529,f1007]) ).

fof(f2138,plain,
    ( spl0_49
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1604,f618,f574,f628]) ).

fof(f2186,plain,
    ( ~ c1_1(a858)
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_111 ),
    inference(resolution,[],[f1627,f967]) ).

fof(f2196,plain,
    ( ~ spl0_112
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2186,f965,f636,f618,f970]) ).

fof(f2240,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(resolution,[],[f567,f623]) ).

fof(f2245,plain,
    ( c1_1(a838)
    | ~ c2_1(a838)
    | ~ spl0_35
    | spl0_135 ),
    inference(resolution,[],[f567,f1095]) ).

fof(f2257,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f2240]) ).

fof(f2264,plain,
    ( ~ spl0_136
    | spl0_137
    | ~ spl0_35
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2245,f1093,f566,f1103,f1098]) ).

fof(f2270,plain,
    ( c2_1(a836)
    | ~ c1_1(a836)
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(resolution,[],[f606,f1121]) ).

fof(f2272,plain,
    ( c2_1(a861)
    | ~ c1_1(a861)
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(resolution,[],[f606,f945]) ).

fof(f2276,plain,
    ( c2_1(a868)
    | ~ c1_1(a868)
    | ~ spl0_44
    | ~ spl0_165 ),
    inference(resolution,[],[f606,f1278]) ).

fof(f2281,plain,
    ( c2_1(a875)
    | ~ c1_1(a875)
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(resolution,[],[f606,f737]) ).

fof(f2283,plain,
    ( ~ spl0_162
    | spl0_67
    | ~ spl0_44
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2281,f735,f605,f730,f1241]) ).

fof(f2286,plain,
    ( ~ spl0_91
    | spl0_92
    | ~ spl0_44
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f2276,f1277,f605,f863,f858]) ).

fof(f2289,plain,
    ( ~ spl0_105
    | spl0_106
    | ~ spl0_44
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2272,f943,f605,f938,f933]) ).

fof(f2290,plain,
    ( ~ spl0_138
    | spl0_172
    | ~ spl0_44
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2270,f1119,f605,f1338,f1109]) ).

fof(f2294,plain,
    ( ~ spl0_146
    | spl0_145
    | ~ spl0_27
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1699,f1141,f533,f1146,f1151]) ).

fof(f2296,plain,
    ( spl0_172
    | ~ spl0_138
    | ~ spl0_41
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1496,f1114,f591,f1109,f1338]) ).

fof(f2307,plain,
    ( spl0_119
    | spl0_118
    | ~ spl0_55
    | spl0_167 ),
    inference(avatar_split_clause,[],[f1933,f1288,f660,f1002,f1007]) ).

fof(f2313,plain,
    ( ~ spl0_166
    | ~ spl0_110
    | ~ spl0_37
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1718,f949,f574,f959,f1283]) ).

fof(f2331,plain,
    ( ~ spl0_148
    | spl0_170
    | ~ spl0_61
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2058,f1157,f693,f1303,f1162]) ).

fof(f2333,plain,
    ( ~ spl0_181
    | spl0_130
    | ~ spl0_61
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2062,f1061,f693,f1066,f1415]) ).

fof(f2356,plain,
    ( ~ c2_1(a836)
    | ~ c0_1(a836)
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(resolution,[],[f542,f1116]) ).

fof(f2357,plain,
    ( ~ c2_1(a844)
    | ~ c0_1(a844)
    | ~ spl0_29
    | ~ spl0_128 ),
    inference(resolution,[],[f542,f1057]) ).

fof(f2360,plain,
    ( ~ c2_1(a863)
    | ~ c0_1(a863)
    | ~ spl0_29
    | ~ spl0_103 ),
    inference(resolution,[],[f542,f924]) ).

fof(f2362,plain,
    ( ~ c2_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_29
    | ~ spl0_75 ),
    inference(resolution,[],[f542,f775]) ).

fof(f2366,plain,
    ( ~ spl0_104
    | ~ spl0_102
    | ~ spl0_29
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2360,f922,f541,f917,f927]) ).

fof(f2367,plain,
    ( ~ spl0_99
    | spl0_101
    | ~ spl0_60
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2037,f906,f688,f911,f901]) ).

fof(f2370,plain,
    ( spl0_73
    | spl0_72
    | ~ spl0_26
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1686,f767,f529,f757,f762]) ).

fof(f2371,plain,
    ( spl0_162
    | spl0_67
    | ~ spl0_26
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1687,f735,f529,f730,f1241]) ).

fof(f2380,plain,
    ( ~ spl0_169
    | spl0_137
    | ~ spl0_28
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1530,f1093,f537,f1103,f1298]) ).

fof(f2388,plain,
    ( spl0_49
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1526,f599,f574,f628]) ).

fof(f2389,plain,
    ( ~ spl0_148
    | ~ spl0_170
    | ~ spl0_37
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1710,f1157,f574,f1303,f1162]) ).

fof(f2392,plain,
    ( ~ spl0_149
    | ~ spl0_170
    | ~ spl0_46
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1577,f1157,f613,f1303,f1167]) ).

fof(f2404,plain,
    ( c0_1(a884)
    | c1_1(a884)
    | ~ spl0_54
    | ~ spl0_88 ),
    inference(resolution,[],[f844,f656]) ).

fof(f2406,plain,
    ( c0_1(a853)
    | c1_1(a853)
    | ~ spl0_54
    | ~ spl0_115 ),
    inference(resolution,[],[f988,f656]) ).

fof(f2409,plain,
    ( ~ spl0_68
    | ~ spl0_162
    | ~ spl0_43
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1524,f725,f599,f1241,f735]) ).

fof(f2413,plain,
    ( ~ spl0_153
    | ~ spl0_154
    | ~ spl0_49
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1630,f1199,f628,f1194,f1189]) ).

fof(f2445,plain,
    ( c1_1(a841)
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_132 ),
    inference(resolution,[],[f2257,f1079]) ).

fof(f2454,plain,
    ( c1_1(a864)
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_99 ),
    inference(resolution,[],[f2257,f903]) ).

fof(f2455,plain,
    ( c1_1(a866)
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(resolution,[],[f2257,f1248]) ).

fof(f2464,plain,
    ( spl0_94
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f2455,f1246,f622,f566,f874]) ).

fof(f2465,plain,
    ( spl0_101
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2454,f901,f622,f566,f911]) ).

fof(f2468,plain,
    ( spl0_133
    | ~ spl0_35
    | ~ spl0_48
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2445,f1077,f622,f566,f1082]) ).

fof(f2477,plain,
    ( spl0_33
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1740,f622,f574,f559]) ).

fof(f2482,plain,
    ( spl0_33
    | ~ spl0_28
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1739,f622,f537,f559]) ).

fof(f2483,plain,
    ( ~ spl0_136
    | spl0_137
    | ~ spl0_60
    | spl0_169 ),
    inference(avatar_split_clause,[],[f2028,f1298,f688,f1103,f1098]) ).

fof(f2498,plain,
    ( ~ spl0_167
    | spl0_119
    | ~ spl0_28
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1457,f997,f537,f1007,f1288]) ).

fof(f2549,plain,
    ( c1_1(a839)
    | c2_1(a839)
    | ~ spl0_31
    | ~ spl0_75 ),
    inference(resolution,[],[f550,f775]) ).

fof(f2620,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(resolution,[],[f614,f600]) ).

fof(f2628,plain,
    ( ~ c0_1(a859)
    | ~ c1_1(a859)
    | ~ spl0_46
    | spl0_108 ),
    inference(resolution,[],[f614,f951]) ).

fof(f2632,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f2620]) ).

fof(f2638,plain,
    ( ~ c1_1(a863)
    | ~ spl0_43
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(resolution,[],[f2632,f929]) ).

fof(f2654,plain,
    ( ~ c1_1(a844)
    | ~ c2_1(a844)
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(resolution,[],[f619,f1057]) ).

fof(f2657,plain,
    ( ~ c1_1(a863)
    | ~ c2_1(a863)
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(resolution,[],[f619,f924]) ).

fof(f2668,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2654,f1055,f618,f1050,f1045]) ).

fof(f2677,plain,
    ( ~ spl0_173
    | ~ spl0_29
    | ~ spl0_37
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1490,f783,f574,f541,f1370]) ).

fof(f2699,plain,
    ( spl0_89
    | spl0_164
    | ~ spl0_54
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2404,f842,f655,f1272,f847]) ).

fof(f2702,plain,
    ( ~ spl0_148
    | ~ spl0_149
    | ~ spl0_50
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1615,f1157,f636,f1167,f1162]) ).

fof(f2755,plain,
    ( c0_1(a857)
    | c1_1(a857)
    | ~ spl0_54
    | ~ spl0_69 ),
    inference(resolution,[],[f656,f743]) ).

fof(f2758,plain,
    ( c2_1(a828)
    | c1_1(a828)
    | ~ spl0_55
    | spl0_159 ),
    inference(resolution,[],[f661,f1223]) ).

fof(f2776,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(resolution,[],[f673,f648]) ).

fof(f2780,plain,
    ( c1_1(a843)
    | c0_1(a843)
    | ~ spl0_57
    | spl0_129 ),
    inference(resolution,[],[f673,f1063]) ).

fof(f2789,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2776]) ).

fof(f2793,plain,
    ( spl0_130
    | spl0_131
    | ~ spl0_57
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2780,f1061,f672,f1071,f1066]) ).

fof(f2800,plain,
    ( c0_1(a844)
    | ~ c2_1(a844)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f677,f1057]) ).

fof(f2801,plain,
    ( c0_1(a846)
    | ~ c2_1(a846)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f677,f1025]) ).

fof(f2809,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2801,f1023,f676,f1018,f1013]) ).

fof(f2810,plain,
    ( ~ spl0_126
    | spl0_168
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2800,f1055,f676,f1293,f1045]) ).

fof(f2815,plain,
    ( ~ spl0_102
    | spl0_177
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1644,f927,f559,f1393,f917]) ).

fof(f2816,plain,
    ( ~ spl0_132
    | spl0_133
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1647,f1087,f559,f1082,f1077]) ).

fof(f2819,plain,
    ( ~ spl0_87
    | spl0_89
    | ~ spl0_33
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1805,f1272,f559,f847,f837]) ).

fof(f2831,plain,
    ( ~ spl0_109
    | ~ spl0_110
    | ~ spl0_46
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2628,f949,f613,f959,f954]) ).

fof(f2832,plain,
    ( spl0_55
    | ~ spl0_52
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2789,f672,f647,f660]) ).

fof(f2833,plain,
    ( ~ spl0_184
    | spl0_158
    | ~ spl0_61
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2057,f1205,f693,f1215,f1433]) ).

fof(f2834,plain,
    ( ~ spl0_142
    | spl0_143
    | ~ spl0_61
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2060,f1125,f693,f1135,f1130]) ).

fof(f2838,plain,
    ( ~ spl0_184
    | ~ spl0_157
    | ~ spl0_50
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1613,f1205,f636,f1210,f1433]) ).

fof(f2847,plain,
    ( spl0_133
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1975,f1087,f537,f516,f1082]) ).

fof(f2860,plain,
    ( spl0_173
    | spl0_76
    | ~ spl0_31
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2549,f773,f549,f778,f1370]) ).

fof(f2861,plain,
    ( ~ spl0_140
    | ~ spl0_138
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1513,f1114,f599,f1109,f1119]) ).

fof(f2867,plain,
    ( ~ spl0_177
    | ~ spl0_43
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2638,f927,f613,f599,f1393]) ).

fof(f2868,plain,
    ( ~ spl0_172
    | ~ spl0_138
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1593,f1114,f618,f1109,f1338]) ).

fof(f2871,plain,
    ( ~ spl0_102
    | ~ spl0_177
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2657,f922,f618,f1393,f917]) ).

fof(f2872,plain,
    ( spl0_152
    | ~ spl0_171
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1839,f1178,f652,f1308,f1183]) ).

fof(f2875,plain,
    ( spl0_173
    | ~ spl0_77
    | ~ spl0_53
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1845,f773,f652,f783,f1370]) ).

fof(f2877,plain,
    ( spl0_158
    | spl0_184
    | ~ spl0_56
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1948,f1205,f666,f1433,f1215]) ).

fof(f2882,plain,
    ( spl0_130
    | spl0_181
    | ~ spl0_56
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1953,f1061,f666,f1415,f1066]) ).

fof(f2884,plain,
    ( spl0_165
    | spl0_92
    | ~ spl0_56
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1959,f853,f666,f863,f1277]) ).

fof(f2891,plain,
    ( ~ spl0_140
    | ~ spl0_172
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2356,f1114,f541,f1338,f1119]) ).

fof(f2892,plain,
    ( ~ spl0_168
    | ~ spl0_126
    | ~ spl0_29
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2357,f1055,f541,f1045,f1293]) ).

fof(f2893,plain,
    ( ~ spl0_77
    | ~ spl0_173
    | ~ spl0_29
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2362,f773,f541,f1370,f783]) ).

fof(f2896,plain,
    ( spl0_131
    | spl0_181
    | ~ spl0_34
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1696,f1061,f563,f1415,f1071]) ).

fof(f2900,plain,
    ( spl0_89
    | ~ spl0_87
    | ~ spl0_48
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1732,f842,f622,f837,f847]) ).

fof(f2903,plain,
    ( spl0_116
    | spl0_114
    | ~ spl0_54
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f2406,f986,f655,f981,f991]) ).

fof(f2908,plain,
    ( spl0_55
    | ~ spl0_54
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1964,f666,f655,f660]) ).

fof(f2914,plain,
    ( spl0_71
    | spl0_185
    | ~ spl0_54
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2755,f741,f655,f1669,f751]) ).

fof(f2922,plain,
    ( spl0_161
    | spl0_160
    | ~ spl0_55
    | spl0_159 ),
    inference(avatar_split_clause,[],[f2758,f1221,f660,f1226,f1231]) ).

fof(f2926,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2801,f1023,f676,f1018,f1013]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s3,plain,
    ( spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s4,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s10,plain,
    ( spl0_13
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s14,plain,
    ( spl0_6
    | ~ spl0_18
    | ~ spl0_22
    | spl0_27 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s15,plain,
    ( spl0_16
    | ~ spl0_19
    | ~ spl0_22
    | spl0_28 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s17,plain,
    ( ~ spl0_22
    | spl0_29
    | ~ spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s18,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_23
    | spl0_29 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s19,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s20,plain,
    ( spl0_16
    | ~ spl0_22
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s21,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s24,plain,
    ( spl0_6
    | ~ spl0_22
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | ~ spl0_22
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s26,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_22
    | spl0_43 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_22
    | spl0_26
    | spl0_43 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s28,plain,
    ( ~ spl0_20
    | ~ spl0_22
    | spl0_34
    | spl0_44 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s30,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_31
    | spl0_46 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s31,plain,
    ( ~ spl0_15
    | ~ spl0_22
    | spl0_33
    | spl0_46 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s33,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s34,plain,
    ( ~ spl0_22
    | spl0_42
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s35,plain,
    ( ~ spl0_22
    | spl0_32
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s36,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_22
    | spl0_49 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s37,plain,
    ( ~ spl0_12
    | spl0_17
    | ~ spl0_22
    | spl0_49 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s38,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | spl0_27
    | spl0_49 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s39,plain,
    ( ~ spl0_7
    | ~ spl0_22
    | spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s40,plain,
    ( ~ spl0_22
    | spl0_29
    | ~ spl0_36
    | spl0_49 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s42,plain,
    ( spl0_8
    | spl0_17
    | ~ spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s43,plain,
    ( ~ spl0_22
    | ~ spl0_25
    | spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s44,plain,
    ( ~ spl0_22
    | spl0_27
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s45,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s46,plain,
    ( ~ spl0_22
    | spl0_40
    | spl0_43
    | spl0_52 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s48,plain,
    ( ~ spl0_22
    | spl0_37
    | spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s50,plain,
    ( ~ spl0_22
    | spl0_31
    | spl0_37
    | spl0_55 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s51,plain,
    ( spl0_1
    | ~ spl0_22
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s52,plain,
    ( spl0_11
    | ~ spl0_22
    | ~ spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s53,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_23
    | spl0_56 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s54,plain,
    ( ~ spl0_22
    | ~ spl0_30
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s55,plain,
    ( ~ spl0_7
    | spl0_16
    | ~ spl0_22
    | spl0_57 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s57,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_26
    | spl0_58 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s58,plain,
    ( spl0_16
    | ~ spl0_22
    | spl0_27
    | spl0_58 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s59,plain,
    ( ~ spl0_22
    | ~ spl0_25
    | spl0_28
    | spl0_58 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s60,plain,
    ( ~ spl0_22
    | spl0_33
    | spl0_58
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s61,plain,
    ( ~ spl0_2
    | ~ spl0_22
    | spl0_51
    | spl0_60 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s63,plain,
    ( spl0_4
    | spl0_16
    | ~ spl0_22
    | spl0_61 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s65,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_26
    | spl0_61 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s67,plain,
    ( ~ spl0_22
    | spl0_53
    | spl0_55
    | spl0_62 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s68,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_22
    | spl0_63 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s80,plain,
    ( spl0_15
    | spl0_66 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s81,plain,
    ( spl0_15
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s82,plain,
    ( spl0_15
    | spl0_68 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s84,plain,
    ( ~ spl0_10
    | spl0_69 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s85,plain,
    ( ~ spl0_10
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s86,plain,
    ( ~ spl0_10
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s88,plain,
    ( spl0_25
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s89,plain,
    ( spl0_25
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s90,plain,
    ( spl0_25
    | spl0_74 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s92,plain,
    ( spl0_20
    | spl0_75 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s93,plain,
    ( spl0_20
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s94,plain,
    ( spl0_20
    | spl0_77 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s104,plain,
    ( ~ spl0_21
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s105,plain,
    ( ~ spl0_21
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s106,plain,
    ( ~ spl0_21
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s108,plain,
    ( ~ spl0_32
    | spl0_87 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s109,plain,
    ( ~ spl0_32
    | spl0_88 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s110,plain,
    ( ~ spl0_32
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s112,plain,
    ( ~ spl0_9
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s113,plain,
    ( ~ spl0_9
    | spl0_91 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s114,plain,
    ( ~ spl0_9
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s116,plain,
    ( spl0_19
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s117,plain,
    ( spl0_19
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s118,plain,
    ( spl0_19
    | spl0_95 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s120,plain,
    ( ~ spl0_1
    | spl0_96 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | spl0_22 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s124,plain,
    ( spl0_38
    | spl0_99 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s125,plain,
    ( spl0_38
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s126,plain,
    ( spl0_38
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s128,plain,
    ( ~ spl0_11
    | spl0_102 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s129,plain,
    ( ~ spl0_11
    | spl0_103 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s130,plain,
    ( ~ spl0_11
    | spl0_104 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s132,plain,
    ( spl0_30
    | spl0_105 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s133,plain,
    ( spl0_30
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s134,plain,
    ( spl0_30
    | spl0_107 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s136,plain,
    ( spl0_7
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s137,plain,
    ( spl0_7
    | spl0_109 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s138,plain,
    ( spl0_7
    | spl0_110 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s140,plain,
    ( ~ spl0_6
    | spl0_111 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s141,plain,
    ( ~ spl0_6
    | spl0_112 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s144,plain,
    ( spl0_59
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s145,plain,
    ( spl0_59
    | spl0_115 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s146,plain,
    ( spl0_59
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f994]) ).

cnf(s148,plain,
    ( spl0_2
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s149,plain,
    ( spl0_2
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s150,plain,
    ( spl0_2
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s152,plain,
    ( ~ spl0_42
    | spl0_120 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s153,plain,
    ( ~ spl0_42
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s154,plain,
    ( ~ spl0_42
    | spl0_122 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s156,plain,
    ( ~ spl0_51
    | spl0_123 ),
    inference(sat_conversion,[],[f1032]) ).

cnf(s157,plain,
    ( ~ spl0_51
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s158,plain,
    ( ~ spl0_51
    | spl0_125 ),
    inference(sat_conversion,[],[f1042]) ).

cnf(s160,plain,
    ( ~ spl0_4
    | spl0_126 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s161,plain,
    ( ~ spl0_4
    | spl0_127 ),
    inference(sat_conversion,[],[f1053]) ).

cnf(s162,plain,
    ( ~ spl0_4
    | spl0_128 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s164,plain,
    ( ~ spl0_13
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s165,plain,
    ( ~ spl0_13
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s166,plain,
    ( ~ spl0_13
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s168,plain,
    ( ~ spl0_17
    | spl0_132 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s169,plain,
    ( ~ spl0_17
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s170,plain,
    ( ~ spl0_17
    | spl0_134 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s172,plain,
    ( spl0_14
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s173,plain,
    ( spl0_14
    | spl0_136 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s174,plain,
    ( spl0_14
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1106]) ).

cnf(s176,plain,
    ( spl0_12
    | spl0_138 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s177,plain,
    ( spl0_12
    | spl0_139 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s178,plain,
    ( spl0_12
    | spl0_140 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s179,plain,
    ( spl0_12
    | spl0_22 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s180,plain,
    ( spl0_18
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s181,plain,
    ( spl0_18
    | spl0_142 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s182,plain,
    ( spl0_18
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s184,plain,
    ( ~ spl0_40
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1144]) ).

cnf(s185,plain,
    ( ~ spl0_40
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1149]) ).

cnf(s186,plain,
    ( ~ spl0_40
    | spl0_146 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s188,plain,
    ( ~ spl0_16
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s189,plain,
    ( ~ spl0_16
    | spl0_148 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s190,plain,
    ( ~ spl0_16
    | spl0_149 ),
    inference(sat_conversion,[],[f1170]) ).

cnf(s193,plain,
    ( spl0_36
    | spl0_151 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s194,plain,
    ( spl0_36
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s196,plain,
    ( ~ spl0_8
    | spl0_153 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s197,plain,
    ( ~ spl0_8
    | spl0_154 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s198,plain,
    ( ~ spl0_8
    | spl0_155 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s200,plain,
    ( spl0_3
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s201,plain,
    ( spl0_3
    | spl0_157 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s202,plain,
    ( spl0_3
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s204,plain,
    ( ~ spl0_5
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s205,plain,
    ( ~ spl0_5
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s206,plain,
    ( ~ spl0_5
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s209,plain,
    ( ~ spl0_26
    | spl0_94
    | ~ spl0_95
    | spl0_163 ),
    inference(sat_conversion,[],[f1249]) ).

cnf(s213,plain,
    ( ~ spl0_27
    | spl0_108
    | ~ spl0_110
    | spl0_166 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s214,plain,
    ( ~ spl0_27
    | spl0_117
    | spl0_118
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s219,plain,
    ( ~ spl0_28
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s230,plain,
    ( ~ spl0_34
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f1402]) ).

cnf(s242,plain,
    ( ~ spl0_28
    | ~ spl0_29
    | spl0_33 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s248,plain,
    ( ~ spl0_31
    | ~ spl0_66
    | spl0_67
    | spl0_162 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s249,plain,
    ( ~ spl0_31
    | ~ spl0_69
    | spl0_70
    | spl0_71 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s260,plain,
    ( ~ spl0_29
    | ~ spl0_37
    | ~ spl0_153
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s264,plain,
    ( ~ spl0_29
    | ~ spl0_46
    | spl0_49 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s266,plain,
    ( ~ spl0_46
    | ~ spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s272,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | spl0_71
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f1672]) ).

cnf(s273,plain,
    ( ~ spl0_23
    | ~ spl0_75
    | spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s280,plain,
    ( ~ spl0_33
    | spl0_76
    | ~ spl0_77
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s291,plain,
    ( ~ spl0_46
    | spl0_144
    | ~ spl0_146
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s294,plain,
    ( ~ spl0_52
    | ~ spl0_69
    | spl0_70
    | spl0_185 ),
    inference(sat_conversion,[],[f1772]) ).

cnf(s295,plain,
    ( ~ spl0_52
    | ~ spl0_151
    | spl0_152
    | spl0_171 ),
    inference(sat_conversion,[],[f1773]) ).

cnf(s302,plain,
    ( ~ spl0_28
    | spl0_144
    | ~ spl0_146
    | spl0_183 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s314,plain,
    ( ~ spl0_53
    | ~ spl0_69
    | spl0_70
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s319,plain,
    ( spl0_44
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s322,plain,
    ( ~ spl0_34
    | ~ spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f1902]) ).

cnf(s326,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s329,plain,
    ( ~ spl0_56
    | spl0_117
    | spl0_118
    | spl0_167 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s348,plain,
    ( ~ spl0_48
    | spl0_60
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f2084]) ).

cnf(s349,plain,
    ( ~ spl0_54
    | spl0_60
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s350,plain,
    ( ~ spl0_62
    | ~ spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2101]) ).

cnf(s354,plain,
    ( ~ spl0_63
    | ~ spl0_96
    | spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s358,plain,
    ( ~ spl0_63
    | ~ spl0_157
    | spl0_158
    | spl0_184 ),
    inference(sat_conversion,[],[f2133]) ).

cnf(s362,plain,
    ( ~ spl0_26
    | ~ spl0_55
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s363,plain,
    ( ~ spl0_37
    | ~ spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s378,plain,
    ( ~ spl0_47
    | ~ spl0_50
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s394,plain,
    ( ~ spl0_35
    | spl0_135
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s396,plain,
    ( ~ spl0_44
    | spl0_67
    | ~ spl0_68
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s399,plain,
    ( ~ spl0_44
    | ~ spl0_91
    | spl0_92
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2286]) ).

cnf(s402,plain,
    ( ~ spl0_44
    | ~ spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s403,plain,
    ( ~ spl0_44
    | ~ spl0_138
    | ~ spl0_140
    | spl0_172 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s407,plain,
    ( ~ spl0_27
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2294]) ).

cnf(s409,plain,
    ( ~ spl0_41
    | ~ spl0_138
    | ~ spl0_139
    | spl0_172 ),
    inference(sat_conversion,[],[f2296]) ).

cnf(s420,plain,
    ( ~ spl0_55
    | spl0_118
    | spl0_119
    | spl0_167 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s426,plain,
    ( ~ spl0_37
    | spl0_108
    | ~ spl0_110
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s441,plain,
    ( ~ spl0_61
    | spl0_147
    | ~ spl0_148
    | spl0_170 ),
    inference(sat_conversion,[],[f2331]) ).

cnf(s443,plain,
    ( ~ spl0_61
    | spl0_129
    | spl0_130
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2333]) ).

cnf(s446,plain,
    ( ~ spl0_29
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2366]) ).

cnf(s447,plain,
    ( ~ spl0_60
    | ~ spl0_99
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s450,plain,
    ( ~ spl0_26
    | spl0_72
    | spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s451,plain,
    ( ~ spl0_26
    | spl0_67
    | ~ spl0_68
    | spl0_162 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s460,plain,
    ( ~ spl0_28
    | spl0_135
    | spl0_137
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2380]) ).

cnf(s468,plain,
    ( ~ spl0_37
    | ~ spl0_43
    | spl0_49 ),
    inference(sat_conversion,[],[f2388]) ).

cnf(s469,plain,
    ( ~ spl0_37
    | spl0_147
    | ~ spl0_148
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2389]) ).

cnf(s472,plain,
    ( ~ spl0_46
    | spl0_147
    | ~ spl0_149
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2392]) ).

cnf(s484,plain,
    ( ~ spl0_43
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2409]) ).

cnf(s488,plain,
    ( ~ spl0_49
    | ~ spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s501,plain,
    ( ~ spl0_35
    | ~ spl0_48
    | spl0_94
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2464]) ).

cnf(s502,plain,
    ( ~ spl0_35
    | ~ spl0_48
    | ~ spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f2465]) ).

cnf(s505,plain,
    ( ~ spl0_35
    | ~ spl0_48
    | ~ spl0_132
    | spl0_133 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s516,plain,
    ( spl0_33
    | ~ spl0_37
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s521,plain,
    ( ~ spl0_28
    | spl0_33
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2482]) ).

cnf(s522,plain,
    ( ~ spl0_60
    | ~ spl0_136
    | spl0_137
    | spl0_169 ),
    inference(sat_conversion,[],[f2483]) ).

cnf(s538,plain,
    ( ~ spl0_28
    | spl0_117
    | spl0_119
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s554,plain,
    ( ~ spl0_47
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2668]) ).

cnf(s563,plain,
    ( ~ spl0_29
    | ~ spl0_37
    | ~ spl0_77
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2677]) ).

cnf(s570,plain,
    ( ~ spl0_54
    | ~ spl0_88
    | spl0_89
    | spl0_164 ),
    inference(sat_conversion,[],[f2699]) ).

cnf(s573,plain,
    ( ~ spl0_50
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2702]) ).

cnf(s577,plain,
    ( ~ spl0_57
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f2793]) ).

cnf(s579,plain,
    ( ~ spl0_58
    | ~ spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2809]) ).

cnf(s580,plain,
    ( ~ spl0_58
    | ~ spl0_126
    | ~ spl0_128
    | spl0_168 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s585,plain,
    ( ~ spl0_33
    | ~ spl0_102
    | ~ spl0_104
    | spl0_177 ),
    inference(sat_conversion,[],[f2815]) ).

cnf(s586,plain,
    ( ~ spl0_33
    | ~ spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2816]) ).

cnf(s589,plain,
    ( ~ spl0_33
    | ~ spl0_87
    | spl0_89
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2819]) ).

cnf(s603,plain,
    ( ~ spl0_46
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2831]) ).

cnf(s604,plain,
    ( ~ spl0_52
    | spl0_55
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2832]) ).

cnf(s605,plain,
    ( ~ spl0_61
    | spl0_156
    | spl0_158
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2833]) ).

cnf(s606,plain,
    ( ~ spl0_61
    | spl0_141
    | ~ spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f2834]) ).

cnf(s610,plain,
    ( ~ spl0_50
    | spl0_156
    | ~ spl0_157
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2838]) ).

cnf(s619,plain,
    ( ~ spl0_23
    | ~ spl0_28
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2847]) ).

cnf(s632,plain,
    ( ~ spl0_31
    | ~ spl0_75
    | spl0_76
    | spl0_173 ),
    inference(sat_conversion,[],[f2860]) ).

cnf(s633,plain,
    ( ~ spl0_43
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s639,plain,
    ( ~ spl0_43
    | ~ spl0_46
    | ~ spl0_104
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2867]) ).

cnf(s640,plain,
    ( ~ spl0_47
    | ~ spl0_138
    | ~ spl0_139
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2868]) ).

cnf(s643,plain,
    ( ~ spl0_47
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2871]) ).

cnf(s644,plain,
    ( ~ spl0_53
    | ~ spl0_151
    | spl0_152
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2872]) ).

cnf(s647,plain,
    ( ~ spl0_53
    | ~ spl0_75
    | ~ spl0_77
    | spl0_173 ),
    inference(sat_conversion,[],[f2875]) ).

cnf(s649,plain,
    ( ~ spl0_56
    | spl0_156
    | spl0_158
    | spl0_184 ),
    inference(sat_conversion,[],[f2877]) ).

cnf(s654,plain,
    ( ~ spl0_56
    | spl0_129
    | spl0_130
    | spl0_181 ),
    inference(sat_conversion,[],[f2882]) ).

cnf(s656,plain,
    ( ~ spl0_56
    | spl0_90
    | spl0_92
    | spl0_165 ),
    inference(sat_conversion,[],[f2884]) ).

cnf(s663,plain,
    ( ~ spl0_29
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2891]) ).

cnf(s664,plain,
    ( ~ spl0_29
    | ~ spl0_126
    | ~ spl0_128
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2892]) ).

cnf(s665,plain,
    ( ~ spl0_29
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2893]) ).

cnf(s668,plain,
    ( ~ spl0_34
    | spl0_129
    | spl0_131
    | spl0_181 ),
    inference(sat_conversion,[],[f2896]) ).

cnf(s673,plain,
    ( ~ spl0_48
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2900]) ).

cnf(s676,plain,
    ( ~ spl0_54
    | spl0_114
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f2903]) ).

cnf(s681,plain,
    ( ~ spl0_54
    | spl0_55
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2908]) ).

cnf(s687,plain,
    ( ~ spl0_54
    | ~ spl0_69
    | spl0_71
    | spl0_185 ),
    inference(sat_conversion,[],[f2914]) ).

cnf(s695,plain,
    ( ~ spl0_55
    | spl0_159
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f2922]) ).

cnf(s699,plain,
    ( ~ spl0_58
    | ~ spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2926]) ).

cnf(s702,plain,
    ( ~ spl0_55
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s606,s180,s181,s182,s14,s65,s214,s362,s420,s179,s5,s150,s149,s148,s1]) ).

cnf(s703,plain,
    ( spl0_6
    | spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s610,s649,s44,s53,s407,s273,s184,s185,s186,s92,s93,s94,s24,s28,s409,s403,s640,s51,s702,s179,s178,s177,s176,s5,s230,s148,s149,s150,s1,s202,s201,s200]) ).

cnf(s704,plain,
    ( ~ spl0_47
    | ~ spl0_111
    | ~ spl0_112
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s53,s273,s329,s92,s93,s94,s214,s28,s44,s403,s378,s640,s179,s178,s177,s176,s5,s230,s148,s149,s150,s1]) ).

cnf(s705,plain,
    ( spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s273,s92,s93,s94,s28,s402,s132,s133,s134,s54,s687,s272,s53,s649,s605,s84,s86,s65,s27,s362,s51,s704,s140,s141,s703,s179,s633,s176,s177,s178,s5,s230,s148,s149,s150,s1,s202,s200]) ).

cnf(s707,plain,
    ( ~ spl0_44
    | spl0_31
    | spl0_12 ),
    inference(rat,[],[s402,s132,s133,s134,s17,s663,s403,s179,s178,s177,s176]) ).

cnf(s708,plain,
    ( ~ spl0_16
    | ~ spl0_50 ),
    inference(rat,[],[s573,s188,s189,s190]) ).

cnf(s709,plain,
    ( spl0_7
    | ~ spl0_46 ),
    inference(rat,[],[s603,s136,s137,s138]) ).

cnf(s711,plain,
    ( ~ spl0_17
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(rat,[],[s505,s168,s169]) ).

cnf(s712,plain,
    ( ~ spl0_5
    | ~ spl0_55 ),
    inference(rat,[],[s695,s204,s205,s206]) ).

cnf(s713,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s152,s699,s153,s154,s34,s709,s33,s673,s108,s109,s110,s20,s586,s168,s169,s170,s68,s712,s58,s708,s358,s610,s44,s707,s249,s84,s85,s86,s27,s214,s362,s420,s51,s554,s160,s161,s162,s705,s200,s201,s202,s179,s150,s149,s148,s1,s633,s176,s177,s178,s5]) ).

cnf(s714,plain,
    ( ~ spl0_55
    | spl0_1 ),
    inference(rat,[],[s707,s44,s249,s708,s84,s85,s86,s58,s27,s214,s362,s420,s150,s149,s148,s1,s579,s153,s154,s152,s25,s713,s179,s633,s176,s177,s178,s5]) ).

cnf(s715,plain,
    spl0_1,
    inference(rat,[],[s554,s160,s161,s162,s53,s326,s104,s105,s106,s11,s273,s92,s93,s94,s28,s403,s640,s51,s714,s713,s230,s148,s149,s150,s176,s177,s178,s179,s1,s5]) ).

cnf(s716,plain,
    spl0_22,
    inference(rat,[],[s123,s715]) ).

cnf(s717,plain,
    ~ spl0_98,
    inference(rat,[],[s122,s715]) ).

cnf(s718,plain,
    ~ spl0_97,
    inference(rat,[],[s121,s715]) ).

cnf(s719,plain,
    spl0_96,
    inference(rat,[],[s120,s715]) ).

cnf(s720,plain,
    ~ spl0_63,
    inference(rat,[],[s354,s717,s718,s719]) ).

cnf(s721,plain,
    ( ~ spl0_42
    | ~ spl0_58 ),
    inference(rat,[],[s699,s152,s153,s154]) ).

cnf(s722,plain,
    ( ~ spl0_51
    | ~ spl0_62 ),
    inference(rat,[],[s350,s156,s157,s158]) ).

cnf(s723,plain,
    ( spl0_55
    | ~ spl0_57
    | spl0_53
    | ~ spl0_46
    | spl0_43 ),
    inference(rat,[],[s488,s196,s197,s198,s45,s722,s39,s302,s291,s184,s186,s46,s604,s67,s709,s716]) ).

cnf(s724,plain,
    ( spl0_27
    | spl0_43
    | spl0_44
    | spl0_47 ),
    inference(rat,[],[s673,s108,s109,s110,s20,s586,s168,s169,s170,s68,s712,s723,s55,s33,s709,s319,s34,s721,s58,s708,s44,s716,s720]) ).

cnf(s725,plain,
    ( spl0_33
    | spl0_16
    | ~ spl0_27
    | spl0_47 ),
    inference(rat,[],[s676,s144,s145,s146,s60,s48,s721,s426,s34,s213,s709,s136,s138,s33,s673,s108,s109,s110,s20,s716]) ).

cnf(s726,plain,
    ( ~ spl0_17
    | ~ spl0_33 ),
    inference(rat,[],[s586,s168,s169,s170]) ).

cnf(s727,plain,
    ( ~ spl0_46
    | spl0_53
    | spl0_55
    | spl0_16
    | spl0_43 ),
    inference(rat,[],[s55,s723,s709,s716]) ).

cnf(s728,plain,
    ( spl0_16
    | spl0_43
    | spl0_117
    | spl0_44
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s426,s213,s136,s138,s33,s673,s108,s109,s110,s35,s727,s50,s632,s647,s280,s92,s93,s94,s28,s230,s150,s712,s8,s68,s726,s725,s724,s716,s720]) ).

cnf(s729,plain,
    ( ~ spl0_46
    | spl0_33
    | ~ spl0_2
    | ~ spl0_16
    | spl0_47 ),
    inference(rat,[],[s488,s196,s197,s198,s57,s580,s664,s160,s162,s65,s19,s450,s88,s89,s90,s43,s39,s521,s441,s33,s472,s709,s190,s189,s188,s708,s716]) ).

cnf(s730,plain,
    ( ~ spl0_55
    | ~ spl0_16
    | spl0_167
    | ~ spl0_27
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s426,s213,s48,s136,s138,s676,s33,s144,s145,s146,s673,s60,s108,s109,s110,s721,s35,s34,s729,s726,s150,s68,s420,s712,s716,s720]) ).

cnf(s731,plain,
    ( ~ spl0_17
    | ~ spl0_46
    | ~ spl0_16
    | spl0_117
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s230,s150,s21,s729,s711,s726,s33,s709,s716]) ).

cnf(s732,plain,
    ( ~ spl0_32
    | ~ spl0_48 ),
    inference(rat,[],[s673,s108,s109,s110]) ).

cnf(s733,plain,
    ( ~ spl0_40
    | ~ spl0_27 ),
    inference(rat,[],[s407,s184,s185,s186]) ).

cnf(s735,plain,
    ( spl0_19
    | ~ spl0_28 ),
    inference(rat,[],[s219,s116,s117,s118]) ).

cnf(s736,plain,
    ( ~ spl0_46
    | spl0_34
    | ~ spl0_16
    | spl0_43
    | spl0_117
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s394,s172,s173,s174,s26,s735,s21,s39,s488,s196,s197,s198,s42,s731,s709,s708,s716]) ).

cnf(s737,plain,
    ( spl0_43
    | spl0_117
    | spl0_44
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s676,s144,s145,s146,s60,s280,s632,s48,s50,s426,s213,s136,s138,s33,s732,s721,s35,s34,s736,s92,s93,s94,s28,s322,s46,s733,s730,s728,s214,s724,s716]) ).

cnf(s738,plain,
    ( spl0_12
    | ~ spl0_43 ),
    inference(rat,[],[s633,s176,s177,s178]) ).

cnf(s739,plain,
    ( ~ spl0_16
    | ~ spl0_46
    | ~ spl0_12
    | spl0_117
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s488,s196,s197,s198,s37,s42,s731,s708,s716]) ).

cnf(s740,plain,
    ( ~ spl0_46
    | spl0_117
    | spl0_44
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s488,s196,s197,s198,s45,s722,s604,s67,s712,s37,s68,s726,s20,s55,s739,s732,s33,s709,s319,s738,s737,s716,s720]) ).

cnf(s741,plain,
    ( ~ spl0_54
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89
    | spl0_58 ),
    inference(rat,[],[s676,s144,s145,s146,s60,s589,s570,s716]) ).

cnf(s742,plain,
    ( spl0_46
    | spl0_44
    | spl0_47 ),
    inference(rat,[],[s708,s58,s44,s213,s426,s48,s741,s136,s138,s33,s732,s108,s109,s110,s721,s35,s34,s716]) ).

cnf(s743,plain,
    ( ~ spl0_16
    | ~ spl0_2
    | spl0_53
    | ~ spl0_46
    | spl0_47 ),
    inference(rat,[],[s460,s522,s172,s173,s174,s26,s738,s735,s61,s37,s39,s722,s488,s67,s196,s197,s198,s712,s42,s68,s726,s729,s708,s709,s716,s720]) ).

cnf(s744,plain,
    ( spl0_44
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s726,s8,s20,s743,s732,s148,s33,s740,s709,s319,s742,s716]) ).

cnf(s745,plain,
    ( spl0_117
    | ~ spl0_16
    | ~ spl0_46
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s38,s733,s150,s46,s230,s322,s488,s736,s196,s197,s198,s712,s738,s42,s68,s739,s731,s708,s716,s720]) ).

cnf(s746,plain,
    ( ~ spl0_16
    | ~ spl0_46
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s295,s46,s644,s733,s738,s193,s194,s38,s37,s40,s264,s488,s196,s197,s198,s42,s726,s729,s743,s148,s745,s708,s716]) ).

cnf(s747,plain,
    ( ~ spl0_8
    | ~ spl0_49 ),
    inference(rat,[],[s488,s196,s197,s198]) ).

cnf(s748,plain,
    ( spl0_30
    | ~ spl0_44 ),
    inference(rat,[],[s402,s132,s133,s134]) ).

cnf(s749,plain,
    ( spl0_43
    | ~ spl0_35
    | spl0_16
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30 ),
    inference(rat,[],[s687,s314,s54,s84,s85,s86,s649,s27,s610,s209,s42,s501,s200,s201,s202,s747,s117,s118,s25,s39,s15,s721,s302,s58,s291,s733,s184,s186,s46,s727,s604,s712,s68,s726,s20,s732,s55,s709,s716,s720]) ).

cnf(s750,plain,
    ( ~ spl0_11
    | ~ spl0_43
    | ~ spl0_33
    | ~ spl0_46 ),
    inference(rat,[],[s585,s639,s128,s130]) ).

cnf(s751,plain,
    ( spl0_38
    | ~ spl0_35
    | ~ spl0_48 ),
    inference(rat,[],[s502,s124,s126]) ).

cnf(s753,plain,
    ( ~ spl0_9
    | ~ spl0_56
    | ~ spl0_44 ),
    inference(rat,[],[s656,s399,s112,s113,s114]) ).

cnf(s758,plain,
    ( ~ spl0_13
    | ~ spl0_57 ),
    inference(rat,[],[s577,s164,s165,s166]) ).

cnf(s759,plain,
    ( ~ spl0_46
    | spl0_118
    | spl0_47 ),
    inference(rat,[],[s647,s563,s92,s94,s10,s758,s17,s50,s249,s84,s85,s86,s4,s753,s52,s751,s750,s67,s722,s45,s747,s37,s738,s749,s21,s230,s604,s148,s150,s712,s8,s68,s726,s20,s55,s746,s732,s33,s709,s748,s744,s716,s720]) ).

cnf(s760,plain,
    ( ~ spl0_8
    | ~ spl0_167
    | spl0_117
    | spl0_43
    | spl0_27
    | ~ spl0_37
    | spl0_58
    | ~ spl0_30 ),
    inference(rat,[],[s249,s84,s85,s86,s27,s450,s88,s89,s90,s59,s538,s150,s17,s38,s260,s747,s196,s198,s716]) ).

cnf(s761,plain,
    ( spl0_8
    | spl0_50
    | spl0_58
    | spl0_46
    | ~ spl0_44 ),
    inference(rat,[],[s451,s396,s81,s82,s31,s726,s57,s42,s716]) ).

cnf(s762,plain,
    ( spl0_118
    | spl0_47 ),
    inference(rat,[],[s468,s760,s329,s148,s38,s747,s761,s708,s58,s213,s426,s136,s138,s54,s48,s33,s741,s732,s108,s109,s110,s721,s35,s34,s759,s748,s744,s716]) ).

cnf(s763,plain,
    ( spl0_16
    | spl0_32
    | ~ spl0_2 ),
    inference(rat,[],[s726,s8,s20,s716]) ).

cnf(s764,plain,
    ( ~ spl0_46
    | spl0_47 ),
    inference(rat,[],[s295,s46,s644,s738,s733,s193,s194,s37,s38,s40,s264,s747,s42,s726,s729,s743,s708,s763,s732,s33,s709,s149,s762,s716]) ).

cnf(s765,plain,
    spl0_47,
    inference(rat,[],[s761,s747,s708,s38,s58,s213,s426,s136,s138,s48,s33,s741,s732,s108,s109,s110,s721,s742,s35,s34,s764,s149,s762,s716]) ).

cnf(s766,plain,
    ~ spl0_4,
    inference(rat,[],[s554,s160,s161,s162,s765]) ).

cnf(s767,plain,
    ( spl0_25
    | ~ spl0_26 ),
    inference(rat,[],[s450,s88,s89,s90]) ).

cnf(s768,plain,
    ( ~ spl0_28
    | ~ spl0_17 ),
    inference(rat,[],[s326,s104,s105,s106,s18,s53,s619,s242,s170,s169,s726,s716,s766]) ).

cnf(s769,plain,
    ( ~ spl0_16
    | ~ spl0_46 ),
    inference(rat,[],[s441,s472,s188,s189,s190,s65,s767,s43,s768,s42,s378,s140,s141,s3,s747,s266,s709,s766,s716,s765]) ).

cnf(s770,plain,
    ( spl0_3
    | ~ spl0_46 ),
    inference(rat,[],[s605,s649,s200,s202,s65,s767,s43,s768,s42,s378,s140,s141,s3,s747,s266,s53,s273,s94,s92,s93,s10,s758,s55,s769,s709,s766,s716,s765]) ).

cnf(s771,plain,
    ~ spl0_46,
    inference(rat,[],[s326,s104,s105,s106,s11,s770,s53,s273,s92,s93,s94,s10,s758,s55,s769,s709,s716,s766]) ).

cnf(s772,plain,
    ( ~ spl0_33
    | spl0_50 ),
    inference(rat,[],[s585,s643,s128,s129,s130,s36,s747,s42,s726,s765,s716,s766]) ).

cnf(s773,plain,
    ( spl0_43
    | spl0_26
    | spl0_40 ),
    inference(rat,[],[s326,s53,s104,s105,s106,s272,s30,s294,s249,s84,s85,s86,s27,s46,s716,s766,s771]) ).

cnf(s774,plain,
    ( spl0_2
    | ~ spl0_55
    | ~ spl0_27
    | spl0_118 ),
    inference(rat,[],[s214,s420,s148,s150]) ).

cnf(s775,plain,
    ( ~ spl0_11
    | ~ spl0_29 ),
    inference(rat,[],[s446,s128,s129,s130]) ).

cnf(s776,plain,
    ( ~ spl0_48
    | ~ spl0_27
    | spl0_118
    | spl0_50 ),
    inference(rat,[],[s447,s124,s125,s126,s52,s775,s19,s774,s326,s104,s105,s106,s30,s50,s248,s484,s773,s348,s65,s767,s43,s516,s521,s82,s81,s80,s31,s772,s733,s716,s771,s766]) ).

cnf(s777,plain,
    ( spl0_43
    | spl0_48
    | spl0_44
    | spl0_50 ),
    inference(rat,[],[s53,s273,s681,s92,s93,s94,s48,s28,s363,s322,s747,s712,s42,s68,s768,s43,s767,s773,s46,s733,s44,s716,s766,s765,s720]) ).

cnf(s778,plain,
    ( spl0_44
    | spl0_118
    | ~ spl0_16 ),
    inference(rat,[],[s447,s124,s125,s126,s52,s775,s19,s774,s349,s50,s48,s326,s469,s104,s105,s106,s441,s30,s65,s248,s451,s484,s777,s776,s44,s189,s188,s82,s81,s80,s31,s772,s708,s716,s771,s766]) ).

cnf(s779,plain,
    ( ~ spl0_44
    | spl0_15 ),
    inference(rat,[],[s447,s124,s125,s126,s349,s52,s54,s326,s104,s105,s106,s775,s30,s65,s17,s248,s451,s748,s396,s82,s81,s80,s716,s771,s766]) ).

cnf(s780,plain,
    ( ~ spl0_48
    | ~ spl0_16 ),
    inference(rat,[],[s447,s124,s125,s126,s52,s326,s104,s105,s106,s30,s248,s775,s484,s348,s19,s773,s65,s767,s43,s521,s82,s81,s80,s733,s44,s149,s778,s779,s31,s772,s708,s716,s771,s766]) ).

cnf(s781,plain,
    ~ spl0_16,
    inference(rat,[],[s447,s124,s125,s126,s349,s52,s48,s326,s469,s104,s105,s106,s775,s441,s30,s19,s65,s248,s451,s484,s777,s780,s149,s778,s779,s80,s81,s82,s31,s772,s708,s188,s189,s716,s771,s766]) ).

cnf(s782,plain,
    spl0_61,
    inference(rat,[],[s63,s766,s716,s781]) ).

cnf(s783,plain,
    ( spl0_20
    | ~ spl0_23 ),
    inference(rat,[],[s273,s92,s93,s94]) ).

cnf(s784,plain,
    ( ~ spl0_20
    | spl0_44 ),
    inference(rat,[],[s668,s443,s164,s165,s166,s28,s10,s782,s716]) ).

cnf(s785,plain,
    ( ~ spl0_21
    | ~ spl0_56 ),
    inference(rat,[],[s326,s104,s105,s106]) ).

cnf(s786,plain,
    spl0_20,
    inference(rat,[],[s665,s632,s18,s30,s785,s53,s783,s92,s93,s94,s716,s771,s766]) ).

cnf(s787,plain,
    spl0_13,
    inference(rat,[],[s10,s786]) ).

cnf(s788,plain,
    spl0_44,
    inference(rat,[],[s784,s786]) ).

cnf(s790,plain,
    ~ spl0_130,
    inference(rat,[],[s165,s787]) ).

cnf(s791,plain,
    ~ spl0_129,
    inference(rat,[],[s164,s787]) ).

cnf(s793,plain,
    spl0_30,
    inference(rat,[],[s748,s788]) ).

cnf(s794,plain,
    spl0_15,
    inference(rat,[],[s779,s788]) ).

cnf(s795,plain,
    ~ spl0_181,
    inference(rat,[],[s443,s782,s790,s791]) ).

cnf(s797,plain,
    spl0_33,
    inference(rat,[],[s31,s771,s716,s794]) ).

cnf(s800,plain,
    ~ spl0_56,
    inference(rat,[],[s654,s791,s790,s795]) ).

cnf(s807,plain,
    spl0_54,
    inference(rat,[],[s54,s793,s716,s800]) ).

cnf(s811,plain,
    spl0_60,
    inference(rat,[],[s349,s782,s807]) ).

cnf(s826,plain,
    ~ spl0_11,
    inference(rat,[],[s585,s643,s128,s129,s130,s797,s765]) ).

cnf(s827,plain,
    ~ spl0_38,
    inference(rat,[],[s52,s800,s716,s826]) ).

cnf(s830,plain,
    ~ spl0_101,
    inference(rat,[],[s126,s827]) ).

cnf(s831,plain,
    ~ spl0_100,
    inference(rat,[],[s125,s827]) ).

cnf(s832,plain,
    spl0_99,
    inference(rat,[],[s124,s827]) ).

cnf(s840,plain,
    $false,
    inference(rat,[],[s447,s830,s811,s831,s832]) ).

fof(f2928,plain,
    $false,
    inference(avatar_sat_refutation,[],[s840]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN512+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.23  % Computer : n019.cluster.edu
% 0.12/0.23  % Model    : x86_64 x86_64
% 0.12/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23  % Memory   : 8046.5625MB
% 0.12/0.23  % OS       : Linux 6.8.0-71-generic
% 0.12/0.23  % CPULimit : 300
% 0.12/0.23  % WCLimit  : 300
% 0.12/0.23  % DateTime : Mon Sep 28 16:21:33 UTC 2026
% 0.12/0.23  % CPUTime  : 
% 0.12/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.26  Running first-order model finding
% 0.12/0.26  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.37  % (4133322)Will run a generic schedule for satisfiability detection.
% 0.23/0.37  % (4133327)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1989171029_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.37  % (4133328)% WARNING: option uhcvi not known.
% 0.23/0.37  % Detected minimum model sizes of [1]
% 0.23/0.37  % Detected maximum model sizes of [32]
% 0.23/0.37  % TRYING [1]
% 0.23/0.37  % TRYING [2]
% 0.23/0.37  % TRYING [3]
% 0.23/0.37  % (4133328)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3950880403:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.37  % (4133329)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2066395222:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.37  % (4133331)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3605247071:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.37  % TRYING [4]
% 0.23/0.37  % (4133332)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2976192135:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.37  % (4133333)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2483668782:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.37  % (4133330)dis+10_1_sil=32000:sp=arity:random_seed=37073129:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.37  % TRYING [5]
% 0.23/0.37  % (4133333) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4133322-4133333"...
% 0.23/0.37  % (4133332) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4133322-4133332"...
% 0.23/0.37  % TRYING [6]
% 0.23/0.37  % (4133328) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4133322-4133328"...
% 0.23/0.37  % (4133333)...printing done.
% 0.23/0.37  % (4133333)Refutation found. Thanks to Tanya!
% 0.23/0.37  % SZS status Theorem for theBenchmark
% 0.23/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.38  % (4133333)------------------------------
% 0.23/0.38  % (4133333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.38  % (4133333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.38  % (4133333)CaDiCaL version: 2.1.3
% 0.23/0.38  % (4133333)Termination reason: Refutation
% 0.23/0.38  % (4133333)Time elapsed: 0.047 s
% 0.23/0.38  % (4133333)Peak memory usage: 13 MB
% 0.23/0.38  % (4133333)Instructions burned: 78 (million)
% 0.23/0.38  % (4133322)Success in time 0.096 s
% 0.23/0.38  % Vampire exiting
%------------------------------------------------------------------------------