TSTP Solution File: SYN510+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:08:04 EDT 2023

% Result   : Theorem 0.51s 1.21s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f220)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp23
        | hskp22
        | hskp21 )
      & ( hskp2
        | hskp9
        | hskp24 )
      & ( hskp2
        | hskp6
        | hskp26 )
      & ( hskp22
        | hskp7
        | hskp26 )
      & ( hskp18
        | hskp24
        | hskp3 )
      & ( hskp22
        | hskp25
        | hskp13 )
      & ( hskp6
        | hskp14
        | hskp13 )
      & ( hskp6
        | hskp24
        | hskp13 )
      & ( hskp4
        | hskp7
        | hskp12 )
      & ( hskp14
        | hskp10
        | hskp5 )
      & ( hskp25
        | hskp27
        | hskp5 )
      & ( hskp22
        | hskp20
        | hskp31 )
      & ( hskp16
        | hskp10
        | hskp31 )
      & ( hskp14
        | hskp12
        | hskp31 )
      & ( hskp23
        | hskp15
        | hskp28 )
      & ( hskp14
        | hskp20
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c1_1(X106) ) ) )
      & ( hskp14
        | hskp10
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp4
        | hskp26
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp26
        | hskp27
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) ) )
      & ( hskp14
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( hskp14
        | hskp26
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) ) )
      & ( hskp4
        | hskp5
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | c3_1(X99) ) ) )
      & ( hskp9
        | hskp25
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) ) )
      & ( hskp21
        | hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) ) )
      & ( hskp24
        | hskp26
        | ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | ~ c0_1(X96)
              | c3_1(X96) ) ) )
      & ( hskp7
        | hskp30
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp21
        | hskp12
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) ) )
      & ( hskp6
        | hskp3
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c1_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp0
        | hskp15
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp4
        | hskp25
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp6
        | hskp3
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp14
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp24
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp22
        | hskp21
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp23
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp3
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp7
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp22
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp19
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp21
        | hskp29
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp20
        | hskp13
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp13
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp9
        | hskp19
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp11
        | hskp12
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | c3_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp12
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp17
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c0_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp16
        | hskp3
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp2
        | hskp15
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( hskp14
        | hskp13
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp12
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp31
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c0_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c0_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp30
        | hskp0
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp6
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | ~ c0_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp9
        | hskp10
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp0
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp9
        | hskp11
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c1_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c3_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp11
        | hskp29
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | hskp8
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp9
        | hskp8
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp7
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c0_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp6
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c0_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp2
        | hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | ~ c1_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp2
        | hskp28
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c0_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp3
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c1_1(X5)
              | ~ c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | ~ c0_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a563)
          & c1_1(a563)
          & c0_1(a563)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a562)
          & c2_1(a562)
          & c1_1(a562)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a552)
          & c2_1(a552)
          & c0_1(a552)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a541)
          & c1_1(a541)
          & c0_1(a541)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c1_1(a615)
          & c2_1(a615)
          & c0_1(a615)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a604)
          & c2_1(a604)
          & c1_1(a604)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a594)
          & ~ c0_1(a594)
          & c2_1(a594)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a590)
          & ~ c0_1(a590)
          & c1_1(a590)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a587)
          & ~ c2_1(a587)
          & ~ c0_1(a587)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a584)
          & ~ c0_1(a584)
          & c3_1(a584)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a582)
          & c3_1(a582)
          & c2_1(a582)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a580)
          & ~ c0_1(a580)
          & c1_1(a580)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a576)
          & ~ c1_1(a576)
          & c0_1(a576)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a573)
          & ~ c1_1(a573)
          & ~ c0_1(a573)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a571)
          & ~ c1_1(a571)
          & c0_1(a571)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a570)
          & ~ c2_1(a570)
          & c1_1(a570)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a567)
          & c1_1(a567)
          & c0_1(a567)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a566)
          & c3_1(a566)
          & c2_1(a566)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a565)
          & c3_1(a565)
          & c0_1(a565)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a564)
          & c3_1(a564)
          & c0_1(a564)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a553)
          & c3_1(a553)
          & c1_1(a553)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a551)
          & c3_1(a551)
          & c1_1(a551)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a549)
          & ~ c1_1(a549)
          & ~ c0_1(a549)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a548)
          & c2_1(a548)
          & c1_1(a548)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a547)
          & ~ c0_1(a547)
          & c2_1(a547)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a546)
          & ~ c0_1(a546)
          & c3_1(a546)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a544)
          & c1_1(a544)
          & c0_1(a544)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a540)
          & ~ c1_1(a540)
          & c3_1(a540)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a539)
          & ~ c2_1(a539)
          & c0_1(a539)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a538)
          & ~ c2_1(a538)
          & ~ c1_1(a538)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a537)
          & ~ c1_1(a537)
          & c2_1(a537)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a536)
          & c2_1(a536)
          & c0_1(a536)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp23
          | hskp22
          | hskp21 )
        & ( hskp2
          | hskp9
          | hskp24 )
        & ( hskp2
          | hskp6
          | hskp26 )
        & ( hskp22
          | hskp7
          | hskp26 )
        & ( hskp18
          | hskp24
          | hskp3 )
        & ( hskp22
          | hskp25
          | hskp13 )
        & ( hskp6
          | hskp14
          | hskp13 )
        & ( hskp6
          | hskp24
          | hskp13 )
        & ( hskp4
          | hskp7
          | hskp12 )
        & ( hskp14
          | hskp10
          | hskp5 )
        & ( hskp25
          | hskp27
          | hskp5 )
        & ( hskp22
          | hskp20
          | hskp31 )
        & ( hskp16
          | hskp10
          | hskp31 )
        & ( hskp14
          | hskp12
          | hskp31 )
        & ( hskp23
          | hskp15
          | hskp28 )
        & ( hskp14
          | hskp20
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c1_1(X106) ) ) )
        & ( hskp14
          | hskp10
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp4
          | hskp26
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp26
          | hskp27
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) ) )
        & ( hskp14
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( hskp14
          | hskp26
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) ) )
        & ( hskp4
          | hskp5
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | c3_1(X99) ) ) )
        & ( hskp9
          | hskp25
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) ) )
        & ( hskp21
          | hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp24
          | hskp26
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) ) )
        & ( hskp7
          | hskp30
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp21
          | hskp12
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) ) )
        & ( hskp6
          | hskp3
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp0
          | hskp15
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp4
          | hskp25
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp6
          | hskp3
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp14
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp24
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp22
          | hskp21
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp23
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp3
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp22
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp19
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp21
          | hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp20
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp13
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp9
          | hskp19
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp11
          | hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | c3_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp17
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp16
          | hskp3
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp2
          | hskp15
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( hskp14
          | hskp13
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp31
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c0_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp30
          | hskp0
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp6
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp9
          | hskp10
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp0
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp9
          | hskp11
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c3_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp11
          | hskp29
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | hskp8
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp9
          | hskp8
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp7
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp6
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp2
          | hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | ~ c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp2
          | hskp28
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp3
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c0_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a563)
            & c1_1(a563)
            & c0_1(a563)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a562)
            & c2_1(a562)
            & c1_1(a562)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a552)
            & c2_1(a552)
            & c0_1(a552)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a615)
            & c2_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a604)
            & c2_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a594)
            & ~ c0_1(a594)
            & c2_1(a594)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a590)
            & ~ c0_1(a590)
            & c1_1(a590)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a587)
            & ~ c2_1(a587)
            & ~ c0_1(a587)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a584)
            & ~ c0_1(a584)
            & c3_1(a584)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a582)
            & c3_1(a582)
            & c2_1(a582)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a580)
            & ~ c0_1(a580)
            & c1_1(a580)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a576)
            & ~ c1_1(a576)
            & c0_1(a576)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a573)
            & ~ c1_1(a573)
            & ~ c0_1(a573)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a571)
            & ~ c1_1(a571)
            & c0_1(a571)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a570)
            & ~ c2_1(a570)
            & c1_1(a570)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a567)
            & c1_1(a567)
            & c0_1(a567)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a566)
            & c3_1(a566)
            & c2_1(a566)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a565)
            & c3_1(a565)
            & c0_1(a565)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a564)
            & c3_1(a564)
            & c0_1(a564)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a553)
            & c3_1(a553)
            & c1_1(a553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a551)
            & c3_1(a551)
            & c1_1(a551)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a549)
            & ~ c1_1(a549)
            & ~ c0_1(a549)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a548)
            & c2_1(a548)
            & c1_1(a548)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a547)
            & ~ c0_1(a547)
            & c2_1(a547)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a546)
            & ~ c0_1(a546)
            & c3_1(a546)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a544)
            & c1_1(a544)
            & c0_1(a544)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a540)
            & ~ c1_1(a540)
            & c3_1(a540)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a539)
            & ~ c2_1(a539)
            & c0_1(a539)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a538)
            & ~ c2_1(a538)
            & ~ c1_1(a538)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a537)
            & ~ c1_1(a537)
            & c2_1(a537)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a536)
            & c2_1(a536)
            & c0_1(a536)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp23
          | hskp22
          | hskp21 )
        & ( hskp2
          | hskp9
          | hskp24 )
        & ( hskp2
          | hskp6
          | hskp26 )
        & ( hskp22
          | hskp7
          | hskp26 )
        & ( hskp18
          | hskp24
          | hskp3 )
        & ( hskp22
          | hskp25
          | hskp13 )
        & ( hskp6
          | hskp14
          | hskp13 )
        & ( hskp6
          | hskp24
          | hskp13 )
        & ( hskp4
          | hskp7
          | hskp12 )
        & ( hskp14
          | hskp10
          | hskp5 )
        & ( hskp25
          | hskp27
          | hskp5 )
        & ( hskp22
          | hskp20
          | hskp31 )
        & ( hskp16
          | hskp10
          | hskp31 )
        & ( hskp14
          | hskp12
          | hskp31 )
        & ( hskp23
          | hskp15
          | hskp28 )
        & ( hskp14
          | hskp20
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp14
          | hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp4
          | hskp26
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp26
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp14
          | hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp4
          | hskp5
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp9
          | hskp25
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp21
          | hskp14
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) ) )
        & ( hskp24
          | hskp26
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp7
          | hskp30
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp21
          | hskp12
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp6
          | hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp0
          | hskp15
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp4
          | hskp25
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp6
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp14
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp24
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp22
          | hskp21
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c0_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp3
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp22
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp19
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | hskp29
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp20
          | hskp13
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp13
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp9
          | hskp19
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp11
          | hskp12
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp18
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp12
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp17
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp16
          | hskp3
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp2
          | hskp15
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp14
          | hskp13
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp31
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c0_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp30
          | hskp0
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp6
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp0
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp11
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp11
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp11
          | hskp29
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp10
          | hskp8
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp9
          | hskp8
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp7
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp6
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp2
          | hskp5
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp2
          | hskp28
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp4
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp3
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c2_1(X99)
                | c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp2
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp1
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp0
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ( c3_1(a563)
            & c1_1(a563)
            & c0_1(a563)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a562)
            & c2_1(a562)
            & c1_1(a562)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a552)
            & c2_1(a552)
            & c0_1(a552)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a615)
            & c2_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a604)
            & c2_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a594)
            & ~ c0_1(a594)
            & c2_1(a594)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a590)
            & ~ c0_1(a590)
            & c1_1(a590)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a587)
            & ~ c2_1(a587)
            & ~ c0_1(a587)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a584)
            & ~ c0_1(a584)
            & c3_1(a584)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a582)
            & c3_1(a582)
            & c2_1(a582)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a580)
            & ~ c0_1(a580)
            & c1_1(a580)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a576)
            & ~ c1_1(a576)
            & c0_1(a576)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a573)
            & ~ c1_1(a573)
            & ~ c0_1(a573)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a571)
            & ~ c1_1(a571)
            & c0_1(a571)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a570)
            & ~ c2_1(a570)
            & c1_1(a570)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a567)
            & c1_1(a567)
            & c0_1(a567)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a566)
            & c3_1(a566)
            & c2_1(a566)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a565)
            & c3_1(a565)
            & c0_1(a565)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a564)
            & c3_1(a564)
            & c0_1(a564)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a553)
            & c3_1(a553)
            & c1_1(a553)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a551)
            & c3_1(a551)
            & c1_1(a551)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a549)
            & ~ c1_1(a549)
            & ~ c0_1(a549)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a548)
            & c2_1(a548)
            & c1_1(a548)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a547)
            & ~ c0_1(a547)
            & c2_1(a547)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a546)
            & ~ c0_1(a546)
            & c3_1(a546)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a544)
            & c1_1(a544)
            & c0_1(a544)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a540)
            & ~ c1_1(a540)
            & c3_1(a540)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a539)
            & ~ c2_1(a539)
            & c0_1(a539)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a538)
            & ~ c2_1(a538)
            & ~ c1_1(a538)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a537)
            & ~ c1_1(a537)
            & c2_1(a537)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a536)
            & c2_1(a536)
            & c0_1(a536)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp23
      | hskp22
      | hskp21 )
    & ( hskp2
      | hskp9
      | hskp24 )
    & ( hskp2
      | hskp6
      | hskp26 )
    & ( hskp22
      | hskp7
      | hskp26 )
    & ( hskp18
      | hskp24
      | hskp3 )
    & ( hskp22
      | hskp25
      | hskp13 )
    & ( hskp6
      | hskp14
      | hskp13 )
    & ( hskp6
      | hskp24
      | hskp13 )
    & ( hskp4
      | hskp7
      | hskp12 )
    & ( hskp14
      | hskp10
      | hskp5 )
    & ( hskp25
      | hskp27
      | hskp5 )
    & ( hskp22
      | hskp20
      | hskp31 )
    & ( hskp16
      | hskp10
      | hskp31 )
    & ( hskp14
      | hskp12
      | hskp31 )
    & ( hskp23
      | hskp15
      | hskp28 )
    & ( hskp14
      | hskp20
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp14
      | hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp4
      | hskp26
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp26
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp14
      | hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp4
      | hskp5
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp9
      | hskp25
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp21
      | hskp14
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) ) )
    & ( hskp24
      | hskp26
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp7
      | hskp30
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp21
      | hskp12
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp6
      | hskp3
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp0
      | hskp15
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp4
      | hskp25
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp6
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp14
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp24
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp22
      | hskp21
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c0_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c1_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp3
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp7
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp22
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp19
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | hskp29
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp20
      | hskp13
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp13
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp9
      | hskp19
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp11
      | hskp12
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp18
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp12
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp17
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp16
      | hskp3
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp2
      | hskp15
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp14
      | hskp13
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp31
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c0_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c0_1(X56)
            | c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp30
      | hskp0
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp6
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c0_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | hskp10
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp0
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp11
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp11
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp11
      | hskp29
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp10
      | hskp8
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp9
      | hskp8
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp7
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c1_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp6
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c0_1(X85)
            | c1_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp2
      | hskp5
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp2
      | hskp28
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp4
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | c3_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp3
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c2_1(X99)
            | c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp2
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp1
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp0
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ( c3_1(a563)
        & c1_1(a563)
        & c0_1(a563)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a562)
        & c2_1(a562)
        & c1_1(a562)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a552)
        & c2_1(a552)
        & c0_1(a552)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a594)
        & ~ c0_1(a594)
        & c2_1(a594)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a590)
        & ~ c0_1(a590)
        & c1_1(a590)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a587)
        & ~ c2_1(a587)
        & ~ c0_1(a587)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c3_1(a584)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a582)
        & c3_1(a582)
        & c2_1(a582)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a580)
        & ~ c0_1(a580)
        & c1_1(a580)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a576)
        & ~ c1_1(a576)
        & c0_1(a576)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a573)
        & ~ c1_1(a573)
        & ~ c0_1(a573)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a571)
        & ~ c1_1(a571)
        & c0_1(a571)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a570)
        & ~ c2_1(a570)
        & c1_1(a570)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a567)
        & c1_1(a567)
        & c0_1(a567)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a566)
        & c3_1(a566)
        & c2_1(a566)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a565)
        & c3_1(a565)
        & c0_1(a565)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a564)
        & c3_1(a564)
        & c0_1(a564)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a553)
        & c3_1(a553)
        & c1_1(a553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a551)
        & c3_1(a551)
        & c1_1(a551)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a549)
        & ~ c1_1(a549)
        & ~ c0_1(a549)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a548)
        & c2_1(a548)
        & c1_1(a548)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a547)
        & ~ c0_1(a547)
        & c2_1(a547)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a546)
        & ~ c0_1(a546)
        & c3_1(a546)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a544)
        & c1_1(a544)
        & c0_1(a544)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c3_1(a540)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a539)
        & ~ c2_1(a539)
        & c0_1(a539)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a538)
        & ~ c2_1(a538)
        & ~ c1_1(a538)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a537)
        & ~ c1_1(a537)
        & c2_1(a537)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a536)
        & c2_1(a536)
        & c0_1(a536)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp23
      | hskp22
      | hskp21 )
    & ( hskp2
      | hskp9
      | hskp24 )
    & ( hskp2
      | hskp6
      | hskp26 )
    & ( hskp22
      | hskp7
      | hskp26 )
    & ( hskp18
      | hskp24
      | hskp3 )
    & ( hskp22
      | hskp25
      | hskp13 )
    & ( hskp6
      | hskp14
      | hskp13 )
    & ( hskp6
      | hskp24
      | hskp13 )
    & ( hskp4
      | hskp7
      | hskp12 )
    & ( hskp14
      | hskp10
      | hskp5 )
    & ( hskp25
      | hskp27
      | hskp5 )
    & ( hskp22
      | hskp20
      | hskp31 )
    & ( hskp16
      | hskp10
      | hskp31 )
    & ( hskp14
      | hskp12
      | hskp31 )
    & ( hskp23
      | hskp15
      | hskp28 )
    & ( hskp14
      | hskp20
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp26
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp26
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp26
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp30
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp12
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp25
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X33] :
          ( ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp13
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp19
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp3
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp15
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp0
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp10
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp29
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp8
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp5
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X99] :
          ( ~ c3_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a563)
        & c1_1(a563)
        & c0_1(a563)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a562)
        & c2_1(a562)
        & c1_1(a562)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a552)
        & c2_1(a552)
        & c0_1(a552)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a594)
        & ~ c0_1(a594)
        & c2_1(a594)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a590)
        & ~ c0_1(a590)
        & c1_1(a590)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a587)
        & ~ c2_1(a587)
        & ~ c0_1(a587)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c3_1(a584)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a582)
        & c3_1(a582)
        & c2_1(a582)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a580)
        & ~ c0_1(a580)
        & c1_1(a580)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a576)
        & ~ c1_1(a576)
        & c0_1(a576)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a573)
        & ~ c1_1(a573)
        & ~ c0_1(a573)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a571)
        & ~ c1_1(a571)
        & c0_1(a571)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a570)
        & ~ c2_1(a570)
        & c1_1(a570)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a567)
        & c1_1(a567)
        & c0_1(a567)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a566)
        & c3_1(a566)
        & c2_1(a566)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a565)
        & c3_1(a565)
        & c0_1(a565)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a564)
        & c3_1(a564)
        & c0_1(a564)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a553)
        & c3_1(a553)
        & c1_1(a553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a551)
        & c3_1(a551)
        & c1_1(a551)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a549)
        & ~ c1_1(a549)
        & ~ c0_1(a549)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a548)
        & c2_1(a548)
        & c1_1(a548)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a547)
        & ~ c0_1(a547)
        & c2_1(a547)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a546)
        & ~ c0_1(a546)
        & c3_1(a546)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a544)
        & c1_1(a544)
        & c0_1(a544)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c3_1(a540)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a539)
        & ~ c2_1(a539)
        & c0_1(a539)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a538)
        & ~ c2_1(a538)
        & ~ c1_1(a538)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a537)
        & ~ c1_1(a537)
        & c2_1(a537)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a536)
        & c2_1(a536)
        & c0_1(a536)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp23
      | hskp22
      | hskp21 )
    & ( hskp2
      | hskp9
      | hskp24 )
    & ( hskp2
      | hskp6
      | hskp26 )
    & ( hskp22
      | hskp7
      | hskp26 )
    & ( hskp18
      | hskp24
      | hskp3 )
    & ( hskp22
      | hskp25
      | hskp13 )
    & ( hskp6
      | hskp14
      | hskp13 )
    & ( hskp6
      | hskp24
      | hskp13 )
    & ( hskp4
      | hskp7
      | hskp12 )
    & ( hskp14
      | hskp10
      | hskp5 )
    & ( hskp25
      | hskp27
      | hskp5 )
    & ( hskp22
      | hskp20
      | hskp31 )
    & ( hskp16
      | hskp10
      | hskp31 )
    & ( hskp14
      | hskp12
      | hskp31 )
    & ( hskp23
      | hskp15
      | hskp28 )
    & ( hskp14
      | hskp20
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp10
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp26
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp26
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp14
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp26
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp30
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp12
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp25
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp3
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c2_1(X24)
          | ~ c0_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X33] :
          ( ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp29
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp13
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X39] :
          ( ~ c2_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp19
      | ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp3
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp15
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c0_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c0_1(X56)
          | c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp0
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp10
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp29
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp8
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c3_1(X82)
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp5
      | ! [X87] :
          ( ~ c3_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c3_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp28
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c0_1(X97)
          | c3_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X99] :
          ( ~ c3_1(X99)
          | c2_1(X99)
          | c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c2_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c0_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X105] :
          ( ~ c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a563)
        & c1_1(a563)
        & c0_1(a563)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a562)
        & c2_1(a562)
        & c1_1(a562)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a552)
        & c2_1(a552)
        & c0_1(a552)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a594)
        & ~ c0_1(a594)
        & c2_1(a594)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a590)
        & ~ c0_1(a590)
        & c1_1(a590)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a587)
        & ~ c2_1(a587)
        & ~ c0_1(a587)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a584)
        & ~ c0_1(a584)
        & c3_1(a584)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a582)
        & c3_1(a582)
        & c2_1(a582)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a580)
        & ~ c0_1(a580)
        & c1_1(a580)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a576)
        & ~ c1_1(a576)
        & c0_1(a576)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a573)
        & ~ c1_1(a573)
        & ~ c0_1(a573)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a571)
        & ~ c1_1(a571)
        & c0_1(a571)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a570)
        & ~ c2_1(a570)
        & c1_1(a570)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a567)
        & c1_1(a567)
        & c0_1(a567)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a566)
        & c3_1(a566)
        & c2_1(a566)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a565)
        & c3_1(a565)
        & c0_1(a565)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a564)
        & c3_1(a564)
        & c0_1(a564)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a553)
        & c3_1(a553)
        & c1_1(a553)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c0_1(a551)
        & c3_1(a551)
        & c1_1(a551)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a549)
        & ~ c1_1(a549)
        & ~ c0_1(a549)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a548)
        & c2_1(a548)
        & c1_1(a548)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a547)
        & ~ c0_1(a547)
        & c2_1(a547)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a546)
        & ~ c0_1(a546)
        & c3_1(a546)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a544)
        & c1_1(a544)
        & c0_1(a544)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c3_1(a540)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a539)
        & ~ c2_1(a539)
        & c0_1(a539)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a538)
        & ~ c2_1(a538)
        & ~ c1_1(a538)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a537)
        & ~ c1_1(a537)
        & c2_1(a537)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a536)
        & c2_1(a536)
        & c0_1(a536)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( c0_1(a536)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a536)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a536)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c2_1(a537)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c1_1(a537)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a537)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c0_1(a539)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c2_1(a539)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a539)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c3_1(a546)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c0_1(a546)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c1_1(a546)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c0_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c1_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c2_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c1_1(a551)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( c3_1(a551)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c0_1(a551)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a564)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a564)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c1_1(a564)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a565)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c3_1(a565)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c2_1(a565)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a566)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c3_1(a566)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c0_1(a566)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a567)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c1_1(a567)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c2_1(a567)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c0_1(a576)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a576)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a580)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c0_1(a580)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a580)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c2_1(a582)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( c3_1(a582)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c1_1(a582)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c3_1(a584)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c0_1(a584)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c2_1(a584)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( ~ c0_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c2_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c3_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a590)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a590)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c2_1(a590)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c2_1(a594)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c0_1(a594)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c1_1(a594)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f111,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c1_1(a562)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a562)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a562)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ( c0_1(a563)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ( c1_1(a563)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ( c3_1(a563)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f159,plain,
    ! [X59] :
      ( hskp30
      | hskp0
      | ~ c3_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f170,plain,
    ! [X41] :
      ( hskp9
      | hskp19
      | ~ c3_1(X41)
      | c2_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f172,plain,
    ! [X38] :
      ( hskp20
      | hskp13
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X21] :
      ( hskp22
      | hskp21
      | ~ c0_1(X21)
      | c3_1(X21)
      | c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ! [X16] :
      ( hskp6
      | hskp3
      | ~ c1_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    ! [X14] :
      ( hskp0
      | hskp15
      | ~ c3_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f187,plain,
    ! [X13] :
      ( hskp6
      | hskp3
      | ~ c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X12] :
      ( hskp21
      | hskp12
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X9] :
      ( hskp21
      | hskp14
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ! [X1] :
      ( hskp14
      | hskp10
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f207,plain,
    ( hskp6
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f208,plain,
    ( hskp6
    | hskp14
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f209,plain,
    ( hskp22
    | hskp25
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f212,plain,
    ( hskp2
    | hskp6
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f214,plain,
    ( hskp23
    | hskp22
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp21 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_51,negated_conjecture,
    ( hskp2
    | hskp6
    | hskp26 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_54,negated_conjecture,
    ( hskp22
    | hskp25
    | hskp13 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_55,negated_conjecture,
    ( hskp6
    | hskp13
    | hskp14 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_56,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp13 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_65,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp14
    | hskp10 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_68,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp14 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_72,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_75,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_77,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp15
    | hskp0 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_79,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_82,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp21 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_85,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp23 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_91,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp20 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_92,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp13 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp9
    | hskp19 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | hskp31 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_104,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X0)
    | hskp6 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_109,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_118,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_120,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp1 ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_124,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_125,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_126,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_127,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_128,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp31
    | c3_1(a563) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp31
    | c1_1(a563) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp31
    | c0_1(a563) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp30
    | c3_1(a562) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp30
    | c2_1(a562) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp30
    | c1_1(a562) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_152,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_153,negated_conjecture,
    ( ~ c1_1(a594)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_154,negated_conjecture,
    ( ~ c0_1(a594)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp25
    | c2_1(a594) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a590)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a590)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp24
    | c1_1(a590) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_162,negated_conjecture,
    ( ~ c2_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_163,negated_conjecture,
    ( ~ c0_1(a587)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_165,negated_conjecture,
    ( ~ c2_1(a584)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_166,negated_conjecture,
    ( ~ c0_1(a584)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp22
    | c3_1(a584) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a582)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp21
    | c3_1(a582) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp21
    | c2_1(a582) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_173,negated_conjecture,
    ( ~ c3_1(a580)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_174,negated_conjecture,
    ( ~ c0_1(a580)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp20
    | c1_1(a580) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a576)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp19
    | c0_1(a576) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a567)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp15
    | c1_1(a567) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp15
    | c0_1(a567) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_197,negated_conjecture,
    ( ~ c0_1(a566)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp14
    | c3_1(a566) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp14
    | c2_1(a566) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_201,negated_conjecture,
    ( ~ c2_1(a565)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp13
    | c3_1(a565) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp13
    | c0_1(a565) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a564)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp12
    | c3_1(a564) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp12
    | c0_1(a564) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_213,negated_conjecture,
    ( ~ c0_1(a551)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp10
    | c3_1(a551) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp10
    | c1_1(a551) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_217,negated_conjecture,
    ( ~ c2_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_218,negated_conjecture,
    ( ~ c1_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_219,negated_conjecture,
    ( ~ c0_1(a549)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_229,negated_conjecture,
    ( ~ c1_1(a546)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(a546)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp6
    | c3_1(a546) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_232,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_241,negated_conjecture,
    ( ~ c3_1(a539)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_242,negated_conjecture,
    ( ~ c2_1(a539)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp3
    | c0_1(a539) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_248,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_249,negated_conjecture,
    ( ~ c3_1(a537)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_250,negated_conjecture,
    ( ~ c1_1(a537)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_251,negated_conjecture,
    ( ~ hskp1
    | c2_1(a537) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_253,negated_conjecture,
    ( ~ c3_1(a536)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_254,negated_conjecture,
    ( ~ hskp0
    | c2_1(a536) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_255,negated_conjecture,
    ( ~ hskp0
    | c0_1(a536) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_256,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_280,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | ~ ndr1_0
    | c3_1(a536)
    | hskp21
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_289,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | ~ c0_1(a536)
    | ~ ndr1_0
    | c1_1(a536)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_292,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_256,c_248,c_232,c_152,c_51]) ).

cnf(c_383,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp9
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_248,c_232,c_152,c_51,c_93]) ).

cnf(c_386,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_248,c_232,c_152,c_51,c_91]) ).

cnf(c_392,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_248,c_232,c_152,c_51,c_82]) ).

cnf(c_395,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_248,c_232,c_152,c_51,c_79,c_76]) ).

cnf(c_397,plain,
    ( ~ c1_1(a536)
    | c2_1(a536)
    | hskp6
    | hskp3 ),
    inference(instantiation,[status(thm)],[c_395]) ).

cnf(c_404,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_248,c_232,c_152,c_51,c_104]) ).

cnf(c_405,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    inference(renaming,[status(thm)],[c_404]) ).

cnf(c_410,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_248,c_232,c_152,c_51,c_77]) ).

cnf(c_411,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp0 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_413,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_395]) ).

cnf(c_415,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_248,c_232,c_152,c_51,c_75]) ).

cnf(c_416,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    inference(renaming,[status(thm)],[c_415]) ).

cnf(c_424,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_248,c_232,c_152,c_51,c_72]) ).

cnf(c_425,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    inference(renaming,[status(thm)],[c_424]) ).

cnf(c_442,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp14
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_248,c_232,c_152,c_51,c_65]) ).

cnf(c_443,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp14
    | hskp10 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_448,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_248,c_232,c_152,c_51,c_128]) ).

cnf(c_451,negated_conjecture,
    ( ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_248,c_232,c_152,c_51,c_125]) ).

cnf(c_453,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_248,c_232,c_152,c_51,c_127]) ).

cnf(c_454,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_457,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_248,c_232,c_152,c_51,c_118]) ).

cnf(c_458,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_461,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_126,c_248,c_232,c_152,c_51,c_126]) ).

cnf(c_462,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_471,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_248,c_232,c_152,c_51,c_83]) ).

cnf(c_472,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_248,c_232,c_152,c_51,c_120]) ).

cnf(c_474,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_477,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_248,c_232,c_152,c_51,c_107]) ).

cnf(c_478,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_248,c_232,c_152,c_51,c_105]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_481,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_248,c_232,c_152,c_51,c_102]) ).

cnf(c_482,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp31 ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_248,c_232,c_152,c_51,c_92]) ).

cnf(c_484,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_248,c_232,c_152,c_51,c_89]) ).

cnf(c_486,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | ~ c0_1(a536)
    | c1_1(a536)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_486]) ).

cnf(c_490,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_248,c_232,c_152,c_51,c_86]) ).

cnf(c_491,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_490]) ).

cnf(c_498,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_85,c_292]) ).

cnf(c_499,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_498]) ).

cnf(c_500,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_248,c_232,c_152,c_51,c_68]) ).

cnf(c_501,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_500]) ).

cnf(c_503,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_248,c_232,c_152,c_51,c_124]) ).

cnf(c_504,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_503]) ).

cnf(c_505,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_248,c_232,c_152,c_51,c_114]) ).

cnf(c_506,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_507,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_248,c_232,c_152,c_51,c_121]) ).

cnf(c_508,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_507]) ).

cnf(c_509,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | c1_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_508]) ).

cnf(c_510,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_248,c_232,c_152,c_51,c_117]) ).

cnf(c_511,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_510]) ).

cnf(c_512,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_248,c_232,c_152,c_51,c_103]) ).

cnf(c_513,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_514,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_248,c_232,c_152,c_51,c_113]) ).

cnf(c_515,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_514]) ).

cnf(c_516,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_248,c_232,c_152,c_51,c_84]) ).

cnf(c_517,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_516]) ).

cnf(c_518,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_248,c_232,c_152,c_51,c_109]) ).

cnf(c_519,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_518]) ).

cnf(c_2976,plain,
    ( ~ c0_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_163]) ).

cnf(c_2986,plain,
    ( ~ c2_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_162]) ).

cnf(c_2996,plain,
    ( ~ c3_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_161]) ).

cnf(c_3693,plain,
    ( c2_1(a594)
    | hskp22
    | hskp13 ),
    inference(resolution,[status(thm)],[c_54,c_155]) ).

cnf(c_3703,plain,
    ( ~ c0_1(a594)
    | hskp22
    | hskp13 ),
    inference(resolution,[status(thm)],[c_54,c_154]) ).

cnf(c_3713,plain,
    ( ~ c1_1(a594)
    | hskp22
    | hskp13 ),
    inference(resolution,[status(thm)],[c_54,c_153]) ).

cnf(c_4302,plain,
    ( c1_1(a590)
    | hskp6
    | hskp13 ),
    inference(resolution,[status(thm)],[c_56,c_159]) ).

cnf(c_4312,plain,
    ( ~ c0_1(a590)
    | hskp6
    | hskp13 ),
    inference(resolution,[status(thm)],[c_56,c_158]) ).

cnf(c_4322,plain,
    ( ~ c2_1(a590)
    | hskp6
    | hskp13 ),
    inference(resolution,[status(thm)],[c_56,c_157]) ).

cnf(c_5016,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(a582)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_425,c_171]) ).

cnf(c_5017,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | c3_1(a536)
    | c2_1(a582)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_5016]) ).

cnf(c_5033,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(a582)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_425,c_170]) ).

cnf(c_5034,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | c3_1(a582)
    | c3_1(a536)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_5033]) ).

cnf(c_5050,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(a582)
    | c3_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_425,c_169]) ).

cnf(c_5051,plain,
    ( ~ c2_1(a536)
    | ~ c1_1(a582)
    | ~ c0_1(a536)
    | c3_1(a536)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_5050]) ).

cnf(c_7048,plain,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(a539)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_413,c_243]) ).

cnf(c_7049,plain,
    ( ~ c1_1(a536)
    | c2_1(a536)
    | c0_1(a539)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_7048]) ).

cnf(c_7062,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(a539)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_413,c_242]) ).

cnf(c_7063,plain,
    ( ~ c2_1(a539)
    | ~ c1_1(a536)
    | c2_1(a536)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_7062]) ).

cnf(c_7076,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(a539)
    | c2_1(X0)
    | hskp6 ),
    inference(resolution,[status(thm)],[c_413,c_241]) ).

cnf(c_7077,plain,
    ( ~ c3_1(a539)
    | ~ c1_1(a536)
    | c2_1(a536)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_7076]) ).

cnf(c_7447,plain,
    ( c0_1(a565)
    | hskp6
    | hskp14 ),
    inference(resolution,[status(thm)],[c_55,c_203]) ).

cnf(c_7457,plain,
    ( c3_1(a565)
    | hskp6
    | hskp14 ),
    inference(resolution,[status(thm)],[c_55,c_202]) ).

cnf(c_7467,plain,
    ( ~ c2_1(a565)
    | hskp6
    | hskp14 ),
    inference(resolution,[status(thm)],[c_55,c_201]) ).

cnf(c_8395,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(a549)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_383,c_219]) ).

cnf(c_8396,plain,
    ( ~ c3_1(a536)
    | ~ c0_1(a549)
    | c2_1(a536)
    | c1_1(a536)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_8395]) ).

cnf(c_8412,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(a549)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_383,c_218]) ).

cnf(c_8413,plain,
    ( ~ c3_1(a536)
    | ~ c1_1(a549)
    | c2_1(a536)
    | c1_1(a536)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_8412]) ).

cnf(c_8429,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(a549)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19 ),
    inference(resolution,[status(thm)],[c_383,c_217]) ).

cnf(c_8430,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a549)
    | c2_1(a536)
    | c1_1(a536)
    | hskp19 ),
    inference(instantiation,[status(thm)],[c_8429]) ).

cnf(c_8794,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c0_1(a564)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_416,c_207]) ).

cnf(c_8795,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | c3_1(a536)
    | c0_1(a564)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8794]) ).

cnf(c_8811,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(a564)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_416,c_206]) ).

cnf(c_8812,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | c3_1(a564)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8811]) ).

cnf(c_8828,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(a564)
    | c3_1(X0)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_416,c_205]) ).

cnf(c_8829,plain,
    ( ~ c2_1(a536)
    | ~ c1_1(a564)
    | ~ c0_1(a536)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8828]) ).

cnf(c_18634,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_519]) ).

cnf(c_18635,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_519]) ).

cnf(c_18636,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_519]) ).

cnf(c_18637,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

cnf(c_18638,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_517]) ).

cnf(c_18639,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_517]) ).

cnf(c_18640,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_517]) ).

cnf(c_18641,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

cnf(c_18642,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_515]) ).

cnf(c_18643,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_515]) ).

cnf(c_18644,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_515]) ).

cnf(c_18645,negated_conjecture,
    ( sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

cnf(c_18646,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_513]) ).

cnf(c_18647,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

cnf(c_18648,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_511]) ).

cnf(c_18649,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_511]) ).

cnf(c_18650,negated_conjecture,
    ( sP0_iProver_split
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

cnf(c_18651,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_508]) ).

cnf(c_18652,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_508]) ).

cnf(c_18653,negated_conjecture,
    ( sP6_iProver_split
    | sP12_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

cnf(c_18654,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_506]) ).

cnf(c_18655,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_506]) ).

cnf(c_18656,negated_conjecture,
    ( sP7_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

cnf(c_18657,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_504]) ).

cnf(c_18659,negated_conjecture,
    ( hskp14
    | sP0_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

cnf(c_18660,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_499]) ).

cnf(c_18661,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_499]) ).

cnf(c_18667,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_491]) ).

cnf(c_18668,negated_conjecture,
    ( hskp3
    | sP17_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

cnf(c_18672,negated_conjecture,
    ( hskp13
    | sP14_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_18673,negated_conjecture,
    ( hskp31
    | sP6_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_18674,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_480]) ).

cnf(c_18675,negated_conjecture,
    ( hskp6
    | sP10_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_18676,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_478]) ).

cnf(c_18677,negated_conjecture,
    ( hskp0
    | sP2_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_18679,negated_conjecture,
    ( hskp1
    | sP12_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_18680,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_472]) ).

cnf(c_18681,negated_conjecture,
    ( sP2_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_18689,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_462]) ).

cnf(c_18692,negated_conjecture,
    ( hskp6
    | sP11_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_18694,negated_conjecture,
    ( hskp1
    | sP4_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_18695,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_451]) ).

cnf(c_18696,negated_conjecture,
    ( hskp3
    | sP16_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_18697,negated_conjecture,
    ( hskp0
    | sP12_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_18699,negated_conjecture,
    ( hskp14
    | hskp10
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_18709,negated_conjecture,
    ( hskp15
    | hskp0
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_18711,negated_conjecture,
    ( hskp30
    | hskp0
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_18717,negated_conjecture,
    ( hskp22
    | hskp21
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).

cnf(c_18719,negated_conjecture,
    ( hskp13
    | hskp20
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

cnf(c_18734,plain,
    ( ~ sP28_iProver_split
    | c2_1(a536)
    | c1_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_18737,plain,
    ( ~ c1_1(a536)
    | ~ sP7_iProver_split
    | c2_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18643]) ).

cnf(c_18738,plain,
    ( ~ c2_1(a536)
    | ~ sP9_iProver_split
    | c3_1(a536)
    | c1_1(a536) ),
    inference(instantiation,[status(thm)],[c_18646]) ).

cnf(c_18741,plain,
    ( ~ c0_1(a536)
    | ~ sP14_iProver_split
    | c3_1(a536)
    | c1_1(a536) ),
    inference(instantiation,[status(thm)],[c_18654]) ).

cnf(c_18742,plain,
    ( ~ c3_1(a536)
    | ~ sP15_iProver_split
    | c2_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18655]) ).

cnf(c_18744,plain,
    ( ~ c2_1(a536)
    | ~ sP23_iProver_split
    | c3_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18676]) ).

cnf(c_18745,plain,
    ( ~ c0_1(a536)
    | ~ sP24_iProver_split
    | c3_1(a536)
    | c2_1(a536) ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_18748,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | ~ sP3_iProver_split
    | c3_1(a536) ),
    inference(instantiation,[status(thm)],[c_18638]) ).

cnf(c_18749,plain,
    ( ~ c3_1(a536)
    | ~ c0_1(a536)
    | ~ sP4_iProver_split
    | c1_1(a536) ),
    inference(instantiation,[status(thm)],[c_18639]) ).

cnf(c_18750,plain,
    ( ~ c3_1(a536)
    | ~ c0_1(a536)
    | ~ sP5_iProver_split
    | c2_1(a536) ),
    inference(instantiation,[status(thm)],[c_18640]) ).

cnf(c_18751,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | ~ sP6_iProver_split
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_18753,plain,
    ( ~ c2_1(a536)
    | ~ c0_1(a536)
    | ~ sP17_iProver_split
    | c1_1(a536) ),
    inference(instantiation,[status(thm)],[c_18660]) ).

cnf(c_18756,plain,
    ( ~ c3_1(a536)
    | ~ c1_1(a536)
    | ~ sP22_iProver_split
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_18674]) ).

cnf(c_18761,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | ~ c0_1(a536)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18636]) ).

cnf(c_18762,plain,
    ( ~ c3_1(a536)
    | ~ c2_1(a536)
    | ~ c1_1(a536)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18644]) ).

cnf(c_18763,plain,
    ( ~ c2_1(a536)
    | ~ c1_1(a536)
    | ~ c0_1(a536)
    | ~ sP18_iProver_split ),
    inference(instantiation,[status(thm)],[c_18661]) ).

cnf(c_18766,plain,
    ( ~ c3_1(a582)
    | ~ c2_1(a582)
    | ~ c0_1(a582)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18636]) ).

cnf(c_18768,plain,
    ( ~ c3_1(a564)
    | ~ c2_1(a564)
    | ~ c0_1(a564)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18636]) ).

cnf(c_18775,plain,
    ( ~ c3_1(a582)
    | ~ c0_1(a582)
    | ~ sP4_iProver_split
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18639]) ).

cnf(c_18777,plain,
    ( ~ c3_1(a564)
    | ~ c0_1(a564)
    | ~ sP4_iProver_split
    | c1_1(a564) ),
    inference(instantiation,[status(thm)],[c_18639]) ).

cnf(c_18782,plain,
    ( ~ c3_1(a563)
    | ~ c0_1(a563)
    | ~ sP5_iProver_split
    | c2_1(a563) ),
    inference(instantiation,[status(thm)],[c_18640]) ).

cnf(c_18785,plain,
    ( ~ c3_1(a565)
    | ~ c0_1(a565)
    | ~ sP5_iProver_split
    | c2_1(a565) ),
    inference(instantiation,[status(thm)],[c_18640]) ).

cnf(c_18786,plain,
    ( ~ c3_1(a564)
    | ~ c0_1(a564)
    | ~ sP5_iProver_split
    | c2_1(a564) ),
    inference(instantiation,[status(thm)],[c_18640]) ).

cnf(c_18793,plain,
    ( ~ c1_1(a590)
    | ~ sP7_iProver_split
    | c2_1(a590)
    | c0_1(a590) ),
    inference(instantiation,[status(thm)],[c_18643]) ).

cnf(c_18796,plain,
    ( ~ c1_1(a551)
    | ~ sP7_iProver_split
    | c2_1(a551)
    | c0_1(a551) ),
    inference(instantiation,[status(thm)],[c_18643]) ).

cnf(c_18806,plain,
    ( ~ c3_1(a584)
    | ~ sP12_iProver_split
    | c1_1(a584)
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

cnf(c_18807,plain,
    ( ~ c3_1(a582)
    | ~ sP12_iProver_split
    | c1_1(a582)
    | c0_1(a582) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

cnf(c_18812,plain,
    ( ~ c3_1(a546)
    | ~ sP12_iProver_split
    | c1_1(a546)
    | c0_1(a546) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

cnf(c_18815,plain,
    ( ~ c3_1(a582)
    | ~ c2_1(a582)
    | ~ sP6_iProver_split
    | c0_1(a582) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_18823,plain,
    ( ~ c3_1(a594)
    | ~ c2_1(a594)
    | ~ sP6_iProver_split
    | c0_1(a594) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_18824,plain,
    ( ~ c3_1(a566)
    | ~ c1_1(a566)
    | ~ sP22_iProver_split
    | c0_1(a566) ),
    inference(instantiation,[status(thm)],[c_18674]) ).

cnf(c_18825,plain,
    ( ~ c3_1(a566)
    | ~ sP12_iProver_split
    | c1_1(a566)
    | c0_1(a566) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

cnf(c_18829,plain,
    ( ~ c3_1(a566)
    | ~ c2_1(a566)
    | ~ sP6_iProver_split
    | c0_1(a566) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_18832,plain,
    ( ~ c0_1(a539)
    | ~ sP14_iProver_split
    | c3_1(a539)
    | c1_1(a539) ),
    inference(instantiation,[status(thm)],[c_18654]) ).

cnf(c_18841,plain,
    ( ~ c2_1(a576)
    | ~ c0_1(a576)
    | ~ sP3_iProver_split
    | c3_1(a576) ),
    inference(instantiation,[status(thm)],[c_18638]) ).

cnf(c_18846,plain,
    ( ~ c1_1(a539)
    | ~ c0_1(a539)
    | ~ sP10_iProver_split
    | c2_1(a539) ),
    inference(instantiation,[status(thm)],[c_18648]) ).

cnf(c_18851,plain,
    ( ~ c1_1(a567)
    | ~ c0_1(a567)
    | ~ sP10_iProver_split
    | c2_1(a567) ),
    inference(instantiation,[status(thm)],[c_18648]) ).

cnf(c_18855,plain,
    ( ~ sP16_iProver_split
    | c3_1(a594)
    | c1_1(a594)
    | c0_1(a594) ),
    inference(instantiation,[status(thm)],[c_18657]) ).

cnf(c_18874,plain,
    ( ~ c0_1(a576)
    | ~ sP24_iProver_split
    | c3_1(a576)
    | c2_1(a576) ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_18875,plain,
    ( ~ c0_1(a567)
    | ~ sP24_iProver_split
    | c3_1(a567)
    | c2_1(a567) ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_18877,plain,
    ( ~ c0_1(a539)
    | ~ sP24_iProver_split
    | c3_1(a539)
    | c2_1(a539) ),
    inference(instantiation,[status(thm)],[c_18680]) ).

cnf(c_18882,plain,
    ( ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ c0_1(a562)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18636]) ).

cnf(c_18884,plain,
    ( ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ sP6_iProver_split
    | c0_1(a562) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_18889,plain,
    ( ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ c1_1(a562)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18644]) ).

cnf(c_18893,plain,
    ( ~ c3_1(a566)
    | ~ c2_1(a566)
    | ~ c1_1(a566)
    | ~ sP8_iProver_split ),
    inference(instantiation,[status(thm)],[c_18644]) ).

cnf(c_18972,plain,
    ( ~ c3_1(a584)
    | ~ sP15_iProver_split
    | c2_1(a584)
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18655]) ).

cnf(c_18973,plain,
    ( ~ c3_1(a584)
    | ~ c1_1(a584)
    | ~ sP22_iProver_split
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18674]) ).

cnf(c_18990,plain,
    ( ~ c1_1(a584)
    | ~ sP7_iProver_split
    | c2_1(a584)
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18643]) ).

cnf(c_19049,plain,
    ( ~ sP11_iProver_split
    | c3_1(a590)
    | c2_1(a590)
    | c0_1(a590) ),
    inference(instantiation,[status(thm)],[c_18649]) ).

cnf(c_19050,plain,
    ( ~ sP11_iProver_split
    | c3_1(a587)
    | c2_1(a587)
    | c0_1(a587) ),
    inference(instantiation,[status(thm)],[c_18649]) ).

cnf(c_19064,plain,
    ( ~ sP28_iProver_split
    | c2_1(a549)
    | c1_1(a549)
    | c0_1(a549) ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_19065,plain,
    ( ~ sP28_iProver_split
    | c2_1(a546)
    | c1_1(a546)
    | c0_1(a546) ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_19066,plain,
    ( ~ c2_1(a594)
    | ~ sP13_iProver_split
    | c1_1(a594)
    | c0_1(a594) ),
    inference(instantiation,[status(thm)],[c_18652]) ).

cnf(c_19070,plain,
    ( ~ c2_1(a546)
    | ~ sP13_iProver_split
    | c1_1(a546)
    | c0_1(a546) ),
    inference(instantiation,[status(thm)],[c_18652]) ).

cnf(c_19113,plain,
    ( ~ sP28_iProver_split
    | c2_1(a584)
    | c1_1(a584)
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18689]) ).

cnf(c_19161,plain,
    ( ~ c3_1(a590)
    | ~ sP15_iProver_split
    | c2_1(a590)
    | c0_1(a590) ),
    inference(instantiation,[status(thm)],[c_18655]) ).

cnf(c_19249,plain,
    ( ~ c3_1(a563)
    | ~ c1_1(a563)
    | ~ c0_1(a563)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_18634]) ).

cnf(c_19259,plain,
    ( ~ c3_1(a567)
    | ~ c1_1(a567)
    | ~ c0_1(a567)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_18634]) ).

cnf(c_19277,plain,
    ( ~ c1_1(a580)
    | ~ sP1_iProver_split
    | c3_1(a580)
    | c0_1(a580) ),
    inference(instantiation,[status(thm)],[c_18635]) ).

cnf(c_19317,plain,
    ( ~ c0_1(a537)
    | ~ sP14_iProver_split
    | c3_1(a537)
    | c1_1(a537) ),
    inference(instantiation,[status(thm)],[c_18654]) ).

cnf(c_19318,plain,
    ( ~ c2_1(a537)
    | ~ sP13_iProver_split
    | c1_1(a537)
    | c0_1(a537) ),
    inference(instantiation,[status(thm)],[c_18652]) ).

cnf(c_19320,plain,
    ( ~ c2_1(a537)
    | ~ sP9_iProver_split
    | c3_1(a537)
    | c1_1(a537) ),
    inference(instantiation,[status(thm)],[c_18646]) ).

cnf(c_19322,plain,
    ( ~ sP16_iProver_split
    | c3_1(a537)
    | c1_1(a537)
    | c0_1(a537) ),
    inference(instantiation,[status(thm)],[c_18657]) ).

cnf(c_19333,plain,
    ( ~ c3_1(a584)
    | ~ c1_1(a584)
    | ~ sP20_iProver_split
    | c2_1(a584) ),
    inference(instantiation,[status(thm)],[c_18667]) ).

cnf(c_19363,plain,
    ( ~ c3_1(a546)
    | ~ sP29_iProver_split
    | c2_1(a546)
    | c1_1(a546) ),
    inference(instantiation,[status(thm)],[c_18695]) ).

cnf(c_19433,plain,
    ( ~ c2_1(a582)
    | ~ sP13_iProver_split
    | c1_1(a582)
    | c0_1(a582) ),
    inference(instantiation,[status(thm)],[c_18652]) ).

cnf(c_19483,plain,
    ( ~ c3_1(a551)
    | ~ c2_1(a551)
    | ~ sP6_iProver_split
    | c0_1(a551) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_19484,plain,
    ( ~ c3_1(a546)
    | ~ c2_1(a546)
    | ~ sP6_iProver_split
    | c0_1(a546) ),
    inference(instantiation,[status(thm)],[c_18642]) ).

cnf(c_19503,plain,
    ( ~ c2_1(a563)
    | ~ c1_1(a563)
    | ~ c0_1(a563)
    | ~ sP18_iProver_split ),
    inference(instantiation,[status(thm)],[c_18661]) ).

cnf(c_19549,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19503,c_19484,c_19483,c_19433,c_19363,c_19333,c_19317,c_19318,c_19320,c_19322,c_19277,c_19259,c_19249,c_19161,c_19113,c_19070,c_19066,c_19065,c_19064,c_19050,c_19049,c_18990,c_18972,c_18973,c_18893,c_18889,c_18884,c_18882,c_18877,c_18875,c_18874,c_18855,c_18851,c_18846,c_18841,c_18832,c_18829,c_18824,c_18825,c_18823,c_18815,c_18812,c_18807,c_18806,c_18796,c_18793,c_18786,c_18785,c_18782,c_18777,c_18775,c_18768,c_18766,c_18763,c_18762,c_18761,c_18756,c_18753,c_18751,c_18750,c_18749,c_18748,c_18745,c_18744,c_18742,c_18741,c_18738,c_18737,c_18734,c_18719,c_18717,c_18711,c_18709,c_18699,c_18697,c_18696,c_18694,c_18692,c_18679,c_18677,c_18675,c_18673,c_18672,c_18668,c_18659,c_18656,c_18653,c_18650,c_18647,c_18645,c_18641,c_18637,c_18681,c_8829,c_8812,c_8795,c_8430,c_8413,c_8396,c_7467,c_7457,c_7447,c_7077,c_7063,c_7049,c_5051,c_5034,c_5017,c_4322,c_4312,c_4302,c_3713,c_3703,c_3693,c_2996,c_2986,c_2976,c_509,c_487,c_397,c_292,c_289,c_280,c_165,c_166,c_169,c_173,c_174,c_177,c_193,c_197,c_201,c_213,c_229,c_230,c_241,c_242,c_249,c_250,c_253,c_129,c_130,c_131,c_133,c_134,c_135,c_167,c_170,c_171,c_175,c_179,c_194,c_195,c_198,c_199,c_202,c_203,c_214,c_215,c_231,c_243,c_251,c_254,c_255]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.14  % Command  : run_iprover %s %d THM
% 0.12/0.35  % Computer : n011.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sat Aug 26 19:57:24 EDT 2023
% 0.12/0.36  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.51/1.21  % SZS status Started for theBenchmark.p
% 0.51/1.21  % SZS status Theorem for theBenchmark.p
% 0.51/1.21  
% 0.51/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.51/1.21  
% 0.51/1.21  ------  iProver source info
% 0.51/1.21  
% 0.51/1.21  git: date: 2023-05-31 18:12:56 +0000
% 0.51/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.51/1.21  git: non_committed_changes: false
% 0.51/1.21  git: last_make_outside_of_git: false
% 0.51/1.21  
% 0.51/1.21  ------ Parsing...
% 0.51/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.51/1.21  
% 0.51/1.21  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.51/1.21   gs_s  sp: 106 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.51/1.21  ------ Proving...
% 0.51/1.21  ------ Problem Properties 
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  clauses                                 208
% 0.51/1.21  conjectures                             208
% 0.51/1.21  EPR                                     208
% 0.51/1.21  Horn                                    113
% 0.51/1.21  unary                                   0
% 0.51/1.21  binary                                  97
% 0.51/1.21  lits                                    559
% 0.51/1.21  lits eq                                 0
% 0.51/1.21  fd_pure                                 0
% 0.51/1.21  fd_pseudo                               0
% 0.51/1.21  fd_cond                                 0
% 0.51/1.21  fd_pseudo_cond                          0
% 0.51/1.21  AC symbols                              0
% 0.51/1.21  
% 0.51/1.21  ------ Schedule EPR non Horn non eq is on
% 0.51/1.21  
% 0.51/1.21  ------ no equalities: superposition off 
% 0.51/1.21  
% 0.51/1.21  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  ------ 
% 0.51/1.21  Current options:
% 0.51/1.21  ------ 
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  ------ Proving...
% 0.51/1.21  
% 0.51/1.21  
% 0.51/1.21  % SZS status Theorem for theBenchmark.p
% 0.51/1.21  
% 0.51/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.21  
% 0.51/1.22  
%------------------------------------------------------------------------------