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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 01:50:43 PM UTC 2026

% Result   : Theorem 3.76s 1.17s
% Output   : Refutation 4.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a535)
          & c0_1(a535)
          & ~ c2_1(a535) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c2_1(a539)
          & ~ c1_1(a539)
          & ~ c0_1(a539) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a540)
          & c1_1(a540)
          & ~ c3_1(a540) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c1_1(a543)
          & ~ c0_1(a543)
          & ~ c3_1(a543) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c2_1(a545)
          & c1_1(a545)
          & ~ c0_1(a545) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c3_1(a546)
          & c2_1(a546)
          & ~ c1_1(a546) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c2_1(a548)
          & c3_1(a548)
          & ~ c0_1(a548) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a550)
          & c3_1(a550)
          & ~ c1_1(a550) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c3_1(a552)
          & ~ c1_1(a552)
          & ~ c2_1(a552) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a554)
          & ~ c2_1(a554)
          & ~ c1_1(a554) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c1_1(a558)
          & c3_1(a558)
          & ~ c0_1(a558) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a560)
          & ~ c3_1(a560)
          & ~ c0_1(a560) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a563)
          & ~ c0_1(a563)
          & ~ c2_1(a563) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a565)
          & c2_1(a565)
          & ~ c1_1(a565) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a567)
          & ~ c1_1(a567)
          & ~ c3_1(a567) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a569)
          & ~ c1_1(a569)
          & ~ c2_1(a569) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c3_1(a570)
          & c1_1(a570)
          & ~ c0_1(a570) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a571)
          & c3_1(a571)
          & ~ c2_1(a571) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c3_1(a572)
          & c0_1(a572)
          & ~ c1_1(a572) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c2_1(a573)
          & ~ c0_1(a573)
          & ~ c1_1(a573) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c2_1(a575)
          & ~ c0_1(a575)
          & ~ c3_1(a575) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a576)
          & ~ c0_1(a576)
          & ~ c3_1(a576) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c3_1(a577)
          & c1_1(a577)
          & ~ c0_1(a577) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a578)
          & ~ c0_1(a578)
          & ~ c1_1(a578) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c2_1(a581)
          & ~ c1_1(a581)
          & ~ c3_1(a581) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c3_1(a582)
          & ~ c2_1(a582)
          & ~ c1_1(a582) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a584)
          & c1_1(a584)
          & ~ c3_1(a584) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c0_1(a586)
          & c1_1(a586)
          & ~ c3_1(a586) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c2_1(a589)
          & c3_1(a589)
          & ~ c0_1(a589) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ c3_1(a590)
          & ~ c0_1(a590)
          & ~ c1_1(a590) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a591)
          & ~ c2_1(a591)
          & ~ c0_1(a591) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & ~ c0_1(a594)
          & ~ c3_1(a594)
          & ~ c1_1(a594) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & c0_1(a596)
          & ~ c3_1(a596)
          & ~ c2_1(a596) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & c1_1(a536)
          & c2_1(a536)
          & c0_1(a536) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & c0_1(a537)
          & ~ c1_1(a537)
          & c3_1(a537) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & c2_1(a538)
          & c1_1(a538)
          & c3_1(a538) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & c0_1(a541)
          & c1_1(a541)
          & c2_1(a541) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ~ c2_1(a544)
          & ~ c3_1(a544)
          & c1_1(a544) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & c2_1(a547)
          & c1_1(a547)
          & c0_1(a547) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & c3_1(a549)
          & c2_1(a549)
          & c1_1(a549) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & c3_1(a551)
          & ~ c0_1(a551)
          & c2_1(a551) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ~ c2_1(a555)
          & c3_1(a555)
          & c0_1(a555) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ c2_1(a556)
          & c1_1(a556)
          & c3_1(a556) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & c3_1(a557)
          & ~ c1_1(a557)
          & c0_1(a557) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & ~ c3_1(a559)
          & c0_1(a559)
          & c2_1(a559) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & ~ c3_1(a561)
          & ~ c2_1(a561)
          & c0_1(a561) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ c3_1(a562)
          & ~ c0_1(a562)
          & c1_1(a562) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & ~ c2_1(a564)
          & c0_1(a564)
          & c1_1(a564) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & ~ c3_1(a566)
          & ~ c2_1(a566)
          & c1_1(a566) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ c0_1(a568)
          & ~ c1_1(a568)
          & c2_1(a568) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ c3_1(a574)
          & c0_1(a574)
          & c1_1(a574) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & ~ c2_1(a583)
          & c0_1(a583)
          & c3_1(a583) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & ~ c0_1(a595)
          & c2_1(a595)
          & c1_1(a595) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c1_1(X0)
              | c2_1(X0)
              | c3_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c1_1(X1)
              | ~ c0_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | ~ c1_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | ~ c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c1_1(X4)
              | ~ c2_1(X4) ) ) )
      & ( hskp33
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | ~ c1_1(X6)
              | ~ c0_1(X6) ) ) )
      & ( hskp34
        | ! [X7] :
            ( ndr1_0
           => ( ~ c1_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c2_1(X8)
              | c3_1(X8) ) ) )
      & ( hskp35
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c2_1(X9)
              | ~ c1_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c1_1(X11)
              | ~ c0_1(X11) ) )
        | hskp1
        | hskp2 )
      & ( hskp36
        | hskp34
        | hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | c1_1(X12)
              | c3_1(X12) ) )
        | hskp37
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c2_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c0_1(X14)
              | ~ c1_1(X14) ) )
        | hskp4
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | ~ c3_1(X15)
              | ~ c1_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c2_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | ~ c3_1(X17)
              | c2_1(X17) ) )
        | hskp5 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c1_1(X18)
              | c2_1(X18) ) )
        | hskp38
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c3_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c3_1(X21)
              | c0_1(X21) ) )
        | hskp6 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | ~ c1_1(X22)
              | c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c3_1(X23)
              | ~ c1_1(X23) ) )
        | hskp39 )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c1_1(X24)
              | ~ c0_1(X24) ) )
        | hskp7
        | hskp40 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c2_1(X25)
              | c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c0_1(X26)
              | ~ c3_1(X26) ) )
        | hskp8 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) )
        | hskp38 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c3_1(X30)
              | c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c2_1(X31)
              | c3_1(X31) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c0_1(X32)
              | ~ c3_1(X32) ) )
        | hskp9
        | hskp41 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c3_1(X34)
              | c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( hskp42
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c3_1(X37)
              | c2_1(X37) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | hskp43
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c0_1(X39) ) ) )
      & ( hskp10
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c0_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c3_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( hskp44
        | hskp11
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c3_1(X42)
              | c2_1(X42) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | c0_1(X43)
              | c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | hskp45 )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c0_1(X45)
              | ~ c1_1(X45) ) )
        | hskp46
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c0_1(X46)
              | c1_1(X46) ) ) )
      & ( hskp12
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c2_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c3_1(X50) ) )
        | hskp47 )
      & ( hskp13
        | hskp48
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c0_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c3_1(X54) ) )
        | hskp49
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c3_1(X56)
              | c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c1_1(X57)
              | c2_1(X57) ) )
        | hskp15 )
      & ( hskp16
        | hskp17
        | hskp18 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | hskp19
        | hskp50 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp20
        | hskp21 )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | ~ c0_1(X60) ) )
        | hskp22
        | hskp23 )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c0_1(X62)
              | ~ c2_1(X62) ) )
        | hskp34 )
      & ( hskp39
        | hskp24
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | ~ c0_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c3_1(X64)
              | c2_1(X64) ) )
        | hskp25
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c3_1(X65)
              | ~ c1_1(X65) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c3_1(X66)
              | c1_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c2_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | ~ c3_1(X68) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp51 )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c0_1(X71)
              | c1_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | hskp26 )
      & ( hskp6
        | hskp27
        | hskp4 )
      & ( hskp46
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | c2_1(X73)
              | c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c1_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c0_1(X75)
              | c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c0_1(X76)
              | c2_1(X76) ) )
        | hskp28 )
      & ( hskp29
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c3_1(X77)
              | c1_1(X77) ) )
        | hskp30 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | c3_1(X78)
              | c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp46 )
      & ( hskp40
        | hskp31
        | hskp52 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | hskp32
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c1_1(X81)
              | ~ c0_1(X81) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a535)
            & c0_1(a535)
            & ~ c2_1(a535) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c2_1(a539)
            & ~ c1_1(a539)
            & ~ c0_1(a539) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a540)
            & c1_1(a540)
            & ~ c3_1(a540) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a543)
            & ~ c0_1(a543)
            & ~ c3_1(a543) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c2_1(a545)
            & c1_1(a545)
            & ~ c0_1(a545) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c3_1(a546)
            & c2_1(a546)
            & ~ c1_1(a546) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c2_1(a548)
            & c3_1(a548)
            & ~ c0_1(a548) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a550)
            & c3_1(a550)
            & ~ c1_1(a550) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c3_1(a552)
            & ~ c1_1(a552)
            & ~ c2_1(a552) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a554)
            & ~ c2_1(a554)
            & ~ c1_1(a554) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a558)
            & c3_1(a558)
            & ~ c0_1(a558) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a560)
            & ~ c3_1(a560)
            & ~ c0_1(a560) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a563)
            & ~ c0_1(a563)
            & ~ c2_1(a563) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a565)
            & c2_1(a565)
            & ~ c1_1(a565) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a567)
            & ~ c1_1(a567)
            & ~ c3_1(a567) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a569)
            & ~ c1_1(a569)
            & ~ c2_1(a569) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c3_1(a570)
            & c1_1(a570)
            & ~ c0_1(a570) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a571)
            & c3_1(a571)
            & ~ c2_1(a571) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c3_1(a572)
            & c0_1(a572)
            & ~ c1_1(a572) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c2_1(a573)
            & ~ c0_1(a573)
            & ~ c1_1(a573) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c2_1(a575)
            & ~ c0_1(a575)
            & ~ c3_1(a575) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a576)
            & ~ c0_1(a576)
            & ~ c3_1(a576) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c3_1(a577)
            & c1_1(a577)
            & ~ c0_1(a577) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a578)
            & ~ c0_1(a578)
            & ~ c1_1(a578) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c2_1(a581)
            & ~ c1_1(a581)
            & ~ c3_1(a581) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a582)
            & ~ c2_1(a582)
            & ~ c1_1(a582) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a584)
            & c1_1(a584)
            & ~ c3_1(a584) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c0_1(a586)
            & c1_1(a586)
            & ~ c3_1(a586) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c2_1(a589)
            & c3_1(a589)
            & ~ c0_1(a589) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & ~ c3_1(a590)
            & ~ c0_1(a590)
            & ~ c1_1(a590) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a591)
            & ~ c2_1(a591)
            & ~ c0_1(a591) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & ~ c0_1(a594)
            & ~ c3_1(a594)
            & ~ c1_1(a594) ) )
        & ( ~ hskp32
          | ( ndr1_0
            & c0_1(a596)
            & ~ c3_1(a596)
            & ~ c2_1(a596) ) )
        & ( ~ hskp33
          | ( ndr1_0
            & c1_1(a536)
            & c2_1(a536)
            & c0_1(a536) ) )
        & ( ~ hskp34
          | ( ndr1_0
            & c0_1(a537)
            & ~ c1_1(a537)
            & c3_1(a537) ) )
        & ( ~ hskp35
          | ( ndr1_0
            & c2_1(a538)
            & c1_1(a538)
            & c3_1(a538) ) )
        & ( ~ hskp36
          | ( ndr1_0
            & c0_1(a541)
            & c1_1(a541)
            & c2_1(a541) ) )
        & ( ~ hskp37
          | ( ndr1_0
            & ~ c2_1(a544)
            & ~ c3_1(a544)
            & c1_1(a544) ) )
        & ( ~ hskp38
          | ( ndr1_0
            & c2_1(a547)
            & c1_1(a547)
            & c0_1(a547) ) )
        & ( ~ hskp39
          | ( ndr1_0
            & c3_1(a549)
            & c2_1(a549)
            & c1_1(a549) ) )
        & ( ~ hskp40
          | ( ndr1_0
            & c3_1(a551)
            & ~ c0_1(a551)
            & c2_1(a551) ) )
        & ( ~ hskp41
          | ( ndr1_0
            & ~ c2_1(a555)
            & c3_1(a555)
            & c0_1(a555) ) )
        & ( ~ hskp42
          | ( ndr1_0
            & ~ c2_1(a556)
            & c1_1(a556)
            & c3_1(a556) ) )
        & ( ~ hskp43
          | ( ndr1_0
            & c3_1(a557)
            & ~ c1_1(a557)
            & c0_1(a557) ) )
        & ( ~ hskp44
          | ( ndr1_0
            & ~ c3_1(a559)
            & c0_1(a559)
            & c2_1(a559) ) )
        & ( ~ hskp45
          | ( ndr1_0
            & ~ c3_1(a561)
            & ~ c2_1(a561)
            & c0_1(a561) ) )
        & ( ~ hskp46
          | ( ndr1_0
            & ~ c3_1(a562)
            & ~ c0_1(a562)
            & c1_1(a562) ) )
        & ( ~ hskp47
          | ( ndr1_0
            & ~ c2_1(a564)
            & c0_1(a564)
            & c1_1(a564) ) )
        & ( ~ hskp48
          | ( ndr1_0
            & ~ c3_1(a566)
            & ~ c2_1(a566)
            & c1_1(a566) ) )
        & ( ~ hskp49
          | ( ndr1_0
            & ~ c0_1(a568)
            & ~ c1_1(a568)
            & c2_1(a568) ) )
        & ( ~ hskp50
          | ( ndr1_0
            & ~ c3_1(a574)
            & c0_1(a574)
            & c1_1(a574) ) )
        & ( ~ hskp51
          | ( ndr1_0
            & ~ c2_1(a583)
            & c0_1(a583)
            & c3_1(a583) ) )
        & ( ~ hskp52
          | ( ndr1_0
            & ~ c0_1(a595)
            & c2_1(a595)
            & c1_1(a595) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c1_1(X0)
                | c2_1(X0)
                | c3_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c1_1(X4)
                | ~ c2_1(X4) ) ) )
        & ( hskp33
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp34
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c2_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp35
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c2_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) )
          | hskp1
          | hskp2 )
        & ( hskp36
          | hskp34
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | hskp37
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c0_1(X14)
                | ~ c1_1(X14) ) )
          | hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c3_1(X15)
                | ~ c1_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c3_1(X17)
                | c2_1(X17) ) )
          | hskp5 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c1_1(X18)
                | c2_1(X18) ) )
          | hskp38
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c3_1(X21)
                | c0_1(X21) ) )
          | hskp6 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | ~ c1_1(X22)
                | c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c3_1(X23)
                | ~ c1_1(X23) ) )
          | hskp39 )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c1_1(X24)
                | ~ c0_1(X24) ) )
          | hskp7
          | hskp40 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) )
          | hskp8 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) )
          | hskp38 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c3_1(X30)
                | c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c2_1(X31)
                | c3_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c0_1(X32)
                | ~ c3_1(X32) ) )
          | hskp9
          | hskp41 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( hskp42
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c3_1(X37)
                | c2_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | hskp43
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c0_1(X39) ) ) )
        & ( hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c0_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c3_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( hskp44
          | hskp11
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c3_1(X42)
                | c2_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | c0_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | hskp45 )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c0_1(X45)
                | ~ c1_1(X45) ) )
          | hskp46
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp12
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c2_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c3_1(X50) ) )
          | hskp47 )
        & ( hskp13
          | hskp48
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c0_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | hskp49
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c3_1(X56)
                | c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c1_1(X57)
                | c2_1(X57) ) )
          | hskp15 )
        & ( hskp16
          | hskp17
          | hskp18 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | hskp19
          | hskp50 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp20
          | hskp21 )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) )
          | hskp22
          | hskp23 )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) )
          | hskp34 )
        & ( hskp39
          | hskp24
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | ~ c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c3_1(X64)
                | c2_1(X64) ) )
          | hskp25
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c3_1(X65)
                | ~ c1_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c3_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp51 )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c0_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | hskp26 )
        & ( hskp6
          | hskp27
          | hskp4 )
        & ( hskp46
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c1_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c0_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | c2_1(X76) ) )
          | hskp28 )
        & ( hskp29
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c3_1(X77)
                | c1_1(X77) ) )
          | hskp30 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | c3_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp46 )
        & ( hskp40
          | hskp31
          | hskp52 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | hskp32
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c1_1(X81)
                | ~ c0_1(X81) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a535)
        & c0_1(a535)
        & ~ c2_1(a535) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c2_1(a539)
        & ~ c1_1(a539)
        & ~ c0_1(a539) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a540)
        & c1_1(a540)
        & ~ c3_1(a540) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a543)
        & ~ c0_1(a543)
        & ~ c3_1(a543) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a545)
        & c1_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c3_1(a546)
        & c2_1(a546)
        & ~ c1_1(a546) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a548)
        & c3_1(a548)
        & ~ c0_1(a548) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a550)
        & c3_1(a550)
        & ~ c1_1(a550) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c3_1(a552)
        & ~ c1_1(a552)
        & ~ c2_1(a552) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a554)
        & ~ c2_1(a554)
        & ~ c1_1(a554) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a558)
        & c3_1(a558)
        & ~ c0_1(a558) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a560)
        & ~ c3_1(a560)
        & ~ c0_1(a560) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a563)
        & ~ c0_1(a563)
        & ~ c2_1(a563) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a565)
        & c2_1(a565)
        & ~ c1_1(a565) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a567)
        & ~ c1_1(a567)
        & ~ c3_1(a567) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a569)
        & ~ c1_1(a569)
        & ~ c2_1(a569) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a570)
        & c1_1(a570)
        & ~ c0_1(a570) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a571)
        & c3_1(a571)
        & ~ c2_1(a571) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a572)
        & c0_1(a572)
        & ~ c1_1(a572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c2_1(a573)
        & ~ c0_1(a573)
        & ~ c1_1(a573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a575)
        & ~ c0_1(a575)
        & ~ c3_1(a575) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a576)
        & ~ c0_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a577)
        & c1_1(a577)
        & ~ c0_1(a577) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a578)
        & ~ c0_1(a578)
        & ~ c1_1(a578) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a581)
        & ~ c1_1(a581)
        & ~ c3_1(a581) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a582)
        & ~ c2_1(a582)
        & ~ c1_1(a582) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a584)
        & c1_1(a584)
        & ~ c3_1(a584) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a586)
        & c1_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c2_1(a589)
        & c3_1(a589)
        & ~ c0_1(a589) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c3_1(a590)
        & ~ c0_1(a590)
        & ~ c1_1(a590) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a591)
        & ~ c2_1(a591)
        & ~ c0_1(a591) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c0_1(a594)
        & ~ c3_1(a594)
        & ~ c1_1(a594) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a596)
        & ~ c3_1(a596)
        & ~ c2_1(a596) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c1_1(a536)
        & c2_1(a536)
        & c0_1(a536) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c0_1(a537)
        & ~ c1_1(a537)
        & c3_1(a537) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a538)
        & c1_1(a538)
        & c3_1(a538) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & c2_1(a541) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c2_1(a544)
        & ~ c3_1(a544)
        & c1_1(a544) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c2_1(a547)
        & c1_1(a547)
        & c0_1(a547) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c3_1(a549)
        & c2_1(a549)
        & c1_1(a549) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c3_1(a551)
        & ~ c0_1(a551)
        & c2_1(a551) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c2_1(a555)
        & c3_1(a555)
        & c0_1(a555) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a556)
        & c1_1(a556)
        & c3_1(a556) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c3_1(a557)
        & ~ c1_1(a557)
        & c0_1(a557) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559)
        & c2_1(a559) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a561)
        & ~ c2_1(a561)
        & c0_1(a561) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c3_1(a562)
        & ~ c0_1(a562)
        & c1_1(a562) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c2_1(a564)
        & c0_1(a564)
        & c1_1(a564) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a566)
        & ~ c2_1(a566)
        & c1_1(a566) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a568)
        & ~ c1_1(a568)
        & c2_1(a568) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a574)
        & c0_1(a574)
        & c1_1(a574) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ~ c2_1(a583)
        & c0_1(a583)
        & c3_1(a583) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c0_1(a595)
        & c2_1(a595)
        & c1_1(a595) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c1_1(X0)
            | c2_1(X0)
            | c3_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c1_1(X4)
            | ~ c2_1(X4) ) ) )
    & ( hskp33
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c3_1(X5)
            | c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp34
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | c2_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp35
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c2_1(X9)
            | ~ c1_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) )
      | hskp1
      | hskp2 )
    & ( hskp36
      | hskp34
      | hskp3 )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c1_1(X12)
            | c3_1(X12) ) )
      | hskp37
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c2_1(X13)
            | ~ c0_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c0_1(X14)
            | ~ c1_1(X14) ) )
      | hskp4
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c3_1(X15)
            | ~ c1_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c2_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | ~ c3_1(X17)
            | c2_1(X17) ) )
      | hskp5 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c1_1(X18)
            | c2_1(X18) ) )
      | hskp38
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c3_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c3_1(X21)
            | c0_1(X21) ) )
      | hskp6 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | ~ c1_1(X22)
            | c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c3_1(X23)
            | ~ c1_1(X23) ) )
      | hskp39 )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c1_1(X24)
            | ~ c0_1(X24) ) )
      | hskp7
      | hskp40 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) )
      | hskp8 )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) )
      | hskp38 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c3_1(X30)
            | c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | ~ c2_1(X31)
            | c3_1(X31) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c0_1(X32)
            | ~ c3_1(X32) ) )
      | hskp9
      | hskp41 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c1_1(X33)
            | ~ c2_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) ) )
    & ( hskp42
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c3_1(X37)
            | c2_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c2_1(X38)
            | ~ c1_1(X38) ) )
      | hskp43
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c0_1(X39) ) ) )
    & ( hskp10
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | c0_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c3_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( hskp44
      | hskp11
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c3_1(X42)
            | c2_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c2_1(X43)
            | c0_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) )
      | hskp45 )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c0_1(X45)
            | ~ c1_1(X45) ) )
      | hskp46
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp12
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c2_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c2_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c3_1(X50) ) )
      | hskp47 )
    & ( hskp13
      | hskp48
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp14
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c0_1(X53)
            | ~ c1_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c0_1(X54)
            | ~ c3_1(X54) ) )
      | hskp49
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c3_1(X56)
            | c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | ~ c1_1(X57)
            | c2_1(X57) ) )
      | hskp15 )
    & ( hskp16
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c0_1(X58)
            | c1_1(X58) ) )
      | hskp19
      | hskp50 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c3_1(X59)
            | ~ c1_1(X59) ) )
      | hskp20
      | hskp21 )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) )
      | hskp22
      | hskp23 )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c0_1(X62)
            | ~ c2_1(X62) ) )
      | hskp34 )
    & ( hskp39
      | hskp24
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | c2_1(X63)
            | ~ c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c3_1(X64)
            | c2_1(X64) ) )
      | hskp25
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c3_1(X65)
            | ~ c1_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c3_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | ~ c3_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp51 )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c0_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | hskp26 )
    & ( hskp6
      | hskp27
      | hskp4 )
    & ( hskp46
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c1_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c0_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c0_1(X76)
            | c2_1(X76) ) )
      | hskp28 )
    & ( hskp29
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c3_1(X77)
            | c1_1(X77) ) )
      | hskp30 )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | c3_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | hskp46 )
    & ( hskp40
      | hskp31
      | hskp52 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | ~ c2_1(X80) ) )
      | hskp32
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c1_1(X81)
            | ~ c0_1(X81) ) ) ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a535)
        & c0_1(a535)
        & ~ c2_1(a535) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c2_1(a539)
        & ~ c1_1(a539)
        & ~ c0_1(a539) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a540)
        & c1_1(a540)
        & ~ c3_1(a540) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a543)
        & ~ c0_1(a543)
        & ~ c3_1(a543) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a545)
        & c1_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c3_1(a546)
        & c2_1(a546)
        & ~ c1_1(a546) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a548)
        & c3_1(a548)
        & ~ c0_1(a548) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a550)
        & c3_1(a550)
        & ~ c1_1(a550) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c3_1(a552)
        & ~ c1_1(a552)
        & ~ c2_1(a552) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a554)
        & ~ c2_1(a554)
        & ~ c1_1(a554) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a558)
        & c3_1(a558)
        & ~ c0_1(a558) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a560)
        & ~ c3_1(a560)
        & ~ c0_1(a560) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a563)
        & ~ c0_1(a563)
        & ~ c2_1(a563) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a565)
        & c2_1(a565)
        & ~ c1_1(a565) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a567)
        & ~ c1_1(a567)
        & ~ c3_1(a567) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a569)
        & ~ c1_1(a569)
        & ~ c2_1(a569) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a570)
        & c1_1(a570)
        & ~ c0_1(a570) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a571)
        & c3_1(a571)
        & ~ c2_1(a571) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a572)
        & c0_1(a572)
        & ~ c1_1(a572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c2_1(a573)
        & ~ c0_1(a573)
        & ~ c1_1(a573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a575)
        & ~ c0_1(a575)
        & ~ c3_1(a575) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a576)
        & ~ c0_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a577)
        & c1_1(a577)
        & ~ c0_1(a577) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a578)
        & ~ c0_1(a578)
        & ~ c1_1(a578) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a581)
        & ~ c1_1(a581)
        & ~ c3_1(a581) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a582)
        & ~ c2_1(a582)
        & ~ c1_1(a582) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a584)
        & c1_1(a584)
        & ~ c3_1(a584) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a586)
        & c1_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c2_1(a589)
        & c3_1(a589)
        & ~ c0_1(a589) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c3_1(a590)
        & ~ c0_1(a590)
        & ~ c1_1(a590) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a591)
        & ~ c2_1(a591)
        & ~ c0_1(a591) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c0_1(a594)
        & ~ c3_1(a594)
        & ~ c1_1(a594) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a596)
        & ~ c3_1(a596)
        & ~ c2_1(a596) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c1_1(a536)
        & c2_1(a536)
        & c0_1(a536) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c0_1(a537)
        & ~ c1_1(a537)
        & c3_1(a537) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a538)
        & c1_1(a538)
        & c3_1(a538) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & c2_1(a541) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c2_1(a544)
        & ~ c3_1(a544)
        & c1_1(a544) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c2_1(a547)
        & c1_1(a547)
        & c0_1(a547) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c3_1(a549)
        & c2_1(a549)
        & c1_1(a549) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c3_1(a551)
        & ~ c0_1(a551)
        & c2_1(a551) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c2_1(a555)
        & c3_1(a555)
        & c0_1(a555) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a556)
        & c1_1(a556)
        & c3_1(a556) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c3_1(a557)
        & ~ c1_1(a557)
        & c0_1(a557) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559)
        & c2_1(a559) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a561)
        & ~ c2_1(a561)
        & c0_1(a561) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c3_1(a562)
        & ~ c0_1(a562)
        & c1_1(a562) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c2_1(a564)
        & c0_1(a564)
        & c1_1(a564) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a566)
        & ~ c2_1(a566)
        & c1_1(a566) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a568)
        & ~ c1_1(a568)
        & c2_1(a568) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a574)
        & c0_1(a574)
        & c1_1(a574) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ~ c2_1(a583)
        & c0_1(a583)
        & c3_1(a583) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c0_1(a595)
        & c2_1(a595)
        & c1_1(a595) ) )
    & ( ! [X0] :
          ( c1_1(X0)
          | c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp33
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp34
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp35
      | ! [X9] :
          ( c3_1(X9)
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( hskp36
      | hskp34
      | hskp3 )
    & ( ! [X12] :
          ( ~ c0_1(X12)
          | c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp37
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c3_1(X14)
          | c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp4
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | ~ c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c3_1(X18)
          | c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp38
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c3_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X22] :
          ( c3_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp39 )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp7
      | hskp40 )
    & ( ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X27] :
          ( ~ c2_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp38 )
    & ( ! [X29] :
          ( c2_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c1_1(X32)
          | c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp9
      | hskp41 )
    & ( ! [X33] :
          ( c1_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp43
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X40] :
          ( ~ c2_1(X40)
          | c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp44
      | hskp11
      | ! [X42] :
          ( c0_1(X42)
          | ~ c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c2_1(X43)
          | c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp45 )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp46
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | hskp47 )
    & ( hskp13
      | hskp48
      | ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp49
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp16
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | hskp19
      | hskp50 )
    & ( ! [X59] :
          ( c2_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | hskp22
      | hskp23 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp34 )
    & ( hskp39
      | hskp24
      | ! [X63] :
          ( c3_1(X63)
          | c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | ~ c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | hskp25
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | ~ c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp51 )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp6
      | hskp27
      | hskp4 )
    & ( hskp46
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp29
      | ! [X77] :
          ( c2_1(X77)
          | ~ c3_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp46 )
    & ( hskp40
      | hskp31
      | hskp52 )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp32
      | ! [X81] :
          ( c3_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a535)
        & c0_1(a535)
        & ~ c2_1(a535) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c2_1(a539)
        & ~ c1_1(a539)
        & ~ c0_1(a539) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a540)
        & c1_1(a540)
        & ~ c3_1(a540) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a543)
        & ~ c0_1(a543)
        & ~ c3_1(a543) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c2_1(a545)
        & c1_1(a545)
        & ~ c0_1(a545) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c3_1(a546)
        & c2_1(a546)
        & ~ c1_1(a546) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a548)
        & c3_1(a548)
        & ~ c0_1(a548) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a550)
        & c3_1(a550)
        & ~ c1_1(a550) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c3_1(a552)
        & ~ c1_1(a552)
        & ~ c2_1(a552) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a554)
        & ~ c2_1(a554)
        & ~ c1_1(a554) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a558)
        & c3_1(a558)
        & ~ c0_1(a558) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a560)
        & ~ c3_1(a560)
        & ~ c0_1(a560) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a563)
        & ~ c0_1(a563)
        & ~ c2_1(a563) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a565)
        & c2_1(a565)
        & ~ c1_1(a565) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a567)
        & ~ c1_1(a567)
        & ~ c3_1(a567) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a569)
        & ~ c1_1(a569)
        & ~ c2_1(a569) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c3_1(a570)
        & c1_1(a570)
        & ~ c0_1(a570) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a571)
        & c3_1(a571)
        & ~ c2_1(a571) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c3_1(a572)
        & c0_1(a572)
        & ~ c1_1(a572) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c2_1(a573)
        & ~ c0_1(a573)
        & ~ c1_1(a573) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c2_1(a575)
        & ~ c0_1(a575)
        & ~ c3_1(a575) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a576)
        & ~ c0_1(a576)
        & ~ c3_1(a576) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c3_1(a577)
        & c1_1(a577)
        & ~ c0_1(a577) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a578)
        & ~ c0_1(a578)
        & ~ c1_1(a578) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a581)
        & ~ c1_1(a581)
        & ~ c3_1(a581) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a582)
        & ~ c2_1(a582)
        & ~ c1_1(a582) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a584)
        & c1_1(a584)
        & ~ c3_1(a584) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c0_1(a586)
        & c1_1(a586)
        & ~ c3_1(a586) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c2_1(a589)
        & c3_1(a589)
        & ~ c0_1(a589) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c3_1(a590)
        & ~ c0_1(a590)
        & ~ c1_1(a590) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a591)
        & ~ c2_1(a591)
        & ~ c0_1(a591) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & ~ c0_1(a594)
        & ~ c3_1(a594)
        & ~ c1_1(a594) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & c0_1(a596)
        & ~ c3_1(a596)
        & ~ c2_1(a596) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c1_1(a536)
        & c2_1(a536)
        & c0_1(a536) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & c0_1(a537)
        & ~ c1_1(a537)
        & c3_1(a537) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c2_1(a538)
        & c1_1(a538)
        & c3_1(a538) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c0_1(a541)
        & c1_1(a541)
        & c2_1(a541) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c2_1(a544)
        & ~ c3_1(a544)
        & c1_1(a544) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c2_1(a547)
        & c1_1(a547)
        & c0_1(a547) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c3_1(a549)
        & c2_1(a549)
        & c1_1(a549) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & c3_1(a551)
        & ~ c0_1(a551)
        & c2_1(a551) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c2_1(a555)
        & c3_1(a555)
        & c0_1(a555) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a556)
        & c1_1(a556)
        & c3_1(a556) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c3_1(a557)
        & ~ c1_1(a557)
        & c0_1(a557) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & ~ c3_1(a559)
        & c0_1(a559)
        & c2_1(a559) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & ~ c3_1(a561)
        & ~ c2_1(a561)
        & c0_1(a561) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c3_1(a562)
        & ~ c0_1(a562)
        & c1_1(a562) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & ~ c2_1(a564)
        & c0_1(a564)
        & c1_1(a564) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & ~ c3_1(a566)
        & ~ c2_1(a566)
        & c1_1(a566) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a568)
        & ~ c1_1(a568)
        & c2_1(a568) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c3_1(a574)
        & c0_1(a574)
        & c1_1(a574) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & ~ c2_1(a583)
        & c0_1(a583)
        & c3_1(a583) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & ~ c0_1(a595)
        & c2_1(a595)
        & c1_1(a595) ) )
    & ( ! [X0] :
          ( c1_1(X0)
          | c2_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp33
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp34
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp35
      | ! [X9] :
          ( c3_1(X9)
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( hskp36
      | hskp34
      | hskp3 )
    & ( ! [X12] :
          ( ~ c0_1(X12)
          | c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp37
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c3_1(X14)
          | c0_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp4
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | ~ c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c3_1(X18)
          | c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp38
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c3_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X22] :
          ( c3_1(X22)
          | ~ c1_1(X22)
          | c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp39 )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp7
      | hskp40 )
    & ( ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X27] :
          ( ~ c2_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | hskp38 )
    & ( ! [X29] :
          ( c2_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c1_1(X32)
          | c0_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp9
      | hskp41 )
    & ( ! [X33] :
          ( c1_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp43
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X40] :
          ( ~ c2_1(X40)
          | c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp44
      | hskp11
      | ! [X42] :
          ( c0_1(X42)
          | ~ c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c2_1(X43)
          | c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp45 )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | c0_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | hskp46
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | hskp47 )
    & ( hskp13
      | hskp48
      | ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp49
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c1_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | hskp15 )
    & ( hskp16
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | hskp19
      | hskp50 )
    & ( ! [X59] :
          ( c2_1(X59)
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp20
      | hskp21 )
    & ( ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | hskp22
      | hskp23 )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp34 )
    & ( hskp39
      | hskp24
      | ! [X63] :
          ( c3_1(X63)
          | c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c1_1(X64)
          | ~ c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | hskp25
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | ~ c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp51 )
    & ( ! [X71] :
          ( ~ c3_1(X71)
          | c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp26 )
    & ( hskp6
      | hskp27
      | hskp4 )
    & ( hskp46
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp29
      | ! [X77] :
          ( c2_1(X77)
          | ~ c3_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X78] :
          ( ~ c2_1(X78)
          | c3_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp46 )
    & ( hskp40
      | hskp31
      | hskp52 )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp32
      | ! [X81] :
          ( c3_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 ) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ! [X80,X81] :
      ( ~ c1_1(X80)
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp32
      | c3_1(X81)
      | ~ c1_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp40
    | hskp31
    | hskp52 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ! [X78,X79] :
      ( ~ c2_1(X78)
      | c3_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp46 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X77] :
      ( hskp29
      | c2_1(X77)
      | ~ c3_1(X77)
      | c1_1(X77)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X76,X75] :
      ( c2_1(X75)
      | c0_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c0_1(X76)
      | c2_1(X76)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X73,X74] :
      ( hskp46
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp6
    | hskp27
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X72,X71] :
      ( ~ c3_1(X71)
      | c0_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | c0_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X70,X69] :
      ( c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c0_1(X70)
      | c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp51 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X68,X66,X67] :
      ( ~ c0_1(X66)
      | ~ c3_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | ~ c0_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X65,X64] :
      ( ~ c1_1(X64)
      | ~ c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | hskp25
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ c1_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X63] :
      ( hskp39
      | hskp24
      | c3_1(X63)
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | hskp34 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X60] :
      ( ~ c1_1(X60)
      | c3_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | hskp22
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X58] :
      ( c2_1(X58)
      | ~ c0_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | hskp19
      | hskp50 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ( hskp16
    | hskp17
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X56,X57] :
      ( ~ c2_1(X56)
      | ~ c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X54,X55] :
      ( c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp49
      | c2_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | hskp47 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X48,X47] :
      ( hskp12
      | c1_1(X47)
      | c2_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c2_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X46,X45] :
      ( ~ c2_1(X45)
      | c0_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | hskp46
      | ~ c2_1(X46)
      | ~ c0_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X44,X43] :
      ( c2_1(X43)
      | c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | hskp45 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X42] :
      ( hskp44
      | hskp11
      | c0_1(X42)
      | ~ c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X40,X41] :
      ( hskp10
      | ~ c2_1(X40)
      | c0_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | hskp43
      | c1_1(X39)
      | c2_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X34,X35,X33] :
      ( c1_1(X33)
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X32] :
      ( ~ c1_1(X32)
      | c0_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp9
      | hskp41 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X31,X29,X30] :
      ( c2_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c3_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | c0_1(X31)
      | ~ c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X28,X27] :
      ( ~ c2_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | hskp38 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X24] :
      ( ~ c2_1(X24)
      | c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | hskp7
      | hskp40 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X22,X23] :
      ( c3_1(X22)
      | ~ c1_1(X22)
      | c0_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | hskp39 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | c0_1(X21)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X18,X19] :
      ( c3_1(X18)
      | c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | hskp38
      | c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X16,X17] :
      ( c3_1(X16)
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | ~ ndr1_0
      | c1_1(X17)
      | ~ c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X14,X15] :
      ( c3_1(X14)
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | hskp4
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X12,X13] :
      ( ~ c0_1(X12)
      | c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | hskp37
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ( hskp36
    | hskp34
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X10,X9] :
      ( hskp35
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X8,X7] :
      ( hskp34
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X6,X5] :
      ( hskp33
      | c2_1(X5)
      | c3_1(X5)
      | c0_1(X5)
      | ~ ndr1_0
      | c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X2,X3,X4] :
      ( c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | c2_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c1_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( ~ hskp52
    | c1_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( ~ hskp52
    | c2_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ( ~ hskp51
    | c3_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ( ~ hskp51
    | c0_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ( ~ hskp51
    | ~ c2_1(a583) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ( ~ hskp50
    | c1_1(a574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( ~ hskp50
    | c0_1(a574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ( ~ hskp50
    | ~ c3_1(a574) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp49
    | c2_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp49
    | ~ c1_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp49
    | ~ c0_1(a568) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp47
    | c1_1(a564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp47
    | c0_1(a564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp47
    | ~ c2_1(a564) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp46
    | c1_1(a562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp46
    | ~ c0_1(a562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp46
    | ~ c3_1(a562) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp45
    | ~ c2_1(a561) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp45
    | ~ c3_1(a561) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp44
    | c2_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp44
    | c0_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp44
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp43
    | c0_1(a557) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp43
    | ~ c1_1(a557) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp43
    | c3_1(a557) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp41
    | c0_1(a555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp41
    | c3_1(a555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp41
    | ~ c2_1(a555) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp40
    | c2_1(a551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp40
    | ~ c0_1(a551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp40
    | c3_1(a551) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp39
    | c1_1(a549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp39
    | c2_1(a549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp39
    | c3_1(a549) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp38
    | c0_1(a547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp38
    | c1_1(a547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp38
    | c2_1(a547) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp37
    | c1_1(a544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp37
    | ~ c3_1(a544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp37
    | ~ c2_1(a544) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp36
    | c2_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp36
    | c1_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp36
    | c0_1(a541) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp36
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp35
    | c3_1(a538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp35
    | c1_1(a538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp35
    | c2_1(a538) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp34
    | c3_1(a537) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp34
    | ~ c1_1(a537) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp34
    | c0_1(a537) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp34
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp33
    | c0_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp33
    | c2_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp33
    | c1_1(a536) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp32
    | ~ c2_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp32
    | ~ c3_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp32
    | c0_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp31
    | ~ c1_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp31
    | ~ c3_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp31
    | ~ c0_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp30
    | ~ c0_1(a591) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp30
    | ~ c2_1(a591) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp30
    | c1_1(a591) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp29
    | ~ c1_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp29
    | ~ c0_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp29
    | ~ c3_1(a590) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp28
    | ~ c0_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp28
    | c3_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp28
    | c2_1(a589) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp27
    | ~ c3_1(a586) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp27
    | c1_1(a586) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp27
    | ~ c0_1(a586) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp26
    | ~ c3_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp26
    | c1_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp26
    | c0_1(a584) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp25
    | ~ c1_1(a582) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp25
    | ~ c2_1(a582) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp25
    | ~ c3_1(a582) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp24
    | ~ c3_1(a581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp24
    | ~ c1_1(a581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp24
    | c2_1(a581) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp23
    | ~ c1_1(a578) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp23
    | ~ c0_1(a578) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp23
    | c3_1(a578) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp22
    | ~ c0_1(a577) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp22
    | c1_1(a577) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp22
    | ~ c3_1(a577) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp19
    | ~ c1_1(a573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp19
    | ~ c0_1(a573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp19
    | ~ c2_1(a573) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp18
    | ~ c1_1(a572) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp18
    | c0_1(a572) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp18
    | ~ c3_1(a572) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp17
    | ~ c2_1(a571) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp17
    | c3_1(a571) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp17
    | c0_1(a571) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp16
    | ~ c0_1(a570) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp16
    | c1_1(a570) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp16
    | c3_1(a570) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp15
    | ~ c2_1(a569) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp15
    | ~ c1_1(a569) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp15
    | ~ c0_1(a569) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ( ~ hskp12
    | ~ c2_1(a563) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ( ~ hskp12
    | ~ c0_1(a563) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f216,plain,
    ( ~ hskp12
    | c3_1(a563) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f218,plain,
    ( ~ hskp11
    | ~ c0_1(a560) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f219,plain,
    ( ~ hskp11
    | ~ c3_1(a560) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f220,plain,
    ( ~ hskp11
    | c1_1(a560) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f222,plain,
    ( ~ hskp10
    | ~ c0_1(a558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f223,plain,
    ( ~ hskp10
    | c3_1(a558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f224,plain,
    ( ~ hskp10
    | ~ c1_1(a558) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f226,plain,
    ( ~ hskp9
    | ~ c1_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f227,plain,
    ( ~ hskp9
    | ~ c2_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f228,plain,
    ( ~ hskp9
    | ~ c0_1(a554) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f230,plain,
    ( ~ hskp8
    | ~ c2_1(a552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    ( ~ hskp8
    | ~ c1_1(a552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    ( ~ hskp8
    | ~ c3_1(a552) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f234,plain,
    ( ~ hskp7
    | ~ c1_1(a550) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    ( ~ hskp7
    | c3_1(a550) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f236,plain,
    ( ~ hskp7
    | c0_1(a550) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f238,plain,
    ( ~ hskp6
    | ~ c0_1(a548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f239,plain,
    ( ~ hskp6
    | c3_1(a548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f240,plain,
    ( ~ hskp6
    | ~ c2_1(a548) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f242,plain,
    ( ~ hskp5
    | ~ c1_1(a546) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f243,plain,
    ( ~ hskp5
    | c2_1(a546) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f244,plain,
    ( ~ hskp5
    | ~ c3_1(a546) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f246,plain,
    ( ~ hskp4
    | ~ c0_1(a545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f247,plain,
    ( ~ hskp4
    | c1_1(a545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f248,plain,
    ( ~ hskp4
    | ~ c2_1(a545) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f250,plain,
    ( ~ hskp3
    | ~ c3_1(a543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f251,plain,
    ( ~ hskp3
    | ~ c0_1(a543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f252,plain,
    ( ~ hskp3
    | ~ c1_1(a543) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f253,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f262,plain,
    ( ~ hskp0
    | ~ c2_1(a535) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f263,plain,
    ( ~ hskp0
    | c0_1(a535) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f264,plain,
    ( ~ hskp0
    | c1_1(a535) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f266,plain,
    ! [X80,X81] :
      ( ~ c1_1(X80)
      | c3_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp32
      | c3_1(X81)
      | ~ c1_1(X81)
      | ~ c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f6]) ).

fof(f267,plain,
    ! [X78,X79] :
      ( ~ c2_1(X78)
      | c3_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | hskp46 ),
    inference(duplicate_literal_removal,[],[f8]) ).

fof(f268,plain,
    ! [X76,X75] :
      ( c2_1(X75)
      | c0_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c0_1(X76)
      | c2_1(X76)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f10]) ).

fof(f269,plain,
    ! [X73,X74] :
      ( hskp46
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c1_1(X74)
      | ~ c3_1(X74) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f270,plain,
    ! [X72,X71] :
      ( ~ c3_1(X71)
      | c0_1(X71)
      | c1_1(X71)
      | ~ ndr1_0
      | c0_1(X72)
      | c3_1(X72)
      | ~ c1_1(X72)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f271,plain,
    ! [X70,X69] :
      ( c3_1(X69)
      | c2_1(X69)
      | c1_1(X69)
      | ~ ndr1_0
      | ~ c0_1(X70)
      | c1_1(X70)
      | ~ c3_1(X70)
      | hskp51 ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f272,plain,
    ! [X68,X66,X67] :
      ( ~ c0_1(X66)
      | ~ c3_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c2_1(X67)
      | c3_1(X67)
      | ~ c0_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68) ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f273,plain,
    ! [X65,X64] :
      ( ~ c1_1(X64)
      | ~ c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | hskp25
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ c1_1(X65) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f274,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c0_1(X62)
      | ~ c2_1(X62)
      | hskp34 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f275,plain,
    ! [X56,X57] :
      ( ~ c2_1(X56)
      | ~ c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c1_1(X57)
      | c2_1(X57)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f276,plain,
    ! [X54,X55] :
      ( c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp49
      | c2_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f278,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c3_1(X50)
      | hskp47 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f279,plain,
    ! [X48,X47] :
      ( hskp12
      | c1_1(X47)
      | c2_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c2_1(X48) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f280,plain,
    ! [X46,X45] :
      ( ~ c2_1(X45)
      | c0_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | hskp46
      | ~ c2_1(X46)
      | ~ c0_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f281,plain,
    ! [X44,X43] :
      ( c2_1(X43)
      | c0_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | hskp45 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f282,plain,
    ! [X40,X41] :
      ( hskp10
      | ~ c2_1(X40)
      | c0_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c3_1(X41)
      | ~ c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f283,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | hskp43
      | c1_1(X39)
      | c2_1(X39)
      | ~ c0_1(X39) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f285,plain,
    ! [X34,X35,X33] :
      ( c1_1(X33)
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ c1_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f286,plain,
    ! [X31,X29,X30] :
      ( c2_1(X29)
      | ~ c1_1(X29)
      | ~ c0_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c3_1(X30)
      | c1_1(X30)
      | c0_1(X31)
      | ~ c2_1(X31)
      | c3_1(X31) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f287,plain,
    ! [X28,X27] :
      ( ~ c2_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | ~ c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | hskp38 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f288,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f289,plain,
    ! [X22,X23] :
      ( c3_1(X22)
      | ~ c1_1(X22)
      | c0_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ c1_1(X23)
      | hskp39 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f290,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | c0_1(X21)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f291,plain,
    ! [X18,X19] :
      ( c3_1(X18)
      | c1_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | hskp38
      | c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f292,plain,
    ! [X16,X17] :
      ( c3_1(X16)
      | ~ c2_1(X16)
      | ~ c1_1(X16)
      | ~ ndr1_0
      | c1_1(X17)
      | ~ c3_1(X17)
      | c2_1(X17)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f293,plain,
    ! [X14,X15] :
      ( c3_1(X14)
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ ndr1_0
      | hskp4
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ c1_1(X15) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f294,plain,
    ! [X12,X13] :
      ( ~ c0_1(X12)
      | c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | hskp37
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ c0_1(X13) ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f295,plain,
    ! [X10,X9] :
      ( hskp35
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ c1_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | c1_1(X10)
      | c2_1(X10) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f296,plain,
    ! [X8,X7] :
      ( hskp34
      | ~ c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c2_1(X8)
      | c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f297,plain,
    ! [X6,X5] :
      ( hskp33
      | c2_1(X5)
      | c3_1(X5)
      | c0_1(X5)
      | ~ ndr1_0
      | c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f298,plain,
    ! [X2,X3,X4] :
      ( c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0
      | c2_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ~ c0_1(X4)
      | ~ c1_1(X4)
      | ~ c2_1(X4) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f301,definition,
    ( spl0_1
  <=> ! [X81] :
        ( c3_1(X81)
        | ~ c0_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f302,plain,
    ( ! [X81] :
        ( ~ c0_1(X81)
        | c3_1(X81)
        | ~ c1_1(X81) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f304,definition,
    ( spl0_2
  <=> hskp32 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f310,definition,
    ( spl0_4
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | ~ c2_1(X80)
        | c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c2_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f266,f310,f307,f304,f301]) ).

fof(f314,definition,
    ( spl0_5
  <=> hskp52 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_6
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f320,definition,
    ( spl0_7
  <=> hskp40 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f322,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f7,f320,f317,f314]) ).

fof(f324,definition,
    ( spl0_8
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_9
  <=> ! [X79] :
        ( ~ c1_1(X79)
        | ~ c3_1(X79)
        | ~ c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X79] :
        ( ~ c3_1(X79)
        | ~ c1_1(X79)
        | ~ c2_1(X79) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f330,definition,
    ( spl0_10
  <=> ! [X78] :
        ( ~ c2_1(X78)
        | c0_1(X78)
        | c3_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f331,plain,
    ( ! [X78] :
        ( c0_1(X78)
        | ~ c2_1(X78)
        | c3_1(X78) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f332,plain,
    ( spl0_8
    | spl0_9
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f267,f330,f307,f327,f324]) ).

fof(f334,definition,
    ( spl0_11
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_12
  <=> ! [X77] :
        ( c2_1(X77)
        | c1_1(X77)
        | ~ c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c1_1(X77)
        | c2_1(X77) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f340,definition,
    ( spl0_13
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f342,plain,
    ( spl0_11
    | ~ spl0_3
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f9,f340,f337,f307,f334]) ).

fof(f344,definition,
    ( spl0_14
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f347,definition,
    ( spl0_15
  <=> ! [X76] :
        ( c1_1(X76)
        | c2_1(X76)
        | c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X76] :
        ( c0_1(X76)
        | c2_1(X76)
        | c1_1(X76) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f268,f347,f307,f347,f344]) ).

fof(f351,definition,
    ( spl0_16
  <=> ! [X74] :
        ( c2_1(X74)
        | ~ c3_1(X74)
        | ~ c1_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c2_1(X74)
        | ~ c1_1(X74) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f354,definition,
    ( spl0_17
  <=> ! [X73] :
        ( ~ c3_1(X73)
        | c0_1(X73)
        | c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X73] :
        ( c0_1(X73)
        | ~ c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_16
    | ~ spl0_3
    | spl0_17
    | spl0_8 ),
    inference(avatar_split_clause,[],[f269,f324,f354,f307,f351]) ).

fof(f358,definition,
    ( spl0_18
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_19
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f364,definition,
    ( spl0_20
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f366,plain,
    ( spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f12,f364,f361,f358]) ).

fof(f368,definition,
    ( spl0_21
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_22
  <=> ! [X72] :
        ( c0_1(X72)
        | ~ c1_1(X72)
        | c3_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X72] :
        ( c0_1(X72)
        | ~ c1_1(X72)
        | c3_1(X72) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f374,definition,
    ( spl0_23
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | c1_1(X71)
        | c0_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X71] :
        ( c0_1(X71)
        | c1_1(X71)
        | ~ c3_1(X71) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f270,f374,f307,f371,f368]) ).

fof(f378,definition,
    ( spl0_24
  <=> hskp51 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f381,definition,
    ( spl0_25
  <=> ! [X70] :
        ( ~ c0_1(X70)
        | ~ c3_1(X70)
        | c1_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X70] :
        ( ~ c0_1(X70)
        | ~ c3_1(X70)
        | c1_1(X70) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f384,definition,
    ( spl0_26
  <=> ! [X69] :
        ( c3_1(X69)
        | c1_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c1_1(X69)
        | c2_1(X69) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f386,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f271,f384,f307,f381,f378]) ).

fof(f388,definition,
    ( spl0_27
  <=> ! [X68] :
        ( ~ c0_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f391,definition,
    ( spl0_28
  <=> ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | c1_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f393,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_3
    | spl0_25 ),
    inference(avatar_split_clause,[],[f272,f381,f307,f391,f388]) ).

fof(f395,definition,
    ( spl0_29
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f397,plain,
    ( spl0_9
    | spl0_29
    | ~ spl0_3
    | spl0_16 ),
    inference(avatar_split_clause,[],[f273,f351,f307,f395,f327]) ).

fof(f399,definition,
    ( spl0_30
  <=> ! [X63] :
        ( c3_1(X63)
        | ~ c0_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f400,plain,
    ( ! [X63] :
        ( ~ c0_1(X63)
        | c3_1(X63)
        | c2_1(X63) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f402,definition,
    ( spl0_31
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f405,definition,
    ( spl0_32
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f407,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(avatar_split_clause,[],[f17,f405,f402,f399,f307]) ).

fof(f409,definition,
    ( spl0_33
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_34
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | ~ c2_1(X62)
        | ~ c0_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X62] :
        ( ~ c0_1(X62)
        | ~ c2_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f414,plain,
    ( spl0_33
    | spl0_34
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f274,f371,f307,f412,f409]) ).

fof(f416,definition,
    ( spl0_35
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f419,definition,
    ( spl0_36
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f421,plain,
    ( spl0_35
    | spl0_36
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f19,f301,f307,f419,f416]) ).

fof(f430,definition,
    ( spl0_39
  <=> hskp50 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f433,definition,
    ( spl0_40
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f436,definition,
    ( spl0_41
  <=> ! [X58] :
        ( c2_1(X58)
        | c1_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c1_1(X58)
        | c2_1(X58) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_41 ),
    inference(avatar_split_clause,[],[f21,f436,f307,f433,f430]) ).

fof(f440,definition,
    ( spl0_42
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f443,definition,
    ( spl0_43
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_44
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f448,plain,
    ( spl0_42
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f22,f446,f443,f440]) ).

fof(f450,definition,
    ( spl0_45
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f453,definition,
    ( spl0_46
  <=> ! [X57] :
        ( c3_1(X57)
        | c2_1(X57)
        | ~ c1_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X57] :
        ( c3_1(X57)
        | c2_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f456,definition,
    ( spl0_47
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c1_1(X56)
        | ~ c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c1_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( spl0_45
    | spl0_46
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f275,f456,f307,f453,f450]) ).

fof(f460,definition,
    ( spl0_48
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f462,plain,
    ( spl0_30
    | spl0_48
    | ~ spl0_3
    | spl0_27 ),
    inference(avatar_split_clause,[],[f276,f388,f307,f460,f399]) ).

fof(f471,definition,
    ( spl0_51
  <=> ! [X51] :
        ( ~ c2_1(X51)
        | c0_1(X51)
        | c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c2_1(X51)
        | c1_1(X51) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f481,definition,
    ( spl0_54
  <=> hskp47 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f484,definition,
    ( spl0_55
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_54
    | spl0_4
    | ~ spl0_3
    | spl0_55 ),
    inference(avatar_split_clause,[],[f278,f484,f307,f310,f481]) ).

fof(f488,definition,
    ( spl0_56
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f490,plain,
    ( spl0_16
    | ~ spl0_3
    | spl0_26
    | spl0_56 ),
    inference(avatar_split_clause,[],[f279,f488,f384,f307,f351]) ).

fof(f492,definition,
    ( spl0_57
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c1_1(X46)
        | ~ c0_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f493,plain,
    ( ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | ~ c2_1(X46) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f492]) ).

fof(f495,definition,
    ( spl0_58
  <=> ! [X45] :
        ( ~ c2_1(X45)
        | ~ c1_1(X45)
        | c0_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( spl0_57
    | spl0_8
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f280,f495,f307,f324,f492]) ).

fof(f499,definition,
    ( spl0_59
  <=> hskp45 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f502,definition,
    ( spl0_60
  <=> ! [X44] :
        ( ~ c0_1(X44)
        | ~ c1_1(X44)
        | c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X44] :
        ( ~ c0_1(X44)
        | ~ c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,definition,
    ( spl0_61
  <=> ! [X43] :
        ( c2_1(X43)
        | c3_1(X43)
        | c0_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X43] :
        ( c0_1(X43)
        | c3_1(X43)
        | c2_1(X43) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_59
    | spl0_60
    | ~ spl0_3
    | spl0_61 ),
    inference(avatar_split_clause,[],[f281,f505,f307,f502,f499]) ).

fof(f509,definition,
    ( spl0_62
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f512,definition,
    ( spl0_63
  <=> hskp44 ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f514,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f31,f512,f509,f354,f307]) ).

fof(f516,definition,
    ( spl0_64
  <=> ! [X41] :
        ( ~ c0_1(X41)
        | ~ c2_1(X41)
        | ~ c3_1(X41) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X41] :
        ( ~ c0_1(X41)
        | ~ c2_1(X41)
        | ~ c3_1(X41) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f519,definition,
    ( spl0_65
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f521,plain,
    ( spl0_64
    | ~ spl0_3
    | spl0_58
    | spl0_65 ),
    inference(avatar_split_clause,[],[f282,f519,f495,f307,f516]) ).

fof(f523,definition,
    ( spl0_66
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f525,plain,
    ( spl0_41
    | spl0_66
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f283,f495,f307,f523,f436]) ).

fof(f530,plain,
    ( spl0_16
    | spl0_26
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f285,f456,f307,f384,f351]) ).

fof(f532,definition,
    ( spl0_68
  <=> hskp41 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f535,definition,
    ( spl0_69
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f538,definition,
    ( spl0_70
  <=> ! [X32] :
        ( ~ c1_1(X32)
        | ~ c3_1(X32)
        | c0_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | ~ c1_1(X32) )
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( spl0_68
    | spl0_69
    | ~ spl0_3
    | spl0_70 ),
    inference(avatar_split_clause,[],[f36,f538,f307,f535,f532]) ).

fof(f541,plain,
    ( spl0_10
    | spl0_23
    | ~ spl0_3
    | spl0_60 ),
    inference(avatar_split_clause,[],[f286,f502,f307,f374,f330]) ).

fof(f543,definition,
    ( spl0_71
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_71
    | spl0_9
    | ~ spl0_3
    | spl0_47 ),
    inference(avatar_split_clause,[],[f287,f456,f307,f327,f543]) ).

fof(f547,definition,
    ( spl0_72
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_72
    | spl0_25
    | ~ spl0_3
    | spl0_51 ),
    inference(avatar_split_clause,[],[f288,f471,f307,f381,f547]) ).

fof(f551,definition,
    ( spl0_73
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f553,plain,
    ( spl0_7
    | spl0_73
    | ~ spl0_3
    | spl0_57 ),
    inference(avatar_split_clause,[],[f40,f492,f307,f551,f320]) ).

fof(f554,plain,
    ( spl0_32
    | spl0_16
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f289,f371,f307,f351,f405]) ).

fof(f555,plain,
    ( spl0_20
    | spl0_70
    | ~ spl0_3
    | spl0_15 ),
    inference(avatar_split_clause,[],[f290,f347,f307,f538,f364]) ).

fof(f556,plain,
    ( spl0_17
    | spl0_71
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f291,f384,f307,f543,f354]) ).

fof(f558,definition,
    ( spl0_74
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f560,plain,
    ( spl0_74
    | spl0_12
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f292,f310,f307,f337,f558]) ).

fof(f561,plain,
    ( spl0_9
    | spl0_18
    | ~ spl0_3
    | spl0_22 ),
    inference(avatar_split_clause,[],[f293,f371,f307,f358,f327]) ).

fof(f563,definition,
    ( spl0_75
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f566,definition,
    ( spl0_76
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | c3_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f567,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c3_1(X12)
        | c1_1(X12) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f568,plain,
    ( spl0_57
    | spl0_75
    | ~ spl0_3
    | spl0_76 ),
    inference(avatar_split_clause,[],[f294,f566,f307,f563,f492]) ).

fof(f570,definition,
    ( spl0_77
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f573,definition,
    ( spl0_78
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f575,plain,
    ( spl0_77
    | spl0_33
    | spl0_78 ),
    inference(avatar_split_clause,[],[f47,f573,f409,f570]) ).

fof(f587,definition,
    ( spl0_82
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f589,plain,
    ( spl0_41
    | ~ spl0_3
    | spl0_4
    | spl0_82 ),
    inference(avatar_split_clause,[],[f295,f587,f310,f307,f436]) ).

fof(f590,plain,
    ( spl0_26
    | ~ spl0_3
    | spl0_9
    | spl0_33 ),
    inference(avatar_split_clause,[],[f296,f409,f327,f307,f384]) ).

fof(f592,definition,
    ( spl0_83
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f594,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_61
    | spl0_83 ),
    inference(avatar_split_clause,[],[f297,f592,f505,f307,f301]) ).

fof(f595,plain,
    ( spl0_34
    | spl0_12
    | ~ spl0_3
    | spl0_60 ),
    inference(avatar_split_clause,[],[f298,f502,f307,f337,f412]) ).

fof(f597,definition,
    ( spl0_84
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f599,plain,
    ( spl0_84
    | spl0_34
    | ~ spl0_3
    | spl0_26 ),
    inference(avatar_split_clause,[],[f299,f384,f307,f412,f597]) ).

fof(f601,definition,
    ( spl0_85
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f604,plain,
    ( spl0_85
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f54,f314,f601]) ).

fof(f606,definition,
    ( spl0_86
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f607,plain,
    ( c2_1(a595)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( spl0_86
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f55,f314,f606]) ).

fof(f616,definition,
    ( spl0_88
  <=> c3_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f617,plain,
    ( c3_1(a583)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f619,plain,
    ( spl0_88
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f58,f378,f616]) ).

fof(f621,definition,
    ( spl0_89
  <=> c0_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f622,plain,
    ( c0_1(a583)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( spl0_89
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f59,f378,f621]) ).

fof(f625,definition,
    ( spl0_90
  <=> c2_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ spl0_90
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f60,f378,f625]) ).

fof(f630,definition,
    ( spl0_91
  <=> c1_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_91
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f62,f430,f630]) ).

fof(f635,definition,
    ( spl0_92
  <=> c0_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f636,plain,
    ( c0_1(a574)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f637,plain,
    ( spl0_92
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f63,f430,f635]) ).

fof(f639,definition,
    ( spl0_93
  <=> c3_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ c3_1(a574)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( ~ spl0_93
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f64,f430,f639]) ).

fof(f644,definition,
    ( spl0_94
  <=> c2_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f647,plain,
    ( spl0_94
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f66,f460,f644]) ).

fof(f649,definition,
    ( spl0_95
  <=> c1_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ spl0_95
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f67,f460,f649]) ).

fof(f653,definition,
    ( spl0_96
  <=> c0_1(a568) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c0_1(a568)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( ~ spl0_96
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f68,f460,f653]) ).

fof(f672,definition,
    ( spl0_100
  <=> c1_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_100
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f74,f481,f672]) ).

fof(f677,definition,
    ( spl0_101
  <=> c0_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f678,plain,
    ( c0_1(a564)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( spl0_101
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f75,f481,f677]) ).

fof(f681,definition,
    ( spl0_102
  <=> c2_1(a564) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ spl0_102
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f76,f481,f681]) ).

fof(f686,definition,
    ( spl0_103
  <=> c1_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f689,plain,
    ( spl0_103
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f78,f324,f686]) ).

fof(f691,definition,
    ( spl0_104
  <=> c0_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ c0_1(a562)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( ~ spl0_104
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f79,f324,f691]) ).

fof(f695,definition,
    ( spl0_105
  <=> c3_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ c3_1(a562)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( ~ spl0_105
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f80,f324,f695]) ).

fof(f705,definition,
    ( spl0_107
  <=> c2_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ spl0_107
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f83,f499,f705]) ).

fof(f709,definition,
    ( spl0_108
  <=> c3_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f710,plain,
    ( ~ c3_1(a561)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( ~ spl0_108
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f84,f499,f709]) ).

fof(f714,definition,
    ( spl0_109
  <=> c2_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f717,plain,
    ( spl0_109
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f86,f512,f714]) ).

fof(f719,definition,
    ( spl0_110
  <=> c0_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f720,plain,
    ( c0_1(a559)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_110
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f87,f512,f719]) ).

fof(f723,definition,
    ( spl0_111
  <=> c3_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ c3_1(a559)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( ~ spl0_111
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f88,f512,f723]) ).

fof(f728,definition,
    ( spl0_112
  <=> c0_1(a557) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f729,plain,
    ( c0_1(a557)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( spl0_112
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f90,f523,f728]) ).

fof(f733,definition,
    ( spl0_113
  <=> c1_1(a557) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_113
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f91,f523,f733]) ).

fof(f737,definition,
    ( spl0_114
  <=> c3_1(a557) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f739,plain,
    ( spl0_114
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f92,f523,f737]) ).

fof(f756,definition,
    ( spl0_118
  <=> c0_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f757,plain,
    ( c0_1(a555)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( spl0_118
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f98,f532,f756]) ).

fof(f761,definition,
    ( spl0_119
  <=> c3_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f762,plain,
    ( c3_1(a555)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f763,plain,
    ( spl0_119
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f99,f532,f761]) ).

fof(f765,definition,
    ( spl0_120
  <=> c2_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ spl0_120
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f100,f532,f765]) ).

fof(f770,definition,
    ( spl0_121
  <=> c2_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_121
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f102,f320,f770]) ).

fof(f775,definition,
    ( spl0_122
  <=> c0_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f776,plain,
    ( ~ c0_1(a551)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( ~ spl0_122
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f103,f320,f775]) ).

fof(f779,definition,
    ( spl0_123
  <=> c3_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f780,plain,
    ( c3_1(a551)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f781,plain,
    ( spl0_123
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f104,f320,f779]) ).

fof(f784,definition,
    ( spl0_124
  <=> c1_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_124
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f106,f405,f784]) ).

fof(f789,definition,
    ( spl0_125
  <=> c2_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f791,plain,
    ( spl0_125
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f107,f405,f789]) ).

fof(f793,definition,
    ( spl0_126
  <=> c3_1(a549) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f794,plain,
    ( c3_1(a549)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f795,plain,
    ( spl0_126
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f108,f405,f793]) ).

fof(f798,definition,
    ( spl0_127
  <=> c0_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f799,plain,
    ( c0_1(a547)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f801,plain,
    ( spl0_127
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f110,f543,f798]) ).

fof(f803,definition,
    ( spl0_128
  <=> c1_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_128
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f111,f543,f803]) ).

fof(f807,definition,
    ( spl0_129
  <=> c2_1(a547) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f808,plain,
    ( c2_1(a547)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f809,plain,
    ( spl0_129
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f112,f543,f807]) ).

fof(f812,definition,
    ( spl0_130
  <=> c1_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_130
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f114,f563,f812]) ).

fof(f817,definition,
    ( spl0_131
  <=> c3_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ c3_1(a544)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f819,plain,
    ( ~ spl0_131
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f115,f563,f817]) ).

fof(f821,definition,
    ( spl0_132
  <=> c2_1(a544) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ spl0_132
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f116,f563,f821]) ).

fof(f826,definition,
    ( spl0_133
  <=> c2_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f827,plain,
    ( c2_1(a541)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_133
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f118,f573,f826]) ).

fof(f831,definition,
    ( spl0_134
  <=> c1_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f833,plain,
    ( spl0_134
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f119,f573,f831]) ).

fof(f835,definition,
    ( spl0_135
  <=> c0_1(a541) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f836,plain,
    ( c0_1(a541)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f837,plain,
    ( spl0_135
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f120,f573,f835]) ).

fof(f838,plain,
    ( spl0_3
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f121,f573,f307]) ).

fof(f840,definition,
    ( spl0_136
  <=> c3_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f841,plain,
    ( c3_1(a538)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( spl0_136
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f122,f587,f840]) ).

fof(f845,definition,
    ( spl0_137
  <=> c1_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f847,plain,
    ( spl0_137
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f123,f587,f845]) ).

fof(f849,definition,
    ( spl0_138
  <=> c2_1(a538) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f851,plain,
    ( spl0_138
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f124,f587,f849]) ).

fof(f854,definition,
    ( spl0_139
  <=> c3_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f855,plain,
    ( c3_1(a537)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( spl0_139
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f126,f409,f854]) ).

fof(f859,definition,
    ( spl0_140
  <=> c1_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_140
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f127,f409,f859]) ).

fof(f863,definition,
    ( spl0_141
  <=> c0_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f864,plain,
    ( c0_1(a537)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f865,plain,
    ( spl0_141
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f128,f409,f863]) ).

fof(f866,plain,
    ( spl0_3
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f129,f409,f307]) ).

fof(f868,definition,
    ( spl0_142
  <=> c0_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f869,plain,
    ( c0_1(a536)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f871,plain,
    ( spl0_142
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f130,f592,f868]) ).

fof(f873,definition,
    ( spl0_143
  <=> c2_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f875,plain,
    ( spl0_143
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f131,f592,f873]) ).

fof(f877,definition,
    ( spl0_144
  <=> c1_1(a536) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_144
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f132,f592,f877]) ).

fof(f882,definition,
    ( spl0_145
  <=> c2_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_145
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f304,f882]) ).

fof(f887,definition,
    ( spl0_146
  <=> c3_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ c3_1(a596)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f889,plain,
    ( ~ spl0_146
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f135,f304,f887]) ).

fof(f891,definition,
    ( spl0_147
  <=> c0_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f892,plain,
    ( c0_1(a596)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( spl0_147
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f136,f304,f891]) ).

fof(f896,definition,
    ( spl0_148
  <=> c1_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_148
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f138,f317,f896]) ).

fof(f901,definition,
    ( spl0_149
  <=> c3_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f902,plain,
    ( ~ c3_1(a594)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f903,plain,
    ( ~ spl0_149
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f139,f317,f901]) ).

fof(f905,definition,
    ( spl0_150
  <=> c0_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c0_1(a594)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f907,plain,
    ( ~ spl0_150
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f140,f317,f905]) ).

fof(f910,definition,
    ( spl0_151
  <=> c0_1(a591) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c0_1(a591)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f913,plain,
    ( ~ spl0_151
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f142,f334,f910]) ).

fof(f915,definition,
    ( spl0_152
  <=> c2_1(a591) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ spl0_152
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f143,f334,f915]) ).

fof(f919,definition,
    ( spl0_153
  <=> c1_1(a591) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_153
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f144,f334,f919]) ).

fof(f924,definition,
    ( spl0_154
  <=> c1_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ spl0_154
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f146,f340,f924]) ).

fof(f929,definition,
    ( spl0_155
  <=> c0_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f930,plain,
    ( ~ c0_1(a590)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f931,plain,
    ( ~ spl0_155
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f147,f340,f929]) ).

fof(f933,definition,
    ( spl0_156
  <=> c3_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ c3_1(a590)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f935,plain,
    ( ~ spl0_156
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f148,f340,f933]) ).

fof(f938,definition,
    ( spl0_157
  <=> c0_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f939,plain,
    ( ~ c0_1(a589)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f941,plain,
    ( ~ spl0_157
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f150,f344,f938]) ).

fof(f943,definition,
    ( spl0_158
  <=> c3_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f944,plain,
    ( c3_1(a589)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f945,plain,
    ( spl0_158
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f151,f344,f943]) ).

fof(f947,definition,
    ( spl0_159
  <=> c2_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f948,plain,
    ( c2_1(a589)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f949,plain,
    ( spl0_159
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f152,f344,f947]) ).

fof(f952,definition,
    ( spl0_160
  <=> c3_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ c3_1(a586)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f955,plain,
    ( ~ spl0_160
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f154,f361,f952]) ).

fof(f957,definition,
    ( spl0_161
  <=> c1_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f959,plain,
    ( spl0_161
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f155,f361,f957]) ).

fof(f961,definition,
    ( spl0_162
  <=> c0_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ c0_1(a586)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f963,plain,
    ( ~ spl0_162
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f156,f361,f961]) ).

fof(f966,definition,
    ( spl0_163
  <=> c3_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ c3_1(a584)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_163
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f158,f368,f966]) ).

fof(f971,definition,
    ( spl0_164
  <=> c1_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f973,plain,
    ( spl0_164
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f159,f368,f971]) ).

fof(f975,definition,
    ( spl0_165
  <=> c0_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f976,plain,
    ( c0_1(a584)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f975]) ).

fof(f977,plain,
    ( spl0_165
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f160,f368,f975]) ).

fof(f980,definition,
    ( spl0_166
  <=> c1_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f983,plain,
    ( ~ spl0_166
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f162,f395,f980]) ).

fof(f985,definition,
    ( spl0_167
  <=> c2_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f987,plain,
    ( ~ spl0_167
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f163,f395,f985]) ).

fof(f989,definition,
    ( spl0_168
  <=> c3_1(a582) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ c3_1(a582)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f991,plain,
    ( ~ spl0_168
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f164,f395,f989]) ).

fof(f994,definition,
    ( spl0_169
  <=> c3_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f995,plain,
    ( ~ c3_1(a581)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f994]) ).

fof(f997,plain,
    ( ~ spl0_169
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f166,f402,f994]) ).

fof(f999,definition,
    ( spl0_170
  <=> c1_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ spl0_170
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f167,f402,f999]) ).

fof(f1003,definition,
    ( spl0_171
  <=> c2_1(a581) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1005,plain,
    ( spl0_171
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f168,f402,f1003]) ).

fof(f1008,definition,
    ( spl0_172
  <=> c1_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ spl0_172
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f170,f416,f1008]) ).

fof(f1013,definition,
    ( spl0_173
  <=> c0_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1014,plain,
    ( ~ c0_1(a578)
    | spl0_173 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1015,plain,
    ( ~ spl0_173
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f171,f416,f1013]) ).

fof(f1017,definition,
    ( spl0_174
  <=> c3_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1018,plain,
    ( c3_1(a578)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1017]) ).

fof(f1019,plain,
    ( spl0_174
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f172,f416,f1017]) ).

fof(f1022,definition,
    ( spl0_175
  <=> c0_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ c0_1(a577)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f1022]) ).

fof(f1025,plain,
    ( ~ spl0_175
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f174,f419,f1022]) ).

fof(f1027,definition,
    ( spl0_176
  <=> c1_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1029,plain,
    ( spl0_176
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f175,f419,f1027]) ).

fof(f1031,definition,
    ( spl0_177
  <=> c3_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1032,plain,
    ( ~ c3_1(a577)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f1033,plain,
    ( ~ spl0_177
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f176,f419,f1031]) ).

fof(f1064,definition,
    ( spl0_184
  <=> c1_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1067,plain,
    ( ~ spl0_184
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f186,f433,f1064]) ).

fof(f1069,definition,
    ( spl0_185
  <=> c0_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1070,plain,
    ( ~ c0_1(a573)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1071,plain,
    ( ~ spl0_185
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f187,f433,f1069]) ).

fof(f1073,definition,
    ( spl0_186
  <=> c2_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ spl0_186
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f188,f433,f1073]) ).

fof(f1078,definition,
    ( spl0_187
  <=> c1_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ spl0_187
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f190,f440,f1078]) ).

fof(f1083,definition,
    ( spl0_188
  <=> c0_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1084,plain,
    ( c0_1(a572)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1085,plain,
    ( spl0_188
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f191,f440,f1083]) ).

fof(f1087,definition,
    ( spl0_189
  <=> c3_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1088,plain,
    ( ~ c3_1(a572)
    | spl0_189 ),
    inference(avatar_component_clause,[],[f1087]) ).

fof(f1089,plain,
    ( ~ spl0_189
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f192,f440,f1087]) ).

fof(f1092,definition,
    ( spl0_190
  <=> c2_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1095,plain,
    ( ~ spl0_190
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f194,f443,f1092]) ).

fof(f1097,definition,
    ( spl0_191
  <=> c3_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

fof(f1098,plain,
    ( c3_1(a571)
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f1097]) ).

fof(f1099,plain,
    ( spl0_191
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f195,f443,f1097]) ).

fof(f1101,definition,
    ( spl0_192
  <=> c0_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

fof(f1102,plain,
    ( c0_1(a571)
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1103,plain,
    ( spl0_192
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f196,f443,f1101]) ).

fof(f1106,definition,
    ( spl0_193
  <=> c0_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

fof(f1107,plain,
    ( ~ c0_1(a570)
    | spl0_193 ),
    inference(avatar_component_clause,[],[f1106]) ).

fof(f1109,plain,
    ( ~ spl0_193
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f198,f446,f1106]) ).

fof(f1111,definition,
    ( spl0_194
  <=> c1_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

fof(f1113,plain,
    ( spl0_194
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f199,f446,f1111]) ).

fof(f1115,definition,
    ( spl0_195
  <=> c3_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

fof(f1116,plain,
    ( c3_1(a570)
    | ~ spl0_195 ),
    inference(avatar_component_clause,[],[f1115]) ).

fof(f1117,plain,
    ( spl0_195
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f200,f446,f1115]) ).

fof(f1120,definition,
    ( spl0_196
  <=> c2_1(a569) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ spl0_196
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f202,f450,f1120]) ).

fof(f1125,definition,
    ( spl0_197
  <=> c1_1(a569) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

fof(f1127,plain,
    ( ~ spl0_197
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f203,f450,f1125]) ).

fof(f1129,definition,
    ( spl0_198
  <=> c0_1(a569) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ c0_1(a569)
    | spl0_198 ),
    inference(avatar_component_clause,[],[f1129]) ).

fof(f1131,plain,
    ( ~ spl0_198
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f204,f450,f1129]) ).

fof(f1162,definition,
    ( spl0_205
  <=> c2_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1165,plain,
    ( ~ spl0_205
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f214,f488,f1162]) ).

fof(f1167,definition,
    ( spl0_206
  <=> c0_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1168,plain,
    ( ~ c0_1(a563)
    | spl0_206 ),
    inference(avatar_component_clause,[],[f1167]) ).

fof(f1169,plain,
    ( ~ spl0_206
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f215,f488,f1167]) ).

fof(f1171,definition,
    ( spl0_207
  <=> c3_1(a563) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1173,plain,
    ( spl0_207
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f216,f488,f1171]) ).

fof(f1176,definition,
    ( spl0_208
  <=> c0_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1177,plain,
    ( ~ c0_1(a560)
    | spl0_208 ),
    inference(avatar_component_clause,[],[f1176]) ).

fof(f1179,plain,
    ( ~ spl0_208
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f218,f509,f1176]) ).

fof(f1181,definition,
    ( spl0_209
  <=> c3_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1182,plain,
    ( ~ c3_1(a560)
    | spl0_209 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1183,plain,
    ( ~ spl0_209
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f219,f509,f1181]) ).

fof(f1185,definition,
    ( spl0_210
  <=> c1_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1187,plain,
    ( spl0_210
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f220,f509,f1185]) ).

fof(f1190,definition,
    ( spl0_211
  <=> c0_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1191,plain,
    ( ~ c0_1(a558)
    | spl0_211 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1193,plain,
    ( ~ spl0_211
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f222,f519,f1190]) ).

fof(f1195,definition,
    ( spl0_212
  <=> c3_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1197,plain,
    ( spl0_212
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f223,f519,f1195]) ).

fof(f1199,definition,
    ( spl0_213
  <=> c1_1(a558) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1201,plain,
    ( ~ spl0_213
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f224,f519,f1199]) ).

fof(f1204,definition,
    ( spl0_214
  <=> c1_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1207,plain,
    ( ~ spl0_214
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f226,f535,f1204]) ).

fof(f1209,definition,
    ( spl0_215
  <=> c2_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1211,plain,
    ( ~ spl0_215
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f227,f535,f1209]) ).

fof(f1213,definition,
    ( spl0_216
  <=> c0_1(a554) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1214,plain,
    ( ~ c0_1(a554)
    | spl0_216 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1215,plain,
    ( ~ spl0_216
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f228,f535,f1213]) ).

fof(f1218,definition,
    ( spl0_217
  <=> c2_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1221,plain,
    ( ~ spl0_217
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f230,f547,f1218]) ).

fof(f1223,definition,
    ( spl0_218
  <=> c1_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1225,plain,
    ( ~ spl0_218
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f231,f547,f1223]) ).

fof(f1227,definition,
    ( spl0_219
  <=> c3_1(a552) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1228,plain,
    ( ~ c3_1(a552)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1229,plain,
    ( ~ spl0_219
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f232,f547,f1227]) ).

fof(f1232,definition,
    ( spl0_220
  <=> c1_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1235,plain,
    ( ~ spl0_220
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f234,f551,f1232]) ).

fof(f1237,definition,
    ( spl0_221
  <=> c3_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1238,plain,
    ( c3_1(a550)
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f1237]) ).

fof(f1239,plain,
    ( spl0_221
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f235,f551,f1237]) ).

fof(f1241,definition,
    ( spl0_222
  <=> c0_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1242,plain,
    ( c0_1(a550)
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f1241]) ).

fof(f1243,plain,
    ( spl0_222
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f236,f551,f1241]) ).

fof(f1246,definition,
    ( spl0_223
  <=> c0_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1247,plain,
    ( ~ c0_1(a548)
    | spl0_223 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1249,plain,
    ( ~ spl0_223
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f238,f364,f1246]) ).

fof(f1251,definition,
    ( spl0_224
  <=> c3_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1252,plain,
    ( c3_1(a548)
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1253,plain,
    ( spl0_224
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f239,f364,f1251]) ).

fof(f1255,definition,
    ( spl0_225
  <=> c2_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1257,plain,
    ( ~ spl0_225
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f240,f364,f1255]) ).

fof(f1260,definition,
    ( spl0_226
  <=> c1_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

fof(f1263,plain,
    ( ~ spl0_226
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f242,f558,f1260]) ).

fof(f1265,definition,
    ( spl0_227
  <=> c2_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1267,plain,
    ( spl0_227
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f243,f558,f1265]) ).

fof(f1269,definition,
    ( spl0_228
  <=> c3_1(a546) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1270,plain,
    ( ~ c3_1(a546)
    | spl0_228 ),
    inference(avatar_component_clause,[],[f1269]) ).

fof(f1271,plain,
    ( ~ spl0_228
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f244,f558,f1269]) ).

fof(f1274,definition,
    ( spl0_229
  <=> c0_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).

fof(f1275,plain,
    ( ~ c0_1(a545)
    | spl0_229 ),
    inference(avatar_component_clause,[],[f1274]) ).

fof(f1277,plain,
    ( ~ spl0_229
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f246,f358,f1274]) ).

fof(f1279,definition,
    ( spl0_230
  <=> c1_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1281,plain,
    ( spl0_230
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f247,f358,f1279]) ).

fof(f1283,definition,
    ( spl0_231
  <=> c2_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).

fof(f1285,plain,
    ( ~ spl0_231
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f248,f358,f1283]) ).

fof(f1288,definition,
    ( spl0_232
  <=> c3_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).

fof(f1289,plain,
    ( ~ c3_1(a543)
    | spl0_232 ),
    inference(avatar_component_clause,[],[f1288]) ).

fof(f1291,plain,
    ( ~ spl0_232
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f250,f570,f1288]) ).

fof(f1293,definition,
    ( spl0_233
  <=> c0_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).

fof(f1294,plain,
    ( ~ c0_1(a543)
    | spl0_233 ),
    inference(avatar_component_clause,[],[f1293]) ).

fof(f1295,plain,
    ( ~ spl0_233
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f251,f570,f1293]) ).

fof(f1297,definition,
    ( spl0_234
  <=> c1_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).

fof(f1299,plain,
    ( ~ spl0_234
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f252,f570,f1297]) ).

fof(f1300,plain,
    ( spl0_3
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f253,f570,f307]) ).

fof(f1330,definition,
    ( spl0_241
  <=> c2_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1333,plain,
    ( ~ spl0_241
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f262,f597,f1330]) ).

fof(f1335,definition,
    ( spl0_242
  <=> c0_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1336,plain,
    ( c0_1(a535)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1337,plain,
    ( spl0_242
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f263,f597,f1335]) ).

fof(f1339,definition,
    ( spl0_243
  <=> c1_1(a535) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1341,plain,
    ( spl0_243
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f264,f597,f1339]) ).

fof(f1349,definition,
    ( spl0_244
  <=> c2_1(a586) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1353,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(resolution,[],[f328,f311]) ).

fof(f1354,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f1353]) ).

fof(f1356,plain,
    ( ~ c2_1(a543)
    | c3_1(a543)
    | ~ spl0_10
    | spl0_233 ),
    inference(resolution,[],[f331,f1294]) ).

fof(f1362,plain,
    ( ~ c2_1(a594)
    | c3_1(a594)
    | ~ spl0_10
    | spl0_150 ),
    inference(resolution,[],[f331,f906]) ).

fof(f1365,definition,
    ( spl0_245
  <=> c2_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1367,plain,
    ( spl0_149
    | ~ spl0_245
    | ~ spl0_10
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1362,f905,f330,f1365,f901]) ).

fof(f1370,definition,
    ( spl0_246
  <=> c2_1(a543) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

fof(f1372,plain,
    ( spl0_232
    | ~ spl0_246
    | ~ spl0_10
    | spl0_233 ),
    inference(avatar_split_clause,[],[f1356,f1293,f330,f1370,f1288]) ).

fof(f1376,definition,
    ( spl0_247
  <=> c2_1(a578) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

fof(f1382,definition,
    ( spl0_248
  <=> c3_1(a591) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

fof(f1383,plain,
    ( c3_1(a591)
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1388,plain,
    ( c2_1(a569)
    | c1_1(a569)
    | ~ spl0_15
    | spl0_198 ),
    inference(resolution,[],[f348,f1130]) ).

fof(f1393,plain,
    ( c2_1(a594)
    | c1_1(a594)
    | ~ spl0_15
    | spl0_150 ),
    inference(resolution,[],[f348,f906]) ).

fof(f1417,plain,
    ( ~ c1_1(a589)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_159 ),
    inference(resolution,[],[f948,f1354]) ).

fof(f1433,plain,
    ( ~ c3_1(a591)
    | spl0_248 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1438,definition,
    ( spl0_249
  <=> c3_1(a573) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1439,plain,
    ( ~ c3_1(a573)
    | spl0_249 ),
    inference(avatar_component_clause,[],[f1438]) ).

fof(f1442,definition,
    ( spl0_250
  <=> c3_1(a569) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1443,plain,
    ( ~ c3_1(a569)
    | spl0_250 ),
    inference(avatar_component_clause,[],[f1442]) ).

fof(f1461,plain,
    ( ~ c1_1(a586)
    | c3_1(a586)
    | ~ spl0_22
    | spl0_162 ),
    inference(resolution,[],[f372,f962]) ).

fof(f1485,definition,
    ( spl0_253
  <=> c2_1(a572) ),
    introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).

fof(f1495,plain,
    ( ~ c1_1(a547)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_129 ),
    inference(resolution,[],[f808,f1354]) ).

fof(f1503,definition,
    ( spl0_255
  <=> c2_1(a584) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1521,plain,
    ( ~ c2_1(a590)
    | c3_1(a590)
    | ~ spl0_10
    | spl0_155 ),
    inference(resolution,[],[f930,f331]) ).

fof(f1524,definition,
    ( spl0_257
  <=> c2_1(a590) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1526,plain,
    ( spl0_156
    | ~ spl0_257
    | ~ spl0_10
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1521,f929,f330,f1524,f933]) ).

fof(f1531,definition,
    ( spl0_258
  <=> c1_1(a571) ),
    introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).

fof(f1535,plain,
    ( ~ c3_1(a571)
    | c1_1(a571)
    | ~ spl0_25
    | ~ spl0_192 ),
    inference(resolution,[],[f1102,f382]) ).

fof(f1538,plain,
    ( spl0_258
    | ~ spl0_191
    | ~ spl0_25
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f1535,f1101,f381,f1097,f1531]) ).

fof(f1540,plain,
    ( ~ c1_1(a595)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(resolution,[],[f607,f1354]) ).

fof(f1550,definition,
    ( spl0_260
  <=> c2_1(a562) ),
    introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).

fof(f1555,plain,
    ( ~ c3_1(a537)
    | c1_1(a537)
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(resolution,[],[f864,f382]) ).

fof(f1559,plain,
    ( ~ c1_1(a541)
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(resolution,[],[f827,f1354]) ).

fof(f1602,definition,
    ( spl0_262
  <=> c2_1(a570) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

fof(f1622,definition,
    ( spl0_263
  <=> c1_1(a548) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1642,plain,
    ( c1_1(a573)
    | c2_1(a573)
    | ~ spl0_26
    | spl0_249 ),
    inference(resolution,[],[f1439,f385]) ).

fof(f1657,definition,
    ( spl0_264
  <=> c2_1(a537) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f1669,plain,
    ( c2_1(a591)
    | ~ c1_1(a591)
    | ~ spl0_16
    | ~ spl0_248 ),
    inference(resolution,[],[f1383,f352]) ).

fof(f1671,plain,
    ( ~ spl0_153
    | spl0_152
    | ~ spl0_16
    | ~ spl0_248 ),
    inference(avatar_split_clause,[],[f1669,f1382,f351,f915,f919]) ).

fof(f1676,plain,
    ( ~ c1_1(a545)
    | c3_1(a545)
    | ~ spl0_22
    | spl0_229 ),
    inference(resolution,[],[f1275,f372]) ).

fof(f1679,definition,
    ( spl0_265
  <=> c3_1(a545) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f1683,plain,
    ( spl0_265
    | ~ spl0_230
    | ~ spl0_22
    | spl0_229 ),
    inference(avatar_split_clause,[],[f1676,f1274,f371,f1279,f1679]) ).

fof(f1688,plain,
    ( c1_1(a578)
    | c2_1(a578)
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(resolution,[],[f338,f1018]) ).

fof(f1702,plain,
    ( c3_1(a584)
    | c2_1(a584)
    | ~ spl0_30
    | ~ spl0_165 ),
    inference(resolution,[],[f400,f976]) ).

fof(f1708,plain,
    ( spl0_255
    | spl0_163
    | ~ spl0_30
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1702,f975,f399,f966,f1503]) ).

fof(f1727,definition,
    ( spl0_266
  <=> c1_1(a589) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f1737,plain,
    ( c3_1(a584)
    | ~ c1_1(a584)
    | ~ spl0_1
    | ~ spl0_165 ),
    inference(resolution,[],[f302,f976]) ).

fof(f1744,definition,
    ( spl0_267
  <=> c1_1(a559) ),
    introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).

fof(f1757,plain,
    ( ~ spl0_164
    | spl0_163
    | ~ spl0_1
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1737,f975,f301,f966,f971]) ).

fof(f1759,plain,
    ( c2_1(a596)
    | ~ c1_1(a596)
    | ~ spl0_46
    | spl0_146 ),
    inference(resolution,[],[f888,f454]) ).

fof(f1763,definition,
    ( spl0_269
  <=> c1_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f1767,plain,
    ( ~ spl0_269
    | spl0_145
    | ~ spl0_46
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1759,f887,f453,f882,f1763]) ).

fof(f1793,plain,
    ( c1_1(a569)
    | c2_1(a569)
    | ~ spl0_26
    | spl0_250 ),
    inference(resolution,[],[f1443,f385]) ).

fof(f1801,plain,
    ( ~ c2_1(a541)
    | ~ c1_1(a541)
    | ~ spl0_34
    | ~ spl0_135 ),
    inference(resolution,[],[f413,f836]) ).

fof(f1810,plain,
    ( ~ spl0_134
    | ~ spl0_133
    | ~ spl0_34
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1801,f835,f412,f826,f831]) ).

fof(f1823,plain,
    ( c1_1(a596)
    | c2_1(a596)
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(resolution,[],[f437,f892]) ).

fof(f1827,plain,
    ( spl0_145
    | spl0_269
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1823,f891,f436,f1763,f882]) ).

fof(f1863,plain,
    ( ~ c2_1(a543)
    | c1_1(a543)
    | ~ spl0_51
    | spl0_233 ),
    inference(resolution,[],[f472,f1294]) ).

fof(f1869,plain,
    ( ~ c2_1(a578)
    | c1_1(a578)
    | ~ spl0_51
    | spl0_173 ),
    inference(resolution,[],[f472,f1014]) ).

fof(f1873,plain,
    ( ~ c2_1(a594)
    | c1_1(a594)
    | ~ spl0_51
    | spl0_150 ),
    inference(resolution,[],[f472,f906]) ).

fof(f1881,plain,
    ( spl0_148
    | ~ spl0_245
    | ~ spl0_51
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1873,f905,f471,f1365,f896]) ).

fof(f1888,plain,
    ( spl0_234
    | ~ spl0_246
    | ~ spl0_51
    | spl0_233 ),
    inference(avatar_split_clause,[],[f1863,f1293,f471,f1370,f1297]) ).

fof(f1910,plain,
    ( ~ c3_1(a589)
    | ~ c2_1(a589)
    | ~ spl0_55
    | spl0_157 ),
    inference(resolution,[],[f485,f939]) ).

fof(f1927,plain,
    ( ~ spl0_159
    | ~ spl0_158
    | ~ spl0_55
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1910,f938,f484,f943,f947]) ).

fof(f1943,plain,
    ( c2_1(a584)
    | ~ c1_1(a584)
    | ~ spl0_46
    | spl0_163 ),
    inference(resolution,[],[f967,f454]) ).

fof(f1949,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_57 ),
    inference(resolution,[],[f493,f331]) ).

fof(f1954,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_10
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1949]) ).

fof(f1958,plain,
    ( spl0_28
    | ~ spl0_10
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1954,f492,f330,f391]) ).

fof(f1964,definition,
    ( spl0_270
  <=> c1_1(a551) ),
    introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).

fof(f1977,plain,
    ( ~ c1_1(a570)
    | ~ c2_1(a570)
    | ~ spl0_58
    | spl0_193 ),
    inference(resolution,[],[f496,f1107]) ).

fof(f1994,plain,
    ( ~ spl0_262
    | ~ spl0_194
    | ~ spl0_58
    | spl0_193 ),
    inference(avatar_split_clause,[],[f1977,f1106,f495,f1111,f1602]) ).

fof(f2017,definition,
    ( spl0_272
  <=> c2_1(a560) ),
    introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).

fof(f2023,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(resolution,[],[f355,f382]) ).

fof(f2026,plain,
    ( ~ c3_1(a548)
    | c2_1(a548)
    | ~ spl0_17
    | spl0_223 ),
    inference(resolution,[],[f355,f1247]) ).

fof(f2028,plain,
    ( ~ c3_1(a569)
    | c2_1(a569)
    | ~ spl0_17
    | spl0_198 ),
    inference(resolution,[],[f355,f1130]) ).

fof(f2039,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2023]) ).

fof(f2142,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(resolution,[],[f506,f437]) ).

fof(f2158,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f2142]) ).

fof(f2178,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_60 ),
    inference(resolution,[],[f503,f372]) ).

fof(f2186,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_22
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f2178]) ).

fof(f2207,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_60
    | ~ spl0_70 ),
    inference(resolution,[],[f539,f503]) ).

fof(f2223,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_60
    | ~ spl0_70 ),
    inference(duplicate_literal_removal,[],[f2207]) ).

fof(f2231,plain,
    ( c1_1(a555)
    | c2_1(a555)
    | ~ spl0_41
    | ~ spl0_118 ),
    inference(resolution,[],[f757,f437]) ).

fof(f2235,definition,
    ( spl0_274
  <=> c1_1(a555) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

fof(f2248,definition,
    ( spl0_275
  <=> c1_1(a561) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

fof(f2259,plain,
    ( c2_1(a561)
    | ~ c1_1(a561)
    | ~ spl0_46
    | spl0_108 ),
    inference(resolution,[],[f710,f454]) ).

fof(f2263,plain,
    ( ~ spl0_275
    | spl0_107
    | ~ spl0_46
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2259,f709,f453,f705,f2248]) ).

fof(f2265,plain,
    ( c1_1(a555)
    | c2_1(a555)
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(resolution,[],[f762,f338]) ).

fof(f2268,plain,
    ( spl0_120
    | spl0_274
    | ~ spl0_12
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2265,f761,f337,f2235,f765]) ).

fof(f2282,plain,
    ( c3_1(a574)
    | c2_1(a574)
    | ~ spl0_30
    | ~ spl0_92 ),
    inference(resolution,[],[f636,f400]) ).

fof(f2284,definition,
    ( spl0_276
  <=> c2_1(a574) ),
    introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).

fof(f2287,plain,
    ( spl0_276
    | spl0_93
    | ~ spl0_30
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2282,f635,f399,f639,f2284]) ).

fof(f2312,plain,
    ( spl0_120
    | spl0_274
    | ~ spl0_41
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2231,f756,f436,f2235,f765]) ).

fof(f2316,plain,
    ( spl0_172
    | ~ spl0_247
    | ~ spl0_51
    | spl0_173 ),
    inference(avatar_split_clause,[],[f1869,f1013,f471,f1376,f1008]) ).

fof(f2338,plain,
    ( spl0_196
    | spl0_197
    | ~ spl0_26
    | spl0_250 ),
    inference(avatar_split_clause,[],[f1793,f1442,f384,f1125,f1120]) ).

fof(f2347,definition,
    ( spl0_277
  <=> c2_1(a577) ),
    introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).

fof(f2367,plain,
    ( c3_1(a574)
    | ~ c1_1(a574)
    | ~ spl0_1
    | ~ spl0_92 ),
    inference(resolution,[],[f302,f636]) ).

fof(f2370,plain,
    ( ~ spl0_91
    | spl0_93
    | ~ spl0_1
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2367,f635,f301,f639,f630]) ).

fof(f2375,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(resolution,[],[f348,f400]) ).

fof(f2377,plain,
    ( c2_1(a554)
    | c1_1(a554)
    | ~ spl0_15
    | spl0_216 ),
    inference(resolution,[],[f348,f1214]) ).

fof(f2384,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f2375]) ).

fof(f2387,plain,
    ( spl0_214
    | spl0_215
    | ~ spl0_15
    | spl0_216 ),
    inference(avatar_split_clause,[],[f2377,f1213,f347,f1209,f1204]) ).

fof(f2394,plain,
    ( c1_1(a573)
    | ~ c3_1(a573)
    | ~ spl0_23
    | spl0_185 ),
    inference(resolution,[],[f375,f1070]) ).

fof(f2397,plain,
    ( c1_1(a551)
    | ~ c3_1(a551)
    | ~ spl0_23
    | spl0_122 ),
    inference(resolution,[],[f375,f776]) ).

fof(f2410,plain,
    ( spl0_16
    | ~ spl0_60
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f2223,f538,f502,f351]) ).

fof(f2492,definition,
    ( spl0_283
  <=> c1_1(a583) ),
    introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).

fof(f2522,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(resolution,[],[f389,f375]) ).

fof(f2523,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(resolution,[],[f389,f348]) ).

fof(f2532,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f2523]) ).

fof(f2533,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f2522]) ).

fof(f2539,definition,
    ( spl0_284
  <=> c2_1(a550) ),
    introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).

fof(f2546,plain,
    ( spl0_12
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2532,f388,f347,f337]) ).

fof(f2547,plain,
    ( spl0_12
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f2533,f388,f374,f337]) ).

fof(f2553,plain,
    ( spl0_26
    | ~ spl0_15
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f2384,f399,f347,f384]) ).

fof(f2621,plain,
    ( c1_1(a582)
    | c2_1(a582)
    | ~ spl0_26
    | spl0_168 ),
    inference(resolution,[],[f385,f990]) ).

fof(f2660,plain,
    ( ~ spl0_266
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1417,f947,f327,f310,f1727]) ).

fof(f2662,plain,
    ( ~ spl0_128
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1495,f807,f327,f310,f803]) ).

fof(f2666,plain,
    ( ~ spl0_85
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1540,f606,f327,f310,f601]) ).

fof(f2680,plain,
    ( spl0_140
    | ~ spl0_139
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1555,f863,f381,f854,f859]) ).

fof(f2722,plain,
    ( ~ spl0_249
    | spl0_184
    | ~ spl0_23
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2394,f1069,f374,f1064,f1438]) ).

fof(f2726,plain,
    ( spl0_186
    | spl0_184
    | ~ spl0_26
    | spl0_249 ),
    inference(avatar_split_clause,[],[f1642,f1438,f384,f1064,f1073]) ).

fof(f2736,plain,
    ( c1_1(a594)
    | c2_1(a594)
    | ~ spl0_26
    | spl0_149 ),
    inference(resolution,[],[f902,f385]) ).

fof(f2744,plain,
    ( spl0_148
    | spl0_245
    | ~ spl0_15
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1393,f905,f347,f1365,f896]) ).

fof(f2764,plain,
    ( c1_1(a543)
    | c2_1(a543)
    | ~ spl0_26
    | spl0_232 ),
    inference(resolution,[],[f1289,f385]) ).

fof(f2767,plain,
    ( spl0_246
    | spl0_234
    | ~ spl0_26
    | spl0_232 ),
    inference(avatar_split_clause,[],[f2764,f1288,f384,f1297,f1370]) ).

fof(f2800,plain,
    ( ~ c1_1(a570)
    | ~ c2_1(a570)
    | ~ spl0_9
    | ~ spl0_195 ),
    inference(resolution,[],[f328,f1116]) ).

fof(f2803,plain,
    ( ~ c1_1(a538)
    | ~ c2_1(a538)
    | ~ spl0_9
    | ~ spl0_136 ),
    inference(resolution,[],[f328,f841]) ).

fof(f2810,plain,
    ( ~ spl0_138
    | ~ spl0_137
    | ~ spl0_9
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2803,f840,f327,f845,f849]) ).

fof(f2812,plain,
    ( ~ spl0_262
    | ~ spl0_194
    | ~ spl0_9
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f2800,f1115,f327,f1111,f1602]) ).

fof(f2818,plain,
    ( c2_1(a573)
    | c1_1(a573)
    | ~ spl0_15
    | spl0_185 ),
    inference(resolution,[],[f348,f1070]) ).

fof(f2820,plain,
    ( c2_1(a578)
    | c1_1(a578)
    | ~ spl0_15
    | spl0_173 ),
    inference(resolution,[],[f348,f1014]) ).

fof(f2825,plain,
    ( spl0_184
    | spl0_186
    | ~ spl0_15
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2818,f1069,f347,f1073,f1064]) ).

fof(f2828,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(resolution,[],[f382,f348]) ).

fof(f2831,plain,
    ( ~ c3_1(a550)
    | c1_1(a550)
    | ~ spl0_25
    | ~ spl0_222 ),
    inference(resolution,[],[f382,f1242]) ).

fof(f2834,plain,
    ( ~ c3_1(a537)
    | c1_1(a537)
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(resolution,[],[f382,f864]) ).

fof(f2840,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2828]) ).

fof(f2844,plain,
    ( spl0_140
    | ~ spl0_139
    | ~ spl0_25
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2834,f863,f381,f854,f859]) ).

fof(f2845,plain,
    ( spl0_220
    | ~ spl0_221
    | ~ spl0_25
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f2831,f1241,f381,f1237,f1232]) ).

fof(f2847,plain,
    ( spl0_12
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2840,f381,f347,f337]) ).

fof(f2859,plain,
    ( spl0_12
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2039,f381,f354,f337]) ).

fof(f2881,plain,
    ( c1_1(a571)
    | c2_1(a571)
    | ~ spl0_12
    | ~ spl0_191 ),
    inference(resolution,[],[f338,f1098]) ).

fof(f2887,plain,
    ( spl0_190
    | spl0_258
    | ~ spl0_12
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f2881,f1097,f337,f1531,f1092]) ).

fof(f2911,plain,
    ( c2_1(a591)
    | ~ c1_1(a591)
    | ~ spl0_46
    | spl0_248 ),
    inference(resolution,[],[f1433,f454]) ).

fof(f2928,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(resolution,[],[f437,f375]) ).

fof(f2932,plain,
    ( c1_1(a572)
    | c2_1(a572)
    | ~ spl0_41
    | ~ spl0_188 ),
    inference(resolution,[],[f437,f1084]) ).

fof(f2936,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f2928]) ).

fof(f2953,plain,
    ( spl0_172
    | spl0_247
    | ~ spl0_15
    | spl0_173 ),
    inference(avatar_split_clause,[],[f2820,f1013,f347,f1376,f1008]) ).

fof(f2984,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_57 ),
    inference(resolution,[],[f493,f375]) ).

fof(f2987,plain,
    ( c1_1(a572)
    | ~ c2_1(a572)
    | ~ spl0_57
    | ~ spl0_188 ),
    inference(resolution,[],[f493,f1084]) ).

fof(f2988,plain,
    ( c1_1(a537)
    | ~ c2_1(a537)
    | ~ spl0_57
    | ~ spl0_141 ),
    inference(resolution,[],[f493,f864]) ).

fof(f2991,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2984]) ).

fof(f2995,plain,
    ( ~ spl0_264
    | spl0_140
    | ~ spl0_57
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2988,f863,f492,f859,f1657]) ).

fof(f2996,plain,
    ( ~ spl0_253
    | spl0_187
    | ~ spl0_57
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2987,f1083,f492,f1078,f1485]) ).

fof(f3001,plain,
    ( spl0_47
    | ~ spl0_23
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2991,f492,f374,f456]) ).

fof(f3021,plain,
    ( c1_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(resolution,[],[f720,f493]) ).

fof(f3022,plain,
    ( ~ spl0_109
    | spl0_267
    | ~ spl0_57
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f3021,f719,f492,f1744,f714]) ).

fof(f3030,plain,
    ( c1_1(a589)
    | ~ c3_1(a589)
    | ~ spl0_23
    | spl0_157 ),
    inference(resolution,[],[f939,f375]) ).

fof(f3031,plain,
    ( ~ spl0_158
    | spl0_266
    | ~ spl0_23
    | spl0_157 ),
    inference(avatar_split_clause,[],[f3030,f938,f374,f1727,f943]) ).

fof(f3040,plain,
    ( c1_1(a546)
    | ~ c2_1(a546)
    | ~ spl0_28
    | spl0_228 ),
    inference(resolution,[],[f392,f1270]) ).

fof(f3049,plain,
    ( c1_1(a581)
    | ~ c2_1(a581)
    | ~ spl0_28
    | spl0_169 ),
    inference(resolution,[],[f392,f995]) ).

fof(f3053,plain,
    ( c1_1(a594)
    | ~ c2_1(a594)
    | ~ spl0_28
    | spl0_149 ),
    inference(resolution,[],[f392,f902]) ).

fof(f3055,plain,
    ( c1_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_28
    | spl0_111 ),
    inference(resolution,[],[f392,f724]) ).

fof(f3062,plain,
    ( ~ spl0_109
    | spl0_267
    | ~ spl0_28
    | spl0_111 ),
    inference(avatar_split_clause,[],[f3055,f723,f391,f1744,f714]) ).

fof(f3063,plain,
    ( ~ spl0_245
    | spl0_148
    | ~ spl0_28
    | spl0_149 ),
    inference(avatar_split_clause,[],[f3053,f901,f391,f896,f1365]) ).

fof(f3067,plain,
    ( ~ spl0_171
    | spl0_170
    | ~ spl0_28
    | spl0_169 ),
    inference(avatar_split_clause,[],[f3049,f994,f391,f999,f1003]) ).

fof(f3074,plain,
    ( ~ spl0_227
    | spl0_226
    | ~ spl0_28
    | spl0_228 ),
    inference(avatar_split_clause,[],[f3040,f1269,f391,f1260,f1265]) ).

fof(f3099,plain,
    ( ~ c2_1(a560)
    | ~ c1_1(a560)
    | ~ spl0_4
    | spl0_209 ),
    inference(resolution,[],[f311,f1182]) ).

fof(f3113,plain,
    ( ~ c2_1(a574)
    | ~ c1_1(a574)
    | ~ spl0_4
    | spl0_93 ),
    inference(resolution,[],[f311,f640]) ).

fof(f3114,plain,
    ( ~ spl0_91
    | ~ spl0_276
    | ~ spl0_4
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3113,f639,f310,f2284,f630]) ).

fof(f3121,plain,
    ( c2_1(a548)
    | c1_1(a548)
    | ~ spl0_15
    | spl0_223 ),
    inference(resolution,[],[f348,f1247]) ).

fof(f3128,plain,
    ( c2_1(a590)
    | c1_1(a590)
    | ~ spl0_15
    | spl0_155 ),
    inference(resolution,[],[f348,f930]) ).

fof(f3132,plain,
    ( spl0_154
    | spl0_257
    | ~ spl0_15
    | spl0_155 ),
    inference(avatar_split_clause,[],[f3128,f929,f347,f1524,f924]) ).

fof(f3134,plain,
    ( spl0_263
    | spl0_225
    | ~ spl0_15
    | spl0_223 ),
    inference(avatar_split_clause,[],[f3121,f1246,f347,f1255,f1622]) ).

fof(f3145,plain,
    ( c1_1(a550)
    | ~ c2_1(a550)
    | ~ spl0_47
    | ~ spl0_221 ),
    inference(resolution,[],[f457,f1238]) ).

fof(f3149,plain,
    ( c1_1(a578)
    | ~ c2_1(a578)
    | ~ spl0_47
    | ~ spl0_174 ),
    inference(resolution,[],[f457,f1018]) ).

fof(f3150,plain,
    ( c1_1(a589)
    | ~ c2_1(a589)
    | ~ spl0_47
    | ~ spl0_158 ),
    inference(resolution,[],[f457,f944]) ).

fof(f3151,plain,
    ( c1_1(a537)
    | ~ c2_1(a537)
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(resolution,[],[f457,f855]) ).

fof(f3164,plain,
    ( ~ spl0_284
    | spl0_220
    | ~ spl0_47
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f3145,f1237,f456,f1232,f2539]) ).

fof(f3168,plain,
    ( ~ c1_1(a535)
    | c2_1(a535)
    | ~ spl0_60
    | ~ spl0_242 ),
    inference(resolution,[],[f503,f1336]) ).

fof(f3171,plain,
    ( ~ c1_1(a571)
    | c2_1(a571)
    | ~ spl0_60
    | ~ spl0_192 ),
    inference(resolution,[],[f503,f1102]) ).

fof(f3172,plain,
    ( ~ c1_1(a596)
    | c2_1(a596)
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(resolution,[],[f503,f892]) ).

fof(f3186,plain,
    ( spl0_145
    | ~ spl0_269
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f3172,f891,f502,f1763,f882]) ).

fof(f3187,plain,
    ( spl0_190
    | ~ spl0_258
    | ~ spl0_60
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f3171,f1101,f502,f1531,f1092]) ).

fof(f3188,plain,
    ( spl0_241
    | ~ spl0_243
    | ~ spl0_60
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f3168,f1335,f502,f1339,f1330]) ).

fof(f3211,plain,
    ( c2_1(a548)
    | ~ c1_1(a548)
    | ~ spl0_16
    | ~ spl0_224 ),
    inference(resolution,[],[f352,f1252]) ).

fof(f3214,plain,
    ( c2_1(a571)
    | ~ c1_1(a571)
    | ~ spl0_16
    | ~ spl0_191 ),
    inference(resolution,[],[f352,f1098]) ).

fof(f3221,plain,
    ( c2_1(a555)
    | ~ c1_1(a555)
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(resolution,[],[f352,f762]) ).

fof(f3224,plain,
    ( c2_1(a583)
    | ~ c1_1(a583)
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(resolution,[],[f352,f617]) ).

fof(f3226,plain,
    ( ~ spl0_283
    | spl0_90
    | ~ spl0_16
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f3224,f616,f351,f625,f2492]) ).

fof(f3228,plain,
    ( ~ spl0_274
    | spl0_120
    | ~ spl0_16
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f3221,f761,f351,f765,f2235]) ).

fof(f3230,plain,
    ( ~ spl0_258
    | spl0_190
    | ~ spl0_16
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f3214,f1097,f351,f1092,f1531]) ).

fof(f3231,plain,
    ( ~ spl0_263
    | spl0_225
    | ~ spl0_16
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f3211,f1251,f351,f1255,f1622]) ).

fof(f3236,plain,
    ( ~ c3_1(a548)
    | c2_1(a548)
    | ~ spl0_17
    | spl0_223 ),
    inference(resolution,[],[f355,f1247]) ).

fof(f3263,plain,
    ( ~ c2_1(a536)
    | ~ c1_1(a536)
    | ~ spl0_34
    | ~ spl0_142 ),
    inference(resolution,[],[f413,f869]) ).

fof(f3265,plain,
    ( ~ c2_1(a547)
    | ~ c1_1(a547)
    | ~ spl0_34
    | ~ spl0_127 ),
    inference(resolution,[],[f413,f799]) ).

fof(f3270,plain,
    ( ~ c2_1(a574)
    | ~ c1_1(a574)
    | ~ spl0_34
    | ~ spl0_92 ),
    inference(resolution,[],[f413,f636]) ).

fof(f3272,plain,
    ( ~ spl0_91
    | ~ spl0_276
    | ~ spl0_34
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f3270,f635,f412,f2284,f630]) ).

fof(f3273,plain,
    ( ~ spl0_128
    | ~ spl0_129
    | ~ spl0_34
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f3265,f798,f412,f807,f803]) ).

fof(f3283,plain,
    ( spl0_167
    | spl0_166
    | ~ spl0_26
    | spl0_168 ),
    inference(avatar_split_clause,[],[f2621,f989,f384,f980,f985]) ).

fof(f3330,plain,
    ( c1_1(a552)
    | c2_1(a552)
    | ~ spl0_26
    | spl0_219 ),
    inference(resolution,[],[f385,f1228]) ).

fof(f3332,plain,
    ( c1_1(a572)
    | c2_1(a572)
    | ~ spl0_26
    | spl0_189 ),
    inference(resolution,[],[f385,f1088]) ).

fof(f3338,plain,
    ( c1_1(a596)
    | c2_1(a596)
    | ~ spl0_26
    | spl0_146 ),
    inference(resolution,[],[f385,f888]) ).

fof(f3339,plain,
    ( c1_1(a561)
    | c2_1(a561)
    | ~ spl0_26
    | spl0_108 ),
    inference(resolution,[],[f385,f710]) ).

fof(f3345,plain,
    ( spl0_145
    | spl0_269
    | ~ spl0_26
    | spl0_146 ),
    inference(avatar_split_clause,[],[f3338,f887,f384,f1763,f882]) ).

fof(f3359,plain,
    ( ~ c3_1(a583)
    | c2_1(a583)
    | ~ spl0_27
    | ~ spl0_89 ),
    inference(resolution,[],[f389,f622]) ).

fof(f3360,plain,
    ( spl0_90
    | ~ spl0_88
    | ~ spl0_27
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3359,f621,f388,f616,f625]) ).

fof(f3370,plain,
    ( c2_1(a570)
    | ~ c1_1(a570)
    | ~ spl0_16
    | ~ spl0_195 ),
    inference(resolution,[],[f1116,f352]) ).

fof(f3371,plain,
    ( ~ spl0_194
    | spl0_262
    | ~ spl0_16
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f3370,f1115,f351,f1602,f1111]) ).

fof(f3382,plain,
    ( c1_1(a583)
    | c2_1(a583)
    | ~ spl0_41
    | ~ spl0_89 ),
    inference(resolution,[],[f437,f622]) ).

fof(f3383,plain,
    ( spl0_90
    | spl0_283
    | ~ spl0_41
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f3382,f621,f436,f2492,f625]) ).

fof(f3402,plain,
    ( ~ c2_1(a589)
    | c1_1(a589)
    | ~ spl0_51
    | spl0_157 ),
    inference(resolution,[],[f472,f939]) ).

fof(f3408,plain,
    ( spl0_266
    | ~ spl0_159
    | ~ spl0_51
    | spl0_157 ),
    inference(avatar_split_clause,[],[f3402,f938,f471,f947,f1727]) ).

fof(f3413,plain,
    ( ~ c1_1(a584)
    | c2_1(a584)
    | ~ spl0_60
    | ~ spl0_165 ),
    inference(resolution,[],[f503,f976]) ).

fof(f3425,plain,
    ( spl0_255
    | ~ spl0_164
    | ~ spl0_60
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f3413,f975,f502,f971,f1503]) ).

fof(f3445,plain,
    ( spl0_225
    | ~ spl0_224
    | ~ spl0_17
    | spl0_223 ),
    inference(avatar_split_clause,[],[f2026,f1246,f354,f1251,f1255]) ).

fof(f3446,plain,
    ( spl0_196
    | ~ spl0_250
    | ~ spl0_17
    | spl0_198 ),
    inference(avatar_split_clause,[],[f2028,f1129,f354,f1442,f1120]) ).

fof(f3461,plain,
    ( spl0_225
    | ~ spl0_224
    | ~ spl0_17
    | spl0_223 ),
    inference(avatar_split_clause,[],[f3236,f1246,f354,f1251,f1255]) ).

fof(f3492,plain,
    ( ~ c2_1(a562)
    | c3_1(a562)
    | ~ spl0_10
    | spl0_104 ),
    inference(resolution,[],[f331,f692]) ).

fof(f3495,plain,
    ( spl0_105
    | ~ spl0_260
    | ~ spl0_10
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3492,f691,f330,f1550,f695]) ).

fof(f3507,plain,
    ( c1_1(a548)
    | c2_1(a548)
    | ~ spl0_12
    | ~ spl0_224 ),
    inference(resolution,[],[f338,f1252]) ).

fof(f3508,plain,
    ( c1_1(a550)
    | c2_1(a550)
    | ~ spl0_12
    | ~ spl0_221 ),
    inference(resolution,[],[f338,f1238]) ).

fof(f3513,plain,
    ( c1_1(a537)
    | c2_1(a537)
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(resolution,[],[f338,f855]) ).

fof(f3519,plain,
    ( c1_1(a583)
    | c2_1(a583)
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(resolution,[],[f338,f617]) ).

fof(f3525,plain,
    ( spl0_284
    | spl0_220
    | ~ spl0_12
    | ~ spl0_221 ),
    inference(avatar_split_clause,[],[f3508,f1237,f337,f1232,f2539]) ).

fof(f3559,plain,
    ( spl0_245
    | spl0_148
    | ~ spl0_26
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2736,f901,f384,f896,f1365]) ).

fof(f3561,plain,
    ( spl0_217
    | spl0_218
    | ~ spl0_26
    | spl0_219 ),
    inference(avatar_split_clause,[],[f3330,f1227,f384,f1223,f1218]) ).

fof(f3562,plain,
    ( spl0_253
    | spl0_187
    | ~ spl0_26
    | spl0_189 ),
    inference(avatar_split_clause,[],[f3332,f1087,f384,f1078,f1485]) ).

fof(f3579,plain,
    ( spl0_26
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2158,f505,f436,f384]) ).

fof(f3585,plain,
    ( spl0_253
    | spl0_187
    | ~ spl0_41
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2932,f1083,f436,f1078,f1485]) ).

fof(f3598,plain,
    ( ~ spl0_164
    | spl0_255
    | ~ spl0_46
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1943,f966,f453,f1503,f971]) ).

fof(f3605,plain,
    ( ~ spl0_153
    | spl0_152
    | ~ spl0_46
    | spl0_248 ),
    inference(avatar_split_clause,[],[f2911,f1382,f453,f915,f919]) ).

fof(f3639,plain,
    ( ~ c1_1(a589)
    | ~ c2_1(a589)
    | ~ spl0_9
    | ~ spl0_158 ),
    inference(resolution,[],[f328,f944]) ).

fof(f3641,plain,
    ( ~ c1_1(a549)
    | ~ c2_1(a549)
    | ~ spl0_9
    | ~ spl0_126 ),
    inference(resolution,[],[f328,f794]) ).

fof(f3646,plain,
    ( ~ spl0_125
    | ~ spl0_124
    | ~ spl0_9
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f3641,f793,f327,f784,f789]) ).

fof(f3647,plain,
    ( ~ spl0_159
    | ~ spl0_266
    | ~ spl0_9
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3639,f943,f327,f1727,f947]) ).

fof(f3665,plain,
    ( ~ c3_1(a545)
    | c2_1(a545)
    | ~ spl0_17
    | spl0_229 ),
    inference(resolution,[],[f355,f1275]) ).

fof(f3668,plain,
    ( ~ c3_1(a563)
    | c2_1(a563)
    | ~ spl0_17
    | spl0_206 ),
    inference(resolution,[],[f355,f1168]) ).

fof(f3669,plain,
    ( ~ c3_1(a570)
    | c2_1(a570)
    | ~ spl0_17
    | spl0_193 ),
    inference(resolution,[],[f355,f1107]) ).

fof(f3677,plain,
    ( spl0_262
    | ~ spl0_195
    | ~ spl0_17
    | spl0_193 ),
    inference(avatar_split_clause,[],[f3669,f1106,f354,f1115,f1602]) ).

fof(f3678,plain,
    ( spl0_205
    | ~ spl0_207
    | ~ spl0_17
    | spl0_206 ),
    inference(avatar_split_clause,[],[f3668,f1167,f354,f1171,f1162]) ).

fof(f3680,plain,
    ( spl0_231
    | ~ spl0_265
    | ~ spl0_17
    | spl0_229 ),
    inference(avatar_split_clause,[],[f3665,f1274,f354,f1679,f1283]) ).

fof(f3683,plain,
    ( c1_1(a558)
    | ~ c3_1(a558)
    | ~ spl0_23
    | spl0_211 ),
    inference(resolution,[],[f375,f1191]) ).

fof(f3696,plain,
    ( ~ spl0_212
    | spl0_213
    | ~ spl0_23
    | spl0_211 ),
    inference(avatar_split_clause,[],[f3683,f1190,f374,f1199,f1195]) ).

fof(f3708,plain,
    ( c1_1(a590)
    | c2_1(a590)
    | ~ spl0_26
    | spl0_156 ),
    inference(resolution,[],[f385,f934]) ).

fof(f3718,plain,
    ( spl0_257
    | spl0_154
    | ~ spl0_26
    | spl0_156 ),
    inference(avatar_split_clause,[],[f3708,f933,f384,f924,f1524]) ).

fof(f3727,plain,
    ( ~ c3_1(a537)
    | c2_1(a537)
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(resolution,[],[f389,f864]) ).

fof(f3736,plain,
    ( spl0_264
    | ~ spl0_139
    | ~ spl0_27
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3727,f863,f388,f854,f1657]) ).

fof(f3763,plain,
    ( c1_1(a537)
    | c2_1(a537)
    | ~ spl0_41
    | ~ spl0_141 ),
    inference(resolution,[],[f437,f864]) ).

fof(f3772,plain,
    ( spl0_264
    | spl0_140
    | ~ spl0_41
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3763,f863,f436,f859,f1657]) ).

fof(f3789,plain,
    ( c2_1(a560)
    | ~ c1_1(a560)
    | ~ spl0_46
    | spl0_209 ),
    inference(resolution,[],[f454,f1182]) ).

fof(f3802,plain,
    ( c2_1(a562)
    | ~ c1_1(a562)
    | ~ spl0_46
    | spl0_105 ),
    inference(resolution,[],[f454,f696]) ).

fof(f3804,plain,
    ( c2_1(a574)
    | ~ c1_1(a574)
    | ~ spl0_46
    | spl0_93 ),
    inference(resolution,[],[f454,f640]) ).

fof(f3808,plain,
    ( ~ spl0_91
    | spl0_276
    | ~ spl0_46
    | spl0_93 ),
    inference(avatar_split_clause,[],[f3804,f639,f453,f2284,f630]) ).

fof(f3810,plain,
    ( ~ spl0_103
    | spl0_260
    | ~ spl0_46
    | spl0_105 ),
    inference(avatar_split_clause,[],[f3802,f695,f453,f1550,f686]) ).

fof(f3814,plain,
    ( ~ spl0_210
    | spl0_272
    | ~ spl0_46
    | spl0_209 ),
    inference(avatar_split_clause,[],[f3789,f1181,f453,f2017,f1185]) ).

fof(f3829,plain,
    ( ~ c2_1(a568)
    | c1_1(a568)
    | ~ spl0_51
    | spl0_96 ),
    inference(resolution,[],[f472,f654]) ).

fof(f3832,plain,
    ( spl0_95
    | ~ spl0_94
    | ~ spl0_51
    | spl0_96 ),
    inference(avatar_split_clause,[],[f3829,f653,f471,f644,f649]) ).

fof(f3860,plain,
    ( c3_1(a545)
    | c2_1(a545)
    | ~ spl0_61
    | spl0_229 ),
    inference(resolution,[],[f506,f1275]) ).

fof(f3862,plain,
    ( c3_1(a560)
    | c2_1(a560)
    | ~ spl0_61
    | spl0_208 ),
    inference(resolution,[],[f506,f1177]) ).

fof(f3865,plain,
    ( c3_1(a577)
    | c2_1(a577)
    | ~ spl0_61
    | spl0_175 ),
    inference(resolution,[],[f506,f1023]) ).

fof(f3867,plain,
    ( c3_1(a586)
    | c2_1(a586)
    | ~ spl0_61
    | spl0_162 ),
    inference(resolution,[],[f506,f962]) ).

fof(f3869,plain,
    ( c3_1(a562)
    | c2_1(a562)
    | ~ spl0_61
    | spl0_104 ),
    inference(resolution,[],[f506,f692]) ).

fof(f3876,plain,
    ( spl0_260
    | spl0_105
    | ~ spl0_61
    | spl0_104 ),
    inference(avatar_split_clause,[],[f3869,f691,f505,f695,f1550]) ).

fof(f3877,plain,
    ( spl0_244
    | spl0_160
    | ~ spl0_61
    | spl0_162 ),
    inference(avatar_split_clause,[],[f3867,f961,f505,f952,f1349]) ).

fof(f3878,plain,
    ( spl0_277
    | spl0_177
    | ~ spl0_61
    | spl0_175 ),
    inference(avatar_split_clause,[],[f3865,f1022,f505,f1031,f2347]) ).

fof(f3880,plain,
    ( spl0_272
    | spl0_209
    | ~ spl0_61
    | spl0_208 ),
    inference(avatar_split_clause,[],[f3862,f1176,f505,f1181,f2017]) ).

fof(f3882,plain,
    ( spl0_231
    | spl0_265
    | ~ spl0_61
    | spl0_229 ),
    inference(avatar_split_clause,[],[f3860,f1274,f505,f1679,f1283]) ).

fof(f3886,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(resolution,[],[f517,f375]) ).

fof(f3889,plain,
    ( ~ c2_1(a550)
    | ~ c3_1(a550)
    | ~ spl0_64
    | ~ spl0_222 ),
    inference(resolution,[],[f517,f1242]) ).

fof(f3898,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f3886]) ).

fof(f3905,plain,
    ( ~ spl0_221
    | ~ spl0_284
    | ~ spl0_64
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f3889,f1241,f516,f2539,f1237]) ).

fof(f3906,plain,
    ( spl0_47
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f3898,f516,f374,f456]) ).

fof(f3913,plain,
    ( ~ spl0_134
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1559,f826,f327,f310,f831]) ).

fof(f3933,plain,
    ( spl0_160
    | ~ spl0_161
    | ~ spl0_22
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1461,f961,f371,f957,f952]) ).

fof(f3993,plain,
    ( ~ c1_1(a551)
    | ~ c2_1(a551)
    | ~ spl0_9
    | ~ spl0_123 ),
    inference(resolution,[],[f780,f328]) ).

fof(f3995,plain,
    ( ~ spl0_121
    | ~ spl0_270
    | ~ spl0_9
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f3993,f779,f327,f1964,f770]) ).

fof(f4014,plain,
    ( ~ c2_1(a577)
    | ~ c1_1(a577)
    | ~ spl0_4
    | spl0_177 ),
    inference(resolution,[],[f311,f1032]) ).

fof(f4015,plain,
    ( ~ c2_1(a584)
    | ~ c1_1(a584)
    | ~ spl0_4
    | spl0_163 ),
    inference(resolution,[],[f311,f967]) ).

fof(f4016,plain,
    ( ~ c2_1(a586)
    | ~ c1_1(a586)
    | ~ spl0_4
    | spl0_160 ),
    inference(resolution,[],[f311,f953]) ).

fof(f4021,plain,
    ( ~ c2_1(a559)
    | ~ c1_1(a559)
    | ~ spl0_4
    | spl0_111 ),
    inference(resolution,[],[f311,f724]) ).

fof(f4022,plain,
    ( ~ c2_1(a562)
    | ~ c1_1(a562)
    | ~ spl0_4
    | spl0_105 ),
    inference(resolution,[],[f311,f696]) ).

fof(f4027,plain,
    ( ~ spl0_103
    | ~ spl0_260
    | ~ spl0_4
    | spl0_105 ),
    inference(avatar_split_clause,[],[f4022,f695,f310,f1550,f686]) ).

fof(f4028,plain,
    ( ~ spl0_267
    | ~ spl0_109
    | ~ spl0_4
    | spl0_111 ),
    inference(avatar_split_clause,[],[f4021,f723,f310,f714,f1744]) ).

fof(f4031,plain,
    ( ~ spl0_161
    | ~ spl0_244
    | ~ spl0_4
    | spl0_160 ),
    inference(avatar_split_clause,[],[f4016,f952,f310,f1349,f957]) ).

fof(f4032,plain,
    ( ~ spl0_164
    | ~ spl0_255
    | ~ spl0_4
    | spl0_163 ),
    inference(avatar_split_clause,[],[f4015,f966,f310,f1503,f971]) ).

fof(f4033,plain,
    ( ~ spl0_176
    | ~ spl0_277
    | ~ spl0_4
    | spl0_177 ),
    inference(avatar_split_clause,[],[f4014,f1031,f310,f2347,f1027]) ).

fof(f4041,plain,
    ( ~ c1_1(a545)
    | c3_1(a545)
    | ~ spl0_22
    | spl0_229 ),
    inference(resolution,[],[f372,f1275]) ).

fof(f4044,plain,
    ( ~ c1_1(a577)
    | c3_1(a577)
    | ~ spl0_22
    | spl0_175 ),
    inference(resolution,[],[f372,f1023]) ).

fof(f4048,plain,
    ( ~ c1_1(a591)
    | c3_1(a591)
    | ~ spl0_22
    | spl0_151 ),
    inference(resolution,[],[f372,f911]) ).

fof(f4050,plain,
    ( ~ c1_1(a562)
    | c3_1(a562)
    | ~ spl0_22
    | spl0_104 ),
    inference(resolution,[],[f372,f692]) ).

fof(f4056,plain,
    ( spl0_105
    | ~ spl0_103
    | ~ spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f4050,f691,f371,f686,f695]) ).

fof(f4057,plain,
    ( spl0_248
    | ~ spl0_153
    | ~ spl0_22
    | spl0_151 ),
    inference(avatar_split_clause,[],[f4048,f910,f371,f919,f1382]) ).

fof(f4058,plain,
    ( spl0_177
    | ~ spl0_176
    | ~ spl0_22
    | spl0_175 ),
    inference(avatar_split_clause,[],[f4044,f1022,f371,f1027,f1031]) ).

fof(f4060,plain,
    ( spl0_265
    | ~ spl0_230
    | ~ spl0_22
    | spl0_229 ),
    inference(avatar_split_clause,[],[f4041,f1274,f371,f1279,f1679]) ).

fof(f4067,plain,
    ( ~ c3_1(a557)
    | c1_1(a557)
    | ~ spl0_25
    | ~ spl0_112 ),
    inference(resolution,[],[f382,f729]) ).

fof(f4071,plain,
    ( spl0_113
    | ~ spl0_114
    | ~ spl0_25
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f4067,f728,f381,f737,f733]) ).

fof(f4081,plain,
    ( ~ c1_1(a577)
    | ~ c2_1(a577)
    | ~ spl0_58
    | spl0_175 ),
    inference(resolution,[],[f496,f1023]) ).

fof(f4083,plain,
    ( ~ c1_1(a589)
    | ~ c2_1(a589)
    | ~ spl0_58
    | spl0_157 ),
    inference(resolution,[],[f496,f939]) ).

fof(f4087,plain,
    ( ~ c1_1(a562)
    | ~ c2_1(a562)
    | ~ spl0_58
    | spl0_104 ),
    inference(resolution,[],[f496,f692]) ).

fof(f4093,plain,
    ( ~ spl0_260
    | ~ spl0_103
    | ~ spl0_58
    | spl0_104 ),
    inference(avatar_split_clause,[],[f4087,f691,f495,f686,f1550]) ).

fof(f4095,plain,
    ( ~ spl0_159
    | ~ spl0_266
    | ~ spl0_58
    | spl0_157 ),
    inference(avatar_split_clause,[],[f4083,f938,f495,f1727,f947]) ).

fof(f4096,plain,
    ( ~ spl0_277
    | ~ spl0_176
    | ~ spl0_58
    | spl0_175 ),
    inference(avatar_split_clause,[],[f4081,f1022,f495,f1027,f2347]) ).

fof(f4100,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(resolution,[],[f503,f506]) ).

fof(f4107,plain,
    ( ~ c1_1(a564)
    | c2_1(a564)
    | ~ spl0_60
    | ~ spl0_101 ),
    inference(resolution,[],[f503,f678]) ).

fof(f4108,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f4100]) ).

fof(f4111,plain,
    ( spl0_102
    | ~ spl0_100
    | ~ spl0_60
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f4107,f677,f502,f672,f681]) ).

fof(f4114,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_64
    | ~ spl0_70 ),
    inference(resolution,[],[f539,f517]) ).

fof(f4119,plain,
    ( ~ c3_1(a545)
    | ~ c1_1(a545)
    | ~ spl0_70
    | spl0_229 ),
    inference(resolution,[],[f539,f1275]) ).

fof(f4123,plain,
    ( ~ c3_1(a589)
    | ~ c1_1(a589)
    | ~ spl0_70
    | spl0_157 ),
    inference(resolution,[],[f539,f939]) ).

fof(f4126,plain,
    ( ~ c3_1(a551)
    | ~ c1_1(a551)
    | ~ spl0_70
    | spl0_122 ),
    inference(resolution,[],[f539,f776]) ).

fof(f4131,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_64
    | ~ spl0_70 ),
    inference(duplicate_literal_removal,[],[f4114]) ).

fof(f4134,plain,
    ( ~ spl0_270
    | ~ spl0_123
    | ~ spl0_70
    | spl0_122 ),
    inference(avatar_split_clause,[],[f4126,f775,f538,f779,f1964]) ).

fof(f4135,plain,
    ( ~ spl0_266
    | ~ spl0_158
    | ~ spl0_70
    | spl0_157 ),
    inference(avatar_split_clause,[],[f4123,f938,f538,f943,f1727]) ).

fof(f4136,plain,
    ( ~ spl0_230
    | ~ spl0_265
    | ~ spl0_70
    | spl0_229 ),
    inference(avatar_split_clause,[],[f4119,f1274,f538,f1679,f1279]) ).

fof(f4142,plain,
    ( c3_1(a572)
    | c1_1(a572)
    | ~ spl0_76
    | ~ spl0_188 ),
    inference(resolution,[],[f567,f1084]) ).

fof(f4155,plain,
    ( spl0_187
    | spl0_189
    | ~ spl0_76
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f4142,f1083,f566,f1087,f1078]) ).

fof(f4158,plain,
    ( c2_1(a544)
    | ~ c1_1(a544)
    | ~ spl0_46
    | spl0_131 ),
    inference(resolution,[],[f818,f454]) ).

fof(f4162,plain,
    ( ~ spl0_130
    | spl0_132
    | ~ spl0_46
    | spl0_131 ),
    inference(avatar_split_clause,[],[f4158,f817,f453,f821,f812]) ).

fof(f4167,plain,
    ( spl0_46
    | ~ spl0_22
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f2186,f502,f371,f453]) ).

fof(f4168,plain,
    ( spl0_46
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f4108,f505,f502,f453]) ).

fof(f4174,plain,
    ( spl0_247
    | spl0_172
    | ~ spl0_12
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1688,f1017,f337,f1008,f1376]) ).

fof(f4181,plain,
    ( spl0_225
    | spl0_263
    | ~ spl0_12
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f3507,f1251,f337,f1622,f1255]) ).

fof(f4182,plain,
    ( spl0_264
    | spl0_140
    | ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3513,f854,f337,f859,f1657]) ).

fof(f4184,plain,
    ( spl0_90
    | spl0_283
    | ~ spl0_12
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f3519,f616,f337,f2492,f625]) ).

fof(f4185,plain,
    ( spl0_197
    | spl0_196
    | ~ spl0_15
    | spl0_198 ),
    inference(avatar_split_clause,[],[f1388,f1129,f347,f1120,f1125]) ).

fof(f4199,plain,
    ( ~ spl0_123
    | spl0_270
    | ~ spl0_23
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2397,f775,f374,f1964,f779]) ).

fof(f4202,plain,
    ( spl0_12
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f2936,f436,f374,f337]) ).

fof(f4216,plain,
    ( ~ spl0_144
    | ~ spl0_143
    | ~ spl0_34
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3263,f868,f412,f873,f877]) ).

fof(f4223,plain,
    ( ~ spl0_247
    | spl0_172
    | ~ spl0_47
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f3149,f1017,f456,f1008,f1376]) ).

fof(f4224,plain,
    ( ~ spl0_159
    | spl0_266
    | ~ spl0_47
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3150,f943,f456,f1727,f947]) ).

fof(f4225,plain,
    ( ~ spl0_264
    | spl0_140
    | ~ spl0_47
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f3151,f854,f456,f859,f1657]) ).

fof(f4237,plain,
    ( spl0_107
    | spl0_275
    | ~ spl0_26
    | spl0_108 ),
    inference(avatar_split_clause,[],[f3339,f709,f384,f2248,f705]) ).

fof(f4240,plain,
    ( ~ spl0_210
    | ~ spl0_272
    | ~ spl0_4
    | spl0_209 ),
    inference(avatar_split_clause,[],[f3099,f1181,f310,f2017,f1185]) ).

fof(f4261,plain,
    ( spl0_9
    | ~ spl0_64
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f4131,f538,f516,f327]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s2,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s3,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s5,plain,
    ( spl0_15
    | spl0_14
    | ~ spl0_3
    | spl0_15 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s6,plain,
    ( ~ spl0_3
    | spl0_14
    | spl0_15 ),
    inference(rat,[],[s5]) ).

cnf(s7,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s8,plain,
    ( spl0_18
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | spl0_21
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_16
    | spl0_29 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_22
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s17,plain,
    ( ~ spl0_3
    | spl0_39
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s18,plain,
    ( spl0_42
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_45
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s20,plain,
    ( ~ spl0_3
    | spl0_27
    | spl0_30
    | spl0_48 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s23,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s24,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_26
    | spl0_56 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | spl0_59
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | spl0_58
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s29,plain,
    ( ~ spl0_3
    | spl0_41
    | spl0_58
    | spl0_66 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s31,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_26
    | spl0_47 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s32,plain,
    ( ~ spl0_3
    | spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s33,plain,
    ( ~ spl0_3
    | spl0_10
    | spl0_23
    | spl0_60 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s34,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_47
    | spl0_71 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s35,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_51
    | spl0_72 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_57
    | spl0_73 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s37,plain,
    ( ~ spl0_3
    | spl0_16
    | spl0_22
    | spl0_32 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s38,plain,
    ( ~ spl0_3
    | spl0_15
    | spl0_20
    | spl0_70 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s39,plain,
    ( ~ spl0_3
    | spl0_17
    | spl0_26
    | spl0_71 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s40,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_12
    | spl0_74 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s41,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_18
    | spl0_22 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s42,plain,
    ( ~ spl0_3
    | spl0_57
    | spl0_75
    | spl0_76 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s43,plain,
    ( spl0_33
    | spl0_77
    | spl0_78 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s45,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_41
    | spl0_82 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s46,plain,
    ( ~ spl0_3
    | spl0_9
    | spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s47,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_61
    | spl0_83 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_34
    | spl0_60 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_34
    | spl0_84 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s50,plain,
    ( ~ spl0_5
    | spl0_85 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s51,plain,
    ( ~ spl0_5
    | spl0_86 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s54,plain,
    ( ~ spl0_24
    | spl0_88 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s55,plain,
    ( ~ spl0_24
    | spl0_89 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s56,plain,
    ( ~ spl0_24
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s58,plain,
    ( ~ spl0_39
    | spl0_91 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s59,plain,
    ( ~ spl0_39
    | spl0_92 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s60,plain,
    ( ~ spl0_39
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s62,plain,
    ( ~ spl0_48
    | spl0_94 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s63,plain,
    ( ~ spl0_48
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s64,plain,
    ( ~ spl0_48
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s70,plain,
    ( ~ spl0_54
    | spl0_100 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s71,plain,
    ( ~ spl0_54
    | spl0_101 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s72,plain,
    ( ~ spl0_54
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s74,plain,
    ( ~ spl0_8
    | spl0_103 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s75,plain,
    ( ~ spl0_8
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s76,plain,
    ( ~ spl0_8
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s79,plain,
    ( ~ spl0_59
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s80,plain,
    ( ~ spl0_59
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s82,plain,
    ( ~ spl0_63
    | spl0_109 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s83,plain,
    ( ~ spl0_63
    | spl0_110 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s84,plain,
    ( ~ spl0_63
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s86,plain,
    ( ~ spl0_66
    | spl0_112 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s87,plain,
    ( ~ spl0_66
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s88,plain,
    ( ~ spl0_66
    | spl0_114 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s94,plain,
    ( ~ spl0_68
    | spl0_118 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s95,plain,
    ( ~ spl0_68
    | spl0_119 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s96,plain,
    ( ~ spl0_68
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s98,plain,
    ( ~ spl0_7
    | spl0_121 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s99,plain,
    ( ~ spl0_7
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s100,plain,
    ( ~ spl0_7
    | spl0_123 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s102,plain,
    ( ~ spl0_32
    | spl0_124 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s103,plain,
    ( ~ spl0_32
    | spl0_125 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s104,plain,
    ( ~ spl0_32
    | spl0_126 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s106,plain,
    ( ~ spl0_71
    | spl0_127 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s107,plain,
    ( ~ spl0_71
    | spl0_128 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s108,plain,
    ( ~ spl0_71
    | spl0_129 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s110,plain,
    ( ~ spl0_75
    | spl0_130 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s111,plain,
    ( ~ spl0_75
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s112,plain,
    ( ~ spl0_75
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s114,plain,
    ( ~ spl0_78
    | spl0_133 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s115,plain,
    ( ~ spl0_78
    | spl0_134 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s116,plain,
    ( ~ spl0_78
    | spl0_135 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s117,plain,
    ( spl0_3
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s118,plain,
    ( ~ spl0_82
    | spl0_136 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s119,plain,
    ( ~ spl0_82
    | spl0_137 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s120,plain,
    ( ~ spl0_82
    | spl0_138 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s122,plain,
    ( ~ spl0_33
    | spl0_139 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s123,plain,
    ( ~ spl0_33
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s124,plain,
    ( ~ spl0_33
    | spl0_141 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s125,plain,
    ( spl0_3
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s126,plain,
    ( ~ spl0_83
    | spl0_142 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s127,plain,
    ( ~ spl0_83
    | spl0_143 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s128,plain,
    ( ~ spl0_83
    | spl0_144 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s130,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s131,plain,
    ( ~ spl0_2
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s132,plain,
    ( ~ spl0_2
    | spl0_147 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s134,plain,
    ( ~ spl0_6
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s135,plain,
    ( ~ spl0_6
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s136,plain,
    ( ~ spl0_6
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s138,plain,
    ( ~ spl0_11
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s139,plain,
    ( ~ spl0_11
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s140,plain,
    ( ~ spl0_11
    | spl0_153 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s142,plain,
    ( ~ spl0_13
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s143,plain,
    ( ~ spl0_13
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s144,plain,
    ( ~ spl0_13
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s146,plain,
    ( ~ spl0_14
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s147,plain,
    ( ~ spl0_14
    | spl0_158 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s148,plain,
    ( ~ spl0_14
    | spl0_159 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s150,plain,
    ( ~ spl0_19
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s151,plain,
    ( ~ spl0_19
    | spl0_161 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s152,plain,
    ( ~ spl0_19
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s154,plain,
    ( ~ spl0_21
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s155,plain,
    ( ~ spl0_21
    | spl0_164 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s156,plain,
    ( ~ spl0_21
    | spl0_165 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s158,plain,
    ( ~ spl0_29
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f983]) ).

cnf(s159,plain,
    ( ~ spl0_29
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s160,plain,
    ( ~ spl0_29
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s162,plain,
    ( ~ spl0_31
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s163,plain,
    ( ~ spl0_31
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s164,plain,
    ( ~ spl0_31
    | spl0_171 ),
    inference(sat_conversion,[],[f1005]) ).

cnf(s166,plain,
    ( ~ spl0_35
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s167,plain,
    ( ~ spl0_35
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s168,plain,
    ( ~ spl0_35
    | spl0_174 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s170,plain,
    ( ~ spl0_36
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1025]) ).

cnf(s171,plain,
    ( ~ spl0_36
    | spl0_176 ),
    inference(sat_conversion,[],[f1029]) ).

cnf(s172,plain,
    ( ~ spl0_36
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s182,plain,
    ( ~ spl0_40
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s183,plain,
    ( ~ spl0_40
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s184,plain,
    ( ~ spl0_40
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s186,plain,
    ( ~ spl0_42
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s187,plain,
    ( ~ spl0_42
    | spl0_188 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s188,plain,
    ( ~ spl0_42
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f1089]) ).

cnf(s190,plain,
    ( ~ spl0_43
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f1095]) ).

cnf(s191,plain,
    ( ~ spl0_43
    | spl0_191 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s192,plain,
    ( ~ spl0_43
    | spl0_192 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s194,plain,
    ( ~ spl0_44
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s195,plain,
    ( ~ spl0_44
    | spl0_194 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s196,plain,
    ( ~ spl0_44
    | spl0_195 ),
    inference(sat_conversion,[],[f1117]) ).

cnf(s198,plain,
    ( ~ spl0_45
    | ~ spl0_196 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s199,plain,
    ( ~ spl0_45
    | ~ spl0_197 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s200,plain,
    ( ~ spl0_45
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s210,plain,
    ( ~ spl0_56
    | ~ spl0_205 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s211,plain,
    ( ~ spl0_56
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s212,plain,
    ( ~ spl0_56
    | spl0_207 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s214,plain,
    ( ~ spl0_62
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s215,plain,
    ( ~ spl0_62
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s216,plain,
    ( ~ spl0_62
    | spl0_210 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s218,plain,
    ( ~ spl0_65
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s219,plain,
    ( ~ spl0_65
    | spl0_212 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s220,plain,
    ( ~ spl0_65
    | ~ spl0_213 ),
    inference(sat_conversion,[],[f1201]) ).

cnf(s222,plain,
    ( ~ spl0_69
    | ~ spl0_214 ),
    inference(sat_conversion,[],[f1207]) ).

cnf(s223,plain,
    ( ~ spl0_69
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s224,plain,
    ( ~ spl0_69
    | ~ spl0_216 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s226,plain,
    ( ~ spl0_72
    | ~ spl0_217 ),
    inference(sat_conversion,[],[f1221]) ).

cnf(s227,plain,
    ( ~ spl0_72
    | ~ spl0_218 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s228,plain,
    ( ~ spl0_72
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f1229]) ).

cnf(s230,plain,
    ( ~ spl0_73
    | ~ spl0_220 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s231,plain,
    ( ~ spl0_73
    | spl0_221 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s232,plain,
    ( ~ spl0_73
    | spl0_222 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s234,plain,
    ( ~ spl0_20
    | ~ spl0_223 ),
    inference(sat_conversion,[],[f1249]) ).

cnf(s235,plain,
    ( ~ spl0_20
    | spl0_224 ),
    inference(sat_conversion,[],[f1253]) ).

cnf(s236,plain,
    ( ~ spl0_20
    | ~ spl0_225 ),
    inference(sat_conversion,[],[f1257]) ).

cnf(s238,plain,
    ( ~ spl0_74
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s239,plain,
    ( ~ spl0_74
    | spl0_227 ),
    inference(sat_conversion,[],[f1267]) ).

cnf(s240,plain,
    ( ~ spl0_74
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f1271]) ).

cnf(s242,plain,
    ( ~ spl0_18
    | ~ spl0_229 ),
    inference(sat_conversion,[],[f1277]) ).

cnf(s243,plain,
    ( ~ spl0_18
    | spl0_230 ),
    inference(sat_conversion,[],[f1281]) ).

cnf(s244,plain,
    ( ~ spl0_18
    | ~ spl0_231 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s246,plain,
    ( ~ spl0_77
    | ~ spl0_232 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s247,plain,
    ( ~ spl0_77
    | ~ spl0_233 ),
    inference(sat_conversion,[],[f1295]) ).

cnf(s248,plain,
    ( ~ spl0_77
    | ~ spl0_234 ),
    inference(sat_conversion,[],[f1299]) ).

cnf(s249,plain,
    ( spl0_3
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1300]) ).

cnf(s258,plain,
    ( ~ spl0_84
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s259,plain,
    ( ~ spl0_84
    | spl0_242 ),
    inference(sat_conversion,[],[f1337]) ).

cnf(s260,plain,
    ( ~ spl0_84
    | spl0_243 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s263,plain,
    ( ~ spl0_10
    | spl0_149
    | spl0_150
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1367]) ).

cnf(s264,plain,
    ( ~ spl0_10
    | spl0_232
    | spl0_233
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s292,plain,
    ( ~ spl0_10
    | spl0_155
    | spl0_156
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s294,plain,
    ( ~ spl0_25
    | ~ spl0_191
    | ~ spl0_192
    | spl0_258 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s326,plain,
    ( ~ spl0_16
    | spl0_152
    | ~ spl0_153
    | ~ spl0_248 ),
    inference(sat_conversion,[],[f1671]) ).

cnf(s332,plain,
    ( ~ spl0_22
    | spl0_229
    | ~ spl0_230
    | spl0_265 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s336,plain,
    ( ~ spl0_30
    | spl0_163
    | ~ spl0_165
    | spl0_255 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s349,plain,
    ( ~ spl0_1
    | spl0_163
    | ~ spl0_164
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s352,plain,
    ( ~ spl0_46
    | spl0_145
    | spl0_146
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f1767]) ).

cnf(s367,plain,
    ( ~ spl0_34
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1810]) ).

cnf(s372,plain,
    ( ~ spl0_41
    | spl0_145
    | ~ spl0_147
    | spl0_269 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s380,plain,
    ( ~ spl0_51
    | spl0_148
    | spl0_150
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s385,plain,
    ( ~ spl0_51
    | spl0_233
    | spl0_234
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s395,plain,
    ( ~ spl0_55
    | spl0_157
    | ~ spl0_158
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1927]) ).

cnf(s412,plain,
    ( ~ spl0_10
    | spl0_28
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1958]) ).

cnf(s421,plain,
    ( ~ spl0_58
    | spl0_193
    | ~ spl0_194
    | ~ spl0_262 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s513,plain,
    ( ~ spl0_46
    | spl0_107
    | spl0_108
    | ~ spl0_275 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s516,plain,
    ( ~ spl0_12
    | ~ spl0_119
    | spl0_120
    | spl0_274 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s530,plain,
    ( ~ spl0_30
    | ~ spl0_92
    | spl0_93
    | spl0_276 ),
    inference(sat_conversion,[],[f2287]) ).

cnf(s540,plain,
    ( ~ spl0_41
    | ~ spl0_118
    | spl0_120
    | spl0_274 ),
    inference(sat_conversion,[],[f2312]) ).

cnf(s544,plain,
    ( ~ spl0_51
    | spl0_172
    | spl0_173
    | ~ spl0_247 ),
    inference(sat_conversion,[],[f2316]) ).

cnf(s565,plain,
    ( ~ spl0_26
    | spl0_196
    | spl0_197
    | spl0_250 ),
    inference(sat_conversion,[],[f2338]) ).

cnf(s575,plain,
    ( ~ spl0_1
    | ~ spl0_91
    | ~ spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s580,plain,
    ( ~ spl0_15
    | spl0_214
    | spl0_215
    | spl0_216 ),
    inference(sat_conversion,[],[f2387]) ).

cnf(s592,plain,
    ( spl0_16
    | ~ spl0_60
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2410]) ).

cnf(s631,plain,
    ( spl0_12
    | ~ spl0_15
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f2546]) ).

cnf(s632,plain,
    ( spl0_12
    | ~ spl0_23
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f2547]) ).

cnf(s638,plain,
    ( ~ spl0_15
    | spl0_26
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s688,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_159
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f2660]) ).

cnf(s690,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f2662]) ).

cnf(s694,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2666]) ).

cnf(s708,plain,
    ( ~ spl0_25
    | ~ spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2680]) ).

cnf(s752,plain,
    ( ~ spl0_23
    | spl0_184
    | spl0_185
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f2722]) ).

cnf(s756,plain,
    ( ~ spl0_26
    | spl0_184
    | spl0_186
    | spl0_249 ),
    inference(sat_conversion,[],[f2726]) ).

cnf(s766,plain,
    ( ~ spl0_15
    | spl0_148
    | spl0_150
    | spl0_245 ),
    inference(sat_conversion,[],[f2744]) ).

cnf(s778,plain,
    ( ~ spl0_26
    | spl0_232
    | spl0_234
    | spl0_246 ),
    inference(sat_conversion,[],[f2767]) ).

cnf(s786,plain,
    ( ~ spl0_9
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f2810]) ).

cnf(s788,plain,
    ( ~ spl0_9
    | ~ spl0_194
    | ~ spl0_195
    | ~ spl0_262 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s790,plain,
    ( ~ spl0_15
    | spl0_184
    | spl0_185
    | spl0_186 ),
    inference(sat_conversion,[],[f2825]) ).

cnf(s795,plain,
    ( ~ spl0_25
    | ~ spl0_139
    | spl0_140
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f2844]) ).

cnf(s796,plain,
    ( ~ spl0_25
    | spl0_220
    | ~ spl0_221
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f2845]) ).

cnf(s798,plain,
    ( spl0_12
    | ~ spl0_15
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2847]) ).

cnf(s810,plain,
    ( spl0_12
    | ~ spl0_17
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f2859]) ).

cnf(s826,plain,
    ( ~ spl0_12
    | spl0_190
    | ~ spl0_191
    | spl0_258 ),
    inference(sat_conversion,[],[f2887]) ).

cnf(s850,plain,
    ( ~ spl0_15
    | spl0_172
    | spl0_173
    | spl0_247 ),
    inference(sat_conversion,[],[f2953]) ).

cnf(s861,plain,
    ( ~ spl0_57
    | spl0_140
    | ~ spl0_141
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f2995]) ).

cnf(s862,plain,
    ( ~ spl0_57
    | spl0_187
    | ~ spl0_188
    | ~ spl0_253 ),
    inference(sat_conversion,[],[f2996]) ).

cnf(s865,plain,
    ( ~ spl0_23
    | spl0_47
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f3001]) ).

cnf(s884,plain,
    ( ~ spl0_57
    | ~ spl0_109
    | ~ spl0_110
    | spl0_267 ),
    inference(sat_conversion,[],[f3022]) ).

cnf(s887,plain,
    ( ~ spl0_23
    | spl0_157
    | ~ spl0_158
    | spl0_266 ),
    inference(sat_conversion,[],[f3031]) ).

cnf(s892,plain,
    ( ~ spl0_28
    | ~ spl0_109
    | spl0_111
    | spl0_267 ),
    inference(sat_conversion,[],[f3062]) ).

cnf(s893,plain,
    ( ~ spl0_28
    | spl0_148
    | spl0_149
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f3063]) ).

cnf(s896,plain,
    ( ~ spl0_28
    | spl0_169
    | spl0_170
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3067]) ).

cnf(s901,plain,
    ( ~ spl0_28
    | spl0_226
    | ~ spl0_227
    | spl0_228 ),
    inference(sat_conversion,[],[f3074]) ).

cnf(s924,plain,
    ( ~ spl0_4
    | ~ spl0_91
    | spl0_93
    | ~ spl0_276 ),
    inference(sat_conversion,[],[f3114]) ).

cnf(s930,plain,
    ( ~ spl0_15
    | spl0_154
    | spl0_155
    | spl0_257 ),
    inference(sat_conversion,[],[f3132]) ).

cnf(s932,plain,
    ( ~ spl0_15
    | spl0_223
    | spl0_225
    | spl0_263 ),
    inference(sat_conversion,[],[f3134]) ).

cnf(s941,plain,
    ( ~ spl0_47
    | spl0_220
    | ~ spl0_221
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f3164]) ).

cnf(s947,plain,
    ( ~ spl0_60
    | spl0_145
    | ~ spl0_147
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f3186]) ).

cnf(s948,plain,
    ( ~ spl0_60
    | spl0_190
    | ~ spl0_192
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f3187]) ).

cnf(s949,plain,
    ( ~ spl0_60
    | spl0_241
    | ~ spl0_242
    | ~ spl0_243 ),
    inference(sat_conversion,[],[f3188]) ).

cnf(s968,plain,
    ( ~ spl0_16
    | ~ spl0_88
    | spl0_90
    | ~ spl0_283 ),
    inference(sat_conversion,[],[f3226]) ).

cnf(s970,plain,
    ( ~ spl0_16
    | ~ spl0_119
    | spl0_120
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f3228]) ).

cnf(s972,plain,
    ( ~ spl0_16
    | spl0_190
    | ~ spl0_191
    | ~ spl0_258 ),
    inference(sat_conversion,[],[f3230]) ).

cnf(s973,plain,
    ( ~ spl0_16
    | ~ spl0_224
    | spl0_225
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f3231]) ).

cnf(s981,plain,
    ( ~ spl0_34
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_276 ),
    inference(sat_conversion,[],[f3272]) ).

cnf(s982,plain,
    ( ~ spl0_34
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f3273]) ).

cnf(s992,plain,
    ( ~ spl0_26
    | spl0_166
    | spl0_167
    | spl0_168 ),
    inference(sat_conversion,[],[f3283]) ).

cnf(s1036,plain,
    ( ~ spl0_26
    | spl0_145
    | spl0_146
    | spl0_269 ),
    inference(sat_conversion,[],[f3345]) ).

cnf(s1039,plain,
    ( ~ spl0_27
    | ~ spl0_88
    | ~ spl0_89
    | spl0_90 ),
    inference(sat_conversion,[],[f3360]) ).

cnf(s1049,plain,
    ( ~ spl0_16
    | ~ spl0_194
    | ~ spl0_195
    | spl0_262 ),
    inference(sat_conversion,[],[f3371]) ).

cnf(s1050,plain,
    ( ~ spl0_41
    | ~ spl0_89
    | spl0_90
    | spl0_283 ),
    inference(sat_conversion,[],[f3383]) ).

cnf(s1056,plain,
    ( ~ spl0_51
    | spl0_157
    | ~ spl0_159
    | spl0_266 ),
    inference(sat_conversion,[],[f3408]) ).

cnf(s1061,plain,
    ( ~ spl0_60
    | ~ spl0_164
    | ~ spl0_165
    | spl0_255 ),
    inference(sat_conversion,[],[f3425]) ).

cnf(s1081,plain,
    ( ~ spl0_17
    | spl0_223
    | ~ spl0_224
    | spl0_225 ),
    inference(sat_conversion,[],[f3445]) ).

cnf(s1082,plain,
    ( ~ spl0_17
    | spl0_196
    | spl0_198
    | ~ spl0_250 ),
    inference(sat_conversion,[],[f3446]) ).

cnf(s1097,plain,
    ( ~ spl0_17
    | spl0_223
    | ~ spl0_224
    | spl0_225 ),
    inference(sat_conversion,[],[f3461]) ).

cnf(s1109,plain,
    ( ~ spl0_10
    | spl0_104
    | spl0_105
    | ~ spl0_260 ),
    inference(sat_conversion,[],[f3495]) ).

cnf(s1119,plain,
    ( ~ spl0_12
    | spl0_220
    | ~ spl0_221
    | spl0_284 ),
    inference(sat_conversion,[],[f3525]) ).

cnf(s1154,plain,
    ( ~ spl0_26
    | spl0_148
    | spl0_149
    | spl0_245 ),
    inference(sat_conversion,[],[f3559]) ).

cnf(s1156,plain,
    ( ~ spl0_26
    | spl0_217
    | spl0_218
    | spl0_219 ),
    inference(sat_conversion,[],[f3561]) ).

cnf(s1157,plain,
    ( ~ spl0_26
    | spl0_187
    | spl0_189
    | spl0_253 ),
    inference(sat_conversion,[],[f3562]) ).

cnf(s1174,plain,
    ( spl0_26
    | ~ spl0_41
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f3579]) ).

cnf(s1180,plain,
    ( ~ spl0_41
    | spl0_187
    | ~ spl0_188
    | spl0_253 ),
    inference(sat_conversion,[],[f3585]) ).

cnf(s1193,plain,
    ( ~ spl0_46
    | spl0_163
    | ~ spl0_164
    | spl0_255 ),
    inference(sat_conversion,[],[f3598]) ).

cnf(s1200,plain,
    ( ~ spl0_46
    | spl0_152
    | ~ spl0_153
    | spl0_248 ),
    inference(sat_conversion,[],[f3605]) ).

cnf(s1226,plain,
    ( ~ spl0_9
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f3646]) ).

cnf(s1227,plain,
    ( ~ spl0_9
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f3647]) ).

cnf(s1231,plain,
    ( ~ spl0_17
    | spl0_193
    | ~ spl0_195
    | spl0_262 ),
    inference(sat_conversion,[],[f3677]) ).

cnf(s1232,plain,
    ( ~ spl0_17
    | spl0_205
    | spl0_206
    | ~ spl0_207 ),
    inference(sat_conversion,[],[f3678]) ).

cnf(s1234,plain,
    ( ~ spl0_17
    | spl0_229
    | spl0_231
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f3680]) ).

cnf(s1237,plain,
    ( ~ spl0_23
    | spl0_211
    | ~ spl0_212
    | spl0_213 ),
    inference(sat_conversion,[],[f3696]) ).

cnf(s1239,plain,
    ( ~ spl0_26
    | spl0_154
    | spl0_156
    | spl0_257 ),
    inference(sat_conversion,[],[f3718]) ).

cnf(s1243,plain,
    ( ~ spl0_27
    | ~ spl0_139
    | ~ spl0_141
    | spl0_264 ),
    inference(sat_conversion,[],[f3736]) ).

cnf(s1250,plain,
    ( ~ spl0_41
    | spl0_140
    | ~ spl0_141
    | spl0_264 ),
    inference(sat_conversion,[],[f3772]) ).

cnf(s1259,plain,
    ( ~ spl0_46
    | ~ spl0_91
    | spl0_93
    | spl0_276 ),
    inference(sat_conversion,[],[f3808]) ).

cnf(s1261,plain,
    ( ~ spl0_46
    | ~ spl0_103
    | spl0_105
    | spl0_260 ),
    inference(sat_conversion,[],[f3810]) ).

cnf(s1265,plain,
    ( ~ spl0_46
    | spl0_209
    | ~ spl0_210
    | spl0_272 ),
    inference(sat_conversion,[],[f3814]) ).

cnf(s1266,plain,
    ( ~ spl0_51
    | ~ spl0_94
    | spl0_95
    | spl0_96 ),
    inference(sat_conversion,[],[f3832]) ).

cnf(s1273,plain,
    ( ~ spl0_61
    | spl0_104
    | spl0_105
    | spl0_260 ),
    inference(sat_conversion,[],[f3876]) ).

cnf(s1274,plain,
    ( ~ spl0_61
    | spl0_160
    | spl0_162
    | spl0_244 ),
    inference(sat_conversion,[],[f3877]) ).

cnf(s1275,plain,
    ( ~ spl0_61
    | spl0_175
    | spl0_177
    | spl0_277 ),
    inference(sat_conversion,[],[f3878]) ).

cnf(s1277,plain,
    ( ~ spl0_61
    | spl0_208
    | spl0_209
    | spl0_272 ),
    inference(sat_conversion,[],[f3880]) ).

cnf(s1279,plain,
    ( ~ spl0_61
    | spl0_229
    | spl0_231
    | spl0_265 ),
    inference(sat_conversion,[],[f3882]) ).

cnf(s1284,plain,
    ( ~ spl0_64
    | ~ spl0_221
    | ~ spl0_222
    | ~ spl0_284 ),
    inference(sat_conversion,[],[f3905]) ).

cnf(s1285,plain,
    ( ~ spl0_23
    | spl0_47
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f3906]) ).

cnf(s1298,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3913]) ).

cnf(s1319,plain,
    ( ~ spl0_22
    | spl0_160
    | ~ spl0_161
    | spl0_162 ),
    inference(sat_conversion,[],[f3933]) ).

cnf(s1373,plain,
    ( ~ spl0_9
    | ~ spl0_121
    | ~ spl0_123
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f3995]) ).

cnf(s1375,plain,
    ( ~ spl0_4
    | ~ spl0_103
    | spl0_105
    | ~ spl0_260 ),
    inference(sat_conversion,[],[f4027]) ).

cnf(s1376,plain,
    ( ~ spl0_4
    | ~ spl0_109
    | spl0_111
    | ~ spl0_267 ),
    inference(sat_conversion,[],[f4028]) ).

cnf(s1379,plain,
    ( ~ spl0_4
    | spl0_160
    | ~ spl0_161
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f4031]) ).

cnf(s1380,plain,
    ( ~ spl0_4
    | spl0_163
    | ~ spl0_164
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f4032]) ).

cnf(s1381,plain,
    ( ~ spl0_4
    | ~ spl0_176
    | spl0_177
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f4033]) ).

cnf(s1385,plain,
    ( ~ spl0_22
    | ~ spl0_103
    | spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f4056]) ).

cnf(s1386,plain,
    ( ~ spl0_22
    | spl0_151
    | ~ spl0_153
    | spl0_248 ),
    inference(sat_conversion,[],[f4057]) ).

cnf(s1387,plain,
    ( ~ spl0_22
    | spl0_175
    | ~ spl0_176
    | spl0_177 ),
    inference(sat_conversion,[],[f4058]) ).

cnf(s1389,plain,
    ( ~ spl0_22
    | spl0_229
    | ~ spl0_230
    | spl0_265 ),
    inference(sat_conversion,[],[f4060]) ).

cnf(s1391,plain,
    ( ~ spl0_25
    | ~ spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f4071]) ).

cnf(s1394,plain,
    ( ~ spl0_58
    | ~ spl0_103
    | spl0_104
    | ~ spl0_260 ),
    inference(sat_conversion,[],[f4093]) ).

cnf(s1396,plain,
    ( ~ spl0_58
    | spl0_157
    | ~ spl0_159
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f4095]) ).

cnf(s1397,plain,
    ( ~ spl0_58
    | spl0_175
    | ~ spl0_176
    | ~ spl0_277 ),
    inference(sat_conversion,[],[f4096]) ).

cnf(s1399,plain,
    ( ~ spl0_60
    | ~ spl0_100
    | ~ spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f4111]) ).

cnf(s1400,plain,
    ( ~ spl0_70
    | spl0_122
    | ~ spl0_123
    | ~ spl0_270 ),
    inference(sat_conversion,[],[f4134]) ).

cnf(s1401,plain,
    ( ~ spl0_70
    | spl0_157
    | ~ spl0_158
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f4135]) ).

cnf(s1402,plain,
    ( ~ spl0_70
    | spl0_229
    | ~ spl0_230
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f4136]) ).

cnf(s1408,plain,
    ( ~ spl0_76
    | spl0_187
    | ~ spl0_188
    | spl0_189 ),
    inference(sat_conversion,[],[f4155]) ).

cnf(s1410,plain,
    ( ~ spl0_46
    | ~ spl0_130
    | spl0_131
    | spl0_132 ),
    inference(sat_conversion,[],[f4162]) ).

cnf(s1415,plain,
    ( ~ spl0_22
    | spl0_46
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f4167]) ).

cnf(s1416,plain,
    ( spl0_46
    | ~ spl0_60
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f4168]) ).

cnf(s1423,plain,
    ( ~ spl0_12
    | spl0_172
    | ~ spl0_174
    | spl0_247 ),
    inference(sat_conversion,[],[f4174]) ).

cnf(s1430,plain,
    ( ~ spl0_12
    | ~ spl0_224
    | spl0_225
    | spl0_263 ),
    inference(sat_conversion,[],[f4181]) ).

cnf(s1431,plain,
    ( ~ spl0_12
    | ~ spl0_139
    | spl0_140
    | spl0_264 ),
    inference(sat_conversion,[],[f4182]) ).

cnf(s1433,plain,
    ( ~ spl0_12
    | ~ spl0_88
    | spl0_90
    | spl0_283 ),
    inference(sat_conversion,[],[f4184]) ).

cnf(s1434,plain,
    ( ~ spl0_15
    | spl0_196
    | spl0_197
    | spl0_198 ),
    inference(sat_conversion,[],[f4185]) ).

cnf(s1452,plain,
    ( ~ spl0_23
    | spl0_122
    | ~ spl0_123
    | spl0_270 ),
    inference(sat_conversion,[],[f4199]) ).

cnf(s1457,plain,
    ( spl0_12
    | ~ spl0_23
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f4202]) ).

cnf(s1475,plain,
    ( ~ spl0_34
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f4216]) ).

cnf(s1482,plain,
    ( ~ spl0_47
    | spl0_172
    | ~ spl0_174
    | ~ spl0_247 ),
    inference(sat_conversion,[],[f4223]) ).

cnf(s1483,plain,
    ( ~ spl0_47
    | ~ spl0_158
    | ~ spl0_159
    | spl0_266 ),
    inference(sat_conversion,[],[f4224]) ).

cnf(s1484,plain,
    ( ~ spl0_47
    | ~ spl0_139
    | spl0_140
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f4225]) ).

cnf(s1496,plain,
    ( ~ spl0_26
    | spl0_107
    | spl0_108
    | spl0_275 ),
    inference(sat_conversion,[],[f4237]) ).

cnf(s1499,plain,
    ( ~ spl0_4
    | spl0_209
    | ~ spl0_210
    | ~ spl0_272 ),
    inference(sat_conversion,[],[f4240]) ).

cnf(s1520,plain,
    ( spl0_9
    | ~ spl0_64
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f4261]) ).

cnf(s1521,plain,
    spl0_3,
    inference(rat,[],[s43,s117,s125,s249]) ).

cnf(s1522,plain,
    ( spl0_16
    | spl0_26
    | spl0_8 ),
    inference(rat,[],[s1232,s210,s211,s212,s7,s24,s1521]) ).

cnf(s1523,plain,
    ( ~ spl0_56
    | ~ spl0_17 ),
    inference(rat,[],[s1232,s210,s211,s212]) ).

cnf(s1524,plain,
    ( spl0_34
    | spl0_26
    | spl0_12 ),
    inference(rat,[],[s949,s258,s259,s260,s48,s49,s1521]) ).

cnf(s1525,plain,
    ( ~ spl0_83
    | ~ spl0_34 ),
    inference(rat,[],[s1475,s126,s127,s128]) ).

cnf(s1527,plain,
    ( ~ spl0_71
    | ~ spl0_34 ),
    inference(rat,[],[s982,s106,s107,s108]) ).

cnf(s1528,plain,
    ( spl0_12
    | spl0_11
    | ~ spl0_10
    | spl0_9 ),
    inference(rat,[],[s39,s1097,s234,s235,s236,s38,s1401,s1483,s34,s1527,s1524,s146,s147,s148,s6,s930,s1239,s292,s142,s143,s144,s4,s1521]) ).

cnf(s1529,plain,
    ( ~ spl0_33
    | ~ spl0_47
    | ~ spl0_12 ),
    inference(rat,[],[s1484,s1431,s122,s123]) ).

cnf(s1531,plain,
    ( ~ spl0_29
    | ~ spl0_26 ),
    inference(rat,[],[s992,s158,s159,s160]) ).

cnf(s1533,plain,
    ( spl0_18
    | spl0_20
    | spl0_9 ),
    inference(rat,[],[s1319,s150,s151,s152,s8,s41,s1521]) ).

cnf(s1534,plain,
    ( ~ spl0_18
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(rat,[],[s1234,s1279,s242,s244]) ).

cnf(s1535,plain,
    ( ~ spl0_17
    | ~ spl0_61
    | spl0_9 ),
    inference(rat,[],[s1081,s234,s235,s236,s1533,s1534]) ).

cnf(s1536,plain,
    ( ~ spl0_19
    | ~ spl0_61
    | ~ spl0_4 ),
    inference(rat,[],[s1274,s1379,s150,s151,s152]) ).

cnf(s1537,plain,
    ( ~ spl0_24
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(rat,[],[s968,s1433,s54,s56]) ).

cnf(s1539,plain,
    ( ~ spl0_36
    | ~ spl0_22 ),
    inference(rat,[],[s1387,s170,s171,s172]) ).

cnf(s1540,plain,
    ( ~ spl0_35
    | ~ spl0_47
    | ~ spl0_12 ),
    inference(rat,[],[s1423,s1482,s166,s168]) ).

cnf(s1541,plain,
    ( ~ spl0_34
    | ~ spl0_12
    | spl0_9
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1275,s1381,s170,s171,s172,s15,s1540,s34,s47,s1527,s1525,s1521]) ).

cnf(s1542,plain,
    ( ~ spl0_47
    | spl0_34
    | ~ spl0_12
    | spl0_1 ),
    inference(rat,[],[s1539,s15,s14,s1540,s1529,s1521]) ).

cnf(s1543,plain,
    ( ~ spl0_36
    | ~ spl0_61
    | ~ spl0_4 ),
    inference(rat,[],[s1275,s1381,s170,s171,s172]) ).

cnf(s1544,plain,
    ( ~ spl0_45
    | ~ spl0_15 ),
    inference(rat,[],[s1434,s198,s199,s200]) ).

cnf(s1546,plain,
    ( ~ spl0_72
    | ~ spl0_26 ),
    inference(rat,[],[s1156,s226,s227,s228]) ).

cnf(s1547,plain,
    ( ~ spl0_75
    | ~ spl0_46 ),
    inference(rat,[],[s1410,s110,s111,s112]) ).

cnf(s1549,plain,
    ( ~ spl0_44
    | ~ spl0_58
    | ~ spl0_16 ),
    inference(rat,[],[s421,s1049,s194,s195,s196]) ).

cnf(s1550,plain,
    ( ~ spl0_43
    | ~ spl0_25
    | ~ spl0_16 ),
    inference(rat,[],[s972,s294,s190,s191,s192]) ).

cnf(s1551,plain,
    ( spl0_57
    | spl0_75
    | spl0_43
    | ~ spl0_16
    | spl0_8 ),
    inference(rat,[],[s1408,s186,s187,s188,s18,s1549,s42,s25,s1521]) ).

cnf(s1558,plain,
    ( ~ spl0_62
    | ~ spl0_46
    | ~ spl0_4 ),
    inference(rat,[],[s1265,s1499,s215,s216]) ).

cnf(s1559,plain,
    ( ~ spl0_46
    | spl0_43
    | spl0_17
    | ~ spl0_10
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s892,s1376,s82,s84,s27,s1558,s412,s1551,s1547,s7,s1521]) ).

cnf(s1560,plain,
    ( ~ spl0_62
    | ~ spl0_61
    | ~ spl0_4 ),
    inference(rat,[],[s1277,s1499,s214,s215,s216]) ).

cnf(s1561,plain,
    ( spl0_20
    | spl0_15
    | ~ spl0_61
    | spl0_9 ),
    inference(rat,[],[s1402,s1279,s242,s243,s244,s38,s1533,s1521]) ).

cnf(s1562,plain,
    ( ~ spl0_20
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(rat,[],[s973,s1430,s235,s236]) ).

cnf(s1564,plain,
    ( ~ spl0_43
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(rat,[],[s972,s826,s190,s191]) ).

cnf(s1565,plain,
    ( spl0_17
    | spl0_47
    | spl0_34
    | ~ spl0_12
    | spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1546,s35,s10,s795,s122,s123,s124,s14,s1389,s1056,s1402,s1401,s146,s147,s148,s38,s6,s1544,s19,s1559,s1564,s242,s243,s1533,s1562,s1537,s7,s3,s1521]) ).

cnf(s1566,plain,
    ( ~ spl0_21
    | ~ spl0_46
    | ~ spl0_4 ),
    inference(rat,[],[s1193,s1380,s154,s155]) ).

cnf(s1568,plain,
    ( spl0_16
    | spl0_47
    | spl0_9 ),
    inference(rat,[],[s1531,s12,s31,s1521]) ).

cnf(s1569,plain,
    ( spl0_47
    | spl0_34
    | ~ spl0_4
    | ~ spl0_12
    | spl0_9
    | spl0_8 ),
    inference(rat,[],[s1082,s565,s198,s199,s200,s19,s1547,s1551,s10,s861,s795,s1431,s122,s123,s124,s14,s1389,s1234,s242,s243,s244,s1533,s1564,s1562,s1537,s1568,s1565,s1521]) ).

cnf(s1570,plain,
    ( ~ spl0_12
    | spl0_9
    | spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1569,s1542,s1541]) ).

cnf(s1571,plain,
    ( spl0_47
    | spl0_12
    | spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1380,s1061,s154,s155,s156,s9,s865,s25,s1396,s1056,s35,s146,s148,s795,s6,s122,s123,s124,s1544,s14,s19,s1546,s1386,s1200,s1524,s48,s326,s1527,s1568,s34,s140,s139,s138,s1528,s3,s1521]) ).

cnf(s1572,plain,
    ( ~ spl0_65
    | ~ spl0_23 ),
    inference(rat,[],[s1237,s218,s219,s220]) ).

cnf(s1578,plain,
    ( ~ spl0_84
    | ~ spl0_60 ),
    inference(rat,[],[s949,s258,s259,s260]) ).

cnf(s1579,plain,
    ( ~ spl0_48
    | ~ spl0_51 ),
    inference(rat,[],[s1266,s62,s63,s64]) ).

cnf(s1580,plain,
    ( ~ spl0_40
    | ~ spl0_15 ),
    inference(rat,[],[s790,s182,s183,s184]) ).

cnf(s1581,plain,
    ( ~ spl0_39
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s924,s530,s58,s59,s60]) ).

cnf(s1582,plain,
    ( spl0_34
    | ~ spl0_47
    | spl0_151
    | spl0_152
    | ~ spl0_153
    | spl0_12
    | spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s1380,s336,s154,s155,s156,s9,s752,s756,s182,s183,s184,s17,s1581,s20,s1579,s35,s1243,s1250,s795,s1484,s122,s123,s124,s14,s1386,s326,s12,s1546,s1531,s1524,s1521]) ).

cnf(s1583,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1483,s1396,s146,s147,s148,s25,s6,s884,s850,s1376,s1482,s82,s83,s84,s166,s167,s168,s27,s15,s1560,s1543,s1535,s47,s1525,s1582,s1571,s138,s139,s140,s1528,s1570,s3,s1521]) ).

cnf(s1584,plain,
    ( ~ spl0_15
    | ~ spl0_141
    | spl0_140
    | spl0_34
    | ~ spl0_47
    | spl0_12
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s850,s1482,s166,s167,s168,s15,s1539,s14,s122,s1484,s1250,s17,s1581,s20,s1579,s35,s1580,s631,s798,s1546,s1524,s1521]) ).

cnf(s1585,plain,
    ( ~ spl0_14
    | ~ spl0_47
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s1483,s688,s147,s148]) ).

cnf(s1586,plain,
    ( ~ spl0_35
    | ~ spl0_15
    | ~ spl0_47 ),
    inference(rat,[],[s850,s1482,s166,s167,s168]) ).

cnf(s1587,plain,
    ( spl0_34
    | ~ spl0_15
    | ~ spl0_47
    | spl0_12
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1584,s123,s124,s14,s1539,s15,s1586,s1521]) ).

cnf(s1588,plain,
    ( ~ spl0_47
    | spl0_12
    | ~ spl0_9
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1525,s1587,s47,s1543,s15,s1586,s6,s1585,s1521]) ).

cnf(s1589,plain,
    ( ~ spl0_15
    | spl0_72
    | spl0_47
    | spl0_12
    | spl0_23
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s850,s544,s166,s167,s15,s1539,s9,s1566,s19,s35,s1544,s798,s1521]) ).

cnf(s1590,plain,
    ( ~ spl0_46
    | spl0_43
    | spl0_17
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s884,s1376,s82,s83,s84,s27,s1551,s1558,s1547,s7,s1521]) ).

cnf(s1591,plain,
    ( spl0_34
    | spl0_12
    | spl0_23
    | spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s123,s795,s122,s124,s14,s1415,s1590,s1550,s7,s810,s35,s1056,s688,s146,s148,s6,s1589,s1546,s1524,s48,s1588,s1583,s1521]) ).

cnf(s1592,plain,
    ( ~ spl0_15
    | ~ spl0_34
    | spl0_47
    | spl0_12
    | spl0_23
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s981,s1259,s58,s59,s60,s17,s1174,s1546,s19,s1589,s1580,s1544,s47,s1525,s1521]) ).

cnf(s1593,plain,
    ( spl0_20
    | spl0_15
    | spl0_19
    | ~ spl0_61 ),
    inference(rat,[],[s1279,s1402,s242,s243,s244,s38,s8,s1521]) ).

cnf(s1595,plain,
    ( ~ spl0_32
    | ~ spl0_9 ),
    inference(rat,[],[s1226,s102,s103,s104]) ).

cnf(s1596,plain,
    ( ~ spl0_66
    | ~ spl0_25 ),
    inference(rat,[],[s1391,s86,s87,s88]) ).

cnf(s1599,plain,
    ( ~ spl0_78
    | ~ spl0_34 ),
    inference(rat,[],[s367,s114,s115,s116]) ).

cnf(s1600,plain,
    ( ~ spl0_77
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(rat,[],[s264,s778,s246,s247,s248]) ).

cnf(s1601,plain,
    ( spl0_12
    | spl0_23
    | spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s123,s795,s122,s124,s43,s1600,s1599,s33,s1416,s1590,s1550,s35,s1546,s39,s7,s1097,s234,s235,s236,s1593,s1056,s688,s146,s148,s6,s1592,s1536,s47,s1527,s1525,s1591,s1588,s1583,s1521]) ).

cnf(s1602,plain,
    ( ~ spl0_20
    | ~ spl0_12
    | spl0_8 ),
    inference(rat,[],[s7,s1097,s1562,s234,s235,s236,s1521]) ).

cnf(s1603,plain,
    ( ~ spl0_61
    | ~ spl0_12
    | spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1590,s1564,s19,s7,s1544,s1534,s1593,s8,s1540,s15,s1543,s1536,s1602,s1521]) ).

cnf(s1604,plain,
    ( ~ spl0_78
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s1298,s114,s115]) ).

cnf(s1605,plain,
    ( spl0_33
    | ~ spl0_26
    | spl0_46
    | spl0_78
    | spl0_34
    | spl0_23 ),
    inference(rat,[],[s33,s1600,s1415,s43,s14,s1521]) ).

cnf(s1606,plain,
    ( ~ spl0_26
    | spl0_46
    | spl0_51
    | spl0_78
    | spl0_34
    | spl0_23 ),
    inference(rat,[],[s708,s122,s123,s124,s1605,s35,s1546,s1521]) ).

cnf(s1607,plain,
    ( ~ spl0_71
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(rat,[],[s690,s107,s108]) ).

cnf(s1608,plain,
    ( spl0_17
    | spl0_51
    | spl0_71
    | spl0_78
    | spl0_34
    | ~ spl0_12
    | spl0_23
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1590,s1606,s1564,s39,s7,s1521]) ).

cnf(s1609,plain,
    ( ~ spl0_42
    | ~ spl0_57
    | ~ spl0_26 ),
    inference(rat,[],[s862,s1157,s186,s187,s188]) ).

cnf(s1610,plain,
    ( ~ spl0_44
    | ~ spl0_17
    | ~ spl0_9 ),
    inference(rat,[],[s1231,s788,s194,s195,s196]) ).

cnf(s1611,plain,
    ( ~ spl0_16
    | spl0_75
    | ~ spl0_26
    | spl0_44
    | ~ spl0_12
    | spl0_8 ),
    inference(rat,[],[s1609,s18,s1551,s1564]) ).

cnf(s1612,plain,
    ( ~ spl0_26
    | spl0_44
    | spl0_51
    | ~ spl0_70
    | spl0_78
    | spl0_34
    | spl0_61
    | ~ spl0_12
    | spl0_23
    | spl0_8 ),
    inference(rat,[],[s513,s1496,s79,s80,s26,s592,s1611,s1547,s1606,s1521]) ).

cnf(s1614,plain,
    ( ~ spl0_18
    | ~ spl0_22
    | ~ spl0_70 ),
    inference(rat,[],[s332,s1402,s242,s243]) ).

cnf(s1615,plain,
    ( ~ spl0_22
    | ~ spl0_70
    | spl0_20 ),
    inference(rat,[],[s1319,s150,s151,s152,s8,s1614]) ).

cnf(s1616,plain,
    ( spl0_15
    | spl0_34
    | spl0_61
    | ~ spl0_12
    | spl0_23
    | ~ spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s708,s122,s123,s124,s14,s1615,s10,s1537,s1522,s1612,s1610,s1608,s1056,s1401,s146,s147,s148,s38,s6,s1602,s1604,s1607,s1521]) ).

cnf(s1617,plain,
    ( ~ spl0_42
    | ~ spl0_26
    | spl0_75 ),
    inference(rat,[],[s42,s1408,s1609,s186,s187,s188,s1521]) ).

cnf(s1618,plain,
    ( ~ spl0_26
    | spl0_44
    | spl0_51
    | ~ spl0_46
    | spl0_61 ),
    inference(rat,[],[s513,s1496,s79,s80,s26,s948,s294,s190,s191,s192,s18,s1617,s35,s1546,s1547,s1521]) ).

cnf(s1619,plain,
    ( spl0_8
    | ~ spl0_7
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s896,s412,s162,s163,s164,s33,s1551,s13,s1578,s1564,s638,s49,s1522,s1618,s1610,s1608,s544,s1423,s166,s167,s168,s15,s1539,s9,s1566,s1547,s19,s1544,s1616,s1607,s1604,s1542,s1525,s47,s1603,s1601,s1595,s1452,s1373,s1583,s100,s99,s98,s1521]) ).

cnf(s1620,plain,
    ( ~ spl0_21
    | ~ spl0_60
    | ~ spl0_4 ),
    inference(rat,[],[s1380,s1061,s154,s155,s156]) ).

cnf(s1621,plain,
    ( spl0_12
    | spl0_34
    | spl0_22
    | ~ spl0_4 ),
    inference(rat,[],[s752,s756,s182,s183,s184,s17,s1581,s20,s632,s1457,s9,s1620,s1579,s35,s1546,s1524,s48,s708,s122,s124,s123,s14,s1521]) ).

cnf(s1622,plain,
    ( ~ spl0_26
    | spl0_15
    | ~ spl0_12
    | spl0_25
    | ~ spl0_4 ),
    inference(rat,[],[s1562,s38,s12,s1401,s688,s1056,s35,s1546,s1531,s148,s147,s146,s6,s1521]) ).

cnf(s1623,plain,
    ( ~ spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1537,s10,s31,s1622,s1544,s19,s1542,s1621,s708,s122,s123,s124,s14,s1525,s47,s1273,s1261,s1375,s1385,s74,s75,s76,s1521]) ).

cnf(s1624,plain,
    ( spl0_12
    | ~ spl0_6
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s887,s688,s146,s147,s148,s6,s766,s893,s11,s796,s230,s231,s232,s36,s865,s632,s1588,s1601,s1583,s1619,s1623,s136,s135,s134,s1521]) ).

cnf(s1625,plain,
    ( spl0_23
    | spl0_51
    | ~ spl0_26
    | spl0_34
    | spl0_61
    | ~ spl0_12
    | ~ spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s1610,s1618,s1608,s1606,s1604,s1607]) ).

cnf(s1626,plain,
    ( ~ spl0_26
    | spl0_47
    | spl0_34
    | spl0_61
    | ~ spl0_12
    | spl0_148
    | spl0_149
    | spl0_150
    | spl0_7
    | ~ spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s796,s230,s231,s232,s36,s865,s1625,s35,s380,s1154,s1546,s1521]) ).

cnf(s1627,plain,
    ( spl0_23
    | spl0_60
    | spl0_34
    | spl0_61
    | ~ spl0_12
    | spl0_148
    | spl0_149
    | spl0_150
    | ~ spl0_9
    | spl0_8
    | ~ spl0_4 ),
    inference(rat,[],[s263,s766,s33,s1616,s1521]) ).

cnf(s1628,plain,
    ( spl0_47
    | spl0_34
    | ~ spl0_4
    | spl0_61
    | ~ spl0_12
    | spl0_148
    | spl0_149
    | spl0_150
    | spl0_7
    | ~ spl0_9
    | spl0_8 ),
    inference(rat,[],[s796,s230,s231,s232,s36,s865,s1627,s10,s1578,s1537,s49,s1522,s1626,s1521]) ).

cnf(s1629,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1628,s1542,s1525,s47,s1603,s1624,s134,s135,s136,s1583,s1619,s1623,s1521]) ).

cnf(s1630,plain,
    ( spl0_8
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s694,s50,s51,s2,s1629,s1619,s1583]) ).

cnf(s1631,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s1630,s1623]) ).

cnf(s1632,plain,
    ( spl0_25
    | spl0_72
    | ~ spl0_9
    | spl0_28
    | spl0_12 ),
    inference(rat,[],[s1056,s1227,s146,s147,s148,s6,s631,s35,s11,s1521]) ).

cnf(s1633,plain,
    ( ~ spl0_26
    | ~ spl0_9
    | spl0_78
    | spl0_28
    | spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s708,s122,s123,s124,s43,s1600,s33,s887,s1227,s146,s147,s148,s6,s798,s1632,s947,s1036,s1546,s132,s131,s130,s1521]) ).

cnf(s1634,plain,
    ( ~ spl0_9
    | ~ spl0_34
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s786,s118,s119,s120,s45,s1174,s1633,s1,s901,s238,s239,s240,s40,s1631,s1599,s47,s1525,s1521]) ).

cnf(s1635,plain,
    ( ~ spl0_34
    | spl0_12
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s1243,s11,s1484,s708,s122,s123,s124,s43,s1600,s39,s1535,s34,s3,s1634,s47,s1599,s1527,s1525,s901,s238,s239,s240,s40,s1631,s1521]) ).

cnf(s1636,plain,
    ( spl0_12
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s1036,s947,s1524,s48,s1635,s132,s131,s130,s1,s1631,s1521]) ).

cnf(s1637,plain,
    ( ~ spl0_33
    | spl0_46
    | spl0_72
    | spl0_20
    | ~ spl0_12 ),
    inference(rat,[],[s1056,s1401,s146,s147,s148,s38,s6,s1544,s35,s19,s708,s1529,s122,s123,s124,s1521]) ).

cnf(s1638,plain,
    ( spl0_15
    | ~ spl0_23
    | spl0_20 ),
    inference(rat,[],[s887,s1401,s146,s147,s38,s6,s1521]) ).

cnf(s1639,plain,
    ( ~ spl0_26
    | ~ spl0_9
    | ~ spl0_34
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s1049,s788,s195,s196,s18,s1609,s25,s1564,s1397,s37,s1275,s1539,s170,s171,s172,s15,s1540,s19,s1544,s1638,s33,s1600,s43,s1637,s947,s352,s1036,s1546,s132,s131,s130,s1,s1631,s1602,s1636,s1599,s47,s1525,s1595,s1521]) ).

cnf(s1640,plain,
    ( ~ spl0_9
    | ~ spl0_34
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s786,s118,s119,s120,s45,s1174,s1639,s1631,s47,s1525,s1521]) ).

cnf(s1641,plain,
    ( ~ spl0_34
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s1600,s43,s39,s1529,s1535,s34,s3,s1640,s47,s1599,s1527,s1525,s1636,s1521]) ).

cnf(s1642,plain,
    ( ~ spl0_26
    | spl0_47
    | spl0_34
    | spl0_20
    | ~ spl0_12
    | ~ spl0_2 ),
    inference(rat,[],[s38,s1615,s1544,s14,s19,s1637,s352,s1036,s1546,s131,s130,s1521]) ).

cnf(s1643,plain,
    ( ~ spl0_82
    | ~ spl0_9 ),
    inference(rat,[],[s786,s118,s119,s120]) ).

cnf(s1644,plain,
    ( ~ spl0_33
    | ~ spl0_25 ),
    inference(rat,[],[s708,s122,s123,s124]) ).

cnf(s1645,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s19,s352,s1544,s372,s38,s45,s1615,s1643,s14,s46,s1644,s10,s1537,s1522,s1642,s1542,s1641,s1602,s1636,s132,s131,s130,s1,s1631,s1521]) ).

cnf(s1646,plain,
    ( spl0_12
    | spl0_60
    | spl0_1 ),
    inference(rat,[],[s1596,s11,s29,s632,s1457,s33,s1394,s1109,s1273,s47,s901,s1525,s238,s239,s240,s48,s40,s1631,s76,s75,s74,s1645,s1521]) ).

cnf(s1647,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_23 ),
    inference(rat,[],[s1373,s1452,s98,s99,s100]) ).

cnf(s1648,plain,
    ( ~ spl0_73
    | ~ spl0_25 ),
    inference(rat,[],[s796,s230,s231,s232]) ).

cnf(s1649,plain,
    ( ~ spl0_9
    | spl0_73
    | ~ spl0_23
    | ~ spl0_12
    | ~ spl0_26
    | spl0_22 ),
    inference(rat,[],[s1049,s788,s195,s196,s18,s1609,s36,s1647,s1564,s37,s1595,s1521]) ).

cnf(s1653,plain,
    ( ~ spl0_69
    | ~ spl0_15 ),
    inference(rat,[],[s580,s222,s223,s224]) ).

cnf(s1654,plain,
    ( ~ spl0_34
    | ~ spl0_26
    | spl0_1 ),
    inference(rat,[],[s516,s970,s95,s96,s32,s1653,s1561,s1562,s1520,s12,s1649,s1648,s35,s385,s778,s246,s247,s248,s43,s1529,s1285,s28,s1572,s33,s1394,s1109,s1273,s47,s1599,s1525,s1385,s74,s75,s76,s1645,s1531,s1546,s1646,s947,s1036,s131,s132,s130,s1,s1631,s1521]) ).

cnf(s1655,plain,
    ( ~ spl0_26
    | spl0_1 ),
    inference(rat,[],[s1595,s37,s12,s1562,s1642,s1542,s1654,s1646,s947,s1036,s1531,s132,s131,s130,s1,s1631,s1385,s74,s75,s76,s1645,s1521]) ).

cnf(s1656,plain,
    ( ~ spl0_33
    | ~ spl0_12
    | spl0_26 ),
    inference(rat,[],[s1537,s10,s31,s1644,s1529,s1521]) ).

cnf(s1657,plain,
    ( spl0_33
    | spl0_1 ),
    inference(rat,[],[s1174,s47,s45,s1525,s1643,s14,s46,s1631,s1385,s74,s75,s76,s1645,s1655,s1521]) ).

cnf(s1658,plain,
    spl0_1,
    inference(rat,[],[s11,s901,s1039,s238,s239,s240,s54,s55,s56,s40,s10,s1656,s1644,s1657,s1655,s1631,s1521]) ).

cnf(s1659,plain,
    ( ~ spl0_68
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(rat,[],[s516,s970,s95,s96]) ).

cnf(s1660,plain,
    ( ~ spl0_23
    | spl0_73
    | spl0_68
    | spl0_43
    | spl0_20
    | spl0_9
    | ~ spl0_26 ),
    inference(rat,[],[s1400,s1452,s99,s100,s36,s1609,s18,s1549,s28,s1520,s32,s1653,s1638,s1572,s12,s1531,s1521]) ).

cnf(s1662,plain,
    ( ~ spl0_23
    | spl0_9
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s1617,s18,s1547,s1549,s19,s28,s941,s1520,s1119,s32,s230,s231,s1653,s1544,s1660,s1638,s1572,s1562,s1564,s1659,s12,s1531,s1521]) ).

cnf(s1663,plain,
    ( spl0_70
    | spl0_68
    | spl0_20 ),
    inference(rat,[],[s1653,s32,s38,s1521]) ).

cnf(s1664,plain,
    ~ spl0_21,
    inference(rat,[],[s349,s154,s155,s156,s1658]) ).

cnf(s1665,plain,
    ( spl0_9
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s1615,s1663,s9,s1659,s1562,s1662,s12,s1531,s1521,s1664]) ).

cnf(s1666,plain,
    ( ~ spl0_16
    | ~ spl0_23
    | ~ spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s1617,s18,s1547,s1549,s19,s28,s941,s1284,s1119,s230,s231,s232,s1649,s1615,s1544,s1663,s1638,s1659,s1564,s1562,s1665,s1572,s1521]) ).

cnf(s1667,plain,
    ( ~ spl0_8
    | ~ spl0_22 ),
    inference(rat,[],[s1385,s74,s75,s76]) ).

cnf(s1669,plain,
    ( ~ spl0_18
    | ~ spl0_17
    | ~ spl0_22 ),
    inference(rat,[],[s1234,s332,s242,s243,s244]) ).

cnf(s1670,plain,
    ( ~ spl0_19
    | ~ spl0_22 ),
    inference(rat,[],[s1319,s150,s151,s152]) ).

cnf(s1671,plain,
    ( spl0_16
    | spl0_32
    | ~ spl0_12 ),
    inference(rat,[],[s8,s1602,s1670,s1669,s7,s1667,s37,s1521]) ).

cnf(s1672,plain,
    ( ~ spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s1615,s9,s1663,s1666,s1659,s1562,s1671,s1595,s1665,s1664,s1521]) ).

cnf(s1673,plain,
    ~ spl0_39,
    inference(rat,[],[s575,s58,s59,s60,s1658]) ).

cnf(s1674,plain,
    ( spl0_26
    | ~ spl0_12 ),
    inference(rat,[],[s1180,s862,s186,s187,s18,s17,s1610,s1580,s36,s39,s1638,s1647,s1527,s9,s14,s1615,s1648,s1663,s10,s1659,s1564,s1562,s1537,s1671,s1595,s46,s1656,s1664,s1673,s1521]) ).

cnf(s1675,plain,
    ~ spl0_12,
    inference(rat,[],[s1674,s1672]) ).

cnf(s1676,plain,
    ( ~ spl0_23
    | ~ spl0_26 ),
    inference(rat,[],[s752,s756,s182,s183,s184,s17,s1457,s1521,s1673,s1675]) ).

cnf(s1677,plain,
    ( ~ spl0_26
    | spl0_9 ),
    inference(rat,[],[s1386,s326,s138,s139,s140,s1528,s3,s1667,s9,s1676,s12,s1531,s1675,s1521,s1664]) ).

cnf(s1678,plain,
    spl0_9,
    inference(rat,[],[s1081,s234,s235,s236,s38,s1401,s1483,s146,s147,s148,s6,s1580,s17,s1250,s1484,s34,s39,s122,s123,s124,s1527,s46,s1524,s1677,s1521,s1673,s1675]) ).

cnf(s1680,plain,
    ~ spl0_82,
    inference(rat,[],[s1643,s1678]) ).

cnf(s1681,plain,
    ( spl0_20
    | ~ spl0_16
    | ~ spl0_22 ),
    inference(rat,[],[s540,s970,s17,s94,s95,s96,s1580,s1663,s38,s1615,s1521,s1673]) ).

cnf(s1682,plain,
    ( ~ spl0_60
    | spl0_43
    | spl0_55
    | spl0_17
    | ~ spl0_22 ),
    inference(rat,[],[s1399,s70,s71,s72,s23,s1590,s1415,s1667,s1521]) ).

cnf(s1683,plain,
    ( ~ spl0_16
    | ~ spl0_26 ),
    inference(rat,[],[s43,s1600,s1599,s33,s48,s1682,s1550,s1644,s35,s1056,s395,s1227,s146,s147,s148,s6,s932,s1097,s973,s234,s235,s236,s1681,s1546,s9,s1676,s1521,s1675,s1678,s1664]) ).

cnf(s1684,plain,
    ~ spl0_26,
    inference(rat,[],[s1081,s234,s235,s236,s8,s1669,s7,s1683,s1670,s1667,s9,s1676,s1521,s1664]) ).

cnf(s1685,plain,
    spl0_34,
    inference(rat,[],[s1524,s1675,s1684]) ).

cnf(s1687,plain,
    ~ spl0_71,
    inference(rat,[],[s1527,s1685]) ).

cnf(s1689,plain,
    spl0_17,
    inference(rat,[],[s39,s1684,s1521,s1687]) ).

cnf(s1690,plain,
    ~ spl0_25,
    inference(rat,[],[s810,s1675,s1689]) ).

cnf(s1691,plain,
    ~ spl0_56,
    inference(rat,[],[s1523,s1689]) ).

cnf(s1693,plain,
    spl0_24,
    inference(rat,[],[s10,s1684,s1521,s1690]) ).

cnf(s1694,plain,
    spl0_16,
    inference(rat,[],[s24,s1684,s1521,s1691]) ).

cnf(s1695,plain,
    ~ spl0_90,
    inference(rat,[],[s56,s1693]) ).

cnf(s1696,plain,
    spl0_89,
    inference(rat,[],[s55,s1693]) ).

cnf(s1697,plain,
    spl0_88,
    inference(rat,[],[s54,s1693]) ).

cnf(s1699,plain,
    ~ spl0_283,
    inference(rat,[],[s968,s1694,s1697,s1695]) ).

cnf(s1701,plain,
    ~ spl0_41,
    inference(rat,[],[s1050,s1696,s1695,s1699]) ).

cnf(s1703,plain,
    spl0_40,
    inference(rat,[],[s17,s1673,s1521,s1701]) ).

cnf(s1704,plain,
    spl0_4,
    inference(rat,[],[s45,s1680,s1521,s1701]) ).

cnf(s1708,plain,
    ~ spl0_15,
    inference(rat,[],[s1580,s1703]) ).

cnf(s1710,plain,
    spl0_14,
    inference(rat,[],[s6,s1521,s1708]) ).

cnf(s1711,plain,
    spl0_159,
    inference(rat,[],[s148,s1710]) ).

cnf(s1712,plain,
    spl0_158,
    inference(rat,[],[s147,s1710]) ).

cnf(s1713,plain,
    ~ spl0_157,
    inference(rat,[],[s146,s1710]) ).

cnf(s1715,plain,
    ~ spl0_266,
    inference(rat,[],[s688,s1704,s1678,s1711]) ).

cnf(s1717,plain,
    ~ spl0_23,
    inference(rat,[],[s887,s1712,s1715,s1713]) ).

cnf(s1719,plain,
    spl0_22,
    inference(rat,[],[s9,s1664,s1521,s1717]) ).

cnf(s1725,plain,
    spl0_20,
    inference(rat,[],[s1681,s1694,s1719]) ).

cnf(s1729,plain,
    ~ spl0_225,
    inference(rat,[],[s236,s1725]) ).

cnf(s1730,plain,
    spl0_224,
    inference(rat,[],[s235,s1725]) ).

cnf(s1731,plain,
    ~ spl0_223,
    inference(rat,[],[s234,s1725]) ).

cnf(s1733,plain,
    $false,
    inference(rat,[],[s1081,s1730,s1689,s1729,s1731]) ).

fof(f4262,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1733]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN439+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n002.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:02:22 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.17  % (478072)Detected formulas, will run a generic FOF schedule.
% 3.76/1.17  % (478081)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2979718981:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.76/1.17  % (478081)Instruction limit reached! 
% 3.76/1.17  % (478081)------------------------------
% 3.76/1.17  % (478081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.17  % (478081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.17  % (478081)CaDiCaL version: 2.1.3
% 3.76/1.17  % (478081)Termination reason: Instruction limit
% 3.76/1.17  % (478081)Termination phase: Saturation
% 3.76/1.17  % (478081)Time elapsed: 0.031 s
% 3.76/1.17  % (478081)Peak memory usage: 88 MB
% 3.76/1.17  % (478081)Instructions burned: 120 (million)
% 3.76/1.17  % (478078)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=3176930399:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.76/1.17  % (478083)dis-21_1_sil=8000:lcm=predicate:random_seed=4138227123:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.76/1.17  % (478079)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=3326952287:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.76/1.17  % (478080)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3839202007:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.76/1.17  % (478082)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2945958795:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.76/1.17  % (478077)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=3545713921:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.76/1.17  % (478083)First to succeed.
% 3.76/1.17  % (478080)Instruction limit reached! 
% 3.76/1.17  % (478080)------------------------------
% 3.76/1.17  % (478080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.17  % (478080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.17  % (478080)CaDiCaL version: 2.1.3
% 3.76/1.17  % (478080)Termination reason: Instruction limit
% 3.76/1.17  % (478080)Termination phase: Saturation
% 3.76/1.17  % (478080)Time elapsed: 0.070 s
% 3.76/1.17  % (478080)Peak memory usage: 90 MB
% 3.76/1.17  % (478080)Instructions burned: 110 (million)
% 3.76/1.17  % (478083)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-478072"
% 3.76/1.17  % (478082)Instruction limit reached! 
% 3.76/1.17  % (478082)------------------------------
% 3.76/1.17  % (478082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.17  % (478082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.17  % (478082)CaDiCaL version: 2.1.3
% 3.76/1.17  % (478082)Termination reason: Instruction limit
% 3.76/1.17  % (478082)Termination phase: Saturation
% 3.76/1.17  % (478082)Time elapsed: 0.091 s
% 3.76/1.17  % (478082)Peak memory usage: 91 MB
% 3.76/1.17  % (478082)Instructions burned: 140 (million)
% 3.76/1.17  % (478085)lrs+10_1_sil=8000:sp=occurrence:random_seed=1569437714:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.76/1.17  % (478085)Also succeeded, but the first one will report.
% 3.76/1.17  % (478092)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3374901032:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.76/1.17  % (478093)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3371317123:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.76/1.17  % (478083)Refutation found. Thanks to Tanya!
% 3.76/1.17  % SZS status Theorem for theBenchmark
% 3.76/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 4.21/1.37  % (478083)------------------------------
% 4.21/1.37  % (478083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.37  % (478083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.37  % (478083)CaDiCaL version: 2.1.3
% 4.21/1.37  % (478083)Termination reason: Refutation
% 4.21/1.37  % (478083)Time elapsed: 0.079 s
% 4.21/1.37  % (478083)Peak memory usage: 91 MB
% 4.21/1.37  % (478083)Instructions burned: 129 (million)
% 4.21/1.37  % (478083)------------------------------
% 4.21/1.37  % (478083)------------------------------
% 4.21/1.37  % (478072)Success in time 0.509 s
% 4.21/1.37  % Vampire exiting
%------------------------------------------------------------------------------