TSTP Solution File: SYN465+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 03:07:31 EDT 2023

% Result   : Theorem 3.49s 1.16s
% Output   : CNFRefutation 3.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f218)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp24
        | hskp21 )
      & ( hskp27
        | hskp6
        | hskp12 )
      & ( hskp26
        | hskp27
        | hskp3 )
      & ( hskp13
        | hskp2
        | hskp3 )
      & ( hskp26
        | hskp30
        | hskp7 )
      & ( hskp24
        | hskp12
        | hskp31 )
      & ( hskp2
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | ~ c1_1(X101) ) ) )
      & ( hskp9
        | hskp25
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( hskp13
        | hskp15
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( hskp31
        | hskp28
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) ) )
      & ( hskp24
        | hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp26
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( hskp19
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) ) )
      & ( hskp2
        | hskp0
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c0_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp27
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp9
        | hskp28
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp16
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp7
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp17
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp26
        | hskp28
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp3
        | hskp25
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp24
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp15
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp8
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp3
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp9
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp2
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp6
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp23
        | hskp30
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp22
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp21
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp8
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp4
        | hskp20
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp19
        | hskp11
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp18
        | hskp17
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp30
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c3_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp16
        | hskp15
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp14
        | hskp3
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c2_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp8
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp12
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp30
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp5
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp5
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp7
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | hskp0
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp7
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c2_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c3_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | hskp29
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp0
        | hskp28
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a76)
          & c1_1(a76)
          & c0_1(a76)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a20)
          & c2_1(a20)
          & c0_1(a20)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a8)
          & c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2)
          & c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a65)
          & ~ c1_1(a65)
          & c3_1(a65)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a57)
          & ~ c1_1(a57)
          & ~ c0_1(a57)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a54)
          & c3_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a52)
          & ~ c0_1(a52)
          & c3_1(a52)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a42)
          & ~ c1_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a40)
          & ~ c2_1(a40)
          & ~ c0_1(a40)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a39)
          & ~ c0_1(a39)
          & c2_1(a39)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a36)
          & c1_1(a36)
          & c0_1(a36)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a35)
          & ~ c0_1(a35)
          & c1_1(a35)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a33)
          & c2_1(a33)
          & c1_1(a33)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a30)
          & c3_1(a30)
          & c2_1(a30)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a29)
          & ~ c2_1(a29)
          & c1_1(a29)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a26)
          & ~ c0_1(a26)
          & c3_1(a26)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a24)
          & c3_1(a24)
          & c1_1(a24)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a21)
          & ~ c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a17)
          & ~ c0_1(a17)
          & c1_1(a17)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a10)
          & ~ c1_1(a10)
          & c2_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a9)
          & ~ c1_1(a9)
          & ~ c0_1(a9)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c0_1(a7)
          & c3_1(a7)
          & c1_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a6)
          & c3_1(a6)
          & c0_1(a6)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a4)
          & c2_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & ~ c1_1(a1)
          & c0_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp24
          | hskp21 )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( hskp26
          | hskp27
          | hskp3 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( hskp24
          | hskp12
          | hskp31 )
        & ( hskp2
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( hskp9
          | hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( hskp13
          | hskp15
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( hskp31
          | hskp28
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( hskp24
          | hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp26
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp19
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) ) )
        & ( hskp2
          | hskp0
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp27
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp9
          | hskp28
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp16
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp7
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp17
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp26
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp3
          | hskp25
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp24
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp15
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp8
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp3
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp9
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp2
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp6
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp23
          | hskp30
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp22
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp21
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp8
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp4
          | hskp20
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp19
          | hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp30
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | hskp15
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp14
          | hskp3
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp8
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp5
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | hskp29
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp0
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a76)
            & c1_1(a76)
            & c0_1(a76)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a20)
            & c2_1(a20)
            & c0_1(a20)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a8)
            & c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2)
            & c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a65)
            & ~ c1_1(a65)
            & c3_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a57)
            & ~ c1_1(a57)
            & ~ c0_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a54)
            & c3_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a52)
            & ~ c0_1(a52)
            & c3_1(a52)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a42)
            & ~ c1_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a39)
            & ~ c0_1(a39)
            & c2_1(a39)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a36)
            & c1_1(a36)
            & c0_1(a36)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a35)
            & ~ c0_1(a35)
            & c1_1(a35)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a33)
            & c2_1(a33)
            & c1_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a30)
            & c3_1(a30)
            & c2_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a29)
            & ~ c2_1(a29)
            & c1_1(a29)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a26)
            & ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a24)
            & c3_1(a24)
            & c1_1(a24)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a10)
            & ~ c1_1(a10)
            & c2_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a4)
            & c2_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c1_1(a1)
            & c0_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp5
          | hskp24
          | hskp21 )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( hskp26
          | hskp27
          | hskp3 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( hskp24
          | hskp12
          | hskp31 )
        & ( hskp2
          | hskp12
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp9
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp13
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp31
          | hskp28
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp26
          | hskp12
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp19
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp2
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp21
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp27
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) ) )
        & ( hskp9
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c1_1(X11)
                | ~ c0_1(X11) ) ) )
        & ( hskp16
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp7
          | hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp17
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp26
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp3
          | hskp25
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp12
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp24
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp15
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp21
          | hskp8
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp3
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp6
          | hskp17
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp23
          | hskp30
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp22
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp4
          | hskp20
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp19
          | hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp18
          | hskp17
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp30
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp16
          | hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp14
          | hskp3
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp8
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp8
          | hskp30
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | hskp30
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp5
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp5
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp7
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp9
          | hskp0
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp8
          | hskp7
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp28
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp6
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp5
          | hskp29
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp2
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp1
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp0
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp0
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ( c3_1(a76)
            & c1_1(a76)
            & c0_1(a76)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a20)
            & c2_1(a20)
            & c0_1(a20)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a8)
            & c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2)
            & c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a65)
            & ~ c1_1(a65)
            & c3_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a57)
            & ~ c1_1(a57)
            & ~ c0_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a54)
            & c3_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a52)
            & ~ c0_1(a52)
            & c3_1(a52)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a42)
            & ~ c1_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a39)
            & ~ c0_1(a39)
            & c2_1(a39)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a36)
            & c1_1(a36)
            & c0_1(a36)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a35)
            & ~ c0_1(a35)
            & c1_1(a35)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a33)
            & c2_1(a33)
            & c1_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a30)
            & c3_1(a30)
            & c2_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a29)
            & ~ c2_1(a29)
            & c1_1(a29)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a26)
            & ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a24)
            & c3_1(a24)
            & c1_1(a24)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a10)
            & ~ c1_1(a10)
            & c2_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a4)
            & c2_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c1_1(a1)
            & c0_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp21
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c1_1(X11)
            | ~ c0_1(X11) ) ) )
    & ( hskp16
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp17
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp12
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp15
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp3
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp9
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp22
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp8
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp30
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c3_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp8
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp5
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp5
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp7
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c3_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp28
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp6
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp3
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c0_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp2
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp1
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp0
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c0_1(X97)
            | c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c1_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c0_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp12
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp0
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X11] :
          ( ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp28
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp8
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X29] :
          ( ~ c1_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp17
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp30
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X37] :
          ( ~ c1_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c2_1(X42)
          | ~ c0_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X47] :
          ( ~ c1_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c0_1(X49)
          | c3_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp3
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp30
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X70] :
          ( ~ c0_1(X70)
          | c3_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c3_1(X72)
          | ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp0
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X76] :
          ( ~ c1_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X82] :
          ( ~ c1_1(X82)
          | c3_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X94] :
          ( ~ c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X97] :
          ( ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c3_1(X99)
          | ~ c1_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a4)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c2_1(a4)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c1_1(a4)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f16,plain,
    ( c2_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c1_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c3_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c1_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c0_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c2_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c1_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c1_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c3_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c0_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c3_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c2_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c1_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c3_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c0_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c2_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c2_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( c3_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c0_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c0_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c3_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( ~ c0_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c2_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c3_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c3_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c2_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( c3_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c1_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( ~ c0_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c1_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c3_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c0_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ( c0_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ( c1_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X76] :
      ( hskp8
      | hskp7
      | ~ c1_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f154,plain,
    ! [X63] :
      ( hskp11
      | hskp30
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f156,plain,
    ! [X61] :
      ( hskp12
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f165,plain,
    ! [X45] :
      ( hskp19
      | hskp11
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X23] :
      ( hskp21
      | hskp8
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ! [X17] :
      ( hskp3
      | hskp25
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f185,plain,
    ! [X12] :
      ( hskp16
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f190,plain,
    ! [X6] :
      ( hskp19
      | hskp29
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X5] :
      ( hskp26
      | hskp12
      | ~ c3_1(X5)
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X4] :
      ( hskp24
      | hskp14
      | ~ c3_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f195,plain,
    ! [X1] :
      ( hskp9
      | hskp25
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ! [X0] :
      ( hskp2
      | hskp12
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ( hskp24
    | hskp12
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f199,plain,
    ( hskp13
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp5
    | hskp24
    | hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp5
    | hskp24
    | hskp21 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_52,negated_conjecture,
    ( hskp3
    | hskp13
    | hskp2 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_54,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp31 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_55,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp12
    | hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_56,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp9
    | hskp25 ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_59,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp12
    | hskp26 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_61,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp19
    | hskp29 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_63,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp21 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp16 ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_70,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp3
    | hskp25 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp21
    | hskp8 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_81,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp22 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_82,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp19
    | hskp11 ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_88,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_93,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_95,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp11 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_104,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp8 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_107,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_109,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_111,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_112,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_115,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp31
    | c3_1(a76) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp31
    | c1_1(a76) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp31
    | c0_1(a76) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp30
    | c3_1(a20) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp30
    | c2_1(a20) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp30
    | c0_1(a20) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp29
    | c3_1(a8) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp29
    | c2_1(a8) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp29
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_137,negated_conjecture,
    ( ~ c3_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_138,negated_conjecture,
    ( ~ c1_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_139,negated_conjecture,
    ( ~ c0_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_141,negated_conjecture,
    ( ~ c1_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp25
    | c3_1(a54) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp25
    | c0_1(a54) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_145,negated_conjecture,
    ( ~ c2_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_146,negated_conjecture,
    ( ~ c0_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp24
    | c3_1(a52) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_153,negated_conjecture,
    ( ~ c3_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_154,negated_conjecture,
    ( ~ c2_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_155,negated_conjecture,
    ( ~ c0_1(a40)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp21
    | c2_1(a39) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_166,negated_conjecture,
    ( ~ c0_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp19
    | c1_1(a35) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp16
    | c3_1(a30) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp16
    | c2_1(a30) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp15
    | c1_1(a29) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_185,negated_conjecture,
    ( ~ c0_1(a28)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp14
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp14
    | c2_1(a28) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_192,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp12
    | c3_1(a24) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp12
    | c1_1(a24) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_198,negated_conjecture,
    ( ~ c2_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp11
    | c0_1(a21) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_206,negated_conjecture,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_207,negated_conjecture,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_210,negated_conjecture,
    ( ~ hskp8
    | c2_1(a13) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp8
    | c1_1(a13) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp7
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp7
    | c0_1(a12) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_218,negated_conjecture,
    ( ~ c1_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp6
    | c2_1(a10) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_221,negated_conjecture,
    ( ~ c2_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_222,negated_conjecture,
    ( ~ c1_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_223,negated_conjecture,
    ( ~ c0_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_225,negated_conjecture,
    ( ~ c0_1(a7)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp4
    | c1_1(a7) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_230,negated_conjecture,
    ( ~ hskp3
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp3
    | c0_1(a6) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_232,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_233,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(a5)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp2
    | c2_1(a5) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_236,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_237,negated_conjecture,
    ( ~ c1_1(a4)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_238,negated_conjecture,
    ( ~ hskp1
    | c2_1(a4) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp1
    | c0_1(a4) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_242,negated_conjecture,
    ( ~ c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_244,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_244,c_236,c_232,c_192,c_52]) ).

cnf(c_347,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_236,c_232,c_192,c_52,c_95]) ).

cnf(c_350,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_236,c_232,c_192,c_52,c_104]) ).

cnf(c_356,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_236,c_232,c_192,c_52,c_97]) ).

cnf(c_377,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp3
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_236,c_232,c_192,c_52,c_70]) ).

cnf(c_380,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_236,c_232,c_192,c_52,c_66]) ).

cnf(c_381,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_380]) ).

cnf(c_386,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp19
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_236,c_232,c_192,c_52,c_86]) ).

cnf(c_387,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp19
    | hskp11 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_392,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_236,c_232,c_192,c_52,c_74]) ).

cnf(c_393,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp8 ),
    inference(renaming,[status(thm)],[c_392]) ).

cnf(c_410,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp19
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_236,c_232,c_192,c_52,c_61]) ).

cnf(c_411,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp19
    | hskp29 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_413,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp12
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_236,c_232,c_192,c_52,c_60]) ).

cnf(c_414,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp12
    | hskp26 ),
    inference(renaming,[status(thm)],[c_413]) ).

cnf(c_416,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp24
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_236,c_232,c_192,c_52,c_59]) ).

cnf(c_417,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp24
    | hskp14 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_425,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp9
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_236,c_232,c_192,c_52,c_56]) ).

cnf(c_426,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp9
    | hskp25 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_428,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp12
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_236,c_232,c_192,c_52,c_55]) ).

cnf(c_429,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp12
    | hskp2 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_431,negated_conjecture,
    ( ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_236,c_232,c_192,c_52,c_113]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_236,c_232,c_192,c_52,c_112]) ).

cnf(c_435,negated_conjecture,
    ( ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_236,c_232,c_192,c_52,c_109]) ).

cnf(c_437,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_236,c_232,c_192,c_52,c_115]) ).

cnf(c_438,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_439,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_236,c_232,c_192,c_52,c_107]) ).

cnf(c_440,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_442,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_236,c_232,c_192,c_52,c_101]) ).

cnf(c_443,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_442]) ).

cnf(c_448,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_236,c_232,c_192,c_52,c_83]) ).

cnf(c_449,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_450,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_236,c_232,c_192,c_52,c_82]) ).

cnf(c_451,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_456,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_236,c_232,c_192,c_52,c_99]) ).

cnf(c_457,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_458,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_236,c_232,c_192,c_52,c_94]) ).

cnf(c_459,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_462,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_236,c_232,c_192,c_52,c_105]) ).

cnf(c_463,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_462]) ).

cnf(c_464,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_236,c_232,c_192,c_52,c_98]) ).

cnf(c_465,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_464]) ).

cnf(c_466,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_236,c_232,c_192,c_52,c_88]) ).

cnf(c_467,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_468,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_236,c_232,c_192,c_52,c_81]) ).

cnf(c_469,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_468]) ).

cnf(c_472,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_236,c_232,c_192,c_52,c_73]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_236,c_232,c_192,c_52,c_71]) ).

cnf(c_475,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_474]) ).

cnf(c_478,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_236,c_232,c_192,c_52,c_63]) ).

cnf(c_479,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_478]) ).

cnf(c_481,plain,
    ( ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_236,c_232,c_192,c_52,c_111]) ).

cnf(c_482,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_236,c_232,c_192,c_52,c_116]) ).

cnf(c_484,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_93,c_277]) ).

cnf(c_486,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_236,c_232,c_192,c_52,c_89]) ).

cnf(c_488,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_489,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_236,c_232,c_192,c_52,c_84]) ).

cnf(c_490,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_489]) ).

cnf(c_491,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_236,c_232,c_192,c_52,c_106]) ).

cnf(c_492,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_493,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_236,c_232,c_192,c_52,c_102]) ).

cnf(c_494,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_493]) ).

cnf(c_495,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_236,c_232,c_192,c_52,c_75]) ).

cnf(c_496,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_1390,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_457,c_465]) ).

cnf(c_2137,plain,
    ( c0_1(a76)
    | hskp24
    | hskp12 ),
    inference(resolution,[status(thm)],[c_54,c_119]) ).

cnf(c_2147,plain,
    ( c1_1(a76)
    | hskp24
    | hskp12 ),
    inference(resolution,[status(thm)],[c_54,c_118]) ).

cnf(c_2157,plain,
    ( c3_1(a76)
    | hskp24
    | hskp12 ),
    inference(resolution,[status(thm)],[c_54,c_117]) ).

cnf(c_4109,plain,
    ( ~ c0_1(a52)
    | hskp5
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_146]) ).

cnf(c_4119,plain,
    ( ~ c2_1(a52)
    | hskp5
    | hskp21 ),
    inference(resolution,[status(thm)],[c_49,c_145]) ).

cnf(c_5269,plain,
    ( c2_1(a39)
    | hskp5
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_159]) ).

cnf(c_5279,plain,
    ( ~ c0_1(a39)
    | hskp5
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_158]) ).

cnf(c_5289,plain,
    ( ~ c3_1(a39)
    | hskp5
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_157]) ).

cnf(c_15690,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_1390]) ).

cnf(c_15691,plain,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_1390]) ).

cnf(c_15692,plain,
    ( hskp5
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1390]) ).

cnf(c_15693,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_496]) ).

cnf(c_15694,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_496]) ).

cnf(c_15695,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_496]) ).

cnf(c_15696,negated_conjecture,
    ( sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_15697,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_494]) ).

cnf(c_15698,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_494]) ).

cnf(c_15699,negated_conjecture,
    ( sP1_iProver_split
    | sP5_iProver_split
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_15700,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_492]) ).

cnf(c_15701,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_492]) ).

cnf(c_15702,negated_conjecture,
    ( sP2_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_15703,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_490]) ).

cnf(c_15704,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_490]) ).

cnf(c_15706,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_488]) ).

cnf(c_15707,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_488]) ).

cnf(c_15708,negated_conjecture,
    ( sP5_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_15709,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_486]) ).

cnf(c_15710,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_486]) ).

cnf(c_15711,negated_conjecture,
    ( sP7_iProver_split
    | sP13_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_15712,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_484]) ).

cnf(c_15713,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_484]) ).

cnf(c_15714,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_484]) ).

cnf(c_15715,negated_conjecture,
    ( sP15_iProver_split
    | sP16_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_15716,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_482]) ).

cnf(c_15717,negated_conjecture,
    ( sP8_iProver_split
    | sP14_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_15718,negated_conjecture,
    ( hskp21
    | sP2_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

cnf(c_15722,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_475]) ).

cnf(c_15724,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_473]) ).

cnf(c_15725,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_473]) ).

cnf(c_15726,negated_conjecture,
    ( hskp15
    | sP22_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_15729,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_469]) ).

cnf(c_15730,negated_conjecture,
    ( hskp22
    | sP2_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

cnf(c_15731,negated_conjecture,
    ( hskp30
    | sP5_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_15732,negated_conjecture,
    ( hskp28
    | sP4_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

cnf(c_15734,negated_conjecture,
    ( hskp8
    | sP14_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

cnf(c_15738,negated_conjecture,
    ( hskp21
    | sP7_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

cnf(c_15739,negated_conjecture,
    ( hskp8
    | sP10_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_15742,negated_conjecture,
    ( hskp7
    | sP1_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

cnf(c_15743,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_440]) ).

cnf(c_15744,negated_conjecture,
    ( hskp6
    | sP8_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_15745,negated_conjecture,
    ( hskp0
    | sP9_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_15746,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_435]) ).

cnf(c_15747,negated_conjecture,
    ( hskp4
    | sP1_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

cnf(c_15748,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_433]) ).

cnf(c_15750,negated_conjecture,
    ( hskp1
    | sP1_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_15751,negated_conjecture,
    ( hskp12
    | hskp2
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_15752,negated_conjecture,
    ( hskp9
    | hskp25
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_15755,negated_conjecture,
    ( hskp24
    | hskp14
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_15756,negated_conjecture,
    ( hskp12
    | hskp26
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

cnf(c_15757,negated_conjecture,
    ( hskp19
    | hskp29
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_15764,negated_conjecture,
    ( hskp21
    | hskp8
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

cnf(c_15766,negated_conjecture,
    ( hskp19
    | hskp11
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_15768,negated_conjecture,
    ( hskp3
    | hskp25
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_15776,negated_conjecture,
    ( hskp30
    | hskp11
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_15778,negated_conjecture,
    ( hskp7
    | hskp8
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

cnf(c_15794,plain,
    ( ~ c0_1(a1)
    | ~ sP25_iProver_split
    | c2_1(a1)
    | c1_1(a1) ),
    inference(instantiation,[status(thm)],[c_15729]) ).

cnf(c_15815,plain,
    ( ~ c3_1(a24)
    | ~ c1_1(a24)
    | c2_1(a24)
    | hskp16 ),
    inference(instantiation,[status(thm)],[c_381]) ).

cnf(c_15823,plain,
    ( ~ c2_1(a28)
    | ~ c1_1(a28)
    | ~ sP5_iProver_split
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

cnf(c_15824,plain,
    ( ~ c2_1(a13)
    | ~ c1_1(a13)
    | ~ sP5_iProver_split
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

cnf(c_15828,plain,
    ( ~ c1_1(a29)
    | ~ c0_1(a29)
    | ~ sP7_iProver_split
    | c3_1(a29) ),
    inference(instantiation,[status(thm)],[c_15700]) ).

cnf(c_15831,plain,
    ( ~ c1_1(a12)
    | ~ c0_1(a12)
    | ~ sP7_iProver_split
    | c3_1(a12) ),
    inference(instantiation,[status(thm)],[c_15700]) ).

cnf(c_15834,plain,
    ( ~ c1_1(a29)
    | ~ sP8_iProver_split
    | c2_1(a29)
    | c0_1(a29) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

cnf(c_15835,plain,
    ( ~ c1_1(a24)
    | ~ sP8_iProver_split
    | c2_1(a24)
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

cnf(c_15838,plain,
    ( ~ c3_1(a28)
    | ~ c2_1(a28)
    | ~ sP15_iProver_split
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

cnf(c_15844,plain,
    ( ~ c3_1(a24)
    | ~ sP1_iProver_split
    | c2_1(a24)
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_15691]) ).

cnf(c_15848,plain,
    ( ~ c1_1(a35)
    | c3_1(a35)
    | c0_1(a35)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_347]) ).

cnf(c_15852,plain,
    ( ~ c1_1(a13)
    | c3_1(a13)
    | c0_1(a13)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_347]) ).

cnf(c_15873,plain,
    ( ~ c3_1(a52)
    | ~ sP1_iProver_split
    | c2_1(a52)
    | c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_15691]) ).

cnf(c_15884,plain,
    ( ~ c2_1(a13)
    | ~ sP14_iProver_split
    | c3_1(a13)
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15710]) ).

cnf(c_15885,plain,
    ( ~ c2_1(a10)
    | ~ sP14_iProver_split
    | c3_1(a10)
    | c0_1(a10) ),
    inference(instantiation,[status(thm)],[c_15710]) ).

cnf(c_15886,plain,
    ( ~ c2_1(a5)
    | ~ sP14_iProver_split
    | c3_1(a5)
    | c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_15710]) ).

cnf(c_15896,plain,
    ( ~ c0_1(a10)
    | ~ sP11_iProver_split
    | c3_1(a10)
    | c1_1(a10) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

cnf(c_15917,plain,
    ( ~ c3_1(a30)
    | ~ c2_1(a30)
    | ~ sP15_iProver_split
    | c0_1(a30) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

cnf(c_15918,plain,
    ( ~ c3_1(a30)
    | ~ c2_1(a30)
    | ~ c0_1(a30)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_15695]) ).

cnf(c_15935,plain,
    ( ~ c3_1(a24)
    | ~ c1_1(a24)
    | ~ c0_1(a24)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15693]) ).

cnf(c_15953,plain,
    ( ~ c2_1(a30)
    | ~ sP18_iProver_split
    | c1_1(a30)
    | c0_1(a30) ),
    inference(instantiation,[status(thm)],[c_15716]) ).

cnf(c_15956,plain,
    ( ~ c2_1(a10)
    | ~ sP18_iProver_split
    | c1_1(a10)
    | c0_1(a10) ),
    inference(instantiation,[status(thm)],[c_15716]) ).

cnf(c_15957,plain,
    ( ~ c2_1(a5)
    | ~ sP18_iProver_split
    | c1_1(a5)
    | c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_15716]) ).

cnf(c_15962,plain,
    ( ~ c3_1(a24)
    | ~ c1_1(a24)
    | ~ sP12_iProver_split
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_15707]) ).

cnf(c_15963,plain,
    ( ~ c3_1(a13)
    | ~ c1_1(a13)
    | ~ sP12_iProver_split
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15707]) ).

cnf(c_15980,plain,
    ( ~ c2_1(a39)
    | ~ sP14_iProver_split
    | c3_1(a39)
    | c0_1(a39) ),
    inference(instantiation,[status(thm)],[c_15710]) ).

cnf(c_15985,plain,
    ( ~ c3_1(a30)
    | ~ c0_1(a30)
    | ~ sP3_iProver_split
    | c1_1(a30) ),
    inference(instantiation,[status(thm)],[c_15694]) ).

cnf(c_15990,plain,
    ( ~ c3_1(a6)
    | ~ c0_1(a6)
    | ~ sP3_iProver_split
    | c1_1(a6) ),
    inference(instantiation,[status(thm)],[c_15694]) ).

cnf(c_15995,plain,
    ( ~ c3_1(a20)
    | ~ c2_1(a20)
    | ~ c0_1(a20)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_15695]) ).

cnf(c_16013,plain,
    ( ~ sP16_iProver_split
    | c2_1(a15)
    | c1_1(a15)
    | c0_1(a15) ),
    inference(instantiation,[status(thm)],[c_15713]) ).

cnf(c_16014,plain,
    ( ~ sP16_iProver_split
    | c2_1(a9)
    | c1_1(a9)
    | c0_1(a9) ),
    inference(instantiation,[status(thm)],[c_15713]) ).

cnf(c_16047,plain,
    ( ~ c1_1(a21)
    | ~ c0_1(a21)
    | ~ sP7_iProver_split
    | c3_1(a21) ),
    inference(instantiation,[status(thm)],[c_15700]) ).

cnf(c_16048,plain,
    ( ~ c0_1(a21)
    | ~ sP11_iProver_split
    | c3_1(a21)
    | c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

cnf(c_16050,plain,
    ( ~ c3_1(a76)
    | ~ c1_1(a76)
    | ~ c0_1(a76)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15693]) ).

cnf(c_16053,plain,
    ( ~ c3_1(a20)
    | ~ c0_1(a20)
    | ~ sP3_iProver_split
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_15694]) ).

cnf(c_16057,plain,
    ( ~ sP10_iProver_split
    | c3_1(a57)
    | c2_1(a57)
    | c1_1(a57) ),
    inference(instantiation,[status(thm)],[c_15704]) ).

cnf(c_16061,plain,
    ( ~ sP10_iProver_split
    | c3_1(a21)
    | c2_1(a21)
    | c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_15704]) ).

cnf(c_16065,plain,
    ( ~ c3_1(a54)
    | ~ c0_1(a54)
    | ~ sP3_iProver_split
    | c1_1(a54) ),
    inference(instantiation,[status(thm)],[c_15694]) ).

cnf(c_16067,plain,
    ( ~ sP16_iProver_split
    | c2_1(a52)
    | c1_1(a52)
    | c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_15713]) ).

cnf(c_16080,plain,
    ( ~ c2_1(a57)
    | ~ sP14_iProver_split
    | c3_1(a57)
    | c0_1(a57) ),
    inference(instantiation,[status(thm)],[c_15710]) ).

cnf(c_16088,plain,
    ( ~ c2_1(a7)
    | ~ c1_1(a7)
    | ~ sP5_iProver_split
    | c0_1(a7) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

cnf(c_16091,plain,
    ( ~ c1_1(a7)
    | ~ sP8_iProver_split
    | c2_1(a7)
    | c0_1(a7) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

cnf(c_16093,plain,
    ( ~ c3_1(a24)
    | ~ c1_1(a24)
    | ~ sP17_iProver_split
    | c2_1(a24) ),
    inference(instantiation,[status(thm)],[c_15714]) ).

cnf(c_16099,plain,
    ( ~ c1_1(a24)
    | ~ c0_1(a24)
    | ~ sP22_iProver_split
    | c2_1(a24) ),
    inference(instantiation,[status(thm)],[c_15724]) ).

cnf(c_16103,plain,
    ( ~ sP28_iProver_split
    | c3_1(a40)
    | c2_1(a40)
    | c0_1(a40) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

cnf(c_16122,plain,
    ( ~ sP29_iProver_split
    | c3_1(a57)
    | c1_1(a57)
    | c0_1(a57) ),
    inference(instantiation,[status(thm)],[c_15748]) ).

cnf(c_16140,plain,
    ( ~ c1_1(a24)
    | ~ c0_1(a24)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15690]) ).

cnf(c_16158,plain,
    ( ~ c3_1(a6)
    | ~ c1_1(a6)
    | ~ c0_1(a6)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15693]) ).

cnf(c_16175,plain,
    ( ~ c1_1(a2)
    | ~ c0_1(a2)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15690]) ).

cnf(c_16210,plain,
    ( ~ c3_1(a8)
    | ~ c2_1(a8)
    | ~ c1_1(a8)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_15698]) ).

cnf(c_16211,plain,
    ( ~ c1_1(a8)
    | ~ c0_1(a8)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_15690]) ).

cnf(c_16216,plain,
    ( ~ c2_1(a8)
    | ~ c1_1(a8)
    | ~ sP5_iProver_split
    | c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

cnf(c_16236,plain,
    ( ~ c3_1(a20)
    | ~ c2_1(a20)
    | ~ sP23_iProver_split
    | c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_15725]) ).

cnf(c_16243,plain,
    ( ~ c3_1(a30)
    | ~ c2_1(a30)
    | ~ sP23_iProver_split
    | c1_1(a30) ),
    inference(instantiation,[status(thm)],[c_15725]) ).

cnf(c_16245,plain,
    ( ~ c3_1(a28)
    | ~ c2_1(a28)
    | ~ sP23_iProver_split
    | c1_1(a28) ),
    inference(instantiation,[status(thm)],[c_15725]) ).

cnf(c_16252,plain,
    ( ~ c3_1(a5)
    | ~ c2_1(a5)
    | ~ sP23_iProver_split
    | c1_1(a5) ),
    inference(instantiation,[status(thm)],[c_15725]) ).

cnf(c_16260,plain,
    ( ~ c3_1(a20)
    | ~ c2_1(a20)
    | ~ c1_1(a20)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_15698]) ).

cnf(c_16268,plain,
    ( ~ c3_1(a20)
    | ~ c1_1(a20)
    | ~ c0_1(a20)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_15693]) ).

cnf(c_16298,plain,
    ( ~ c1_1(a52)
    | ~ sP8_iProver_split
    | c2_1(a52)
    | c0_1(a52) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

cnf(c_16324,plain,
    ( ~ c2_1(a4)
    | ~ c0_1(a4)
    | ~ sP9_iProver_split
    | c1_1(a4) ),
    inference(instantiation,[status(thm)],[c_15703]) ).

cnf(c_16401,plain,
    ( ~ c3_1(a13)
    | ~ c2_1(a13)
    | ~ c1_1(a13)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_15698]) ).

cnf(c_16421,plain,
    ( ~ c3_1(a28)
    | ~ c1_1(a28)
    | ~ sP12_iProver_split
    | c0_1(a28) ),
    inference(instantiation,[status(thm)],[c_15707]) ).

cnf(c_16439,plain,
    ( ~ c1_1(a21)
    | ~ sP21_iProver_split
    | c3_1(a21)
    | c2_1(a21) ),
    inference(instantiation,[status(thm)],[c_15722]) ).

cnf(c_16461,plain,
    ( ~ c1_1(a13)
    | ~ sP27_iProver_split
    | c3_1(a13)
    | c0_1(a13) ),
    inference(instantiation,[status(thm)],[c_15743]) ).

cnf(c_16639,plain,
    ( ~ c0_1(a21)
    | ~ sP13_iProver_split
    | c3_1(a21)
    | c2_1(a21) ),
    inference(instantiation,[status(thm)],[c_15709]) ).

cnf(c_16666,plain,
    ( ~ c0_1(a15)
    | ~ sP13_iProver_split
    | c3_1(a15)
    | c2_1(a15) ),
    inference(instantiation,[status(thm)],[c_15709]) ).

cnf(c_16667,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16666,c_16639,c_16461,c_16439,c_16421,c_16401,c_16324,c_16298,c_16260,c_16268,c_16252,c_16245,c_16243,c_16236,c_16210,c_16211,c_16216,c_16175,c_16158,c_16140,c_16122,c_16103,c_16099,c_16093,c_16088,c_16091,c_16080,c_16067,c_16065,c_16061,c_16057,c_16053,c_16050,c_16047,c_16048,c_16014,c_16013,c_15995,c_15990,c_15985,c_15980,c_15963,c_15962,c_15957,c_15956,c_15953,c_15935,c_15917,c_15918,c_15896,c_15886,c_15885,c_15884,c_15873,c_15852,c_15848,c_15844,c_15838,c_15835,c_15834,c_15831,c_15828,c_15824,c_15823,c_15815,c_15794,c_15778,c_15776,c_15768,c_15766,c_15764,c_15757,c_15756,c_15755,c_15752,c_15751,c_15750,c_15747,c_15745,c_15744,c_15742,c_15739,c_15738,c_15734,c_15732,c_15731,c_15730,c_15726,c_15718,c_15717,c_15715,c_15711,c_15708,c_15702,c_15699,c_15696,c_15692,c_5289,c_5279,c_5269,c_4119,c_4109,c_2157,c_2147,c_2137,c_137,c_138,c_139,c_141,c_145,c_146,c_153,c_154,c_155,c_157,c_158,c_165,c_166,c_177,c_181,c_182,c_185,c_193,c_197,c_198,c_205,c_206,c_207,c_209,c_213,c_217,c_218,c_221,c_222,c_223,c_225,c_233,c_234,c_237,c_241,c_242,c_117,c_118,c_119,c_121,c_122,c_123,c_125,c_126,c_127,c_130,c_131,c_142,c_143,c_147,c_159,c_167,c_178,c_179,c_183,c_186,c_187,c_194,c_195,c_199,c_210,c_211,c_214,c_215,c_219,c_227,c_230,c_231,c_235,c_238,c_239,c_243,c_49,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN465+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 20:47:14 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.49/1.16  % SZS status Started for theBenchmark.p
% 3.49/1.16  % SZS status Theorem for theBenchmark.p
% 3.49/1.16  
% 3.49/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.49/1.16  
% 3.49/1.16  ------  iProver source info
% 3.49/1.16  
% 3.49/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.49/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.49/1.16  git: non_committed_changes: false
% 3.49/1.16  git: last_make_outside_of_git: false
% 3.49/1.16  
% 3.49/1.16  ------ Parsing...
% 3.49/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.49/1.16  
% 3.49/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.49/1.16   gs_s  sp: 98 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.49/1.16  ------ Proving...
% 3.49/1.16  ------ Problem Properties 
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  clauses                                 195
% 3.49/1.16  conjectures                             192
% 3.49/1.16  EPR                                     195
% 3.49/1.16  Horn                                    112
% 3.49/1.16  unary                                   0
% 3.49/1.16  binary                                  96
% 3.49/1.16  lits                                    522
% 3.49/1.16  lits eq                                 0
% 3.49/1.16  fd_pure                                 0
% 3.49/1.16  fd_pseudo                               0
% 3.49/1.16  fd_cond                                 0
% 3.49/1.16  fd_pseudo_cond                          0
% 3.49/1.16  AC symbols                              0
% 3.49/1.16  
% 3.49/1.16  ------ Schedule EPR non Horn non eq is on
% 3.49/1.16  
% 3.49/1.16  ------ no equalities: superposition off 
% 3.49/1.16  
% 3.49/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  ------ 
% 3.49/1.16  Current options:
% 3.49/1.16  ------ 
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  ------ Proving...
% 3.49/1.16  
% 3.49/1.16  
% 3.49/1.16  % SZS status Theorem for theBenchmark.p
% 3.49/1.16  
% 3.49/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.49/1.17  
% 3.49/1.17  
%------------------------------------------------------------------------------