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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN450+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 02:08:40 PM UTC 2026

% Result   : Theorem 0.21s 0.28s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a641)
          & c3_1(a641)
          & ~ c1_1(a641) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a642)
          & c3_1(a642)
          & ~ c1_1(a642) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a643)
          & c2_1(a643)
          & ~ c0_1(a643) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a645)
          & c3_1(a645)
          & ~ c2_1(a645) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a646)
          & ~ c2_1(a646)
          & ~ c3_1(a646) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a647)
          & ~ c0_1(a647)
          & ~ c3_1(a647) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a648)
          & ~ c2_1(a648)
          & ~ c3_1(a648) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a651)
          & ~ c0_1(a651)
          & ~ c1_1(a651) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a652)
          & c3_1(a652)
          & ~ c2_1(a652) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a654)
          & ~ c1_1(a654)
          & ~ c2_1(a654) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a656)
          & c2_1(a656)
          & ~ c1_1(a656) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a657)
          & c2_1(a657)
          & ~ c3_1(a657) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a660)
          & ~ c1_1(a660)
          & ~ c2_1(a660) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a661)
          & ~ c1_1(a661)
          & ~ c3_1(a661) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a665)
          & ~ c0_1(a665)
          & ~ c1_1(a665) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a667)
          & ~ c0_1(a667)
          & ~ c2_1(a667) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a672)
          & ~ c2_1(a672)
          & ~ c3_1(a672) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a675)
          & ~ c1_1(a675)
          & ~ c3_1(a675) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a676)
          & c1_1(a676)
          & ~ c2_1(a676) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c3_1(a682)
          & ~ c1_1(a682)
          & ~ c2_1(a682) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a686)
          & c2_1(a686)
          & ~ c3_1(a686) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a691)
          & ~ c1_1(a691)
          & ~ c3_1(a691) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a693)
          & c3_1(a693)
          & ~ c0_1(a693) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a695)
          & ~ c0_1(a695)
          & ~ c3_1(a695) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a698)
          & ~ c0_1(a698)
          & ~ c2_1(a698) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a710)
          & ~ c2_1(a710)
          & ~ c3_1(a710) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a640)
          & c1_1(a640)
          & c3_1(a640) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a655)
          & c2_1(a655)
          & c3_1(a655) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a671)
          & c1_1(a671)
          & c2_1(a671) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a688)
          & c2_1(a688)
          & c3_1(a688) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp26
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | ~ c0_1(X3)
              | ~ c1_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | ~ c2_1(X5)
              | ~ c3_1(X5) ) )
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | hskp2
        | hskp0 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp3
        | hskp4 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | hskp5 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | hskp6
        | hskp2 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | hskp2 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c0_1(X14)
              | ~ c3_1(X14) ) )
        | hskp7 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp8 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp3 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | ~ c1_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) )
        | hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp27 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | ~ c1_1(X27) ) )
        | hskp10 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | ~ c0_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp11 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp27 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | hskp6 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | hskp12
        | hskp13 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | hskp6
        | hskp3 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c3_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c3_1(X49)
              | ~ c0_1(X49) ) )
        | hskp7 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp14
        | hskp4 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp15
        | hskp9 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp4 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) )
        | hskp12 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp28
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c3_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c3_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp7 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | ~ c0_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) )
        | hskp28
        | hskp17 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) )
        | hskp18
        | hskp4 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c0_1(X68)
              | ~ c1_1(X68) ) )
        | hskp9 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp17
        | hskp7 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp17
        | hskp19 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp11 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp8
        | hskp19 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | hskp20
        | hskp5 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) )
        | hskp29
        | hskp5 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c3_1(X78) ) )
        | hskp11
        | hskp21 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) )
        | hskp20
        | hskp22 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp5
        | hskp23 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp8 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp2
        | hskp24 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp3
        | hskp15 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | hskp1
        | hskp29 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | hskp12
        | hskp20 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c0_1(X87)
              | ~ c2_1(X87) ) )
        | hskp15
        | hskp9 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp10
        | hskp29 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp23
        | hskp25 )
      & ( hskp18
        | hskp1
        | hskp7 )
      & ( hskp18
        | hskp2
        | hskp20 )
      & ( hskp1
        | hskp14
        | hskp17 )
      & ( hskp2
        | hskp22
        | hskp19 )
      & ( hskp20
        | hskp24
        | hskp0 )
      & ( hskp24
        | hskp14
        | hskp17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a641)
            & c3_1(a641)
            & ~ c1_1(a641) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a642)
            & c3_1(a642)
            & ~ c1_1(a642) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a643)
            & c2_1(a643)
            & ~ c0_1(a643) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a645)
            & c3_1(a645)
            & ~ c2_1(a645) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a646)
            & ~ c2_1(a646)
            & ~ c3_1(a646) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a647)
            & ~ c0_1(a647)
            & ~ c3_1(a647) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a648)
            & ~ c2_1(a648)
            & ~ c3_1(a648) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a651)
            & ~ c0_1(a651)
            & ~ c1_1(a651) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a652)
            & c3_1(a652)
            & ~ c2_1(a652) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a654)
            & ~ c1_1(a654)
            & ~ c2_1(a654) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a656)
            & c2_1(a656)
            & ~ c1_1(a656) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a657)
            & c2_1(a657)
            & ~ c3_1(a657) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a660)
            & ~ c1_1(a660)
            & ~ c2_1(a660) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a661)
            & ~ c1_1(a661)
            & ~ c3_1(a661) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a665)
            & ~ c0_1(a665)
            & ~ c1_1(a665) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a667)
            & ~ c0_1(a667)
            & ~ c2_1(a667) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a672)
            & ~ c2_1(a672)
            & ~ c3_1(a672) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a675)
            & ~ c1_1(a675)
            & ~ c3_1(a675) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a676)
            & c1_1(a676)
            & ~ c2_1(a676) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a682)
            & ~ c1_1(a682)
            & ~ c2_1(a682) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a686)
            & c2_1(a686)
            & ~ c3_1(a686) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a691)
            & ~ c1_1(a691)
            & ~ c3_1(a691) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a693)
            & c3_1(a693)
            & ~ c0_1(a693) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a695)
            & ~ c0_1(a695)
            & ~ c3_1(a695) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a698)
            & ~ c0_1(a698)
            & ~ c2_1(a698) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a710)
            & ~ c2_1(a710)
            & ~ c3_1(a710) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a640)
            & c1_1(a640)
            & c3_1(a640) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a655)
            & c2_1(a655)
            & c3_1(a655) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a671)
            & c1_1(a671)
            & c2_1(a671) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a688)
            & c2_1(a688)
            & c3_1(a688) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp26
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c0_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) )
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | hskp2
          | hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp3
          | hskp4 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | hskp5 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp6
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp2 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c0_1(X14)
                | ~ c3_1(X14) ) )
          | hskp7 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp8 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp3 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c1_1(X27) ) )
          | hskp10 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp11 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp27 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | hskp6 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | hskp12
          | hskp13 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | hskp6
          | hskp3 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c3_1(X49)
                | ~ c0_1(X49) ) )
          | hskp7 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp14
          | hskp4 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp15
          | hskp9 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp4 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | hskp12 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp28
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp7 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) )
          | hskp28
          | hskp17 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp18
          | hskp4 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17
          | hskp7 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp17
          | hskp19 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp11 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp8
          | hskp19 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | hskp20
          | hskp5 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) )
          | hskp29
          | hskp5 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c3_1(X78) ) )
          | hskp11
          | hskp21 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp20
          | hskp22 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp5
          | hskp23 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp8 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp2
          | hskp24 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp3
          | hskp15 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp1
          | hskp29 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp12
          | hskp20 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c0_1(X87)
                | ~ c2_1(X87) ) )
          | hskp15
          | hskp9 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp10
          | hskp29 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp23
          | hskp25 )
        & ( hskp18
          | hskp1
          | hskp7 )
        & ( hskp18
          | hskp2
          | hskp20 )
        & ( hskp1
          | hskp14
          | hskp17 )
        & ( hskp2
          | hskp22
          | hskp19 )
        & ( hskp20
          | hskp24
          | hskp0 )
        & ( hskp24
          | hskp14
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | ~ c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | ~ c0_1(X3)
            | ~ c1_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c2_1(X5)
            | ~ c3_1(X5) ) )
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | hskp5 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | hskp2 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c0_1(X14)
            | ~ c3_1(X14) ) )
      | hskp7 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c1_1(X16)
            | ~ c2_1(X16) ) )
      | hskp8 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp3 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c3_1(X23)
            | ~ c2_1(X23) ) )
      | hskp9 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp27 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c0_1(X27)
            | ~ c1_1(X27) ) )
      | hskp10 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c3_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c2_1(X30)
            | ~ c0_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) )
      | hskp11 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) )
      | hskp27 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) )
      | hskp6 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c3_1(X49)
            | ~ c0_1(X49) ) )
      | hskp7 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp4 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) )
      | hskp12 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | ~ c3_1(X56) ) )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c3_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c0_1(X59)
            | ~ c2_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | hskp7 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | ~ c0_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c3_1(X66) ) )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | ~ c0_1(X68)
            | ~ c1_1(X68) ) )
      | hskp9 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp11 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | c3_1(X76)
            | ~ c0_1(X76) ) )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c1_1(X77) ) )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c0_1(X78)
            | ~ c3_1(X78) ) )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp8 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c0_1(X87)
            | ~ c2_1(X87) ) )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c1_1(X88)
            | ~ c2_1(X88) ) )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( c2_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( c2_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp2
    | hskp22
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp1
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp18
    | hskp2
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp18
    | hskp1
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X88] :
      ( c3_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | hskp10
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | hskp12
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X85] :
      ( c3_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | hskp1
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X83] :
      ( c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp2
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X80] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp5
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X79] :
      ( c2_1(X79)
      | ~ c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp20
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X76] :
      ( c2_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp20
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X73,X74] :
      ( c2_1(X73)
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X72,X71] :
      ( c2_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X70] :
      ( c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp17
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X69] :
      ( c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp17
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X66] :
      ( c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp18
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X65] :
      ( c1_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp28
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X62,X63,X64] :
      ( c1_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c3_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X56] :
      ( c1_1(X56)
      | c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp28
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X51] :
      ( c0_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp15
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X50] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp14
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c3_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X38] :
      ( c0_1(X38)
      | c3_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | hskp6
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c3_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | c1_1(X30)
      | c2_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ c3_1(X5)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp29
    | c3_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp29
    | c2_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp29
    | c1_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp28
    | c2_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp28
    | c1_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp28
    | c0_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp27
    | c3_1(a655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp27
    | c2_1(a655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp27
    | c0_1(a655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp24
    | ~ c2_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp24
    | ~ c0_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp24
    | c1_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp23
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp22
    | ~ c0_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp22
    | c3_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp22
    | c2_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp20
    | c2_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp20
    | c1_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp19
    | ~ c2_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp19
    | ~ c1_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp19
    | c3_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp18
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp18
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp17
    | c2_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp16
    | ~ c3_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp16
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp16
    | c1_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp15
    | ~ c2_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp15
    | ~ c0_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp15
    | c3_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp14
    | ~ c0_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp14
    | c2_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp13
    | ~ c1_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp13
    | c0_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp12
    | c0_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp11
    | c2_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp11
    | c0_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp10
    | c2_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp10
    | c0_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp9
    | ~ c2_1(a654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp9
    | ~ c1_1(a654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp9
    | ~ c0_1(a654) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp8
    | c3_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp8
    | c0_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp7
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp6
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp5
    | c1_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp4
    | ~ c2_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp3
    | c3_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp3
    | c1_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp2
    | c2_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp2
    | c1_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp1
    | c3_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp1
    | c0_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp0
    | c3_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp0
    | c2_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f187,plain,
    ! [X73,X74] :
      ( c2_1(X73)
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f188,plain,
    ! [X72,X71] :
      ( c2_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f190,plain,
    ! [X62,X63,X64] :
      ( c1_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ c1_1(X64) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f191,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c3_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f192,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f194,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f195,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c1_1(X49)
      | c3_1(X49)
      | ~ c0_1(X49)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f196,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c3_1(X46)
      | ~ c0_1(X46)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f197,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f198,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f199,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c3_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f200,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f201,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f202,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | c1_1(X30)
      | c2_1(X30)
      | ~ c0_1(X30) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f203,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f204,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c1_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f206,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f208,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f210,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f211,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f212,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ c3_1(X5)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f215,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f219,definition,
    ( spl0_2
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_3
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f226,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f223,f219,f215]) ).

fof(f228,definition,
    ( spl0_4
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f232,definition,
    ( spl0_5
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f237,definition,
    ( spl0_6
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f241,definition,
    ( spl0_7
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f245,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f248,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f245,f241,f237]) ).

fof(f250,definition,
    ( spl0_9
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f253,plain,
    ( spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f9,f250,f219,f215]) ).

fof(f255,definition,
    ( spl0_10
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f258,plain,
    ( spl0_5
    | spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f10,f255,f245,f232]) ).

fof(f260,definition,
    ( spl0_11
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f263,plain,
    ( spl0_11
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f11,f255,f250,f260]) ).

fof(f269,definition,
    ( spl0_13
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f277,definition,
    ( spl0_15
  <=> ! [X89] :
        ( ~ c0_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f281,definition,
    ( spl0_16
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_17
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_18
  <=> ! [X88] :
        ( c3_1(X88)
        | ~ c2_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f290,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | ~ c2_1(X88)
        | c3_1(X88) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f289,f273,f285,f281]) ).

fof(f293,definition,
    ( spl0_19
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f297,definition,
    ( spl0_20
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f301,definition,
    ( spl0_21
  <=> ! [X87] :
        ( c3_1(X87)
        | ~ c2_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | ~ c2_1(X87)
        | c3_1(X87) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f305,definition,
    ( spl0_22
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f308,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f15,f301,f273,f305,f232]) ).

fof(f309,plain,
    ( spl0_16
    | spl0_9
    | ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f16,f301,f273,f250,f281]) ).

fof(f311,definition,
    ( spl0_23
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_24
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | ~ c3_1(X84)
        | c2_1(X84) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f318,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f18,f315,f273,f245,f223]) ).

fof(f320,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f324,definition,
    ( spl0_26
  <=> ! [X82] :
        ( ~ c1_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f325,plain,
    ( ! [X82] :
        ( ~ c1_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f326,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f186,f315,f273,f324,f320]) ).

fof(f328,definition,
    ( spl0_27
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_28
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c3_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X80] :
        ( ~ c0_1(X80)
        | ~ c3_1(X80)
        | c2_1(X80) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( spl0_13
    | spl0_27
    | ~ spl0_14
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f332,f273,f328,f269]) ).

fof(f335,plain,
    ( spl0_7
    | spl0_5
    | ~ spl0_14
    | spl0_28 ),
    inference(avatar_split_clause,[],[f21,f332,f273,f232,f241]) ).

fof(f341,definition,
    ( spl0_30
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_31
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c1_1(X77)
        | c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | c2_1(X77)
        | c3_1(X77) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f350,definition,
    ( spl0_32
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c0_1(X76)
        | c3_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c2_1(X76)
        | c3_1(X76) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f352,plain,
    ( spl0_27
    | spl0_5
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f24,f350,f273,f232,f328]) ).

fof(f354,plain,
    ( spl0_30
    | spl0_26
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f187,f350,f273,f324,f341]) ).

fof(f355,plain,
    ( spl0_21
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f188,f350,f273,f301]) ).

fof(f357,definition,
    ( spl0_33
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c1_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_6
    | spl0_1
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f28,f357,f273,f215,f237]) ).

fof(f360,plain,
    ( spl0_11
    | spl0_1
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f357,f273,f215,f260]) ).

fof(f366,definition,
    ( spl0_35
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_36
  <=> ! [X66] :
        ( c1_1(X66)
        | ~ c3_1(X66)
        | ~ c0_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | c1_1(X66) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_35
    | spl0_10
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f31,f370,f273,f255,f366]) ).

fof(f374,definition,
    ( spl0_37
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f377,plain,
    ( spl0_1
    | spl0_37
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f32,f370,f273,f374,f215]) ).

fof(f379,definition,
    ( spl0_38
  <=> ! [X64] :
        ( c2_1(X64)
        | ~ c1_1(X64)
        | ~ c0_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | ~ c1_1(X64)
        | c2_1(X64) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f382,definition,
    ( spl0_39
  <=> ! [X62] :
        ( c1_1(X62)
        | ~ c2_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | c1_1(X62)
        | c3_1(X62) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_38
    | spl0_33
    | ~ spl0_14
    | spl0_39 ),
    inference(avatar_split_clause,[],[f190,f382,f273,f357,f379]) ).

fof(f386,definition,
    ( spl0_40
  <=> ! [X60] :
        ( c1_1(X60)
        | ~ c0_1(X60)
        | c3_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f387,plain,
    ( ! [X60] :
        ( ~ c0_1(X60)
        | c1_1(X60)
        | c3_1(X60) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f388,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f191,f386,f273,f277,f260]) ).

fof(f390,definition,
    ( spl0_41
  <=> ! [X58] :
        ( c1_1(X58)
        | ~ c2_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | ~ c2_1(X58)
        | c1_1(X58) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_21
    | spl0_41
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f192,f386,f273,f390,f301]) ).

fof(f394,definition,
    ( spl0_42
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f398,definition,
    ( spl0_43
  <=> ! [X56] :
        ( c1_1(X56)
        | ~ c3_1(X56)
        | c2_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c1_1(X56)
        | c2_1(X56) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f400,plain,
    ( spl0_42
    | spl0_37
    | ~ spl0_14
    | spl0_43 ),
    inference(avatar_split_clause,[],[f36,f398,f273,f374,f394]) ).

fof(f402,definition,
    ( spl0_44
  <=> ! [X54] :
        ( c1_1(X54)
        | ~ c0_1(X54)
        | c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c2_1(X54) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f406,definition,
    ( spl0_45
  <=> ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_35
    | spl0_43
    | ~ spl0_14
    | spl0_45 ),
    inference(avatar_split_clause,[],[f194,f406,f273,f398,f366]) ).

fof(f410,definition,
    ( spl0_46
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f412,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_14
    | spl0_46 ),
    inference(avatar_split_clause,[],[f39,f410,f273,f297,f293]) ).

fof(f413,plain,
    ( spl0_35
    | spl0_2
    | ~ spl0_14
    | spl0_46 ),
    inference(avatar_split_clause,[],[f40,f410,f273,f219,f366]) ).

fof(f414,plain,
    ( spl0_11
    | spl0_40
    | ~ spl0_14
    | spl0_46 ),
    inference(avatar_split_clause,[],[f195,f410,f273,f386,f260]) ).

fof(f416,definition,
    ( spl0_47
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c3_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | ~ c3_1(X45)
        | c0_1(X45) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_38
    | spl0_40
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f196,f416,f273,f386,f379]) ).

fof(f420,definition,
    ( spl0_48
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c2_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | ~ c2_1(X42)
        | c0_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_14
    | spl0_48 ),
    inference(avatar_split_clause,[],[f197,f420,f273,f357,f324]) ).

fof(f423,plain,
    ( spl0_15
    | spl0_33
    | ~ spl0_14
    | spl0_48 ),
    inference(avatar_split_clause,[],[f198,f420,f273,f357,f277]) ).

fof(f425,definition,
    ( spl0_49
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f429,definition,
    ( spl0_50
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c2_1(X38)
        | c3_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X38] :
        ( ~ c2_1(X38)
        | c0_1(X38)
        | c3_1(X38) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f431,plain,
    ( spl0_23
    | spl0_49
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f45,f429,f273,f425,f311]) ).

fof(f433,definition,
    ( spl0_51
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_52
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c0_1(X37)
        | c3_1(X37) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_51
    | spl0_22
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f46,f437,f273,f305,f433]) ).

fof(f440,plain,
    ( spl0_49
    | spl0_24
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f199,f437,f273,f315,f425]) ).

fof(f442,definition,
    ( spl0_53
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f445,plain,
    ( spl0_53
    | spl0_33
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f200,f437,f273,f357,f442]) ).

fof(f446,plain,
    ( spl0_30
    | spl0_47
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f201,f437,f273,f416,f341]) ).

fof(f447,plain,
    ( spl0_44
    | spl0_48
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f202,f437,f273,f420,f402]) ).

fof(f449,definition,
    ( spl0_54
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c0_1(X26)
        | c2_1(X26) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f451,plain,
    ( spl0_17
    | spl0_38
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f203,f449,f273,f379,f285]) ).

fof(f452,plain,
    ( spl0_53
    | spl0_43
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f204,f449,f273,f398,f442]) ).

fof(f454,definition,
    ( spl0_55
  <=> ! [X22] :
        ( c0_1(X22)
        | c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X22] :
        ( c0_1(X22)
        | c3_1(X22)
        | c2_1(X22) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f458,definition,
    ( spl0_56
  <=> ! [X21] :
        ( ~ c0_1(X21)
        | ~ c3_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X21] :
        ( ~ c0_1(X21)
        | ~ c3_1(X21)
        | ~ c1_1(X21) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_56
    | spl0_45
    | ~ spl0_14
    | spl0_55 ),
    inference(avatar_split_clause,[],[f206,f454,f273,f406,f458]) ).

fof(f462,definition,
    ( spl0_57
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c0_1(X17)
        | c1_1(X17) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( spl0_25
    | spl0_15
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f208,f462,f273,f277,f320]) ).

fof(f467,plain,
    ( spl0_8
    | spl0_31
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f210,f462,f273,f346,f245]) ).

fof(f469,definition,
    ( spl0_58
  <=> ! [X10] :
        ( c0_1(X10)
        | ~ c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X10] :
        ( c0_1(X10)
        | ~ c2_1(X10)
        | c1_1(X10) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_8
    | spl0_49
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f59,f469,f273,f425,f245]) ).

fof(f472,plain,
    ( spl0_27
    | spl0_39
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f469,f273,f382,f328]) ).

fof(f474,definition,
    ( spl0_59
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f62,f474,f273,f245,f228]) ).

fof(f478,plain,
    ( spl0_9
    | spl0_46
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f212,f474,f273,f410,f250]) ).

fof(f489,definition,
    ( spl0_62
  <=> c3_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f491,plain,
    ( c3_1(a688)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f492,plain,
    ( spl0_62
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f66,f281,f489]) ).

fof(f494,definition,
    ( spl0_63
  <=> c2_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f496,plain,
    ( c2_1(a688)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,plain,
    ( spl0_63
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f67,f281,f494]) ).

fof(f499,definition,
    ( spl0_64
  <=> c1_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f501,plain,
    ( c1_1(a688)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f502,plain,
    ( spl0_64
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f68,f281,f499]) ).

fof(f505,definition,
    ( spl0_65
  <=> c2_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f508,plain,
    ( spl0_65
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f70,f374,f505]) ).

fof(f510,definition,
    ( spl0_66
  <=> c1_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f512,plain,
    ( c1_1(a671)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( spl0_66
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f71,f374,f510]) ).

fof(f515,definition,
    ( spl0_67
  <=> c0_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f517,plain,
    ( c0_1(a671)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,plain,
    ( spl0_67
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f72,f374,f515]) ).

fof(f521,definition,
    ( spl0_68
  <=> c3_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f523,plain,
    ( c3_1(a655)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f524,plain,
    ( spl0_68
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f74,f442,f521]) ).

fof(f526,definition,
    ( spl0_69
  <=> c2_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f528,plain,
    ( c2_1(a655)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f529,plain,
    ( spl0_69
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f75,f442,f526]) ).

fof(f531,definition,
    ( spl0_70
  <=> c0_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f533,plain,
    ( c0_1(a655)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f534,plain,
    ( spl0_70
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f76,f442,f531]) ).

fof(f569,definition,
    ( spl0_77
  <=> c2_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ c2_1(a698)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f572,plain,
    ( ~ spl0_77
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f86,f223,f569]) ).

fof(f574,definition,
    ( spl0_78
  <=> c0_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ c0_1(a698)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,plain,
    ( ~ spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f87,f223,f574]) ).

fof(f579,definition,
    ( spl0_79
  <=> c1_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f581,plain,
    ( c1_1(a698)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f582,plain,
    ( spl0_79
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f88,f223,f579]) ).

fof(f585,definition,
    ( spl0_80
  <=> c3_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ c3_1(a695)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f588,plain,
    ( ~ spl0_80
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f90,f269,f585]) ).

fof(f590,definition,
    ( spl0_81
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f592,plain,
    ( ~ c0_1(a695)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f593,plain,
    ( ~ spl0_81
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f91,f269,f590]) ).

fof(f595,definition,
    ( spl0_82
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f597,plain,
    ( c2_1(a695)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f598,plain,
    ( spl0_82
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f92,f269,f595]) ).

fof(f601,definition,
    ( spl0_83
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ c0_1(a693)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f604,plain,
    ( ~ spl0_83
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f241,f601]) ).

fof(f606,definition,
    ( spl0_84
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f608,plain,
    ( c3_1(a693)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( spl0_84
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f95,f241,f606]) ).

fof(f611,definition,
    ( spl0_85
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f613,plain,
    ( c2_1(a693)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f614,plain,
    ( spl0_85
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f96,f241,f611]) ).

fof(f633,definition,
    ( spl0_89
  <=> c3_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c3_1(a686)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f636,plain,
    ( ~ spl0_89
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f102,f232,f633]) ).

fof(f638,definition,
    ( spl0_90
  <=> c2_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f640,plain,
    ( c2_1(a686)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f641,plain,
    ( spl0_90
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f103,f232,f638]) ).

fof(f643,definition,
    ( spl0_91
  <=> c1_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f645,plain,
    ( c1_1(a686)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f646,plain,
    ( spl0_91
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f104,f232,f643]) ).

fof(f649,definition,
    ( spl0_92
  <=> c2_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ c2_1(a682)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f652,plain,
    ( ~ spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f237,f649]) ).

fof(f654,definition,
    ( spl0_93
  <=> c1_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ c1_1(a682)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f657,plain,
    ( ~ spl0_93
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f237,f654]) ).

fof(f659,definition,
    ( spl0_94
  <=> c3_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f661,plain,
    ( c3_1(a682)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f662,plain,
    ( spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f108,f237,f659]) ).

fof(f665,definition,
    ( spl0_95
  <=> c2_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c2_1(a676)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f668,plain,
    ( ~ spl0_95
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f110,f255,f665]) ).

fof(f670,definition,
    ( spl0_96
  <=> c1_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f672,plain,
    ( c1_1(a676)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f673,plain,
    ( spl0_96
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f111,f255,f670]) ).

fof(f675,definition,
    ( spl0_97
  <=> c0_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f677,plain,
    ( c0_1(a676)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f678,plain,
    ( spl0_97
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f112,f255,f675]) ).

fof(f681,definition,
    ( spl0_98
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ c3_1(a675)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f684,plain,
    ( ~ spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f114,f215,f681]) ).

fof(f686,definition,
    ( spl0_99
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f688,plain,
    ( ~ c1_1(a675)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f115,f215,f686]) ).

fof(f691,definition,
    ( spl0_100
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f693,plain,
    ( c2_1(a675)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f694,plain,
    ( spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f116,f215,f691]) ).

fof(f695,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f117,f215,f273]) ).

fof(f697,definition,
    ( spl0_101
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ spl0_101
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f118,f394,f697]) ).

fof(f702,definition,
    ( spl0_102
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ spl0_102
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f119,f394,f702]) ).

fof(f707,definition,
    ( spl0_103
  <=> c1_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f709,plain,
    ( c1_1(a672)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f710,plain,
    ( spl0_103
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f394,f707]) ).

fof(f713,definition,
    ( spl0_104
  <=> c2_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f715,plain,
    ( ~ c2_1(a667)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f716,plain,
    ( ~ spl0_104
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f122,f297,f713]) ).

fof(f718,definition,
    ( spl0_105
  <=> c0_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_105
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f123,f297,f718]) ).

fof(f723,definition,
    ( spl0_106
  <=> c3_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f725,plain,
    ( c3_1(a667)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f726,plain,
    ( spl0_106
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f124,f297,f723]) ).

fof(f729,definition,
    ( spl0_107
  <=> c1_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f732,plain,
    ( ~ spl0_107
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f126,f219,f729]) ).

fof(f734,definition,
    ( spl0_108
  <=> c0_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f736,plain,
    ( ~ c0_1(a665)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f737,plain,
    ( ~ spl0_108
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f127,f219,f734]) ).

fof(f739,definition,
    ( spl0_109
  <=> c2_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f741,plain,
    ( c2_1(a665)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( spl0_109
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f128,f219,f739]) ).

fof(f743,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f219,f273]) ).

fof(f745,definition,
    ( spl0_110
  <=> c3_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ spl0_110
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f130,f433,f745]) ).

fof(f750,definition,
    ( spl0_111
  <=> c1_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f752,plain,
    ( ~ c1_1(a661)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f753,plain,
    ( ~ spl0_111
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f131,f433,f750]) ).

fof(f755,definition,
    ( spl0_112
  <=> c0_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f757,plain,
    ( c0_1(a661)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f758,plain,
    ( spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f132,f433,f755]) ).

fof(f761,definition,
    ( spl0_113
  <=> c2_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ spl0_113
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f134,f305,f761]) ).

fof(f766,definition,
    ( spl0_114
  <=> c1_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f768,plain,
    ( ~ c1_1(a660)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( ~ spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f135,f305,f766]) ).

fof(f771,definition,
    ( spl0_115
  <=> c0_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f773,plain,
    ( c0_1(a660)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,plain,
    ( spl0_115
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f136,f305,f771]) ).

fof(f777,definition,
    ( spl0_116
  <=> c3_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ c3_1(a657)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f780,plain,
    ( ~ spl0_116
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f138,f341,f777]) ).

fof(f782,definition,
    ( spl0_117
  <=> c2_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f784,plain,
    ( c2_1(a657)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f782]) ).

fof(f785,plain,
    ( spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f139,f341,f782]) ).

fof(f787,definition,
    ( spl0_118
  <=> c0_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f789,plain,
    ( c0_1(a657)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f790,plain,
    ( spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f140,f341,f787]) ).

fof(f793,definition,
    ( spl0_119
  <=> c1_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ spl0_119
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f142,f285,f793]) ).

fof(f798,definition,
    ( spl0_120
  <=> c2_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f800,plain,
    ( c2_1(a656)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_120
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f143,f285,f798]) ).

fof(f803,definition,
    ( spl0_121
  <=> c0_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f805,plain,
    ( c0_1(a656)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f806,plain,
    ( spl0_121
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f144,f285,f803]) ).

fof(f809,definition,
    ( spl0_122
  <=> c2_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ c2_1(a654)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f812,plain,
    ( ~ spl0_122
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f146,f293,f809]) ).

fof(f814,definition,
    ( spl0_123
  <=> c1_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ c1_1(a654)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f817,plain,
    ( ~ spl0_123
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f147,f293,f814]) ).

fof(f819,definition,
    ( spl0_124
  <=> c0_1(a654) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c0_1(a654)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f822,plain,
    ( ~ spl0_124
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f148,f293,f819]) ).

fof(f825,definition,
    ( spl0_125
  <=> c2_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ c2_1(a652)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f828,plain,
    ( ~ spl0_125
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f150,f320,f825]) ).

fof(f830,definition,
    ( spl0_126
  <=> c3_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f833,plain,
    ( spl0_126
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f151,f320,f830]) ).

fof(f835,definition,
    ( spl0_127
  <=> c0_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f837,plain,
    ( c0_1(a652)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f838,plain,
    ( spl0_127
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f152,f320,f835]) ).

fof(f841,definition,
    ( spl0_128
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f843,plain,
    ( ~ c1_1(a651)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f844,plain,
    ( ~ spl0_128
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f154,f260,f841]) ).

fof(f846,definition,
    ( spl0_129
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f155,f260,f846]) ).

fof(f851,definition,
    ( spl0_130
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f853,plain,
    ( c3_1(a651)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_130
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f156,f260,f851]) ).

fof(f857,definition,
    ( spl0_131
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f860,plain,
    ( ~ spl0_131
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f158,f425,f857]) ).

fof(f862,definition,
    ( spl0_132
  <=> c2_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ spl0_132
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f159,f425,f862]) ).

fof(f867,definition,
    ( spl0_133
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f869,plain,
    ( c0_1(a648)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f870,plain,
    ( spl0_133
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f160,f425,f867]) ).

fof(f873,definition,
    ( spl0_134
  <=> c3_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ spl0_134
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f162,f328,f873]) ).

fof(f878,definition,
    ( spl0_135
  <=> c0_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f881,plain,
    ( ~ spl0_135
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f163,f328,f878]) ).

fof(f883,definition,
    ( spl0_136
  <=> c1_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f885,plain,
    ( c1_1(a647)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f886,plain,
    ( spl0_136
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f164,f328,f883]) ).

fof(f889,definition,
    ( spl0_137
  <=> c3_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f891,plain,
    ( ~ c3_1(a646)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f889]) ).

fof(f892,plain,
    ( ~ spl0_137
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f166,f366,f889]) ).

fof(f894,definition,
    ( spl0_138
  <=> c2_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f896,plain,
    ( ~ c2_1(a646)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f897,plain,
    ( ~ spl0_138
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f167,f366,f894]) ).

fof(f899,definition,
    ( spl0_139
  <=> c1_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f901,plain,
    ( ~ c1_1(a646)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f902,plain,
    ( ~ spl0_139
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f168,f366,f899]) ).

fof(f905,definition,
    ( spl0_140
  <=> c2_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ c2_1(a645)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( ~ spl0_140
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f170,f311,f905]) ).

fof(f910,definition,
    ( spl0_141
  <=> c3_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f912,plain,
    ( c3_1(a645)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f913,plain,
    ( spl0_141
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f171,f311,f910]) ).

fof(f915,definition,
    ( spl0_142
  <=> c1_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f917,plain,
    ( c1_1(a645)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f918,plain,
    ( spl0_142
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f172,f311,f915]) ).

fof(f921,definition,
    ( spl0_143
  <=> c0_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ c0_1(a643)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f921]) ).

fof(f924,plain,
    ( ~ spl0_143
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f174,f245,f921]) ).

fof(f926,definition,
    ( spl0_144
  <=> c2_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f928,plain,
    ( c2_1(a643)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f929,plain,
    ( spl0_144
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f175,f245,f926]) ).

fof(f931,definition,
    ( spl0_145
  <=> c1_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f933,plain,
    ( c1_1(a643)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f934,plain,
    ( spl0_145
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f176,f245,f931]) ).

fof(f937,definition,
    ( spl0_146
  <=> c1_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f939,plain,
    ( ~ c1_1(a642)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f937]) ).

fof(f940,plain,
    ( ~ spl0_146
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f178,f250,f937]) ).

fof(f942,definition,
    ( spl0_147
  <=> c3_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f944,plain,
    ( c3_1(a642)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f942]) ).

fof(f945,plain,
    ( spl0_147
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f179,f250,f942]) ).

fof(f947,definition,
    ( spl0_148
  <=> c0_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f949,plain,
    ( c0_1(a642)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl0_148
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f180,f250,f947]) ).

fof(f951,plain,
    ( spl0_14
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f181,f250,f273]) ).

fof(f953,definition,
    ( spl0_149
  <=> c1_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f956,plain,
    ( ~ spl0_149
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f182,f228,f953]) ).

fof(f958,definition,
    ( spl0_150
  <=> c3_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f960,plain,
    ( c3_1(a641)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f958]) ).

fof(f961,plain,
    ( spl0_150
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f183,f228,f958]) ).

fof(f963,definition,
    ( spl0_151
  <=> c2_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f966,plain,
    ( spl0_151
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f184,f228,f963]) ).

fof(f979,plain,
    ( ~ c3_1(a676)
    | c2_1(a676)
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(resolution,[],[f333,f677]) ).

fof(f980,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | c2_1(X77) )
    | ~ spl0_24
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f347,f316]) ).

fof(f986,plain,
    ( c2_1(a698)
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(resolution,[],[f980,f581]) ).

fof(f994,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c2_1(X76) )
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f351,f333]) ).

fof(f1000,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(resolution,[],[f645,f290]) ).

fof(f1011,plain,
    ( ~ c3_1(a676)
    | ~ spl0_28
    | spl0_95
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f979,f667]) ).

fof(f1015,plain,
    ( ~ c3_1(a688)
    | ~ c2_1(a688)
    | ~ spl0_26
    | ~ spl0_64 ),
    inference(resolution,[],[f325,f501]) ).

fof(f1022,plain,
    ( ~ c2_1(a657)
    | c3_1(a657)
    | ~ spl0_21
    | ~ spl0_118 ),
    inference(resolution,[],[f789,f302]) ).

fof(f1025,plain,
    ( c3_1(a657)
    | ~ spl0_21
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1022,f784]) ).

fof(f1026,plain,
    ( $false
    | ~ spl0_21
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f1025,f779]) ).

fof(f1027,plain,
    ( ~ spl0_21
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f1026]) ).

fof(f1028,plain,
    ( ~ c3_1(a688)
    | ~ spl0_26
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(forward_subsumption_resolution,[],[f1015,f496]) ).

fof(f1029,plain,
    ( ~ spl0_62
    | ~ spl0_26
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1028,f499,f494,f324,f489]) ).

fof(f1031,plain,
    ( ~ c2_1(a656)
    | c3_1(a656)
    | ~ spl0_21
    | ~ spl0_121 ),
    inference(resolution,[],[f805,f302]) ).

fof(f1033,plain,
    ( c3_1(a656)
    | ~ spl0_21
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1031,f800]) ).

fof(f1038,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_31
    | ~ spl0_96 ),
    inference(resolution,[],[f347,f672]) ).

fof(f1043,plain,
    ( c3_1(a676)
    | ~ spl0_31
    | spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f1038,f667]) ).

fof(f1044,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_31
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f1043,f1011]) ).

fof(f1045,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1046,plain,
    ( ~ c3_1(a642)
    | c2_1(a642)
    | ~ spl0_28
    | ~ spl0_148 ),
    inference(resolution,[],[f949,f333]) ).

fof(f1049,plain,
    ( c2_1(a642)
    | ~ spl0_28
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f1046,f944]) ).

fof(f1050,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_26
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f358,f325]) ).

fof(f1051,plain,
    ( ~ c2_1(a642)
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(resolution,[],[f1050,f944]) ).

fof(f1052,plain,
    ( ~ c2_1(a656)
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(resolution,[],[f1050,f1033]) ).

fof(f1059,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1052,f800]) ).

fof(f1060,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_contradiction_clause,[],[f1059]) ).

fof(f1061,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f1051,f1049]) ).

fof(f1062,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1065,plain,
    ( ~ c3_1(a642)
    | c1_1(a642)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f371,f949]) ).

fof(f1066,plain,
    ( c1_1(a642)
    | ~ spl0_36
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(forward_subsumption_resolution,[],[f1065,f944]) ).

fof(f1072,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_15
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f380,f278]) ).

fof(f1082,plain,
    ( ~ c1_1(a676)
    | c2_1(a676)
    | ~ spl0_38
    | ~ spl0_97 ),
    inference(resolution,[],[f380,f677]) ).

fof(f1108,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_39
    | ~ spl0_100 ),
    inference(resolution,[],[f383,f693]) ).

fof(f1112,plain,
    ( c3_1(a675)
    | ~ spl0_39
    | spl0_99
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f1108,f688]) ).

fof(f1115,plain,
    ( $false
    | ~ spl0_39
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f1112,f683]) ).

fof(f1116,plain,
    ( ~ spl0_39
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1115]) ).

fof(f1119,definition,
    ( spl0_152
  <=> c3_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_26
    | ~ spl0_66 ),
    inference(resolution,[],[f512,f325]) ).

fof(f1127,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(resolution,[],[f517,f278]) ).

fof(f1129,plain,
    ( ~ c2_1(a671)
    | c3_1(a671)
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(resolution,[],[f517,f302]) ).

fof(f1140,plain,
    ( spl0_146
    | ~ spl0_36
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1066,f947,f942,f370,f937]) ).

fof(f1143,plain,
    ( ~ spl0_65
    | ~ spl0_152
    | ~ spl0_26
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1124,f510,f324,f1119,f505]) ).

fof(f1145,plain,
    ( spl0_152
    | ~ spl0_65
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1129,f515,f301,f505,f1119]) ).

fof(f1154,definition,
    ( spl0_153
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1156,plain,
    ( c1_1(a693)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1162,plain,
    ( ~ c3_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f933,f325]) ).

fof(f1163,plain,
    ( ~ c3_1(a643)
    | ~ spl0_26
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f1162,f928]) ).

fof(f1175,definition,
    ( spl0_154
  <=> c3_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1183,definition,
    ( spl0_155
  <=> c3_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1184,plain,
    ( c3_1(a643)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1188,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c3_1(X76) )
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f351,f302]) ).

fof(f1202,plain,
    ( ! [X80] :
        ( ~ c0_1(X80)
        | ~ c3_1(X80) )
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f333,f1050]) ).

fof(f1208,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c1_1(X56) )
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f399,f1050]) ).

fof(f1212,plain,
    ( c1_1(a682)
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_43
    | ~ spl0_94 ),
    inference(resolution,[],[f1208,f661]) ).

fof(f1213,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_43
    | spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1212,f656]) ).

fof(f1214,plain,
    ( ~ spl0_26
    | ~ spl0_33
    | ~ spl0_43
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1213]) ).

fof(f1221,plain,
    ( c3_1(a646)
    | c2_1(a646)
    | ~ spl0_45
    | spl0_139 ),
    inference(resolution,[],[f407,f901]) ).

fof(f1223,plain,
    ( c3_1(a654)
    | c2_1(a654)
    | ~ spl0_45
    | spl0_123 ),
    inference(resolution,[],[f407,f816]) ).

fof(f1232,plain,
    ( c3_1(a654)
    | ~ spl0_45
    | spl0_122
    | spl0_123 ),
    inference(forward_subsumption_resolution,[],[f1223,f811]) ).

fof(f1291,plain,
    ( c0_1(a647)
    | c3_1(a647)
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(resolution,[],[f438,f885]) ).

fof(f1295,plain,
    ( c0_1(a686)
    | c3_1(a686)
    | ~ spl0_52
    | ~ spl0_91 ),
    inference(resolution,[],[f438,f645]) ).

fof(f1299,plain,
    ( c0_1(a686)
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1295,f635]) ).

fof(f1319,plain,
    ( ~ c2_1(a661)
    | c3_1(a661)
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(resolution,[],[f757,f302]) ).

fof(f1335,plain,
    ( c1_1(a660)
    | c2_1(a660)
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(resolution,[],[f403,f773]) ).

fof(f1336,plain,
    ( c1_1(a661)
    | c2_1(a661)
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(resolution,[],[f403,f757]) ).

fof(f1343,plain,
    ( ! [X26] :
        ( ~ c3_1(X26)
        | c2_1(X26) )
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f450,f1202]) ).

fof(f1344,plain,
    ( ! [X26] : ~ c3_1(X26)
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f1343,f1050]) ).

fof(f1347,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_54
    | ~ spl0_94 ),
    inference(resolution,[],[f1344,f661]) ).

fof(f1348,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_54
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1347]) ).

fof(f1359,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1000,f643,f289,f638,f633]) ).

fof(f1391,plain,
    ( ~ c3_1(a655)
    | c1_1(a655)
    | ~ spl0_36
    | ~ spl0_70 ),
    inference(resolution,[],[f371,f533]) ).

fof(f1393,plain,
    ( c1_1(a655)
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1391,f523]) ).

fof(f1405,plain,
    ( ~ c3_1(a655)
    | ~ c2_1(a655)
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(resolution,[],[f1393,f325]) ).

fof(f1406,plain,
    ( ~ c2_1(a655)
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1405,f523]) ).

fof(f1409,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1406,f528]) ).

fof(f1410,plain,
    ( ~ spl0_26
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1427,definition,
    ( spl0_157
  <=> c1_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1443,definition,
    ( spl0_158
  <=> c3_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1445,plain,
    ( c3_1(a656)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f1450,definition,
    ( spl0_159
  <=> c2_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1464,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_38
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1082,f675,f379,f670,f665]) ).

fof(f1485,definition,
    ( spl0_160
  <=> c3_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1486,plain,
    ( c3_1(a698)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1485]) ).

fof(f1489,plain,
    ( spl0_77
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f986,f579,f346,f315,f569]) ).

fof(f1496,definition,
    ( spl0_161
  <=> c2_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1499,plain,
    ( spl0_110
    | ~ spl0_161
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1319,f755,f301,f1496,f745]) ).

fof(f1512,plain,
    ( c2_1(a647)
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(resolution,[],[f980,f885]) ).

fof(f1518,plain,
    ( spl0_159
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1512,f883,f346,f315,f1450]) ).

fof(f1522,plain,
    ( ! [X38] :
        ( ~ c2_1(X38)
        | c3_1(X38) )
    | ~ spl0_21
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f430,f1188]) ).

fof(f1560,plain,
    ( c3_1(a675)
    | ~ spl0_21
    | ~ spl0_32
    | ~ spl0_50
    | ~ spl0_100 ),
    inference(resolution,[],[f1522,f693]) ).

fof(f1574,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_32
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f1560,f683]) ).

fof(f1575,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f1574]) ).

fof(f1614,plain,
    ( c2_1(a647)
    | c3_1(a647)
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(resolution,[],[f347,f885]) ).

fof(f1617,plain,
    ( c2_1(a698)
    | c3_1(a698)
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(resolution,[],[f347,f581]) ).

fof(f1628,plain,
    ( c1_1(a651)
    | c2_1(a651)
    | ~ spl0_43
    | ~ spl0_130 ),
    inference(resolution,[],[f399,f853]) ).

fof(f1635,plain,
    ( c1_1(a682)
    | c2_1(a682)
    | ~ spl0_43
    | ~ spl0_94 ),
    inference(resolution,[],[f399,f661]) ).

fof(f1641,plain,
    ( c2_1(a651)
    | ~ spl0_43
    | spl0_128
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1628,f843]) ).

fof(f1642,plain,
    ( ~ c3_1(a643)
    | c0_1(a643)
    | ~ spl0_47
    | ~ spl0_145 ),
    inference(resolution,[],[f417,f933]) ).

fof(f1646,plain,
    ( ~ c3_1(a698)
    | c0_1(a698)
    | ~ spl0_47
    | ~ spl0_79 ),
    inference(resolution,[],[f417,f581]) ).

fof(f1648,plain,
    ( ~ c2_1(a647)
    | c0_1(a647)
    | ~ spl0_48
    | ~ spl0_136 ),
    inference(resolution,[],[f421,f885]) ).

fof(f1650,plain,
    ( ~ c2_1(a686)
    | c0_1(a686)
    | ~ spl0_48
    | ~ spl0_91 ),
    inference(resolution,[],[f421,f645]) ).

fof(f1653,plain,
    ( c0_1(a686)
    | ~ spl0_48
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1650,f640]) ).

fof(f1666,plain,
    ( c2_1(a660)
    | ~ spl0_44
    | spl0_114
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f1335,f768]) ).

fof(f1680,plain,
    ( ~ c3_1(a698)
    | ~ spl0_47
    | spl0_78
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[],[f1646,f576]) ).

fof(f1685,plain,
    ( ~ spl0_160
    | ~ spl0_47
    | spl0_78
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1680,f579,f574,f416,f1485]) ).

fof(f1693,plain,
    ( spl0_135
    | ~ spl0_159
    | ~ spl0_48
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1648,f883,f420,f1450,f878]) ).

fof(f1700,plain,
    ( spl0_134
    | spl0_159
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1614,f883,f346,f1450,f873]) ).

fof(f1718,plain,
    ( ~ c1_1(a655)
    | ~ spl0_15
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(resolution,[],[f1072,f533]) ).

fof(f1719,plain,
    ( ~ spl0_157
    | ~ spl0_15
    | ~ spl0_38
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1718,f531,f379,f277,f1427]) ).

fof(f1720,plain,
    ( ~ c1_1(a686)
    | ~ spl0_15
    | ~ spl0_38
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(resolution,[],[f1299,f1072]) ).

fof(f1722,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_21
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(resolution,[],[f1299,f302]) ).

fof(f1723,plain,
    ( c3_1(a686)
    | ~ spl0_21
    | ~ spl0_52
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1722,f640]) ).

fof(f1724,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_38
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1720,f645]) ).

fof(f1725,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1724]) ).

fof(f1726,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_52
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1723,f635]) ).

fof(f1727,plain,
    ( ~ spl0_21
    | ~ spl0_52
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1726]) ).

fof(f1746,plain,
    ( ~ c3_1(a645)
    | c0_1(a645)
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(resolution,[],[f417,f917]) ).

fof(f1778,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_21
    | ~ spl0_48
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(resolution,[],[f1653,f302]) ).

fof(f1779,plain,
    ( c3_1(a686)
    | ~ spl0_21
    | ~ spl0_48
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1778,f640]) ).

fof(f1780,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_48
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(forward_subsumption_resolution,[],[f1779,f635]) ).

fof(f1781,plain,
    ( ~ spl0_21
    | ~ spl0_48
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(avatar_contradiction_clause,[],[f1780]) ).

fof(f1791,plain,
    ( spl0_113
    | ~ spl0_44
    | spl0_114
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1666,f771,f766,f402,f761]) ).

fof(f1792,plain,
    ( ! [X37] :
        ( ~ c1_1(X37)
        | c0_1(X37) )
    | ~ spl0_47
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f438,f417]) ).

fof(f1793,plain,
    ( spl0_134
    | spl0_135
    | ~ spl0_52
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1291,f883,f437,f878,f873]) ).

fof(f1799,plain,
    ( c0_1(a643)
    | ~ spl0_47
    | ~ spl0_145
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1642,f1184]) ).

fof(f1810,plain,
    ( spl0_143
    | ~ spl0_47
    | ~ spl0_145
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1799,f1183,f931,f416,f921]) ).

fof(f1832,plain,
    ( ~ c3_1(a645)
    | c2_1(a645)
    | ~ spl0_24
    | ~ spl0_142 ),
    inference(resolution,[],[f316,f917]) ).

fof(f1835,plain,
    ( ~ c3_1(a676)
    | c2_1(a676)
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(resolution,[],[f316,f672]) ).

fof(f1839,plain,
    ( c2_1(a645)
    | ~ spl0_24
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(forward_subsumption_resolution,[],[f1832,f912]) ).

fof(f1843,plain,
    ( spl0_140
    | ~ spl0_24
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1839,f915,f910,f315,f905]) ).

fof(f1846,plain,
    ( c2_1(a648)
    | c3_1(a648)
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(resolution,[],[f351,f869]) ).

fof(f1850,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f351,f677]) ).

fof(f1854,plain,
    ( c3_1(a676)
    | ~ spl0_32
    | spl0_95
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f1850,f667]) ).

fof(f1862,plain,
    ( spl0_95
    | ~ spl0_154
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1835,f670,f315,f1175,f665]) ).

fof(f1869,plain,
    ( c1_1(a641)
    | ~ c2_1(a641)
    | ~ spl0_33
    | ~ spl0_150 ),
    inference(resolution,[],[f358,f960]) ).

fof(f1874,plain,
    ( c1_1(a651)
    | ~ c2_1(a651)
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(resolution,[],[f358,f853]) ).

fof(f1881,plain,
    ( c1_1(a693)
    | ~ c2_1(a693)
    | ~ spl0_33
    | ~ spl0_84 ),
    inference(resolution,[],[f358,f608]) ).

fof(f1890,plain,
    ( ~ c2_1(a651)
    | ~ spl0_33
    | spl0_128
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1874,f843]) ).

fof(f1908,plain,
    ( c1_1(a693)
    | ~ spl0_33
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f1881,f613]) ).

fof(f1910,plain,
    ( spl0_153
    | ~ spl0_33
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1908,f611,f606,f357,f1154]) ).

fof(f1913,plain,
    ( ~ c3_1(a693)
    | c0_1(a693)
    | ~ spl0_47
    | ~ spl0_153 ),
    inference(resolution,[],[f1156,f417]) ).

fof(f1914,plain,
    ( c0_1(a693)
    | ~ spl0_47
    | ~ spl0_84
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1913,f608]) ).

fof(f1920,plain,
    ( spl0_83
    | ~ spl0_47
    | ~ spl0_84
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1914,f1154,f606,f416,f601]) ).

fof(f1925,plain,
    ( ~ c2_1(a656)
    | c1_1(a656)
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f391,f805]) ).

fof(f1927,plain,
    ( ~ c2_1(a661)
    | c1_1(a661)
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(resolution,[],[f391,f757]) ).

fof(f1931,plain,
    ( ~ c2_1(a655)
    | c1_1(a655)
    | ~ spl0_41
    | ~ spl0_70 ),
    inference(resolution,[],[f391,f533]) ).

fof(f1932,plain,
    ( c1_1(a655)
    | ~ spl0_41
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f1931,f528]) ).

fof(f1933,plain,
    ( ~ c2_1(a661)
    | ~ spl0_41
    | spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1927,f752]) ).

fof(f1934,plain,
    ( c1_1(a656)
    | ~ spl0_41
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f1925,f800]) ).

fof(f1936,plain,
    ( spl0_157
    | ~ spl0_41
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1932,f531,f526,f390,f1427]) ).

fof(f1937,plain,
    ( ~ spl0_161
    | ~ spl0_41
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1933,f755,f750,f390,f1496]) ).

fof(f1951,plain,
    ( c1_1(a656)
    | c3_1(a656)
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(resolution,[],[f387,f805]) ).

fof(f1953,plain,
    ( c1_1(a661)
    | c3_1(a661)
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(resolution,[],[f387,f757]) ).

fof(f1976,plain,
    ( c0_1(a665)
    | c3_1(a665)
    | ~ spl0_50
    | ~ spl0_109 ),
    inference(resolution,[],[f430,f741]) ).

fof(f1978,plain,
    ( c0_1(a675)
    | c3_1(a675)
    | ~ spl0_50
    | ~ spl0_100 ),
    inference(resolution,[],[f430,f693]) ).

fof(f1987,plain,
    ( c0_1(a675)
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f1978,f683]) ).

fof(f1988,plain,
    ( c3_1(a665)
    | ~ spl0_50
    | spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1976,f736]) ).

fof(f2048,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1846,f867,f350,f862,f857]) ).

fof(f2298,definition,
    ( spl0_167
  <=> c2_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f2304,definition,
    ( spl0_168
  <=> c0_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f2305,plain,
    ( ~ c0_1(a645)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f2304]) ).

fof(f2306,plain,
    ( c0_1(a645)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f2304]) ).

fof(f2307,plain,
    ( spl0_168
    | ~ spl0_141
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1746,f915,f416,f910,f2304]) ).

fof(f2310,plain,
    ( spl0_158
    | spl0_119
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1951,f803,f386,f793,f1443]) ).

fof(f2312,definition,
    ( spl0_169
  <=> c0_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f2314,plain,
    ( c0_1(a688)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f2312]) ).

fof(f2336,plain,
    ( spl0_167
    | ~ spl0_28
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1049,f947,f942,f332,f2298]) ).

fof(f2355,plain,
    ( c2_1(a652)
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(resolution,[],[f837,f994]) ).

fof(f2360,plain,
    ( spl0_125
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2355,f835,f350,f332,f825]) ).

fof(f2362,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c0_1(X10) )
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f470,f1792]) ).

fof(f2372,plain,
    ( c0_1(a665)
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_109 ),
    inference(resolution,[],[f2362,f741]) ).

fof(f2384,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_52
    | ~ spl0_58
    | spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2372,f736]) ).

fof(f2385,plain,
    ( ~ spl0_47
    | ~ spl0_52
    | ~ spl0_58
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f2384]) ).

fof(f2437,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c1_1(X58) )
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f391,f994]) ).

fof(f2444,plain,
    ( spl0_119
    | ~ spl0_41
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1934,f803,f798,f390,f793]) ).

fof(f2478,plain,
    ( c1_1(a675)
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(resolution,[],[f2437,f1987]) ).

fof(f2494,plain,
    ( spl0_99
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2478,f691,f681,f429,f390,f350,f332,f686]) ).

fof(f2546,plain,
    ( c3_1(a646)
    | ~ spl0_45
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f1221,f896]) ).

fof(f2552,plain,
    ( spl0_137
    | ~ spl0_45
    | spl0_138
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2546,f899,f894,f406,f889]) ).

fof(f2566,plain,
    ( ~ c2_1(a643)
    | c0_1(a643)
    | ~ spl0_48
    | ~ spl0_145 ),
    inference(resolution,[],[f421,f933]) ).

fof(f2654,definition,
    ( spl0_170
  <=> c1_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f2673,plain,
    ( spl0_92
    | spl0_93
    | ~ spl0_43
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1635,f659,f398,f654,f649]) ).

fof(f2676,plain,
    ( ~ spl0_66
    | ~ spl0_65
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1127,f515,f277,f505,f510]) ).

fof(f2733,plain,
    ( ~ spl0_151
    | spl0_149
    | ~ spl0_33
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1869,f958,f357,f953,f963]) ).

fof(f2850,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_43
    | spl0_128
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f1890,f1641]) ).

fof(f2851,plain,
    ( ~ spl0_33
    | ~ spl0_43
    | spl0_128
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2850]) ).

fof(f2853,definition,
    ( spl0_171
  <=> c2_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f2855,plain,
    ( ~ c2_1(a651)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f2853]) ).

fof(f2856,plain,
    ( ~ spl0_171
    | spl0_128
    | ~ spl0_33
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1874,f851,f357,f841,f2853]) ).

fof(f2886,plain,
    ( c1_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(resolution,[],[f358,f944]) ).

fof(f2891,plain,
    ( c1_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_33
    | ~ spl0_158 ),
    inference(resolution,[],[f358,f1445]) ).

fof(f2895,plain,
    ( c1_1(a665)
    | ~ c2_1(a665)
    | ~ spl0_33
    | ~ spl0_50
    | spl0_108
    | ~ spl0_109 ),
    inference(resolution,[],[f358,f1988]) ).

fof(f2907,plain,
    ( ~ c2_1(a642)
    | ~ spl0_33
    | spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f2886,f939]) ).

fof(f2912,plain,
    ( ~ spl0_167
    | ~ spl0_33
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2907,f942,f937,f357,f2298]) ).

fof(f2932,plain,
    ( spl0_143
    | ~ spl0_144
    | ~ spl0_48
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2566,f931,f420,f926,f921]) ).

fof(f2949,plain,
    ( c1_1(a675)
    | c3_1(a675)
    | ~ spl0_40
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(resolution,[],[f387,f1987]) ).

fof(f2967,plain,
    ( ~ c2_1(a693)
    | c0_1(a693)
    | ~ spl0_48
    | ~ spl0_153 ),
    inference(resolution,[],[f421,f1156]) ).

fof(f2973,plain,
    ( ~ c2_1(a688)
    | c0_1(a688)
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(resolution,[],[f421,f501]) ).

fof(f2975,plain,
    ( c0_1(a693)
    | ~ spl0_48
    | ~ spl0_85
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2967,f613]) ).

fof(f2978,plain,
    ( $false
    | ~ spl0_48
    | spl0_83
    | ~ spl0_85
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f2975,f603]) ).

fof(f2979,plain,
    ( ~ spl0_48
    | spl0_83
    | ~ spl0_85
    | ~ spl0_153 ),
    inference(avatar_contradiction_clause,[],[f2978]) ).

fof(f2986,plain,
    ( c0_1(a643)
    | c3_1(a643)
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(resolution,[],[f438,f933]) ).

fof(f2998,plain,
    ( c0_1(a698)
    | c3_1(a698)
    | ~ spl0_52
    | ~ spl0_79 ),
    inference(resolution,[],[f438,f581]) ).

fof(f3019,plain,
    ( ~ c3_1(a655)
    | ~ c1_1(a655)
    | ~ spl0_56
    | ~ spl0_70 ),
    inference(resolution,[],[f459,f533]) ).

fof(f3022,plain,
    ( ~ c1_1(a655)
    | ~ spl0_56
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(forward_subsumption_resolution,[],[f3019,f523]) ).

fof(f3051,plain,
    ( ~ spl0_157
    | ~ spl0_56
    | ~ spl0_68
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f3022,f531,f521,f458,f1427]) ).

fof(f3064,plain,
    ( c0_1(a651)
    | c1_1(a651)
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(resolution,[],[f463,f853]) ).

fof(f3072,plain,
    ( c0_1(a682)
    | c1_1(a682)
    | ~ spl0_57
    | ~ spl0_94 ),
    inference(resolution,[],[f463,f661]) ).

fof(f3074,plain,
    ( c0_1(a693)
    | c1_1(a693)
    | ~ spl0_57
    | ~ spl0_84 ),
    inference(resolution,[],[f463,f608]) ).

fof(f3078,plain,
    ( c1_1(a693)
    | ~ spl0_57
    | spl0_83
    | ~ spl0_84 ),
    inference(forward_subsumption_resolution,[],[f3074,f603]) ).

fof(f3079,plain,
    ( c0_1(a682)
    | ~ spl0_57
    | spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3072,f656]) ).

fof(f3103,plain,
    ( ~ spl0_155
    | ~ spl0_26
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1163,f931,f926,f324,f1183]) ).

fof(f3107,plain,
    ( spl0_160
    | spl0_77
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1617,f579,f346,f569,f1485]) ).

fof(f3120,plain,
    ( spl0_160
    | spl0_78
    | ~ spl0_52
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2998,f579,f437,f574,f1485]) ).

fof(f3122,plain,
    ( spl0_169
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2973,f499,f420,f494,f2312]) ).

fof(f3156,plain,
    ( c2_1(a672)
    | c3_1(a672)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f347,f709]) ).

fof(f3163,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c0_1(X10) )
    | ~ spl0_48
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f470,f421]) ).

fof(f3173,plain,
    ( c0_1(a665)
    | ~ spl0_48
    | ~ spl0_58
    | ~ spl0_109 ),
    inference(resolution,[],[f3163,f741]) ).

fof(f3179,plain,
    ( c0_1(a695)
    | ~ spl0_48
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(resolution,[],[f3163,f597]) ).

fof(f3191,plain,
    ( spl0_108
    | ~ spl0_48
    | ~ spl0_58
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3173,f739,f469,f420,f734]) ).

fof(f3197,plain,
    ( ~ c3_1(a652)
    | ~ c1_1(a652)
    | ~ spl0_56
    | ~ spl0_127 ),
    inference(resolution,[],[f837,f459]) ).

fof(f3206,plain,
    ( ~ c3_1(a645)
    | ~ c1_1(a645)
    | ~ spl0_56
    | ~ spl0_168 ),
    inference(resolution,[],[f2306,f459]) ).

fof(f3208,plain,
    ( c2_1(a645)
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_168 ),
    inference(resolution,[],[f2306,f994]) ).

fof(f3210,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_32
    | spl0_140
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3208,f907]) ).

fof(f3211,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | spl0_140
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3210]) ).

fof(f3212,plain,
    ( ~ c1_1(a645)
    | ~ spl0_56
    | ~ spl0_141
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3206,f912]) ).

fof(f3213,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3212,f917]) ).

fof(f3214,plain,
    ( ~ spl0_56
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f3213]) ).

fof(f3215,plain,
    ( ~ c3_1(a688)
    | ~ c1_1(a688)
    | ~ spl0_56
    | ~ spl0_169 ),
    inference(resolution,[],[f2314,f459]) ).

fof(f3221,plain,
    ( ~ c1_1(a688)
    | ~ spl0_56
    | ~ spl0_62
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f3215,f491]) ).

fof(f3222,plain,
    ( $false
    | ~ spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f3221,f501]) ).

fof(f3223,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f3222]) ).

fof(f3231,plain,
    ( c2_1(a682)
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_57
    | spl0_93
    | ~ spl0_94 ),
    inference(resolution,[],[f3079,f994]) ).

fof(f3233,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_32
    | ~ spl0_57
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f3231,f651]) ).

fof(f3234,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | ~ spl0_57
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f3233]) ).

fof(f3259,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7) )
    | ~ spl0_52
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f475,f438]) ).

fof(f3267,plain,
    ( spl0_81
    | ~ spl0_48
    | ~ spl0_58
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f3179,f595,f469,f420,f590]) ).

fof(f3286,plain,
    ( spl0_153
    | ~ spl0_57
    | spl0_83
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f3078,f606,f601,f462,f1154]) ).

fof(f3291,plain,
    ( spl0_161
    | spl0_111
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1336,f755,f402,f750,f1496]) ).

fof(f3294,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3156,f707,f346,f702,f697]) ).

fof(f3295,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c2_1(X22) )
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f455,f351]) ).

fof(f3299,plain,
    ( ~ spl0_120
    | spl0_119
    | ~ spl0_33
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2891,f1443,f357,f793,f798]) ).

fof(f3322,plain,
    ( c3_1(a695)
    | ~ spl0_52
    | ~ spl0_59
    | spl0_81 ),
    inference(resolution,[],[f3259,f592]) ).

fof(f3331,plain,
    ( $false
    | ~ spl0_52
    | ~ spl0_59
    | spl0_80
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f3322,f587]) ).

fof(f3332,plain,
    ( ~ spl0_52
    | ~ spl0_59
    | spl0_80
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f3331]) ).

fof(f3339,plain,
    ( spl0_155
    | spl0_143
    | ~ spl0_52
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2986,f931,f437,f921,f1183]) ).

fof(f3340,plain,
    ( c2_1(a646)
    | ~ spl0_32
    | ~ spl0_55
    | spl0_137 ),
    inference(resolution,[],[f3295,f891]) ).

fof(f3361,plain,
    ( spl0_154
    | ~ spl0_32
    | spl0_95
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1854,f675,f665,f350,f1175]) ).

fof(f3367,plain,
    ( spl0_138
    | ~ spl0_32
    | ~ spl0_55
    | spl0_137 ),
    inference(avatar_split_clause,[],[f3340,f889,f454,f350,f894]) ).

fof(f3395,plain,
    ( c1_1(a655)
    | ~ c2_1(a655)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f358,f523]) ).

fof(f3402,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c1_1(X56) )
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f399,f358]) ).

fof(f3406,plain,
    ( c1_1(a642)
    | ~ spl0_33
    | ~ spl0_43
    | ~ spl0_147 ),
    inference(resolution,[],[f3402,f944]) ).

fof(f3432,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_43
    | spl0_146
    | ~ spl0_147 ),
    inference(forward_subsumption_resolution,[],[f3406,f939]) ).

fof(f3433,plain,
    ( ~ spl0_33
    | ~ spl0_43
    | spl0_146
    | ~ spl0_147 ),
    inference(avatar_contradiction_clause,[],[f3432]) ).

fof(f3450,plain,
    ( c1_1(a652)
    | c2_1(a652)
    | ~ spl0_44
    | ~ spl0_127 ),
    inference(resolution,[],[f403,f837]) ).

fof(f3461,plain,
    ( c1_1(a652)
    | ~ spl0_44
    | spl0_125
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f3450,f827]) ).

fof(f3462,plain,
    ( spl0_170
    | ~ spl0_44
    | spl0_125
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f3461,f835,f825,f402,f2654]) ).

fof(f3467,plain,
    ( c0_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(resolution,[],[f411,f1184]) ).

fof(f3480,plain,
    ( c0_1(a693)
    | ~ c2_1(a693)
    | ~ spl0_46
    | ~ spl0_84 ),
    inference(resolution,[],[f411,f608]) ).

fof(f3486,plain,
    ( ~ c2_1(a693)
    | ~ spl0_46
    | spl0_83
    | ~ spl0_84 ),
    inference(forward_subsumption_resolution,[],[f3480,f603]) ).

fof(f3487,plain,
    ( ~ c2_1(a643)
    | ~ spl0_46
    | spl0_143
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3467,f923]) ).

fof(f3489,plain,
    ( $false
    | ~ spl0_46
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f3486,f613]) ).

fof(f3490,plain,
    ( ~ spl0_46
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f3489]) ).

fof(f3491,plain,
    ( $false
    | ~ spl0_46
    | spl0_143
    | ~ spl0_144
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3487,f928]) ).

fof(f3492,plain,
    ( ~ spl0_46
    | spl0_143
    | ~ spl0_144
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3491]) ).

fof(f3508,plain,
    ( ~ spl0_69
    | spl0_157
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f3395,f521,f357,f1427,f526]) ).

fof(f3616,plain,
    ( c0_1(a645)
    | c2_1(a645)
    | ~ spl0_54
    | ~ spl0_141 ),
    inference(resolution,[],[f450,f912]) ).

fof(f3617,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl0_54
    | ~ spl0_130 ),
    inference(resolution,[],[f450,f853]) ).

fof(f3619,plain,
    ( c0_1(a654)
    | c2_1(a654)
    | ~ spl0_45
    | ~ spl0_54
    | spl0_122
    | spl0_123 ),
    inference(resolution,[],[f450,f1232]) ).

fof(f3623,plain,
    ( c0_1(a667)
    | c2_1(a667)
    | ~ spl0_54
    | ~ spl0_106 ),
    inference(resolution,[],[f450,f725]) ).

fof(f3628,plain,
    ( c0_1(a698)
    | c2_1(a698)
    | ~ spl0_54
    | ~ spl0_160 ),
    inference(resolution,[],[f450,f1486]) ).

fof(f3632,plain,
    ( c2_1(a698)
    | ~ spl0_54
    | spl0_78
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f3628,f576]) ).

fof(f3636,plain,
    ( c2_1(a654)
    | ~ spl0_45
    | ~ spl0_54
    | spl0_122
    | spl0_123
    | spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3619,f821]) ).

fof(f3638,plain,
    ( c2_1(a645)
    | ~ spl0_54
    | ~ spl0_141
    | spl0_168 ),
    inference(forward_subsumption_resolution,[],[f3616,f2305]) ).

fof(f3639,plain,
    ( $false
    | ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f3632,f571]) ).

fof(f3640,plain,
    ( ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3639]) ).

fof(f3646,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_54
    | spl0_122
    | spl0_123
    | spl0_124 ),
    inference(forward_subsumption_resolution,[],[f3636,f811]) ).

fof(f3647,plain,
    ( ~ spl0_45
    | ~ spl0_54
    | spl0_122
    | spl0_123
    | spl0_124 ),
    inference(avatar_contradiction_clause,[],[f3646]) ).

fof(f3676,plain,
    ( c1_1(a675)
    | ~ spl0_40
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f2949,f683]) ).

fof(f3682,plain,
    ( c1_1(a665)
    | ~ spl0_33
    | ~ spl0_50
    | spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f2895,f741]) ).

fof(f3690,plain,
    ( ~ spl0_170
    | ~ spl0_126
    | ~ spl0_56
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f3197,f835,f458,f830,f2654]) ).

fof(f3693,plain,
    ( spl0_140
    | ~ spl0_54
    | ~ spl0_141
    | spl0_168 ),
    inference(avatar_split_clause,[],[f3638,f2304,f910,f449,f905]) ).

fof(f3694,plain,
    ( spl0_128
    | spl0_129
    | ~ spl0_57
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f3064,f851,f462,f846,f841]) ).

fof(f3695,plain,
    ( c0_1(a651)
    | ~ spl0_54
    | ~ spl0_130
    | spl0_171 ),
    inference(forward_subsumption_resolution,[],[f3617,f2855]) ).

fof(f3701,plain,
    ( c3_1(a661)
    | ~ spl0_40
    | spl0_111
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f1953,f752]) ).

fof(f3703,plain,
    ( c0_1(a667)
    | ~ spl0_54
    | spl0_104
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f3623,f715]) ).

fof(f3714,plain,
    ( spl0_99
    | ~ spl0_40
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3676,f691,f681,f429,f386,f686]) ).

fof(f3715,plain,
    ( spl0_107
    | ~ spl0_33
    | ~ spl0_50
    | spl0_108
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3682,f739,f734,f429,f357,f729]) ).

fof(f3722,plain,
    ( spl0_129
    | ~ spl0_54
    | ~ spl0_130
    | spl0_171 ),
    inference(avatar_split_clause,[],[f3695,f2853,f851,f449,f846]) ).

fof(f3724,plain,
    ( spl0_110
    | ~ spl0_40
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f3701,f755,f750,f386,f745]) ).

fof(f3725,plain,
    ( spl0_105
    | ~ spl0_54
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3703,f723,f713,f449,f718]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s5,plain,
    ( spl0_5
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s6,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s8,plain,
    ( ~ spl0_14
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s10,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s11,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_16
    | spl0_21 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s13,plain,
    ( spl0_3
    | spl0_8
    | ~ spl0_14
    | spl0_24 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s14,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s15,plain,
    ( spl0_13
    | ~ spl0_14
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s16,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_14
    | spl0_28 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s19,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s21,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s22,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_32 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s23,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_14
    | spl0_33 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14
    | spl0_33 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s26,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_14
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s28,plain,
    ( ~ spl0_14
    | spl0_33
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s29,plain,
    ( spl0_11
    | ~ spl0_14
    | spl0_15
    | spl0_40 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s30,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s31,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s33,plain,
    ( ~ spl0_14
    | spl0_35
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s34,plain,
    ( ~ spl0_14
    | spl0_19
    | spl0_20
    | spl0_46 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s35,plain,
    ( spl0_2
    | ~ spl0_14
    | spl0_35
    | spl0_46 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s36,plain,
    ( spl0_11
    | ~ spl0_14
    | spl0_40
    | spl0_46 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s37,plain,
    ( ~ spl0_14
    | spl0_38
    | spl0_40
    | spl0_47 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s38,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s39,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s40,plain,
    ( ~ spl0_14
    | spl0_23
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s41,plain,
    ( ~ spl0_14
    | spl0_22
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s42,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s43,plain,
    ( ~ spl0_14
    | spl0_33
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s44,plain,
    ( ~ spl0_14
    | spl0_30
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s45,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s46,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_38
    | spl0_54 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s47,plain,
    ( ~ spl0_14
    | spl0_43
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s49,plain,
    ( ~ spl0_14
    | spl0_45
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s51,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_25
    | spl0_57 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s53,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_31
    | spl0_57 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s54,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_49
    | spl0_58 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s55,plain,
    ( ~ spl0_14
    | spl0_27
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s57,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_59 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s58,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s61,plain,
    ( ~ spl0_16
    | spl0_62 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s62,plain,
    ( ~ spl0_16
    | spl0_63 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s63,plain,
    ( ~ spl0_16
    | spl0_64 ),
    inference(sat_conversion,[],[f502]) ).

cnf(s65,plain,
    ( ~ spl0_37
    | spl0_65 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s66,plain,
    ( ~ spl0_37
    | spl0_66 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s67,plain,
    ( ~ spl0_37
    | spl0_67 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s69,plain,
    ( ~ spl0_53
    | spl0_68 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s70,plain,
    ( ~ spl0_53
    | spl0_69 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s71,plain,
    ( ~ spl0_53
    | spl0_70 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s81,plain,
    ( ~ spl0_3
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s82,plain,
    ( ~ spl0_3
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s83,plain,
    ( ~ spl0_3
    | spl0_79 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s85,plain,
    ( ~ spl0_13
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s86,plain,
    ( ~ spl0_13
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s87,plain,
    ( ~ spl0_13
    | spl0_82 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | spl0_84 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s91,plain,
    ( ~ spl0_7
    | spl0_85 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s97,plain,
    ( ~ spl0_5
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s98,plain,
    ( ~ spl0_5
    | spl0_90 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s99,plain,
    ( ~ spl0_5
    | spl0_91 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s102,plain,
    ( ~ spl0_6
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | spl0_94 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s105,plain,
    ( ~ spl0_10
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f668]) ).

cnf(s106,plain,
    ( ~ spl0_10
    | spl0_96 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s107,plain,
    ( ~ spl0_10
    | spl0_97 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s109,plain,
    ( ~ spl0_1
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s110,plain,
    ( ~ spl0_1
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s111,plain,
    ( ~ spl0_1
    | spl0_100 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s112,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s113,plain,
    ( ~ spl0_42
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s114,plain,
    ( ~ spl0_42
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s115,plain,
    ( ~ spl0_42
    | spl0_103 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s117,plain,
    ( ~ spl0_20
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s118,plain,
    ( ~ spl0_20
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s119,plain,
    ( ~ spl0_20
    | spl0_106 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s121,plain,
    ( ~ spl0_2
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s122,plain,
    ( ~ spl0_2
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s123,plain,
    ( ~ spl0_2
    | spl0_109 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s124,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s125,plain,
    ( ~ spl0_51
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s126,plain,
    ( ~ spl0_51
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s127,plain,
    ( ~ spl0_51
    | spl0_112 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s130,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s131,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f780]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s135,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s137,plain,
    ( ~ spl0_17
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s138,plain,
    ( ~ spl0_17
    | spl0_120 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s139,plain,
    ( ~ spl0_17
    | spl0_121 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s141,plain,
    ( ~ spl0_19
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s142,plain,
    ( ~ spl0_19
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s143,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s145,plain,
    ( ~ spl0_25
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s146,plain,
    ( ~ spl0_25
    | spl0_126 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s147,plain,
    ( ~ spl0_25
    | spl0_127 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s149,plain,
    ( ~ spl0_11
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s150,plain,
    ( ~ spl0_11
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s151,plain,
    ( ~ spl0_11
    | spl0_130 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s153,plain,
    ( ~ spl0_49
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s154,plain,
    ( ~ spl0_49
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s155,plain,
    ( ~ spl0_49
    | spl0_133 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s157,plain,
    ( ~ spl0_27
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s158,plain,
    ( ~ spl0_27
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s159,plain,
    ( ~ spl0_27
    | spl0_136 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s161,plain,
    ( ~ spl0_35
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s162,plain,
    ( ~ spl0_35
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s163,plain,
    ( ~ spl0_35
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s166,plain,
    ( ~ spl0_23
    | spl0_141 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s167,plain,
    ( ~ spl0_23
    | spl0_142 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s169,plain,
    ( ~ spl0_8
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f924]) ).

cnf(s170,plain,
    ( ~ spl0_8
    | spl0_144 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s171,plain,
    ( ~ spl0_8
    | spl0_145 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s173,plain,
    ( ~ spl0_9
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s174,plain,
    ( ~ spl0_9
    | spl0_147 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s175,plain,
    ( ~ spl0_9
    | spl0_148 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s176,plain,
    ( ~ spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s177,plain,
    ( ~ spl0_4
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f956]) ).

cnf(s178,plain,
    ( ~ spl0_4
    | spl0_150 ),
    inference(sat_conversion,[],[f961]) ).

cnf(s179,plain,
    ( ~ spl0_4
    | spl0_151 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s189,plain,
    ( ~ spl0_21
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s190,plain,
    ( ~ spl0_26
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s191,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s193,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | ~ spl0_33
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s194,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s200,plain,
    ( ~ spl0_39
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1116]) ).

cnf(s205,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s206,plain,
    ( ~ spl0_26
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1143]) ).

cnf(s208,plain,
    ( ~ spl0_21
    | ~ spl0_65
    | ~ spl0_67
    | spl0_152 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s228,plain,
    ( ~ spl0_26
    | ~ spl0_33
    | ~ spl0_43
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s250,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33
    | ~ spl0_54
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f1348]) ).

cnf(s256,plain,
    ( ~ spl0_18
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s266,plain,
    ( ~ spl0_26
    | ~ spl0_36
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s293,plain,
    ( ~ spl0_38
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s301,plain,
    ( ~ spl0_24
    | ~ spl0_31
    | spl0_77
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s305,plain,
    ( ~ spl0_21
    | spl0_110
    | ~ spl0_112
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s317,plain,
    ( ~ spl0_24
    | ~ spl0_31
    | ~ spl0_136
    | spl0_159 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s331,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | ~ spl0_50
    | spl0_98
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s355,plain,
    ( ~ spl0_47
    | spl0_78
    | ~ spl0_79
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s361,plain,
    ( ~ spl0_48
    | spl0_135
    | ~ spl0_136
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s370,plain,
    ( ~ spl0_31
    | spl0_134
    | ~ spl0_136
    | spl0_159 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s376,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | ~ spl0_70
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1719]) ).

cnf(s377,plain,
    ( ~ spl0_15
    | ~ spl0_38
    | ~ spl0_52
    | spl0_89
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s378,plain,
    ( ~ spl0_21
    | ~ spl0_52
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s393,plain,
    ( ~ spl0_21
    | ~ spl0_48
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s396,plain,
    ( ~ spl0_44
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1791]) ).

cnf(s397,plain,
    ( ~ spl0_52
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s413,plain,
    ( ~ spl0_47
    | spl0_143
    | ~ spl0_145
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s424,plain,
    ( ~ spl0_24
    | spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s428,plain,
    ( ~ spl0_24
    | spl0_95
    | ~ spl0_96
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1862]) ).

cnf(s441,plain,
    ( ~ spl0_33
    | ~ spl0_84
    | ~ spl0_85
    | spl0_153 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s445,plain,
    ( ~ spl0_47
    | spl0_83
    | ~ spl0_84
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s446,plain,
    ( ~ spl0_41
    | ~ spl0_69
    | ~ spl0_70
    | spl0_157 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s447,plain,
    ( ~ spl0_41
    | spl0_111
    | ~ spl0_112
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s468,plain,
    ( ~ spl0_32
    | spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2048]) ).

cnf(s521,plain,
    ( ~ spl0_47
    | ~ spl0_141
    | ~ spl0_142
    | spl0_168 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s524,plain,
    ( ~ spl0_40
    | spl0_119
    | ~ spl0_121
    | spl0_158 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s534,plain,
    ( ~ spl0_28
    | ~ spl0_147
    | ~ spl0_148
    | spl0_167 ),
    inference(sat_conversion,[],[f2336]) ).

cnf(s540,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | spl0_125
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s542,plain,
    ( ~ spl0_47
    | ~ spl0_52
    | ~ spl0_58
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s562,plain,
    ( ~ spl0_41
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s576,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_50
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s589,plain,
    ( ~ spl0_45
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f2552]) ).

cnf(s637,plain,
    ( ~ spl0_43
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f2673]) ).

cnf(s640,plain,
    ( ~ spl0_15
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2676]) ).

cnf(s676,plain,
    ( ~ spl0_33
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2733]) ).

cnf(s706,plain,
    ( ~ spl0_33
    | ~ spl0_43
    | spl0_128
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2851]) ).

cnf(s707,plain,
    ( ~ spl0_33
    | spl0_128
    | ~ spl0_130
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2856]) ).

cnf(s717,plain,
    ( ~ spl0_33
    | spl0_146
    | ~ spl0_147
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2912]) ).

cnf(s735,plain,
    ( ~ spl0_48
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2932]) ).

cnf(s740,plain,
    ( ~ spl0_48
    | spl0_83
    | ~ spl0_85
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2979]) ).

cnf(s758,plain,
    ( ~ spl0_56
    | ~ spl0_68
    | ~ spl0_70
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f3051]) ).

cnf(s777,plain,
    ( ~ spl0_26
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3103]) ).

cnf(s784,plain,
    ( ~ spl0_31
    | spl0_77
    | ~ spl0_79
    | spl0_160 ),
    inference(sat_conversion,[],[f3107]) ).

cnf(s800,plain,
    ( ~ spl0_52
    | spl0_78
    | ~ spl0_79
    | spl0_160 ),
    inference(sat_conversion,[],[f3120]) ).

cnf(s802,plain,
    ( ~ spl0_48
    | ~ spl0_63
    | ~ spl0_64
    | spl0_169 ),
    inference(sat_conversion,[],[f3122]) ).

cnf(s819,plain,
    ( ~ spl0_48
    | ~ spl0_58
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f3191]) ).

cnf(s821,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | spl0_140
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3211]) ).

cnf(s822,plain,
    ( ~ spl0_56
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3214]) ).

cnf(s824,plain,
    ( ~ spl0_56
    | ~ spl0_62
    | ~ spl0_64
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3223]) ).

cnf(s825,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | ~ spl0_57
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f3234]) ).

cnf(s842,plain,
    ( ~ spl0_48
    | ~ spl0_58
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f3267]) ).

cnf(s873,plain,
    ( ~ spl0_57
    | spl0_83
    | ~ spl0_84
    | spl0_153 ),
    inference(sat_conversion,[],[f3286]) ).

cnf(s879,plain,
    ( ~ spl0_44
    | spl0_111
    | ~ spl0_112
    | spl0_161 ),
    inference(sat_conversion,[],[f3291]) ).

cnf(s882,plain,
    ( ~ spl0_31
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3294]) ).

cnf(s888,plain,
    ( ~ spl0_33
    | spl0_119
    | ~ spl0_120
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3299]) ).

cnf(s892,plain,
    ( ~ spl0_52
    | ~ spl0_59
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f3332]) ).

cnf(s897,plain,
    ( ~ spl0_52
    | spl0_143
    | ~ spl0_145
    | spl0_155 ),
    inference(sat_conversion,[],[f3339]) ).

cnf(s906,plain,
    ( ~ spl0_32
    | spl0_95
    | ~ spl0_97
    | spl0_154 ),
    inference(sat_conversion,[],[f3361]) ).

cnf(s910,plain,
    ( ~ spl0_32
    | ~ spl0_55
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f3367]) ).

cnf(s925,plain,
    ( ~ spl0_33
    | ~ spl0_43
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f3433]) ).

cnf(s930,plain,
    ( ~ spl0_44
    | spl0_125
    | ~ spl0_127
    | spl0_170 ),
    inference(sat_conversion,[],[f3462]) ).

cnf(s932,plain,
    ( ~ spl0_46
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f3490]) ).

cnf(s933,plain,
    ( ~ spl0_46
    | spl0_143
    | ~ spl0_144
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3492]) ).

cnf(s948,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_69
    | spl0_157 ),
    inference(sat_conversion,[],[f3508]) ).

cnf(s980,plain,
    ( ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3640]) ).

cnf(s984,plain,
    ( ~ spl0_45
    | ~ spl0_54
    | spl0_122
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f3647]) ).

cnf(s1000,plain,
    ( ~ spl0_56
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3690]) ).

cnf(s1004,plain,
    ( ~ spl0_54
    | spl0_140
    | ~ spl0_141
    | spl0_168 ),
    inference(sat_conversion,[],[f3693]) ).

cnf(s1005,plain,
    ( ~ spl0_57
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f3694]) ).

cnf(s1027,plain,
    ( ~ spl0_40
    | ~ spl0_50
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3714]) ).

cnf(s1029,plain,
    ( ~ spl0_33
    | ~ spl0_50
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f3715]) ).

cnf(s1035,plain,
    ( ~ spl0_54
    | spl0_129
    | ~ spl0_130
    | spl0_171 ),
    inference(sat_conversion,[],[f3722]) ).

cnf(s1038,plain,
    ( ~ spl0_40
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f3724]) ).

cnf(s1040,plain,
    ( ~ spl0_54
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f3725]) ).

cnf(s1041,plain,
    ( spl0_52
    | spl0_47
    | spl0_48
    | spl0_5
    | ~ spl0_14 ),
    inference(rat,[],[s396,s129,s130,s131,s10,s189,s133,s134,s135,s44,s45]) ).

cnf(s1042,plain,
    ( spl0_38
    | spl0_54
    | spl0_47
    | ~ spl0_33
    | ~ spl0_14 ),
    inference(rat,[],[s888,s524,s137,s138,s139,s46,s37]) ).

cnf(s1043,plain,
    ( ~ spl0_33
    | spl0_5
    | spl0_77
    | spl0_78
    | ~ spl0_79
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s397,s157,s158,s159,s19,s910,s49,s758,s948,s69,s70,s71,s47,s980,s800,s1041,s589,s161,s162,s163,s35,s445,s740,s932,s441,s89,s90,s91,s16,s534,s717,s925]) ).

cnf(s1044,plain,
    ( ~ spl0_8
    | ~ spl0_48 ),
    inference(rat,[],[s735,s169,s170,s171]) ).

cnf(s1045,plain,
    ( spl0_52
    | spl0_47
    | spl0_24
    | ~ spl0_14 ),
    inference(rat,[],[s468,s153,s154,s155,s42,s22,s189,s133,s134,s135,s44]) ).

cnf(s1046,plain,
    ( ~ spl0_27
    | ~ spl0_52 ),
    inference(rat,[],[s397,s157,s158,s159]) ).

cnf(s1047,plain,
    ( ~ spl0_52
    | spl0_28
    | ~ spl0_59
    | ~ spl0_14 ),
    inference(rat,[],[s892,s85,s86,s15,s1046]) ).

cnf(s1048,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1045,s355,s1047,s191,s301,s784,s105,s106,s107,s53,s5,s57,s1044,s1005,s149,s150,s151,s39,s24,s1043,s83,s82,s81,s1,s640,s65,s66,s67,s27,s205,s173,s174,s175,s176,s4]) ).

cnf(s1049,plain,
    ( ~ spl0_28
    | ~ spl0_32
    | ~ spl0_9
    | spl0_1 ),
    inference(rat,[],[s540,s145,s147,s51,s1005,s149,s150,s151,s24,s717,s534,s640,s65,s66,s67,s27,s205,s173,s174,s175,s176]) ).

cnf(s1050,plain,
    ( ~ spl0_52
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s758,s948,s49,s69,s70,s71,s910,s589,s47,s161,s162,s163,s925,s35,s39,s933,s897,s1044,s169,s170,s171,s57,s1047,s1049,s22,s980,s378,s800,s83,s82,s81,s1,s640,s65,s66,s67,s27,s205,s173,s174,s175,s176,s4,s99,s98,s97,s1048]) ).

cnf(s1051,plain,
    ( ~ spl0_11
    | ~ spl0_57 ),
    inference(rat,[],[s1005,s149,s150,s151]) ).

cnf(s1052,plain,
    ( ~ spl0_10
    | ~ spl0_32
    | ~ spl0_24 ),
    inference(rat,[],[s428,s906,s105,s106,s107]) ).

cnf(s1053,plain,
    ( ~ spl0_53
    | ~ spl0_33
    | ~ spl0_56 ),
    inference(rat,[],[s758,s948,s69,s70,s71]) ).

cnf(s1054,plain,
    ( ~ spl0_7
    | ~ spl0_48
    | ~ spl0_33 ),
    inference(rat,[],[s740,s441,s89,s90,s91]) ).

cnf(s1055,plain,
    ( ~ spl0_49
    | ~ spl0_32 ),
    inference(rat,[],[s468,s153,s154,s155]) ).

cnf(s1056,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(rat,[],[s424,s165,s166,s167]) ).

cnf(s1057,plain,
    ( ~ spl0_17
    | ~ spl0_33
    | ~ spl0_40 ),
    inference(rat,[],[s888,s524,s137,s138,s139]) ).

cnf(s1058,plain,
    ( ~ spl0_25
    | ~ spl0_44
    | ~ spl0_56 ),
    inference(rat,[],[s930,s1000,s145,s146,s147]) ).

cnf(s1060,plain,
    ( ~ spl0_22
    | ~ spl0_44 ),
    inference(rat,[],[s396,s129,s130,s131]) ).

cnf(s1061,plain,
    ( spl0_11
    | ~ spl0_56
    | spl0_52
    | spl0_18
    | ~ spl0_9
    | spl0_1 ),
    inference(rat,[],[s1038,s125,s126,s127,s41,s1060,s45,s802,s824,s61,s62,s63,s8,s1057,s24,s29,s640,s65,s66,s67,s27,s205,s173,s174,s175,s176]) ).

cnf(s1062,plain,
    ( spl0_47
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s45,s1044,s1058,s53,s51,s1051,s1061,s49,s910,s589,s161,s162,s163,s26,s1052,s22,s189,s301,s133,s134,s135,s1045,s44,s83,s81,s1,s640,s65,s66,s67,s27,s205,s173,s174,s175,s176,s4,s256,s97,s98,s99,s1048,s1050]) ).

cnf(s1063,plain,
    ( ~ spl0_44
    | spl0_52
    | ~ spl0_14 ),
    inference(rat,[],[s30,s305,s1038,s447,s879,s125,s126,s127,s41,s1060]) ).

cnf(s1064,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s49,s910,s589,s161,s162,s163,s26,s1052,s42,s1061,s1055,s1051,s22,s53,s393,s1044,s45,s1063,s784,s355,s1062,s1050,s256,s97,s98,s99,s1048,s176,s83,s82,s81,s1,s205,s173,s174,s175,s4]) ).

cnf(s1065,plain,
    ( ~ spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s842,s86,s87,s54,s15,s1055,s1049,s1046,s1045,s301,s355,s784,s53,s1044,s39,s640,s65,s66,s67,s27,s205,s173,s174,s175,s1051,s24,s676,s177,s178,s179,s1064,s81,s83,s82,s1,s176,s4]) ).

cnf(s1066,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s393,s97,s98,s99,s19,s22,s1065,s1046,s1045,s355,s301,s784,s53,s1044,s1051,s39,s24,s676,s177,s178,s179,s1064,s640,s65,s66,s67,s27,s205,s81,s82,s83,s173,s174,s175,s176,s1,s4]) ).

cnf(s1067,plain,
    ( spl0_32
    | ~ spl0_37
    | ~ spl0_14 ),
    inference(rat,[],[s189,s133,s134,s135,s21,s206,s208,s22,s67,s66,s65]) ).

cnf(s1068,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_2 ),
    inference(rat,[],[s54,s819,s1044,s124,s123,s122]) ).

cnf(s1069,plain,
    ( ~ spl0_4
    | ~ spl0_33 ),
    inference(rat,[],[s676,s177,s178,s179]) ).

cnf(s1070,plain,
    ( spl0_45
    | spl0_56
    | spl0_43
    | ~ spl0_32
    | ~ spl0_14 ),
    inference(rat,[],[s910,s161,s162,s49,s33]) ).

cnf(s1071,plain,
    ( spl0_78
    | ~ spl0_79
    | spl0_77
    | ~ spl0_54
    | ~ spl0_52 ),
    inference(rat,[],[s980,s800]) ).

cnf(s1072,plain,
    ( ~ spl0_20
    | ~ spl0_54 ),
    inference(rat,[],[s1040,s117,s118,s119]) ).

cnf(s1074,plain,
    ( ~ spl0_54
    | ~ spl0_45
    | spl0_46
    | ~ spl0_14 ),
    inference(rat,[],[s984,s141,s142,s143,s34,s1072]) ).

cnf(s1075,plain,
    ( ~ spl0_10
    | ~ spl0_38 ),
    inference(rat,[],[s293,s105,s106,s107]) ).

cnf(s1076,plain,
    ( ~ spl0_45
    | spl0_47
    | spl0_46
    | ~ spl0_33
    | spl0_36
    | ~ spl0_14 ),
    inference(rat,[],[s589,s161,s162,s163,s26,s1075,s1042,s1074]) ).

cnf(s1077,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(rat,[],[s1004,s47,s822,s1053,s1070,s1076,s413,s933,s897,s169,s170,s171,s57,s1069,s1047,s42,s1056,s165,s166,s167,s40,s1029,s925,s39,s1068,s1055,s1049,s1067,s640,s65,s66,s67,s27,s205,s173,s174,s175,s124,s123,s122,s121,s1066]) ).

cnf(s1078,plain,
    ( ~ spl0_32
    | ~ spl0_28
    | spl0_26
    | spl0_50
    | ~ spl0_14 ),
    inference(rat,[],[s540,s145,s147,s14,s1056,s40,s1055]) ).

cnf(s1079,plain,
    ( ~ spl0_52
    | ~ spl0_8
    | spl0_50
    | spl0_1 ),
    inference(rat,[],[s378,s97,s98,s99,s19,s22,s1078,s1047,s58,s933,s777,s897,s1046,s124,s1066,s1077,s171,s170,s169]) ).

cnf(s1080,plain,
    ( spl0_52
    | spl0_48
    | ~ spl0_14 ),
    inference(rat,[],[s45,s1063]) ).

cnf(s1081,plain,
    ( ~ spl0_32
    | ~ spl0_33
    | ~ spl0_52
    | spl0_1 ),
    inference(rat,[],[s190,s61,s62,s63,s11,s378,s97,s98,s99,s5,s1075,s1042,s1004,s821,s542,s165,s166,s54,s40,s1078,s1055,s1077,s1047,s57,s1079,s1029,s121,s122,s123,s1069,s124,s1066]) ).

cnf(s1082,plain,
    ( spl0_32
    | ~ spl0_52
    | ~ spl0_14 ),
    inference(rat,[],[s378,s97,s98,s99,s19,s22,s1046]) ).

cnf(s1083,plain,
    ( ~ spl0_8
    | ~ spl0_26
    | ~ spl0_52 ),
    inference(rat,[],[s777,s897,s169,s170,s171]) ).

cnf(s1084,plain,
    ( ~ spl0_37
    | ~ spl0_15 ),
    inference(rat,[],[s640,s65,s66,s67]) ).

cnf(s1085,plain,
    ( spl0_48
    | spl0_1 ),
    inference(rat,[],[s882,s113,s114,s115,s31,s1084,s53,s1083,s637,s101,s102,s103,s1051,s38,s39,s23,s24,s1081,s1082,s1080,s124,s1066]) ).

cnf(s1086,plain,
    ( ~ spl0_30
    | ~ spl0_21 ),
    inference(rat,[],[s189,s133,s134,s135]) ).

cnf(s1087,plain,
    ( ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s393,s97,s98,s99,s22,s1055,s1068,s1085,s124,s1066]) ).

cnf(s1088,plain,
    ( ~ spl0_53
    | spl0_1 ),
    inference(rat,[],[s266,s69,s70,s71,s27,s1067,s21,s1086,s22,s124,s1055,s1068,s1085,s1066]) ).

cnf(s1089,plain,
    spl0_1,
    inference(rat,[],[s47,s228,s250,s102,s103,s16,s3,s1054,s43,s1088,s1087,s21,s1086,s1082,s22,s1055,s1068,s1044,s1085,s124,s1066]) ).

cnf(s1090,plain,
    spl0_14,
    inference(rat,[],[s112,s1089]) ).

cnf(s1091,plain,
    spl0_100,
    inference(rat,[],[s111,s1089]) ).

cnf(s1092,plain,
    ~ spl0_99,
    inference(rat,[],[s110,s1089]) ).

cnf(s1093,plain,
    ~ spl0_98,
    inference(rat,[],[s109,s1089]) ).

cnf(s1094,plain,
    ~ spl0_39,
    inference(rat,[],[s200,s1091,s1092,s1093]) ).

cnf(s1095,plain,
    ( ~ spl0_8
    | spl0_47
    | ~ spl0_52
    | spl0_50
    | ~ spl0_33 ),
    inference(rat,[],[s1004,s47,s822,s1053,s1070,s1076,s925,s205,s173,s174,s175,s58,s1047,s1078,s933,s897,s1083,s169,s170,s171,s167,s166,s165,s40,s1055,s1082,s1090]) ).

cnf(s1096,plain,
    ( ~ spl0_9
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_33 ),
    inference(rat,[],[s194,s174,s175]) ).

cnf(s1097,plain,
    ( ~ spl0_52
    | ~ spl0_33
    | ~ spl0_2 ),
    inference(rat,[],[s190,s61,s62,s63,s11,s1096,s378,s97,s98,s99,s5,s1075,s1042,s1071,s1078,s81,s82,s83,s1047,s13,s57,s1095,s1056,s40,s542,s1055,s55,s1082,s1046,s1029,s121,s122,s123,s1069,s1090,s1094]) ).

cnf(s1098,plain,
    ( ~ spl0_5
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(rat,[],[s393,s97,s98,s99]) ).

cnf(s1099,plain,
    ( ~ spl0_33
    | ~ spl0_2 ),
    inference(rat,[],[s193,s138,s139,s46,s250,s1075,s16,s5,s1098,s21,s1086,s103,s22,s3,s1055,s1054,s1068,s1044,s1080,s1097,s1090]) ).

cnf(s1100,plain,
    ( ~ spl0_52
    | ~ spl0_2 ),
    inference(rat,[],[s377,s97,s99,s5,s1083,s38,s39,s819,s55,s1046,s123,s122,s1075,s28,s1099,s1090,s1094]) ).

cnf(s1101,plain,
    ~ spl0_2,
    inference(rat,[],[s22,s1098,s1055,s5,s1068,s1044,s1080,s1100,s1075,s28,s1099,s1090,s1094]) ).

cnf(s1102,plain,
    ( ~ spl0_8
    | ~ spl0_52
    | ~ spl0_33 ),
    inference(rat,[],[s1035,s47,s706,s707,s1053,s149,s150,s151,s49,s36,s910,s589,s1027,s161,s162,s163,s1095,s35,s413,s933,s897,s169,s170,s171,s1082,s1090,s1093,s1092,s1091,s1101]) ).

cnf(s1103,plain,
    ( ~ spl0_50
    | ~ spl0_28
    | ~ spl0_32 ),
    inference(rat,[],[s30,s576,s1027,s331,s1090,s1093,s1092,s1091]) ).

cnf(s1104,plain,
    ( ~ spl0_52
    | ~ spl0_33 ),
    inference(rat,[],[s190,s61,s62,s63,s11,s378,s97,s98,s99,s5,s1075,s1042,s521,s1004,s821,s1096,s165,s166,s167,s1078,s40,s1103,s1047,s57,s1102,s1055,s1082,s1069,s1090]) ).

cnf(s1105,plain,
    ( ~ spl0_13
    | ~ spl0_58
    | ~ spl0_48 ),
    inference(rat,[],[s842,s86,s87]) ).

cnf(s1106,plain,
    ( ~ spl0_17
    | ~ spl0_41 ),
    inference(rat,[],[s562,s137,s138,s139]) ).

cnf(s1107,plain,
    ( ~ spl0_32
    | ~ spl0_33 ),
    inference(rat,[],[s589,s161,s162,s163,s26,s205,s173,s174,s175,s6,s1051,s53,s1070,s317,s824,s802,s61,s62,s63,s8,s1106,s361,s158,s159,s15,s1105,s256,s30,s97,s98,s99,s1103,s1027,s331,s5,s40,s1052,s1056,s54,s42,s1055,s637,s101,s102,s103,s3,s1054,s1044,s1080,s1104,s1090,s1093,s1092,s1091]) ).

cnf(s1108,plain,
    ~ spl0_33,
    inference(rat,[],[s193,s138,s139,s46,s250,s1075,s16,s5,s21,s1098,s1086,s22,s1107,s103,s3,s1054,s1044,s1080,s1104,s1090]) ).

cnf(s1109,plain,
    spl0_38,
    inference(rat,[],[s28,s1094,s1090,s1108]) ).

cnf(s1110,plain,
    ~ spl0_10,
    inference(rat,[],[s1075,s1109]) ).

cnf(s1111,plain,
    ( ~ spl0_8
    | ~ spl0_52 ),
    inference(rat,[],[s38,s1083,s1044,s1090,s1108]) ).

cnf(s1113,plain,
    ( ~ spl0_6
    | ~ spl0_94
    | ~ spl0_57
    | ~ spl0_52 ),
    inference(rat,[],[s825,s101,s102,s1082,s15,s1105,s39,s377,s97,s99,s5,s1111,s55,s1046,s1090,s1094,s1108,s1110,s1109]) ).

cnf(s1114,plain,
    ( ~ spl0_7
    | ~ spl0_57
    | ~ spl0_48 ),
    inference(rat,[],[s873,s740,s89,s90,s91]) ).

cnf(s1115,plain,
    ( ~ spl0_57
    | ~ spl0_52 ),
    inference(rat,[],[s1113,s103,s3,s1114,s39,s377,s97,s99,s5,s1111,s1108,s1090,s1110,s1109]) ).

cnf(s1116,plain,
    ~ spl0_52,
    inference(rat,[],[s540,s145,s147,s51,s1115,s15,s1105,s39,s377,s97,s99,s5,s1111,s55,s1082,s1046,s1090,s1108,s1109,s1110,s1094]) ).

cnf(s1118,plain,
    spl0_48,
    inference(rat,[],[s1080,s1090,s1116]) ).

cnf(s1119,plain,
    spl0_53,
    inference(rat,[],[s43,s1108,s1090,s1116]) ).

cnf(s1120,plain,
    ~ spl0_8,
    inference(rat,[],[s1044,s1118]) ).

cnf(s1121,plain,
    spl0_70,
    inference(rat,[],[s71,s1119]) ).

cnf(s1122,plain,
    spl0_69,
    inference(rat,[],[s70,s1119]) ).

cnf(s1124,plain,
    spl0_5,
    inference(rat,[],[s5,s1110,s1120]) ).

cnf(s1128,plain,
    ~ spl0_21,
    inference(rat,[],[s1098,s1118,s1124]) ).

cnf(s1130,plain,
    spl0_32,
    inference(rat,[],[s22,s1090,s1128]) ).

cnf(s1131,plain,
    ~ spl0_49,
    inference(rat,[],[s1055,s1130]) ).

cnf(s1132,plain,
    spl0_24,
    inference(rat,[],[s42,s1090,s1116,s1131]) ).

cnf(s1133,plain,
    spl0_58,
    inference(rat,[],[s54,s1120,s1090,s1131]) ).

cnf(s1134,plain,
    ~ spl0_23,
    inference(rat,[],[s1056,s1132]) ).

cnf(s1135,plain,
    ~ spl0_13,
    inference(rat,[],[s1105,s1118,s1133]) ).

cnf(s1136,plain,
    spl0_50,
    inference(rat,[],[s40,s1090,s1131,s1134]) ).

cnf(s1137,plain,
    ~ spl0_40,
    inference(rat,[],[s1027,s1091,s1092,s1093,s1136]) ).

cnf(s1138,plain,
    ~ spl0_28,
    inference(rat,[],[s1103,s1130,s1136]) ).

cnf(s1139,plain,
    spl0_41,
    inference(rat,[],[s30,s1128,s1090,s1137]) ).

cnf(s1141,plain,
    spl0_27,
    inference(rat,[],[s15,s1090,s1135,s1138]) ).

cnf(s1143,plain,
    spl0_157,
    inference(rat,[],[s446,s1122,s1121,s1139]) ).

cnf(s1147,plain,
    spl0_136,
    inference(rat,[],[s159,s1141]) ).

cnf(s1148,plain,
    ~ spl0_135,
    inference(rat,[],[s158,s1141]) ).

cnf(s1149,plain,
    ~ spl0_134,
    inference(rat,[],[s157,s1141]) ).

cnf(s1152,plain,
    ~ spl0_15,
    inference(rat,[],[s376,s1121,s1109,s1143]) ).

cnf(s1154,plain,
    ~ spl0_159,
    inference(rat,[],[s361,s1147,s1118,s1148]) ).

cnf(s1155,plain,
    ~ spl0_31,
    inference(rat,[],[s370,s1154,s1147,s1149]) ).

cnf(s1160,plain,
    spl0_11,
    inference(rat,[],[s29,s1137,s1090,s1152]) ).

cnf(s1161,plain,
    spl0_57,
    inference(rat,[],[s53,s1120,s1090,s1155]) ).

cnf(s1170,plain,
    $false,
    inference(rat,[],[s1051,s1161,s1160]) ).

fof(f3726,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN450+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n009.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:05:00 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.28  % (3187442)Will run a generic schedule for satisfiability detection.
% 0.21/0.28  % (3187450)dis+10_1_sil=32000:sp=arity:random_seed=974613667:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28  % (3187448)% WARNING: option uhcvi not known.
% 0.21/0.28  % (3187447)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3527010771_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28  % (3187448)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3942583202:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28  % (3187449)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3843835731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28  % (3187451)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1155102300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28  % (3187452)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1540169530:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28  % (3187453)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2211727850:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28  % Detected minimum model sizes of [1]
% 0.21/0.28  % Detected maximum model sizes of [30]
% 0.21/0.28  % TRYING [1]
% 0.21/0.28  % TRYING [2]
% 0.21/0.28  % TRYING [3]
% 0.21/0.28  % TRYING [4]
% 0.21/0.28  % (3187450) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3187442-3187450"...
% 0.21/0.28  % (3187450)...printing done.
% 0.21/0.28  % (3187450)Refutation found. Thanks to Tanya!
% 0.21/0.28  % SZS status Theorem for theBenchmark
% 0.21/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29  % (3187450)------------------------------
% 0.21/0.29  % (3187450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29  % (3187450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29  % (3187450)CaDiCaL version: 2.1.3
% 0.21/0.29  % (3187450)Termination reason: Refutation
% 0.21/0.29  % (3187450)Time elapsed: 0.033 s
% 0.21/0.29  % (3187450)Peak memory usage: 14 MB
% 0.21/0.29  % (3187450)Instructions burned: 92 (million)
% 0.21/0.29  % (3187442)Success in time 0.063 s
% 0.21/0.29  % Vampire exiting
%------------------------------------------------------------------------------