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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN469+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:24 PM UTC 2026

% Result   : Theorem 2.81s 1.14s
% Output   : Refutation 3.95s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a400)
          & c2_1(a400)
          & ~ c3_1(a400) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a401)
          & c1_1(a401)
          & ~ c3_1(a401) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a402)
          & ~ c1_1(a402)
          & ~ c2_1(a402) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a403)
          & ~ c2_1(a403)
          & ~ c3_1(a403) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a404)
          & c3_1(a404)
          & ~ c2_1(a404) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a408)
          & c3_1(a408)
          & ~ c0_1(a408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a409)
          & ~ c0_1(a409)
          & ~ c3_1(a409) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a410)
          & ~ c1_1(a410)
          & ~ c3_1(a410) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a415)
          & c3_1(a415)
          & ~ c1_1(a415) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a416)
          & ~ c0_1(a416)
          & ~ c1_1(a416) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a418)
          & ~ c0_1(a418)
          & ~ c2_1(a418) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a420)
          & ~ c1_1(a420)
          & ~ c2_1(a420) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a426)
          & c1_1(a426)
          & ~ c2_1(a426) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a427)
          & c2_1(a427)
          & ~ c0_1(a427) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a428)
          & ~ c0_1(a428)
          & ~ c1_1(a428) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a430)
          & c2_1(a430)
          & ~ c3_1(a430) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a434)
          & ~ c0_1(a434)
          & ~ c3_1(a434) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a439)
          & ~ c2_1(a439)
          & ~ c3_1(a439) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a440)
          & ~ c2_1(a440)
          & ~ c3_1(a440) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a445)
          & c3_1(a445)
          & ~ c0_1(a445) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a449)
          & c3_1(a449)
          & ~ c2_1(a449) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a450)
          & ~ c1_1(a450)
          & ~ c3_1(a450) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a451)
          & c2_1(a451)
          & ~ c1_1(a451) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a477)
          & ~ c0_1(a477)
          & ~ c2_1(a477) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a405)
          & c1_1(a405)
          & c3_1(a405) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a407)
          & c2_1(a407)
          & c3_1(a407) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a412)
          & c1_1(a412)
          & c2_1(a412) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a414)
          & c2_1(a414)
          & c3_1(a414) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c2_1(X1)
              | ~ c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | ~ c0_1(X3)
              | ~ c1_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c2_1(X4)
              | ~ c3_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp1
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c3_1(X8)
              | ~ c2_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c1_1(X10)
              | ~ c2_1(X10) ) )
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c3_1(X13)
              | ~ c1_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c3_1(X15) ) )
        | hskp4 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | hskp25
        | hskp3 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp26
        | hskp5 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c3_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) )
        | hskp6 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | c3_1(X27)
              | ~ c1_1(X27) ) )
        | hskp7 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | ~ c0_1(X29)
              | ~ c1_1(X29) ) )
        | hskp4 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp27
        | hskp0 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | hskp28 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | hskp8
        | hskp9 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | ~ c0_1(X38)
              | ~ c2_1(X38) ) )
        | hskp4 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) )
        | hskp10 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp0
        | hskp11 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp5
        | hskp3 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c3_1(X44)
              | ~ c0_1(X44) ) )
        | hskp9 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp1 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c2_1(X48)
              | ~ c0_1(X48) ) )
        | hskp9 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | hskp12 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) )
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp14 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) )
        | hskp1 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp15
        | hskp6 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp27
        | hskp9 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp16
        | hskp3 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c0_1(X66)
              | ~ c1_1(X66) ) )
        | hskp11 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c1_1(X69)
              | ~ c2_1(X69) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) )
        | hskp4 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp2
        | hskp17 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp18
        | hskp3 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp9 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp12
        | hskp1 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp19 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp3 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp4
        | hskp3 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp20
        | hskp21 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | hskp22 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | c3_1(X90)
              | ~ c0_1(X90) ) )
        | hskp2
        | hskp11 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp20 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | hskp28
        | hskp4 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp2
        | hskp7 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | hskp27
        | hskp23 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp12
        | hskp9 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp7
        | hskp16 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c1_1(X98)
              | ~ c3_1(X98) ) )
        | hskp25
        | hskp28 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | hskp2
        | hskp13 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp4
        | hskp5 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp20 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | hskp20
        | hskp5 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c1_1(X103)
              | ~ c2_1(X103) ) )
        | hskp12
        | hskp10 )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp19
        | hskp24 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp22
        | hskp11 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) )
        | hskp4
        | hskp9 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a400)
            & c2_1(a400)
            & ~ c3_1(a400) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a401)
            & c1_1(a401)
            & ~ c3_1(a401) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a402)
            & ~ c1_1(a402)
            & ~ c2_1(a402) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a403)
            & ~ c2_1(a403)
            & ~ c3_1(a403) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a404)
            & c3_1(a404)
            & ~ c2_1(a404) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a408)
            & c3_1(a408)
            & ~ c0_1(a408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409)
            & ~ c3_1(a409) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a410)
            & ~ c1_1(a410)
            & ~ c3_1(a410) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a415)
            & c3_1(a415)
            & ~ c1_1(a415) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a416)
            & ~ c0_1(a416)
            & ~ c1_1(a416) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a418)
            & ~ c0_1(a418)
            & ~ c2_1(a418) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a420)
            & ~ c1_1(a420)
            & ~ c2_1(a420) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a426)
            & c1_1(a426)
            & ~ c2_1(a426) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a427)
            & c2_1(a427)
            & ~ c0_1(a427) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a428)
            & ~ c0_1(a428)
            & ~ c1_1(a428) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a430)
            & c2_1(a430)
            & ~ c3_1(a430) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a434)
            & ~ c0_1(a434)
            & ~ c3_1(a434) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a439)
            & ~ c2_1(a439)
            & ~ c3_1(a439) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a440)
            & ~ c2_1(a440)
            & ~ c3_1(a440) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a445)
            & c3_1(a445)
            & ~ c0_1(a445) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a449)
            & c3_1(a449)
            & ~ c2_1(a449) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a450)
            & ~ c1_1(a450)
            & ~ c3_1(a450) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a451)
            & c2_1(a451)
            & ~ c1_1(a451) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a477)
            & ~ c0_1(a477)
            & ~ c2_1(a477) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a405)
            & c1_1(a405)
            & c3_1(a405) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a407)
            & c2_1(a407)
            & c3_1(a407) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a412)
            & c1_1(a412)
            & c2_1(a412) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a414)
            & c2_1(a414)
            & c3_1(a414) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c2_1(X1)
                | ~ c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | ~ c0_1(X3)
                | ~ c1_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp1
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c3_1(X8)
                | ~ c2_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) )
          | hskp4 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp25
          | hskp3 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp26
          | hskp5 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c3_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | hskp6 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c3_1(X27)
                | ~ c1_1(X27) ) )
          | hskp7 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) )
          | hskp4 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp27
          | hskp0 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | hskp28 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | hskp8
          | hskp9 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | ~ c0_1(X38)
                | ~ c2_1(X38) ) )
          | hskp4 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) )
          | hskp10 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp0
          | hskp11 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp5
          | hskp3 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c3_1(X44)
                | ~ c0_1(X44) ) )
          | hskp9 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp1 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c2_1(X48)
                | ~ c0_1(X48) ) )
          | hskp9 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp12 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp14 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) )
          | hskp1 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp15
          | hskp6 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp27
          | hskp9 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp16
          | hskp3 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c0_1(X66)
                | ~ c1_1(X66) ) )
          | hskp11 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c1_1(X69)
                | ~ c2_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | hskp4 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp2
          | hskp17 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp18
          | hskp3 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp12
          | hskp1 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp19 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp4
          | hskp3 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp20
          | hskp21 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp22 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c3_1(X90)
                | ~ c0_1(X90) ) )
          | hskp2
          | hskp11 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp20 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | hskp28
          | hskp4 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp2
          | hskp7 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp27
          | hskp23 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp12
          | hskp9 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp7
          | hskp16 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp25
          | hskp28 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp2
          | hskp13 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp4
          | hskp5 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp20 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp20
          | hskp5 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp12
          | hskp10 )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp19
          | hskp24 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp22
          | hskp11 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp4
          | hskp9 )
        & ( hskp25
          | hskp24
          | hskp21 )
        & ( hskp15
          | hskp7
          | hskp3 )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( hskp8
          | hskp3
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a400)
        & c2_1(a400)
        & ~ c3_1(a400) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a401)
        & c1_1(a401)
        & ~ c3_1(a401) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a402)
        & ~ c1_1(a402)
        & ~ c2_1(a402) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a403)
        & ~ c2_1(a403)
        & ~ c3_1(a403) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a404)
        & c3_1(a404)
        & ~ c2_1(a404) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a408)
        & c3_1(a408)
        & ~ c0_1(a408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409)
        & ~ c3_1(a409) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a410)
        & ~ c1_1(a410)
        & ~ c3_1(a410) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a415)
        & c3_1(a415)
        & ~ c1_1(a415) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a416)
        & ~ c0_1(a416)
        & ~ c1_1(a416) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a418)
        & ~ c0_1(a418)
        & ~ c2_1(a418) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a420)
        & ~ c1_1(a420)
        & ~ c2_1(a420) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a426)
        & c1_1(a426)
        & ~ c2_1(a426) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a427)
        & c2_1(a427)
        & ~ c0_1(a427) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a428)
        & ~ c0_1(a428)
        & ~ c1_1(a428) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a430)
        & c2_1(a430)
        & ~ c3_1(a430) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a434)
        & ~ c0_1(a434)
        & ~ c3_1(a434) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a439)
        & ~ c2_1(a439)
        & ~ c3_1(a439) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a440)
        & ~ c2_1(a440)
        & ~ c3_1(a440) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a445)
        & c3_1(a445)
        & ~ c0_1(a445) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a449)
        & c3_1(a449)
        & ~ c2_1(a449) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a450)
        & ~ c1_1(a450)
        & ~ c3_1(a450) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a451)
        & c2_1(a451)
        & ~ c1_1(a451) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a477)
        & ~ c0_1(a477)
        & ~ c2_1(a477) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a405)
        & c1_1(a405)
        & c3_1(a405) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a407)
        & c2_1(a407)
        & c3_1(a407) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a412)
        & c1_1(a412)
        & c2_1(a412) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a414)
        & c2_1(a414)
        & c3_1(a414) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | ~ c2_1(X1)
            | ~ c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | ~ c0_1(X3)
            | ~ c1_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | c3_1(X8)
            | ~ c2_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c1_1(X10)
            | ~ c2_1(X10) ) )
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c3_1(X13)
            | ~ c1_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | ~ c3_1(X15) ) )
      | hskp4 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | c2_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp25
      | hskp3 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp26
      | hskp5 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c3_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c3_1(X25)
            | ~ c2_1(X25) ) )
      | hskp6 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c3_1(X27)
            | ~ c1_1(X27) ) )
      | hskp7 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c0_1(X29)
            | ~ c1_1(X29) ) )
      | hskp4 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp27
      | hskp0 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | hskp28 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | ~ c0_1(X38)
            | ~ c2_1(X38) ) )
      | hskp4 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) )
      | hskp10 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp0
      | hskp11 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | hskp5
      | hskp3 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c3_1(X44)
            | ~ c0_1(X44) ) )
      | hskp9 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c3_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | hskp1 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c2_1(X48)
            | ~ c0_1(X48) ) )
      | hskp9 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c3_1(X50)
            | ~ c2_1(X50) ) )
      | hskp12 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) )
      | hskp13 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp14 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c3_1(X56)
            | ~ c0_1(X56) ) )
      | hskp1 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c0_1(X59)
            | ~ c2_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp15
      | hskp6 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c0_1(X62)
            | ~ c3_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | hskp27
      | hskp9 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | hskp16
      | hskp3 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | ~ c0_1(X66)
            | ~ c1_1(X66) ) )
      | hskp11 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c0_1(X68)
            | ~ c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c1_1(X69)
            | ~ c2_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | ~ c2_1(X71) ) )
      | hskp4 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp2
      | hskp17 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp18
      | hskp3 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp9 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp12
      | hskp1 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c3_1(X80)
            | ~ c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | ~ c1_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp19 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp3 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp4
      | hskp3 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp20
      | hskp21 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) )
      | hskp22 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c3_1(X90)
            | ~ c0_1(X90) ) )
      | hskp2
      | hskp11 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c1_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp20 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | hskp28
      | hskp4 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c3_1(X94)
            | ~ c1_1(X94) ) )
      | hskp2
      | hskp7 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp27
      | hskp23 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp12
      | hskp9 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp7
      | hskp16 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c1_1(X98)
            | ~ c3_1(X98) ) )
      | hskp25
      | hskp28 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c1_1(X99)
            | ~ c3_1(X99) ) )
      | hskp2
      | hskp13 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp4
      | hskp5 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp20 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | ~ c0_1(X102)
            | ~ c1_1(X102) ) )
      | hskp20
      | hskp5 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c3_1(X103)
            | ~ c1_1(X103)
            | ~ c2_1(X103) ) )
      | hskp12
      | hskp10 )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | ~ c1_1(X104)
            | ~ c2_1(X104) ) )
      | hskp19
      | hskp24 )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp22
      | hskp11 )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c2_1(X106)
            | ~ c3_1(X106) ) )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a400)
        & c2_1(a400)
        & ~ c3_1(a400) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a401)
        & c1_1(a401)
        & ~ c3_1(a401) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a402)
        & ~ c1_1(a402)
        & ~ c2_1(a402) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a403)
        & ~ c2_1(a403)
        & ~ c3_1(a403) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a404)
        & c3_1(a404)
        & ~ c2_1(a404) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a408)
        & c3_1(a408)
        & ~ c0_1(a408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409)
        & ~ c3_1(a409) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a410)
        & ~ c1_1(a410)
        & ~ c3_1(a410) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a415)
        & c3_1(a415)
        & ~ c1_1(a415) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a416)
        & ~ c0_1(a416)
        & ~ c1_1(a416) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a418)
        & ~ c0_1(a418)
        & ~ c2_1(a418) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a420)
        & ~ c1_1(a420)
        & ~ c2_1(a420) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a426)
        & c1_1(a426)
        & ~ c2_1(a426) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a427)
        & c2_1(a427)
        & ~ c0_1(a427) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a428)
        & ~ c0_1(a428)
        & ~ c1_1(a428) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a430)
        & c2_1(a430)
        & ~ c3_1(a430) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a434)
        & ~ c0_1(a434)
        & ~ c3_1(a434) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a439)
        & ~ c2_1(a439)
        & ~ c3_1(a439) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a440)
        & ~ c2_1(a440)
        & ~ c3_1(a440) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a445)
        & c3_1(a445)
        & ~ c0_1(a445) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a449)
        & c3_1(a449)
        & ~ c2_1(a449) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a450)
        & ~ c1_1(a450)
        & ~ c3_1(a450) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a451)
        & c2_1(a451)
        & ~ c1_1(a451) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a477)
        & ~ c0_1(a477)
        & ~ c2_1(a477) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a405)
        & c1_1(a405)
        & c3_1(a405) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a407)
        & c2_1(a407)
        & c3_1(a407) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a412)
        & c1_1(a412)
        & c2_1(a412) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a414)
        & c2_1(a414)
        & c3_1(a414) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c3_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp26
      | hskp5 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp5
      | hskp3 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp15
      | hskp6 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp27
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp16
      | hskp3 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp2
      | hskp17 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp18
      | hskp3 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp12
      | hskp1 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp4
      | hskp3 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp2
      | hskp11 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp27
      | hskp23 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp9 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp28 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp2
      | hskp13 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp12
      | hskp10 )
    & ( ! [X104] :
          ( ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( ! [X105] :
          ( ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp22
      | hskp11 )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a400)
        & c2_1(a400)
        & ~ c3_1(a400) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a401)
        & c1_1(a401)
        & ~ c3_1(a401) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a402)
        & ~ c1_1(a402)
        & ~ c2_1(a402) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a403)
        & ~ c2_1(a403)
        & ~ c3_1(a403) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a404)
        & c3_1(a404)
        & ~ c2_1(a404) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a408)
        & c3_1(a408)
        & ~ c0_1(a408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409)
        & ~ c3_1(a409) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a410)
        & ~ c1_1(a410)
        & ~ c3_1(a410) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a415)
        & c3_1(a415)
        & ~ c1_1(a415) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a416)
        & ~ c0_1(a416)
        & ~ c1_1(a416) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a418)
        & ~ c0_1(a418)
        & ~ c2_1(a418) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a420)
        & ~ c1_1(a420)
        & ~ c2_1(a420) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a426)
        & c1_1(a426)
        & ~ c2_1(a426) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a427)
        & c2_1(a427)
        & ~ c0_1(a427) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a428)
        & ~ c0_1(a428)
        & ~ c1_1(a428) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a430)
        & c2_1(a430)
        & ~ c3_1(a430) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a434)
        & ~ c0_1(a434)
        & ~ c3_1(a434) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a439)
        & ~ c2_1(a439)
        & ~ c3_1(a439) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a440)
        & ~ c2_1(a440)
        & ~ c3_1(a440) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a445)
        & c3_1(a445)
        & ~ c0_1(a445) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a449)
        & c3_1(a449)
        & ~ c2_1(a449) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a450)
        & ~ c1_1(a450)
        & ~ c3_1(a450) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a451)
        & c2_1(a451)
        & ~ c1_1(a451) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a477)
        & ~ c0_1(a477)
        & ~ c2_1(a477) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a405)
        & c1_1(a405)
        & c3_1(a405) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a407)
        & c2_1(a407)
        & c3_1(a407) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a412)
        & c1_1(a412)
        & c2_1(a412) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a414)
        & c2_1(a414)
        & c3_1(a414) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c3_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp25
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp26
      | hskp5 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c1_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp0
      | hskp11 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp5
      | hskp3 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X55] :
          ( c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp15
      | hskp6 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp27
      | hskp9 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp16
      | hskp3 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c3_1(X66)
          | ~ c0_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c2_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp2
      | hskp17 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp18
      | hskp3 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp12
      | hskp1 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp4
      | hskp3 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X90] :
          ( c2_1(X90)
          | c3_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | hskp2
      | hskp11 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp27
      | hskp23 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp9 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp25
      | hskp28 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp2
      | hskp13 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X103] :
          ( c3_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | hskp12
      | hskp10 )
    & ( ! [X104] :
          ( ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0 )
      | hskp19
      | hskp24 )
    & ( ! [X105] :
          ( ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp22
      | hskp11 )
    & ( ! [X106] :
          ( ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp8
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp18
    | hskp20
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp15
    | hskp7
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X106] :
      ( ~ c0_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp4
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X103] :
      ( c3_1(X103)
      | ~ c1_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | hskp12
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X101] :
      ( c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X99] :
      ( c2_1(X99)
      | ~ c1_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp2
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X97] :
      ( c2_1(X97)
      | ~ c0_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp7
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp12
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X95] :
      ( c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp27
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X94] :
      ( c2_1(X94)
      | c3_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | hskp2
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X86] :
      ( c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp4
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | c3_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp12
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp18
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp2
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X72,X73,X74] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X68,X69,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ c1_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | hskp15
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c3_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X36] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | hskp27
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X19] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | hskp25
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp28
    | c3_1(a414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp28
    | c2_1(a414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp28
    | c0_1(a414) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp27
    | c2_1(a412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp27
    | c1_1(a412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp27
    | c0_1(a412) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp25
    | c3_1(a405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp25
    | c1_1(a405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp25
    | c0_1(a405) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp23
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp23
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp23
    | c1_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp22
    | ~ c1_1(a451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp22
    | c2_1(a451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp22
    | c0_1(a451) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp20
    | ~ c2_1(a449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp20
    | c3_1(a449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp20
    | c1_1(a449) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp19
    | ~ c0_1(a445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp19
    | c3_1(a445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp19
    | c1_1(a445) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp18
    | ~ c3_1(a440) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp18
    | ~ c2_1(a440) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp18
    | c0_1(a440) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp17
    | ~ c3_1(a439) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp17
    | ~ c1_1(a439) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp16
    | ~ c3_1(a434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp16
    | ~ c0_1(a434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp16
    | c1_1(a434) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp15
    | ~ c3_1(a430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp15
    | c2_1(a430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp15
    | c0_1(a430) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp14
    | ~ c1_1(a428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp14
    | ~ c0_1(a428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp14
    | c2_1(a428) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp13
    | ~ c0_1(a427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp13
    | c2_1(a427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp13
    | c1_1(a427) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp12
    | ~ c2_1(a426) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp12
    | c1_1(a426) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp12
    | c0_1(a426) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp10
    | ~ c2_1(a418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp10
    | ~ c0_1(a418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp10
    | c1_1(a418) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp9
    | ~ c1_1(a416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp9
    | ~ c0_1(a416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp9
    | c3_1(a416) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp8
    | ~ c1_1(a415) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp8
    | c3_1(a415) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp8
    | c2_1(a415) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp7
    | ~ c3_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp7
    | ~ c1_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp7
    | c0_1(a410) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp6
    | ~ c3_1(a409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp6
    | ~ c0_1(a409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp6
    | c2_1(a409) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp4
    | ~ c2_1(a404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp4
    | c3_1(a404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp4
    | c0_1(a404) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp3
    | ~ c3_1(a403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp3
    | ~ c2_1(a403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp3
    | ~ c0_1(a403) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp2
    | ~ c2_1(a402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp2
    | ~ c1_1(a402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp2
    | c0_1(a402) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp1
    | ~ c3_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp1
    | c1_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp1
    | c0_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp0
    | c2_1(a400) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp0
    | c1_1(a400) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c1_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f191,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c0_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f192,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f193,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | c3_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f194,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ c1_1(X81) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f196,plain,
    ! [X72,X73,X74] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | c2_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f198,plain,
    ! [X68,X69,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ c1_1(X68)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f200,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f201,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f202,plain,
    ! [X56,X55] :
      ( c0_1(X55)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | c3_1(X56)
      | ~ c0_1(X56)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f203,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c1_1(X54)
      | ~ c3_1(X54)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f205,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c3_1(X50)
      | ~ c2_1(X50)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f206,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c2_1(X48)
      | ~ c0_1(X48)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f207,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c3_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f209,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f211,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f213,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f214,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | c3_1(X27)
      | ~ c1_1(X27)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f216,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f219,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13) ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f221,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | c1_1(X8)
      | c3_1(X8)
      | ~ c2_1(X8) ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f225,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f228,definition,
    ( spl0_2
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f231,definition,
    ( spl0_3
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f233,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f231,f228,f225]) ).

fof(f235,definition,
    ( spl0_4
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f238,definition,
    ( spl0_5
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f241,definition,
    ( spl0_6
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f243,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f241,f238,f235]) ).

fof(f245,definition,
    ( spl0_7
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f248,definition,
    ( spl0_8
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f250,plain,
    ( spl0_2
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f248,f245,f228]) ).

fof(f258,definition,
    ( spl0_11
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f262,definition,
    ( spl0_12
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f265,definition,
    ( spl0_13
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_15
  <=> ! [X106] :
        ( ~ c0_1(X106)
        | ~ c3_1(X106)
        | ~ c2_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X106] :
        ( ~ c0_1(X106)
        | ~ c3_1(X106)
        | ~ c2_1(X106) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f10,f271,f268,f265,f262]) ).

fof(f278,definition,
    ( spl0_17
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_18
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_19
  <=> ! [X104] :
        ( ~ c0_1(X104)
        | ~ c2_1(X104)
        | ~ c1_1(X104) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X104] :
        ( ~ c1_1(X104)
        | ~ c2_1(X104)
        | ~ c0_1(X104) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f289,definition,
    ( spl0_20
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_21
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_22
  <=> ! [X103] :
        ( c3_1(X103)
        | ~ c2_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c2_1(X103)
        | c3_1(X103) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f297,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_14
    | spl0_22 ),
    inference(avatar_split_clause,[],[f13,f295,f268,f292,f289]) ).

fof(f302,definition,
    ( spl0_24
  <=> ! [X102] :
        ( c3_1(X102)
        | ~ c1_1(X102)
        | ~ c0_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f303,plain,
    ( ! [X102] :
        ( ~ c1_1(X102)
        | c3_1(X102)
        | ~ c0_1(X102) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f305,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f15,f302,f268,f238]) ).

fof(f308,definition,
    ( spl0_25
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f311,definition,
    ( spl0_26
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_27
  <=> ! [X99] :
        ( c2_1(X99)
        | ~ c3_1(X99)
        | ~ c1_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X99] :
        ( ~ c1_1(X99)
        | ~ c3_1(X99)
        | c2_1(X99) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f316,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_14
    | spl0_27 ),
    inference(avatar_split_clause,[],[f17,f314,f268,f311,f308]) ).

fof(f318,definition,
    ( spl0_28
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_29
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_30
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c3_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X97] :
        ( ~ c0_1(X97)
        | ~ c3_1(X97)
        | c2_1(X97) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( spl0_29
    | spl0_7
    | ~ spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f19,f325,f268,f245,f322]) ).

fof(f328,plain,
    ( spl0_12
    | spl0_21
    | ~ spl0_14
    | spl0_30 ),
    inference(avatar_split_clause,[],[f20,f325,f268,f292,f262]) ).

fof(f330,definition,
    ( spl0_31
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f333,definition,
    ( spl0_32
  <=> ! [X95] :
        ( c2_1(X95)
        | ~ c1_1(X95)
        | ~ c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X95] :
        ( ~ c1_1(X95)
        | c2_1(X95)
        | ~ c0_1(X95) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f335,plain,
    ( spl0_4
    | spl0_31
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f21,f333,f268,f330,f235]) ).

fof(f337,definition,
    ( spl0_33
  <=> ! [X94] :
        ( c2_1(X94)
        | ~ c1_1(X94)
        | c3_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f339,plain,
    ( spl0_7
    | spl0_26
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f22,f337,f268,f311,f245]) ).

fof(f341,plain,
    ( spl0_5
    | spl0_15
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f190,f337,f268,f271,f238]) ).

fof(f343,definition,
    ( spl0_34
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c0_1(X90)
        | c3_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X90] :
        ( ~ c0_1(X90)
        | c2_1(X90)
        | c3_1(X90) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f346,plain,
    ( spl0_17
    | spl0_27
    | ~ spl0_14
    | spl0_34 ),
    inference(avatar_split_clause,[],[f191,f343,f268,f314,f278]) ).

fof(f348,definition,
    ( spl0_35
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f351,plain,
    ( spl0_2
    | spl0_13
    | ~ spl0_14
    | spl0_35 ),
    inference(avatar_split_clause,[],[f28,f348,f268,f265,f228]) ).

fof(f353,definition,
    ( spl0_36
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c2_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X84] :
        ( c1_1(X84)
        | ~ c2_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f355,plain,
    ( spl0_2
    | spl0_15
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f192,f353,f268,f271,f228]) ).

fof(f357,definition,
    ( spl0_37
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c2_1(X82)
        | c3_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | ~ c2_1(X82)
        | c3_1(X82) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_18
    | spl0_15
    | ~ spl0_14
    | spl0_37 ),
    inference(avatar_split_clause,[],[f193,f357,f268,f271,f282]) ).

fof(f360,plain,
    ( spl0_24
    | ~ spl0_14
    | spl0_37 ),
    inference(avatar_split_clause,[],[f194,f357,f268,f302]) ).

fof(f362,definition,
    ( spl0_38
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f365,definition,
    ( spl0_39
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c3_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f366,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c0_1(X79)
        | c3_1(X79) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f367,plain,
    ( spl0_38
    | spl0_21
    | ~ spl0_14
    | spl0_39 ),
    inference(avatar_split_clause,[],[f32,f365,f268,f292,f362]) ).

fof(f373,definition,
    ( spl0_41
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_2
    | spl0_6
    | ~ spl0_14
    | spl0_41 ),
    inference(avatar_split_clause,[],[f34,f373,f268,f241,f228]) ).

fof(f376,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_14
    | spl0_41 ),
    inference(avatar_split_clause,[],[f35,f373,f268,f311,f225]) ).

fof(f378,definition,
    ( spl0_42
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c3_1(X73)
        | ~ c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | ~ c3_1(X73)
        | ~ c2_1(X73) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_34
    | spl0_42
    | ~ spl0_14
    | spl0_41 ),
    inference(avatar_split_clause,[],[f196,f373,f268,f378,f343]) ).

fof(f383,definition,
    ( spl0_43
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f385,plain,
    ( spl0_19
    | spl0_32
    | ~ spl0_14
    | spl0_43 ),
    inference(avatar_split_clause,[],[f198,f383,f268,f333,f285]) ).

fof(f387,definition,
    ( spl0_44
  <=> ! [X65] :
        ( c0_1(X65)
        | ~ c3_1(X65)
        | ~ c2_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X65] :
        ( c0_1(X65)
        | ~ c3_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f391,definition,
    ( spl0_45
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | ~ c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f395,plain,
    ( spl0_35
    | ~ spl0_14
    | spl0_45 ),
    inference(avatar_split_clause,[],[f200,f391,f268,f348]) ).

fof(f397,definition,
    ( spl0_46
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_47
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | ~ c2_1(X60)
        | c0_1(X60) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_46
    | spl0_8
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f43,f400,f268,f248,f397]) ).

fof(f404,definition,
    ( spl0_48
  <=> ! [X59] :
        ( c3_1(X59)
        | ~ c2_1(X59)
        | ~ c0_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X59] :
        ( ~ c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_48
    | spl0_42
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f201,f400,f268,f378,f404]) ).

fof(f407,plain,
    ( spl0_38
    | spl0_39
    | ~ spl0_14
    | spl0_47 ),
    inference(avatar_split_clause,[],[f202,f400,f268,f365,f362]) ).

fof(f409,definition,
    ( spl0_49
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_50
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | c3_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | c3_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f414,plain,
    ( spl0_49
    | spl0_27
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f203,f412,f268,f314,f409]) ).

fof(f416,plain,
    ( spl0_21
    | spl0_37
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f205,f412,f268,f357,f292]) ).

fof(f417,plain,
    ( spl0_12
    | spl0_43
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f206,f412,f268,f383,f262]) ).

fof(f418,plain,
    ( spl0_38
    | spl0_44
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f207,f412,f268,f387,f362]) ).

fof(f424,definition,
    ( spl0_52
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | c2_1(X42) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f428,definition,
    ( spl0_53
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f431,plain,
    ( spl0_20
    | spl0_27
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f209,f424,f268,f314,f289]) ).

fof(f434,definition,
    ( spl0_54
  <=> ! [X36] :
        ( c0_1(X36)
        | ~ c1_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f436,plain,
    ( spl0_12
    | spl0_3
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f56,f434,f268,f231,f262]) ).

fof(f437,plain,
    ( spl0_28
    | spl0_41
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f211,f434,f268,f373,f318]) ).

fof(f440,definition,
    ( spl0_55
  <=> ! [X30] :
        ( c0_1(X30)
        | c3_1(X30)
        | c2_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X30] :
        ( c0_1(X30)
        | c3_1(X30)
        | c2_1(X30) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_53
    | spl0_31
    | ~ spl0_14
    | spl0_55 ),
    inference(avatar_split_clause,[],[f59,f440,f268,f330,f428]) ).

fof(f444,definition,
    ( spl0_56
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c3_1(X28)
        | c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X28] :
        ( c1_1(X28)
        | ~ c3_1(X28)
        | c0_1(X28) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( spl0_13
    | spl0_24
    | ~ spl0_14
    | spl0_56 ),
    inference(avatar_split_clause,[],[f213,f444,f268,f302,f265]) ).

fof(f447,plain,
    ( spl0_7
    | spl0_33
    | ~ spl0_14
    | spl0_56 ),
    inference(avatar_split_clause,[],[f214,f444,f268,f337,f245]) ).

fof(f449,plain,
    ( spl0_41
    | spl0_50
    | ~ spl0_14
    | spl0_56 ),
    inference(avatar_split_clause,[],[f216,f444,f268,f412,f373]) ).

fof(f454,definition,
    ( spl0_58
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | ~ c2_1(X20)
        | c0_1(X20) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,plain,
    ( spl0_2
    | spl0_11
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f65,f454,f268,f258,f228]) ).

fof(f460,plain,
    ( spl0_33
    | spl0_55
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f219,f454,f268,f440,f337]) ).

fof(f462,definition,
    ( spl0_59
  <=> ! [X9] :
        ( c0_1(X9)
        | c3_1(X9)
        | c1_1(X9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X9] :
        ( c1_1(X9)
        | c3_1(X9)
        | c0_1(X9) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f465,plain,
    ( spl0_37
    | spl0_56
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f221,f462,f268,f444,f357]) ).

fof(f473,definition,
    ( spl0_61
  <=> c3_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f476,plain,
    ( spl0_61
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f74,f318,f473]) ).

fof(f478,definition,
    ( spl0_62
  <=> c2_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f480,plain,
    ( spl0_62
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f75,f318,f478]) ).

fof(f482,definition,
    ( spl0_63
  <=> c0_1(a414) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f483,plain,
    ( c0_1(a414)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f484,plain,
    ( spl0_63
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f76,f318,f482]) ).

fof(f488,definition,
    ( spl0_64
  <=> c2_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f491,plain,
    ( spl0_64
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f78,f330,f488]) ).

fof(f493,definition,
    ( spl0_65
  <=> c1_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f494,plain,
    ( c1_1(a412)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( spl0_65
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f79,f330,f493]) ).

fof(f497,definition,
    ( spl0_66
  <=> c0_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f498,plain,
    ( c0_1(a412)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_66
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f80,f330,f497]) ).

fof(f516,definition,
    ( spl0_70
  <=> c3_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f519,plain,
    ( spl0_70
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f86,f258,f516]) ).

fof(f521,definition,
    ( spl0_71
  <=> c1_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f522,plain,
    ( c1_1(a405)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( spl0_71
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f258,f521]) ).

fof(f525,definition,
    ( spl0_72
  <=> c0_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f526,plain,
    ( c0_1(a405)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f527,plain,
    ( spl0_72
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f258,f525]) ).

fof(f544,definition,
    ( spl0_76
  <=> c3_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ spl0_76
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f94,f235,f544]) ).

fof(f549,definition,
    ( spl0_77
  <=> c2_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f551,plain,
    ( ~ spl0_77
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f95,f235,f549]) ).

fof(f553,definition,
    ( spl0_78
  <=> c1_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f554,plain,
    ( c1_1(a460)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( spl0_78
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f96,f235,f553]) ).

fof(f558,definition,
    ( spl0_79
  <=> c1_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ c1_1(a451)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,plain,
    ( ~ spl0_79
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f98,f278,f558]) ).

fof(f563,definition,
    ( spl0_80
  <=> c2_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_80
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f99,f278,f563]) ).

fof(f567,definition,
    ( spl0_81
  <=> c0_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f568,plain,
    ( c0_1(a451)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( spl0_81
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f100,f278,f567]) ).

fof(f586,definition,
    ( spl0_85
  <=> c2_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ spl0_85
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f106,f238,f586]) ).

fof(f591,definition,
    ( spl0_86
  <=> c3_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_86
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f107,f238,f591]) ).

fof(f595,definition,
    ( spl0_87
  <=> c1_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f596,plain,
    ( c1_1(a449)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f597,plain,
    ( spl0_87
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f108,f238,f595]) ).

fof(f600,definition,
    ( spl0_88
  <=> c0_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f601,plain,
    ( ~ c0_1(a445)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f603,plain,
    ( ~ spl0_88
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f110,f282,f600]) ).

fof(f605,definition,
    ( spl0_89
  <=> c3_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f607,plain,
    ( spl0_89
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f111,f282,f605]) ).

fof(f609,definition,
    ( spl0_90
  <=> c1_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f610,plain,
    ( c1_1(a445)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f611,plain,
    ( spl0_90
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f112,f282,f609]) ).

fof(f614,definition,
    ( spl0_91
  <=> c3_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_91
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f114,f241,f614]) ).

fof(f619,definition,
    ( spl0_92
  <=> c2_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f115,f241,f619]) ).

fof(f623,definition,
    ( spl0_93
  <=> c0_1(a440) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f624,plain,
    ( c0_1(a440)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f625,plain,
    ( spl0_93
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f116,f241,f623]) ).

fof(f628,definition,
    ( spl0_94
  <=> c3_1(a439) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f118,f225,f628]) ).

fof(f637,definition,
    ( spl0_96
  <=> c1_1(a439) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ c1_1(a439)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f639,plain,
    ( ~ spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f120,f225,f637]) ).

fof(f640,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f121,f225,f268]) ).

fof(f642,definition,
    ( spl0_97
  <=> c3_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ spl0_97
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f122,f322,f642]) ).

fof(f647,definition,
    ( spl0_98
  <=> c0_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ c0_1(a434)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl0_98
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f123,f322,f647]) ).

fof(f651,definition,
    ( spl0_99
  <=> c1_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f652,plain,
    ( c1_1(a434)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( spl0_99
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f124,f322,f651]) ).

fof(f656,definition,
    ( spl0_100
  <=> c3_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ c3_1(a430)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,plain,
    ( ~ spl0_100
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f126,f248,f656]) ).

fof(f661,definition,
    ( spl0_101
  <=> c2_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f662,plain,
    ( c2_1(a430)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f663,plain,
    ( spl0_101
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f127,f248,f661]) ).

fof(f665,definition,
    ( spl0_102
  <=> c0_1(a430) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f666,plain,
    ( c0_1(a430)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_102
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f128,f248,f665]) ).

fof(f670,definition,
    ( spl0_103
  <=> c1_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f671,plain,
    ( ~ c1_1(a428)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f673,plain,
    ( ~ spl0_103
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f130,f409,f670]) ).

fof(f675,definition,
    ( spl0_104
  <=> c0_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f676,plain,
    ( ~ c0_1(a428)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f677,plain,
    ( ~ spl0_104
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f131,f409,f675]) ).

fof(f679,definition,
    ( spl0_105
  <=> c2_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f681,plain,
    ( spl0_105
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f132,f409,f679]) ).

fof(f684,definition,
    ( spl0_106
  <=> c0_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ c0_1(a427)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,plain,
    ( ~ spl0_106
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f134,f308,f684]) ).

fof(f689,definition,
    ( spl0_107
  <=> c2_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_107
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f135,f308,f689]) ).

fof(f693,definition,
    ( spl0_108
  <=> c1_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f694,plain,
    ( c1_1(a427)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( spl0_108
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f136,f308,f693]) ).

fof(f698,definition,
    ( spl0_109
  <=> c2_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ spl0_109
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f138,f292,f698]) ).

fof(f703,definition,
    ( spl0_110
  <=> c1_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f704,plain,
    ( c1_1(a426)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f705,plain,
    ( spl0_110
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f139,f292,f703]) ).

fof(f707,definition,
    ( spl0_111
  <=> c0_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f708,plain,
    ( c0_1(a426)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f707]) ).

fof(f709,plain,
    ( spl0_111
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f140,f292,f707]) ).

fof(f726,definition,
    ( spl0_115
  <=> c2_1(a418) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ spl0_115
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f146,f289,f726]) ).

fof(f731,definition,
    ( spl0_116
  <=> c0_1(a418) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_116
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f147,f289,f731]) ).

fof(f735,definition,
    ( spl0_117
  <=> c1_1(a418) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f736,plain,
    ( c1_1(a418)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( spl0_117
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f148,f289,f735]) ).

fof(f740,definition,
    ( spl0_118
  <=> c1_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ c1_1(a416)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( ~ spl0_118
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f150,f262,f740]) ).

fof(f745,definition,
    ( spl0_119
  <=> c0_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f746,plain,
    ( ~ c0_1(a416)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f747,plain,
    ( ~ spl0_119
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f151,f262,f745]) ).

fof(f749,definition,
    ( spl0_120
  <=> c3_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f751,plain,
    ( spl0_120
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f152,f262,f749]) ).

fof(f754,definition,
    ( spl0_121
  <=> c1_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ c1_1(a415)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ( ~ spl0_121
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f154,f231,f754]) ).

fof(f759,definition,
    ( spl0_122
  <=> c3_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_122
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f155,f231,f759]) ).

fof(f763,definition,
    ( spl0_123
  <=> c2_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f765,plain,
    ( spl0_123
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f156,f231,f763]) ).

fof(f766,plain,
    ( spl0_14
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f157,f231,f268]) ).

fof(f768,definition,
    ( spl0_124
  <=> c3_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_124
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f158,f245,f768]) ).

fof(f773,definition,
    ( spl0_125
  <=> c1_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ c1_1(a410)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f775,plain,
    ( ~ spl0_125
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f159,f245,f773]) ).

fof(f777,definition,
    ( spl0_126
  <=> c0_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f778,plain,
    ( c0_1(a410)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f779,plain,
    ( spl0_126
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f160,f245,f777]) ).

fof(f782,definition,
    ( spl0_127
  <=> c3_1(a409) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ spl0_127
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f162,f397,f782]) ).

fof(f787,definition,
    ( spl0_128
  <=> c0_1(a409) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ c0_1(a409)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f789,plain,
    ( ~ spl0_128
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f163,f397,f787]) ).

fof(f791,definition,
    ( spl0_129
  <=> c2_1(a409) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_129
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f164,f397,f791]) ).

fof(f810,definition,
    ( spl0_133
  <=> c2_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ spl0_133
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f170,f265,f810]) ).

fof(f815,definition,
    ( spl0_134
  <=> c3_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f817,plain,
    ( spl0_134
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f171,f265,f815]) ).

fof(f819,definition,
    ( spl0_135
  <=> c0_1(a404) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f820,plain,
    ( c0_1(a404)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( spl0_135
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f172,f265,f819]) ).

fof(f824,definition,
    ( spl0_136
  <=> c3_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_136
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f174,f228,f824]) ).

fof(f829,definition,
    ( spl0_137
  <=> c2_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_137
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f175,f228,f829]) ).

fof(f833,definition,
    ( spl0_138
  <=> c0_1(a403) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ c0_1(a403)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f835,plain,
    ( ~ spl0_138
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f176,f228,f833]) ).

fof(f836,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f177,f228,f268]) ).

fof(f838,definition,
    ( spl0_139
  <=> c2_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f841,plain,
    ( ~ spl0_139
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f178,f311,f838]) ).

fof(f843,definition,
    ( spl0_140
  <=> c1_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f844,plain,
    ( ~ c1_1(a402)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f845,plain,
    ( ~ spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f179,f311,f843]) ).

fof(f847,definition,
    ( spl0_141
  <=> c0_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f848,plain,
    ( c0_1(a402)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( spl0_141
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f311,f847]) ).

fof(f852,definition,
    ( spl0_142
  <=> c3_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ spl0_142
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f182,f362,f852]) ).

fof(f857,definition,
    ( spl0_143
  <=> c1_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f858,plain,
    ( c1_1(a401)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f859,plain,
    ( spl0_143
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f183,f362,f857]) ).

fof(f861,definition,
    ( spl0_144
  <=> c0_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f862,plain,
    ( c0_1(a401)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f861]) ).

fof(f863,plain,
    ( spl0_144
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f184,f362,f861]) ).

fof(f871,definition,
    ( spl0_146
  <=> c2_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_146
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f187,f428,f871]) ).

fof(f875,definition,
    ( spl0_147
  <=> c1_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f876,plain,
    ( c1_1(a400)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f877,plain,
    ( spl0_147
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f188,f428,f875]) ).

fof(f883,definition,
    ( spl0_148
  <=> c0_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f884,plain,
    ( ~ c0_1(a460)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f895,plain,
    ( ~ c2_1(a412)
    | ~ c0_1(a412)
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(resolution,[],[f494,f286]) ).

fof(f898,plain,
    ( ~ spl0_66
    | ~ spl0_64
    | ~ spl0_19
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f895,f493,f285,f488,f497]) ).

fof(f900,definition,
    ( spl0_149
  <=> c3_1(a412) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ c3_1(a449)
    | c2_1(a449)
    | ~ spl0_27
    | ~ spl0_87 ),
    inference(resolution,[],[f596,f315]) ).

fof(f914,plain,
    ( spl0_85
    | ~ spl0_86
    | ~ spl0_27
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f909,f595,f314,f591,f586]) ).

fof(f921,definition,
    ( spl0_150
  <=> c3_1(a427) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(resolution,[],[f354,f303]) ).

fof(f931,plain,
    ( ~ c2_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_36
    | spl0_79 ),
    inference(resolution,[],[f354,f559]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f926]) ).

fof(f936,plain,
    ( ~ spl0_81
    | ~ spl0_80
    | ~ spl0_36
    | spl0_79 ),
    inference(avatar_split_clause,[],[f931,f558,f353,f563,f567]) ).

fof(f938,plain,
    ( spl0_48
    | ~ spl0_24
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f933,f353,f302,f404]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(resolution,[],[f358,f303]) ).

fof(f941,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_37 ),
    inference(resolution,[],[f358,f296]) ).

fof(f945,plain,
    ( ~ c2_1(a451)
    | c3_1(a451)
    | ~ spl0_37
    | spl0_79 ),
    inference(resolution,[],[f358,f559]) ).

fof(f946,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f941]) ).

fof(f947,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f940]) ).

fof(f950,definition,
    ( spl0_151
  <=> c3_1(a451) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f952,plain,
    ( spl0_151
    | ~ spl0_80
    | ~ spl0_37
    | spl0_79 ),
    inference(avatar_split_clause,[],[f945,f558,f357,f563,f950]) ).

fof(f958,plain,
    ( spl0_48
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f947,f357,f302,f404]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(resolution,[],[f366,f338]) ).

fof(f961,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(resolution,[],[f366,f296]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f961]) ).

fof(f968,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f959]) ).

fof(f970,plain,
    ( spl0_48
    | ~ spl0_22
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f966,f365,f295,f404]) ).

fof(f971,plain,
    ( spl0_34
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f968,f365,f337,f343]) ).

fof(f989,definition,
    ( spl0_154
  <=> c2_1(a416) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f993,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(resolution,[],[f384,f338]) ).

fof(f994,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(resolution,[],[f384,f303]) ).

fof(f1000,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f994]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f993]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(resolution,[],[f392,f374]) ).

fof(f1009,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1003]) ).

fof(f1011,definition,
    ( spl0_155
  <=> c0_1(a449) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1017,plain,
    ( spl0_52
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1009,f391,f373,f424]) ).

fof(f1029,plain,
    ( ~ c3_1(a451)
    | ~ c0_1(a451)
    | ~ spl0_35
    | spl0_79 ),
    inference(resolution,[],[f349,f559]) ).

fof(f1032,plain,
    ( ~ spl0_81
    | ~ spl0_151
    | ~ spl0_35
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1029,f558,f348,f950,f567]) ).

fof(f1038,plain,
    ( ~ c2_1(a427)
    | c0_1(a427)
    | ~ spl0_47
    | ~ spl0_108 ),
    inference(resolution,[],[f401,f694]) ).

fof(f1043,plain,
    ( c3_1(a430)
    | ~ spl0_22
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f662,f946]) ).

fof(f1046,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_37
    | spl0_100
    | ~ spl0_101 ),
    inference(resolution,[],[f1043,f657]) ).

fof(f1047,plain,
    ( ~ spl0_22
    | ~ spl0_37
    | spl0_100
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f1046]) ).

fof(f1054,plain,
    ( spl0_34
    | ~ spl0_24
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1000,f383,f302,f343]) ).

fof(f1055,plain,
    ( spl0_34
    | ~ spl0_33
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1001,f383,f337,f343]) ).

fof(f1057,plain,
    ( c3_1(a401)
    | ~ c0_1(a401)
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(resolution,[],[f858,f303]) ).

fof(f1061,plain,
    ( ~ spl0_144
    | spl0_142
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1057,f857,f302,f852,f861]) ).

fof(f1063,definition,
    ( spl0_156
  <=> c2_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1071,definition,
    ( spl0_157
  <=> c3_1(a426) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1076,plain,
    ( ~ c3_1(a426)
    | c2_1(a426)
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(resolution,[],[f708,f326]) ).

fof(f1078,plain,
    ( spl0_109
    | ~ spl0_157
    | ~ spl0_30
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1076,f707,f325,f1071,f698]) ).

fof(f1084,definition,
    ( spl0_158
  <=> c2_1(a434) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1091,plain,
    ( ~ c3_1(a426)
    | c2_1(a426)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f315,f704]) ).

fof(f1097,plain,
    ( spl0_109
    | ~ spl0_157
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1091,f703,f314,f1071,f698]) ).

fof(f1104,plain,
    ( ~ c3_1(a402)
    | c2_1(a402)
    | ~ spl0_41
    | spl0_140 ),
    inference(resolution,[],[f844,f374]) ).

fof(f1108,definition,
    ( spl0_159
  <=> c3_1(a402) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1110,plain,
    ( spl0_139
    | ~ spl0_159
    | ~ spl0_41
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1104,f843,f373,f1108,f838]) ).

fof(f1116,plain,
    ( ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(resolution,[],[f272,f498]) ).

fof(f1117,plain,
    ( ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(resolution,[],[f272,f483]) ).

fof(f1120,plain,
    ( ~ spl0_62
    | ~ spl0_61
    | ~ spl0_15
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1117,f482,f271,f473,f478]) ).

fof(f1121,plain,
    ( ~ spl0_64
    | ~ spl0_149
    | ~ spl0_15
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1116,f497,f271,f900,f488]) ).

fof(f1128,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(resolution,[],[f334,f374]) ).

fof(f1133,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1128]) ).

fof(f1136,plain,
    ( spl0_30
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1133,f373,f333,f325]) ).

fof(f1138,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(resolution,[],[f366,f334]) ).

fof(f1149,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1138]) ).

fof(f1153,plain,
    ( spl0_34
    | ~ spl0_32
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1149,f365,f333,f343]) ).

fof(f1157,plain,
    ( ~ c0_1(a439)
    | c3_1(a439)
    | ~ spl0_39
    | spl0_96 ),
    inference(resolution,[],[f638,f366]) ).

fof(f1161,definition,
    ( spl0_160
  <=> c0_1(a439) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1163,plain,
    ( spl0_94
    | ~ spl0_160
    | ~ spl0_39
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1157,f637,f365,f1161,f628]) ).

fof(f1164,plain,
    ( ~ c0_1(a410)
    | c3_1(a410)
    | ~ spl0_39
    | spl0_125 ),
    inference(resolution,[],[f774,f366]) ).

fof(f1165,plain,
    ( ~ c2_1(a410)
    | c3_1(a410)
    | ~ spl0_37
    | spl0_125 ),
    inference(resolution,[],[f774,f358]) ).

fof(f1168,plain,
    ( spl0_124
    | ~ spl0_126
    | ~ spl0_39
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1164,f773,f365,f777,f768]) ).

fof(f1171,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(resolution,[],[f286,f366]) ).

fof(f1172,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(resolution,[],[f286,f358]) ).

fof(f1177,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1172]) ).

fof(f1178,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1171]) ).

fof(f1187,plain,
    ( ~ c3_1(a416)
    | ~ c2_1(a416)
    | ~ spl0_42
    | spl0_118 ),
    inference(resolution,[],[f379,f741]) ).

fof(f1191,plain,
    ( ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_42
    | spl0_79 ),
    inference(resolution,[],[f379,f559]) ).

fof(f1195,plain,
    ( ~ spl0_80
    | ~ spl0_151
    | ~ spl0_42
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1191,f558,f378,f950,f563]) ).

fof(f1197,plain,
    ( ~ spl0_154
    | ~ spl0_120
    | ~ spl0_42
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1187,f740,f378,f749,f989]) ).

fof(f1211,plain,
    ( ~ c3_1(a404)
    | c2_1(a404)
    | ~ spl0_30
    | ~ spl0_135 ),
    inference(resolution,[],[f326,f820]) ).

fof(f1237,plain,
    ( c2_1(a402)
    | c3_1(a402)
    | ~ spl0_34
    | ~ spl0_141 ),
    inference(resolution,[],[f344,f848]) ).

fof(f1241,plain,
    ( c2_1(a440)
    | c3_1(a440)
    | ~ spl0_34
    | ~ spl0_93 ),
    inference(resolution,[],[f344,f624]) ).

fof(f1242,plain,
    ( spl0_91
    | spl0_92
    | ~ spl0_34
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1241,f623,f343,f619,f614]) ).

fof(f1244,definition,
    ( spl0_161
  <=> c2_1(a410) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1247,plain,
    ( spl0_159
    | spl0_139
    | ~ spl0_34
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1237,f847,f343,f838,f1108]) ).

fof(f1268,plain,
    ( ~ c3_1(a416)
    | c2_1(a416)
    | ~ spl0_52
    | spl0_119 ),
    inference(resolution,[],[f425,f746]) ).

fof(f1287,plain,
    ( c0_1(a434)
    | c2_1(a434)
    | ~ spl0_54
    | ~ spl0_99 ),
    inference(resolution,[],[f435,f652]) ).

fof(f1288,plain,
    ( c0_1(a460)
    | c2_1(a460)
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(resolution,[],[f435,f554]) ).

fof(f1290,plain,
    ( spl0_77
    | spl0_148
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1288,f553,f434,f883,f549]) ).

fof(f1291,plain,
    ( spl0_158
    | spl0_98
    | ~ spl0_54
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1287,f651,f434,f647,f1084]) ).

fof(f1296,plain,
    ( spl0_48
    | ~ spl0_19
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1177,f357,f285,f404]) ).

fof(f1297,plain,
    ( spl0_48
    | ~ spl0_19
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1178,f365,f285,f404]) ).

fof(f1303,definition,
    ( spl0_162
  <=> c2_1(a405) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1312,plain,
    ( ~ c3_1(a405)
    | ~ c2_1(a405)
    | ~ spl0_15
    | ~ spl0_72 ),
    inference(resolution,[],[f526,f272]) ).

fof(f1313,plain,
    ( ~ spl0_162
    | ~ spl0_70
    | ~ spl0_15
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1312,f525,f271,f516,f1303]) ).

fof(f1315,plain,
    ( ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(resolution,[],[f568,f272]) ).

fof(f1316,plain,
    ( ~ spl0_80
    | ~ spl0_151
    | ~ spl0_15
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1315,f567,f271,f950,f563]) ).

fof(f1319,plain,
    ( ~ c3_1(a449)
    | c0_1(a449)
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(resolution,[],[f596,f392]) ).

fof(f1320,plain,
    ( c0_1(a449)
    | c2_1(a449)
    | ~ spl0_54
    | ~ spl0_87 ),
    inference(resolution,[],[f596,f435]) ).

fof(f1321,plain,
    ( spl0_85
    | spl0_155
    | ~ spl0_54
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1320,f595,f434,f1011,f586]) ).

fof(f1326,plain,
    ( c0_1(a418)
    | c2_1(a418)
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(resolution,[],[f736,f435]) ).

fof(f1329,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1326,f735,f434,f731,f726]) ).

fof(f1340,plain,
    ( spl0_133
    | ~ spl0_134
    | ~ spl0_30
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1211,f819,f325,f815,f810]) ).

fof(f1359,plain,
    ( ~ c3_1(a402)
    | c2_1(a402)
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(resolution,[],[f326,f848]) ).

fof(f1363,plain,
    ( spl0_139
    | ~ spl0_159
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1359,f847,f325,f1108,f838]) ).

fof(f1368,plain,
    ( spl0_155
    | ~ spl0_86
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1319,f595,f391,f591,f1011]) ).

fof(f1378,plain,
    ( c3_1(a460)
    | ~ c0_1(a460)
    | ~ spl0_24
    | ~ spl0_78 ),
    inference(resolution,[],[f554,f303]) ).

fof(f1382,plain,
    ( c3_1(a426)
    | ~ c0_1(a426)
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(resolution,[],[f704,f303]) ).

fof(f1383,plain,
    ( ~ spl0_111
    | spl0_157
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1382,f703,f302,f1071,f707]) ).

fof(f1384,plain,
    ( c2_1(a426)
    | c3_1(a426)
    | ~ spl0_34
    | ~ spl0_111 ),
    inference(resolution,[],[f708,f344]) ).

fof(f1385,plain,
    ( spl0_157
    | spl0_109
    | ~ spl0_34
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1384,f707,f343,f698,f1071]) ).

fof(f1388,definition,
    ( spl0_164
  <=> c0_1(a415) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1392,plain,
    ( ~ c0_1(a402)
    | c3_1(a402)
    | ~ spl0_39
    | spl0_140 ),
    inference(resolution,[],[f844,f366]) ).

fof(f1393,plain,
    ( spl0_159
    | ~ spl0_141
    | ~ spl0_39
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1392,f843,f365,f847,f1108]) ).

fof(f1411,plain,
    ( ~ c2_1(a415)
    | ~ c0_1(a415)
    | ~ spl0_36
    | spl0_121 ),
    inference(resolution,[],[f354,f755]) ).

fof(f1418,plain,
    ( ~ spl0_164
    | ~ spl0_123
    | ~ spl0_36
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1411,f754,f353,f763,f1388]) ).

fof(f1432,definition,
    ( spl0_165
  <=> c2_1(a445) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1444,plain,
    ( ~ c3_1(a445)
    | c0_1(a445)
    | ~ spl0_45
    | ~ spl0_90 ),
    inference(resolution,[],[f392,f610]) ).

fof(f1449,plain,
    ( spl0_88
    | ~ spl0_89
    | ~ spl0_45
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1444,f609,f391,f605,f600]) ).

fof(f1504,definition,
    ( spl0_166
  <=> c3_1(a428) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1518,plain,
    ( ~ c2_1(a451)
    | c3_1(a451)
    | ~ spl0_48
    | ~ spl0_81 ),
    inference(resolution,[],[f568,f405]) ).

fof(f1520,plain,
    ( spl0_151
    | ~ spl0_80
    | ~ spl0_48
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1518,f567,f404,f563,f950]) ).

fof(f1521,plain,
    ( ~ c2_1(a430)
    | c3_1(a430)
    | ~ spl0_48
    | ~ spl0_102 ),
    inference(resolution,[],[f666,f405]) ).

fof(f1524,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_48
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1521,f665,f404,f661,f656]) ).

fof(f1526,plain,
    ( spl0_106
    | ~ spl0_107
    | ~ spl0_47
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1038,f693,f400,f689,f684]) ).

fof(f1532,plain,
    ( ~ c3_1(a427)
    | c0_1(a427)
    | ~ spl0_45
    | ~ spl0_108 ),
    inference(resolution,[],[f694,f392]) ).

fof(f1533,plain,
    ( spl0_106
    | ~ spl0_150
    | ~ spl0_45
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1532,f693,f391,f921,f684]) ).

fof(f1554,plain,
    ( ~ c2_1(a434)
    | c0_1(a434)
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(resolution,[],[f401,f652]) ).

fof(f1562,plain,
    ( spl0_98
    | ~ spl0_158
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1554,f651,f400,f1084,f647]) ).

fof(f1567,plain,
    ( ~ c2_1(a409)
    | c3_1(a409)
    | ~ spl0_50
    | spl0_128 ),
    inference(resolution,[],[f413,f788]) ).

fof(f1570,plain,
    ( ~ c2_1(a427)
    | c3_1(a427)
    | ~ spl0_50
    | spl0_106 ),
    inference(resolution,[],[f413,f685]) ).

fof(f1572,plain,
    ( ~ c2_1(a434)
    | c3_1(a434)
    | ~ spl0_50
    | spl0_98 ),
    inference(resolution,[],[f413,f648]) ).

fof(f1602,plain,
    ( c3_1(a403)
    | c2_1(a403)
    | ~ spl0_55
    | spl0_138 ),
    inference(resolution,[],[f441,f834]) ).

fof(f1607,plain,
    ( c3_1(a434)
    | c2_1(a434)
    | ~ spl0_55
    | spl0_98 ),
    inference(resolution,[],[f441,f648]) ).

fof(f1609,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ spl0_55
    | spl0_148 ),
    inference(resolution,[],[f441,f884]) ).

fof(f1614,plain,
    ( spl0_77
    | spl0_76
    | ~ spl0_55
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1609,f883,f440,f544,f549]) ).

fof(f1617,plain,
    ( spl0_158
    | spl0_97
    | ~ spl0_55
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1607,f647,f440,f642,f1084]) ).

fof(f1625,plain,
    ( spl0_137
    | spl0_136
    | ~ spl0_55
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1602,f833,f440,f824,f829]) ).

fof(f1627,plain,
    ( ~ c2_1(a400)
    | ~ c0_1(a400)
    | ~ spl0_19
    | ~ spl0_147 ),
    inference(resolution,[],[f876,f286]) ).

fof(f1630,plain,
    ( ~ c2_1(a400)
    | c0_1(a400)
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(resolution,[],[f876,f401]) ).

fof(f1632,definition,
    ( spl0_167
  <=> c0_1(a400) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1635,plain,
    ( spl0_167
    | ~ spl0_146
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1630,f875,f400,f871,f1632]) ).

fof(f1639,plain,
    ( ~ spl0_167
    | ~ spl0_146
    | ~ spl0_19
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1627,f875,f285,f871,f1632]) ).

fof(f1647,plain,
    ( c3_1(a412)
    | ~ c0_1(a412)
    | ~ spl0_24
    | ~ spl0_65 ),
    inference(resolution,[],[f494,f303]) ).

fof(f1652,plain,
    ( ~ spl0_66
    | spl0_149
    | ~ spl0_24
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1647,f493,f302,f900,f497]) ).

fof(f1668,plain,
    ( c2_1(a426)
    | ~ c0_1(a426)
    | ~ spl0_32
    | ~ spl0_110 ),
    inference(resolution,[],[f334,f704]) ).

fof(f1672,plain,
    ( c2_1(a449)
    | ~ c0_1(a449)
    | ~ spl0_32
    | ~ spl0_87 ),
    inference(resolution,[],[f334,f596]) ).

fof(f1674,plain,
    ( c2_1(a405)
    | ~ c0_1(a405)
    | ~ spl0_32
    | ~ spl0_71 ),
    inference(resolution,[],[f334,f522]) ).

fof(f1678,plain,
    ( ~ spl0_72
    | spl0_162
    | ~ spl0_32
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1674,f521,f333,f1303,f525]) ).

fof(f1680,plain,
    ( ~ spl0_155
    | spl0_85
    | ~ spl0_32
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1672,f595,f333,f586,f1011]) ).

fof(f1683,plain,
    ( ~ spl0_111
    | spl0_109
    | ~ spl0_32
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1668,f703,f333,f698,f707]) ).

fof(f1697,plain,
    ( ~ c3_1(a445)
    | ~ c2_1(a445)
    | ~ spl0_44
    | spl0_88 ),
    inference(resolution,[],[f601,f388]) ).

fof(f1698,plain,
    ( ~ spl0_165
    | ~ spl0_89
    | ~ spl0_44
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1697,f600,f387,f605,f1432]) ).

fof(f1700,plain,
    ( ~ c3_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_44
    | spl0_104 ),
    inference(resolution,[],[f676,f388]) ).

fof(f1701,plain,
    ( ~ spl0_105
    | ~ spl0_166
    | ~ spl0_44
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1700,f675,f387,f1504,f679]) ).

fof(f1710,plain,
    ( c2_1(a460)
    | c3_1(a460)
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(resolution,[],[f338,f554]) ).

fof(f1714,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1710,f553,f337,f549,f544]) ).

fof(f1725,plain,
    ( ~ spl0_148
    | spl0_76
    | ~ spl0_24
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1378,f553,f302,f544,f883]) ).

fof(f1728,plain,
    ( ~ c3_1(a402)
    | ~ c0_1(a402)
    | ~ spl0_35
    | spl0_140 ),
    inference(resolution,[],[f349,f844]) ).

fof(f1729,plain,
    ( ~ c3_1(a415)
    | ~ c0_1(a415)
    | ~ spl0_35
    | spl0_121 ),
    inference(resolution,[],[f349,f755]) ).

fof(f1735,plain,
    ( ~ spl0_164
    | ~ spl0_122
    | ~ spl0_35
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1729,f754,f348,f759,f1388]) ).

fof(f1736,plain,
    ( ~ spl0_141
    | ~ spl0_159
    | ~ spl0_35
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1728,f843,f348,f1108,f847]) ).

fof(f1740,plain,
    ( ~ c3_1(a415)
    | ~ c2_1(a415)
    | ~ spl0_42
    | spl0_121 ),
    inference(resolution,[],[f379,f755]) ).

fof(f1742,plain,
    ( ~ c3_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_42
    | spl0_103 ),
    inference(resolution,[],[f379,f671]) ).

fof(f1746,plain,
    ( ~ spl0_123
    | ~ spl0_122
    | ~ spl0_42
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1740,f754,f378,f759,f763]) ).

fof(f1749,plain,
    ( ~ c0_1(a402)
    | c2_1(a402)
    | ~ spl0_43
    | spl0_140 ),
    inference(resolution,[],[f384,f844]) ).

fof(f1758,plain,
    ( spl0_139
    | ~ spl0_141
    | ~ spl0_43
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1749,f843,f383,f847,f838]) ).

fof(f1777,plain,
    ( ~ c3_1(a445)
    | c2_1(a445)
    | ~ spl0_52
    | spl0_88 ),
    inference(resolution,[],[f425,f601]) ).

fof(f1788,plain,
    ( ~ c3_1(a415)
    | c0_1(a415)
    | ~ spl0_56
    | spl0_121 ),
    inference(resolution,[],[f445,f755]) ).

fof(f1796,plain,
    ( spl0_164
    | ~ spl0_122
    | ~ spl0_56
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1788,f754,f444,f759,f1388]) ).

fof(f1811,plain,
    ( ~ c2_1(a415)
    | c0_1(a415)
    | ~ spl0_58
    | spl0_121 ),
    inference(resolution,[],[f455,f755]) ).

fof(f1813,plain,
    ( ~ c2_1(a428)
    | c0_1(a428)
    | ~ spl0_58
    | spl0_103 ),
    inference(resolution,[],[f455,f671]) ).

fof(f1817,plain,
    ( spl0_164
    | ~ spl0_123
    | ~ spl0_58
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1811,f754,f454,f763,f1388]) ).

fof(f1825,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(resolution,[],[f463,f338]) ).

fof(f1830,plain,
    ( c3_1(a439)
    | c0_1(a439)
    | ~ spl0_59
    | spl0_96 ),
    inference(resolution,[],[f463,f638]) ).

fof(f1832,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1837,plain,
    ( spl0_160
    | spl0_94
    | ~ spl0_59
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1830,f637,f462,f628,f1161]) ).

fof(f1842,plain,
    ( spl0_55
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1832,f462,f337,f440]) ).

fof(f1853,plain,
    ( ~ c3_1(a416)
    | ~ c2_1(a416)
    | ~ spl0_44
    | spl0_119 ),
    inference(resolution,[],[f746,f388]) ).

fof(f1854,plain,
    ( ~ spl0_154
    | ~ spl0_120
    | ~ spl0_44
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1853,f745,f387,f749,f989]) ).

fof(f1858,plain,
    ( ~ c3_1(a416)
    | c0_1(a416)
    | ~ spl0_56
    | spl0_118 ),
    inference(resolution,[],[f445,f741]) ).

fof(f1865,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_56
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1858,f740,f444,f749,f745]) ).

fof(f1867,plain,
    ( spl0_124
    | ~ spl0_161
    | ~ spl0_37
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1165,f773,f357,f1244,f768]) ).

fof(f1869,plain,
    ( ~ spl0_105
    | ~ spl0_166
    | ~ spl0_42
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1742,f670,f378,f1504,f679]) ).

fof(f1873,plain,
    ( spl0_127
    | ~ spl0_129
    | ~ spl0_50
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1567,f787,f412,f791,f782]) ).

fof(f1874,plain,
    ( spl0_150
    | ~ spl0_107
    | ~ spl0_50
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1570,f684,f412,f689,f921]) ).

fof(f1876,plain,
    ( spl0_97
    | ~ spl0_158
    | ~ spl0_50
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1572,f647,f412,f1084,f642]) ).

fof(f1878,plain,
    ( spl0_104
    | ~ spl0_105
    | ~ spl0_58
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1813,f670,f454,f679,f675]) ).

fof(f1889,plain,
    ( spl0_154
    | ~ spl0_120
    | ~ spl0_52
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1268,f745,f424,f749,f989]) ).

fof(f1893,plain,
    ( spl0_165
    | ~ spl0_89
    | ~ spl0_52
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1777,f600,f424,f605,f1432]) ).

fof(f1894,plain,
    ( c2_1(a410)
    | c3_1(a410)
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(resolution,[],[f778,f344]) ).

fof(f1895,plain,
    ( spl0_124
    | spl0_161
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1894,f777,f343,f1244,f768]) ).

fof(f1901,plain,
    ( c2_1(a401)
    | c3_1(a401)
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(resolution,[],[f338,f858]) ).

fof(f1904,plain,
    ( c2_1(a434)
    | c3_1(a434)
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(resolution,[],[f338,f652]) ).

fof(f1911,plain,
    ( spl0_97
    | spl0_158
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1904,f651,f337,f1084,f642]) ).

fof(f1912,plain,
    ( spl0_142
    | spl0_156
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1901,f857,f337,f1063,f852]) ).

fof(f1916,plain,
    ( ~ c2_1(a428)
    | c3_1(a428)
    | ~ spl0_37
    | spl0_103 ),
    inference(resolution,[],[f358,f671]) ).

fof(f1920,plain,
    ( spl0_166
    | ~ spl0_105
    | ~ spl0_37
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1916,f670,f357,f679,f1504]) ).

fof(f1922,plain,
    ( ~ c3_1(a416)
    | c2_1(a416)
    | ~ spl0_41
    | spl0_118 ),
    inference(resolution,[],[f374,f741]) ).

fof(f1928,plain,
    ( spl0_154
    | ~ spl0_120
    | ~ spl0_41
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1922,f740,f373,f749,f989]) ).

fof(f1929,plain,
    ( ~ c2_1(a401)
    | c3_1(a401)
    | ~ spl0_48
    | ~ spl0_144 ),
    inference(resolution,[],[f405,f862]) ).

fof(f1931,plain,
    ( ~ c2_1(a410)
    | c3_1(a410)
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(resolution,[],[f405,f778]) ).

fof(f1937,plain,
    ( spl0_124
    | ~ spl0_161
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1931,f777,f404,f1244,f768]) ).

fof(f1938,plain,
    ( spl0_142
    | ~ spl0_156
    | ~ spl0_48
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1929,f861,f404,f1063,f852]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f243]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s5,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s8,plain,
    ( ~ spl0_14
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f297]) ).

cnf(s10,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_24 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s12,plain,
    ( ~ spl0_14
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f316]) ).

cnf(s14,plain,
    ( spl0_7
    | ~ spl0_14
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s15,plain,
    ( spl0_12
    | ~ spl0_14
    | spl0_21
    | spl0_30 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s16,plain,
    ( spl0_4
    | ~ spl0_14
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s17,plain,
    ( spl0_7
    | ~ spl0_14
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s19,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_15
    | spl0_33 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s21,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_27
    | spl0_34 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s23,plain,
    ( spl0_2
    | spl0_13
    | ~ spl0_14
    | spl0_35 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s24,plain,
    ( spl0_2
    | ~ spl0_14
    | spl0_15
    | spl0_36 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s25,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_18
    | spl0_37 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s26,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_37 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s27,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s29,plain,
    ( spl0_2
    | spl0_6
    | ~ spl0_14
    | spl0_41 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s30,plain,
    ( spl0_1
    | ~ spl0_14
    | spl0_26
    | spl0_41 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s31,plain,
    ( ~ spl0_14
    | spl0_34
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s33,plain,
    ( ~ spl0_14
    | spl0_19
    | spl0_32
    | spl0_43 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s37,plain,
    ( ~ spl0_14
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s38,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s39,plain,
    ( ~ spl0_14
    | spl0_42
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s40,plain,
    ( ~ spl0_14
    | spl0_38
    | spl0_39
    | spl0_47 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s41,plain,
    ( ~ spl0_14
    | spl0_27
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s43,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_37
    | spl0_50 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s44,plain,
    ( spl0_12
    | ~ spl0_14
    | spl0_43
    | spl0_50 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s45,plain,
    ( ~ spl0_14
    | spl0_38
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s49,plain,
    ( ~ spl0_14
    | spl0_20
    | spl0_27
    | spl0_52 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s51,plain,
    ( spl0_3
    | spl0_12
    | ~ spl0_14
    | spl0_54 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s52,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_41
    | spl0_54 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s54,plain,
    ( ~ spl0_14
    | spl0_31
    | spl0_53
    | spl0_55 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s55,plain,
    ( spl0_13
    | ~ spl0_14
    | spl0_24
    | spl0_56 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s56,plain,
    ( spl0_7
    | ~ spl0_14
    | spl0_33
    | spl0_56 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s58,plain,
    ( ~ spl0_14
    | spl0_41
    | spl0_50
    | spl0_56 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s60,plain,
    ( spl0_2
    | spl0_11
    | ~ spl0_14
    | spl0_58 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s63,plain,
    ( ~ spl0_14
    | spl0_33
    | spl0_55
    | spl0_58 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s65,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_56
    | spl0_59 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s69,plain,
    ( ~ spl0_28
    | spl0_61 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s70,plain,
    ( ~ spl0_28
    | spl0_62 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s71,plain,
    ( ~ spl0_28
    | spl0_63 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s73,plain,
    ( ~ spl0_31
    | spl0_64 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s74,plain,
    ( ~ spl0_31
    | spl0_65 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s75,plain,
    ( ~ spl0_31
    | spl0_66 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s81,plain,
    ( ~ spl0_11
    | spl0_70 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s82,plain,
    ( ~ spl0_11
    | spl0_71 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s83,plain,
    ( ~ spl0_11
    | spl0_72 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s89,plain,
    ( ~ spl0_4
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s90,plain,
    ( ~ spl0_4
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s91,plain,
    ( ~ spl0_4
    | spl0_78 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s93,plain,
    ( ~ spl0_17
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s94,plain,
    ( ~ spl0_17
    | spl0_80 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s95,plain,
    ( ~ spl0_17
    | spl0_81 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s101,plain,
    ( ~ spl0_5
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s102,plain,
    ( ~ spl0_5
    | spl0_86 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s103,plain,
    ( ~ spl0_5
    | spl0_87 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s105,plain,
    ( ~ spl0_18
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s106,plain,
    ( ~ spl0_18
    | spl0_89 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s107,plain,
    ( ~ spl0_18
    | spl0_90 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s109,plain,
    ( ~ spl0_6
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s110,plain,
    ( ~ spl0_6
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s111,plain,
    ( ~ spl0_6
    | spl0_93 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s113,plain,
    ( ~ spl0_1
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s115,plain,
    ( ~ spl0_1
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s116,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s117,plain,
    ( ~ spl0_29
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s118,plain,
    ( ~ spl0_29
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s119,plain,
    ( ~ spl0_29
    | spl0_99 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s121,plain,
    ( ~ spl0_8
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s122,plain,
    ( ~ spl0_8
    | spl0_101 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s123,plain,
    ( ~ spl0_8
    | spl0_102 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s125,plain,
    ( ~ spl0_49
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s126,plain,
    ( ~ spl0_49
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s127,plain,
    ( ~ spl0_49
    | spl0_105 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s129,plain,
    ( ~ spl0_25
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s130,plain,
    ( ~ spl0_25
    | spl0_107 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s131,plain,
    ( ~ spl0_25
    | spl0_108 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s133,plain,
    ( ~ spl0_21
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s134,plain,
    ( ~ spl0_21
    | spl0_110 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s135,plain,
    ( ~ spl0_21
    | spl0_111 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s141,plain,
    ( ~ spl0_20
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s142,plain,
    ( ~ spl0_20
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s143,plain,
    ( ~ spl0_20
    | spl0_117 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s145,plain,
    ( ~ spl0_12
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s146,plain,
    ( ~ spl0_12
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s147,plain,
    ( ~ spl0_12
    | spl0_120 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s149,plain,
    ( ~ spl0_3
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s150,plain,
    ( ~ spl0_3
    | spl0_122 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s151,plain,
    ( ~ spl0_3
    | spl0_123 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s152,plain,
    ( ~ spl0_3
    | spl0_14 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s153,plain,
    ( ~ spl0_7
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s154,plain,
    ( ~ spl0_7
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s155,plain,
    ( ~ spl0_7
    | spl0_126 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s157,plain,
    ( ~ spl0_46
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s158,plain,
    ( ~ spl0_46
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s159,plain,
    ( ~ spl0_46
    | spl0_129 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s165,plain,
    ( ~ spl0_13
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s166,plain,
    ( ~ spl0_13
    | spl0_134 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s167,plain,
    ( ~ spl0_13
    | spl0_135 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s169,plain,
    ( ~ spl0_2
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s170,plain,
    ( ~ spl0_2
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s171,plain,
    ( ~ spl0_2
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s172,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_141 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s177,plain,
    ( ~ spl0_38
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s178,plain,
    ( ~ spl0_38
    | spl0_143 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s179,plain,
    ( ~ spl0_38
    | spl0_144 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s182,plain,
    ( ~ spl0_53
    | spl0_146 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s183,plain,
    ( ~ spl0_53
    | spl0_147 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s187,plain,
    ( ~ spl0_19
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s191,plain,
    ( ~ spl0_27
    | spl0_85
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s193,plain,
    ( ~ spl0_36
    | spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s195,plain,
    ( ~ spl0_24
    | ~ spl0_36
    | spl0_48 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s196,plain,
    ( ~ spl0_37
    | spl0_79
    | ~ spl0_80
    | spl0_151 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s198,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | spl0_48 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s200,plain,
    ( ~ spl0_22
    | ~ spl0_39
    | spl0_48 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s201,plain,
    ( ~ spl0_33
    | spl0_34
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s206,plain,
    ( ~ spl0_41
    | ~ spl0_45
    | spl0_52 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s207,plain,
    ( ~ spl0_35
    | spl0_79
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1032]) ).

cnf(s209,plain,
    ( ~ spl0_22
    | ~ spl0_37
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1047]) ).

cnf(s212,plain,
    ( ~ spl0_24
    | spl0_34
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s213,plain,
    ( ~ spl0_33
    | spl0_34
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s214,plain,
    ( ~ spl0_24
    | spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s218,plain,
    ( ~ spl0_30
    | spl0_109
    | ~ spl0_111
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s220,plain,
    ( ~ spl0_27
    | spl0_109
    | ~ spl0_110
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s228,plain,
    ( ~ spl0_41
    | spl0_139
    | spl0_140
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s229,plain,
    ( ~ spl0_15
    | ~ spl0_61
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s230,plain,
    ( ~ spl0_15
    | ~ spl0_64
    | ~ spl0_66
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s237,plain,
    ( spl0_30
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s240,plain,
    ( ~ spl0_32
    | spl0_34
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s241,plain,
    ( ~ spl0_39
    | spl0_94
    | spl0_96
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s242,plain,
    ( ~ spl0_39
    | spl0_124
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s245,plain,
    ( ~ spl0_42
    | spl0_79
    | ~ spl0_80
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s246,plain,
    ( ~ spl0_42
    | spl0_118
    | ~ spl0_120
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s259,plain,
    ( ~ spl0_34
    | spl0_91
    | spl0_92
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s261,plain,
    ( ~ spl0_34
    | spl0_139
    | ~ spl0_141
    | spl0_159 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s267,plain,
    ( ~ spl0_54
    | spl0_77
    | ~ spl0_78
    | spl0_148 ),
    inference(sat_conversion,[],[f1290]) ).

cnf(s268,plain,
    ( ~ spl0_54
    | spl0_98
    | ~ spl0_99
    | spl0_158 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s273,plain,
    ( ~ spl0_19
    | ~ spl0_37
    | spl0_48 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s274,plain,
    ( ~ spl0_19
    | ~ spl0_39
    | spl0_48 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s278,plain,
    ( ~ spl0_15
    | ~ spl0_70
    | ~ spl0_72
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s279,plain,
    ( ~ spl0_15
    | ~ spl0_80
    | ~ spl0_81
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s280,plain,
    ( ~ spl0_54
    | spl0_85
    | ~ spl0_87
    | spl0_155 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s282,plain,
    ( ~ spl0_54
    | spl0_115
    | spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s292,plain,
    ( ~ spl0_30
    | spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s304,plain,
    ( ~ spl0_30
    | spl0_139
    | ~ spl0_141
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1363]) ).

cnf(s309,plain,
    ( ~ spl0_45
    | ~ spl0_86
    | ~ spl0_87
    | spl0_155 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s317,plain,
    ( ~ spl0_24
    | ~ spl0_110
    | ~ spl0_111
    | spl0_157 ),
    inference(sat_conversion,[],[f1383]) ).

cnf(s318,plain,
    ( ~ spl0_34
    | spl0_109
    | ~ spl0_111
    | spl0_157 ),
    inference(sat_conversion,[],[f1385]) ).

cnf(s320,plain,
    ( ~ spl0_39
    | spl0_140
    | ~ spl0_141
    | spl0_159 ),
    inference(sat_conversion,[],[f1393]) ).

cnf(s324,plain,
    ( ~ spl0_36
    | spl0_121
    | ~ spl0_123
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s329,plain,
    ( ~ spl0_45
    | spl0_88
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s356,plain,
    ( ~ spl0_48
    | ~ spl0_80
    | ~ spl0_81
    | spl0_151 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s357,plain,
    ( ~ spl0_48
    | spl0_100
    | ~ spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s359,plain,
    ( ~ spl0_47
    | spl0_106
    | ~ spl0_107
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s363,plain,
    ( ~ spl0_45
    | spl0_106
    | ~ spl0_108
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1533]) ).

cnf(s367,plain,
    ( ~ spl0_47
    | spl0_98
    | ~ spl0_99
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1562]) ).

cnf(s377,plain,
    ( ~ spl0_55
    | spl0_76
    | spl0_77
    | spl0_148 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s379,plain,
    ( ~ spl0_55
    | spl0_97
    | spl0_98
    | spl0_158 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s384,plain,
    ( ~ spl0_55
    | spl0_136
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s386,plain,
    ( ~ spl0_47
    | ~ spl0_146
    | ~ spl0_147
    | spl0_167 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s388,plain,
    ( ~ spl0_19
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s398,plain,
    ( ~ spl0_24
    | ~ spl0_65
    | ~ spl0_66
    | spl0_149 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s402,plain,
    ( ~ spl0_32
    | ~ spl0_71
    | ~ spl0_72
    | spl0_162 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s403,plain,
    ( ~ spl0_32
    | spl0_85
    | ~ spl0_87
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s405,plain,
    ( ~ spl0_32
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s419,plain,
    ( ~ spl0_44
    | spl0_88
    | ~ spl0_89
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s420,plain,
    ( ~ spl0_44
    | spl0_104
    | ~ spl0_105
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s421,plain,
    ( ~ spl0_33
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s432,plain,
    ( ~ spl0_24
    | spl0_76
    | ~ spl0_78
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s433,plain,
    ( ~ spl0_35
    | spl0_121
    | ~ spl0_122
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s434,plain,
    ( ~ spl0_35
    | spl0_140
    | ~ spl0_141
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s436,plain,
    ( ~ spl0_42
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s438,plain,
    ( ~ spl0_43
    | spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s442,plain,
    ( ~ spl0_56
    | spl0_121
    | ~ spl0_122
    | spl0_164 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s444,plain,
    ( ~ spl0_58
    | spl0_121
    | ~ spl0_123
    | spl0_164 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s447,plain,
    ( ~ spl0_59
    | spl0_94
    | spl0_96
    | spl0_160 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s451,plain,
    ( ~ spl0_33
    | spl0_55
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s459,plain,
    ( ~ spl0_44
    | spl0_119
    | ~ spl0_120
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s461,plain,
    ( ~ spl0_56
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s462,plain,
    ( ~ spl0_37
    | spl0_124
    | spl0_125
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1867]) ).

cnf(s464,plain,
    ( ~ spl0_42
    | spl0_103
    | ~ spl0_105
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s468,plain,
    ( ~ spl0_50
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s469,plain,
    ( ~ spl0_50
    | spl0_106
    | ~ spl0_107
    | spl0_150 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s471,plain,
    ( ~ spl0_50
    | spl0_97
    | spl0_98
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s473,plain,
    ( ~ spl0_58
    | spl0_103
    | spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s484,plain,
    ( ~ spl0_52
    | spl0_119
    | ~ spl0_120
    | spl0_154 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s488,plain,
    ( ~ spl0_52
    | spl0_88
    | ~ spl0_89
    | spl0_165 ),
    inference(sat_conversion,[],[f1893]) ).

cnf(s489,plain,
    ( ~ spl0_34
    | spl0_124
    | ~ spl0_126
    | spl0_161 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s491,plain,
    ( ~ spl0_33
    | spl0_97
    | ~ spl0_99
    | spl0_158 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s492,plain,
    ( ~ spl0_33
    | spl0_142
    | ~ spl0_143
    | spl0_156 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s493,plain,
    ( ~ spl0_37
    | spl0_103
    | ~ spl0_105
    | spl0_166 ),
    inference(sat_conversion,[],[f1920]) ).

cnf(s494,plain,
    ( ~ spl0_41
    | spl0_118
    | ~ spl0_120
    | spl0_154 ),
    inference(sat_conversion,[],[f1928]) ).

cnf(s495,plain,
    ( ~ spl0_48
    | spl0_124
    | ~ spl0_126
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s496,plain,
    ( ~ spl0_48
    | spl0_142
    | ~ spl0_144
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1938]) ).

cnf(s497,plain,
    ( spl0_32
    | spl0_43
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s187,s73,s74,s75,s33,s16]) ).

cnf(s498,plain,
    ( ~ spl0_11
    | ~ spl0_15
    | ~ spl0_32 ),
    inference(rat,[],[s278,s402,s81,s82,s83]) ).

cnf(s499,plain,
    ( ~ spl0_13
    | ~ spl0_30 ),
    inference(rat,[],[s292,s165,s166,s167]) ).

cnf(s500,plain,
    ( ~ spl0_8
    | ~ spl0_48 ),
    inference(rat,[],[s357,s121,s122,s123]) ).

cnf(s503,plain,
    ( ~ spl0_38
    | ~ spl0_24 ),
    inference(rat,[],[s214,s177,s178,s179]) ).

cnf(s504,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_14 ),
    inference(rat,[],[s405,s133,s134,s135,s27,s503,s240,s497,s212,s259,s109,s110,s111,s2,s10]) ).

cnf(s505,plain,
    ( ~ spl0_32
    | ~ spl0_24
    | ~ spl0_5
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s405,s133,s134,s135,s27,s242,s153,s154,s155,s3,s500,s195,s24,s498,s60,s444,s433,s37,s309,s403,s103,s102,s101,s503]) ).

cnf(s506,plain,
    ( ~ spl0_24
    | spl0_4
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s489,s495,s153,s155,s3,s500,s195,s24,s230,s398,s212,s73,s74,s75,s497,s16,s505,s504]) ).

cnf(s507,plain,
    ( ~ spl0_32
    | spl0_24
    | spl0_85
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s261,s434,s173,s174,s175,s31,s30,s237,s499,s55,s442,s433,s37,s309,s403,s152,s436,s149,s150,s151]) ).

cnf(s508,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s279,s24,s196,s193,s93,s94,s95]) ).

cnf(s509,plain,
    ( ~ spl0_48
    | ~ spl0_34
    | spl0_2 ),
    inference(rat,[],[s489,s495,s153,s155,s3,s500]) ).

cnf(s510,plain,
    ( ~ spl0_26
    | ~ spl0_43 ),
    inference(rat,[],[s438,s173,s174,s175]) ).

cnf(s511,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s359,s129,s130,s131,s12,s510,s39,s509,s21,s508,s497,s507,s26,s506,s191,s101,s102,s103,s504,s152,s436,s149,s150,s151,s1]) ).

cnf(s512,plain,
    ( ~ spl0_48
    | spl0_34
    | ~ spl0_15
    | ~ spl0_24
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s279,s356,s94,s95,s21,s220,s317,s133,s134,s135,s27,s242,s153,s154,s155,s3,s500,s503]) ).

cnf(s513,plain,
    ( ~ spl0_25
    | ~ spl0_47 ),
    inference(rat,[],[s359,s129,s130,s131]) ).

cnf(s514,plain,
    ( ~ spl0_31
    | ~ spl0_19 ),
    inference(rat,[],[s187,s73,s74,s75]) ).

cnf(s515,plain,
    ( spl0_34
    | spl0_30
    | ~ spl0_15
    | spl0_55
    | ~ spl0_24
    | spl0_42
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s386,s388,s182,s183,s54,s514,s39,s512,s33,s237,s212,s31]) ).

cnf(s516,plain,
    ( ~ spl0_19
    | ~ spl0_47
    | spl0_55
    | ~ spl0_14 ),
    inference(rat,[],[s386,s388,s182,s183,s54,s514]) ).

cnf(s517,plain,
    ( spl0_26
    | spl0_25
    | ~ spl0_24
    | spl0_33
    | ~ spl0_14 ),
    inference(rat,[],[s220,s317,s133,s134,s135,s27,s242,s153,s154,s155,s17,s12,s503]) ).

cnf(s518,plain,
    ( ~ spl0_24
    | spl0_76
    | spl0_77
    | ~ spl0_78
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_14
    | spl0_2 ),
    inference(rat,[],[s259,s109,s110,s111,s29,s228,s261,s173,s174,s175,s517,s513,s39,s509,s515,s499,s24,s23,s324,s433,s444,s63,s377,s432,s436,s421]) ).

cnf(s519,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s510,s12,s33,s513,s273,s39,s509,s21,s507,s191,s101,s102,s103,s508,s10,s26,s518,s89,s90,s91,s511,s436,s149,s150,s151,s152,s1]) ).

cnf(s520,plain,
    ( spl0_50
    | ~ spl0_52
    | spl0_43
    | spl0_38
    | ~ spl0_14 ),
    inference(rat,[],[s459,s484,s146,s147,s44,s45]) ).

cnf(s521,plain,
    ( ~ spl0_46
    | ~ spl0_50 ),
    inference(rat,[],[s468,s157,s158,s159]) ).

cnf(s522,plain,
    ( ~ spl0_32
    | spl0_34
    | spl0_38
    | ~ spl0_14 ),
    inference(rat,[],[s405,s133,s134,s135,s27,s240]) ).

cnf(s523,plain,
    ( spl0_34
    | ~ spl0_24
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s37,s206,s433,s520,s444,s521,s63,s38,s201,s500,s40,s39,s516,s33,s522,s212,s31,s172,s384,s169,s170,s171,s436,s149,s150,s151,s503]) ).

cnf(s524,plain,
    ( spl0_32
    | spl0_43
    | spl0_38
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s58,s461,s206,s145,s146,s147,s520,s44,s37,s521,s433,s38,s444,s500,s63,s39,s421,s516,s89,s90,s91,s33,s497,s172,s384,s169,s170,s171,s436,s149,s150,s151]) ).

cnf(s525,plain,
    ( ~ spl0_4
    | spl0_25
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s403,s309,s101,s102,s103,s19,s229,s69,s70,s71,s52,s228,s37,s261,s433,s173,s174,s175,s444,s267,s517,s63,s432,s421,s89,s90,s91,s172,s384,s169,s170,s171,s151,s150,s149,s523]) ).

cnf(s526,plain,
    ( spl0_25
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s261,s434,s37,s173,s174,s175,s309,s12,s403,s191,s101,s102,s103,s504,s525,s172,s523]) ).

cnf(s527,plain,
    ( spl0_43
    | ~ spl0_24
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s58,s494,s461,s459,s145,s146,s147,s44,s45,s521,s38,s500,s39,s513,s526,s524,s172,s436,s149,s150,s151,s503]) ).

cnf(s528,plain,
    ( ~ spl0_4
    | ~ spl0_33 ),
    inference(rat,[],[s421,s89,s90,s91]) ).

cnf(s529,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(rat,[],[s191,s101,s102,s103,s504,s528,s517,s12]) ).

cnf(s530,plain,
    ( ~ spl0_7
    | ~ spl0_39 ),
    inference(rat,[],[s242,s153,s154,s155]) ).

cnf(s531,plain,
    ( ~ spl0_24
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s329,s105,s106,s107,s25,s230,s398,s73,s74,s75,s16,s405,s37,s433,s442,s133,s134,s135,s65,s43,s493,s420,s125,s126,s127,s41,s191,s101,s102,s103,s504,s528,s451,s17,s530,s45,s521,s38,s500,s40,s39,s513,s529,s510,s527,s503,s172,s384,s169,s170,s171,s436,s149,s150,s151]) ).

cnf(s532,plain,
    ( spl0_43
    | spl0_32
    | spl0_27
    | ~ spl0_37
    | ~ spl0_2 ),
    inference(rat,[],[s473,s125,s126,s127,s41,s521,s38,s500,s63,s273,s516,s528,s33,s497,s172,s384,s169,s170,s171]) ).

cnf(s533,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s492,s496,s177,s178,s179,s45,s63,s420,s473,s493,s125,s126,s127,s41,s521,s38,s500,s39,s513,s12,s510,s532,s507,s191,s101,s102,s103,s10,s26,s531,s436,s149,s150,s151,s172,s384,s169,s170,s171,s519]) ).

cnf(s534,plain,
    ( ~ spl0_5
    | ~ spl0_45
    | ~ spl0_32 ),
    inference(rat,[],[s403,s309,s101,s102,s103]) ).

cnf(s535,plain,
    ( ~ spl0_47
    | spl0_43
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s229,s69,s70,s71,s52,s267,s19,s432,s528,s89,s90,s91,s504,s534,s37,s434,s228,s261,s522,s173,s174,s175,s33,s529,s516,s513,s172,s384,s169,s170,s171,s503]) ).

cnf(s536,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s461,s145,s146,s147,s51,s267,s56,s432,s528,s89,s90,s91,s172,s519,s533]) ).

cnf(s537,plain,
    ( spl0_43
    | ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s494,s459,s58,s45,s521,s38,s500,s198,s65,s451,s56,s461,s145,s146,s147,s51,s280,s403,s101,s103,s497,s504,s536,s530,s40,s535,s172,s384,s169,s170,s171,s519,s533,s503]) ).

cnf(s538,plain,
    ( ~ spl0_12
    | ~ spl0_56 ),
    inference(rat,[],[s461,s145,s146,s147]) ).

cnf(s539,plain,
    ( spl0_37
    | spl0_15
    | ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s282,s141,s142,s143,s49,s488,s419,s45,s471,s268,s117,s118,s119,s14,s499,s51,s5,s538,s105,s106,s25,s65,s533,s451,s17,s384,s169,s170,s171,s191,s101,s102,s103,s504,s536,s530,s40,s513,s529,s510,s537,s503,s172,s519]) ).

cnf(s540,plain,
    ( ~ spl0_37
    | spl0_27
    | spl0_47
    | ~ spl0_24
    | ~ spl0_14 ),
    inference(rat,[],[s493,s420,s125,s126,s127,s41,s45,s521,s38,s500,s198,s503]) ).

cnf(s541,plain,
    ( ~ spl0_24
    | spl0_1 ),
    inference(rat,[],[s230,s398,s73,s74,s75,s16,s403,s280,s51,s538,s539,s65,s540,s191,s101,s102,s103,s451,s504,s17,s536,s530,s40,s513,s529,s510,s537,s503,s172,s384,s169,s170,s171,s519,s533]) ).

cnf(s542,plain,
    ( ~ spl0_26
    | spl0_1 ),
    inference(rat,[],[s207,s196,s93,s94,s95,s21,s261,s434,s37,s534,s532,s510,s173,s174,s175,s26,s191,s101,s102,s103,s10,s541,s172,s519]) ).

cnf(s543,plain,
    ( ~ spl0_32
    | spl0_1 ),
    inference(rat,[],[s538,s55,s51,s499,s280,s237,s403,s533,s103,s101,s10,s541,s30,s542,s172,s519]) ).

cnf(s546,plain,
    ( ~ spl0_29
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(rat,[],[s471,s268,s117,s118,s119]) ).

cnf(s549,plain,
    ( ~ spl0_20
    | ~ spl0_54 ),
    inference(rat,[],[s282,s141,s142,s143]) ).

cnf(s550,plain,
    ( ~ spl0_49
    | ~ spl0_42
    | ~ spl0_37 ),
    inference(rat,[],[s464,s493,s125,s127]) ).

cnf(s551,plain,
    ( ~ spl0_54
    | ~ spl0_34
    | spl0_22
    | spl0_7
    | ~ spl0_50
    | ~ spl0_14 ),
    inference(rat,[],[s218,s318,s133,s135,s14,s8,s546,s549]) ).

cnf(s552,plain,
    ( ~ spl0_12
    | ~ spl0_42
    | ~ spl0_41 ),
    inference(rat,[],[s246,s494,s145,s147]) ).

cnf(s553,plain,
    ( spl0_7
    | ~ spl0_42
    | spl0_1 ),
    inference(rat,[],[s213,s551,s17,s532,s543,s209,s121,s122,s38,s521,s41,s550,s26,s513,s12,s191,s101,s102,s103,s10,s541,s51,s552,s30,s542,s172,s519,s533]) ).

cnf(s554,plain,
    ( ~ spl0_42
    | spl0_1 ),
    inference(rat,[],[s207,s196,s93,s94,s95,s21,s489,s462,s153,s154,s155,s553,s37,s363,s469,s41,s550,s26,s131,s130,s129,s12,s542,s191,s101,s102,s103,s10,s541,s172,s519]) ).

cnf(s555,plain,
    spl0_1,
    inference(rat,[],[s496,s492,s177,s178,s179,s45,s63,s420,s473,s493,s125,s126,s127,s41,s521,s38,s500,s39,s554,s513,s12,s542,s191,s101,s102,s103,s10,s26,s541,s384,s169,s170,s171,s172,s519]) ).

cnf(s556,plain,
    spl0_14,
    inference(rat,[],[s116,s555]) ).

cnf(s557,plain,
    ~ spl0_96,
    inference(rat,[],[s115,s555]) ).

cnf(s559,plain,
    ~ spl0_94,
    inference(rat,[],[s113,s555]) ).

cnf(s560,plain,
    ( spl0_7
    | ~ spl0_54
    | ~ spl0_43
    | spl0_22
    | ~ spl0_50 ),
    inference(rat,[],[s213,s551,s17,s510,s556]) ).

cnf(s561,plain,
    ( ~ spl0_17
    | ~ spl0_35
    | ~ spl0_37 ),
    inference(rat,[],[s207,s196,s93,s94,s95]) ).

cnf(s562,plain,
    ( ~ spl0_7
    | ~ spl0_34
    | ~ spl0_37 ),
    inference(rat,[],[s489,s462,s153,s154,s155]) ).

cnf(s563,plain,
    ( ~ spl0_3
    | ~ spl0_42 ),
    inference(rat,[],[s436,s149,s150,s151]) ).

cnf(s564,plain,
    ( ~ spl0_17
    | ~ spl0_37
    | ~ spl0_42 ),
    inference(rat,[],[s245,s196,s93,s94]) ).

cnf(s565,plain,
    ( spl0_24
    | ~ spl0_42
    | spl0_47 ),
    inference(rat,[],[s471,s491,s117,s118,s119,s14,s499,s56,s55,s538,s51,s551,s562,s21,s564,s209,s121,s122,s38,s521,s41,s191,s101,s102,s103,s550,s10,s26,s563,s556]) ).

cnf(s566,plain,
    ( spl0_48
    | spl0_47 ),
    inference(rat,[],[s488,s419,s105,s106,s25,s230,s398,s73,s74,s75,s16,s528,s45,s17,s560,s510,s49,s33,s220,s405,s317,s133,s134,s135,s8,s549,s51,s538,s65,s447,s274,s241,s200,s530,s40,s198,s503,s565,s563,s39,s559,s557,s556]) ).

cnf(s567,plain,
    ( spl0_24
    | spl0_47
    | spl0_55 ),
    inference(rat,[],[s496,s492,s177,s178,s179,s45,s63,s420,s473,s493,s125,s126,s127,s41,s191,s101,s102,s103,s10,s26,s521,s38,s500,s566,s556]) ).

cnf(s568,plain,
    ( ~ spl0_5
    | ~ spl0_27 ),
    inference(rat,[],[s191,s101,s102,s103]) ).

cnf(s569,plain,
    ( ~ spl0_4
    | spl0_7
    | spl0_3
    | ~ spl0_24 ),
    inference(rat,[],[s51,s538,s267,s56,s432,s528,s89,s90,s91,s556]) ).

cnf(s570,plain,
    ( spl0_47
    | ~ spl0_2 ),
    inference(rat,[],[s488,s419,s105,s106,s25,s230,s398,s49,s73,s74,s75,s549,s16,s51,s405,s538,s133,s134,s135,s65,s43,s540,s568,s504,s569,s447,s241,s530,s45,s40,s531,s503,s567,s521,s38,s500,s566,s384,s169,s170,s171,s556,s557,s559]) ).

cnf(s571,plain,
    ( spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s261,s21,s434,s561,s37,s534,s532,s510,s173,s174,s175,s12,s568,s10,s26,s513,s570,s556]) ).

cnf(s572,plain,
    ~ spl0_2,
    inference(rat,[],[s510,s529,s535,s571,s513,s570,s556]) ).

cnf(s573,plain,
    spl0_24,
    inference(rat,[],[s37,s534,s434,s33,s261,s510,s173,s174,s175,s12,s513,s273,s566,s509,s21,s568,s508,s10,s26,s556,s572]) ).

cnf(s574,plain,
    ~ spl0_38,
    inference(rat,[],[s503,s573]) ).

cnf(s575,plain,
    spl0_47,
    inference(rat,[],[s3,s530,s500,s40,s566,s572,s556,s574]) ).

cnf(s576,plain,
    ~ spl0_25,
    inference(rat,[],[s513,s575]) ).

cnf(s577,plain,
    spl0_26,
    inference(rat,[],[s529,s556,s573,s576]) ).

cnf(s578,plain,
    spl0_141,
    inference(rat,[],[s175,s577]) ).

cnf(s579,plain,
    ~ spl0_140,
    inference(rat,[],[s174,s577]) ).

cnf(s580,plain,
    ~ spl0_139,
    inference(rat,[],[s173,s577]) ).

cnf(s581,plain,
    ~ spl0_43,
    inference(rat,[],[s510,s577]) ).

cnf(s583,plain,
    ~ spl0_30,
    inference(rat,[],[s317,s218,s133,s134,s135,s27,s320,s304,s573,s574,s556,s579,s578,s580]) ).

cnf(s584,plain,
    spl0_7,
    inference(rat,[],[s405,s133,s134,s135,s15,s33,s538,s516,s56,s379,s491,s367,s117,s118,s119,s14,s583,s556,s581,s575]) ).

cnf(s588,plain,
    ~ spl0_39,
    inference(rat,[],[s530,s584]) ).

cnf(s589,plain,
    spl0_21,
    inference(rat,[],[s27,s556,s574,s588]) ).

cnf(s590,plain,
    spl0_111,
    inference(rat,[],[s135,s589]) ).

cnf(s591,plain,
    spl0_110,
    inference(rat,[],[s134,s589]) ).

cnf(s592,plain,
    ~ spl0_109,
    inference(rat,[],[s133,s589]) ).

cnf(s594,plain,
    ~ spl0_32,
    inference(rat,[],[s405,s590,s591,s592]) ).

cnf(s595,plain,
    spl0_19,
    inference(rat,[],[s33,s581,s556,s594]) ).

cnf(s596,plain,
    spl0_4,
    inference(rat,[],[s497,s556,s581,s594]) ).

cnf(s598,plain,
    spl0_55,
    inference(rat,[],[s516,s556,s575,s595]) ).

cnf(s599,plain,
    spl0_78,
    inference(rat,[],[s91,s596]) ).

cnf(s600,plain,
    ~ spl0_77,
    inference(rat,[],[s90,s596]) ).

cnf(s601,plain,
    ~ spl0_76,
    inference(rat,[],[s89,s596]) ).

cnf(s603,plain,
    spl0_148,
    inference(rat,[],[s377,s601,s600,s598]) ).

cnf(s604,plain,
    $false,
    inference(rat,[],[s432,s573,s599,s601,s603]) ).

fof(f1939,plain,
    $false,
    inference(avatar_sat_refutation,[],[s604]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN469+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n018.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:11:55 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.81/1.14  % (3514798)Detected formulas, will run a generic FOF schedule.
% 2.81/1.14  % (3514803)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=960171598:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.81/1.14  % (3514805)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=616548817:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.81/1.14  % (3514804)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2744238609:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.81/1.14  % (3514807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=617551822:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.81/1.14  % (3514809)dis-21_1_sil=8000:lcm=predicate:random_seed=1981281215:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.81/1.14  % (3514808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1165652327:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.81/1.14  % (3514806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2537498542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.81/1.14  % (3514809)First to succeed.
% 2.81/1.14  % (3514809)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3514798"
% 2.81/1.14  % (3514808)Also succeeded, but the first one will report.
% 2.81/1.14  % (3514807)Instruction limit reached! 
% 2.81/1.14  % (3514807)------------------------------
% 2.81/1.14  % (3514807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.14  % (3514807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.14  % (3514807)CaDiCaL version: 2.1.3
% 2.81/1.14  % (3514807)Termination reason: Instruction limit
% 2.81/1.14  % (3514807)Termination phase: Saturation
% 2.81/1.14  % (3514807)Time elapsed: 0.058 s
% 2.81/1.14  % (3514807)Peak memory usage: 88 MB
% 2.81/1.14  % (3514807)Instructions burned: 121 (million)
% 2.81/1.14  % (3514806)Instruction limit reached! 
% 2.81/1.14  % (3514806)------------------------------
% 2.81/1.14  % (3514806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.14  % (3514806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.14  % (3514806)CaDiCaL version: 2.1.3
% 2.81/1.14  % (3514806)Termination reason: Instruction limit
% 2.81/1.14  % (3514806)Termination phase: Saturation
% 2.81/1.14  % (3514806)Time elapsed: 0.071 s
% 2.81/1.14  % (3514806)Peak memory usage: 91 MB
% 2.81/1.14  % (3514806)Instructions burned: 110 (million)
% 2.81/1.14  % (3514817)lrs+10_1_sil=8000:sp=occurrence:random_seed=876808794:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.81/1.14  % (3514818)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2517700231:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.81/1.14  % (3514809)Refutation found. Thanks to Tanya!
% 2.81/1.14  % SZS status Theorem for theBenchmark
% 2.81/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.95/1.34  % (3514809)------------------------------
% 3.95/1.34  % (3514809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.34  % (3514809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.34  % (3514809)CaDiCaL version: 2.1.3
% 3.95/1.34  % (3514809)Termination reason: Refutation
% 3.95/1.34  % (3514809)Time elapsed: 0.035 s
% 3.95/1.34  % (3514809)Peak memory usage: 90 MB
% 3.95/1.34  % (3514809)Instructions burned: 58 (million)
% 3.95/1.34  % (3514809)------------------------------
% 3.95/1.34  % (3514809)------------------------------
% 3.95/1.34  % (3514798)Success in time 0.468 s
% 3.95/1.34  % Vampire exiting
%------------------------------------------------------------------------------